If the 6 digit numbers x35624 and 1257y4 are divisible by 11 and 12 respectively then what is the va...........

Quantitative Aptitude (CGL) Number System

If the 6-digit numbers x35624 and 1257y4 are divisible by 11 and 12, respectively, then what is the value of (5x - 2y ) ?

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SSC CGL 4th March 2020 Shift-2

- To check divisibility by 11, for x35624: the alternating sum is x - 3 + 5 - 6 + 2 - 4. This equals x - 6.

- x - 6 should be divisible by 11, so x can be 6 or 17. However, x must be a digit, so x = 6.

- For 1257y4 to be divisible by 12, since it's even, check divisibility by 3. Sum its digits: 1 + 2 + 5 + 7 + y + 4 = 19 + y.

- 19 + y must be divisible by 3. Possible digit for y is 2, because 19 + 2 = 21, which is divisible by 3.

- Calculate 5x - 2y: 5(6) - 2(2) = 30 - 4 = 26.

Option: 1 - 26

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