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Question

Which of the following numbers is divisible by 7?

A
178
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B
671
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C
533
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D
623
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Solution

The correct option is D 623
The divisibility rule for 7 states that if a number is divisible by 7 ,then the result obtained by subtracting double the last digit from the remaining number should be 0 or divisible by 7.

623:
(3 × 2) = 6 and 62 - 6 = 56. 56 is divisible by 7.
Hence 623 is divisible by 7.

178:
(8 × 2) = 16 and 17 - 16 = 1.
Hence 178 is not divisible by 7.

671:
(1 × 2) = 2 and 67 - 2 = 65.
65 is not divisible by 7.
Hence 671 is not divisible by 7.

533:
(3 × 2) = 6 and 53 - 6 = 47. 47 is not divisible by 7. Hence 533 is not divisible by 7.

623 is the only number among the given which is divisible by 7.

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