### Question 22

SSC-CGL 2020 Mar 3 Shift 2

If 98x238 is divisible by 11, then what is the value of x?

### Solution in Brief

Sum of numbers in even places is (9 + x + 3) = (12 + x). Sum of numbers in odd places is (8 + 2 + 8) = 18. The difference is (12 + x) - 18 = x - 6. For divisibility by 11 the difference should be 0, 11, 22 . . . we can therefore see that x = 6 is the answer!

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