\(a\) and \(b\) are integers such that \(\frac{a}{b}=3.45\).

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Source: Manhattan Prep

\(a\) and \(b\) are integers such that \(\frac{a}{b}=3.45\). If \(R\) is the remainder of \(\frac{a}{b}\), which of the following could NOT be equal to \(R\)?

A. 3
B. 9
C. 36
D. 81
E. 144

The OA is A

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by Scott@TargetTestPrep » Tue May 28, 2019 4:41 pm
BTGmoderatorLU wrote:Source: Manhattan Prep

\(a\) and \(b\) are integers such that \(\frac{a}{b}=3.45\). If \(R\) is the remainder of \(\frac{a}{b}\), which of the following could NOT be equal to \(R\)?

A. 3
B. 9
C. 36
D. 81
E. 144

The OA is A
We can set up the equation:

a/b = 3 + 45/100

a/b = 3 + 9/20

So we see that the remainder of a/b is a multiple of 9, so 3 could not equal R.

Answer: A

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