SSC CGL 2022 PYQ — Question 63

SSC CGL - 03 Dec 2022 - Shift 4 • Quantitative Aptitude • Q63

Find the largest number of 3 digits divisible by 4 and 7.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 980.

Given:

The numbers are 4 and 7.

Explanation:

The largest 3-digit number = 999.

Now, the number that must be divisible by both 4 and 7 should also be divisible by LCM of 4 and 7.

So, LCM of (4, 7) = 28

Dividing 999 by 28, we get

999 ÷ 28 gives remainder as 19.

So, the number to be divisible by 28 is 999 - 19 = 980.

Hence, the largest 3-digit number that is divisible by both 4 and 7 is 980.