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stonecold
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GRE 1: Q169 V154
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Its E and here is the logic. we know that if we get remainder 13, b must be at least 14 or greater. Likewise, d must be larger than 12, e.g. 13 or more. So, b*d>13*14 or bd>182, the only answer choice greater than 182 is 196 (E)
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stonecold
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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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?


In this case, we know nothing about the value of a and c as no data is given. Such questions cannot be solved by hit and trial.
only data of b available is b>13. Thus minimum value of b is 14
only data of d available is d> 12. Thus minimum value of b is 13
b*d= 14*13
check the options, it can only be E
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