One important key to success is self-confidence. An important key to self-confidence is preparation.
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
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Correct Answer is B
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
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Correct Answer is C
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
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Correct Answer is C
4. If (z + 1/z)2 = 98, then (z2 + 1/z2) is equal to
(A) 96
(B) 99
(C) 100
(D) 94
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Correct Answer is A
5. The roots of ax2+bx+c are real and positive. a, b and c are real.
Then ax2+b|x|+c has
(A) no roots
(B) 2 real roots
(C) 3 real roots
(D) 4 real roots
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Correct Answer is D
6. 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
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Correct Answer is C
7. Geneticists say that they are very close to confirming the genetic roots of psychiatric illnesses such as depression and schizophrenia, and consequently, that doctors will be able to eradicate these diseases through early identification and gene therapy.
On which of the following assumptions does the statement above rely?
(A) Strategies are now available for eliminating psychiatric illnesses
(B) Certain psychiatric illnesses have a genetic basis
(C) All human diseases can be traced back to genes and how they are expressed
(D) In the future, genetics will become the only relevant field for identifying psychiatric illnesses
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Correct Answer is B
8. Round-trip tickets to a tourist destination are eligible for a discount of 10% on the total fare.
In addition, groups of 4 or more get a discount of 5% on the total fare. If the one way single person fare is Rs 100, a group of 5 tourists purchasing round-trip tickets will be charged Rs _________.
(A) 850
(B) 900
(C) 800
(D) 1000
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Correct Answer is A
9. In a survey, 300 respondents were asked whether they own a vehicle or not. If yes, they were further asked to mention whether they own a car or scooter or both. The irresponses are tabulated below.
10. When a point inside of a tetrahedron (a solid with four triangular surfaces) is connected by straight lines to its corners, how many (new) internal planes are created with these lines?
(A) 6
(B) 8
(C) 4
(D) 10
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Correct Answer is A
11. Consider the statement
“Not all that glitters is gold”
Predicate glitters(x) is true if x glitters and predicate gold(x) is true if x is gold.
Which one of the following logical formulae represents the above statement?
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Correct Answer is D
12. Suppose you break a stick of unit length at a point chosen uniformly at random.
Then the expected length of the shorter stick is ________
(A) 0.24 to 0.27
(B) 0.15 to 0.30
(C) 0.20 to 0.30
(D) 0.10 to 0.15
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Correct Answer is A
13. Let G=(V, E) be a directed graph where V is the set of vertices and E the set of edges.
Then which one of the following graphs has the same strongly connected components as G ?
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Correct Answer is B
14. Consider the following system of equations:
3x + 2y = 1
4x + 7z = 1
x + y + z = 3
x – 2y + 7z = 0
The number of solutions for this system is
(A) 1
(B) 0
(C) 2
(D) 3
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Correct Answer is A
15. The value of the dot product of the eigenvectors corresponding to any pair of different eigenvalues of a 4-by-4 symmetric positive definite matrix is
(A) 0
(B) 1
(C) -1
(D) 2
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Correct Answer is A
16.
(A) I only
(B) II only
(C) Both I and II
(D) Neither I nor II
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Correct Answer is C
17. Consider the following Boolean expression for F:
F(P, Q, R, S)=PQ+P'QR+P'QR'S
The minimal sum-of-products form of F is
(A) PQ+QR+QS
(B) P+Q+R+S
(C) P'+Q'+R'+S'
(D) P'R+P'R'S+P
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Correct Answer is A
18. The base (or radix) of the number system such that the following equation holds is
(A) 3
(B) 4
(C) 5
(D) 6
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Correct Answer is C
19. Consider the following program in C language:
#include <stdio.h>
main()
{
int i;
int *pi = &i;
scanf("%d", pi);
printf("%d\n", i+5);
}
Which one of the following statements is TRUE?
(A) Compilation fails.
(B) Execution results in a run-time error.
(C) On execution, the value printed is 5 more than the address of variable i.
(D) On execution, the value printed is 5 more than the integer value entered
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Correct Answer is D
20. Let G be a graph with n vertices and m edges.
What is the tightest upper bound on the running time on Depth First Search of G?
(Note: Assume that the graph is represented using adjacency matrix).
(A) Θ(n)
(B) Θ(n+m)
(C) Θ(n2)
(D) Θ(m2)
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Correct Answer is C
21. Consider a rooted Binary tree represented using pointers.
The best upper bound on the time required to determine the number of subtrees having having exactly 4 nodes O(na Logbn).
Then the value of a + 10b is ________
(A) 1
(B) 11
(C) 12
(D) 21
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Correct Answer is A
22. Consider the directed graph given below. Which one of the following is TRUE?
23. Let P be a QuickSort Program to sort numbers in ascending order using the first element as pivot.
Let t1 and t2 be the number of comparisons made by P for the inputs {1, 2, 3, 4, 5} and {4, 1, 5, 3, 2} respectively.
Which one of the following holds?
(A) t1 = 5
(B) t1 < t2
(C) t1 > t2
(D) t1 = t2
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Correct Answer is C
24. Which one of the following is TRUE?
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Correct Answer is C
25. Consider the finite automaton in the following figure.
26. A machine has a 32-bit architecture, with 1-word long instructions. It has 64 registers, each of which is 32 bits long. It needs to support 45 instructions, which have an immediate operand in addition to two register operands.
Assuming that the immediate operand is an unsigned integer, the maximum value of the immediate operand is ____________.
(A) 26383
(B) 16383
(C) 36383
(D) 46383
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Correct Answer is B
27. Which one of the following is FALSE?
(A) A basic block is a sequence of instructions where control enters the sequence at the beginning and exits at the end
(B) Available expression analysis can be used for common subexpression elimination.
(C) Live variable analysis can be used for dead code elimination
(D) x = 4*5 => x = 20 is an example of common subexpression elimination
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Correct Answer is D
28. Match the following:
Codes:
LIST 1
LIST 2
1) Waterfall model
a) Specifications can be developed incrementally
2) Evolutionary model
b) Requirements compromises are inevitable
3) Component-based software engineering
c) Explicit recognition of risk
4) Spiral development
d) Inflexible partitioning of the project into stages
(A) 1-a, 2-b, 3-c, 4-d
(B) 1-d, 2-a, 3-b, 4-c
(C) 1-d, 2-b, 3-a, 4-c
(D) 1-c, 2-a, 3-b, 4-d
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Correct Answer is B
29. Suppose a disk has 201 cylinders, numbered from 0 to 200. At some time the disk arm
is at cylinder 100, and there is a queue of disk access requests for cylinders 30, 85, 90, 100,
105, 110, 135 and 145. If Shortest-Seek Time First (SSTF) is being used for scheduling the disk
access, the request for cylinder 90 is serviced after servicing ____________ number of requests.
(A) 1
(B) 2
(C) 3
(D) 4
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Correct Answer is C
30. Which one of the following is FALSE?
(A) User level threads are not scheduled by the kernel
(B) When a user level thread is blocked, all other threads of its process are blocked
(C) Context switching between user level threads is faster than context switching between kernel level threads
(D) Kernel level threads cannot share the code segment
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Correct Answer is D
31. Consider the relation scheme R = {E, F, G, H, I, J, K, L, M, M} and the set of functional dependencies
{ {E, F} → {G}, {F} → {I, J}, {E, H} → {K, L}, K → {M},
L → {N} } on R.
What is the key for R?
(A) {E, F}
(B) {E, F, H}
(C) {E, F, H, K, L}
(D) {E}
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Correct Answer is B
32. Given the following statements:
S1: A foreign key declaration can always be replaced by an equivalent check assertion in SQL.
S2: Given the table R(a,b,c) where a and b together form the primary key, the following is a valid table definition.
CREATE TABLE S (
a INTEGER,
d INTEGER,
e INTEGER,
PRIMARY KEY (d),
FOREIGN KEY (a) references R)
Which one of the following statements is CORRECT?
(A) S1 is TRUE and S2 is FALSE.
(B) Both S1 and S2 are TRUE.
(C) S1 is FALSE and S2 is TRUE.
(D) Both S1 and S2 are FALSE.
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Correct Answer is D
33. Consider the following three statements about link state and distance vector routing protocols, for a large network with 500 network nodes and 4000 links.
[S1] The computational overhead in link state protocols is higher than in distance vector protocols.
[S2] A distance vector protocol (with split horizon) avoids persistent routing loops, but not a link state protocol.
[S3] After a topology change, a link state protocol will converge faster than a distance vector protocol.
Which one of the following is correct about S1, S2, and S3 ?
(A) S1, S2, and S3 are all true.
(B) S1, S2, and S3 are all false.
(C) S1 and S2 are true, but S3 is false
(D) S1 and S3 are true, but S2 is false
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Correct Answer is D
34. Which of the following are used to generate a message digest by the network security protocols?
(P) RSA
(Q) SHA-1
(R) DES
(S) MD5
(A) P and R only
(B) Q and R only
(C) Q and S only
(D) R and S only
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Correct Answer is C
35. Identify the correct order in which the following actions take place in an interaction between a web browser and a web server.
1. The web browser requests a webpage using HTTP.
2. The web browser establishes a TCP connection
with the web server.
3. The web server sends the requested webpage
using HTTP.
4. The web browser resolves the domain name
using DNS.
(A) 4, 2, 1, 3
(B) 1, 2, 3, 4
(C) 4, 1, 2, 3
(D) 2, 4, 1, 3
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Correct Answer is A
36. Consider a token ring network with a length of 2 km having 10 stations including a
monitoring station.
The propagation speed of the signal is 2×108 m/s and the token transmission time is
ignored.
If each station is allowed to hold the token for 2 µs, the minimum time for which the monitoring
station should wait (in µs)
before assuming that the token is lost is _______.
(A) 28 to 30
(B) 20 to 22
(C) 0 to 2
(D) 31 to 33
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Correct Answer is A
37. Let the size of congestion window of a TCP connection be 32 KB when a timeout occurs. The round trip time of the connection is 100 msec and the maximum segment size used is 2 KB. The time taken (in msec) by the TCP connection to get back to 32 KB congestion window is _________.
(A) 1100 to 1300
(B) 800 to 1000
(C) 1400 to 1600
(D) 1500 to 1700
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Correct Answer is A
38. Consider a selective repeat sliding window protocol that uses a frame size of 1 KB to
send data on a 1.5 Mbps link with a one-way latency of 50 ms. To achieve a link utilization of
60%, the minimum number of bits required to represent the sequence number field is ________.
(A) 3
(B) 4
(C) 5
(D) 6
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Correct Answer is C
39. Consider the following four schedules due to three transactions (indicated by the subscript) using read and write on a data item x, denoted by r(x) and w(x) respectively.
Which one of them is conflict serializable.
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Correct Answer is D
40. Given the following two statements:
S1: Every table with two single-valued
attributes is in 1NF, 2NF, 3NF and BCNF.
S2: AB → C, D → E, E → C is a minimal cover for
the set of functional dependencies
AB → C, D → E, AB → E, E → C.
Which one of the following is CORRECT?
(A) S1 is TRUE and S2 is FALSE.
(B) Both S1 and S2 are TRUE.
(C) S1 is FALSE and S2 is TRUE.
(D) Both S1 and S2 are FALSE
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Correct Answer is A
41. An operating system uses the Banker’s algorithm for deadlock avoidance when managing the allocation of three resource types X, Y, and Z to three processes P0, P1, and P2. The table given below presents the current system state. Here, the Allocation matrix shows the current number of resources of each type allocated to each process and the Max matrix shows the maximum number of resources of each type required by each process during its execution.
42. Consider the following set of processes that need to be scheduled on a single CPU. All the times are given in milliseconds.
43. Assume that there are 3 page frames which are initially empty.
If the page reference string is
1, 2, 3, 4, 2, 1, 5, 3, 2, 4, 6,
the number of page faults using the optimal replacement policy is__________.
(A) 5
(B) 6
(C) 7
(D) 8
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Correct Answer is C
44. A canonical set of items is given below
S → L. > R
Q → R.
On input symbol < the set has
(A) a shift-reduce conflict and a reduce-reduce conflict.
(B) a shift-reduce conflict but not a reduce-reduce conflict.
(C) a reduce-reduce conflict but not a shift-reduce conflict.
(D) neither a shift-reduce nor a reduce-reduce conflict
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Correct Answer is D
45. Let L be a language and L' be its complement.
Which one of the following is NOT a viable possibility?
(A) Neither L nor L' is recursively enumerable (r.e.).
(B) One of L and L' is r.e. but not recursive; the other is not r.e.
(C) Both L and L' are r.e. but not recursive.
(D) Both L and L' are recursive
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Correct Answer is C
46. Which of the regular expressions given below represent the following DFA?
47. There are 5 bags labeled 1 to 5. All the coins in a given bag have the same weight.
Some bags have coins of weight 10 gm, others have coins of weight 11 gm. I pick 1, 2, 4, 8, 16
coins respectively from bags 1 to 5. Their total weight comes out to 323 gm.
Then the product of the labels of the bags having 11 gm coins is ___.
(A) 15
(B) 12
(C) 8
(D) 20
1
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Correct Answer is B
48. Suppose a polynomial time algorithm is discovered that correctly computes the largest clique in a given graph. In this scenario, which one of the following represents the correct Venn diagram of the complexity classes P, NP and NP Complete (NPC)?
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Correct Answer is D
49. The minimum number of comparisons required to find the minimum and the maximum of 100 numbers is _________________.
(A) 148
(B) 147
(C) 146
(D) 140
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Correct Answer is A
50. Consider the following C function in which size is the number of elements in the array E:
int MyX(int *E, unsigned int size)
{
int Y = 0;
int Z;
int i, j, k;
for(i = 0; i < size; i++)
Y = Y + E[i];
for(i = 0; i < size; i++)
for(j = i; j < size; j++)
{
Z = 0;
for(k = i; k <= j; k++)
Z = Z + E[k];
if (Z > Y)
Y = Z;
}
return Y;
}
The value returned by the function MyX is the
(A) maximum possible sum of elements in any sub-array of array E.
(B) maximum element in any sub-array of array E.
(C) sum of the maximum elements in all possible sub-arrays of array E.
(D) the sum of all the elements in the array E
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Correct Answer is A
51. Consider the following pseudo code. What is the total number of multiplications to be performed?
D = 2
for i = 1 to n do
for j = i to n do
for k = j + 1 to n do
D = D * 3
(A) Half of the product of the 3 consecutive integers.
(B) One-third of the product of the 3 consecutive integers.
(C) One-sixth of the product of the 3 consecutive integers.
(D) None of the above
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Correct Answer is C
52. Consider a hash table with 9 slots. The hash function is h(k) = k mod 9. The collisions are resolved by chaining. The following 9 keys are inserted in the order:
5, 28, 19, 15, 20, 33, 12, 17, 10.
The maximum, minimum, and average chain lengths in the hash table, respectively, are
(A) 3, 0, and 1
(B) 3, 3, and 3
(C) 4, 0, and 1
(D) 3, 0, and 2
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Correct Answer is A
53. Consider a 6-stage instruction pipeline, where all stages are perfectly balanced.
Assume that there is no cycle-time overhead of pipelining. When an application is executing on
this 6-stage pipeline, the speedup achieved with respect to non-pipelined execution if 25% of
the instructions incur 2 pipeline stall cycles is
(A) 4
(B) 8
(C) 6
(D) 7
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Correct Answer is A
54. An access sequence of cache block address is of length N and contains n unique block addresses.
The number of unique block addresses between two consecutive accesses to the same block address is bounded above by k.
What is the miss ration is the access sequence is passed through a cache of associativity A≥k exercising least-recently used replacement policy
(A) n/N
(B) 1/N
(C) 1/A
(D) k/n
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Correct Answer is A
55. Consider a 4-to-1 multiplexer with two select lines S1 and S0, given below
56. The function f(x) = x sin x satisfies the following equation f''(x) + f(x) + t cosx = 0.
The value of t is
(A) -1
(B) -2
(C) 1
(D) 2
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Correct Answer is B
57. A function is continuous in the interval [0, 2]. It is known that f(0) = f(2) = -1 and f(1) = 1.
Which one of the following statements must be true.
(A) There exist a y in the interval (0, 1), such that f(y) = f(y+1)
(B) For every y in the interval (0, 1) , f(y) = f(2-y)
(C) The maximum value of the function in the interval (0, 2) is 1
(D) There exist a y in the interval (0, 1), such that f(y) = -f(2-y)
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Correct Answer is A
58. Four fair six-sided dice are rolled. The probability that the sum being 22 is X/1296.
The value of X is ________
(A) 7
(B) 8
(C) 9
(D) 10
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Correct Answer is D
59. A pennant is a sequence of numbers, each number being 1 or 2. An n-pennant is a
sequence of numbers with sum equal to n. For example, (1, 1, 2) is a 4-pennant.
The set of all possible 1-pennants is {(1)}, the set of all possible 2-pennants is {(2),
(1,1)} and the set of all 3-pennants is {(2,1), (1, 1,1), (1,2)}.
Note that the pennant (1,2) is not the same as the pennant (2,1).
The number of 10- pennants is ______________.
(A) 78.9 to 79.1
(B) 88.9 to 89.1
(C) 98.9 to 99.1
(D) 68.9 to 69.1
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Correct Answer is B
60. Let S denote the set of all functions f: {0,1}4 → {0,1}. Denote by N the number of functions from S to the set {0,1}.
The value of log2 log2 N is ______.
(A) 12
(B) 13
(C) 15
(D) 16
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Correct Answer is D
61. Consider an undirected graph G where self-loops are not allowed.
The vertex set of G is {(i, j): 1≤i≤12, 1≤j≤12}.
There is an edge between (a, b) and (c, d) if |a-c|≤1 and |b-d|≤1.
The number of edges in this graph is __________.
(A) 500
(B) 502
(C) 506
(D) 510
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Correct Answer is C
62. An ordered n-tuple (d1, d2, ...., dn) with d1 ≥ d1 ≥ .... ≥ dn
is called graphic if there exists a simple undirected graph with n vertices having degrees d1, d2, ..., dn
respectively.
Which of the following 6-tuples is NOT graphic?
(A) (1, 1, 1, 1, 1, 1)
(B) (2, 2, 2, 2, 2, 2)
(C) (3, 3, 3, 1, 0, 0)
(D) (3, 2, 1, 1, 1, 0)
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Correct Answer is C
63. Which one of the following propositional logic formulas is TRUE when exactly two of p, q, and r are TRUE?
View/Hide Ans
Correct Answer is B
64. Given the following schema:
employees(emp-id, first-name, last-name, hire-date, dept-id, salary)
departments(dept-id, dept-name, manager-id, location-id)
You want to display the last names and hire dates of all latest hires in their respective departments in the location ID 1700. You issue the following query:
SQL> SELECT last-name, hire-date
FROM employees
WHERE (dept-id, hire-date) IN
(SELECT dept-id, MAX(hire-date)
FROM employees JOIN departments USING(dept-id)
WHERE location-id = 1700
GROUP BY dept-id);
What is the outcome?
(A) It executes but does not give the correct result.
(B) It executes and gives the correct result.
(C) It generates an error because of pairwise comparison.
(D) It generates an error because the GROUP BY clause cannot be used with table joins in a subquery
View/Hide Ans
Correct Answer is B
65. Consider two processors P1 and P2 executing the same instruction set.
Assume that under identical conditions, for the same input, a program running on P2 takes 25% less time but incurs
20% more CPI (clock cycles per instruction) as compared to the program running on P1.
If the clock frequency of P1 is 1 GHz, then the clock frequency of P2 (in GHz) is _________.
(A) 1.6
(B) 3.2
(C) 1.2
(D) 0.8
View/Hide Ans
Correct Answer is A
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