Question

Find out the total number between 1 to 999 that are neither divisible by 8 nor by 12?

Answer 1

Answer:

The total number is 833.

Step-by-step explanation:

Since we want to find out the total number between 1 to 999 that are neither divisible by 8 nor by 12, we need to know:

Numbers that are divisible by 8:

⇒  $\frac{999}{8} = 124$

Numbers that are divisible by 12

⇒ $\frac{999}{12} = 83$

Numbers that are divisible by both 12 and 8, i.e, lcm(12, 8) = 41

Total numbers divisible by 8, 12, but not by 8 and 12:

⇒ 124  +83 - 41 = 166

Then we just need to compute:

999 - 166= 833

Hence, the total number is 833.