GATE-CS-2015 (Set 1)

Question 1
Didn’t you buy _________ when you went shopping?
Tick
any paper
Cross
much paper
Cross
no paper
Cross
a few paper


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.
Cross
She had a terrible time at the party
Cross
She had a horrible time at the party
Tick
She had a terrific time at the party
Cross
She had a terrifying time at the party


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?
Tick
0.20
Cross
0.25
Cross
0.30
Cross
0.33


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.
Tick
Statement 1 alone is sufficient, but statement 2 alone is not sufficient
Cross
Statement 2 alone is sufficient, but statement 1 alone is not sufficient
Cross
Both statement together are sufficient, but neither statement alone is sufficient
Cross
Statement 1 and 2 together are not sufficient


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?
Cross
Acquiescence - Submission
Tick
Wheedle - Roundabout
Cross
Flippancy - Lightness
Cross
Profligate - Extravagant


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?
Cross
2.290
Cross
2.970
Tick
6.795
Cross
8.795


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.
Cross
took shelter in a thick jungle
Cross
open indiscriminate fire
Tick
took to flight
Cross
unconditionally surrendered


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
Tick

Statement 1 and 2 follow

Cross

Statement 1 and 3 follow

Cross

Statement 2 and 3 follow

Cross

All statements follow



Question 8-Explanation: 

Here's a detailed explanation for why option (A) "Statement 1 and 2 follow" is the correct answer:
Statement: There has been a significant drop in the water level in the lakes supplying water to the city.
Course of action: The water supply authority should impose a partial cut in supply to tackle the situation. This course of action is appropriate because when there is a significant drop in the water level in the lakes supplying water to the city, it becomes necessary to conserve and manage the available water resources effectively. Imposing a partial cut in the water supply can help ensure that the available water is distributed efficiently and sustainably.
Course of action: The government should appeal to all the residents through mass media for minimal use of water. This course of action is also reasonable because when there is a significant drop in the water level, it is important to raise awareness among the residents about the need for water conservation. By appealing through mass media, the government can effectively communicate the urgency and encourage residents to use water minimally and responsibly.
Course of action: The government should ban the water supply in lower areas. This course of action is not suitable based on the given statement. The statement mentions a significant drop in the water level in the lakes supplying water to the city, but it does not specify that the situation is critical enough to warrant a complete ban on water supply in specific areas. A complete ban on water supply in lower areas would be a drastic measure and may not be necessary or appropriate at this stage.
Considering the information provided in the statement, options (B), (C), and (D) are not correct because they include course of action 3, which is not supported by the given statement.
Therefore, the correct answer is (A) "Statement 1 and 2 follow" as both courses of action are reasonable and relevant in the given situation

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
Tick
32
Cross
16
Cross
48
Cross
8


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 
Cross
Only relation 1 is true
Cross
Only relation 2 is true
Cross
Relations 2 and 3 are true
Tick
Relations 1 and 3 are true


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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  • Last Updated : 11 Oct, 2021

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