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

Sorted by Subject
Algebra, Arithmetic & Geometric Progressions, Averages and Mean, Clocks and Calendars, Data Sufficiency, English Grammar, Function, Geometry, Interest, Inequality, Mensuration, Mixtures & Alligations, Number System and Theory, Percentages, Permutation & Combination, Pipes & Cisterns And Work & Time, Probability, Profit & Loss, Races, Ratio, Proportion, Set Language and Theory, Speed, Time & Distance, Trigonometry, Miscellaneous, General Knowledge.

Sorted by Date

2003
January 2003, February 2003, March 2003, April 2003, May 2003, June 2003, July 2003, August 2003, September 2003, October 2003, November 2003.

2004
February 2004, March 2004, April 2004, May 2004, June 2004, July 2004, August 2004, November 2004, December 2004.