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Q.

Identify the least number that should be subtracted from 10004 to get a number exactly divisible by 12.


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a

4

b

6

c

8

d

20 

answer is C.

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Detailed Solution

The given data is the number 10004.
We are required to find the least number that should be subtracted from 10004 to get a number exactly divisible by 12.
12 833 10004   − 96  ¯       40    −    36  ¯    44    −  36  ¯      8  
Thus, the remainder from the above division is 8.
So, we shall subtract this remainder from the original number to get the following.
10004-8=996
Clearly, this new number will leave no remainder as 9996÷12=833  .
So, the required least number that should be subtracted from the original number is 8
Therefore, the required correct option is 3.
 
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Identify the least number that should be subtracted from 10004 to get a number exactly divisible by 12.