# Class 8

Explore popular questions from Playing with Numbers for Class 8. This collection covers Playing with Numbers previous year Class 8 questions hand picked by experienced teachers.

# Mathematics

Playing with Numbers

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Q 1. Which occupies more space : 1 kg gold or 1 kg cotton?

A

Gold

Cotton

C

Both

D

None

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Q 2. Which encloses more area if their perimeters are same - an equilateral triangle or a square?

A

Equilaterals

Square

C

Both equal

D

None

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Q 3. I am as much older than my brother who is 10 years as I am younger than my father who is 70 years. How old I am?

40 years

B

30 years

C

20 years

D

10 years

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Q 4. The product of two 2-digit numbers is 1665. The product of their unit digits is 35 and that of tens digits is 12. Find the numbers.

37, 45

B

47, 35

C

67, 25

D

65, 27

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Q 5. If * and {tex}\circledcirc{/tex} are two operations such that a * b = a + b + 2 and a {tex}\circledcirc{/tex} b = a{tex}\times{/tex} b - 4, find
(i) (3 * 4) {tex}\circledcirc{/tex} 5 and (ii) 3 * 4 (4 {tex}\circledcirc{/tex} 5)
Are they equal?

A

Yes

No

C

Can't say

D

Can't be determined

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Q 6. Choose digits (0 - 9) for each letter which satisfies the equation. Each letter has different value.
{tex} x^{y} = y^{x}{/tex}

x = 2, y = 4

B

x = 4, y =2

C

x = 3, y = 2

D

x = 2, y = 3

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Q 7. Choose digits (0 - 9) for each letter which satisfies the equation. Each letter has different value.
{tex}\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=1{/tex}

A

2, 3, 6

B

1, 1, 1

3, 3, 3

D

3, 2, 6

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Q 8. Use the symbols +, -, {tex}\div{/tex}, {tex}\times{/tex} and {tex}\sqrt{}{/tex} to write the number 9 using 4 fours. For example, 44 {tex}\div{/tex} 44 = 1 or {tex}4 + 4 + 4 - \sqrt{4}{/tex} = 10.

A

4 + 4 + 4 {tex}\div{/tex} 4

B

4 + 4 - 4 {tex}\div{/tex} 4

C

4 + 4 - (4 {tex}\div{/tex} 4)

4 + 4 + (4 {tex}\div{/tex} 4)

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Q 9. Select a number, add 2, now multiple by 3 then subtract 6 and lastly divide by 3. What do you get?

A

always 3

B

Never 3

Always number itself

D

sometimes number itself

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Q 10. Select a number between 1 and 100. Add 28, then multiply by 6 and subtract 3. Now divide by 3 and then subtract 3 more than the original number. Now add 8, subtract 1 less than the original number. Lastly multiply by 7. Find the answer.

427

B

320

C

Number itself

D

420

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Q 11. The sum of the digits of a 2-digit number is equal to 12. The digit in the one's place is 3 times the digit in the tens place. Find the number.

39

B

93

C

57

D

75

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Q 12. The sum of the digits of a 2-digit number is 10. The digit in one's place is nine times the digit at ten's place. Find the number.

A

91

19

C

90

D

None

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Q 13. The smallest three digit number divisible by 3 is :

A

100

B

101

102

D

103

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Q 14. If a number 93*5 is divisible by 9, the possible digit which can replace * is :

1

B

2

C

3

D

4

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Q 15. If 23* is divisible by 11, the possible digit which can replace * is :

1

B

2

C

3

D

4

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Q 16. If the sum of the digits of the number is 33, then the number is divisible by :

3 only

B

9 only

C

neither 3 nor 9

D

3 and 9 both

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Q 17. If a number is divisible by 10, then the number is also divisible by :

A

2 only

B

5 only

C

neither 2 nor 5

2 and 5 both

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Q 18. The number 6912 is divisible by :

A

2 and 3

B

2 and 9 only

C

3 and 9 only

2, 3 and 9

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Q 19. A number having 0 at unit's digit is divisible by :

A

2 only

B

5 only

C

10 only

2, 5 and 10

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Q 20. If a number 87*2 is divisible by 9, the possible digit which can replace * is :

1

B

2

C

3

D

4

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Q 21. Largest three digit number divisible by 5 and 10 both is :

A

999

B

995

990

D

900

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Q 22. Choose digits (0 - 9) for each letter which satisfies the equation. Each letter has different value.
X {tex}\times{/tex} Y {tex}\times{/tex} YZ = XXX

2, 3, 7

B

4, 3, 2

C

1, 2, 3

D

2, 1, 7