XAT 2015 Question 35
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XAT
From the given information, we can draw the venn diagram as follows.
The total number of electives = 20
b + 2a + 3x + 1 = 20
b + 2a + 3x = 19
We are given that only G-type electives is 2. Thus, b = 2.
Since a < b, the only possible value of a = 1.
Thus, 2 + 2(1) + 3x = 19
x = 5
Thus, the venn diagram becomes.
Vijay is interested in J and wants to avoid Q. Thus, he can participate in J and JG subjects.
Raj is interested in G followed by Q. Thus, he can participate in G, Q, and GQ electives.
Since there is no common region between the interests of Vijay and Raj, there is a possibility of them avoiding each other.
Hence, the answer is option A.