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QUESTION: 1

**Q. 1 – Q. 5 carry one mark each.**

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.

Solution:

In the above phrase, underlined part is *cope with*.

“Cope” – It’s a verb.

Meaning – deal effectively with some difficulty.

Example Sentence – “his ability to cope with stress”

“adopt” – verb.

Meaning – choose to take up or follow (an idea, method, or course of action).

Sentence – “this approach has been adopted by many big banks”

“adapt” – verb.

Meaning – become adjusted to new conditions.

sentence -“a large organization can be slow to adapt to change”

“adept” – adjective

Meaning – very skilled or proficient at something.

Sentence – “she is adept at cutting through red tape”

“accept” – verb

Meaning – consent to receive or undertake (something offered).

Sentence – “he accepted a pen as a present”

Hence, only “adapt” goes right with the phrase described in the question.

QUESTION: 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 __________.

Solution:

QUESTION: 3

In a press meet on the recent scam, the minister said, "The buck stops here". What did the minister

convey by the statement?

Solution:

*Answer can only contain numeric values

QUESTION: 4

If (z + 1/z)^{2} = 98, compute (z^{2} + 1/z^{2}).

Solution:

QUESTION: 5

The roots of ax^{2} + bx+ ?? = 0 are real and positive. a, b and c are real. Then ax^{2} + b|x| + c = 0

has

Solution:

QUESTION: 6

**Q. 6 – Q. 10 carry two marks each.**

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?

Solution:

QUESTION: 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?

Solution:

*Answer can only contain numeric values

QUESTION: 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 ___________.

Solution:

QUESTION: 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.

What percent of respondents do not own a scooter?

Solution:

*Answer can only contain numeric values

QUESTION: 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? _____________

Solution:

QUESTION: 11

**Q. 11 – Q. 35 carry one mark each.**

**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?

Solution:

*Answer can only contain numeric values

QUESTION: 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 ________ .

Solution:

QUESTION: 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 ?

Solution:

*Answer can only contain numeric values

QUESTION: 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 __________________

Solution:

*Answer can only contain numeric values

QUESTION: 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 _____________________.

Solution:

QUESTION: 16

Let the function

Solution:

QUESTION: 17

Consider the following Boolean expression for F:

Solution:

*Answer can only contain numeric values

QUESTION: 18

The base (or radix) of the number system such that the following equation holds is____________.

312/20 = 13.1

Solution:

*Answer can only contain numeric values

QUESTION: 19

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 __

Solution:

QUESTION: 20

Consider the following program in C language:

#include <stdio.h>

main()

{

int i;

int *pi = &i;

scanf(“%d”,pi);

printf(“%d
”, i+5);

}

Which one of the following statements is TRUE?

Solution:

QUESTION: 21

Solution:

*Answer can only contain numeric values

QUESTION: 22

Consider a rooted n node binary tree represented using pointers. The best upper bound on the time required to determne the numebr of subtree having exactly 4 nodes is 0 (n^{a} log^{b} n). then the value of a + 10b is ______.

Solution:

QUESTION: 23

consider the directed graph given below

which one of the following is true

Solution:

QUESTION: 24

Let P be a quicksort program to sort numbers in ascending order using the first elements as the pivot. Let t_{1} ad t_{2} be the number of comparisons made by P for the inputs [1 2 3 4 5] and [4 1 5 3 2] respectively. wich one of the following holds

Solution:

QUESTION: 25

Which one of the following is true ?

Solution:

QUESTION: 26

Consider the finite automaton in the following figure.

What is the set of reachable states for the input string 0011?

Solution:

QUESTION: 27

Which one of the following is FALSE?

Solution:

QUESTION: 28

Match the following:

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

Solution:

*Answer can only contain numeric values

QUESTION: 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.

Solution:

QUESTION: 30

Which one of the following is FALSE?

Solution:

QUESTION: 31

Consider the relation scheme R = (E,F,G,H,I,J,L,M,N) 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 ?

Solution:

QUESTION: 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?

Solution:

QUESTION: 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 ?

Solution:

QUESTION: 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

Solution:

QUESTION: 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.

Solution:

*Answer can only contain numeric values

QUESTION: 36

**Q. 36 – Q. 65 carry two marks each.**

**Q**

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 × 10?? m/s and the token transmission time is

ignored. If each station is allowed to hold the token for 2 μsec, the minimum time for which the

monitoring station should wait (in μsec)before assuming that the token is lost is _______.

Solution:

*Answer can only contain numeric values

QUESTION: 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 _________.

Solution:

*Answer can only contain numeric values

QUESTION: 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 msec. To achieve a link utilization of 60%, the

minimum number of bits required to represent the sequence number field is ________.

Solution:

QUESTION: 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?

Solution:

QUESTION: 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?

Solution:

QUESTION: 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.

There are 3 units of type X, 2 units of type Y and 2 units of type Z still available. The system is

currently in a safe state. Consider the following independent requests for additional resources in the

current state:

REQ1: P0 requests 0 units of X, 0 units of Y and 2 units of Z

REQ2: P1 requests 2 units of X, 0 units of Y and 0 units of Z

Which one of the following is TRUE?

Solution:

*Answer can only contain numeric values

QUESTION: 42

Consider the following set of processes that need to be scheduled on a single CPU. All the times are

given in milliseconds.

Using the shortest remaining time first scheduling algorithm, the average process turnaround time

(in msec) is ____________________.

Solution:

*Answer can only contain numeric values

QUESTION: 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__________.

Solution:

QUESTION: 44

A canonical set of items is given below

S ? L . > R

Q ? R .

On input symbol < the set has

Solution:

QUESTION: 45

Let L be a language and be its complement. Which one of the following is NOT a viable

possibility?

Solution:

QUESTION: 46

Which of the regular expressions given below represent the following DFA?

I) 0*1(1+00*1)*

II) 0*1*1+11*0*1

III) (0+1)*1

Solution:

*Answer can only contain numeric values

QUESTION: 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 ___.

Solution:

QUESTION: 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)?

Solution:

*Answer can only contain numeric values

QUESTION: 49

The minimum number of comparisons required to find the minimum and the maximum of 100

numbers is _________________.

Solution:

QUESTION: 50

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,

Solution:

QUESTION: 51

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

Solution:

QUESTION: 52

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

Solution:

*Answer can only contain numeric values

QUESTION: 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 ______________________.

Solution:

QUESTION: 54

Solution:

QUESTION: 55

Consider the 4 - to -1 multiplexer with two select lines S_{1} and S_{0} given below

The minimal sum of product form of the boolean expression for the output F of the multiplexer is

Solution:

*Answer can only contain numeric values

QUESTION: 56

The function F(x) = x sin x satisfies the following equations: f" (x) + f(x) + t cos x= 0. The value of t is

Solution:

QUESTION: 57

A function f(x) 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 statemnts must be true?

Solution:

*Answer can only contain numeric values

QUESTION: 58

four fair six-sided dice are rolled. the probability that the sum of the results being 22 is x/ 1296 . The value of x is

Solution:

*Answer can only contain numeric values

QUESTION: 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 ______________.

Solution:

*Answer can only contain numeric values

QUESTION: 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 log_{2 }log_{2 }N_{ }is ______.

Solution:

*Answer can only contain numeric values

QUESTION: 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 __________.

Solution:

QUESTION: 62

An ordered n-tuple (d_{1}, d_{2}, … , d_{n}) with d_{1} ≥ d_{2} ≥ ? ≥ d_{n} is called graphic if there exists a simple

undirected graph with n vertices having degrees d_{1} , d_{2,} ? , d_{n} respectively. Which of the following

6-tuples is NOT graphic?

Solution:

QUESTION: 63

f the following propositional logic formulas is TRUE when exactly two of p, q, and r

are TRUE?

Solution:

QUESTION: 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?

Solution:

*Answer can only contain numeric values

QUESTION: 65

Consider two processors P_{1} and P_{2} executing the same instruction set. Assume that under identical

conditions, for the same input, a program running on P_{2} takes 25% less time but incurs 20% more

CPI (clock cycles per instruction) as compared to the program running on P_{1}. If the clock frequency

of P_{1} is 1GHz, then the clock frequency of P_{2} (in GHz) is _________.

Solution:

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