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Get access to the detailed solutions to the previous year's questions asked in XAT exam.
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.