GATE 2015 Electrical Engineering PYQ

Question

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 $$m, p, c:$$
$${ m I}.$$ $$\,\,\,\,\,\,$$ $$p+m+c=27/20$$
$${ m I}{ m I}.$$ $$\,\,\,\,\,\,$$ $$p+m+c=13/20$$
$${ m I}{ m I}{ m I}.$$ $$\,\,\,\,\,\,$$ $$\left( p ight) imes \left( m ight) imes \left( c ight) = 1/10$$

Accepted Answer

Relations $${\rm I}$$ and $${\rm I}$$$${\rm I}$$$${\rm I}$$ are true

Answer

Only relation $${\rm I}$$ is true

Answer

Only relation $${\rm I}$$$${\rm I}$$ is true

Answer

Relations $${\rm I}$$$${\rm I}$$ and $${\rm I}$$$${\rm I}$$$${\rm I}$$ are true