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Find the largest 4 digit number that is exactly divisible by 88.
Question

Find the largest 4 digit number that is exactly divisible by 88.

A.

9944

B.

8894

C.

9844

D.

9768

Correct option is A

Given:
We need to find the largest 4-digit number that is exactly divisible by 88.

Concept Used:
To find the largest 4-digit number divisible by a given number, we start from the largest 4-digit number (9999) and find the nearest number that is divisible by the given number.

Solution:

Start with the largest 4-digit number:

Largest 4-digit number = 9999

Find the remainder when 9999 is divided by 88:

Remainder = 9999÷88=559999 \div 88 = 55​​

Subtract the remainder from 9999 to get the largest 4-digit number divisible by 88:

Largest 4-digit number divisible by 88 = 9999 - 55 = 9944

The largest 4-digit number that is exactly divisible by 88 is 9944.

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