In a class containing 80 students, labeled 1 to 80, every student with an odd number chooses Cricket, every student whose number is a multiple of 5 chooses Football, and every student whose number is a multiple of 7 chooses Hockey. How many students choose none of these three games?

Question

Accepted Answer

28. Odd numbers (Cricket), multiples of 5 (Football) and multiples of 7 (Hockey) are chosen. A student picks none only if the number is even and not a multiple of 5 or 7. Counting 1-80 gives 28 such students.

In a class containing 80 students, labeled 1 to 80, every student with an odd number chooses Cricket, every student whose number is a multiple of 5 chooses Football, and every student whose number is a multiple of 7 chooses Hockey. How many students choose none of these three games?

Solution

Related JEE Main Maths questions