1
GATE CSE 2015 Set 1
+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
+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.

Correctly
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
3
GATE CSE 2015 Set 1
+2
-0.6
The given statement is followed by some courses of action. Assuming the statement to be true, decide the correct option.

Statement:
There has been a significant drop in the water level in the lakes supplying water to the city.

Course of action:
(I) The water supply authority should impose a partial cut in supply to tackle the situation.
(II) The government should appeal to all the residents through mass media for minimal use of water.
(III) The government should ban the water supply in lower areas.

A
Statements I and II follow.
B
Statements I and III follow.
C
Statements II and III follow.
D
All statements follow.
GATE CSE Subjects
Discrete Mathematics
Programming Languages
Theory of Computation
Operating Systems
Digital Logic
Computer Organization
Database Management System
Data Structures
Computer Networks
Algorithms
Compiler Design
Software Engineering
Web Technologies
General Aptitude
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