A bag of n peanuts can be divided into 9

GRE Quant Problem Solving
1

A bag of n peanuts can be divided into 9 smaller bags with 6 peanuts left over. Another bag of m peanuts can be divided into 12 smaller bags with 4 peanuts left over. Which of the following is the remainder when nm is divided by 18?

A. 3
B. 5
C. 6
D. 10
E. 122

I chose n= 15 and m= 16 , so ( 15 x 16) / 18 = 40/3 . So, the reminder is 1. But the answer isn’t in the options. May someone clarifies ?

Source : GMAT CLUB

2

15*16=240
18

18*13=234

240-234=6 (remainder)

I don’t know whether we should convert

it or not.

3

You shouldn’t reduce the fraction when trying to find the remainder.
10/8 has a remainder of 2 while 5/4 has a remainder of 1.
Reducing the fractions only works for quotients.