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Is 52563744 divisible by 24?Options :A] YesB] NoC] can‘t be determinedD] None of these

Question

Is 52563744 divisible by 24?

Options :
A] Yes
B] No
C] can‘t be determined
D] None of these

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Solution

To determine if a number is divisible by 24, it must be divisible by both 3 and 8 (since 24 is the product of 3 and 8).

Step 1: Check divisibility by 3 A number is divisible by 3 if the sum of its digits is divisible by 3.

For 52563744, the sum of the digits is 5+2+5+6+3+7+4+4 = 36. Since 36 is divisible by 3, the number is divisible by 3.

Step 2: Check divisibility by 8 A number is divisible by 8 if the number formed by the last three digits is divisible by 8.

The last three digits of 52563744 are 744. Since 744 is divisible by 8, the number is divisible by 8.

Since 52563744 is divisible by both 3 and 8, it is also divisible by 24.

So, the answer is A] Yes.

This problem has been solved

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