GATE-CS-2015 (Set 1)

Question 1
Didn’t you buy _________ when you went shopping?
A
any paper
B
much paper
C
no paper
D
a few paper
English    GATE-CS-2015 (Set 1)    
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Question 1 Explanation: 
In general, any is used in negative sentences and questions.
Question 2
Which of the following options is the closest in meaning to the sentence below?
She enjoyed herself immensely at the party.
A
She had a terrible time at the party
B
She had a horrible time at the party
C
She had a terrific time at the party
D
She had a terrifying time at the party
English    GATE-CS-2015 (Set 1)    
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Question 2 Explanation: 
Except C, all other options indicate that she didn't enjoy. Horrible and terrible means fearful . Terrific means wonderful. 
Question 3
Given Set A = {2, 3, 4, 5} and Set B = {11, 12, 13, 14, 15}, two numbers are randomly selected, one from each set. What is the probability that the sum of the two numbers equals 16?
A
0.20
B
0.25
C
0.30
D
0.33
Probability    GATE-CS-2015 (Set 1)    
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Question 3 Explanation: 
There are 20 possible pairs from {2, 3, 4, 5} and {11, 12, 13, 14, 15} i.e 5*4=20 Out of which following pairs have sum 16.
(2, 14)
(3, 13)
(4, 12)
(5, 11) 

Probability = Favorable Outcomes/Total Outcomes
Probability = 4/20 = 0.20

Therefore option A is correct
Question 4
Based on the given statements, select the most appropriate option to solve the given question. If two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building?  
Statements:
1. Each step is 3/4 foot high.
2. Each step is 1 foot wide.
A
Statement 1 alone is sufficient, but statement 2 alone is not sufficient
B
Statement 2 alone is sufficient, but statement 1 alone is not sufficient
C
Both statement together are sufficient, but neither statement alone is sufficient
D
Statement 1 and 2 together are not sufficient
General Aptitude    GATE-CS-2015 (Set 1)    
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Question 4 Explanation: 
When we climb from one floor to other, it is the height that matters and not the width of the staircase.Therefore, From statement 1 only, we can figure out that 9 / (3/4) or 12 steps are required.
Question 5
Which one of the following combinations is incorrect?
A
Acquiescence - Submission
B
Wheedle - Roundabout
C
Flippancy - Lightness
D
Profligate - Extravagant
English    GATE-CS-2015 (Set 1)    
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Question 5 Explanation: 
Flippancy     ---> lack of respect or seriousness.
Acquiescence  ---> the reluctant acceptance of 
                   something without protest.
Wheedle      --->  use endearments or flattery to 
                   persuade someone to do something or 
Profligate   ---> recklessly extravagant 
Question 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
General Aptitude    GATE-CS-2015 (Set 1)    
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Question 6 Explanation: 
There are total 44 students. This count can be obtained by adding last 3 entries of any row of given total.
Total marks = 2*21 + 3*15 + 1*11 + 2*23  + 5*31
            = 299
Average marks =  299/44 = 6.795 
Question 7
Select the alternative meaning of the underlined part of the sentence. The chain snatchers took to their heels when the police party arrived.
A
took shelter in a thick jungle
B
open indiscriminate fire
C
took to flight
D
unconditionally surrendered
English    GATE-CS-2015 (Set 1)    
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Question 7 Explanation: 
Both took to flight and took to their heels mean run away.
Question 8
The given statement is following 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:
1. The water supply authority should impose a partial 
   cut in supply to tackle the situation.
2. The government should appeal to all the residents 
   through mass media for minimal use of water.
3. The government should ban the water supply in lower 
   areas
A
Statement 1 and 2 follow
B
Statement 1 and 3 follow
C
Statement 2 and 3 follow
D
All statements follow
General Aptitude    GATE-CS-2015 (Set 1)    
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Question 8 Explanation: 
3rd course of action is not correct. Banning water supply can not solve the problem.
Question 9
The pie chart below has the breakup of the number of students, from different departments in an engineering college for the year 2012. The proportion of male to female students in each department is 5 : 4. There are 40 males in Electrical Engineering. What is the different between the numbers of female students in the Civil department and the female students in the Mechanical department? Q9
A
32
B
16
C
48
D
8
General Aptitude    GATE-CS-2015 (Set 1)    
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Question 9 Explanation: 
Total male students in Electrical = 40 Total female in Electrical = (40 * 4)/5 = 32 Total female in Mechanical = 32/2 = 16 Total female in Civil = [(30 + 42)*3/2]*4/9 = = 72 * 2/3 = 48 The difference is 32.
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
Probability    GATE-CS-2015 (Set 1)    
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Question 10 Explanation: 
1 - (1 - m) (1 - p) (1 - c) = 0.75               -------(1)
(1 - m)pc +  (1 - p)mc + (1 - c)mp + mpc = 0.5   -------(2)
(1 - m)pc +  (1 - p)mc + (1 - c)mp  = 0.4        -------(3)

From last 2 equations, we can derive mpc = 0.1

After simplifying equation 1, we get.
p + c + m - (mp + mc + pc) + mpc = 0.75        
p + c + m - (mp + mc + pc) = 0.65         -------(4)

After simplifying equation 3, we get
pc + mc + mp - 3mpc = 0.4

Putting value of mpc, we get
pc + mc + mp = 0.7

After putting above value in equation 4, we get
 p + c + m - 0.7 = 0.65
 p + c + m = 1.35 = 27/20 
There are 65 questions to complete.

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