What least number should be subtracted from 13601 such that the remainder is divisible by 87 ? Options : 27 28 29 30
Question
What least number should be subtracted from 13601 such that the remainder is divisible by 87 ?
Options :
- 27
- 28
- 29
- 30
Solution
To solve this problem, we need to find the remainder when 13601 is divided by 87.
Step 1: Divide 13601 by 87.
13601 ÷ 87 = 156.33
This means that 13601 is not completely divisible by 87 and leaves a remainder.
Step 2: To find the remainder, subtract the whole number part of the quotient (156) multiplied by the divisor (87) from the dividend (13601).
13601 - (156*87) = 29
So, the remainder is 29.
Step 3: The least number that should be subtracted from 13601 such that the remainder is divisible by 87 is the remainder itself, which is 29.
So, the answer is 29.
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