1
GATE CSE 2022
MCQ (Single Correct Answer)
+1
-0.33

The ___________ is too high for it to be considered __________.

A
fair / fare
B
faer / fair
C
fare / fare
D
fare / fair
2
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
$${6 \over {13}}$$
3
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
4
GATE CSE 2022
MCQ (Single Correct Answer)
+1
-0.33

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.

A
Statement 1 and Statement 3
B
Statement 1 and Statement 2
C
Statement 2 and Statement 4
D
Statement 3 and Statement 4
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