Question

The number of positive integers less than or equal to $100$, which are not divisible by $2,3$ or $5$, is

• A. $24$
• B. $26$
• C. $29$
• D. $32$

Answer 1

The correct option is B $26$

The numbers are not divisible by $2,3,5.$

$\therefore$ They are all prime numbers.

Out of these, we should omit 2, 3 & 5 i.e 3 numerals and we should add the number 1 in this group.

We know that there are $28$ primes between $1$ to $100.$

So, the total number of such numerals $=28-3+1=26.$