When the positive integer \(n\) is divided by \(25\), the remainder is \(13\). What is the value of \(n\)?
1) \(n < 100\)
2) When \(n\) is divided by \(20\), the remainder is \(3\).
The OA is C
Source: GMAT Prep
When the positive integer \(n\) is divided by \(25\), the
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Using Statement 1, n can be 13, 38, 63, and 88.
Using Statement 2 alone, we'll have an infinite number of values of n, separated by 100, the LCM of 25 and 20.
Using both Statements, n must be 63, and the answer is C.
Using Statement 2 alone, we'll have an infinite number of values of n, separated by 100, the LCM of 25 and 20.
Using both Statements, n must be 63, and the answer is C.
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