Question

What least number must be subtracted from 13,601 to get a number exactly divisible by 87?
A. 25
B. 29
C. 27
D. 23

Answer 1

Hint: Before attempting this question, one should have prior knowledge about the division operation and remember to find the remainder and take 87 as the divisor and 13,601 is the dividend, using the given information will help you to approach the solution of the problem.

Complete step by step answer:
According to the given information, we know that when a number is subtracted by 13601 it gets exactly divisible by 87
We know that to find the required number we have to find the remainder of the 13,601
Now using the division operation to find the remainder
Let 87 be the divisor and 13,601 as the dividend

	156
87	13601
	-87
	490
	-435
	551
	-522
	29

So, we have 156 as the quotient and 29 as a remainder
As we know that when we subtract the number 29 from 13,601 then 13,601 can be exactly divided by the number 87 by 156 times.
Therefore 29 is the required number.

Note: In the above solution we used the term “operation” which can be explained as a method which includes an operand and an operator such as addition operation, subtraction option and division operation as in the above solution we used the division operation where 87 and 18,601 are the operands and operator is the symbol which is used to represent the operation of division i.e. $ \div $.