Question

What is the sum of the numbers between 400 and 500 such that when they are divided by 6, 12 and 16, it leaves no remainder?

• A. 912
• B. 1024
• C. 960
• D. 480

Answer 1

Answer:

A. 912

LCM (6, 12, 16) = 48k The required numbers will be in the form of 48k, where k is a natural number. k = 9, 48k = 48 × 9 = 432 k = 10, 48k = 48 × 10 = 480 Only 432 and 480 is the number that are between 400 and 500, and also divisible by 6, 12 and 16 Sum = 432 + 480 = 912