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Question : The sum of the digits of the least number which when divided by 36, 72, 80 and 88 leaves the remainder 16, 52, 60 and 68, respectively, are:

Option 1: 17

Option 2: 11

Option 3: 14

Option 4: 16


Team Careers360 18th Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

Correct Answer: 16


Solution : In this case, the differences between the divisors and the respective remainders are the same (20) for all four cases.
Therefore, the least number is given by LCM(36, 72, 80, 88) – 20.
The LCM of 36, 72, 80, and 88 is 7920.
Therefore, the least number = 7920 – 20 = 7900
The sum of the digits of this number = 7 + 9 + 0 + 0 = 16
Hence, the correct answer is 16.

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