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The largest four-digit number that is exactly divisible by 83 is:
Question

The largest four-digit number that is exactly divisible by 83 is:

A.

9936

B.

9960

C.

9966

D.

9954

Correct option is B

Given:

We are tasked with finding the largest four-digit number that is exactly divisible by 83.

Solution:

The largest four-digit number is 9999.

Now, divide 9999 by 83:

9999÷83120.479999 \div 83 \approx 120.47

The greatest integer quotient is 120 (since the decimal part is discarded).

83×120=996083 \times 120 = 9960

Thus, the largest four-digit number that is exactly divisible by 83 is 9960.

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