When a positive integer n is divided by 32, the reminder is 12. What

Question

When a positive integer n is divided by 32, the reminder is 12. What is the remainder when n is divided by 8 ?

A. 0
B. 1
C. 2
D. 3
E. 4

manan subba · Answer

n=32a+12

n/8 will leave remainder as 4 
hence E

imeanup · Answer

n = 32q+12

\frac{n}{8} = \frac{32q+12}{8 }= 4q+\frac{12}{8}

\frac{12}{8}=8*1+4

Remainder  =4

Ans E

chetan2u · Answer

Since 8 is a factor of 32, 8 will also leave the same remainder of 12. 
But as 12 is bigger than the divisor 8, the remainder will be 12-8=4.

OR

n=32q+12=32q+8+4=8(4q+1)+4
So 4 is the remainder.

BrushMyQuant · Answer

When a positive integer n is divided by 32, the reminder is 12.

Theory: Dividend = Divisor*Quotient + Remainder

n -> Dividend
32 -> Divisor
a -> Quotient (Assume)
12 -> Remainders
=> n = 32*a + 12 = 32a + 12

What is the remainder when n is divided by 8 ?

n = 32a + 12 = 8*4a + 8 + 4 = 8*(4a + 1) + 4
=> n when divided by 8 gives 4a + 1 as quotient and 4 as remainder

So,  Answer will be E 
Hope it helps!

Playlist on Solved Problems on Remainders  here

Watch the following video to MASTER Remainders

https://www.youtube.com/watch?v=P0S6j2uTaj4

Prep Toolkit