Correct Answer - Option 2 : 2016
Given:
We need to find the sum of numbers in the range of 400 - 600 such that they are divisible by each 6, 12 and 16.
Concept:
LCM (Lowest Common Multiple)
Calculation:
LCM (6, 12, 16) = 48
The required numbers will be in the form of 48k, where k is a natural number.
For k = 9, 48k = 48 × 9 = 432
For k = 10, 48k = 48 × 10 = 480
For k = 11, 48k = 48 × 11 = 528
For k = 12. 48k = 48 × 12 = 576
∴ The sum of these 4 numbers that is, 432, 480, 528, and 576 is 2016.
