Chemical Effects of Electric Current
Some Natural Phenomena
Force and Pressure
Pollution of Air and Water
Cell Structure and Functions
Crop Production and Management
Friction
Reproduction in Animals
Synthetic Fibres and Plastics
Coal and Petroleum
Combustion and Flame
Reaching the Age of Adolescence
Conservation and Flame
Light
Materials: Metals and Non-Metals
Microorganisms: Friend and Foe
Sound
Stars and the Solar System
Conservation of Plants and Animals

Algebraic Expressions and Identities
Data Handling
Direct and Inverse Proportions
Linear Equations in One Variable
Visualising Solid Shapes
Introduction to Graphs
Understanding Quadrilaterals
Factorisation
Cubes and Cube Roots
Comparing Quantities
Practical Geometry
Rational Numbers
Squares and Square Roots
Exponents and Powers
Mensuration
Playing with Numbers

Playing with Numbers

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

Gold

Cotton

Both

None

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

Equilaterals

Square

Both equal

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

30 years

20 years

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

47, 35

67, 25

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?

Yes

No

Can't say

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

x = 4, y =2

x = 3, y = 2

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}

2, 3, 6

1, 1, 1

3, 3, 3

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.

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

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

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?

always 3

Never 3

Always number itself

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

320

Number itself

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

93

57

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.

91

19

90

None

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

100

101

102

103

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

1

2

3

4

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

1

2

3

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

9 only

neither 3 nor 9

3 and 9 both

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

2 only

5 only

neither 2 nor 5

2 and 5 both

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Q 18. The number 6912 is divisible by :

2 and 3

2 and 9 only

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 :

2 only

5 only

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

2

3

4

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

999

995

990

900

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