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Q.

Identify the least number that should be added to 1056 to get a number exactly divisible by 23.


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a

4

b

6

c

8

d

2 

answer is D.

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Detailed Solution

The given data is the number 1056.
We are required to find the least number that should be added to 1056 to get a number exactly divisible by 23.
We shall first divide 1056 by 23 in the following way and note the remainder.
23 45 1056   − 92  ¯     136    − 115  ¯    21  
Thus, the remainder from the above division is 21.
So, we shall subtract this remainder from the number 23 to get the following.
23-21=2
The required divisible number is as follows.
1056+2=1058
Clearly, this new number will leave no remainder as 1058÷23=46  .
So, the required least number that should be added to the original number is 2.
Therefore, the required correct option is 4.
 
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