GATE-CS-2016 (Set 2) GATE-CS-2016 (Set 2) Please wait while the activity loads. If this activity does not load, try refreshing your browser. Also, this page requires javascript. Please visit using a browser with javascript enabled. If loading fails, click here to try again Question 1The man who is now Municipal Commissioner worked as ______________. the security guard at a university a security guard at the university a security guard at universitythe security guard at the universityGATE-CS-2016 (Set 2) English Discuss itQuestion 1-Explanation: 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 2Nobody 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. put up with put in with put down toput up againstGATE-CS-2016 (Set 2) Discuss itQuestion 2-Explanation: 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 3Find the odd one in the following group of words. mock, deride, praise, jeer mockderidepraisejeerGATE-CS-2016 (Set 2) English Discuss itQuestion 3-Explanation: 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 4Pick the odd one from the following options. CADBEJHKILXVYWZONPMQGATE-CS-2016 (Set 2) General Aptitude Discuss itQuestion 4-Explanation: 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 5In a quadratic function, the value of the product of the roots (α, β) is 4. Find the value of ABCDGATE-CS-2016 (Set 2) Discuss itQuestion 5-Explanation: (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 6Among 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 ______________. 35 456590GATE-CS-2016 (Set 2) General Aptitude Discuss itQuestion 6-Explanation: 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 7Computers 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 (i) only (ii) only both (i) and (ii)neither (i) nor (ii) GATE-CS-2016 (Set 2) General Aptitude Discuss itQuestion 7-Explanation: 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 8All 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. (i) only (ii) only both (i) and (ii)neither (i) nor (ii)GATE-CS-2016 (Set 2) General Aptitude Discuss itQuestion 8-Explanation: 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 9In a 2 × 4 rectangle grid shown below, each cell is a rectangle. How many rectangles can be observed in the grid? 21273036GATE-CS-2016 (Set 2) General Aptitude Discuss itQuestion 9-Explanation: 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 10Choose the correct expression for f(x) given in the graph. ABCDGATE-CS-2016 (Set 2) Discuss itQuestion 10-Explanation: 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. 1234567 There are 65 questions to complete. You have completed questions question Your accuracy is Correct Wrong Partial-Credit You have not finished your quiz. If you leave this page, your progress will be lost. Correct Answer You Selected Not Attempted Final Score on Quiz Attempted Questions Correct Attempted Questions Wrong Questions Not Attempted Total Questions on Quiz Question Details Results Date Score Hint Time allowed minutes seconds Time used Answer Choice(s) Selected Question Text All doneNeed more practice!Keep trying!Not bad!Good work!Perfect! GATE-CS-2016 (Set 1) Last Updated : 11 Oct, 2021 Share your thoughts in the comments Add Your Comment Please Login to comment...