SSC GD 2023 PYQ — Question 48

SSC GD Constable (English) - 24 Jan 2023 - Shift 3 • Quantitative Aptitude • Q48

What is the least value of 'a' for which the number 638a435 is completely divisible by 3?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 1.

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

According to the given question,

The sum of the digits of the given number = (6 + 3 + 8 + a + 4 + 3 + 5) = 29 + a

The lowest value of a which makes the number divisible by 3 is 1

⇒ 29 + 1 = 30 which is divisible by 3

Hence, the required answer is 1.