Aptitude GATE CS and IT previous year questions with answer

Ques 21 Gate 2022

Given below are four statements.
Statement 1: All students are inquisitive.
Statement 2: Some students are inquisitive.
Statement 3: No student is inquisitive.
Statement 4: Some students are not inquisitive.
From the given four statements, find the two statements that CANNOT BE TRUE simultaneously, assuming that there is at least one student in the class.

Ques 22 Gate 2022

Some people believe that “what gets measured, improves”. Some others believe that “what gets measured, gets gamed”. One possible reason for the difference in beliefs is the work culture in organizations. In organizations with good work culture, metrics help improve outcomes. However, the same metrics are counterproductive in organizations with the poor work cultures.
Which one of the following is the CORRECT logical inference based on the information in the above passage?

Ques 23 Gate 2022

In a recently conducted national entrance test, boys constituted 65% of those who appeared for the test. Girls constituted the remaining candidates and they accounted for 60% of the qualified candidates.

Which one of the following is the correct logical inference based on the information provided in the above passage?

Ques 24 Gate 2022

A box contains five balls of same size and shape. Three of them are green coloured balls and two of them are orange coloured balls. Balls are drawn from the box one at a time. If a green ball is drawn, it is not replaced. If an orange ball is drawn, it is replaced with another orange ball.

First ball is drawn. What is the probability of getting an orange ball in the next draw?

Ques 25 Gate 2022

The corners and mid-points of the sides of a triangle are named using the distinct letters P, Q, R, S, T, and U, but not necessarily in the same order. Consider the following statements:

i)The line joining P and R is parallel to the line joining Q and S.
ii)P is placed on the side opposite to corner T.
iii)S and U cannot be placed on the same side.
Which one of the following statements is correct based on the above information?

Ques 26 GATE 2021 SET-1

We have 2 rectangular sheets of paper, M and N, of dimensions 6 cm × 1 cm each. Sheet M is rolled to form an open cylinder by bringing the short edges of the sheet together. Sheet N is cut into equal square patches and assembled to form the largest possible closed cube. Assuming the ends of the cylinder are closed, the ratio of the volume of the cylinder to that of the cube is _________.

Ques 27 GATE 2021 SET-1

___________ is to surgery as writer is to ___________ Which one of the following options maintains a similar logical relation in the above sentence ?

Ques 28 GATE 2021 SET-1

Consider the following sentences:

(i) Everybody in the class is prepared for the exam.
(ii) Babu invited Danish to his home because he enjoys playing chess.

Which of the following is the CORRECT observation about the above two sentences?

Ques 29 GATE 2021 SET-1

The ratio of boys to girls in a class is 7 to 3. Among the options below, an acceptable value for the total number of students in the class is

Ques 30 Gate 2020

Two straight lines are drawn perpendicular to each other in X−Y plane. If α and β are the acute angles the straight lines make with the X- axis, then α+β is ________ .