Question : What is the least number which, when divided by 60, 84, and 96, leaves remainders of 28, 52, and 64, respectively?
Option 1: 3318
Option 2: 3360
Option 3: 3392
Option 4: 3328
Correct Answer: 3328
Solution :
(60 – 28) = 32; (84 – 52) = 32; (96 – 64) = 32
LCM(60, 84, 96) = 3360
Required number = LCM(60, 84, 96) – 32 = 3360 – 32 = 3328
Hence, the correct answer is 3328.
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