Problem Solving

BTGmoderatorLU wrote:Source: Magoosh

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

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

The OA is E

ASIDE: 7/2 = 3 1/2 = 3 + 0.5 = 3.5 Notice that 1 is the remainder when we divide 7 by 2.
23/5 = 4 3/5 = 4 + 0.6 = 4.6 Notice that 3 is the remainder when we divide 23 by 5.
31/4 = 7 3/4 = 7 + 0.75 = 7.75 Notice that 3 is the remainder when we divide 31 by 4.

GIVEN: N/J = 134.08
This means 14/J = 0.08
So, J = 14/0.08 = 175

Answer: E

Cheers,
Brent

BTGmoderatorLU wrote:Source: Magoosh

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

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

The OA is E

We simplify the given equation:

N/J = 134 + 8/100

N/J = 134 + 2/25

Since the remainder is 14, we have:

14/J = 2/25

14*25 = 2J

7*25 = 175 = J

Answer: E