What is the sume of the numbers between 300 and 500 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 500 such that when they are divided by 6, 12 and 16, it leaves no

remainder?

This questions was previously asked in

SSC MTS 13th October 2021 Shift-1

1586

1632

1764

1618

To solve this, find numbers between 300 and 500 divisible by the least common multiple (LCM) of 6, 12, and 16.

- LCM Calculation:

- 6 = 2 x 3

- 12 = 2² x 3

- 16 = 24

- LCM = 24 x 3 = 48

- Numbers divisible by 48 between 300 and 500:

- Start from 48 x 7 = 336

- Up to 48 x 10 = 480

- Numbers: 336, 384, 432, and 480

- Sum of these numbers:

- 336 + 384 + 432 + 480 = 1632

- Correct Option:

- Option 2: 1632

Submit Error