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## Wednesday 24 February 2021

### CBSE Class 8 Maths - MCQ and Online Tests - Unit 16 - Playing with Numbers

#### 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.

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

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.

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.

Question 5.
Which of the following numbers is divisible by 9 ?
(a) 234
(b) 334
(c) 444
(d) 434.

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.

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: (?) 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: (?) 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.

Question 10.
The number 5 ◊ 100 + 7 ◊ 10 + 9 in usual form is
(a) 795
(b) 759
(c) 579
(d) 597.

Question 11.
The number 100 ◊ a + 10 ◊ 6 + c in usual form is
(a) abc
(b) bca
(c) cab
(d) none of these.

Question 12.
Find the value of A in the following: (a) 1
(b) 2
(c) 3
(d) 4.

Hint: Question 13.
Find the value of A, B in the following: (a) 5, 6
(b) 5, 5
(c) 6, 5
(d) 6, 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.

Hint: Question 15.
Find the value of A, B in the following: (a) 6, 9
(b) 6, 6
(c) 9, 6
(d) 9, 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.

Hint: Question 17.
Which of the following numbers is divisible by 2 ?
(a) 19
(b) 27
(c) 99
(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.

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: (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: (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.

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.

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.

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.

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: (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: (a) 10 ◊ 3 + 3

Question 27.
The number 10 ◊ 7 + 5 in usual form is
(a) 57
(b) 75
(c) 55
(d) 77.

Question 28.
Which of the following numbers is not divisible by 9 ?
(a) 135
(b) 351
(c) 513
(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.

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.

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

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: (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: (b) 100 + 20 + 9

Question 34.
Which of the following numbers is not divisible by 5 ?
(a) 120
(b) 235
(c) 355
(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.

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.

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.

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

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

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

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

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

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.

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.

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.

Hint:
In 179, oneís digit is not divisible by 2.

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