What is the minimum number of apples that must be added to the existing stock of 264 apples so that the total stock can be equally distributed among 6,7 or 8 persons?

A 70
B 72
C 66
D 74

Correct Answer: 72

The least common multiple of 6, 7 and 8 is 168. To distribute the apples among the persons, the number of apples must be multiple of 168. Now, twice of 168 = 168×2 = 336. So, minimum number of apples must be added = 336 - 264 = 72
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