Bhagya

Punjab State Board PSEB 10th Class Maths Book Solutions Chapter 13 Surface Areas and Volumes Ex 13.3 Textbook Exercise Questions and Answers.

PSEB Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.3

Question 1.
A metallic sphere of radius 4.2 cm is melted and recast into the shape of cylinder of radius 6 cm. Find the height of the cylinder.
Solution:

Radius of sphere (r) = 4.2 cm
Radius of cylinder (R) = 6 cm
Let height of cylinder be H cm
On recasting volume remain same
Volume of sphere = Volume of cylinder
\(\frac{4}{3}\) πR³ = πR²H

\(\frac{4}{3}\) × \(\frac{22}{7}\) × 4.2 × 4.2 × 4.2 = \(\frac{22}{7}\) × 6 × 6 × H
∴ H = \(\frac{\frac{4}{3} \times \frac{22}{7} \times 4.2 \times 4.2 \times 4.2}{\frac{22}{7} \times 6 \times 6}\)

= \(\frac{4}{3} \times \frac{42}{10} \times \frac{42}{10} \times \frac{42}{10} \times \frac{1}{6 \times 6}\)

= \(\frac{2744}{1000}\) = 2.744 cm

Hence, Height of cylinder (H) = 2.744 cm.

Question 2.
Metallic spheres of radii 6 cm, 8 cm and 10 cm, respectively, are melted to form a single solid sphere. Find the radius of the resulting sphere.
Solution:

Radius of first sphere (r₁) = 6 cm
Radius of second sphere (r₂) = 8 cm
Radius of third sphere (r₃) = 10 cm
Let radius of new sphere formed be R cm
On recasting volume remain same
Volume of all three spheres = Volume of big sphere

\(\frac{4}{3}\) πr₁³ + \(\frac{4}{3}\) πr₂³ + \(\frac{4}{3}\) πr₃³ = \(\frac{4}{3}\) πR³

\(\frac{4}{3}\) π[(6)³ + (8)³ + (10)³] = \(\frac{4}{3}\) πR³

R³ = \(\frac{\frac{4}{3} \pi[216+512+1000]}{\frac{4}{3} \pi}\)

R³ = 1728
R = \(\sqrt[3]{1728}\) = \(\sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3}\)

= 2 × 2 × 3
R= 12 cm
Hence, Radius of sphere = 12 cm.

Question 3.
A 20 m deep well with-diameter 7 m is dug and the earth from digging is evenly spread out to form of platform 22 m by 14 m. Find the height of the platform.
Solution:
Diameter of well = 7 m
Radius of well (cylinder) R = \(\frac{7}{2}\) m
Height of well (H) = 20 m
Length of Platform (L) =22 m
Width of Platform (B) = 14 m
Let height of Platform be H m

Volume of earth dug out from well = Volume of platform formed

πR²H = L × B × H
× × × 20 = 22 × 14 × H
∴ H = \(\frac{\frac{22}{7} \times \frac{7}{2} \times \frac{7}{2} \times 20}{22 \times 14}\)
H = 2.5 cm
Hence, Height of Platform H = 2.5 cm.

Question 4.
A well of diameter 3 m is dug 14 m deep. The earth taken out of ¡t has been spread evenly all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment.
Solution:
Depth of well (h) = 14 m
Radius of well (r) = \(\frac{3}{2}\) m

Embankment is in the shape of hollow cylinder whose inner radius is same as radius of well and width of embañkment 4 m
Timer radius of embankment = Radius of well(r) = \(\frac{3}{2}\) m
Outer radius of embankment (R) = (\(\frac{3}{2}\) + 4) m
R = \(\frac{11}{2}\) = 5.5 m
Volume of earth dug out = Volume of embankment (so formed)
πR²h = volume of outer cylinder – volume of inner cylinder
πr²h = πR²H – πr²H
= πH[R² – r²]

\(\frac{22}{7} \times \frac{3}{2} \times \frac{3}{2} \times 14\) = \(\frac{22}{7}\) × H[(5.5)² – (1.5)²]

H = \(\frac{\frac{22}{7} \times \frac{3}{2} \times \frac{3}{2} \times 14}{\frac{22}{7} \times(5.5-1.5)(5.5+1.5)}\)

= \(\frac{1.5 \times 1.5 \times 14}{4 \times 7}\) = 1.125 m.

Hence, Height of embankment H = 1.125 m.

Question 5.
A container shaped like a right circular cylinder having 4iameter 12 cm and height 15 cm Is full of ice-cream. The ice cream is to be filled into cones of height 12 cm and diameter 6 cm, having a hemispherical shape on the top. Find the number of such cones which can be tilled with ice-cream.

Dinieter of cvlrnder (D) = 12 cm
.. Radius of cylinder (R) = 6 cm
Height of cylinder (H) = 15 cm
Diameter of cone = 6 cm
Radius of cone (r) = 3 cm
Radius of hemisphere (r) = 3 cm
Height of cone (h) = 12 cm
Let us suppose number of cones used to fill the ice-cream = n
Volume of ice cream in container = n [Volume of ice cream in one cone]

n = 10
Hence, Number of cones formed = 10.

Question 6.
How many silver coins 1.75 cm in diameter and of thickness 2 mm, must be melted to form a cuboid of dimensions
5.5 cm × 10 cm × 3.5 cm.
Solution:
Silver coin is in the form of cylinder
Diameter of silver coin = 1.75 cm
∴ Radius of silver coin (r) = \(\frac{1.75}{2}\) cm
Thickness of silver coin = Height of cylinder (H) = 2 mm

i.e., h = \(\frac{2}{10}\) cm.
Length of cuboid (L) = 5.5 cm
Width of cuboid (B) = 10 cm
Height of cuboid (H) = 3.5 cm
Let number of coins melted to form cuboid = n
∴ Volume of cuboid = n [volume of one silver coin]
= n[πr²h]
5.5 × 10 × 3.5 = n × \(\frac{22}{7} \times \frac{1.75}{2} \times \frac{1.75}{2} \times \frac{2}{10}\)

\(\frac{\frac{55}{10} \times 10 \times \frac{35}{10}}{\frac{22}{7} \times \frac{175}{200} \times \frac{175}{200} \times \frac{2}{10}}\) = n
n = 400
Hence, Number of corns so formed = 400.

Question 7.
A cylindrical bucket, 32 cm high and with radius of base 18 cm, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, find the radius and slant height of the heap.
Solution:

Radius of cylindrical bucket (R) = 18 cm
Height of cylindrical bucket (H) = 32 cm
Height of conical heap (h) = 24 cm
Let ‘r’ cm and ‘l’ cm be the radius and slant height of cone
Volume of sand in bucket = Volume of sand in cone
πR²H = \(\frac{1}{3}\) πr²h

\(\frac{22}{7}\) × 18 × 18 × 32 = \(\frac{1}{3}\) × \(\frac{22}{7}\) × r² × 24
\(\frac{\frac{22}{7} \times 18 \times 18 \times 32}{\frac{1}{3} \times \frac{22}{7} \times 24}\) = r²
r² = \(\frac{18 \times 18 \times 32}{8}\)
r² = 1296
r = \(\sqrt{1296}\)
r = 36
∴ Radius of cone (r) = 36 cm
As we know,
(Slant height)² = (Radius)² + (Height)²
l = r² + h²
l = \(\sqrt{(36)^{2}+(24)^{2}}\)

= \(\sqrt{1296+576}\) = \(\sqrt{1872}\)

= \(\sqrt{12 \times 12 \times 13}\)

l = 12\(\sqrt{13}\) cm

∴ Slant height of cone (1) = 12\(\sqrt{13}\) cm.

Question 8.
Water in a canal 6m wide and 1.5m deep is flowing with a speed of 10 km/k How much area will it irrigate in 30 minutes, If 8 cm of standing water is needed?
Solution:
Width of canal = 6 m
Depth of water in canal = 1.5 m
Velocity at which water is flowing = 10km/hr
Volume of water discharge in one hour = (Area of cross section) velocity
= (6 × 1.5m2) × 10 km
= 6 × 1.5 × 10 × 6 × 1.5 × 10 × 1000 × 1000 m³
∴ Volume of water discharge in \(\frac{1}{2}\) hour = \(\frac{1}{2}\) × \(\frac{6 \times 15}{10}\) × 1000 = 45000 m³
Let us suppose area to be irrigate = (x) m²

According to question, 8 cm standing water is required in field
∴ Volume of water discharge by canal in \(\frac{1}{2}\) hours = Volume of water in field 45000 m³ = (Area of field) × Height of water
45000 m³ = x × (\(\frac{8}{100}\) m)
\(\frac{4500}{8}\) × 100 = x
x = 562500 m²
x = \(\frac{562500}{10000}\) hectares
[1 m² = \(\frac{1}{10000}\) hectares]
x = 56.25 hectares
Hence, Area of field = 56.25 hectares.

Question 9.
A farmer connects a pipe of Internal diameter 20 cm from a canal into a cylindrical tank in her field, which is 10 m in diameter and 2 m deep. If water flows through the pipe at the rate 0f 3km/h, in how much time will the tank be filled?
Solution:
Velocity of water = 3 km/hr
Diameter of pipe = 20 cm
Radius of pipe (r) = 10 cm = \(\frac{10}{100}\) m = \(\frac{1}{10}\) m
Diameter of tank = 10 m
Radius of tank (R) = 5 m
Depth of tank (H) = 2 m
Let us suppose pipe filled a tank in n minutes
Volume of water tank = Volume of water through the pipe in n minutes
πR²H = n[Area of cross section × Velocity of water]

πR²H = n[(πr²) × 3 km/h]

\(\frac{22}{7}\) × (5)² × 2 = n[latex]\frac{22}{7} \times \frac{1}{10} \times \frac{1}{10} \times \frac{3 \times 1000}{60}[/latex]

25 × 2 × \(\frac{22}{7}\) = \(\frac{11}{7}\) n

n = \(\frac{25 \times 2 \times 22 \times 7}{11 \times 7}\)
n = 100 minutes
Hence, Time taken to fill the tank = 100 minutes.

Punjab State Board PSEB 7th Class English Book Solutions English Grammar Determiners Exercise Questions and Answers, Notes.

PSEB 7th Class English Grammar Determiners

Determiners वे शब्द हैं जो संज्ञा (noun) से पूर्व उसके अर्थ को किसी-न-किसी रूप में स्पष्ट करने या निश्चित करने के लिए प्रयुक्त होते हैं। यहां पर हम Determiners की एक सूची दे रहे हैं-

1. Demonstratives. this, that, these, those.
2. Possessives. my, your, his, her, its, our, their.
3. Cardinal numbers. one, two, three, etc.
4. Ordinal numbers. first, second, third, etc.
5. Articles. a, an, the.

Miscellaneous. Some, any, both, certain, enough, few, every, least, less, little, more, most, much, next; other, own, plenty, several, such, many, another, each, no, a few, a large number of, a small number of, a great deal of, a good deal of, a large quantity of, a small quantity of, all, etc.

(i) Demonstratives (निर्देशक शब्द). This, that, these, those ऐसे शब्द हैं जो वस्तुओं की ओर संकेत करते हैं। अतः वे निर्देशक कहलाते हैं और इनसे Determiners की एक श्रेणी बनती है; जैसे,

• This book was purchased by me.
• That book was purchased by me.
• These girls are singing.
• Those girls are dancing.

Note. This और that एकवचन हैं जबकि these और those बहुवचन हैं।

(ii) Possessives (सम्बन्धवाचक शब्द). My, her, your, his its, our, their सम्बन्धवाचक सर्वनाम हैं और – इनका प्रयोग एकवचन और बहुवचन दोनों प्रकार की संज्ञाओं के साथ किया जाता है; जैसे
1. (a) I like my book. (Singular)
(b) I kept my books in order. (Plural)

2. (a) He told his story in tears. (Singular)
(b) People tell his stories in tears. (Plural)

3. (a) Let me see your note-book. (Singular)
(b) Teacher will check your note-books. (Plural)

Note. सम्बन्धवाचक शब्द अगणनीय संज्ञाओं से पूर्व भी प्रयुक्त किए जा सकते हैं; जैसे,

• I took my bath. (uncountable)
• His courage failed him. (uncountable)
• We cannot doubt their patriotism: (uncountable)

(iii) and (iv) Cardinal and Ordinal Numbers. Cardinal and Ordinal संख्याएं भी Determiners का एक भाग हैं।

• Two miles are left to be covered.
• I am reading the third chapter now.
• I need fifty rupees for this.

(v) The Articles. a, an तथा the को अंग्रेजी व्याकरण में articles के नाम से पुकारा जाता है। ये वास्तव में Adjective determiners हैं।

A तथा An का प्रयोग
1. सभी एकवचन Countable Nouns से पूर्व a या an का प्रयोग होता है। यदि शब्द के पहले letter की आवाज़ स्वर (Vowel) से मेल खाये तो an और यदि व्यंजन (Consonant) से मेल खाये तो a का प्रयोग होता है; जैसे,

• I saw a man.
• He saw an elephant.
• A bench is lying there.
• An ox was eating grass.
• There is a lion in the forest.
• He needs an inkpot now.

2. कुछ शब्द vowel से आरम्भ होते हैं, परन्तु उनकी आवाज़ व्यंजन (Consonants) की होती है। ऐसे एकवचन Countable nouns से पूर्व a लगता है; जैसे,-

• He is a European.
• He is a one-eyed person.
• She is a university student.

3. कुछ शब्द आरम्भ तो h से होते हैं, परन्तु यदि h मौन होने के कारण उनकी आवाज़ स्वर (Vowel) से मेल खाती है तो ऐसे h वाले एकवचन (Countable nouns) शब्दों से पूर्व an का प्रयोग होता है; जैसे,

• He reached an hour earlier.
• He is an honest man.

यदि एकवचन संज्ञा (Countable Noun) से पूर्व कोई adjective आ जाये तो a तथा an उस Adjective से पहले स्वर या व्यंजन की ध्वनि के आधार पर लगाया जाता है; जैसे,

• He is an honourable man.
• It is a useful medicine.
• The doctor gave Pratap a glass eye.

Note. 1. a या an का प्रयोग किसी वाक्य या paragraph में किसी शब्द के साथ एक बार ही होता है। दूसरी बार उसके साथ the का प्रयोग करना चाहिए; जैसे,-
I saw a lion in a forest. The forest was thick. The lion was unable to find his way through the forest.
2. Uncountable Nouns (milk, water, rice, paper) से पूर्व a या an का प्रयोग नहीं होता।

The का प्रयोग

The का प्रयोग निम्नलिखित शब्दों के साथ किया जाता है-
1. विशेष वस्तु के साथ; जैसे,
I have spent the money that my father sent me.
This is the house where my childhood passed.

2. किसी एकवचन Noun से पूर्व जब Noun किसी जाति की जानकारी के लिए प्रयोग किया जाता हो; जैसे,-
The cow is a gentle animal.
The dog is a faithful animal.

3. किसी Adverb से पूर्व जब उसका प्रयोग यूं किया जाए; जैसे,-
The higher we go the cooler it is. The more the merrier.

4. नदियों, पर्वत श्रृंखलाओं तथा द्वीप-समूहों से पूर्व; जैसे,
The Ganga, The Himalayas, The British Isles.

5. महासागरों, समुद्रों तथा खाड़ियों से पूर्व; जैसे,
The Indian Ocean, The Red Sea, The Bay of Bengal, The Persian Gulf.

6. कुछ प्रान्तों तथा देशों के नाम से पूर्व; जैसे,
The Punjab (The land of five rivers), The United States.

7. कुछ प्रसिद्ध ग्रन्थों के नाम से पूर्व; जैसे,
The Ramayana, The Mahabharata, The Vedas, The Bible.

8. Adjective की Superlative degree से पहले; जैसे,
He is the best boy of our class.

9. ऐसे Proper Noun से पहले जिसके लिए किसी विशेषण का प्रयोग हो। यदि कोई Phrase या Clause भी विशेषण के रूप में प्रयोग की गई हो तो भी The का प्रयोग किया जाता है; जैसे,
The Great Nehru, The Famous Napoleon, The Immortal Mahatma Gandhi.

10. Adjectives से पूर्व भी ‘The’ का प्रयोग किया जाता है; जैसे,
The rich should help the poor.

11. समाचार-पत्रों, पत्रिकाओं, ऐतिहासिक भवनों और कुछ विशेष संस्थाओं के नामों से पहले; जैसे,
The Tribune, The Illustrated Weekly, The Taj, The Sharma Dramatic Club.

12. जातियों तथा दशाओं से पूर्व; जैसे,
The Hindus, The east, The west.

13. कुछ ऐसे Proper Nouns के साथ जो Common Nouns के रूप में प्रयोग किये जाते हैं; जैसे,
He is the Manoj Kumar of our class.

14. कुछ Abstract Nouns से पूर्व; जैसे,
The bravery of the Rajputs is known all over the world.

Filling the Blanks with Blanks

1. Ram is ………. honest man. (an)
2. ………. book you gave me is lost. (The)
3. ………. cow is a useful animal. (The)
4. ………. Himalayas have many ranges. (The)
5. Gardening is ………. useful hobby. (a)
6. I have been waiting for you for ………. hour. (an)
7. I saw ………. Sri Harmandar Sahib. (the)
8. Who is ………. head of your family ? (the)
9. He is ………. boy who stole my pen. (the)
10. Our Principal is ………. intelligent man. (an)
11. ………. stitch in time saves nine. (A)
12. Do not make ………. noise (a)
13. My brother is ………. M.A., you are ………. B.A. (an, a)
14. New Delhi is ………. capital of India. (the)
15. This is …….. interesting story. (an)
16. He has ……… lot of money. (a)
17. He has ………. monthly income of Rs. 7000. (a)
18. ………. stars are a beautiful sight. (The)
19. Give me ………. apple or ……… orange. (an, an)
20. You should always show sympathy to ……… poor. (the)
21. Get me ………. nice cup of tea. (a)
22. This is ………. excellent watch. (an)
23. ………. rose smells sweet. (The)
24. Where is ……… book which I gave you ? (the)
25. He is ………. able student but not ……… ablest. (an, the)
26. Why are you in ………. hurry ? (a)
27. I hate ……… dishonest servant. (a)
28. He is ………. idiot. (an)
29. ………. rich are not always happy. (The)
30. ………. moon has risen. (The)
31. There was ………. army of monkeys near ………. temple. (an, the)
32. This is quite ………. new idea. (a)
33. He is ……… hardworking boy. (a)
34. I need ……… pen and ………. inkpot. (a, an)
35. I read ………. Hindustan Times everyday. (the)
36. I have not seen ………. Taj as yet. (the)
37. ………. bad workman quarrels with his tools. (A)
38. ………. apple ………. day keeps ………. doctor away. (An, a, the)
39. ………. Ganga is ………. sacred river. (The, a)

Exercises for Practice

I. 1. You are ……… intelligent student.
2. Is not he ……… school teacher ?
3. I drank all ………. milk.
4. Who invented ………. radio ?
5. There was once ……… king called Ashoka.
6. I saw ……… accident on my way to school.
7. Do you ever read …….. Gita ?
8. He is ………. best boy in the class.
9. He is ………. Napoleon of India.
10. I had ………. busy time in Mumbai.

II. 1. Believe in God and do ………. right.
2. He is ……………. S.D.O.
3. ……… stitch in time saves nine.
4. Is not he ……….. foolish person ?
5. Do not laugh at ……….. poor.
6. Child is ……….. father of man.
7. ………. apple …………day keeps………. doctor away.
8. Marconi invented ……….. machine called radio.
9. Kapil Dev is ………. cricketer.
10. ……….. rose is beautiful.

III. 1. He is ……….. fair-weather friend.
2. Both ………. teams were equally strong.
3. Kalidas is ……….. Shakespeare of India.
4. Rabindranath wrote ………. national anthem.
5. ……….. hen lays eggs.
6. ……….. sun rises in ………. east.
7. I saw ……… one-eyed man.
8. ……….. Bible is ……….. sacred book of ………….. Christians.
9. ……….. Hindus and the Sikhs should live together.
10. Lord Rama was ……….. eldest son of Dashratha.

IV. 1. He is ……… best boy in the class.
2. ……….. Ganges is ………. sacred river of ……….. Hindus.
3. ……….. Himalayas are ……….. highest mountains in ………..world.
4. Mahatma Gandhi is………father of………..nation.
5. ………dog is……..faithful animal.
6. Your brother is ……….. honest man.
7. …………. rich should help ………. poor.
8. I want ……….. orange and not ………. apple.
9. She stood first in ……….. examination.
10. My school is at ……….. stone’s throw from my house.

V. 1. He held him by ………. ear.
2. She is ………. actress.
3. He is ……….. film actor.
4. What ……….. fool he is !
5. This is ……….. old temple of Amritsar.
6. This city is situated on ……… bank of ……….. Yamuna.
7. I met ……. old man yesterday.
8. Delhi is ……….. capital of India.
9. Gurdaspur is ………. district in the Punjab.
10. Giani Zail Singh was ……….. President of India.

Miscellaneous

1. Some, any
(i) दोनों मात्रा और संख्या का ज्ञान कराते हैं। some का प्रयोग positive (सकारात्मक) तथा any का प्रयोग Negative (नकारात्मक) वाक्यों में होता है; जैसे,
I have some money.
They have some books.
He did not lend me any book.
They did not buy any book.

(ii) प्रश्नवाचक वाक्यों में some और any दोनों ही प्रयोग हो सकते हैं; जैसे,
Will you give me any money ?
Will you give me some money ?

2. Much, many
much मात्रा तथा many संख्या के लिए प्रयोग किया जाता है; जैसे,
I have many books.
I have much money.

3. Each, everyone
Each दो या अधिक व्यक्तियों या चीजों के लिए प्रयोग होता है; परन्तु वर्णित व्यक्तियों या चीजों की संख्या निश्चित होती है; जैसे,
Each player was given a prize.
There were two books in the picture. Each book had a red cover.
Every का प्रयोग दो से अधिक व्यक्तियों या चीज़ों के लिए उस समय किया जाता है जबकि व्यक्तियों या चीजों की संख्या निश्चित नहीं होती है; जैसे,
Every man and every boy should do his duty.

4. Little, a little, the little
(i) Little का अर्थ है ‘न’ के बराबर; जैसे,
Mohan is a fool and has little sense.

(ii) A little का अर्थ है ‘कुछ’; जैसे,
I am in need of a little water.

(iii) The little का अर्थ है ‘अधिक तो नहीं, परन्तु वह (थोड़ा) सारे का सारा’, जैसे,
I have spent the little money that I had.

5. Few, a few, the few.
(i) Few का अर्थ ‘कोई नहीं’ अथवा कठिनता से कोई; जैसे,
Few persons can keep a secret.

(ii) A few का अर्थ है ‘बहुत थोड़े’; जैसे,
A few persons were present at the magic show.

(iii) The few का अर्थ है ‘बहुत तो नहीं, परन्तु वे (कुछ) सभी’, जैसे,
I bought the few books that I needed.

Use of Some Other Determiners

1. He has enough money in the bank.
2. Every man wishes to be happy.
3. I have never seen such persons.
4. I want to help that man.
5. He met several people on the way.
6. He lives in his own house.
7. Those girls were absent from the class.
8. Ram has less money than I have.
9. She lives next door to me.
10. Don’t show it to other people.
11. There are certain people who can work day and night.
12. Both men were sent to prison.
13. They have plenty of money.
14. A lot of people came to see the match.
15. Most of the boys were absent yesterday.
16. You can select either book.
17. What is the latest news of the war ?
18. Mumbai is farther than Delhi.
19. I have no further information.
20. This is the last lesson of the book.

Exercises

I. Fill up the blanks with the Articles (a, an, the):

1. He can read ………. Vedas.
2. She is ………. intelligent girl.
3. ………. sun shines brightly.
4. Life is not ………. bed of roses.
5. …….. higher you climb …….. colder it gets.
6. In ………. park I saw ……… one-eyed beggar.
7. Mumbai is ………. Manchester of India.
8. ………. Sikhs are a brave nation.
9. ……… Owl cannot see during day time.
10. He became ……… doctor.
11. Mangoes are sold by ………. kilo.
12. Everest is ………. highest mountain in ………. world.
13. I caught him by ………. ear.
14. Do not make ………. noise.
15. The more, ………. merrier.
16. He is ………. one-eyed person.
17. …….. Ganges is ……… sacred river.
18. We started late in ………. afternoon.
19. ………. rose smells sweet.
20. He reads ………… Bible everyday.
21. Kalidas was ………… Shakespeare of India.
22. Einstein was ………. Newton.
23. …….. camel is ………… ship of ………. desert.
24. Can ………. leopard change its spots ?
25. ………. lotus is a lovely flower.
26. ……… rich must help ……….. poor.
27. ……… more you speak, ……….. less I understand.
28. Tagore was ………… truly great poet.
29. ………. more they get, ……… more they want.
30. This is ………. historic occasion.
31. ……………… black and white cow is grazing in the field.
32. He is ………… real Mahatma.
33. I read ………… Tribune daily.
34. I am in ………… hurry.
35. Help ………. poor.
36. Both ………. robbers were arrested.
37. Keep to ………. left.
38. ……… housemaid pulls up ………. blind.
39. What ………. lovely girl !
40. What ………. ripe apple !
41. Not ………. word was said.
42. Help ……… poor, ………. needy and ………. miserable.
43. Who is ………. cleverer of ………. two cheats ?
44. He is ………. better mechanic than clerk.
45. Read ………. third and ……. fourth chapters.
Hints:
1. the
2. an
3. The
4. a
5. The, the
6. the, a
7. the
8. The
9. An
10. a
11. the
12. the, the
13. the
14. a
15. the
16. a
17. The, a
18. the
19. The
20. the
21. the
22 the
23. The, the, the
24. a
25. The
26. The, the
27. The, the
28. a
29. The, the
30. a
31. A
32. a
33. the
34. a.
35. the
36. the
37. the
38. The, the
39. a
40. a
41. a
42. the, the, the
43. the, the
44. a
45. the, the.

II. Correct the following sentences:

1. Only few men are honest.
2. The man is mortal.
3. He acted like man.
4. Beas flows in Punjab.
5. You are in wrong but he is in right.
6. He is by far ablest boy.
7. Nobody likes a person with bad temper.
8. The iron is useful metal.
9. Not word was said.
10. He has too high a opinion of you.
11. Learn this poem by the heart.
12. Never tell lie.
Answer:
1. Only a few men are honest.
2. Man is mortal.
3. He acted like a man.
4. The Beas flows in the Punjab.
5. You are in the wrong but he is in the right.
6. He is by far the ablest boy.
7. Nobody likes a person with a bad temper.
8. Iron is a useful metal.
9. Not a word was said.
10. He has too high an opinion of you.
11. Learn this poem by heart.
12. Never tell a lie.

III. Fill in the blanks with suitable determiners:

1. I went to ………. window which commanded a large green garden.
2. I have heard so ………. about your school.
3. Look out of the window for ……… minute.
4. It is really something of ……… joke.
5. There you have …….. essential part of our system.
6. I asked her by way of ………. opening.
7. But I had ……. idea of all this.
8. Come down into …….. garden.
9. Having ………. arm tied up is troublesome.
10. It educates both ……… blind and the helpers.
Hints:
1. the
2. much
3. a
4. a
5. an
6. an
7. an
8. the
9. an
10. the.

IV. Fill in the blanks with suitable determiners:

1. We should look into ………. depth of the problem.
2. It was ………. daring idea.
3. He took the saliva from the jaws of ………. mad bulldog.
4. This is ………. good home for him.
5. ………. people had been bitten by the mad wolf.
6. He held one finger over ………. top of the tube.
7. Besides them stood Pasteur, holding a narrow tube in …….. hand.
8. They took samples from ………. brain of a dog that had died.
9. ………. little knowledge is ………. dangerous thing.
10. Your old place in ………. laboratory is waiting for you.
Hints:
1. the
2. a
3. a
4. a
5. Some
6. the
7. his
8. the
9. A, a
10. the.

V. Fill in the blanks with suitable determiners:

1. He turned to look at ………. parents.
2. ……… old banyan tree outstretched its powerful arms over other trees.
3. I want ……… pen.
4. His parents would refuse to buy him ………. flowers.
5. He was carried away by……….. rainbow glory of their colours.
6. At ………. distance, he could see men and women talking.
7. I saw ………. curious look in ………. eyes.
8. I want ………. garland.
9. I borrowed ……… books from him.
10. Is there ………. milk in the pot ?
Hints:
1. his
2. An
3. a
4. any
5. the
6. a
7. a, his
8. a
9. these
10. any.

VI. (a) Insert the determiners ‘this, that, these, those in the blanks:

1. ………. shirt is costly but …….. shirt is cheap.
2. Would you like to take ………. book or ………. one ?
3. ………. sum cannot be solved by ……. silly boys.
4. ………. flowers are beautiful but ………. flowers are ordinary ones.
5. He likes this pair of trousers but he does not like ………. One.
Hints:
1. This, that
2. this, that
3. This, those
4. These, those
5. that.

(b) Insert ‘a few’ or ‘the few’ whichever is suitable:

1. ………. books she had were all lost.
2. It is a question of spending ………. rupees.
3. ………. suggestions she gave were all carried out.
4. ……… hints on essay-writing are quite to the point.
5. …….. boys attended the class.
Hints:
1. The few
2. a few
3. The few
4. A few
5. A few

(c) Insert ‘little’, ‘a little’, or ‘the little whichever is suitable:

1. ……… knowledge is a dangerous thing.
2. There is ………. hope of his recovery.
3. He has ………. money with him.
4. ………. strength he had in him proved useless.
5. He takes ……… interest in me.
Hints:
1. A little
2. little
3. a little
4. The little
5. little.

(d) Fill in the blanks with determiners ‘each, every, either or neither:

1. ……… pen costs ten rupees.
2. He comes here on ………. Sunday.
3. ………. of you may take this book.
4. ………. man wants to rise in the world.
5. ……… seat in the hall was occupied.
Hints:
1. Each
2. every
3. Either
4. Every
5. Every.

(e) Fill in the blanks with determiners ‘much, many, some, any’:

1. Will you please give me ………. Water ?
2. There is ………. sugar in the pot.
3. Is there ………. elderly person in the house ?
4. He did not make ………. mistakes in the essay.
5. She hasn’t ……… money.
Hints:
1. some
2. much
3, any
4. any
5. any.

(f) Fill in the blanks with ‘farther, further, latter, latest, last’:

1. What is the ………. information?
2. The man in the ………. row was my uncle.
3. The old man could not go ………. without a rest.
4. The college will be closed until ………. notice.
5. Of the two, the majority accepted the ………. proposal.
Hints:
1. latest
2. last
3. farther
4. further
5. latter.

Exercises For Practice

Fill in the blanks with determiners:

1. (i) He is ………. One-eyed man.
(ii) ……….. higher you go, ……….. cooler it is.

2. (i) I want ……….. more sugar in the tea.
(ii) This is ……… boy who stood first in the class.

3. (i) How ……….. feet make one yard ?
(ii) A ……….. knowledge is a dangerous thing.

4. (i) There is ……….. slip between ………….. cup and……..lip.
(ii) How ……….. milk do you buy daily ?

5. (i) He is every inch ……….. honest man.
(ii) ……….. umbrella you brought was ……… imported one.

6. (i) Is this ……….. dog which had bitten you ?
(ii) This book contains ……….. pictures.

7. (i) There is ……….. salt, but there is not ………. chillies.
(ii) How ……….. water is there in the jug?

8. (i) He was late for school by ……… hour and …….. half.
(ii) He is ……… university professor.

9. (i) ……….. trees fell down during cyclone.
(ii) One goes to ……….. theatre to have entertainment.

10. (i) ……….. boy you met just now is my cousin.
(ii) How ………. sugar do you consume in a month ?

11. (i) ………. book was purchased by me.
(ii) Does he need ……….. kind of assistance ?

12. (i) He did not make ……….. provi’ ion for his future.
(ii) How ……….. boys failed in th: examination ?

13. (i) This is ……….. last time that i have taken meat.
(ii) Do you have ……….. book to spare ?

14. (i) Would you lend me ………. money ?
(ii) He spent ……….. little money he had.

15. (i) How ………. boys are there in the class ?
(ii) How ………. milk is there in the pot ?

16. (i) I saw …………. Sri Harmandar Sahib
(ii) Sohan is ……………… honest man.

17. (i) Do not make …………… noise.
(ii) New Delhi is ……………… capital of India.

18. (i) ……………… rich are not always happy.
(ii) He is ………….. idiot.

19. (i) Do not make ……….. noise.
(ii) She is ………… intelligent girl.

20. (i) He can read …………. Vedas.
(ii) It was ………… daring idea.

21. (i) I am in ……………. hurry.
(ii) ……………… rose smells sweet.

22. (i) Look out of the window for ………. minute.
(ii) Your old place in ………………. laboratory is waiting for you.

23. (i) I have heard so ……………… about your school.
(ii) He takes …………….. interest in me.

24. (i) Is there …………… milk in the pot ?
(ii) ……………… seat in the hall was occupied.

25. (i) She is ………….. intelligent girl.
(ii) Do not make …………. noise.

26. (i) He is ………… one-eyed man.
(ii) He lost ……….. books he had.

Punjab State Board PSEB 7th Class English Book Solutions English Reading Comprehension Conversation / Dialogue Based Exercise Questions and Answers, Notes.

PSEB 7th Class English Reading Comprehension Conversation / Dialogue Based

Read the following conversation carefully and answer the questions that follow:

1. Akbar : Birbal make me a painting. Use your imagination in it.
Birbal : I am not an artist, how can I paint ?
Akbar : If I don’t get a good painting, you shall be punished.
Birbal : (Next day) I am here with the painting.
Akbar : I am happy to see that you obeyed me. Please show me the painting.
Birbal : Huzoor, have a look. I am opening the covered frame.
Akbar : This painting is nothing but only ground and sky. There is a little grass on the ground. What is this?
Birbal : A cow eating grass, Huzoor!
Akbar : Where is the cow and grass ?
Birbal : I used my imagination. The cow ate the grass and returned to its shed.

Question 1.
The given conversation is between ……………
(a) Birbal and Begum
(b) Birbal and his Son
(c) Akbar and his Son
(d) Akbar and Birbal.
Answer:
(d) Akbar and Birbal.

Question 2.
What did Akbar want Birbal to make for him?
(a) a cake
(b) a painting
(c) a dish
(d) all of the above.
Answer:
(b) a painting.

Question 3.
Who ate the grass ?
(a) cow
(b) cat
(c) camel
(d) goat.
Answer:
(a) cow.

Question 4.
What was in the painting ?
(a) ground and sky
(b) boy and sky
(c) girl and kite
(d) cat and dog.
Answer:
(a) ground and sky.

Question 5.
Birbal carried a ……………. with him.
(a) covered glass
(b) covered frame
(c) covered bowl
(d) covered box.
Answer:
(b) covered frame.

2. Sadab : Good afternoon.
Ritu : Good afternoon.
Sadab : So, where are you going now?
Ritu : I am going to meet my friend Garima in Kolkata Market.
Sadab : Oh, so nice, I have to buy a new school uniform.
Ritu : Will you accompany me ?
Sadab : Yes, it will be great fun for me.
Ritu : So, can we move now so that we can reach on time.
Sadab : Sure.

Question 1.
This conversation is between ………..
(a) Sadab and Garima
(b) Ritu and Garima
(c) Ritu and Sadab
(d) Garima and Kolkata Market.
Answer:
(c) Ritu and Sadab.

Question 2.
Where is Ritu going ?
(a) to meet her sister Garima
(b) to meet her friend Garima
(c) to meet her teacher
(d) to buy a school uniform.
Answer:
(b) to meet her friend Garima.

Question 3.
Garima will be found ……………
(a) in Kolkata market
(b) in Bombay market
(c) in Kolkata street
(d) in Sadab market.
Answer:
(a) in Kolkata market.

Question 4.
What does Sadab want to buy ?
(a) some new books
(b) a new mobile phone
(c) a new school uniform
(d) new shoes.
Answer:
(c) a new school uniform.

Question 5.
What was the time of conversation ?
(a) early morning
(b) afternoon
(c) late evening
(d) night.
Answer:
(b) afternoon.

3. Headman Ant asked, “What happened ? Why are you running ?” Rabbit said, “We’re running for our lives. I heard the news of Tsunami, very high sea waves.”

Headman Ant asked everyone to stay calm and explained that they were just testing the warning system. It didn’t happen for real. Let us all be prepared to deal with disasters.

Next day at the village meeting, everyone gave their ideas.

Elephant : “We should always follow news carefully.”
Butterfly : “I have already put my valuable things away in a safe place.”
Rats : “I have prepared survival bag which will always be close to me. I have kept a bottle of water, medicines, dried food, some beans, the radio for news and a family photo.”
Mother Frog : “My kids will not go out to play by themselves in hazardous places.”
Mother Goat : “We must run to higher grounds or to the safe areas. I shall make a map of the village.
Headman Ant : “Why didn’t you run like asked Grandpa others ?
OX : ……..
Grandpa OX : “We are too old. We don’t want to be a burden to anyone.”
Headman Ant : (said politely) “No one is a burden. What would your grandchildren do without you ??

Question 1.
Rabbit was running for life because he had heard the news of ……………
(a) Earthquake
(b) Tsunami
(c) Flash flood
(d) Land slide.
Answer:
(b) Tsunami.

Question 2.
What did the Headman Ant tell the animals about the news ?
(a) It was real
(b) It was to create panic only
(c) It was not real
(d) It was to entertain the old people.
Answer:
(c) It was not real.

Question 3.
Who is most careful about news ?
(a) Grandpa Ox
(6) Rabbit
(c) Elephant
(d) Frog.
Answer:
(c) Elephant.

Question 4.
Which one of the following is not true according to the conversation ?
(a) The elephant was not present at the meeting
(6) Grandpa Ox does not want to be a burden to anyone
(c) Mother Goat wants to run to the higher places
(d) Rats have prepared survival bags.
Answer:
(a) The elephant was not present at the meeting.

Question 5.
Tsunami is a ……………..
(a) safe place from high sea wave
(b) very high sea wave
(c) cool breeze coming from sea
(d) dry wind blowing towards sea.
Answer:
(b) very high sea wave.

4. Ali : Hello ! I’m Ali. What’s your name?
Ravi : Hello ! My name’s Ravi. I’m ten years old.
Ali . : I’m ten, too. Do you play cricket ?
Ravi : Not very well. I’m fond of football.
Ali : Oh, good ! Will you help me with my homework?
Ravi : Of course, I will. Come to me during the break.
Ali : Thanks. I’ll help you play cricket.
Ravi : That will be great. Thank you !
Ali : : Where do you live ?
Ravi : I live near the school and Ali, where do you live?
Ali : I live in the school hostel.

Question 1.
What is common between Ali and Ravi ?
(a) both are ten years old
(b) both play cricket very well
(c) both live in the school hostel
(d) both are fond of playing football.
Answer:
(a) both are ten years old.

Question 2.
Where does Ali live ?
(a) near the school
(b) in the school hostel
(c) near the football club
(d) near the cricket club.
Answer:
(b) in the school hostel.

Question 3.
Ali will help Ravi ……………
(a) play football
(b) do his homework
(c) play cricket
(d) all the above.
Answer:
(c) play cricket.

Question 4.
Ravi will help Ali ………
(a) play cricket
(b) play football
(c) do his homework
(d) none of these.
Answer:
(c) do his homework.

Question 5.
When will Ravi help Ali with his homework?
(a) after playing cricket
(b) after playing football
(c) when the school starts
(d) during the break.
Answer:
(d) during the break.

5. Ravi : Do you know what time it is now, please ?
Aman : No, I’m really very sorry, I don’t have a watch.
Rama : Could you tell me the time, please ?
Radha : It’s about eleven-thirty.
Rama : Thanks a lot.
Radha : At what time do you come to school ?
Rama : At 8:30 in the morning.
Radha : At what time does the school get over ?
Rama : At 3 o’clock in the afternoon.
Ajay : What time is the next bus, please ?
Anil : It leaves at 5:30 p.m.
Ajay : Is there any bus after 10 p.m. ?
Anil : The last bus leaves at 10:30 p.m.
Ajay : Thanks a lot for the information.

Question 1.
The main point in this conversation is …………… .
(a) bus
(b) time
(c) watch
(d) school.
Answer:
(b) time.

Question 2.
Aman is unable to tell Ravi time because …………….
(a) he is in a hurry
(b) he is very sorry
(c) he has no watch
(d) he has no clock.
Answer:
(c) he has no watch.

Question 3.
When does Rama go to school ?
(a) at 8:30
(b) at 3 o’clock
(c) at 11:30
(d) at 10 o’clock.
Answer:
(a) at 8:30.

Question 4.
What does Ajay want to know ?
(a) times about school
(b) times about buses
(c) time by Aman’s watch
(d) none of these.
Answer:
(b) times about buses.

Question 5.
Who tells Ajay time for last bus ?
(a) Rama
(b) Anil
(c) Radha
(d) Aman.
Ans.
(b) Anil.

6. Raj : Could you help me, please ?
Shopkeeper : Certainly.
Raj : Thank you.
Shopkeeper : What can I get you ?
Raj : A black shoe polish.
Rani : Excuse me please, where are the pens ?
Shopkeeper : They are in the second row. Let me help you.
Rani : How much do the two pens cost ?
Shopkeeper : The price is written on them. They cost Rs. 10 each.
Rani : Thank you.

Question 1.
Whose help does Raj ask for ?
(a) Rani’s
(b) shopkeeper’s
(c) nobody’s
(d) his own.
Answer:
(b) shopkeeper’s.

Question 2.
Raj wants to buy a ……………..
(a) brown shoe polish
(b) black shoe polish
(c) some pens and a polish
(d) none of these.
Answer:
(b) black shoe polish.

Question 3.
The pens are lying
(a) in a box
(b) in the first row
(c) in the second row
(d) on the upmost shelf.
Answer:
(c) in the second row.

Question 4.
How many pens does Rani want to buy ?
(a) two
(b) three
(c) one.
(d) four.
Answer:
(a) two.

Question 5.
How much do the two pens cost ?
(a) Rs. 20
(6) Rs. 10
(c) Rs. 30
(d) Rs. 15.
Answer:
(a) Rs. 20.

7. Aryan : Why are you wearing this funny dress, Praveen ?
Praveen : Aryan, what is funny about it?
Aryan : Look at your clothes ! They look so tight, and your shoes have wheels. And what’s that you have on your head ?
Praveen : (laughs) Oh, are you talking about this dress ? I’m going for my skating class and this is my helmet to save me from injuries.
Aryan : Skating ?
Praveen : Yes, skating. That’s why I’m wearing these roller skating shoes.
Aryan : Where are you going for your skating class ?
Praveen : I’m going to the ‘Roller Mall’. It has a skating rink.
Aryan : Could I come with you to see what you do there?
Praveen : Sure, come along. (They reach the skating rink.) Aryan (amazed) Oh, so many people moving on the wheels !
Praveen : They’re all skaters moving on roller skates.
Aryan : Look ! How they all are gliding on the floor. I wish I could do the same. Will you teach me how to skate ?
Praveen : Oh yes, whenever you are ready.
Aryan : Thanks.

Question 1.
Praveen’s dress looks funny to Aryan. Why?
(a) It is very tight.
(b) His shoes have wheels.
(c) There is a, helmet on his head.
(d) all these.
Answer:
(d) all these.

Question 2.
Praveen is going to …………
(a) his school to take part in a drama
(b) a park for a picnic
(c) perform a magic show
(d) his skating class.
Answer:
(d) his skating class.

Question 3.
A helmet saves us from …………
(a) foot injuries
(b) severe cold on ice
(c) head injuries
(d) all the above.
Answer:
(c) head injuries.

Question 4.
What does Aryan want to learn ?
(a) skating
(b) use of wheeled shoes
(c) using a helmet
(d) wearing a tight dress.
Answer:
(a) skating.

Question 5.
Who will teach Aryan how to skate ?
(a) skating teacher
(b) his elder brother
(c) Praveen
(d) class teacher.
Answer:
(c) Praveen.

Punjab State Board PSEB 7th Class English Book Solutions English Reading Comprehension Picture / Poster Based Exercise Questions and Answers, Notes.

PSEB 7th Class English Reading Comprehension Picture / Poster Based

Look at the picture carefully and answer the questions that follow:

Question 1.
What is the name of this object ?
(a) traffic police
(b) traffic light
(c) street light
(d) street hawker.
Answer:
(b) traffic light.

Question 2.
Where do we see (find) this object?
(a) in the hospital
(b) in the park
(c) on the roads
(d) in the drawing room.
Answer:
(c) on the roads.

Question 3.
This object is related to
(a) rules of road
(b) rules of school
(c) rules of home
(d) rules of hotel.
Answer:
(a) rules of road.

Question 4.
Which light says us to stop ?
(a) red
(b) green
(c) yellow
(d) white.
Answer:
(a) red.

Question 5.
Yellow light says us to …..
(a) stop
(b) go
(c) wait
(d) rest.
Answer:
(c) wait.

2.

Question 1.
What is this place?
(a) a public park
(b) a zoo
(c) a school ground
(d) a circus ground.
Answer:
(a) a public park.

Question 2.
Public parks are open to ……….
(a) men
(b) women
(c) children
(d) all these.
Answer:
(d) all these.

Question 3.
Elederly people go to the parks …………
(a) for a walk
(b) to sit and chat
(c) give exercise to their body
(d) all these.
Answer:
(d) all these.

Question 4.
Why do children like visiting a big park ?
(a) they can enjoy sliding, swinging etc.
(b) they can have a picnic
(c) they meet their friends, play, sing and dance
(d) all the above.
Answer:
(d) all the above.

Question 5.
In a park, we should ……………. .
(a) pluck flowers
(b) throw waste papers here and there
(c) run across the flower beds
(d) sit in the lawns peacefully.
Answer:
(d) sit in the lawns peacefully.

3.

Question 1.
What is this place ?
(a) a public park
(b) a zoo(c) a picnic spot
(d) a playground.
Answer:
(b) a zoo.

Question 2.
In a zoo we can see different kinds of ……….
(a) weapons
(b) plants
(c) coins
(d) animals.
Answer:
(d) animals.

Question 3.
In a zoo animals like lions and tigers are kept …………….
(a) in ponds
(b) in lawns
(c) in cages
(d) under trees.
Answer:
(c) in cages.

Question 4.
Monkeys and Kangaroos are allowed to move freely because ………
(a) they are dangerous
(b) they are not harmful
(c) they entertain people
(d) they eat grass.
Answer:
(b) they are not harmful.

Question 5.
A zoo looks like a ………..
(a) public park
(6) large playground
(c) mini forest
(d) a desert land.
Answer:
(c) mini forest.

4.

Question 1.
This is a
(a) small city
(b) big city
(c) small village
(d) none of these.
Answer:
(c) small village.

Question 2.
The villagers here live in …………
(a) huts
(b) boats
(c) big houses
(d) flats.
Answer:
(a) huts.

Question 3.
What is the potter doing ?
(a) baking pots
(b) making chalks
(c) making pots
(d) breaking pots.
Answer:
(c) making pots.

Question 4.
Two persons are carrying pots ……….
(a) in their hands
(b) in a cart
(c) on their heads
(d) in a bucket.
Answer:
(c) on their heads.

Question 5.
Nearby the village there …………… .
(a) flows a river
(b) is a market
(c) is a large well
(d) swimming pool.
Answer:
(a) flows a river.

5.

Question 1.
The most appealing title for this poster is …………
(a) help children in their work
(b) shed tears for children
(c) stop child labour
(d) child labour is a great blessing.
Answer:
(c) stop child labour.

Question 2.
Children must be sent to ……….
(a) schools
(b) factories
(c) tea stalls .
(d) rag picking job.
Answer:
(a) schools.

Question 3.
What is the main cause of child labour?
(a) cheap labour
(b) poverty
(c) unemployment
(d) all the above.
Answer:
(d) all the above.

Question 4.
Child labour is …………….
(a) a blessing
(b) a curse
(c) a boon
(d) none of these.
Answer:
(b) a curse.

Question 5.
Why should we not deny education to our children ?
(a) childhood is the best time to get education
(b) children are our future citizens
(c) they are too delicate to put to work
(d) all the above.
Answer:
(d) all the above.

6.

Question 1.
What is meant by global warming ?
(a) decreasing temperatures in winter
(b) heating the globe by big fires
(c) using hot water in agriculture and factories
(d) rising temperature of the atmosphere in the world.
Answer:
(d) rising temperature of the atmosphere in the world.

Question 2.
Global warming is the result of ……..
(a) using more and more fossil fuels
(b) using more and more solar energy
(c) using non-stop electrical energy
(d) using atomic energy for peaceful purposes.
Answer:
(a) using more and more fossil fuels.

Question 3.
Global warming is a serious problem because
(a) it can give birth to fatal diseases
(b) it can melt our glaciers
(c) it can result in the rise of sea-level
(d) all the above.
Answer:
(d) all the above.

Question 4.
What should we do to prevent global warming ?
(a) all trees should be cut down
(b) we should use fossil fuels only
(c) more and more trees should be planted
(d) none of these.
Answer:
(c) more and more trees should be planted.

Question 5.
Global warming is harmful for ……….
(a) mankind
(b) animal forests
(c) Forests
(d) all the above.
Answer:
(d) all the above.

Punjab State Board PSEB 7th Class English Book Solutions English Reading Comprehension Unseen Passages Exercise Questions and Answers, Notes.

PSEB 7th Class English Reading Comprehension Unseen Passages

Read the following passages and answer the questions given below each:

1. Two kittens got a large loaf of bread. They were very happy. But they could not divide it equally between themselves. They started fighting. Then they went to their mother cat to divide the loaf. The cat was clever. She divided the loaf into three pieces. She gave two pieces to each of them and kept one for the future. Both kittens enjoyed the bread happily and again started playing. After sometime they were again hungry and to their surprise their mother again gave them some bread which made them happier.

Question 1.
Why were the two kittens happy ?
(a) Because they got a bone.
(b) Because they got a toy.
(c) Because they got a mouse.
(d) Because they got a loaf.
Answer:
(d) Because they got a loaf.

Question 2.
Whose help did the kittens take to divide the loaf ?
(a) lion
(b) monkey
(c) dog
(d) mother cat.
Answer:
(d) mother cat.

Question 3.
The kittens started ………….. after eating bread.
(a) playing
(b) fighting
(c) singing
(d) eating
Answer:
(a) playing.

Question 4.
In how many pieces the cat divided the loaf ?
(a) two pieces
(b) four pieces
(c) three pieces
(d) five pieces.
Answer:
(c) three pieces.

Question 5.
How many pieces did the kittens eat ?
(a) one piece
(b) two pieces
(c) three pieces
(d) none.
Answer:
(b) two pieces.

2. A few days later, Prem Chand resigned his job of Inspector of Schools after having worked in the department for twenty years. He was a free man after all. Now, he could write novels and stories about his country and its people. In his books, he dealt with the lives of the peasants and workers. He revealed the greed and meanness of the money-lenders, landlords and priests. He attacked the social evils, like dowry and early marriage.

He held society responsible for the sins of women. The heroes of Prem Chand’s stories and novels fight against cruelty and injustice. Prem Chand valued love and tolerance, particularly Hindu-Muslim unity.

Question 1.
Before he started writing novels, Prem Chand was …………..
(a) a great writer
(b) a great social-reformer.
(c) Inspector of Schools
(d) a principal in a school.
Answer:
(c) Inspector of Schools.

Question 2.
What did Prem Chand value particularly ?
(a) Hindu-Muslim unity
(b) Love and tolerance
(c) Injustice and cruelty
(d) Dowry and early marriage.
Answer:
(a) Hindu-Muslim unity.

Question 3.
In his books, Prem Chand revealed the greed of ……………..
(a) Indian women
(b) peasants, workers and priests
(c) landlords, moneylenders and priests
(d) all the above.
Answer:
(c) landlords, moneylenders and priests.

Question 4.
Prem Chand’s novels and stories deal with …………
(a) the lives of peasants and workers
(6) curse of child labour
(c) problems of schools
(d) none of these.
Answer
(a) the lives of peasants and workers.

Question 5.
Who did Prem Chand hold responsible for the sins of women ?
(a) leaders
(b) society
(c) social reformers
(d) free men.
Answer:
(b) society.

3. Trees are useful to man in three very important ways they provide him with wood and other products, they give him shade and they help to prevent droughts and floods.

Unfortunately, in many parts of the world, man has not realized that the services of the trees are the most important. In his eagerness to draw quick profit from the trees, he has cut them down in large numbers, only to find that with them he has lost the best faced friend he had.

The people in the villages must be persuaded to stop cutting trees for fuel and for selling it to city people. Unless the Government has a good system of control or it can educate the people, the forests will slowly disappear.

Question 1.
What do trees help to prevent ?
(a) sun and shade
(b) cutting of trees for wood
(c) drought and floods
(d) heavy rains.
Answer:
(c) drought and floods.

Question 2.
Man has not realized that …………. .
(a) the services of the trees are most important
(b) the services of the trees are of no use
(c) the cutting of trees is most important
(d) all the above.
Answer:
(a) the services of the trees are most important.

Question 3.
Man has lost the best faced friend he had. Who is this ‘best friend’?
(a) people who cut trees
(b) the government
(c) trees
(d) man himself.
Answer:
(c) trees.

Question 4.
The villagers cut tree for ………….
(a) fuel
(b) selling it to the city people
(c) both (a) and (b)
(d) neither (a) nor (b).
Answer:
(c) both (a) and (b).

Question 5.
Trees give man ……………. .
(a) wood and other products.
(b) shade
(c) fuel
(d) all these.
Answer:
(d) all these.

4. Maharaja Ranjit Singh is very well known to all of us. He was very kind to all. He loved his people very much. He did not want them to be poor. He gave money and gold to the poor people. Thus he made them rich.

People believe that ‘Paras’ is a wonder stone. It turns iron into gold. In the same way poor people came to Maharaja Ranjit Singh and became rich. So they called him ‘Paras’.

One day he was riding a horse. He was passing through the streets of Lahore. All the people welcomed him. They were shouting, “Maharaja Ranjit Singh Ki Jai.” They showered flowers on him. They were very happy to see their generous king.

Question 1.
What kind of king was Maharaja Ranjit Singh ?
(a) cruel
(b) dishonest
(c) kind and generous
(d) proud.
Answer:
(c) kind and generous.

Question 2.
Maharaja Ranjit Singh made his people rich because
(a) he loved his people very much
(b) he did not want them to be poor
(c) he was very kind to all
(d) all the above.
Answer:
(d) all the above.

Question 3.
Why is ‘paras’ called a wonder stone?
(a) because it is very shining
(b) because Maharaja had it
(c) because it turns iron into gold
(d) because it can turn everything into gold.
Answer:
(c) because it turns iron into gold.

Question 4.
One day Maharaja was passing through the streets of …………
(a) Lahore
(b) Amritsar
(c) Multan
(d) Patna Sahib.
Answer:
(a) Lahore.

Question 5.
People welcomed their generous king by …………… .
(a) showering holy water on him
(b) giving him precious gifts
(c) showering flowers on him
(d) by turning iron into gold.
Answer:
(c) showering flowers on him.

5. Mithu was a milkman. He had a number of cows. He milked them every morning and every evening and sold the milk. But he did not sell pure milk. He was a dishonest man and he always added a lot of water to his milk.

One day, Mithu took a bag of money and started for the weekly fair. He wanted to buy a cow. The fair was in a village a few kilometres away.

Question 1.
What did Mitu have ?
(a) a number of sheep
(b) a small and a big cow
(c) sheep and goats
(d) a number of cows.
Answer:
(d) a number of cows.

Question 2.
Mithu was ……………. .
(a) an honest man
(b) a dishonest man
(c) a good man
(d) none of these.
Answer:
(b) a dishonest man.

Question 3.
Mithu never sold …………
(a) pure milk
(b) impure milk
(c) cow milk
(d) water added milk.
Answer:
(a) pure milk.

Question 4.
Where did Mithu go to buy a cow ?
(a) in a city
(b) in a weekly fair
(c) in a monthly fair
(d) to a farmer in his village.
Answer:
(b) in a weekly fair.

Question 5.
Where was the fair held ?
(a) in a city
(b) in a ground
(c) in a village
(d) near the canal.
Answer:
(c) in a village.

6. The blind beggar gave the violin to him. The gentleman stood by his side and began playing. People began gathering round him. In a short time the crowd became very large. The music was very sweet and no one among them moved away. After some time the man stopped playing. All the people dropped coins into the beggar’s cap. It became very heavy. The dog was not able to hold it and dropped it. The coins fell on the road. The blind beggar gathered all the coins and the gentleman helped him. The beggar now had a lot of money and was very happy.

Question 1.
The beggar was ………..
(a) old and weak
(b) young and healthy
(c) deaf and dumb
(d) blind.
Answer:
(d) blind.

Question 2.
Who played on violin for the beggar ?
(a) some people
(b) a gentleman
(c) his companion
none of these.
Answer:
(b) a gentleman.

Question 3.
Why did no one move away ?
(a) because the music was very sweet
(b) because the crowd was very large
(c) because the road was filled with coins
(d) all the above.
Answer:
(a) because the music was very sweet.

Question 4.
The beggar’s dog dropped the cap because ………..
(a) it was old and torn
(b) it became very heavy
(c) he did not like its colour
(d) the musician had stopped playing.
Answer:
(b) it became very heavy.

Question 5.
The coins in the cap fell ………….
(a) in the street
(b) into the lake
(c) on the road
(d) on the violin.
Answer:
(c) on the road.

7. One day there was a magic show in the big hall in Mohan’s school. All the pupils of the school and all the teachers were there. The hall was full. The boys and the girls were sitting on the floor in rows. The smaller boys and the girls sat in the front rows and the bigger boys in the back rows. The headmaster and the teachers sat in chairs behind the boys.

The magician, Mr. Parshuram, stood on a platform. He wore a black coat and a tall black hat. He had a wand in one hand and a handkerchief in the other. There was a big table in front of him.

Question 1.
Where was the magic show held?
(a) in the playground in Mohan’s school
(b) in the big hall in Mr. Parshuram’s school
(c) in the big hall in Mohan’s school
(d) in the staff room in Mohan’s school.
Answer:
(c) in the big hall in Mohan’s school.

Question 2.
Who was Mr. Parshuram?
(a) headmaster
(6) headboy
(c) a teacher
(d) a magician.
Answer:
(d) a magician.

Question 3.
Who sat in the front rows ?
(a) smaller boys and girls
(b) bigger boys and girls
(c) The headmaster and the teachers
(d) Mr. Parshuram.
Answer:
(a) smaller boys and girls.

Question 4.
Which one of the following things do not belong to Mr. Parshuram ?
(a) wand
(b) black coat
(c) white hat
(d) handkerchief.
Answer:
(c) white hat.

Question 5.
Where did Mr. Parshuram stand?
(a) on a table
(b) on a platform
(c) in the front row
(d) behind the boys.
Answer:
(b) on a platform.

8. Once there was a rogue. He was always playing tricks on the people. He was giving them a lot of trouble and so they asked the king to punish him. The king ordered his soldiers to bring the rogue before him.

The rogue was brought before the king. He said to the rogue, “You must do three tasks or you will be punished.” The rogue asked the king what the three tasks were.

Question 1.
What was the rogue doing to the people ?
(a) playing games with them
(b) playing tricks on them
(c) helping them in trouble
(d) stealing their money.
Answer:
(b) playing tricks on them.

Question 2.
What did the king order his soldiers to do ?
(a) to bring the rogue before him
(b) to punish the rogue
(c) to keep a watch on the rogue
(d) to bring the rogue before the poeple.
Answer:
(a) to bring the rogue before him.

Question 3.
The rogue was brought before …………
(a) the people
(b) the judge
(c) the king
(d) the soldiers.
Answer:
(c) the king.

Question 4.
The rogue was asked to do ……..
(a) two tasks
(b) one task
(c) four tasks
(d) three tasks.
Answer:
(d) three tasks.

Question 5.
The rogue was giving a lot of trouble to ………… .
(a) the soldiers
(b) the king
(c) the people
(d) all the above.
Answer:
(c) the people.

Punjab State Board PSEB 7th Class English Book Solutions English Creative Writing Exercise Questions and Answers, Notes.

PSEB 7th Class English Creative Writing

A – Picture Composition

1.

This is a railway platform. It is very busy. A train has just arrived. There is a great rush at the platform. Some passengers have got down the train. The other are ready to board it. They are carrying their luggage. Some passengers have got their seats reserved. Two ticket checkers are helping them to find their seats (berths). Soon guard will blow a whistle. The train will leave the station.

2.

It is fun-making time. Some students are making merry. They are dancing to the tune of music. Their teacher is also present. He is there to help them. A little girl has some problem with another student. The teacher is trying to solve her problem. A girl with curly hair does not seem to be interested in dancing. She is thinking to do something different. However, most of the students are in a happy mood. They are dancing and singing happily and joyfully.

3.

This is a fair. It presents a lovely look with different things to watch. There is a huge fairywheel. It takes the children up and down. There is a game for children called free-fall. Many stalls have been put up. They are selling different things. A man is selling flowers. Another man is selling toy-cars. One can also buy clothes at this fair.

4.

This is a book shop. It is very big. It has hundreds of books. The books are arranged in shelves. Some books are small in size but some are big and fat. The shop has a long platform in front of it. A girl and a boy are standing on it. They have come to buy some books. The girl is showing everything to boy. We can also see an electric shop in the picture. It is on one side of the book shop.

5.

This is a lovely forest. There are many tall trees in it. A crow is sitting on a tree. He has a piece of cheese in its beak. There is a fox under the tree. It wants to get that piece. It will flatter the crow to sing. When the crow opens its beak. The piece of cheese will fall down. The fox will take it away to eat.

6.

This is a shopping mall. There are many people in the market. A child with his parents is demanding an ice cream. Father is paying no attention to take an ice cream. An other child has two ice creams in his hands. The ice cream stall is very beautiful. A boy is eating some fruit and looking at the family. In his other hand, he has something. It looks like a ball. It may be an apple. A boy with a girl is going to a shop. A man is walking after him.

7.

This is a bus-stand. A girl is going with her parents. They are waiting for the bus. The boy is drinking water. The girl is sitting on the trunk. She is eating an ice-cream. An old woman is trying to get into a bus. A boy is standing with her. A bag is lying on the footpath. The parents are watching the bus. The road is neat and clean. The box looks very heavy.

8.

It is a rainy weather. The sky is overcaste with dark clouds. It is raining heavily. Rain is falling like a current of water. Children are enjoy the falling rain. A boy with his sister is standing under an umbrella. They are watching the scene. There is a tree behind them boy stepped into a pool of water. A man under an umbrella is giving him some warning. Everything is wet and looks fresh.

B- Guided Composition

1. A Day in Bed

Hints : Being in bed ……… last Monday ………… after the summer vacation ………… running temperature ……….. got worried ……….. he gave me ………… went to school ………… were very bitter ……….. found it.

Being in bed is a sad experience. I had such an experience last Monday. It was the first day of school after the summer vacation. In the morning I tried to get up. But I was running temperature and my body was aching. So I had to remain in the bed. My parents got worried. They called in a doctor. He gave me medicine and advised me complete rest. The tablets he gave me were very bitter. Soon my parents left for work and my brother went to school. So I was left alone in the house. I tried to kill my time by playing cards by myself. But I found it difficult to sit up for long. I was helpless and lay down in the bed again. Soon I went to sleep and opened my eyes late in the evening. What a boring and painful day!

Word-Meanings : Aching- दर्द कर रही थी। Bitter- कड़वी। Helpless- लाचार। Painful- कष्टदायक।

2. A Day Without Mother

Hints : God is great …………… look after in …………… Mother is an idol ………. very much ………… I cannot ………….. becomes a burden for me ………… the day when ………….. last Sunday ………. The house looked …………… butter for breakfast …………. never part me from my mother.

God is great and merciful. He has sent mothers on earth to look after us. Mother is an idol of self-sacrifice. The showers her love and affection on us. So I love my mother very much. I cannot live without her. The day when she is not with me becomes a burden for me. Last Sunday she went to meet her sister early in the morning. The house looked deserted without her. My father gave me bread and butter for breakfast. I ate it half heartedly. I could not enjoy my lunch also. I failed to do my homework properly. With a sad heart I went to play in the garden. Suddenly I sprained my ankle. I was a severe pain. But without my mother I forgot to cry. In the evening my mother returned and kissed me. I was in tears to meet her. May God never part me from my mother!

Word-Meanings : Merciful- दया से भरपूर, Deserted- सुनसान, Sprain- मोच

3. A School Picnic

Hints : 1. Beautiful public park ………… fine yesterday ………… park for picnic ……….. We got ……………. a few things ………… in our beings …………by a school bus …………. enjoyed cold drinks ………. good time in the park.

There is a beautiful public park in our town. Many people go there for a picnic. It was a fine day yesterday. The students of our class went to the park for a picnic. We got ready at eight o’clock. We went to the bazaar and bought a few things. We packed them in boxes. We kept the fruit in our bags. We went to the park by school bus. There we sat in the shade of trees. We felt hungry after a while. We ate cakes and biscuits. We also ate fruit and enjoyed cold drinks. We sang and danced until we were tired. We had a good time in the park.

Word-Meanings : Public park- सार्वजनिक पार्क, After a while- थोड़ी देर बाद

4. A Visit To a Fair

Hints : 1. Baisakhi fair ………. of a canal ……… at six in the morning …….. in then best ………… the bangle-shops …………. buying toys ………….. gathered round him ………… happy time at the fair.

I went to see the Baisakhi fair last Sunday. It was held on the bank of a canal. We were five friends. We reached the canal at six in the morning. There was a great rush. People were dressed in their best. Many shops had been set up. The ladies were standing at the bangle-shops. They were buying bangles. The children were buying toys. Bhangra parties were singing folk songs. A juggler was showing his feats. Many people had gathered round him. Some children were enjoying rides in the merry-go-rounds. We had a very happy time at the fair.

Word-Meanings : Bank-किनारा। Bangles-चूड़ियां। Juggler-मदारी। Feats-कारनामे।

5. Helping Mother at Home

Hints : My father ………….. engage a servent. ………… domestic work ………. after her bath. ………. from the dairy……….. help my mother ……… dust the furniture ……….. at 3.30 p.m. after dinner ……….. me great pleasure.

My father is a clerk. His salary is small. So we cannot afford to engage a servant. We ourselves do our domestic work. My mother gets up very early. After her bath, she gets busy in preparing breakfast for the family. My brother fetches milk from the dairy. I also help my mother. I sweep the rooms and dust the furniture. Then I have my breakfast and leave for school. I come back at 3.30 p.m. After doing my home-work, I help my mother in the kitchen. After dinner, I clean the utensils and go to bed. Helping my mother in her work gives me great pleasure.

Word-Meanings : Afford-समार्थ्य होना। Engage-रखना। Domestic-घर का। Fetch-ले आना।

6. Mahatma Gandhi

Hints : Mahatma Gandhi ……….. Bapuji …….. leader ………. 2nd October 1869 ……. pious lady ………… matriculation ……………….. a barrister ………….. . South Africa ……….. back to India …………. jail many times …………… free in 1947 ……… for the poor …………. January 30, 1948 …….. father of the nation.

Mahatma Gandhi is called Bapuji. He was a great leader. He was born on 2nd October, 1869. His mother was a pious lady. His father was the Diwan of a State. He passed his matriculation. He went to England. There he passed law. He became a barrister. He came back to India. Soon he went to South Africa. There he worked for the good of the Indians. Then he came back to India. He fought for our freedom. He went to jail many times. At last he won the battle. India became free in 1947. He loved truth. He did a lot for the poor. He worked for Hindu-Muslim unity. He died on January 30, 1948. We can never forget his services. He is the father of the nation.

Word-Meanings : Barrister- वकील, Unity- एकता

7. How I Saved a Boy from Drowning

Hints : ………. went for boating ………. river ……….. boys bathing………..the others boating……… My friend, Rajan and I hired ……. did boating for ……… Suddenly ………… heard a cry …….. boated towards the place ……….. a boy drowning ………. could see………. his hands for help. I jumped ………… and swam ………… I caught ………… leg and pulled. Then I swam ………… to the bank ………… Luckily, ……….. a doctor. He gave him first-aid ………… After a while the boy ………. We ………… to his home. He told ………… to his parents. They ……….. happy ….. served. ………. tea ………. drank ……….. and reached ………. .

It was Sunday. My friend Rajan and I went for boating. Many boys were bathing in the river. Many others were boating. We also hired a small boat. We did boating for some time. Suddenly, we heard a cry. We boated towards that place. A boy was drowning. We could see his hands for help. I jumped into the water. I swam to the boy. I caught him by the leg and pulled him. I swam with him to the bank. Luckily, a doctor came there. He gave him first-aid. After a while the boy came to his senses. We took him to his home. He told the story to his parents. They were happy to see their son. They served us with tea. We went home happily.

Word-Meanings : Hired- किशए पर ली, First-aid- प्राथमिक उपचार, Came to his senses- होश में आया, Blessed – आशीर्वाद दिया

8. A Street Quarrel

Hints : A common sight………..last night………..studying in my room………..loud noise in the street………..two persons……….hot words exchanged………..blows………..both injured………..had started over a trifle……….pacified by people………..boys playing………..a ball struck another……….. parents joined……….. should be avoided.

A street quarrel is a common sight. Mostly, an ordinary quarrel of children takes an ugly shape. Last night I happened to see a street quarrel. I was studying in my room. Suddenly, I heard a loud noise in the street. I saw a big crowd there. Two persons were exchanging hot words. Soon they came to blows. Both got injured and started bleeding. With great difficulty some people pacified them. The quarrel had started over a trifle. Some boys were playing in the open. By chance a ball struck another boy. They started fighting. Someone informed the parents of both the boys. They came out and started fighting. Thus a big scene was created out of a small thing. Such quarrels should be avoided.

Word-Meanings : Quarrel- झगड़ा , Common sight- आम दृश्य, Ugly shape- गंदा रूप, Exchanging hot words-गुस्से में बोल रहे थे, Blows-मुक्के, Bleeding-खून बहना, Pacified-शांत किया, Trifle- तुच्छ बात।

9. A Rainy Day

Hints : Got up ………… six o’clock ………… dark clouds ………. had my bath ……… breakfast ………. came out ………. raining ……… umbrella ………. reached school ………… rained till ………… home ………… after lunch ………… paper-boats ………… played with children………… love rainy season.

Yesterday I got up at six o’clock. I looked up. I saw dark clouds in the sky. It might rain any time. I hurried. I had my bath. Then I had my breakfast. I got ready for the school. I picked up my school bag. I came out of my house. It was raining. I took my umbrella and reached the school. Only a few students had come to school. There was no teaching work at all. We enjoyed all the time. It rained till two o’clock. The rain stopped. I came back home. I took my lunch. Then I made paper-boats. My friends and I played with paper-boats. We sailed them in the rain water. All children love rainy season.

Word-Meanings : Picked up- उठाया, Enjoyed- आनन्द लिया, Stopped- थम गई, Sailed- चलाई,

C- Mind Mapping

Mind Mapping अपने विचारों को प्रस्तुत करने का एक आसान तरीका है। इसमें किसी जानकारी को दिमाग से सोचकर या मन की आँखों से देखकर लिखित रूप में लाया जाता है।

इसके लिए आपको एक आरेख (Diagram) दिया जाता है जिसके केन्द्र में एक ऐसा ‘शब्द’ होता है जिससे बहुत कुछ जुड़ा होता है। आपको उससे जुड़ी जानकारी को जुटा कर (लिखकर) आरेख पूरा करना होता है। इसमें किसी क्रम को ध्यान में नहीं रखा जाता।

उदाहरण के लिए हम ‘School’ शब्द लेते हैं। School से जुड़ी हर वस्तु इस आरेख को पूरा कर सकती है; जैसेLibrary, Playground, Classrooms, Garden, Staff room, Science room etc.

Some Solved Examples

Type – I
1. Let’s learn the words related to bank:

Hints:
1. Cheque
2. Pass book
3. Withdrawal
4. Cash
5. Computer
6. ATM Machine
7. Credit Card
8. Locker.

2. Let’s learn the words related to Zoo.

Hints:
1. Tiger
2. Monkeys
3. Zebra
4. Elephant
5. Lion.

3. Let’s learn the words related to Birds.

Hints:
1. Crow
2. Sparrow
3. Pigeon
4. Peacock
5. Eagle.

4. Let’s learn the words related to Post Office.

Hints:
1. Stamps
2. Postmaster
3. Postmen
4. Letters
5. Parcels
6. Counters.

5. Let’s learn the words related to Places of Workship.

Hints:
1. Mosque
2. Temple
3. Pagoda (Buddhist Temple)
4. Church
5. Gurudwara.

6. Let’s learn the words related to Relations.

Hints:
1.Aunt
2. Father
3. Mother
4. Uncle
5. Brother
6. Sister.

Type – II

1. Study the map like picture and apply your mind to develop it into a suitable story.

Two Cats and the Monkey
Once there were a two cats. They found a loaf of bread. They started quarrelling over it. They decided to divide it into two equal parts. They went to a monkey for it. The monkey brought a balance and tore the bread in two parts. He put one part each in the two pans of the balance. The weighed unequal. The monkey ate up some from the heavier part. The process went on and the monkey ate up the whole loaf. The cats went away with sad heart.

Corona Times
It is corona times. The virus has spread a terror. People are following safety measures. They prefer staying at home. A boy is washing his hands. Road is deserted. One or two vehicles only can be seen on the road. Three customers are standing at a chemist shop. They have masks on their mouth. They are full of patiens. The doctors are in PPE kits. The nurses have gloves on their hands and masks on their mouth. A sanitising team is at work. They are sanitising a street. We must follow all protective measures to be safe from Covid-19.

2. Look at the picture and write the story in your own words. Give it a title.

One day a man was going to the market with his son and ass (गधा). They met a couple (दम्पति पति पत्नी) on the way. “Why walk when you have an ass to ride ?” Cried the husband. Let the boy sit on the ass.” “I would like that” said the boy. “Help me up, Father.”

Soon they met another couple. “How shameful (शमी कि बात है) of you !” cried the woman. “Let your father ride. Won’t he be tired ?” So, the boy got down and the father rode the ass.

Again they marched the “Poor boy.” said the next person they met. “Why should the lazy father rode while his son is walking ?” So, the boy got onto the ass too. As they went on, they met some travellers (यत्री). “How cruel of them ! They are up to kill the poor ass.” cried one of the travellers. Hearing this the father and the son got down. Now they decided (फैसला किया) to carry the ass on their shoulders. As they did so, the travellers broke into laughter (जोर से हंसने लगे). The laughter frightened (इरा दिया ) the ass. It broke free and ran away.

3. Look at the picture and write the story in your own words. Give it a title.

The Fox and the Goat
A fox went to a well to drink water. Accidently he fell into it. He tried to get out but was not successful. In the meantime a goat came there. She saw the fox inside the well. She asked him how all that had happened. The fox was very cunning. He told the goat that he was enjoying the water. The goat asked him if the water was sweet. He very smartly replied that it was the sweetest water that he had ever tasted. The goat said, “Let me taste it.” He asked her to bend down. When the goat bent down. The fox hung on to the goat and came out of the water and the goat fell in. He went away saying, “Now enjoy the sweet water.” The story teaches us that we should be away of cunning people.

Punjab State Board PSEB 7th Class English Book Solutions English Letter Writing Exercise Questions and Answers, Notes.

PSEB 7th Class English Letter Writing

1. Application for Leave (For going to a doctor)

Write an application to your Headmaster to grant you leave as you are going to the doctor.

The Headmaster
Govt. High School
Ludhiana
12 March 20…….
Sir

I wish to inform you that my mother is ill. I have an appointment with the doctor at 12 for her medical check up. Kindly allow me to leave the school at 11 a.m.

Thanking you
Yours obediently
Baldev Singh
Class VII B

Word-Meanings : Appointment- मिलने का समय, Allow- अनुमति देना।

2. Application for School Leaving Certificate

Imagine you are Baldev Oberoi. You are a student of Govt. High School, Ropar. Your father has been transferred to Sangrur. Write an application to the Headmaster of your school, requesting him to issue you the school leaving certificate.
Or
Write an application to the headmaster of your school requesting him to issue you the school living certificate.

The Headmaster
Govt. High School
Ropar
12 March 20……
Sir

With due respect I wish to say that I am a student of VII A of your school. My father has been transferred to Sangrur. He is to report on duty there within three days. All the members of our family are leaving for Sangrur.

I will have to join some school at Sangrur. So you are requested to issue my school leaving certificate and oblige.

Yours obediently
Baldev Oberoi
Class VII A

Word-Meanings : Transferred- बदली हो गई, Oblige- कृतार्थ करें।

3. Application for Sick Leave

Suppose you are Harjit Singh. You are a student of Govt. High School, Balachaur. Write an application to the Headmaster to grant you leave for four days because you are ill.

The Headmaster
Govt. High School
Balachaur
March 13, 20……..
Sir

I have been ill since yesterday. The doctor has advised me complete rest. So I cannot attend the school.
Kindly grant me leave for four days. I shall be highly thankful to you for this.

Yours obediently
Harjit Singh
VII C

Word-Meanings : Advised- परामशं दिया हे, Highly thankful- अति धन्यवादी

4. Application for Full Fee Concession

You are a student of Khalsa Model School, Patiala. Write an application to the Headmaster requesting him to grant you full fee concession. Give reasons like father’s income, family conditions, academic and sports merit.

The Headmaster
Khalsa Model School
Patiala
8 March 20……
Sir

I am a student of VII B of your school. My father is a clerk. His income is very small but our family is very large. So he is unable to pay my school fee.

I am a good student. I always get good marks. I am a good player of hockey also. I was a free student last year. Kindly grant me full fee concession this year also. I shall be thankful to you for this.

Yours obediently
Sham Singh
Roll No. 25
VIIB

Word-Meanings : Unable- असमर्थ, Free student- फीस मुक्त विद्यार्थी

5. Application for Remission of Fine Write an application to the Headmistress of your school for remission of fine.

The Headmistress
GGS High School
X.Y.Z.
10 March 20 ………
Madam

I beg to say that our English teacher gave us a test on Sunday. My father was seriously ill on that day. I was to attend upon him. So I could not take the test. My teacher fined me ten rupees.

My father is a poor man. He cannot pay my fine. Besides, I am a good student. I always stand first in English. Kindly remit my fine.
I shall be very thankful to you.

Yours obediently
Simaran
VIID

Word-Meanings : Attend upon- देखरेख करना, Besides- इसके अतिरिक्त

6. Encouraging Brother / Sister on Losing a Match

Your brother/sister is the captain of his/her school’s hockey team. The school lost the match and could not qualify for the zonals. He/she is sad about it. Write a letter encouraging him/her and giving some advice.

42 Court Road
Amritsar
April 2, 20……
Dear Kamal

Through a newspaper, I have come to know that your school has lost the hockey match. It has failed to qualify for the zonals. Since you are the captain of the team, you must be very upset. But there is nothing to be sad about it. Victory and defeat go side by side. Moreover, failures are the stepping stones to success. So have courage and work harder. One day the success will be yours.
With lots of love

Your loving
brother Balvinder

Word-Meanings : Qualify- स्थान बनाना, Defeat- हार, Side by side- साथ साथ, Stepping stones to success- सफलता की सीढियां

7. Letter to a Sportsperson

Write a letter to a sportsperson telling him/her why you admire him/her.

215 Model Town
Khanna
18 Feb. 20 ………
Dear Sachin

I am very fond of sports. I like cricket the most and you are my favourite sportsperson. Your style of playing is really admirable. I feel thrilled when you are at the crease. The way you bowl and field is superb. So I consider you the best all-rounder of today. I wish you set more and more records.
With heartiest well-wishes

Your fan
Navjat

Word-Meanings : Sportsperson- खिलाड़ी, Admirable- प्रशंसनीय, Thrilled- रोमांचित Superb- शानदार।

8. Letter about School

Write a letter to your cousin in U.S.A. telling him about your school.

105 The Mall
Amritsar
October 1, 20……
Dear Sanju

You will be glad to know that I have joined a new school. It is a government school. It is outside the city. The school building is very beautiful. There are 40 rooms in it. It has two large playgrounds. It has a garden also. The library is very big.

The school has 40 teachers. They are well qualified. The headmaster is a very able person. He is an M.A., B.T. The school has 1500 students. The examination results are always good. The school is really a model school.
With love

Yours affectionately
Raman

Word-Meanings : Qualified- योग्य, Model- अदर्श

9. Inviting a Friend to a Birthday Party

Write a letter to your friend Vinod inviting him to your birthday party.

Kailash Colony
……….. City
March 12, 20 ……..
My dear Vinod

You will be glad to know that my birthday falls on March 20. I am planning to celebrate it at home. There will be a programme of dance and music. A dinner will also be served. All our friends are coming. I hope you will also join us. I am sure you will enjoy yourself.

Yours sincerely
Prem

Word-Meanings : Celebrate- मनाना, Falls- को पड़ता है।

10. Mistakes in the English Companion

Write a letter to Raman Publishers about some mistakes in their English Companion of Class VII.

Dev Kumar
H.No. 315 Mithu Basti
Jalandhar
M/s Raman Publishers
Lal Chowk
Ludhiana
March 10, 20 …….
Sir

It is to bring to your notice that there are some mistakes in the English Companion Class VII. – The errors are as under:
Page No. Incorrect Correct rain
reign 21 Rami
Rani 24
Ambrella Umbrella 60 Jansi
Jhansi There can be more errors. Kindly revise the book and rectify the mistakes. Thanking you Yours truly Dev Kumar

Word-Meanings : Errors- गन्तियां, Rectily- सुधारना

11. Extension of Holidays

Write a letter to your Principal for extension of your holidays.

The Principal
Guru Ramdas High School
Khanna
11 March 20 ……..
Sir

Our summer vacation are coming to a close. The sun is still very hot because it did not rain during the holidays. The heat is unbearable. This is the hottest month breaking all previous (fted) records. I would, therefore, request you to extend (Q@FTI) the holidays for at least ten days.

Thanking you
Yours obediently
Simranjeet
VII-B

Word-Meanings : Unbearable- असहनीय, Previous- पिछले, Extend- बढ़ाना, At least- कम से कम

Punjab State Board PSEB 8th Class Maths Book Solutions Chapter 13 Direct and Inverse Proportions Ex 13.1 Textbook Exercise Questions and Answers.

PSEB Solutions for Class 8 Maths Chapter 13 Direct and Inverse Proportions Ex 13.1

1. Following are the car parking charges near a railway station upto:

Check if the parking charges are in direct proportion to the parking time.
Solution:
Here, ratio of parking charges and parking time are as follow:

Parking time	Parking charges	Parking charge / Parking time
4 hours	₹ 60	\(\frac{60}{4}=\frac{15}{1}\)
8 hours	₹ 100	\(\frac{100}{8}=\frac{25}{2}\)
12 hours	₹ 140	\(\frac{140}{12}=\frac{35}{3}\)
24 hours	₹ 180	\(\frac{180}{24}=\frac{15}{2}\)

Here, \(\frac {15}{1}\) ≠ \(\frac {25}{2}\) ≠ \(\frac {35}{3}\) ≠ \(\frac {15}{2}\)
Thus, the parking charges are not in direct proportion to the parking time.

2. A mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. In the following table, find the parts of base that need to be added:
Solution:

Parts of red pigment	1	4	7	12	20
Parts of base	8	…	…	…	…

If parts of red pigment are x₁, x₂, x₃, x₄ and x₅ respectively, then parts of base are y₁, y₂, y₃, y₄ and y₅ respectively. Here, it is clear that mixture preparation is in direct proportion.

Thus, the table is

Parts of red pigment	1	4	7	12	20
Parts of base	8	32	56	96	160

3. In Question 2 above, if 1 part of a red pigment requires 75 ml of base, how much red pigment should we mix with 1800 ml of base?
Solution:
See as per question 2 –
x₁ = 1, y₁ = 75, x₂ = ? and yx₂ = 1800
\(\frac{x_{1}}{y_{1}}=\frac{x_{2}}{y_{2}}\)
∴ \(\frac{1}{75}=\frac{x_{2}}{1800}\)
∴ x₂ = \(\frac{1 \times 1800}{75}\)
∴ x₂ = 24
Thus, 24 ml of red pigment should be mixed with 1800 ml of base.

4. A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?
Solution:
Let the number of bottles filled by machine in 5 h be x.

Number of hours (x)	6	5
Number of bottles filled (y)	840	?

Here, as the number of hours decreases, the number of bottles filled will also decrease.
∴ It is case of direct proportion.
Here, x₁ = 6, y₁ = 840, x₂ = 5 and y₂ = ?
\(\frac{x_{1}}{y_{1}}=\frac{x_{2}}{y_{2}}\)
∴ \(\frac{6}{840}=\frac{5}{y_{2}}\)
∴ y₂ = \(\frac{5 \times 840}{6}\)
∴ y₂ = 700
Thus, 700 bottles will be filled in 5 hours.

5. A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm as shown in the diagram. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length?
Solution:

Enlargement in picture of bacteria	Length (cm)
50,000 times enlarged (x1)	5 (y1)
1 (x2)	? (y2)

Here, length of bacteria increases as picture of bacteria enlarges.
∴ It is case of, direct proportion.

Hence, the actual length of bacteria is 10^-4 cm.
Now, the photograph is enlarged 20,000 times.

Enlargement in picture of bacteria	Length (cm)
50,000 times enlarged (x1)	5 (y1)
20,000 times enlarged (x1)	? (y2)

∴ \(\frac{50,000}{5}=\frac{20,000}{y_{2}}\)
∴ y₂ = \(\frac{20,000 \times 5}{50000}\)
∴ y₂ = 2
Thus, its enlarged length would be 2 cm.

6. In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?
Solution:

–	Actual ship	Model ship
Length of the ship x	28 m	?
Height of mast y	12m	9 cm

This is a case of direct proportion.
x₁ = 28, y₁ = 12, x₂ = ?, y₂ = 9
\(\frac{x_{1}}{y_{1}}=\frac{x_{2}}{y_{2}}\)
∴ \(\frac{28}{12}=\frac{x_{2}}{9}\)
∴ x₂ = \(\frac{28 \times 9}{12}\)
∴ x₂ = 21
Thus, the length of model ship is 21 cm.

7. Suppose 2 kg of sugar contains 9 × 10⁶ crystals. How many sugar crystals are there in

Question (i)
5 kg of sugar?
Solution:

Weight of sugar (kg) x	Number of sugar crystals y
x1 = 2	y1 = 9 × 106
x2 = 5	y2 = (?)

This is a case of direct proportion.

Thus, there are 2.25 × 10⁷ crystals of sugar in 5 kg of sugar.

Question (ii)
1.2kg of sugar?
Solution:

Weight of sugar (kg) x	Number of sugar crystals y
x1 = 2	y1 = 9 × 106
x2 = 1.2	y2 = (?)

Here. x₁ = 2, x₁ = 9 × 10⁶, x² = 1.2, y² = ?
\(\frac{x_{1}}{y_{1}}=\frac{x_{2}}{y_{2}}\)
∴ \(\frac{2}{9 \times 10^{6}}=\frac{1.2}{y_{2}}\)
∴ y₂ = \(\frac{1.2 \times 9 \times 10^{6}}{2}\)
∴ y₂ = 0.6 × 9 × 10⁶
∴ y₂ = 5.4 × 10⁶
Thus, there are 5.4 × 10⁶ crystals of sugar in 1.2 kg of sugar.

8. Rashmi has a road map with a scale of 1 cm representing 18 km. She drives on a road for 72 km. What would be her distance covered in the map?
Solution:

Actual distance (km) x	Distance on the map (cm) y
x1 = 18	y1 = 1
x2 = 72	y2 = (?)

This is a case of direct proportional.
Here, x₁ = 18 km, y₁ = 1 cm, x₂ = 72 km, y₂ = ?
\(\frac{x_{1}}{y_{1}}=\frac{x_{2}}{y_{2}}\)
∴ \(\frac{18}{1}=\frac{72}{y_{2}}\)
∴ y₂ = \(\frac{72 \times 1}{18}\)
∴ y₂ = 4
Thus, the distance covered by her on the map is 4 cm.

9. A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time

Question (i)
the length of the shadow cast by another pole 10 m 50 cm high
Solution:

Height of vertical pole x	Length of shadow y
x1 = 5 m 60 cm = 560 cm	y1 = 3 m 20 cm = 320 cm
x2 = 10 m 50 cm = 1050 cm	y2 = (?)

This is a case of direct proportionality.

Thus, the length of the shadow cast by another pole is 6 m.

Question (ii)
the height of a pole which casts a shadow 5 m long.
Solution:

Height of vertical pole x	Length of shadow y
x1 = 560 cm	y1 = 320 cm
x2 = (?)	y2 = 5 m = 500 cm

x₁ = 560, y₁ = 320, x₂ = ?, y₂ = 500
\(\frac{x_{1}}{y_{1}}=\frac{x_{2}}{y_{2}}\)
∴ \(\frac{560}{320}=\frac{x_{2}}{500}\)
∴ x₂ = \(\frac{560 \times 500}{320}\)
∴ x₂ = 875 cm
∴ x₂ = 8.75 cm
Thus, the height of the pole is 8,75 m.

10. A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours?
Solution:

Distance (km) x	Time (minute) y
x1= 14	y1 = 25
x2 = (?)	y2 = 5 hours = 300

This is a case of direct proportion.
∴ Here, x₁ = 14, y₁ = 25, x₂ = ?, y₂ = 300
\(\frac{x_{1}}{y_{1}}=\frac{x_{2}}{y_{2}}\)
∴ \(\frac{14}{25}=\frac{x_{2}}{300}\)
∴ x₂ = \(\frac{14 \times 300}{25}\)
∴ x₂ = 168
Thus, loaded truck can travel 168 km in 5 h.

Punjab State Board PSEB 10th Class Maths Book Solutions Chapter 13 Surface Areas and Volumes Ex 13.2 Textbook Exercise Questions and Answers.

PSEB Solutions for Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.2

Question1.
A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of it.
Solution:
Radius of cone = Radius of hemisphere = 1 cm

R = 1 cm
Height of cone (H) = 1 cm
Volume of solid = volume of cone + volume of hemisphere
= \(\frac{1}{3}\) πR²H + \(\frac{2}{3}\) πR³
= \(\frac{1}{3}\) πR²2 [H + 2R]
= \(\frac{1}{3}\) π × 1 × 1 [1 + 2 × 1]
= \(\frac{1}{3}\) π × 3 = π cm³
Hence, Volume of solid = π cm³.

Question 2.
Rachel, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at its two ends by using a thin aluminium sheet. The diameter of the model is 3 cm and its length is 12 cm. If each cone has a height of 2 cm, find the volume of air contained in the model the Rachel made. (Assume the outer and inner dimensions of the model to be nearly the same.)
Solution:

Radius of cone = Radius of cylinder (R) = \(\frac{3}{2}\) cm
∴ R = 1.5 cm
Height of eah cone (h) = 2 cm
∴ Height of cylinder = 12 – 2 – 2 = 8 cm
Volume of air in cylinder = volume of cylinder + 2 (volume of cone)

Volume of air in cylinder = \(\frac{22}{7} \times \frac{3}{2} \times \frac{3}{2} \times \frac{28}{3}\)
= 22 × 3 = 66 cm³

Hence, Volume of air in cylinder =66 cm³.

Question 3.
A gulab jamun, contains sugar syrup up to about 30% of its volume. Find approximately how much syrup would be found in 45 gulab jamuns, each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm.

Solution:
Gulab Jamun is in the shape of cylinder
Diameter of cylinder = Diameter of hemisphere = 2.8 cm

Radius of cylinder = Radius of hemisphere (R)
= \(\frac{28.2}{2}\) = 1.4 cm
R = 1.4 cm
Height of cylindrical part = 5 – 1.4 – 1.4
= (5 – 2.8) cm = 2.2 cm.
Volume of one gulab Jamun = Volume of cylinder + 2 [Volume of hemisphere]
= πR²H + 2 \(\frac{2}{3}\) πR³

= πR² H + \(\frac{4}{3}\) R

= \(\frac{4}{4}\) × 1.4 × 1.4 2.2 + \(\frac{4}{3}\) × 1.4

= \(\frac{22}{7}\) × \(\frac{14}{10}\) × \(\frac{14}{10}\) 2.2 + \(\frac{4}{3}\) × 1.4

= \(\frac{22}{7}\) × \(\frac{196}{100}\) [2.2 + 1.86]

= \(\frac{22 \times 28}{100}\) [4.06]

Volume of one gulab Jamun = 25.05 cm³
Now volume of 45 gulab Jamuns = 45 × 25.05 cm³ = 1127.25 cm³
Volume of sugar syrup = 30% volume of 45 gulab Jamuns
= \(\frac{30 \times 1127.25}{100}\) = 338.175 cm3
Hence, Approximately sugar syrup = 338 cm³.

Question 4.
A pen stand made of wood is in the shape of a cuboid with four conical depressions to hold pens. The dimensions of the cuboid are 15 cm by 10 cm by 3.5 cm. The radius of each of the depressions is 0.5 cm and the depth is 1.4 cm. Find the volume of wood in the entire stand.

Solution. Length of cuboid (L) = 15 cm
Width of cuboid (B) = 10 cm
Height of cuboid (H) = 3.5 cm
Radius of conical cavity (r) = 0.5 cm
Height of conical cavity (h) = 1.4 cm
Volume of wood in Pen stand = volume of cuboid – 4 [volume of cone]
= LBH – 4 \(\frac{1}{3}\) πr²h

= 15 × 10 × 3.5 – \(\frac{4}{3}\) × \(\frac{22}{7}\) × 0.5 × 0.5 × 1.4

= \(\frac{15 \times 10 \times 35}{10}-\frac{4}{3} \times \frac{22}{7} \times \frac{5}{10} \times \frac{5}{10} \times \frac{14}{10}\)

= \(15 \times 35-\frac{22}{3 \times 5}\)
= 525 – 1.466 = 523.534 cm³
Hence, Volume of wood in Pen stand = 523.53 cm³.

Question 5.
A vessel is in the form of an inverted cone. Its height ¡s 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.
Solution:

Radius of cone (R) = 5 cm
Height of cone (H) = 8 cm
Radius of each spherical lead shot (r) = 0.5 cm
Let number of shot put into the cone = N
According to Question,
N [Volume of one lead shot] = \(\frac{1}{4}\) Volume of water in cone

= 10 × 10 = 100
Hence, Number of lead shots = 100.

Question 6.
A solid iron pole consists of a cylinder of height 220 cfi and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of the pole, given that 1 cm3 of Iron has approximately 8 g mass. (Use n = 3.14)
Solution:
Diameter of lower cylinder = 24 cm
Radius of lower cylinder (R) = 12 cm
Height of lower cylinder (H) = 220 cm
Radius of upper cylinder (r) = 8 cm
Height of upper cylinder (h) = 60 cm
Volume of pole = Volume of Lower cylinder + volume of upper cylinder
= πR²H + πr²h
= 3.14 × 12 × 12 × 220 + 3.14 × 8 × 8 × 60
= 99475.2 + 12057.6

Volume of pole = 111532.8 cm³
Mass of 1 cm³ = 8 gm
Mass of 111532.8 cm³ = 8 × 111532.8 = 892262.4 gm
= \(\frac{892262.4}{1000}\) kg = 892.2624 kg
Hence, Mass of Pole = 892.2624 kg.

Question 7.
A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm.
Solution:
Radius of cone = Radius of hemisphere = Radius of cylinder

Height of cone (h) = 120 cm
Height of cylinder (H) = 180 cm
Volume of cylindrical vessel = πR²H
= \(\frac{22}{7}\) × 60 × 60 × 180 = 2036571.4 cm³
Volume of solid inserted in cylinder = Volume of hemisphere + Volume of cone
= \(\frac{2}{3}\) πR³ + \(\frac{1}{3}\) πR²h

= \(\frac{1}{3}\) πR² [2R + h]

= \(\frac{1}{3}\) × \(\frac{22}{7}\) × 60 × 60 [2 × 60 + 120]

= \(\frac{1}{3}\) × \(\frac{22}{7}\) × 3600 [120 + 120]

= \(\frac{1}{3}\) × \(\frac{22}{7}\) × 3600 × 240 = 905142.86 cm³
Volume of water flows out = 90514186 cm³
∴ Volume of water left in cylinder = Volume of cylinder – Volume of solid inserted in th’e vessel
= (2036571.4 – 905142.86) cm³ = 1131428.5 cm³
= \(\frac{1131428.5}{100 \times 100 \times 100}\) m³ = 1.131 m³
Hence, Volume of water left in cylinder = 1.131 m³.

Question 8.
A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter; the diameter of the spherical part is 8.5 cm. By measuring the amount of water it holds, a child finds its volume to be 345 cm³. Check whether she is correct, taking the above as the inside measurements, and π = 3.14.
Solution:
Diameter of neck (cylindrical Portion) = 2 cm

Radius of neck (r) = 1 cm
Height of cylindrical portion (H) = 8 cm
Diameter of spherical portion = 8.5 cm
Radius of spherical portion (R) = \(\frac{8.5}{2}\) cm = 4.25 cm
Volume of water in vessel = Volume of sphere + Volume of cylinder
= \(\frac{4}{3}\) πR³ + πR²h
= \(\frac{4}{3}\) × 3.14 × 4.25 × 4.25 × 4.25 × 3.14 × 1 × 1 × 8
= 321.39 + 25.12 = 346.51 cm³
Hence, Volume of water in vessel = 346.51 cm³ and She is wrong.

Punjab State Board PSEB 8th Class Maths Book Solutions Chapter 14 Factorization InText Questions and Answers.

PSEB 8th Class Maths Solutions Chapter 14 Factorization InText Questions

Try These : [Textbook Page No. 219]

1. Factorise:

Question (i)
12x + 36
Solution:
12x = 2 × 2 × 3 × x and
36 = 2 × 2 × 3 × 3
Common factors = 2 × 2 × 3
∴ 12x + 36 = (2 × 2 × 3 × x) + (2 × 2 × 3 × 3)
= (2 × 2 × 3) (x + 3)
= 12 (x + 3)

Question (ii)
22y – 33z
Solution:
22y = 2 × 11 × y and 33z = 3 × 11 × z
Common factor =11
∴ 22y – 33z = (2 × 11 × y) – (3 × 11 × z)
= (11) × (2 × y – 3 × z)
= 11 (2y – 3z)

Question (iii)
14pq + 35pqr
Solution:
14pq = 2 × 7 × p × q and
35pqr = 7 × 5 × p × q × r
Common factor = 7pq
∴ 14pq + 35pqr = (2 × 7 × p × q) + (7 × 5 × p × q × r)
= 7 × p × q (2 + 5 × r)
= 7pq (2 + 5r)

Try These : [Textbook Page No. 225]

1. Divide:

Question (i)
24xy²z³ by 6yz²
Solution:
= \(\frac{24 x y^{2} z^{3}}{6 y z^{2}}\)
= \(\frac{2 \times 2 \times 2 \times 3 \times x \times y \times y \times z \times z \times z}{2 \times 3 \times y \times z \times z}\)
= \(\frac{2 \times 2 \times x \times y \times z}{1}\) = 4xyz
∴ 24xy²z³ ÷ 6yz²
= 4xyz

Question (ii)
63a²b⁴c⁶ by 7a²b²c³
Solution:
= \(\frac{63 a^{2} b^{4} c^{6}}{7 a^{2} b^{2} c^{3}}\)
= \(\frac{3 \times 3 \times 7 \times a^{2} \times b^{4} \times c^{6}}{7 \times a^{2} \times b^{2} \times c^{3}}\)
= 3 × 3 × \(\frac{a^{2}}{a^{2}} \times \frac{b^{4}}{b^{2}} \times \frac{c^{6}}{c^{3}}\)
= 9 × a^2-2 × b^4-2 × c^6-3
= 9 × a⁰ × b² × c³
= 9 × 1 × b² × c³
= 9b²c³
∴ 63a²b⁴c⁶ ÷ 7a²b²c³
= 9b²c³