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Q.

The largest 4-digit number divisible by 16 is


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a

9999

b

1000

c

9984

d

9948 

answer is C.

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Detailed Solution

The given data is the number 16.
We are required to find the largest 4-digit number divisible by 16.
We solve the problem in the following way.
We know that the largest 4-digit number is 9999.
We shall first perform the long division in the following way.
16 624 9999    − 96  ¯     39    −32  ¯       79      −64  ¯     15  
Thus, the remainder from the above division is 15.
So, we shall subtract this remainder from the original number to get the following.
9999-15=9984
Clearly, this new number will leave no remainder as 9984÷16=624  .
So, the required largest 4-digit number divisible by 16 is 9984
Therefore, the required correct option is 3.
 
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The largest 4-digit number divisible by 16 is