What is the sume of the numbers between 300 and 400 such that when they are divided by 6 12 and 16 i...........

Quantitative Aptitude (MTS) Number System

What is the sume of the numbers between 300 and 400 such that when they are divided by 6, 12 and 16, it leaves no

remainder?

This questions was previously asked in

SSC MTS 14th October 2021 Shift-1

720

764

586

632

To solve this problem, we need to find numbers between 300 and 400 that are divisible by 6, 12, and 16 without a remainder. Here's a breakdown:

- Finding the Least Common Multiple (LCM):

- The LCM of 6, 12, and 16 is 48.

- Finding the numbers:

- The smallest number between 300 and 400 divisible by 48 is 336 (48 * 7).

- The next number is 384 (48 * 8).

- Sum of these numbers:

- Sum = 336 + 384 = 720

Correct Answer: Option 1, 720

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