If the number 5X8146Y is divisible by 88 then what is the value of X ........

Quantitative Aptitude (CHSL) Number System

If the number 5X8146Y is divisible by 88, then what is the value of X?

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SSC CHSL 30th May 2022 Shift-3

To check if 5X8146Y is divisible by 88, it must be divisible by both 8 and 11.

For divisibility by 8:

- Last three digits, 46Y, should be divisible by 8.

- If Y = 4, 464 is divisible by 8.

For divisibility by 11:

- Alternating sum of digits: (5 - X + 8 - 1 + 4 - 6 + Y).

- This should be divisible by 11.

- If X = 3 and Y = 4, alternating sum is 11.

Option 1: X = 3, Y = 4, both conditions satisfied.

Correct Answer: Option 1: X = 3

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