Find the sum of the numbers between 550 and 700 such that when they are divided by 12, 16, and 24, leave a remainder of 5 in each case.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 1887.
Given that
The sum of the numbers between 550 and 700 such that when they are divided by 12, 16, and 24, leave a remainder of 5 in each case.
According to the question
LCM of (12, 16, 24) = 48
Multiple of 48, which is greater than 550 and the remainder is 5
First number = 48 × 12 + 5 = 581
Second number = 48 × 13 + 5 = 629
Third number = 48 × 14 + 5 = 677
Hence, the sum of the numbers = 581 + 629 + 677 = 1887