The number 2918245 is divisible by which of the following numbers?

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SSC Selection Post 2024 (Higher Secondary Level) Official Paper (Held On: 25 Jun, 2024 Shift 2)
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  1. 3
  2. 9
  3. 11
  4. 12

Answer (Detailed Solution Below)

Option 3 : 11
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Detailed Solution

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Given:

The number 2918245

Formula used:

Divisibility rules for 3, 9, 11, and 12

Calculation:

For 3: Sum of digits = 2 + 9 + 1 + 8 + 2 + 4 + 5 = 31

⇒ 31 is not divisible by 3

For 9: Sum of digits = 31

⇒ 31 is not divisible by 9

For 11: Alternating sum of digits = 2 - 9 + 1 - 8 + 2 - 4 + 5 = -11

⇒ -11 is divisible by 11

For 12: Divisible by both 3 and 4

⇒ 2918245 is not divisible by 3

⇒ 2918245 is not divisible by 4 (last two digits 45)

∴ The correct answer is option (3).

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