Question 4 the day : August 04, 2003

The question for the day is from the topic Number Systems. The question is about finding the remainder of the division of a number by a factor of a second divisor, given the remainder when the original number is divided by the second divisor

Question
When a number is divided by 36, it leaves a remainder of 19. What will be the remainder when the number is divided by 12?

(1) 10
(2) 7
(3) 192
(4) None of these

Correct Choice is (2) and Correct Answer is 7

Explanatory Answer

Let the number be 'a'.

When 'a' is divided by 36, let the quotient be 'q' and we know the remainder is 19

i.e., and remainder is 19

or a = 36q + 19

when a is divided by 12, we get

or

36q is perfectly divided by 12

Therefore, remainder = 7

11. Number Properties : Products		12. Numbers, Fractions - TANCET '08
13. LCM, Number theory - XAT 2012

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