1
GATE CSE 2022
+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
2
GATE CSE 2022
+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
3
GATE CSE 2022
+1
-0.33

A palindrome is a word that reads the same forwards and backwards. In a game of words, a player has the following two plates painted with letters.

From the additional plates given in the options, which one of the combinations of additional plates would allow the player to construct a five-letter palindrome. The player should use all the five plates exactly once. The plates can be rotated in their plane.

A
B
C
D
4
GATE CSE 2022
+1
-0.33

Some people believe that "what gets measured, improves". Some other believe that "what gets measured, gets gamed". One possible reason for the difference in the 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 poor work culture.

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

A
Metrics are useful in organizations with poor work culture.
B
Metrics are useful in organizations with good work culture.
C
Metrics are always counterproductive in organizations with good work culture.
D
Metrics are never useful in organizations with good work culture.
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