GATE-CS-2016 (Set 2)

Question 1

The man who is now Municipal Commissioner worked as ______________.

• A. the security guard at a university
• B. a security guard at the university
• C. a security guard at university
• D. the security guard at the university

Answer: (B)

GATE-CS-2016 (Set 2) English
Discuss it

University considered as an organization that's why article the used before university. And Post of security is a general post, so article a has been used for security guard. So, option (B) is true. This explanation has been contributed by Mohit Gupta.

Question 2

Nobody knows how the Indian cricket team is going to cope with the difficult and seamer-friendly wickets in Australia. Choose the option which is closest in meaning to the underlined phrase in the above sentence.

• A. put up with
• B. put in with
• C. put down to
• D. put up against

Answer: (A)

GATE-CS-2016 (Set 2)
Discuss it

put up with - is a phrasal verb
Meaning : to accept somebody/something that is annoying, unpleasant without complaining

This explanation has been contributed by Mohit Gupta.

Question 3

Find the odd one in the following group of words.

mock, deride, praise, jeer 

• A. mock
• B. deride
• C. praise
• D. jeer

Answer: (C)

GATE-CS-2016 (Set 2) English
Discuss it

Meanings mock : tease deride : poke/laugh at praise : gratitude jerk : fool So except praise, all others are describing negative things. This explanation has been contributed by Mohit Gupta.

Question 4

Pick the odd one from the following options.

• A. CADBE
• B. JHKIL
• C. XVYWZ
• D. ONPMQ

Answer: (D)

GATE-CS-2016 (Set 2) General Aptitude
Discuss it

In the given options apart from Option D, characters at odd positions are consecutive alphabets in increasing order and similarly characters at even positions also are consecutive alphabets in increasing order. Option A: CADBE C,D,E(characters at 1st,3rd and 5th positions are consecutive alphabets in increasing order) similarly A,B(characters at 2nd and 4th positions are consecutive alphabets in increasing order). Option D: ONPMQ O,P,Q(characters at 1st,3rd and 5th positions are consecutive alphabets in increasing order) but N,M(characters at 2nd and 4th positions are not increasing order)

Question 5

In a quadratic function, the value of the product of the roots (α, β) is 4. Find the value of

• A. A
• B. B
• C. C
• D. D

Answer: (B)

GATE-CS-2016 (Set 2)
Discuss it

(α^n + β^n)/ (1/α^n +1/β^n) (α^n + β^n)/ (β^n + α^n )*(α^n * β^n) (α^n * β^n) αβ^n 4^n This explanation has been contributed by Dharmesh Singh.

Question 6

Among 150 faculty members in an institute, 55 are connected with each other through Facebook ® and 85 are connected through WhatsApp ® . 30 faculty members do not have Facebook ® or WhatsApp ® accounts. The number of faculty members connected only through Facebook ® accounts is ______________.

• A. 35
• B. 45
• C. 65
• D. 90

Answer: (A)

GATE-CS-2016 (Set 2) General Aptitude
Discuss it

Suppose n(F) : number of faculty connected through facebook n(W) : number of faculty connected through whatsapp n(F ∪ W) : number of faculty connected through either facebook and whatsapp n(F ∩ W) : number of faculty connected through both facebook and whatsapp n(F ∪ W) = (total faculty - faculty not connected to anything) = (150-30) = 120 From number theory: n(F ∪ W) = n(F) + n(W) - n(F ∩ W) n(F) - n(F ∩ W) = n(F ∪ W) - n(W) n(F) - N(F ∩ W) = (120-85) = 35 n(F)- n(F ∩ W) is the faculty that has only facebook account, Hence answer is 35. This explanation has been contributed by Dharmesh Singh.

Question 7

Computers were invented for performing only high-end useful computations. However, it is no understatement that they have taken over our world today. The internet, for example, is ubiquitous. Many believe that the internet itself is an unintended consequence of the original invention. With the advent of mobile computing on our phones, a whole new dimension is now enabled. One is left wondering if all these developments are good or, more importantly, required. Which of the statement(s) below is/are logically valid and can be inferred from the above paragraph? (i) The author believes that computers are not good for us. (ii) Mobile computers and the internet are both intended inventions

• A. (i) only
• B. (ii) only
• C. both (i) and (ii)
• D. neither (i) nor (ii)

Answer: (D)

GATE-CS-2016 (Set 2) General Aptitude
Discuss it

ubiquitous - everywhere unintended - unplanned

--> Author has not said anything against internet and mobile computing 
but is talking about the surprising usage of these.

"Many believe that the internet itself is an unintended consequence of 
the original invention."
--> The author says that many believe that 'internet itself' is unplanned 
but actually both internet and mobile computers are unplanned(unintended) 
inventions.

Hence, D is the correct option of this answer. This explanation has been contributed by Mohit Gupta.

Question 8

All hill-stations have a lake. Ooty has two lakes. Which of the statement(s) below is/are logically valid and can be inferred from the above sentences?

(i) Ooty is not a hill-station.
(ii) No hill-station can have more than one lake. 

• A. (i) only
• B. (ii) only
• C. both (i) and (ii)
• D. neither (i) nor (ii)

Answer: (D)

GATE-CS-2016 (Set 2) General Aptitude
Discuss it

Given statement doesn't say that - "All hill-stations have a lake" but any place having a lake is surely a hill station. ---> Ooty may or may not be a hill station Hence (i) is false ---> Here, it is not a compulsion that a place need to have exactly one lake to be a hill station. Hence (ii) is also false This explanation has been contributed by Mohit Gupta.

Question 9

In a 2 × 4 rectangle grid shown below, each cell is a rectangle. How many rectangles can be observed in the grid?

• A. 21
• B. 27
• C. 30
• D. 36

Answer: (C)

GATE-CS-2016 (Set 2) General Aptitude
Discuss it

To form a rectangle, we must choose two horizontal sides and two vertical sides. So, number of rectangles we can form is mC2 * nC2. Since there are three horizontal lines, we can choose the horizontal sides in 3C2 ways. Since there are five vertical lines, we can choose the vertical sides in 5C2 ways. The number of rectangles we can form is = 5C2 * 3C2 = {(5*4)/2}*{(3*2)/2} = 10*3 = 30 So, option (C) is correct.

Question 10

Choose the correct expression for f(x) given in the graph.

• A. A
• B. B
• C. C
• D. D

Answer: (C)

GATE-CS-2016 (Set 2)
Discuss it

Simply, there are two test cases: ---> In graph, at x = 1, f(x) = 2 Let's find the values at x = 1 in given options: A) f(1) = 1 - |1-1| = 1 - 0 = 1 B) f(1) = 1 + |1-1| = 1 + 0 = 1 C) f(1) = 2 - |1-1| = 2 - 0 = 2 D) f(1) = 2 + |1-1| = 2 + 0 = 2 Hence (A) and (B) are incorrect. Now, ---> In the graph, at x=0, f(x) = 1 Let's find the values at x = 1 in the remaining options, i.e. C and D. (c) f(0) = 2 - |0-1| = 2 - 1 = 1 (d) f(0) = 2 + |0-1| = 2 + 1 = 3 Hence, C is the correct answer. This explanation is contributed by Mohit Gupta.