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Playing with Numbers — Class 8 CBSE Mathematics MCQs with Solutions
Free Class 8 CBSE Mathematics Playing with Numbers MCQs with step-by-step solutions. Practise online on Prepizo — no login needed.
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Sample questions with solutions
Q1 — easy
In the two-digit number 47, the place value of 4 is:
A. 4
B. 7
C. 40 ✓ Correct
D. 47
Solution: 4 is in the tens place.
Q2 — easy
A number is divisible by 10 if it ends in:
A. 1
B. 5
C. 0 ✓ Correct
D. any even digit
Solution: Multiples of 10 end in 0.
Q3 — easy
Write the general form of a two-digit number with tens digit a and units digit b.
A. ab
B. a + b
C. 10a + b ✓ Correct
D. 10b + a
Solution: Tens digit is worth ten times its value.
Q4 — hard
The number 21y5 is divisible by 9. Find y.
A. 0
B. 1 ✓ Correct
C. 2
D. 3
Solution: 2+1+5 = 8; adding 1 gives 9.
Q5 — hard
A number is divisible by 6 if it is divisible by:
A. 2 and 3 ✓ Correct
B. 2 and 5
C. 3 and 5
D. 3 and 9
Solution: 6 = 2 × 3, and both tests must pass.
Q6 — hard
The sum of the three numbers formed by cyclically rotating the digits of a three-digit number is always divisible by:
A. 9
B. 11
C. 37 ✓ Correct
D. 13
Solution: The sum equals 111(a+b+c) and 111 = 3 × 37, so 37 always divides it.
Q7 — medium
If the three-digit number 24x is divisible by 3, which digit can x be?
A. 1
B. 3 ✓ Correct
C. 4
D. 5
Solution: Digit sum 2+4+x must be a multiple of 3; x = 3 gives 9.
Q8 — medium
The sum of a two-digit number and the number formed by reversing it is always divisible by:
A. 9
B. 11 ✓ Correct
C. 7
D. 5
Solution: (10a+b) + (10b+a) = 11(a+b).
Q9 — medium
The difference between a two-digit number and its reverse is always divisible by:
A. 5
B. 7
C. 9 ✓ Correct
D. 11
Solution: (10a+b) − (10b+a) = 9(a−b).