## Question

**Which of the following number is divisible by 24 ?**

A. 61212

B. 512216

C. 31214

D. 3125832

**Answer:** D

**Solution:**

24 = 3 × 8 where 3 and 8 are co-prime numbers. 3 and 8 are also factors of 24.

**Hence,(1) If a number is divisible by 3 and 8, the number will be divisible by their product 24 also.(2) If a number is not divisible by 3 or 8, it is not divisible by 24**

61212 is not divisible by 8 though it is divisible by 3

=> 61212 is not divisible 24

512216 is not divisible by 3 though it is divisible by 8

=> 512216 is not divisible 24

31214 is not divisible by 3 and 8

=> 31214 is not divisible 24

3125832 is divisible by 3 and 8

=> **3125832 is divisible 24**

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