1
GATE CSE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6
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 :

$$\left( I \right)\,p + m + c = {{27} \over {20}}$$

$$\left( {II} \right)\,p + m + c = {{13} \over {20}}$$

$$\left( {III} \right)\,\left( p \right) \times \left( m \right) \times \left( c \right) = {1 \over {10}}$$
A
Only relation $$I$$ is true
B
Only relation $$II$$ is true
C
Relations $$II$$ and $$III$$ are true.
D
Relations $$I$$ and $$III$$ are true.
2
GATE CSE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6

The number of students in a class who have answered correctly, wrongly, or not attempted each question in an exam, are listed in the table below. The marks for each question are also listed. There is no negative or partial marking.

Q No Marks Answered
Correctly
Answered
Wrongly
Not
Attempted
1 2 21 17 6
2 3 15 27 2
3 1 11 29 4
4 2 23 18 3
5 5 31 12 1

What is the average of the marks obtained by the class in the examination?

A
2.290
B
2.970
C
6.795
D
8.795
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