GATE CSE 2021 Set 2 | GATE CSE Year Wise Previous Years Questions

GATE CSE 2021 Set 2

MCQ (More than One Correct Answer)

-0

Let L₁ be a regular language and L₂ be a context-free language. Which of the following languages is/are context-free?

L₁ ∩ L̅₂

L₁ ∪ (L₂ ∪ L̅₂)

$$\overline {{{\bar L}_1} \cup {{\bar L}_2}} $$

(L₁∩ L₂) ∪ (L̅₁ ∩ L₂)

GATE CSE 2021 Set 2

MCQ (Single Correct Answer)

-0.66

Consider the following two statements about regular languages:

S₁: Every infinite regular language contains an undecidable language as a subset.

S₂: Every finite language is regular.

Which one of the following choices is correct?

Only S₂ is true.

Neither S1 nor S2 is true.

Only S1 is true.

Both S1 and S2 are true.

GATE CSE 2021 Set 2

MCQ (Single Correct Answer)

-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 :

GATE CSE 2021 Set 2

MCQ (Single Correct Answer)

-0.67

Listening to music during exercise improves exercise 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 a clear positive effect on learning in all students. Music has a positive effect only in some students who exercise.

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 physical exercise and on learning.

Listening to music has no effect on learning and a positive effect on physical exercise.

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