Quantitative Aptitude Ques 341

Question: The number of integers in between 100 and 600, which are divisible by 4 and 6 both is

Options:

A) 40

B) 42

C) 41

D) 50

Show Answer

Answer:

Correct Answer: C

Solution:

  • We know that, Numbers divisible by 4 and 6 will be multiples of the LCM of 4 and 6 i.e. 12. Now, numbers from 1 to 600 divisible by 12 $ =\frac{600}{12}-1=49 $ (minus 1 because 600 is excluded) Now, numbers divisible by 12 from 1 to $ 100=\frac{100}{12}=8 $

$ \therefore $ Numbers divisible by 12 between 100 and 600 $ =49-8=41 $

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