SSC Selection Post 2025 PYQ — Question 27

SSC Selection Post - Graduation Level - 29th July 2025 - Shift 3 • Quantitative Aptitude • Q27

Find the least number which leaves remainder 3 when divided by 5, 7, and 8.

Show answer & explanation

Correct answer: B

Explanation

Let the number be x.

When x is divided by 5, 7, and 8, the remainder is 3 in each case.

x − 3 will be completely divisible by 5, 7, and 8.

LCM(5, 7, 8)

= 280

x − 3 = 280

x = 283