| The number of integers in between 100 and 600, which are divisible by 4 and 6 both is |
A) 40
B) 42
C) 41
D) 50
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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