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Q: A child was told to multiply a certain number by 252 and he got the answer as 677364. If except for the two 7’s all other numbers are correct, what are the correct digits in the answer?
A. 11 B. 22
C. 44 D. 88

Answer and Explanation

Answer:44

Explanation:
 252 × k = 6x x364
6x x364 is divisible by 4 × 7 × 9
Using test of divisibility by 9, we get 6 + x + x + 3 + 6 + 4 is divisible by 9
19 + 2x is divisible by 9
x has to be 4, the number is 644364.

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