Find the sum of the numbers between 400 and 600 such that when they are divided by 6, 12 and 16, there will be no remainder.

Question

Question

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NTPC CBT-I (Held On: 8 Jan 2021 Shift 2)

Answer 1

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.