Find the sum of the digits of the smallest 6-digit number divisible by 18, 24 and 25. 

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SSC GD Constable (2022) Official Paper (Held On : 12 Jan 2023 Shift 3)
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  1. 12
  2. 10
  3. 15
  4. 9

Answer (Detailed Solution Below)

Option 4 : 9
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Detailed Solution

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Concept Used:

To find the smallest 6-digit number divisible by 18, 24, and 25,

we need to find their least common multiple (LCM).

Calculation:

LCM of 18, 24, and 25 = 1800

The smallest 6-digit number is 100000.

The smallest multiple of 1800 greater than or equal to 100000 is 100800.

Sum of the digits of 100800 = 1 + 0 + 0 + 8 + 0 + 0 = 9

Therefore, the sum of the digits of the smallest 6-digit number divisible by 18, 24, and 25 is 9.

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