SSC CGL 2024 PYQ — Question 55

SSC CGL - 24 Sep 2024 - Shift 1 • Quantitative Aptitude • Q55

Find the greatest value of ‘k’ in a 6-digit number 6745k2 such that the number is divisible by 3.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e 9.

Divisibility rule of 3: A number id divisible by three when the sum of the digits of the number is divisible by 3.

According to the given question,

Given number = 6745k2

Sum of digits = 6 + 7 + 4 + 5 + k + 2

⇒ 24 + k

The numbers that can take place of k are 0, 3, 6, 9

Hence the required answer is 9.