If a five digit number 247xy is divisible by 3, 7 and 11, then what is the value of (2y - 8x)?

This question was previously asked in
SSC CGL 2020 Tier-I Official Paper 2 (Held On : 13 Aug 2021 Shift 2)
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  1. 9
  2. 17
  3. 6
  4. 11

Answer (Detailed Solution Below)

Option 3 : 6
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Detailed Solution

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Given:

If a five digit number 247xy is divisible by 3, 7 and 11

Calculation:

LCM of 3, 7, 11 is 231

According to question

Largest possible value of 247xy is 24799

when we divided 24799 by 231 we get 82 as a remainder

Number = 24799 – 82

⇒ 24717

Now x = 1 and y = 7

(2y – 8x) = (2 × 7 – 8 × 1)

⇒ (14 – 8)

⇒ 6

∴ Required value is 6

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