1
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

2
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

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

For positive non-zero real variables $x$ and $y$, if

$\ln \left( \frac{x + y}{2} \right) = \frac{1}{2} [ \ln (x) + \ln (y) ]$

then, the value of $\frac{x}{y} + \frac{y}{x}$ is

A

1

B

1/2

C

2

D

4

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

In the sequence 6, 9, 14, $x$, 30, 41, a possible value of $x$ is

A

25

B

21

C

18

D

20

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