CS and IT GATE 2024 SET-2 Questions with Answer

Ques 53 Discrete Mathematics


Let p and q be the following propositions:
p: Fail grade can be given.
q: Student scores more than 50% marks.
Consider the statement: "Fail grade cannot be given when student scores more than 50% marks."
Which one of the following is the CORRECT representation of the above statement in propositional logic?

A

q→¬p

B

q→p

C

p→q

D

¬p→q



Ques 54 General Aptitude


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



Ques 55 General Aptitude


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. The number of trials does each wizard make before coming to this conclusion?

A

24

B

48

C

16

D

12



Ques 56 General Aptitude


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



Ques 57 General Aptitude


For positive non-zero real variables x and y, if ln((x+y)/2)=1/2[ln(x)+ln(y)], then , the value of x/y+y/x

A

1/2

B

1

C

2

D

4



Ques 58 General Aptitude


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

A

25

B

21

C

18

D

20



Ques 59 General Aptitude


Sequence the following sentences in a coherent passage.
P: This fortuitous geological event generated a colossal amount of energy and heat that resulted in the rocks rising to an average height of 4 km across the contact zone.
Q: Thus, the geophysicists tend to think of the Himalayas as an active geological event rather than as a static geological feature.
R: The natural process of the cooling of this massive edifice absorbed large quantities of atmospheric carbon dioxide, altering the earth's atmosphere and making it better suited for life.
S: Many millennia ago, a breakaway chunk of Antarctic Plate collided with the massive Eurasian Plate.

A

QPSR

B

SQRP

C

RSPQ

D

SRQP



Ques 60 General Aptitude


A person sold two different items at the same price. He made 10% profit in one item, and 10% loss in the other item. In selling these two items, the person made a total of

A

1% profit

B

2% profit

C

1% loss

D

2% loss



Ques 61 General Aptitude


The pie charts depict the shares of various power generation technologies in the total electricity generation of a country for the years 2007 and 2023. The renewable sources of electricity generation consist of Hydro, Solar and Wind. Assuming that the total electricity generated remains the same from 2007 to 2023, what is the percentage increase in the share of the renewable sources of electricity generation over this period?

A

25%

B

50%

C

77.5%

D

62.5%



Ques 62 General Aptitude


A cube is to be cut into 8 pieces of equal size and shape. Here, each cut should be straight and it should not stop till it reaches the other end of the cube.
The minimum number of such cuts required is

A

3

B

4

C

7

D

8



Ques 63 General Aptitude


In the 4×4 array shown below, each cell of the first three rows has either a cross (X) or a number. The number in a cell represents the count of the immediate neighboring cells (left, right, top, bottom, diagonals) NOT having a cross (X).

Given that the last row has no crosses (X), the sum of the four numbers to be filled in the last row is

A

11

B

10

C

12

D

9



Ques 64 Operating System


Consider a multi-threaded program with two threads T1 and T2. The threads share two semaphores: s1 (initialized to 1) and s2 (initialized to 0). The threads also share a global variable x (initialized to 0). The threads execute the code shown below.

Which of the following outcomes is/are possible when threads T1 and T2 execute concurrently?

A

T1 runs first and prints 1, T2 runs next and prints 2

B

T2 runs first and prints 1, T1 runs next and prints 2

C

T1 runs first and prints 1, T2 does not print anything (deadlock)

D

T2 runs first and prints 1, T1 does not print anything (deadlock)



Ques 65 Programming


Consider the following C program. Assume parameters to a function are evaluated from right to left.

Which one of the following options is the CORRECT output of the above C program?

A

10201020

B

10202010

C

20101020

D

20102010



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