Venn Diagram Actual Question in CMAT 2023 Slot - 2

Q1. Given below is the diagram which represents various sports played by the students. Based on the diagram find the number of girls who neither play hockey nor football

A 6
B 9
C 8
D 7

EXPLANATION

A

Q2. Out of 400 students who attended a seminar, 240 opted for written exam, 200 opted for presentations, 160 opted for assignments and 20 did not opt for giving any of the three methods of test. 200 students had exactly one of the three methods of test.
How many students opted for exactly two of the three testing methods?
A 140
B 160

C 220
D 170

EXPLANATION

A
20 did not appear for any of the three methods. Hence, the total number of students who appeared in the tests (400-20) = 380.
(240+160+200)=600 students = exactly I + 2 (exactly II) + 3(exactly III) => 2(exactly II) + 3 (exactly III) = 400
Exactly I +exactly II + exactly III = 380 => exactly II + exactly III = 180 => 2(exactly II) + 2(exactly III) = 360 =>
exactly III = 40
Therefore, exactly II = 180-40 = 140. Hence, the correct option is A.