alphonsa wrote:

The remainder of the division of a number by 63 is 27. What will be the remainder when that number is divided by 7?

A) 4

B) 5

C) 6

D) 7

E) 8

Please explain

Source: 4gmat

The easiest way to solve this question is by plugging in a number. Here are the steps I followed:

1) Choose a number X that when divided by 63 gives you 27 as a remainder. So I did x = 63 + 27 = 90. (90/63 = 1R27)

2) Divide that number by 7. 90/7 = 12R6

Since the remainder is 6, the correct answer is choice C.

These types of problems typically come in a data sufficiency type question, in which case you would have tried to validate the pattern by trying one or two more numbers. But since the question here is very straight forward, you don't need to do any more work.