Question

What least number must be subtracted from 13601, so that the remainder is divisible by 87?
A. 23
B. 31
C. 29
D. 37
E. 49

Answer 1

Hint: In order to solve this problem you need to know that when the number a is divided by a number b and leaves the remainder the c then c is the least number when subtracted from b will be completely divided from the number a. Knowing this will solve your problem.

Complete step-by-step answer:
We need to tell the least number must be subtracted from 13601, so that the remainder is divisible by 87.
We also know that when the number a is divided by a number b and leaves the remainder the c then c is the least number when subtracted from b will be completely divided from the number a.
So, when we divide 13601 by 87 then we will get the number we will get some remainder subtracting that remainder from 13601 will give you the number which is completely divided by 81. And the remainder is the answer itself.
So we do,
 $ \Rightarrow $ 13601 $ \div $ 87 will give you the quotient 156 and remainder 29.
So, 29 is the least number subtracted from 13601 to get the number which is completely divisible by 87.
So, the correct answer is “Option C”.

Note: When you get to solve such problems always remember that the remainder is the answer itself and remainder only is the least number. The division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing. The division is an operation inverse of multiplication.