Find the greatest 4-digit number which leaves remainder 5 when divided by 10, 15, 18, 20 & 25 

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SSC GD Constable Memory Based Test (17 Jan 2023 Shift 1)
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  1. 9000
  2. 9999
  3. 9905
  4. 9995

Answer (Detailed Solution Below)

Option 3 : 9905
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Detailed Solution

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Calculation:

⇒ L.C.M of (10, 15, 18, 20 & 25) = 900

⇒ Greatest 4-digit number divisible by 900 is 9900

For the remainder 5, we have to add 5 in the greatest 4-digit number

⇒ 9900 + 5

⇒ 9905

∴ The answer is 9905.

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