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

[BTGmoderatorDC]

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

[swerve]

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

[Scott@TargetTestPrep]

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