GATE-2024-CS1(Forenoon)

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Question 1
If ‘→’ denotes increasing order of intensity, then the meaning of the words  [dry → arid → parched] is analogous to [diet → fast → ________ ].
Which one of the given options is appropriate to fill the blank?
A
starve
B
reject
C
feast
D
Deny
Question 2
If two distinct non-zero real variables x and y are such that (x + y) is proportional  to (x — y) then the value of  x / y is    
A
depends on xy
B
depends only on x and not on y
C
depends only on y and not on x
D
is a constant
Question 3
Consider the following sample of numbers:
9, 18, 11, 14, 15, 17, 10, 69, 11, 13
The median of the sample is
A
13.5
B
14
C
11
D
18.7
Question 4
The number of coins of  Rs 1 , Rs 5 and Rs 10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in Rs 5 coins is  
A
21%
B
14(2/7)%
C
10%
D
30%
Question 5
For positive non-zero real variables p and q, if  log(p2+q2)=log p+log q+2log3, then the value of (p4+q4)/p2q2 is
A
79
B
81
C
9
D
83
Question 6
In the given text, the blanks are numbered (i)—(iv). Select the best match for all the blanks. Steve was advised to keep his head____(i)before heading___(ii)to bat; for, while he had a head___(ii)batting, he could only do so with a cool head______(iv) his shoulders.
A
(i) down (ii) down (iii) on (iv) for
B
(i) on (ii) down (iii) for (iv) on
C
(i) down (ii) out (iii) for (iv) on
D
(i) on (ii) out (iii) on (iv) for
Question 7
A rectangular paper sheet of dimensions 54 cm x 4 cm is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken. Then, the ratio of the volume of the cylindrical tube to the volume of the cube is
A
1 / π
B
2 / π
C
3 / π
D
4 / π
Question 8
The pie chart presents the percentage contribution of different macro nutrients to a typical 2,000 kcal diet of a person. The total fat (all three types), in grams, this person consumes is
A
44.4
B
77.8
C
100
D
3,600
Question 9
A rectangular paper of 20 cm × 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is
A
18
B
24
C
20
D
21
Question 10
The least number of squares to be added in the figure to make AB a line of symmetry is
A
6
B
4
C
5
D
7
Question 11
Q11
A
{−1, 1, 2}
B
{−2, −1, 1}
C
{0, 1}
D
{−1, 0, 1}
Question 12
Q12
A
−1
B
0
C
1
D
2
Question 13
Consider a system that uses 5 bits for representing signed integers in 2's complement format. In this system, two integers A and B are represented as A=01010 and B=11010. Which one of the following operations will result in either an arithmetic overflow or an arithmetic underflow?
A
A+B
B
A-B
C
B-A
D
2*B
Question 14
Consider a permutation sampled uniformly at random from the set of all permutations of {1, 2, 3, ⋯ , n} for some n ≥ 4. Let X be the event that 1 occurs before 2 in the permutation, and Y the event that 3 occurs before 4. Which one of the following statements is TRUE?
A
The events X and Y are mutually exclusive
B
The events X and Y are independent
C
Either event X or Y must occur
D
Event X is more likely than event Y
Question 15
Which one of the following statements is FALSE?
A
In the cycle stealing mode of DMA, one word of data is transferred between an I/O device and main memory in a stolen cycle
B
For bulk data transfer, the burst mode of DMA has a higher throughput than the cycle stealing mode
C
Programmed I/O mechanism has a better CPU utilization than the interrupt driven I/O mechanism
D
The CPU can start executing an interrupt service routine faster with vectored interrupts than with non-vectored interrupts
Question 16
A user starts browsing a webpage hosted at a remote server. The browser opens a single TCP connection to fetch the entire webpage from the server. The webpage consists of a top-level index page with multiple embedded image objects. Assume that all caches (e.g., DNS cache, browser cache) are all initially empty. The following packets leave the user’s computer in some order. (i)    HTTP GET request for the index page (ii)    DNS request to resolve the web server’s name to its IP address (iii)    HTTP GET request for an image object (iv)    TCP SYN to open a connection to the web server Which one of the following is the CORRECT chronological order (earliest in time to latest) of the packets leaving the computer ?
A
(iv), (ii), (iii), (i)
B
(ii), (iv), (iii), (i)
C
(ii), (iv), (i), (iii)
D
(iv), (ii), (i), (iii)
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