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Q.

Identify the largest 6-digit number exactly divisible by 16.


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a

999980

b

999982

c

999984

d

600020 

answer is C.

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Detailed Solution

The given data is the number 16.
We know that the largest 6-digit number =999999
We shall first divide 999999 by 16 in the following way and note the remainder.
16 62499 999999 96 ¯ 39 32 ¯ 79 64 ¯ 159 144 ¯ 15  
Thus, the remainder from the above division is 15.
So, we shall subtract this remainder from the original number to get the following.
999999-15
=999984
Clearly, this new number will leave no remainder as 999984÷16=62499  .
So, the required largest 6-digit number exactly divisible by 16 is 999984.
Therefore, the required correct option is 3.
 
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