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GATE | GATE-CS-2015 (Set 1) | Question 10

The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p and c respectively. Of these subjects, the student has 75% chance of passing in at least one, a 50% chance of passing in at least two and a 40% chance of passing in exactly two. Following relations are drawn in m, p and c:
1. p + m + c = 27/20 
2. p + m + c = 13/20
3. (p) × (m) × (c) = 1/10 

(A)

Only relation 1 is true

(B)

Only relation 2 is true

(C)

Relations 2 and 3 are true

(D)

Relations 1 and 3 are true

Answer

Please comment below if you find anything wrong in the above post
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