GATE CSE area:general-aptitude PYQs & Answers — Page 2

Questions 11–20 of 150. Imported answers require independent review unless marked reviewed.

Combinatorics deals with problems involving counting. For example, “How many distinct arrangements of N distinct objects in M spaces on a circle are possible?” is a typical problem in combinatorics. This kind of counting is sometimes used in the modeling of several physical phenomena. Often, in such models, the different combinatorial possibilities are assigned probability values. Assigning probabilities enables the computation of the average values of physical quantities.

Consider the following statements:

P: Combinatorics is always invoked in the modeling of physical phenomena.

Q: Modeling some physical phenomena involves assigning probabilities to combinatorial possibilities in order to compute average values of physical quantities.

Based on the passage above, what can be inferred about statements P and Q?

Your answerChoose one option.

P is False and Q is False

P is False and Q is True

P is True and Q is False

P is True and Q is True

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Water : P :: Food : Q

Choose the P and Q combination from the options below to form a meaningful analogy.

Your answerChoose one option.

P = Thirst; Q = Hunger

P = Drink; Q = Hunger

P = Thirst; Q = Satiated

P = Wet; Q = Critic

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In Panel I of the figure below, the front view and top view of a structure are shown. Which one of the 3D structures shown in Panel II possesses the views shown in Panel I?

Diagram for Computer Science and Information Technology question 7

Your answerChoose one option.

(i)

(ii)

(iii)

(iv)

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Two tiles are missing in Panel I. Which one of the options in Panel II is the appropriate choice for the missing tiles?

Your answerChoose one option.

(i)

(ii)

(iii)

(iv)

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For positive real numbers

and

, the function

is defined as:

. The max function is defined as:

The graph below shows the plot of a function

versus

can be expressed as _____.

Diagram for Computer Science and Information Technology question 8

Your answerChoose one option.

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Figures (i) and (ii) represent intercity highway systems. The black dots represent cities and the line segments between them represent intercity highways. A salesperson needs to make a trip. She needs to start from a city, visit each of the remaining cities exactly once, and finally return to the same city from which she started.

Which one of the following options is then true?

Your answerChoose one option.

Such a trip is possible for (i), but not for (ii).

Such a trip is possible for (ii), but not for (i).

Such a trip is possible for both (i) and (ii).

Such a trip is possible neither for (i) nor for (ii).

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In the 2020 summer Olympics’ Javelin throw finals, Neeraj Chopra exhibited a spectacular performance to win the gold medal. The silver medal was won by Jakub Vadlech and the bronze medal was won by Vitezlav Vesely. There were six rounds of throws with each athlete having one throw per round. The best of all the throws of each athlete is considered for the medal. Following were the observations about the throws: i. The first and second rounds were dominated by Neeraj Chopra with a gold medal performance in his second throw, while the other two athletes did not have any medal winning throws in these rounds. ii. The throws in the last round by both Jakub Vadlech and Vitezlav Vesely were fouls and were not considered for score. iii. After four rounds, Vitezlav Vesely was in the second position and could not improve upon his best throw in the succeeding rounds. iv. In the fourth round, the throw by Jakub Vadlech was the best in that round. In which round did Vitezlav Vesely have his best throw?

Your answerChoose one option.

Third

Fourth

Fifth

Sixth

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The figure in Panel I below is a grid of cells with four rows and four columns. The numbers on the top and on the left represent the number of cells that are to be shaded in that column and row, respectively. Which one of the options shown in Panel II below represents the grid shaded correctly?

Diagram for Computer Science and Information Technology question 9

Your answerChoose one option.

(i)

(ii)

(iii)

(iv)

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An unbiased six-faced dice whose faces are marked with numbers 1, 2, 3, 4, 5, and 6 is rolled twice in succession and the number on the top face is recorded each time. The probability that the number appearing in the second roll is an integer multiple of the number appearing in the first roll is ________

Your answerChoose one option.

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An unbiased six-faced dice whose faces are marked with numbers 1, 2, 3, 4, 5, and 6 is rolled twice in succession and the number on the top face is recorded each time. The probability that the sum of the two recorded numbers is a prime number is ________

Your answerChoose one option.

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GATE CSE area:general-aptitude PYQs

Question 6

Question 6

Question 7

Question 7

Question 8

Question 8

Question 9

Question 9

Question 10

Question 10