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Q.

Identify the least number that should be subtracted from 13601 to get a number exactly divisible by 87.


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a

84

b

86

c

87

d

29 

answer is D.

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Detailed Solution

The given data is the number 13601.
We are required to find the least number that should be subtracted from 13601 to get a number exactly divisible by 87.
87 156 13601   − 87  ¯     490    − 435  ¯    551    −  522  ¯      29  
Thus, the remainder from the above division is 29.
So, we shall subtract this remainder from the original number to get the following.
13601-29=996
Clearly, this new number will leave no remainder as 13572÷87=156  .
So, the required least number that should be subtracted from the original number is 29.
Therefore, the required correct option is 4.
 
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Identify the least number that should be subtracted from 13601 to get a number exactly divisible by 87.