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
\(a\) and \(b\) are integers such that \(\frac{a}{b}=3.45\).
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We can set up the equation: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
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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