GATE (GA) Textile 2011 Question Paper Solution | GATE/2011/GA/62

Question 62 (General Aptitude)

In a class of 300 students in an M.Tech programme, each student is required to take at least on subject from the following three:

M600: Advanced Engineering Mathematics
C600: Computational Methods for Engineers
E600: Experimental Techniques for Engineers

The registration data for the M.Tech class shown that 100 students have taken M600, 200 students have taken C600, and 60 students have taken E600. What is the maximum possible number of students in the class who have taken all the above three subjects?

(A)20
(B)30
(C)40
(D)50
[Show Answer]

Option B is correct.

360-2(p+q+r)+3S=300

For max, p+q+r=0

360+3S=300

3S=360-300

3S=60
S=20
i.e no.of students who have taken all the above three subjects=20 (Ans)

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