2015 · Q103
How many numbers from 1 to 1000 are there which are NOT divisible by any of the digits 2, 3 and 5?
general-mental-abilityquantitative-aptitude
- A166
- B266
- C357
- D366
Explanation
The count of numbers up to 1000 not divisible by 2, 3 or 5 is 1000 x (1/2) x (2/3) x (4/5) = 266.67, i.e., 266 numbers. Hence 266 numbers from 1 to 1000 are not divisible by any of the digits 2, 3 and 5.