Xavier Aptitude Test 2016 Paper

Question : 55 of 103

Marks: +1, -0

In an amusement park along with the entry pass a visitor gets two of the three available rides (A, B and C) free. On a particular day 77 opted for ride A, 55 opted for B and 50 opted for C; 25 visitors opted for both A and C, 22 opted for both A and B, while no visitor opted for both B and C. 40 visitors did not opt for ride A or B, or both. How many visited with the entry pass on that day?

Validate

Solution:

(e) By Venn Diagram

\ {n}(\ {A} \∩{C})=25

\ {n}( {A} \∩{B})=22

∵ 40 visitors did not opt for ride A or B or both and
25 visit only C. So 15 persons visit neither A, nor B nor C.
So Total No. of visitors = 30 + 22 + 25 + 33 + 25 + 15
= 150

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