GATE CS 2021 | Set 2

Question 1

Gauri said that she can play the keyboard __________ her sister.

• as well as
• as better as
• as nicest as
• as worse as

Question 2

A transparent square sheet shown above is folded along the dotted line. The folded sheet will look like ___________.

• A
• B
• C
• D

Question 3

then the value of x is:

• 2
• 4
• 6
• 8

Question 4

Pen : Write :: Knife : _______ 

Which one of the following options maintains a similar logical relation in the above?

• Vegetables
• Sharp
• Cut
• Blunt

Question 5

Listening to music during exercise improves performance and reduces discomfort. Scientists researched whether listening to music while studying can help students learn better and the results were inconclusive. Students who needed external stimulation for studying fared worse while students who did not need any external stimulation benefited from music. Which one of the following statements is the CORRECT inference of the above passage?

• Listening to music has no effect on learning and a positive effect on physical exercise
• Listening to music has a clear positive effect both in physical exercise and on learning
• Listening to music has a clear positive effect on physical exercise. Music has a positive effect on learning only in some students
• Listening to music has a clear positive effect on learning in all students. Music has a positive effect only in some students who exercise

Question 6

A jigsaw puzzle has 2 pieces. One of the pieces is shown above. Which one of the given options for the missing piece when assembled will form a rectangle? The piece can be moved, rotated or flipped to assemble with the above piece.

• A
• B
• C
• D

Question 7

The number of students in three classes is in the ratio 3:13:6. If 18 students are added to each class, the ratio changes to 15:35:21. The total number of students in all the three classes in the beginning was:

• 22
• 66
• 88
• 110

Question 8

The number of units of a product sold in three different years and the respective net profits are presented in the figure above. The cost/unit in Year 3 was Re. 1, which was half the cost/unit in Year 2. The cost/unit in Year 3 was one-third of the cost/unit in Year 1. Taxes were paid on the selling price at 10%, 13%, and 15% respectively for the three years. Net profit is calculated as the difference between the selling price and the sum of cost and taxes paid in that year. The ratio of the selling price in Year 2 to the selling price in Year 3 is _________.

• 4:3
• 1:1
• 3:4
• 1:2

Question 9

Six students P, Q, R, S, T and U, with distinct heights, compare their heights and make the following observations.

• Observation I: S is taller than R.
• Observation II: Q is the shortest of all.
• Observation III: U is taller than only one student.
• Observation IV: T is taller than S but is not the tallest.

The number of students that are taller than R is the same as the number of students shorter than ____________.

• T
• R
• S
• P

Question 10

Let G be a connected undirected weighted graph. Consider the following two statements.

• S1: There exists a minimum weight edge in G which is present in every minimum spanning tree of G.
• S2: If every edge in G has distinct weight, then G has a unique minimum spanning tree.

Which one of the following options is correct?

• Both S1 and S2 are true
• S1 is true and S2 is false
• S1 is false and S2 is true
• Both S1 and S2 are false