GATE XE 2024 Question Paper (10-Feb-2024) (Shift-2)

Question 1

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?

Accepted Answer

fazed

Answer

phased

Answer

phrased

Answer

fused

Question 2

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 combination of elements, they conclude that the spell does not work.
How many attempts does each wizard make before coming to this conclusion, independently?

Accepted Answer

24

Answer

48

Answer

16

Answer

12

Question 3

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

Accepted Answer

1,800

Answer

3,500

Answer

1,600

Answer

1,500

Question 4

For positive non-zero real variables $x$ and $y$, if$ln\left(\frac{x+y}{2}\right) = \frac{1}{2} [ln\left(x\right) + ln\left(y\right)]$then, the value of $\frac{x}{y} + \frac{y}{x}$ is

Accepted Answer

2

Answer

1

Answer

1/2

Answer

4

Question 5

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

Accepted Answer

21

Answer

25

Answer

18

Answer

20