**CBSE Class 8 Maths – MCQ and Online Tests – Unit 16 – Playing with Numbers**

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**CBSE Class 8 Maths – MCQ and Online Tests – Unit 16 – Playing with Numbers**

Question 1.

Which of the following numbers is not divisible by 3 ?

(a) 234

(b) 243

(c) 324

(d) 457.

## Answer

Answer: (d) 457

Hint:

4 + 5 + 7 = 16 is not divisible by 3.

Question 2.

If the three digit number 24x is divisible by 9, the value of x is:

(a) 3

(b) 7

(c) 1

(d) None of the above

## Answer

Answer: (a) 3

Hint:

If 24x is divisible by 9, then:

2 + 4 + x = 6 + x is also divisible by 9.

It is possible only when, 6 + x = 9, 18, Ö

Since x is single digit, therefore, 6 + 3 = 9

x = 3

Question 3.

Which of the following numbers is divisible by 3 ?

(a) 145

(b) 237

(c) 709

(d) 400.

## Answer

Answer: (b) 237

Hint:

2 + 3 + 7 = 12 is divisible by 3.

Question 4.

The number 100 ◊ b + 10 ◊ c + a in usual form is

(a) bac

(b) bca

(c) cab

(d) cba.

## Answer

Answer: (b) bca

Question 5.

Which of the following numbers is divisible by 9 ?

(a) 234

(b) 334

(c) 444

(d) 434.

## Answer

Answer: (a) 234

Hint:

2 + 3 + 4 = 9 is divisible by 9.

Question 6.

The number 10 ◊ 2 + 7 in usual form is

(a) 72

(b) 22

(c) 77

(d) 21.

## Answer

Answer: (d) 21.

Question 7.

The generalised form of the number 123 is

(?) 1 ◊ 100 + 2 ◊ 10 + 3

(b) 2 ◊ 100 + 3 ◊ 10 + 1

(c) 3 ◊ 100 + 1 ◊ 10 + 2

(d) none of these.

## Answer

Answer: (?) 1 ◊ 100 + 2 ◊ 10 + 3

Question 8.

The generalised form of the number 234 is

(?) 2 ◊ 100 + 3 ◊ 10 + 4

(b) 3 ◊ 100 + 4 ◊ 10 + 2

(c) 4 ◊ 100 + 2 ◊ 10 + 3

(d) none of these.

## Answer

Answer: (?) 2 ◊ 100 + 3 ◊ 10 + 4

Question 9.

The number 3 ◊ 100 + 4 ◊ 10 + 5 in usual form is

(a) 453

(b) 435

(c) 354

(d) 345.

## Answer

Answer: (d) 345.

Question 10.

The number 5 ◊ 100 + 7 ◊ 10 + 9 in usual form is

(a) 795

(b) 759

(c) 579

(d) 597.

## Answer

Answer: (c) 579

Question 11.

The number 100 ◊ a + 10 ◊ 6 + c in usual form is

(a) abc

(b) bca

(c) cab

(d) none of these.

## Answer

Answer: (a) abc

Question 12.

Find the value of A in the following:

(a) 1

(b) 2

(c) 3

(d) 4.

## Answer

Answer: (c) 3

Hint:

Question 13.

Find the value of A, B in the following:

(a) 5, 6

(b) 5, 5

(c) 6, 5

(d) 6, 6.

## Answer

Answer: (a) 5, 6

Hint:

Question 14.

Find the value of A, B in the following:

(a) 3, 1

(b) 1, 1

(c) 3, 3

(d) 1, 3.

## Answer

Answer: (a) 3, 1

Hint:

Question 15.

Find the value of A, B in the following:

(a) 6, 9

(b) 6, 6

(c) 9, 6

(d) 9, 9

## Answer

Answer: (a) 6, 9

Hint:

Question 16.

Find the values of A, B in the following:

(a) 5, 1

(b) 5, 5

(c) 1, 1

(d) 1, 5.

## Answer

Answer: (a) 5, 1

Hint:

Question 17.

Which of the following numbers is divisible by 2 ?

(a) 19

(b) 27

(c) 99

(d) 50.

## Answer

Answer: (d) 50.

Hint:

In 19, 27, 99, oneís digit is not divisible by 2.

Question 18.

Which of the following numbers is divisible by 2 ?

(a) 179

(b) 235

(c) 500

(d) 673.

## Answer

Answer: (c) 500

Hint:

In 500, oneís digit is divisible by 2.

Question 19.

If the number 1 x 8 is divisible by 3, then x is equal to

(a) 0 or 3 or 6 or 9

(b) 4

(c) 5

(d) 7.

## Answer

Answer: (a) 0 or 3 or 6 or 9

Hint:

1 + 0 + 8 = 9

1 + 3 + 8 = 12;

9, 12, 15, 18 each is divisible by 3

Question 20.

If the number 9 y 7 is a multiple of 3, then y =

(a) 4

(b) 3

(c) 6

(d) 2 or 5 or 8.

## Answer

Answer: (d) 2 or 5 or 8.

Hint:

9 + 2 + 7 = 18

9 + 5 + 7 = 21;

9 + 8 + 7 = 24.

each of 18, 21 and 24 is divisible by 3.

Question 21.

If the three-digit number 4 3 x is divisible by 9, what is the value of x ?

(a) 1

(b) 2

(c) 3

(d) 4.

## Answer

Answer: (b) 2

Hint:

4 + 3 + 2 = 9 which is divisible by 9.

Question 22.

If the three-digit number x 2 7 is divisible by 9, then the value of x is

(a) 8

(b) 7

(c) 6

(d) 9.

## Answer

Answer: (d) 9

Hint:

9 + 2 + 7 = 18 is divisible by 9.

Question 23.

If the three-digit number 6 y 8 is divisible by 9, then the value of y is

(a) 1

(b) 2

(c) 3

(d) 4.

## Answer

Answer: (d) 4

Hint:

6 + 4 + 8 = 18 is divisible by 9.

Question 24.

Which of the following numbers is not divisible by 3 ?

(a) 123

(b) 132

(c) 231

(d) 134.

## Answer

Answer: (d) 134

Hint:

1 + 3 + 4 = 8 is not divisible by 3.

Question 25.

The generalised form of the number 52 is

(a) 10 ◊ 5 + 2

(b) 100 ◊ 5 + 2

(c) 10 ◊ 2 + 5

(d) 10 ◊ 5.

## Answer

Answer: (a) 10 ◊ 5 + 2

Question 26.

The generalised form of the number 33 is

(a) 10 ◊ 3 + 3

(b) 10 ◊ 3

(c) 3 + 3

(d) 3 ◊ 3 + 3.

## Answer

Answer: (a) 10 ◊ 3 + 3

Question 27.

The number 10 ◊ 7 + 5 in usual form is

(a) 57

(b) 75

(c) 55

(d) 77.

## Answer

Answer: (b) 75

Question 28.

Which of the following numbers is not divisible by 9 ?

(a) 135

(b) 351

(c) 513

(d) 247.

## Answer

Answer: (d) 247

Hint:

2 + 4 + 7 = 13 is not divisible by 9.

Question 29.

Which of the following numbers is divisible by 5 ?

(a) 125

(b) 127

(c) 731

(d) 339.

## Answer

Answer: (a) 125

Hint:

Oneís digit of 125 is 5.

Question 30.

Which of the following numbers is divisible by 5 ?

(a) 120

(b) 233

(c) 348

(d) 447.

## Answer

Answer: (a) 120

Hint:

Oneís digit of 120 is 0.

Question 31.

The number 2146587 is divisible by:

(a) 7

(b) 3

(c) 11

(d) None of the above

## Answer

Answer: (b) 3

Hint:

2146587 = 2 + 1 + 4 + 6 + 5 + 8 + 7 = 33

Since, 33 is divisible by 3, hence 2146587 is divisible by 3.

Question 32.

The general form of abc is:

(a) 100a + 10b + c

(b) 100b + 10c + a

(c) 100c + 10a + b

(d) None of the above

## Answer

Answer: (a) 100a + 10b + c

Question 33.

The generalised form of 129 is:

(a) 100 + 90 + 2

(b) 100 + 20 + 9

(c) 100 + 2 + 9

(d) None of the above

## Answer

Answer: (b) 100 + 20 + 9

Question 34.

Which of the following numbers is not divisible by 5 ?

(a) 120

(b) 235

(c) 355

(d) 477.

## Answer

Answer: (d) 477

Hint:

In 477, oneís digit is neither 0 nor 5.

Question 35.

Which of the following numbers is divisible by 10?

(a) 40

(b) 35

(c) 57

(d) 69.

## Answer

Answer: (a) 40

Hint:

In 40, oneís digit is 0.

Question 36.

Which of the following numbers is divisible by 10?

(a) 235

(b) 3400

(c) 278

(d) 1277.

## Answer

Answer: (b) 3400

Hint:

In 3400, oneís digit is 0.

Question 37.

Which of the following numbers is not divisible by 10?

(a) 120

(b) 340

(c) 760

(d) 1246.

## Answer

Answer: (d) 1246

Hint:

In 1246, oneís digit is not 0.

Question 38.

The usual form of 100 ◊ 7 + 10 ◊ 1 + 8 is:

(a) 108

(b) 708

(c) 718

(d) 170

## Answer

Answer: (c) 718

Hint:

100 ◊ 7 + 10 ◊ 1 + 8

= 700 + 10 + 8

= 718

Question 39.

Which of the following numbers are not divisible by 5?

(a) 20

(b) 125

(c) 122

(d) 200

## Answer

Answer: (c) 122

Hint:

To be completely divisible by 5, the number should have 0 or 5 at itís oneís digit place.

Question 40.

Which of the following numbers are divisible by 10?

(a) 99

(b) 45

(c) 110

(d) 75

## Answer

Answer: (c) 110

Hint:

If any number has 0 at its oneís digit place, then it is divisible by 10.

Hence, 110/10 = 11

Question 41.

Which of the following are divisible by 2?

(a) 98

(b) 99

(c) 101

(d) 121

## Answer

Answer: (a) 98

Hint:

If oneís digit of any number is even number, then the number is completely divisible by 2.

Hence, 98/2 = 49

Question 42.

If a number is divisible 9, then it is divisible by:

(a) 6

(b) 7

(c) 3

(d) 11

## Answer

Answer: (c) 3

Hint:

If 99 is divisible by 9 then it is also divisible by 3.

99/9 = 11 and 99/3 = 33

Question 43.

Which of the following numbers is not divisible by 2 ?

(a) 200

(b) 40

(c) 66

(d) 83.

## Answer

Answer: (d) 83.

Hint:

In 83, oneís digit is not divisible by 2.

Question 44.

Which of the following numbers is not divisible by 2 ?

(a) 54

(b) 37

(c) 60

(d) 98.

## Answer

Answer: (b) 37

Hint:

In 37, oneís digit is not divisible by 2.

Question 45.

Which of the following numbers is not divisible by 2 ?

(a) 120

(b) 244

(c) 888

(d) 179.

## Answer

Answer: (d) 179.

Hint:

In 179, oneís digit is not divisible by 2.

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