SSC CPO 2022 PYQ — Question 123

SSC CPO - 9 Nov 2022 - Shift 3 • Quantitative Aptitude • Q123

The greatest four-digit number that is exactly divisible by 15, 24, and 40 is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 9960.

Given that

The greatest four-digit number that is exactly divisible by 15, 24 and 40

According to the question

LCM of (15, 24, 40) = 120

As we know, The largest 4-digit number is 9999

Now, we divide 9999 by 120, the remainder = 39

Hence, the required 4- digit number = 9999 - 39 = 9960