Question

How many of the integers 1, 2, … , 120, are divisible by none of 2, 5 and 7?

• A. 40
• B. 42
• C. 43
• D. 41

Answer 1

Answer: (D)

41

Answer 2

The required answer = $120×\bigg(1-\frac{1}{2}\bigg)×\bigg(1-\frac{1}{5}\bigg)×\bigg(1-\frac{1}{7}\bigg) = 41.14$

Required answer is the integral part of $41.14 =41$

So, the correct option is (D): $41$