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If the 6-digit number 5x423y is divisible by 88. then what is the value of (5x - 8y)?
1. 28
2. 14
3. 16
4. 24

1 Answer

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Correct Answer - Option 4 : 24

Calculation:

To check the divisibility by 88, it should be divisible by 11

Difference of sum of alternative terms should be 0

⇒ 5 + 4 + 3 = x + 2 + y

⇒ x + y = 10

To check the divisibility by 88, it should be divisible by 8

Last three digit should be divisible by 8

23y should be divisible by 8

For least value of y = 2, 23y is divisible by 8

For y = 2 and x = 8

the value of (5x – 8y) = (5 × 8 – 8 × 2)

⇒ 40 – 16 = 24

∴ The value of (5x – 8y) is 24

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