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.
BETA
