SSC CGL 2024 PYQ — Question 70

SSC CGL - 17 Sep 2024 - Shift 3 • Quantitative Aptitude • Q70

If P is a digit such that 6954P is divisible by 11, then P equals:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 2.

A number is divisible by 11 if the difference between the sum of the digits 1 at odd places and the sum of the digits at even places is either 0 or a multiple of 11

Sum of Odd Places = 6 + 5 + P = 11 + P

Sum of Even Places = 9 + 4 = 13

Difference = (11 + P) - 13 = P - 2

If P = 2 then, P - 2 = 0

Therefore, the value of P is 2.