stonecold wrote:

When a is divided by b the remainder is 13.When c is divided by d the remainder is 12.

If a,b,c,d are all positive integers then which of these may be the value of b*d?

1)100

2)121

3)144

4)169

5)196

Recall that the remainder from any division of positive integers must be less than the divisor.

Since, when a is divided by b, the remainder is 13, then b must be at least 14.

Since, when c is divided by d, the remainder is 12, then d must be at least 13.

Thus, b*d is least 14*13 = 182. We see that only 196 could be the value of b*d.

Answer: E/5

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