Quantitative Aptitude Ques 468

Question: The least number which when divided by 24, 32 and 36 leaves the remainders 19, 27 and 31 respectively, is

Options:

A) 283

B) 288

C) 293

D) 299

Show Answer

Answer:

Correct Answer: A

Solution:

  • Here, $ 24-19=5 $ $ 32-27=5 $ and $ 36-31=5 $ LCM of (24, 32, 36)

$ \therefore $ $ LCM=2\times 2\times 2\times 3\times 4\times 3=288 $

$ \therefore $ Required number $ =288-5=283 $

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