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NCERT Class 8 Mathematics MCQ
Playing with Numbers
with Answers
Question :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 + 2Show Answer :
Question :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 + 3Show Answer :
Question :The number 10 × 7 + 5 in usual form is
(a) 57
(b) 75
(c) 55
(d) 77.
Answer : (b) 75Show Answer :
Question :The number 10 × 2 + 7 in usual form is
(a) 72
(b) 22
(c) 77
(d) 21.
Answer : (d) 21.Show Answer :
Question :The generalised form of the number 123 is
(а) 1 × 100 + 2 × 10 + 3
(b) 2 × 100 + 3 × 10 + 1
(c) 3 × 100 + 1 × 10 + 2
(d) none of these.
Answer : (а) 1 × 100 + 2 × 10 + 3Show Answer :
Question :The generalised form of the number 234 is
(а) 2 × 100 + 3 × 10 + 4
(b) 3 × 100 + 4 × 10 + 2
(c) 4 × 100 + 2 × 10 + 3
(d) none of these.
Answer : (а) 2 × 100 + 3 × 10 + 4Show Answer :
Question :The number 3 × 100 + 4 × 10 + 5 in usual form is
(a) 453
(b) 435
(c) 354
(d) 345.
Answer : (d) 345.Show Answer :
Question :The number 5 × 100 + 7 × 10 + 9 in usual form is
(a) 795
(b) 759
(c) 579
(d) 597.
Answer : (c) 579Show Answer :
Question :The number 100 × a + 10 × 6 + c in usual form is
(a) abc
(b) bca
(c) cab
(d) none of these.
Answer : (a) abcShow Answer :
Question :The number 100 × b + 10 × c + a in usual form is
(a) bac
(b) bca
(c) cab
(d) cba.
Answer : (b) bcaShow Answer :
Question :Find the value of A in the following:
(a) 1
(b) 2
(c) 3
(d) 4.
Answer : (c) 3Show Answer :
Hint:
1 3
x 3
−−−
3 9
−−−
Question :Find the value of A, B in the following:
(a) 5, 6
(b) 5, 5
(c) 6, 5
(d) 6, 6.
Answer : (a) 5, 6Show Answer :
Hint:
2 5
+ 3 6
−−−−−
6 1
−−−−−
Question :Find the value of A, B in the following:
(a) 3, 1
(b) 1, 1
(c) 3, 3
(d) 1, 3.
Answer : (a) 3, 1Show Answer :
3 1
+ 6 2
−−−−−
9 3
−−−−−
Question :Find the value of A, B in the following:
(a) 6, 9
(b) 6, 6
(c) 9, 6
(d) 9, 9
Answer : (a) 6, 9Show Answer :
Hint:
6 1
+ 2 9
−−−−−
9 0
−−−−−
Question :Find the values of A, B in the following:
(a) 5, 1
(b) 5, 5
(c) 1, 1
(d) 1, 5.
Answer : (a) 5, 1Show Answer :
Hint:
5 1
x 2
−−−
1 0 2
−−−
Question :Which of the following numbers is divisible by 2 ?
(a) 19
(b) 27
(c) 99
(d) 50.
Answer : (d) 50.Show Answer :
Hint:
In 19, 27, 99, one’s digit is not divisible by 2.
Question :Which of the following numbers is divisible by 2 ?
(a) 179
(b) 235
(c) 500
(d) 673.
Answer : (c) 500Show Answer :
Hint:
In 500, one’s digit is divisible by 2.
Question :Which of the following numbers is not divisible by 2 ?
(a) 200
(b) 40
(c) 66
(d) 83.
Answer : (d) 83.Show Answer :
Hint:
In 83, one’s digit is not divisible by 2.
Question :Which of the following numbers is not divisible by 2 ?
(a) 54
(b) 37
(c) 60
(d) 98.
Answer : (b) 37Show Answer :
Hint:
In 37, one’s digit is not divisible by 2.
Question :Which of the following numbers is not divisible by 2 ?
(a) 120
(b) 244
(c) 888
(d) 179.
Answer : (d) 179.Show Answer :
Hint:
In 179, one’s digit is not divisible by 2.
Question :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 9Show Answer :
Hint:
1 + 0 + 8 = 9
1 + 3 + 8 = 12;
9, 12, 15, 18 each is divisible by 3
Question :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.Show Answer :
Hint:
9 + 2 + 7 = 18
9 + 5 + 7 = 21;
9 + 8 + 7 = 24.
each of 18, 21 and 24 is divisible by 3.
Question :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 : (b) 2Show Answer :
Hint:
4 + 3 + 2 = 9 which is divisible by 9.
Question :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 : (d) 9Show Answer :
Hint:
9 + 2 + 7 = 18 is divisible by 9.
Question :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 : (d) 4Show Answer :
Hint:
6 + 4 + 8 = 18 is divisible by 9.
Question :Which of the following numbers is not divisible by 3 ?
(a) 123
(b) 132
(c) 231
(d) 134.
Answer : (d) 134Show Answer :
Hint:
1 + 3 + 4 = 8 is not divisible by 3.
Question :Which of the following numbers is not divisible by 3 ?
(a) 234
(b) 243
(c) 324
(d) 457.
Answer : (d) 457Show Answer :
Hint:
4 + 5 + 7 = 16 is not divisible by 3.
Question :Which of the following numbers is divisible by 3 ?
(a) 145
(b) 237
(c) 709
(d) 400.
Answer : (b) 237Show Answer :
Hint:
2 + 3 + 7 = 12 is divisible by 3.
Question :Which of the following numbers is divisible by 9 ?
(a) 234
(b) 334
(c) 444
(d) 434.
Answer : (a) 234Show Answer :
Hint:
2 + 3 + 4 = 9 is divisible by 9.
Question :Which of the following numbers is not divisible by 9 ?
(a) 135
(b) 351
(c) 513
(d) 247.
Answer : (d) 247Show Answer :
Hint:
2 + 4 + 7 = 13 is not divisible by 9.
Question :Which of the following numbers is divisible by 5 ?
(a) 125
(b) 127
(c) 731
(d) 339.
Answer : (a) 125Show Answer :
Hint:
One’s digit of 125 is 5.
Question :Which of the following numbers is divisible by 5 ?
(a) 120
(b) 233
(c) 348
(d) 447.
Answer : (a) 120Show Answer :
Hint:
One’s digit of 120 is 0.
Question :Which of the following numbers is not divisible by 5 ?
(a) 120
(b) 235
(c) 355
(d) 477.
Answer : (d) 477Show Answer :
Hint:
In 477, one’s digit is neither 0 nor 5.
Question :Which of the following numbers is divisible by 10?
(a) 40
(b) 35
(c) 57
(d) 69.
Answer : (a) 40Show Answer :
Hint:
In 40, one’s digit is 0.
Question :Which of the following numbers is divisible by 10?
(a) 235
(b) 3400
(c) 278
(d) 1277.
Answer : (b) 3400Show Answer :
Hint:
In 3400, one’s digit is 0.
Question :Which of the following numbers is not divisible by 10?
(a) 120
(b) 340
(c) 760
(d) 1246.
Answer : (d) 1246Show Answer :
Hint:
In 1246, one’s digit is not 0.
Question :The usual form of 100 × 7 + 10 × 1 + 8 is:
(a) 108
(b) 708
(c) 718
(d) 170
Answer : (c) 718Show Answer :
Hint:
100 × 7 + 10 × 1 + 8
= 700 + 10 + 8
= 718
Question :Which of the following numbers are not divisible by 5?
(a) 20
(b) 125
(c) 122
(d) 200
Answer : (c) 122Show Answer :
Hint:
To be completely divisible by 5, the number should have 0 or 5 at it’s one’s digit place.
Question :Which of the following numbers are divisible by 10?
(a) 99
(b) 45
(c) 110
(d) 75
Answer : (c) 110Show Answer :
Hint:
If any number has 0 at its one’s digit place, then it is divisible by 10.
Hence, 110/10 = 11
Question :Which of the following are divisible by 2?
(a) 98
(b) 99
(c) 101
(d) 121
Answer : (a) 98Show Answer :
Hint:
If one’s digit of any number is even number, then the number is completely divisible by 2.
Hence, 98/2 = 49
Question :If a number is divisible 9, then it is divisible by:
(a) 6
(b) 7
(c) 3
(d) 11
Answer : (c) 3Show Answer :
Hint:
If 99 is divisible by 9 then it is also divisible by 3.
99/9 = 11 and 99/3 = 33
Question :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 : (a) 3Show Answer :
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, …
Since x is single digit, therefore, 6 + 3 = 9
x = 3
Question :The number 2146587 is divisible by:
(a) 7
(b) 3
(c) 11
(d) None of the above
Answer : (b) 3Show Answer :
Hint:
2146587 = 2 + 1 + 4 + 6 + 5 + 8 + 7 = 33
Since, 33 is divisible by 3, hence 2146587 is divisible by 3.
Question :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 + cShow Answer :
Question :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 + 9Show Answer :
Question :The number 15287 is divisible by:
(a) 3
(b) 7
(c) 9
(d) None of the above
Answer : (d) None of the aboveShow Answer :
Question : Write in the usual form: 10×5 + 6
(a) 65
(b) 54
(c) 56
(d) 25
Answer :(c) 56Show Answer :
Question : The number 10 × 2 + 7 in usual form is
(a) 72
(b) 22
(c) 77
(d) 21.
Answer :(d) 21.Show Answer :
Question : If the number 1 × 8 is divisible by 3 then x is equal to
(a) 4
(b) 5
(c) 7
(d) 6
Answer :(d) 6Show Answer :
Question : Write in generalised form: 25
(a) 10 × 5 + 2
(b) 10 × 5 + 3
(c) 10 × 2 + 5
(d) 10 × 3 + 5
Answer :(c) 10 × 2 + 5Show Answer :
Question : By which of the following number 168 is divisible?
(a) 5
(b) 10
(c) 9
(d) 2
Answer :(d) 2Show Answer :
Question : 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 + 3Show Answer :
Question : The number 100 × a+ 10 × b + c in usual form is
(a) cab
(b) abc
(c) bca
(d) acb
Answer :(d) abcShow Answer :
Question : Which of the given numbers is composite?
(a) 137
(b) 147
(c) 157
(d) 167
Answer :(d) 147Show Answer :
Question : By which of the following number 9042 is not divisible? 2, 3, 6, and 9
(a) 2
(b) 3
(c) 9
(d) 6
Answer :(c) 9Show Answer :
Question : The number 3 × 100 + 4 × 10 + 5 in usual form is
(a) 453
(b) 435
(c) 354
(d) 345.
Answer :(d) 345.Show Answer :
Question : The number 28221 is divisible by which of the following?
(a) 2
(b) 3
(c) 6
(d) 9
Answer :(d) 3Show Answer :
Question : Write in generalised form: 85
(a) 10 × 5 + 8
(b) 10 × 8 + 5
(c) 10 × 5 + 3
(d) 10 × 3 + 5
Answer :(d) 10 × 8 + 5Show Answer :
Question : Which of the given numbers is composite?
(a) 137
(b) 147
(c) 157
(d) 167
Answer :(d) 147Show Answer :
Question : The number 100 × b + 10 × c + a in usual form is
(a) bac
(b) bca
(c) cab
(d) cba.
Answer :(d) bcaShow Answer :
Question : If the number 9y7 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 8Show Answer :
Question : By which of the following numbers is 477 not divisible?
(a) 3
(b) 7
(c) 53
(d) 9
Answer :(d) 7Show Answer :
Question : 32 + m is a prime number. What is the least value of ‘m’?
(a) 3
(b) 5
(c) 6
(d) 4
Answer :(d) 5Show Answer :
Question : Which of the following numbers is divisible by 2 ?
(a) 179
(b) 235
(c) 500
(d) 673.
Answer :(c) 500Show Answer :
Question : A number divisible by 9 is also divisible by:
(a) 3
(b) 6
(c) 11
(d) none of these.
Answer :(a) 3Show Answer :
Question : Which of the following is divisible by 12?
(a) 284382
(b) 624876
(c) 926248
(d) 746174
Answer :(d) 624876Show Answer :
Question :Which of the following is divisible by 12?
(a) 284382
(b) 624876
(c) 926248
(d) 746174
Answer : (b) 624876Show Answer :
Question :By which of the following number 168 is divisible?
(a) 5
(b) 10
(c) 9
(d) 2
Answer : (d) 2Show Answer :
Question :Write in the usual form: 100 × 7 + 10 × 1 + 8
(a) 871
(b) 718
(c) 178
(d) 781
Answer : (b) 718Show Answer :
Question :Write in the usual form: 10×5 + 6
(a) 65
(b) 54
(c) 56
(d) 25
Answer : (c) 56Show Answer :
Question :When is a number always divisible by 90?
(a) If it is divisible by both 2 and 45.
(b) If it is not divisible by both 5 and 18.
(c) If it is not divisible by both 9 and 10.
(d) If it is divisible by 3 and 20.
Answer : (a) If it is divisible by both 2 and 45.Show Answer :
Question :What value should be given to ” * ” so that the number 653 ∗ 47 is divisible by 11?
(a) 1
(b) 6
(c) 2
(d) 9
Answer : (a) 1Show Answer :
Question :By which of the following number 9042 is not divisible? 2, 3, 6, and 9
(a) 2
(b) 3
(c) 9
(d) 6
Answer : (c) 9Show Answer :
Question :Write in generalised form: 25
(a) 10 × 5 + 2
(b) 10 × 5 + 3
(c) 10 × 2 + 5
(d) 10 × 3 + 5
Answer : (c) 10 × 2 + 5Show Answer :
Question :Which of the given numbers is composite?
(a) 137
(b) 147
(c) 157
(d) 167
Answer : (b) 147Show Answer :
Question :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 + 3Show Answer :
Question :If a number is divisible by 9, it is also divisible by which number?
(a) 3
(b) 6
(c) 2
(d) 4
Answer : (a) 3Show Answer :
Question :32 + m is a prime number. What is the least value of ‘m’?
(a) 3
(b) 5
(c) 6
(d) 4
Answer : (b) 5Show Answer :
Question :Which of the following is not prime?
(a) 107
(b) 127
(c) 153
(d) 197
Answer : (c) 153Show Answer :
Question :Identify the missing digit in the number 234,4_6, if the number is divisible by 4.
(a) 2
(b) 6
(c) 4
(d) 5
Answer : (d) 5Show Answer :
Question :By which of the following numbers is 477 not divisible?
(a) 3
(b) 7
(c) 53
(d) 9
Answer : (b) 7Show Answer :
Question :N is a 5-digit number divisible by 5. If N is bigger than 10000 and smaller than 10010, what is the value of N?
(a) 10000
(b) 10010
(c) 10005
(d) 10001
Answer : (c) 10005Show Answer :
Question :Write in generalised form: 85
(a) 10 × 5 + 8
(b) 10 × 8 + 5
(c) 10 × 5 + 3
(d) 10 × 3 + 5
Answer : (b) 10 × 8 + 5Show Answer :
Question :Which of these numbers is divisible by 6?
(a) 5782
(b) 2666
(c) 6053
(d) 8964
Answer : (d) 8964Show Answer :
Question :If the division N ÷ 5 leaves a remainder of 0, what might be the one’s digit of N?
(a) 5
(b) Either 5 or 0
(c) 2
(d) 7
Answer : (b) Either 5 or 0Show Answer :
Question :Which of the following statements is false?
(a) If a number is divisible by 8, it must be divisible by 4.
(b) If a number is divisible by both 9 and 10, it is divisible by 90.
(c) The sum of two consecutive odd numbers is always divisible by 4.
(d) If a number is not divisible by both 3 and 4, it is divisible by 12.
Answer : (d) If a number is not divisible by both 3 and 4, it is divisible by 12.Show Answer :
Question : The general form of abc is:
(a) 100a + 10b + c
(b) 100b + 10c + a
(c) 100c + 10a + b
(d) None of the above
Answer :AShow Answer :
Question : The generalised form of 129 is:
(a) 100+90+2
(b) 100+20+9
(c) 100+2+9
(d) None of the above
Answer :BShow Answer :
Question : The usual form of 100 × 7 + 10 × 1 + 8 is:
(a) 108
(b) 708
(c) 718
(d) 170
Answer :CShow Answer :
Explanation: 100 × 7 + 10 × 1 + 8
= 700 + 10 + 8
= 718
Question : Which of the following numbers are not divisible by 5?
(a) 20
(b) 125
(c) 122
(d) 200
Answer : CShow Answer :
Explanation: To be completely divisible by 5, the number should have 0 or 5 at it’s one’s digit place.
Question : Which of the following numbers are divisible by 10?
(a) 99
(b) 45
(c) 110
(d) 75
Answer :CShow Answer :
Explanation: If any number has 0 at its one’s digit place, then it is divisible by 10.
Hence, 110/10 = 11
Question : Which of the following are divisible by 2?
(a) 98
(b) 99
(c) 101
(d) 121
Answer :AShow Answer :
Explanation: If one’s digit of any number is even number, then the number is completely divisible by 2.
Hence, 98/2 = 49
Question : If a number is divisible 9, then it is divisible by:
(a) 6
(b) 7
(c) 3
(d) 11
Answer :CShow Answer :
Explanation: If 99 is divisible by 9 then it is also divisible by 3.
99/9 = 11 and 99/3 = 33
Question : 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 :AShow Answer :
Explanation: 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, …
Since x is single digit, therefore, 6+3 = 9
x=3
Question : The number 2146587 is divisible by:
(a) 7
(b) 3
(c) 11
(d) None of the above
Answer :BShow Answer :
Explanation: 2146587 = 2 + 1 + 4 + 6 + 5 + 8 + 7 = 33
Since, 33 is divisible by 3, hence 2146587 is divisible by 3.
Question : The number 15287 is divisible by:
(a) 3
(b) 7
(c) 9
(d) None of the above
Answer 😀Show Answer :
Question : The general form of 1809 is:
(a) 1 x 1000 + 8 x 100 + 9
(b) 1800 + 9
(c) 1000 + 809
(d) None of the above
Answer : AShow Answer :
1809 = 1 x 1000 + 8 x 100 + 0 x 10 + 9
Question : Which of the following numbers is divisible by 2?
(a) 29
(b) 19
(c) 22
(d) 47
Answer : C. 22Show Answer :
Explanation:
22/2 = 11
Question : Find the value of Q.
Q 1
+2 3
——————
4 4
——————
(a) 1
(b) 2
(c) 3
(d) 4
Answer : B. 2Show Answer :
24 1
+24 3
——————
44 4
——————
Question : Suppose A is a digit. Find the value of A if 31A + 1A3 = 501.
(a) 1
(b) 2
(c) 3
(d) 4
Answer : A. 1Show Answer :
Explanation:
318 + 183 = 501
Question : Which value is divisible by 5?
(a) 36
(b) 90
(c) 26
(d) 81
Answer : B.90Show Answer :
Explanation: At the unit place of 90 we have 0. Hence, as per the divisibility rule for 5, 90 is divisible by 5.
Question : Which of the following is divisible by 9?
(a) 108
(b) 107
(c) 109
(d) 105
Answer : A. 108Show Answer :
Explanation: Sum of all digits of 108 = 1 + 0 + 8 = 9
9 is divisible by 9, thus, 108 is also divisible by 9.
Question : Which of the following is divisible by 3?
(a) 160
(b) 170
(c) 180
(d) 190
Answer : C. 18Show Answer :
Explanation: Sum of digits of 180 = 1 + 8 + 0 = 9
Thus, 9 is divisible by 3.
Question : If the three-digit number 80x is divisible by 9, what is the value of x?
(a) 1
(b) 9
(c) 7
(d) 4
Answer : A. 1Show Answer :
Explanation:
Given, 80x is divisible by 9.
Thus, sum of digits of 80x will also be divisible by 9.
8 + 0 + x is divisible by 9 only if, x = 1
8 + 0 + 1 = 9.
Question : If the three-digit number 6 x 8 is divisible by 9, then what is the value of x?
(a) 1
(b) 2
(c) 3
(d) 4
Answer : D. 4Show Answer :
Explanation: 6 x 8 → 6 + x + 8 = 14 + x
14 + x is divisible by 9
14 + 4 = 18 is divisible by 9
Question : Which number is divisible by 10?
(a) 89
(b) 70
(c) 75
(d) 15
Answer : B. 70Show Answer :
Explanation: 70/10 = 7
