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When positive integer N is divided by positive integer J, the remainder is 14. If N/J = 134.08, what is value of J?

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Re: When positive integer N is divided by positive integer J, the remainder is 14. If N/J = 134.08, what is value of J?

by swerve » Thu Oct 08, 2020 5:19 pm
BTGmoderatorDC wrote: ↑
Thu Oct 08, 2020 4:07 pm
 When positive integer N is divided by positive integer J, the remainder is 14. If N/J = 134.08, what is value of J?

A. 22
B. 56
C. 78
D. 112
E. 175


OA E

Source: Magoosh
Comparing possible fractional values of .08 and answer choices,
note \(\dfrac{2}{25}\) and \(175\), a multiple of \(25\)
confirming,
\(\dfrac{2}{25} \cdot 175=14\) remainder

\(175\Longrightarrow\)E
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Re: When positive integer N is divided by positive integer J, the remainder is 14. If N/J = 134.08, what is value of J?

by Scott@TargetTestPrep » Mon Oct 12, 2020 4:11 am
BTGmoderatorDC wrote: ↑
Thu Oct 08, 2020 4:07 pm
 When positive integer N is divided by positive integer J, the remainder is 14. If N/J = 134.08, what is value of J?

A. 22
B. 56
C. 78
D. 112
E. 175


OA E

Solution:

We can create the equation:

N/J = 134 + 8/100

N/J = 134 + 2/25

But we are also given that the remainder is 14. In other words, we have:

N/J = 134 + 14/J

Setting 2/25 = 14/J, we have:

2J = 14 x 25

2J = 350

J = 175

Answer: E

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