General Aptitude
Verbal Ability
Marks 1Marks 2
Logical Reasoning
Marks 1Marks 2
Numerical Ability
Marks 1Marks 2
1
GATE CSE 2022
MCQ (Single Correct Answer)
+1
-0.33

A function y(x) is defined in the interval [0, 1] on the x-axis as

$$y(x) = \left\{ \matrix{ 2\,if\,0 \le x < {1 \over 3} \hfill \cr 3\,if\,{1 \over 3} \le x < {3 \over 4} \hfill \cr 1\,if\,{3 \over 4} \le x < 1 \hfill \cr} \right.$$

Which one of the following is the area under the curve for the interval [0, 1] on the x-axis?

A
$${5 \over 6}$$
B
$${6 \over 5}$$
C
$${{13} \over 6}$$
D
$${6 \over {13}}$$
2
GATE CSE 2022
MCQ (Single Correct Answer)
+1
-0.33

Let r be a root of the equation x2 + 2x + 6 = 0. Then the value of the expression (r + 2) (r + 3) (r + 4) (r + 5) is

A
51
B
$$-$$ 51
C
126
D
$$-$$ 126
3
GATE CSE 2021 Set 2
MCQ (Single Correct Answer)
+1
-0.33
If $${\left( {x - {1 \over 2}} \right)^2} - {\left( {x - {3 \over 2}} \right)^2} = x + 2$$, then the value of x is :
A
2
B
8
C
4
D
6
4
GATE CSE 2021 Set 2
MCQ (Single Correct Answer)
+1
-0.33
If $$\theta$$ is the angle, in degrees, between the longest diagonal of the cube and any one of the edges of the cube, then cos $$\theta$$ = _______
A
$${1 \over {\sqrt 3 }}$$
B
$${1 \over 2}$$
C
$${1 \over {\sqrt 2 }}$$
D
$${{\sqrt 3 } \over 2}$$
GATE CSE Subjects
Theory of Computation
Operating Systems
Algorithms
Digital Logic
Database Management System
Data Structures
Computer Networks
Software Engineering
Compiler Design
Web Technologies
General Aptitude
Discrete Mathematics
Programming Languages
Computer Organization