If the number 953XY0 is divisible by both 3 and 11, then in the hundredth and tenth places, the non-zero digits are, respectively:

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Question

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SSC CHSL Memory Based Test (Held on: 8 August 2023 Shift 1)

Answer 1

Given:

The number 953XY0 is divisible by both 3 and 11

Concept used:

If a number is completely divisible by 3 if the sum of its digits is divisible by 3.

If the difference of the sum of alternative digits of a number is 0 or divisible by 11, then that number is divisible by 11 completely.

Calculation:

9 + 5 + 3 + X + Y + 0 = 17 + X + Y is divisible by 3

So, the possible value of X + Y could be 4, 7, 10, 13, 16

Now from options only Option 2 and Option 3 satisfy it

As 7 + 3 = 10

Now,

Option 2

X = 7, Y = 3

So, (9 + 3 + 3) - (5 + 7 + 0) = 3 not satisfying

Option 3

X = 3, Y = 7

So, (9 + 3 + 7) - (5 + 3 + 0) = 11 satisfying

So the number is 953370

∴ The non-zero digits are 3, 7.

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