Quantitative Aptitude Ques 1420

Question: What is the least number which, when divided by 5, 6, 7 and 8 gives the remainder 3 but is divisible by 9?

Options:

A) 1463

B) 1573

C) 1683

D) 1793

Show Answer

Answer:

Correct Answer: C

Solution:

  • LCM of $ 5, $ $ 6, $ $ 7, $ $ 8=35\times 24=840 $

$ \therefore $ Required number $ 840x+3, $ such that it is exactly divisible by 9. By Hit and Trial, For $ x=2, $ it is divisible by 9.

$ \therefore $ Required number $ =840x+3 $ $ =840\times 2+3=1683 $ (these types of questions can be solved with the help of given options) So, out of all the given options, only 1683 is divisible by 9.

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