1
GATE CSE 2024 Set 2
Numerical
+2
-0.66

Let L1 be the language represented by the regular expression b*ab*(ab*ab*)* and L2 = { w ∈ (a + b)* | |w| ≤ 4 }, where |w| denotes the length of string w. The number of strings in L2 which are also in L1 is __________.

Your input ____
2
GATE CSE 2024 Set 2
MCQ (Single Correct Answer)
+1
-0.33

If ‘→’ denotes increasing order of intensity, then the meaning of the words [walk → jog → sprint] is analogous to [bothered → _______ → daunted].

Which one of the given options is appropriate to fill the blank?

A

phased

B

phrased

C

fazed

D

fused

3
GATE CSE 2024 Set 2
MCQ (Single Correct Answer)
+1
-0.33

Two wizards try to create a spell using all the four elements, water, air, fire, and earth. For this, they decide to mix all these elements in all possible orders. They also decide to work independently. After trying all possible combinations of elements, they conclude that the spell does not work.

How many attempts does each wizard make before coming to this conclusion, independently?

A

24

B

48

C

16

D

12

4
GATE CSE 2024 Set 2
MCQ (Single Correct Answer)
+1
-0.33

In an engineering college of 10,000 students, 1,500 like neither their core branches nor other branches. The number of students who like their core branches is 1/4th of the number of students who like other branches. The number of students who like both their core and other branches is 500.

The number of students who like their core branches is

A

1,800

B

3,500

C

1,600

D

1,500

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