SSC MTS 2026 PYQ — Question 16

SSC MTS - 6 Feb 2026 - Shift 2 • Quantitative Aptitude • Q16

39P6 is divisible by 3. Which of the following cannot be the value of P?

Show answer & explanation

Correct answer: D

Explanation

Given:

Number = 39P6, divisible by 3.

According to the formula:

If the sum of the digits of a number is divisible by 3, then the number itself is divisible by 3.

Sum of digits = 3 + 9 + P + 6 = 18 + P

18 is divisible by 3.

Therefore, P must also be divisible by 3.

Possible values ​​of P = 0, 3, 6, 9

Values ​​that are not possible = 1, 2, 4, 5, 7, 8