7X2 is a three-digit number in which X is a missing digit. If the number is…
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7X2 is a three-digit number in which X is a missing digit. If the number is divisible by 6, the missing digit is.
- A.
4
- B.
3
- C.
7
- D.
5
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Show answer & explanation
Correct answer: B
Answer: 3
Explanation:
A number divisible by 6 must be divisible by both 2 and 3.
The given number has last digit 2, so it is even and thus divisible by 2 regardless of X.
For divisibility by 3, the sum of digits 7 + X + 2 = 9 + X must be divisible by 3.
Try X = 3: 9 + 3 = 12, which is divisible by 3. Therefore the number 732 is divisible by both 2 and 3, so it is divisible by 6.