Directions Next two Questions These questions are based on the information given below In a class of...........

Logical Reasoning(Master ) Ranking and ordering

Directions (Next two Questions): These questions are based on the information given below:

In a class of 150 students, 65 play football, 50 play hockey, 75 play cricket, 35 play hockey and cricket, 20 play football and cricket, 42 play football and hockey and 8 play all the three games. Find the number of students who do not play any of these three games.

छोटे Courses बड़े Results

Master Ranking and ordering

Prepare through Micro-courses

Try Now

Explanation:

Given n(F) = 65 , n(H) = 50 , n(C) = 75 , n(F∩C) = 20 , n(H∩C) = 35 , n(F∩H) = 42,
n(F∩H∩C) = 8
And n(U) = 150.
n(F∪H∪C) = n(F) + n(H) + n(C) - n(F∩C) - n(H∩C) - n(F∩H) + n(F∩H∩C)
n(F∪H∪C) = 65 + 50 +75 - 20 - 35 - 42 + 8 = 101
Using venn diagram number of students who do not play any of these three games
= n(U) - n(F∪H∪C)
= 150 - 101 = 49.

Hence, option 4 is the correct answer.