Which of the following number is exactly divisible by 24?

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Bihar STET Paper I: Hindi (9th Sept. 2020 - Shift 1)
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  1. 3125736
  2. 35718
  3. 537804
  4. 63810

Answer (Detailed Solution Below)

Option 1 : 3125736
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Detailed Solution

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Calculation:

To check if a number is divisible by 24, we need to ensure it is divisible by both 3 and 8. 

1. 3125736:

Divisibility by 3: Sum of digits = 3 + 1 + 2 + 5 + 7 + 3 + 6 = 27, which is divisible by 3.

Divisibility by 8: The last three digits are 736, which is divisible by 8.

2. 35718:

Divisibility by 3: Sum of digits = 3 + 5 + 7 + 1 + 8 = 24, which is divisible by 3.

Divisibility by 8: The last three digits are 718, which is not divisible by 8.

3. 537804:

Divisibility by 3: Sum of digits = 5 + 3 + 7 + 8 + 0 + 4 = 27, which is divisible by 3.

Divisibility by 8: The last three digits are 804, which is not divisible by 8.

4. 63810:

Divisibility by 3: Sum of digits = 6 + 3 + 8 + 1 + 0 = 18, which is divisible by 3.

Divisibility by 8: The last three digits are 810, which is not divisible by 8.

Based on the analysis, only the number 3125736 is divisible by both 3 and 8, so it is exactly divisible by 24.

∴ The number is exactly divisible by 24 is 3125736. 

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