Re: GATE Computer Science Engineering Last years question papers

As per your request here I am sharing the last year question paper of GATE - Computer Science Engineering

Q. 1 – Q. 25 carry one mark each.
Q.1 Consider the following logical inferences.
I1: If it rains then the cricket match will not be played.
The cricket match was played.
Inference: There was no rain.
I2: If it rains then the cricket match will not be played.
It did not rain.
Inference: The cricket match was played.
Which of the following is TRUE?
(A) Both I1 and I2 are correct inferences
(B) I1 is correct but I2 is not a correct inference
(C) I1 is not correct but I2 is a correct inference
(D) Both I1 and I2 are not correct inferences
Q.2 Which of the following is TRUE?
(A) Every relation in 3NF is also in BCNF
(B) A relation R is in 3NF if every non-prime attribute of R is fully functionally dependent on every
key of R
(C) Every relation in BCNF is also in 3NF
(D) No relation can be in both BCNF and 3NF
Q.3 What will be the output of the following C program segment?
char inChar = ‘A’ ;
switch ( inChar ) {
case ‘A’ : printf (“Choice A\ n”) ;
case ‘B’ :
case ‘C’ : printf (“Choice B”) ;
case ‘D’ :
case ‘E’ :
default : printf ( “ No Choice” ) ; }
(A) No Choice
(B) Choice A
(C) Choice A
Choice B No Choice
(D) Program gives no output as it is erroneous
Q.4 Assuming P ≠ NP, which of the following is TRUE?
(A) NP-complete = NP (B) NP-complete ∩ P =
(C) NP-hard = NP (D) P = NP-complete
Q.5 The worst case running time to search for an element in a balanced binary search tree with n2n
elements is
(A) Θ (n log n) (B) Θ (n2n) (C) Θ (n) (D) Θ (log n)

Q.6 The truth table
X Y f (X, Y)
0 0 0
0 1 0
1 0 1
1 1 1
represents the Boolean function
(A) X (B) X + Y (C) X Y (D) Y
Q.7 The decimal value 0.5 in IEEE single precision floating point representation has
(A) fraction bits of 000…000 and exponent value of 0
(B) fraction bits of 000…000 and exponent value of −1
(C) fraction bits of 100…000 and exponent value of 0
(D) no exact representation
Q.8 A process executes the code
fork();
fork();
fork();
The total number of child processes created is
(A) 3 (B) 4 (C) 7 (D) 8
Q.9 Consider the function f(x) = sin(x) in the interval x [π/4, 7π/4]. The number and location(s) of the
local minima of this function are
(A) One, at π/2
(B) One, at 3π/2
(C) Two, at π/2 and 3π/2
(D) Two, at π/4 and 3π/2
Q.10 The protocol data unit (PDU) for the application layer in the Internet stack is
(A) Segment (B) Datagram (C) Message (D) Frame
Q.11 Let A be the 2 × 2 matrix with elements a11 = a12 = a21 = +1 and a22 = −1. Then the eigenvalues of
the matrix A19 are
(A) 1024 and −1024 (B) 1024√2 and −1024√2
(C) 4√2 and −4√2 (D) 512√2 and −512√2
Q.12 What is the complement of the language accepted by the NFA shown below?
Assume = {a} and is the empty string.
(A) (B) {} (C) a*
(D) {a , }
a

Q.13 What is the correct translation of the following statement into mathematical logic?
“Some real numbers are rational”
(A) x (real(x) rational(x))
(B) x (real(x) rational(x))
(C) x (real(x) rational(x))
(D) x (rational(x) real(x))
Q.14 Given the basic ER and relational models, which of the following is INCORRECT?
(A) An attribute of an entity can have more than one value
(B) An attribute of an entity can be composite
(C) In a row of a relational table, an attribute can have more than one value
(D) In a row of a relational table, an attribute can have exactly one value or a NULL value
Q.15 Which of the following statements are TRUE about an SQL query?
P : An SQL query can contain a HAVING clause even if it does not have a GROUP BY clause
Q : An SQL query can contain a HAVING clause only if it has a GROUP BY clause
R : All attributes used in the GROUP BY clause must appear in the SELECT clause
S : Not all attributes used in the GROUP BY clause need to appear in the SELECT clause
(A) P and R (B) P and S (C) Q and R (D) Q and S
Q.16 The recurrence relation capturing the optimal execution time of the Towers of Hanoi problem with
n discs is
(A) T(n) = 2T(n − 2) + 2 (B) T(n) = 2T(n − 1) + n
(C) T(n) = 2T(n/2) + 1 (D) T(n) = 2T(n − 1) + 1
Q.17 Let G be a simple undirected planar graph on 10 vertices with 15 edges. If G is a connected graph,
then the number of bounded faces in any embedding of G on the plane is equal to
(A) 3 (B) 4 (C) 5 (D) 6
Q.18 Let W(n) and A(n) denote respectively, the worst case and average case running time of an
algorithm executed on an input of size n. Which of the following is ALWAYS TRUE?
(A) A(n) = Ω (W(n)) (B) A(n) = Θ (W(n))
(C) A(n) = O (W(n)) (D) A(n) = o (W(n))
Q.19 The amount of ROM needed to implement a 4 bit multiplier is
(A) 64 bits (B) 128 bits (C) 1 Kbits (D) 2 Kbits
Q.20 Register renaming is done in pipelined processors
(A) as an alternative to register allocation at compile time
(B) for efficient access to function parameters and local variables
(C) to handle certain kinds of hazards
(D) as part of address translation
Q.21 Consider a random variable X that takes values +1 and −1 with probability 0.5 each. The values of
the cumulative distribution function F(x) at x = −1 and +1 are
(A) 0 and 0.5 (B) 0 and 1 (C) 0.5 and 1 (D) 0.25 and 0.75

Q.22 Which of the following transport layer protocols is used to support electronic mail?
(A) SMTP (B) IP (C) TCP (D) UDP
Q.23 In the IPv4 addressing format, the number of networks allowed under Class C addresses is
(A) 214 (B) 27 (C) 221 (D) 224
Q.24 Which of the following problems are decidable?
1) Does a given program ever produce an output?
2) If L is a context-free language, then, is L also context-free?
3) If L is a regular language, then, is L also regular?
4) If L is a recursive language, then, is L also recursive?
(A) 1, 2, 3, 4 (B) 1, 2 (C) 2, 3, 4 (D) 3, 4
Q.25 Given the language L = {ab, aa, baa}, which of the following strings are in L*?
1) abaabaaabaa
2) aaaabaaaa
3) baaaaabaaaab
4) baaaaabaa
(A) 1, 2 and 3 (B) 2, 3 and 4
(C) 1, 2 and 4 (D) 1, 3 and 4

Q. 26 to Q. 55 carry two marks each.
Q.26 Which of the following graphs is isomorphic to
(A)
(B)
(C)
(D)
Q.27 Consider the following transactions with data items P and Q initialized to zero:
T1 :read (P);
read (Q);
if P = 0 then Q := Q + 1 ;
write (Q).
T2 : read (Q);
read (P);
if Q = 0 then P := P + 1 ;
write (P).
Any non-serial interleaving of T1 and T2 for concurrent execution leads to
(A) a serializable schedule
(B) a schedule that is not conflict serializable
(C) a conflict serializable schedule
(D) a schedule for which a precedence graph cannot be drawn
Q.28 The bisection method is applied to compute a zero of the function f(x) = x4 – x3 – x2 – 4 in the
interval [1,9]. The method converges to a solution after ––––– iterations.
(A) 1 (B) 3 (C) 5 (D) 7
Q.29 Let G be a weighted graph with edge weights greater than one and Gbe the graph constructed by
squaring the weights of edges in G. Let T and Tbe the minimum spanning trees of G and G,
respectively, with total weights t and t. Which of the following statements is TRUE?
(A) T= T with total weight t= t2
(B) T= T with total weight t< t2
(C) T≠ T but total weight t= t2
(D) None of the above

Q.30 What is the minimal form of the Karnaugh map shown below? Assume that X denotes a don’t care
term.
ab
cd 00 01 11 10
00 1 X X 1
01 X 1
11
10 1 X
(A) bd (B) bd bc (C) bd abcd (D) bd bc cd
Q.31 Consider the 3 processes, P1, P2 and P3 shown in the table.
Process Arrival
time
Time Units
Required
P1 0 5
P2 1 7
P3 3 4
The completion order of the 3 processes under the policies FCFS and RR2 (round robin scheduling
with CPU quantum of 2 time units) are
(A) FCFS: P1, P2, P3 RR2: P1, P2, P3 (B) FCFS: P1, P3, P2 RR2: P1, P3, P2
(C) FCFS: P1, P2, P3 RR2: P1, P3, P2 (D) FCFS: P1, P3, P2 RR2: P1, P2, P3
Q.32 Fetch_And_Add(X,i) is an atomic Read-Modify-Write instruction that reads the value of
memory location X, increments it by the value i, and returns the old value of X. It is used in the
pseudocode shown below to implement a busy-wait lock. L is an unsigned integer shared variable
initialized to 0. The value of 0 corresponds to lock being available, while any non-zero value
corresponds to the lock being not available.
AcquireLock(L){
while (Fetch_And_Add(L,1))
L = 1;
}
ReleaseLock(L){
L = 0;
}
This implementation
(A) fails as L can overflow
(B) fails as L can take on a non-zero value when the lock is actually available
(C) works correctly but may starve some processes
(D) works correctly without starvation
Q.33 Suppose a fair six-sided die is rolled once. If the value on the die is 1, 2, or 3, the die is rolled a
second time. What is the probability that the sum total of values that turn up is at least 6?
(A) 10/21 (B) 5/12 (C) 2/3 (D) 1/6

Q.34 An Internet Service Provider (ISP) has the following chunk of CIDR-based IP addresses available
with it: 245.248.128.0/20. The ISP wants to give half of this chunk of addresses to Organization A,
and a quarter to Organization B, while retaining the remaining with itself. Which of the following is
a valid allocation of addresses to A and B?
(A) 245.248.136.0/21 and 245.248.128.0/22
(B) 245.248.128.0/21 and 245.248.128.0/22
(C) 245.248.132.0/22 and 245.248.132.0/21
(D) 245.248.136.0/24 and 245.248.132.0/21
Q.35 Suppose a circular queue of capacity (n −1) elements is implemented with an array of n elements.
Assume that the insertion and deletion operations are carried out using REAR and FRONT as array
index variables, respectively. Initially, REAR = FRONT = 0. The conditions to detect queue full
and queue empty are
(A) full: (REAR+1) mod n == FRONT
empty: REAR == FRONT
(B) full: (REAR+1) mod n == FRONT
empty: (FRONT+1) mod n == REAR
(C) full: REAR == FRONT
empty: (REAR+1) mod n == FRONT
(D) full: (FRONT+1) mod n == REAR
empty: REAR == FRONT

Q.36 Consider the program given below, in a block-structured pseudo-language with lexical scoping and
nesting of procedures permitted.
Program main;
Var ...
Procedure A1;
Var ...
Call A2;
End A1
Procedure A2;
Var ...
Procedure A21;
Var ...
Call A1;
End A21
Call A21;
End A2
Call A1;
End main.
Consider the calling chain: Main A1 A2 A21 A1
The correct set of activation records along with their access links is given by
(A)
(B)
(C)
(D)
ACCESS
LINKS
FRAME
POINTER
Main
A1
A2
A21
A1
ACCESS
LINKS
FRAME
POINTER
Main
A1
A2
A21
ACCESS
LINKS
FRAME
POINTER
Main
A1
A2
A21
A1
FRAME
POINTER
ACCESS
LINKS
Main
A1
A2
A21
A1

Q.37 How many onto (or surjective) functions are there from an n-element (n 2) set to a 2-element set?
(A) 2n (B) 2n − 1 (C) 2n − 2 (D) 2(2n – 2)
Q.38 Let G be a complete undirected graph on 6 vertices. If vertices of G are labeled, then the number of
distinct cycles of length 4 in G is equal to
(A) 15 (B) 30 (C) 90 (D) 360
Q.39 A list of n strings, each of length n, is sorted into lexicographic order using the merge-sort
algorithm. The worst case running time of this computation is
(A) O (n log n) (B) O (n2 log n) (C) O (n2 + log n) (D) O (n2)
Q.40 Consider the directed graph shown in the figure below. There are multiple shortest paths between
vertices S and T. Which one will be reported by Dijkstra’s shortest path algorithm? Assume that, in
any iteration, the shortest path to a vertex v is updated only when a strictly shorter path to v is
discovered.
(A) SDT (B) SBDT (C) SACDT (D) SACET
Q.41 A file system with 300 GByte disk uses a file descriptor with 8 direct block addresses, 1 indirect
block address and 1 doubly indirect block address. The size of each disk block is 128 Bytes and the
size of each disk block address is 8 Bytes. The maximum possible file size in this file system is
(A) 3 KBytes
(B) 35 KBytes
(C) 280 KBytes
(D) dependent on the size of the disk
Q.42 Consider the virtual page reference string
1, 2, 3, 2, 4, 1, 3, 2, 4, 1
on a demand paged virtual memory system running on a computer system that has main memory
size of 3 page frames which are initially empty. Let LRU, FIFO and OPTIMAL denote the number
of page faults under the corresponding page replacement policy. Then
(A) OPTIMAL < LRU < FIFO (B) OPTIMAL < FIFO < LRU
(C) OPTIMAL = LRU (D) OPTIMAL = FIFO
Q.43 Suppose R1(A, B) and R2(C, D) are two relation schemas. Let r1 and r2 be the corresponding
relation instances. B is a foreign key that refers to C in R2. If data in r1 and r2 satisfy referential
integrity constraints, which of the following is ALWAYS TRUE?
(A) B(r1) C(r2) =
(B) C(r2) B(r1) =
(C) B(r1) = C(r2)
(D) B(r1) C(r2) ≠

Q.44 Consider a source computer (S) transmitting a file of size 106 bits to a destination computer (D)
over a network of two routers (R1 and R2) and three links (L1, L2, and L3). L1 connects S to R1; L2
connects R1 to R2; and L3 connects R2 to D. Let each link be of length 100 km. Assume signals
travel over each link at a speed of 108 meters per second. Assume that the link bandwidth on each
link is 1Mbps. Let the file be broken down into 1000 packets each of size 1000 bits. Find the total
sum of transmission and propagation delays in transmitting the file from S to D?
(A) 1005 ms (B) 1010 ms (C) 3000 ms (D) 3003 ms
Q.45 Consider an instance of TCP’s Additive Increase Multiplicative Decrease (AIMD) algorithm where
the window size at the start of the slow start phase is 2 MSS and the threshold at the start of the first
transmission is 8 MSS. Assume that a timeout occurs during the fifth transmission. Find the
congestion window size at the end of the tenth transmission.
(A) 8 MSS (B) 14 MSS (C) 7 MSS (D) 12 MSS
Q.46
Consider the set of strings on {0,1} in which, every substring of 3 symbols has at most two zeros.
For example, 001110 and 011001 are in the language, but 100010 is not. All strings of length less
than 3 are also in the language. A partially completed DFA that accepts this language is shown
below.
The missing arcs in the DFA are

Q.47 The height of a tree is defined as the number of edges on the longest path in the tree. The function
shown in the pseudocode below is invoked as height(root) to compute the height of a binary
tree rooted at the tree pointer root.
int height (treeptr n)
{ if (n == NULL) return -1;
if (n left == NULL)
if (n right == NULL) return 0;
else return ; // Box 1
else { h1 = height (n left);
if (n right == NULL) return (1+h1);
else { h2 = height (n right);
return ; // Box 2
}
}
}
The appropriate expressions for the two boxes B1 and B2 are
(A) B1: (1+height(n right))
B2: (1+max(h1, h2))
(B) B1: (height(n right))
B2: (1+max(h1,h2))
(C) B1: height(n right)
B2: max(h1, h2)
(D) B1: (1+ height(n right))
B2: max(h1, h2)
B1
B2

Common Data Questions
Common Data for Questions 48 and 49:
Consider the following C code segment.
int a, b, c = 0;
void prtFun(void);
main( )
{ static int a = 1; /* Line 1 */
prtFun( );
a += 1;
prtFun( );
printf(“ \n %d %d ”, a, b);
}
void prtFun(void)
{ static int a = 2; /* Line 2 */
int b = 1;
a += ++b;
printf(“ \n %d %d ”, a, b);
}
Q.48 What output will be generated by the given code segment?

Q.49 What output will be generated by the given code segment if:
Line 1 is replaced by auto int a = 1;
Common Data for Questions 50 and 51:
Consider the following relations A, B and C:
A B C
Id Name Age Id Name Age Id Phone Area
12 Arun 60 15 Shreya 24 10 2200 02
15 Shreya 24 25 Hari 40 99 2100 01
99 Rohit 11 98 Rohit 20
99 Rohit 11
Q.50 How many tuples does the result of the following relational algebra expression contain? Assume
that the schema of A∪B is the same as that of A.
(A∪B) ⋈ A.Id > 40 C.Id < 15 C
(A) 7 (B) 4 (C) 5 (D) 9
Q.51 How many tuples does the result of the following SQL query contain?
SELECT A.Id
FROM A
WHERE A.Age > ALL (SELECT B.Age
FROM B
WHERE B.Name = ‘Arun’)
(A) 4 (B) 3 (C) 0 (D) 1

Linked Answer Questions
Statement for Linked Answer Questions 52 and 53:
For the grammar below, a partial LL(1) parsing table is also presented along with the grammar. Entries that
need to be filled are indicated as E1, E2, and E3. is the empty string, $ indicates end of input, and, |
separates alternate right hand sides of productions.
S a A b B | b A a B |
A S
B S
a b $
S E1 E2 S
A A S A S error
B B S B S E3
Q.52 The FIRST and FOLLOW sets for the non-terminals A and B are
(A) FIRST(A) = {a, b, } = FIRST(B)
FOLLOW(A) = {a, b}
FOLLOW(B) = {a, b, $}
(B) FIRST(A) = {a, b, $}
FIRST(B) = {a, b, }
FOLLOW(A) = {a, b}
FOLLOW(B) = {$}
(C) FIRST(A) = {a, b, } = FIRST(B)
FOLLOW(A) = {a, b}
FOLLOW(B) =
(D) FIRST(A) = {a, b} = FIRST(B)
FOLLOW(A) = {a, b}
FOLLOW(B) = {a, b}
Q.53 The appropriate entries for E1, E2, and E3 are
(A) E1: S aAbB, A S
E2: S bAaB, B S
E3: B S
(B) E1: S aAbB, S
E2: S bAaB, S
E3: S
(C) E1: S aAbB, S
E2: S bAaB, S
E3: B S
(D) E1: A S, S
E2: B S, S
E3: B S
Statement for Linked Answer Questions 54 and 55:
A computer has a 256 KByte, 4-way set associative, write back data cache with block size of 32 Bytes. The
processor sends 32 bit addresses to the cache controller. Each cache tag directory entry contains, in
addition to address tag, 2 valid bits, 1 modified bit and 1 replacement bit.
Q.54 The number of bits in the tag field of an address is
(A) 11 (B) 14 (C) 16 (D) 27
Q.55 The size of the cache tag directory is
(A) 160 Kbits (B) 136 Kbits (C) 40 Kbits (D) 32 Kbits

General Aptitude (GA) Questions
Q. 56 – Q. 60 carry one mark each.
Q.56 The cost function for a product in a firm is given by 5q2, where q is the amount of production. The
firm can sell the product at a market price of 50 per unit. The number of units to be produced by
the firm such that the profit is maximized is
(A) 5 (B) 10 (C) 15 (D) 25
Q.57 Choose the most appropriate alternative from the options given below to complete the following
sentence:

Despite several ––––––––– the mission succeeded in its attempt to resolve the conflict.
(A) attempts (B) setbacks (C) meetings (D) delegations
Q.58 Which one of the following options is the closest in meaning to the word given below?
Mitigate
(A) Diminish (B) Divulge (C) Dedicate (D) Denote
Q.59 Choose the grammatically INCORRECT sentence:
(A) They gave us the money back less the service charges of Three Hundred rupees.
(B) This country’s expenditure is not less than that of Bangladesh.
(C) The committee initially asked for a funding of Fifty Lakh rupees, but later settled for a lesser
sum.
(D) This country’s expenditure on educational reforms is very less.
Q.60 Choose the most appropriate alternative from the options given below to complete the following
sentence:

Suresh’s dog is the one ––––––––– was hurt in the stampede.
(A) that (B) which (C) who (D) whom

Q. 61 - Q. 65 carry two marks each.
Q.61 Wanted Temporary, Part-time persons for the post of Field Interviewer to conduct personal
interviews to collect and collate economic data. Requirements: High School-pass, must be
available for Day, Evening and Saturday work. Transportation paid, expenses reimbursed.
Which one of the following is the best inference from the above advertisement?
(A) Gender-discriminatory
(B) Xenophobic
(C) Not designed to make the post attractive
(D) Not gender-discriminatory
Q.62 A political party orders an arch for the entrance to the ground in which the annual convention is
being held. The profile of the arch follows the equation y = 2x – 0.1x2 where y is the height of the
arch in meters. The maximum possible height of the arch is
(A) 8 meters (B) 10 meters (C) 12 meters (D) 14 meters
2012 COMPUTER SCIENCE & INFORMATION TECH. – CS
CS-A 17/20
Q.63 An automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies
60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality test.
The ones that pass the quality test are considered reliable. Of X’s shock absorbers, 96% are reliable.
Of Y’s shock absorbers, 72% are reliable.
The probability that a randomly chosen shock absorber, which is found to be reliable, is made by Y
is
(A) 0.288 (B) 0.334 (C) 0.667 (D) 0.720
Q.64 Which of the following assertions are CORRECT?
P: Adding 7 to each entry in a list adds 7 to the mean of the list
Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list
R: Doubling each entry in a list doubles the mean of the list
S: Doubling each entry in a list leaves the standard deviation of the list unchanged
(A) P, Q (B) Q, R (C) P, R (D) R, S
Q.65 Given the sequence of terms, AD CG FK JP, the next term is
(A) OV (B) OW (C) PV (D) PW

Rest of the Questions are attached in the below file which is free of cost

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Re: GATE Computer Science Engineering Last years question papers

Can you provide me previous year Computer Science question paper of Graduate Aptitude Test in Engineering (GATE) as I will be giving the exam this year so need it for preparation?

Re: GATE Computer Science Engineering Last years question papers

The previous year Computer Science question paper of Graduate Aptitude Test in Engineering (GATE) as you will be giving the exam this year so need it for preparation is as follows:

Q.1 Which of the following options is the closest in meaning to the phrase underlined in the sentence below?
It is fascinating to see life forms cope with varied environmental conditions.
(A) adopt to (B) adapt to (C) adept in (D) accept with

Q.2 Choose the most appropriate word from the options given below to complete the following sentence.
He could not understand the judges awarding her the first prize, because he thought that her performance was quite __________.
(A) superb (B) medium (C) mediocre (D) exhilarating

Q.3 In a press meet on the recent scam, the minister said, "The buck stops here". What did the minister convey by the statement?
(A) He wants all the money (B) He will return the money
(C) He will assume final responsibility (D) He will resist all enquiries

4. The Palghat Gap (or Palakkad Gap), a region about 30 km wide in the southern part of the Western Ghats in India, is lower than the hilly terrain to its north and south. The exact reasons for the formation of this gap are not clear. It results in the neighbouring regions of Tamil Nadu getting more rainfall from the South West monsoon and the neighbouring regions of Kerala having higher summer temperatures.
What can be inferred from this passage?
(A) The Palghat gap is caused by high rainfall and high temperatures in southern Tamil Nadu and Kerala (B) The regions in Tamil Nadu and Kerala that are near the Palghat Gap are low-lying (C) The low terrain of the Palghat Gap has a significant impact on weather patterns in neighbouring parts of Tamil Nadu and Kerala (D) Higher summer temperatures result in higher rainfall near the Palghat Gap area

GATE Computer Science Engineering Last years question papers

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Last edited by Aakashd; August 12th, 2018 at 09:52 AM.