If 4M37094267N is divisible by both 8 and 11, where M and N are single-digit integers, then the values of M and N are:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e M = 5, N = 2
| Understanding | Application |
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The divisibility rule of 11 states that the sum of numbers at odd places minus the sum of numbers at even places is multiple of 11. The divisibility rule of 8 states that the last 3 numbers must be divisible by 8. |
4M37094267N ⇒ (4 + 3 + 0 + 4 + 6 + N) - (M + 7 + 9 + 2 + 7) ⇒ 17 + N - M - 25 = N - M - 8 ⇒ N - M = -3/8 For being 67N to be divisible by 8, N only could be 2 ⇒ M = 5 |