The remainder of the division of a number by 63 is 27. What

Question

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

LighthousePrep · Answer

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.

alphonsa · Answer

Actually this problem didnt come with any options.It was given for conceptual understanding.

Considering that no options are given, how would you solve this question?

PareshGmat · Answer

7 is a multiple of 63;

so if dividing by 63 gives a remainder 27, then continue dividing 27 by 7

27 divided by 7 gives remainder 6

Answer = 6 = C

This does not seem to be Difficulty: 600-700 Level question

Bunuel · Answer

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

Show Answer

Official Answer

C

Answer: C.

email2vm · Answer

sol:

let the required number be x

x=63a+27

rem (x/7)= rem (63a+27)/7
 = rem (63a/7) + rem (27/7)
 = 0 + 6
 =6

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The remainder of the division of a number by 63 is 27. What

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The remainder of the division of a number by 63 is 27. What

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