Roll No:
Application No:
Name:
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Exam Date: 06-Oct-2020
Exam Time: 09:00-12:00
Examination: 1. Course Code - Ph.D.
2. Field of Study - Computer & Systems Sciences (SCSH)
SECTION 1 - SECTION 1
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Question No.1 (Question Id - 63)
Consider two languages over {a, b} :
L1 = {anbm | n = 1, m = 0} ? {ba}
L2 = {bm | m = 1}
Then L1/L2 is:
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(A) {an | n = 1}
(B) {anbm | n = 1, m = 0} (Correct Answer)
(C) {anbm | n = 1, m = 1}
(D) {an | n = 1} ? {ba}
Question No.2 (Question Id - 54)
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Consider the following transactions involving two bank accounts x and y.
read (x); x := x - 50; write (x); read (y); y := y + 50; write (y)
The constraint that the sum of the accounts x and y should remain constant is that of
(A) Atomicity
(B) Consistency (Correct Answer)
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(C) Isolation
(D) Durability
Question No.3 (Question Id - 59)
The below question has been dropped and full marks are awarded.
Which of the following is not true related to binary floating point representation in IEEE-754 format?
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(A) 1 bit for sign, 11 bits for exponent, 52 bits for fraction
(B) 12 bits for biased exponent, 52 bits for fraction
(C) 1 bit for sign, 11 bits for biased exponent, 52 bits for fraction
(D) 1 bit for sign, (10 + 1 bit sign) bits for exponent, 52 bits for fraction
Question No.4 (Question Id - 71)
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Consider the following five relations defined on the set A = {1, 2, 3} :
Ø = Empty relation
R = {(1, 1), (1, 2), (1, 3), (3, 3)}
S = {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3)}
T = {(1, 1), (1, 2), (2, 2), (2, 3)}
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A x A = universal relation
Which of the above relations has reflexive property ?
(A) Only R and S
(B) Only S and A x A (Correct Answer)
(C) Only R and T
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(D) Only S and T
Question No.5 (Question Id - 20)
Which of the following categories of intervals are known?
(A) Inclusive
(B) Exhaustive
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(C) Mutually exclusive (Correct Answer)
(D) Mutually exclusive and exhaustive
Question No.6 (Question Id - 30)
Consider the following two statements about Partial correlation :
S1. It measures separately the relationship between two variables in such a way that the effects of other related variables are eliminated.
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S2. It measures the relation between a dependent variable and a particular independent variable by holding all other variables constant.
Which of the following is not related to Partial correlation?
(A) Only S1 is true
(B) Only S2 is true
(C) Both S1 and S2 are true (Correct Answer)
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(D) Neither S1 nor S2 is true
Question No.7 (Question Id - 28)
Which of the following is true Systematic bias in sampling analysis ?
(A) Defective measuring device
(B) Indeterminacy principle
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(C) Inappropriate sampling frame
(D) All of the above (Correct Answer)
Question No.8 (Question Id - 7)
The below question has been dropped and full marks are awarded.
Which of the factor should not be considered for a good research design ?
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(A) The means of obtaining information.
(B) The availability and skills of the researcher and his staff.
(C) The nature of the problem to be studied.
(D) All of the above.
Question No.9 (Question Id - 36)
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If the probability of an event E in a given experiment is p and the experiment is repeated n times, then the probability that E occurs k times in any order, for very large n, npq >>1, (p + q = 1) and (k - np| is of order vnpq, is approximated by:
(A) 1/v2pnpq e-(k-np)2/2npq
(B) 1/v2pnpq e-(k-np)2/2pq
(C) 1/v2pnpq (Correct Answer)
(D) 1/v2ppq e-(k-np)2/2pq
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Question No.10 (Question Id - 31)
A board is tested by a method by:
(A) Axiomatically defined
(B) Relative frequency
(C) Non-Inductive reasoning (Correct Answer)
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(D) A ratio of favorable to total numbers of alternative
Question No.11 (Question Id - 4)
Consider the following statements in reference to the steps of a technique involved in defining a research problem :
S1. Statement of the problem in a general way and understanding the nature of the problem.
S2. Surveying the available literature and developing the ideas through discussions.
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S3. Rephrasing the research problem into a non-working proposition.
Which of the following holds true ?
(A) Only S1 true
(B) Only S2 true
(C) Only S3 false (Correct Answer)
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(D) All S1, S2 and S3 are true
Question No.12 (Question Id - 12)
Which of the following is not true for the Chi-Square test?
(A) It is parametric (Correct Answer)
(B) It tests a hypothesis
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(C) It is useful for estimation (Correct Answer)
(D) It can be applied to a complex contingency table with several classes
Question No.13 (Question Id - 93)
The index of a subgroup H of the group G is :
(A) O(G)/O(H) (Correct Answer)
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(B) O(H)/O(G)
(C) O(G).O(H)
(D) O(G) - O(H)
Question No.14 (Question Id - 14)
Mean, Median and Mode are:
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(A) Measures of deviation
(B) Ways of sampling
(C) Measures of central tendency (Correct Answer)
(D) None of the above
Question No.15 (Question Id - 81)
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Consider the followings:
A. Completeness I. How long does it take to find a solution.
B. Time Complexity II. How much memory needs to perform the search.
C. Space Complexity III. Is the guaranteed to find the solution.
Which is correct matching ?
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(A) A-III, B - II, C - I
(B) A-I, B - II, C - III
(C) A-III, B - I, C - II (Correct Answer)
Question No.16 (Question Id - 45)
A family has two children. The conditional probability that both are boys, given that at least one of them is a boy, is :
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(A) 1/2
(B) 1/3 (Correct Answer)
(C) 1/4
(D) 3/4
Question No.17 (Question Id - 17)
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How is the stochastic equation of information solved ?
(A) By statistical rules
(B) By dynamic rules
(C) By statistical and dynamic rules (Correct Answer)
(D) None of these
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Question No.18 (Question Id - 23)
Motivation Research is a kind of :
(A) Qualitative Research (Correct Answer)
(B) Fundamental Research
(C) Conceptual Research
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(D) Quantitative Research
Question No.19 (Question Id - 82)
A binary search tree whose left and right subtrees differ in height by at most 1 is called :
(A) AVL tree (Correct Answer)
(B) Red-Black tree
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(C) Lemma tree
(D) None of the above
Question No.20 (Question Id - 24)
Consider the following statements for the criteria of good research :
S1. The analysis of data should be sufficiently adequate to reveal its significance and the methods of analysis used should be appropriate.
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S2. Conclusions should not be confined to those justified by the data of the research and limited to those for which the data provide an adequate basis.
Which of the following is true ?
(A) Only S1 true (Correct Answer)
(B) Only S2 true
(C) Both S1 and S2 true
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(D) Both S1 and S2 false
Question No.21 (Question Id - 94)
If T:V3 ? V4 is defined as T(x1, x2, x3) = (x1, x1+x2, x3, x1+x3) and S:V4?V2 is defined as S(x1, x2, x3 ,x4) = (x1+x2, x3+x4) then ST (x1, x2, x3) is :
(A) (x1+2x2, x3+x2, x3)
(B) (2x1+x2, x1+2x3) (Correct Answer)
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(C) (x1+2x2, x2+2x3)
(D) (x2+2x3,2x1+2x2)
Question No.22 (Question Id - 99)
For the iterative methods to solve a system of linear equations, which of the following is true ?
(A) Gauss - Seidel method is also known as the method of simultaneous displacements
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(B) Jacobi method is also known as the method of successive displacement
(C) Jacobi method is known as the method of simultaneous displacements and Gauss - Seidel method is known as method of successive displacement. (Correct Answer)
(D) None of the above
Question No.23 (Question Id - 68)
In a survey of 120 people reading three magazines, it was found that 65 people read Outlook, 20 read both Outlook and Observer, 45 read Observer, 25 read both Outlook and Chronicle, 42 read Chronicle, 15 read both Observer and Chronicle, 8 read all three magazines. The number of people who read at least one of the three magazines is :
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(A) 100 (Correct Answer)
(B) 82
(C) 150
(D) 33
Question No.24 (Question Id - 64)
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Which is not true about operating system ?
(A) It is intermediary between the users of computer and the computer hardware
(B) It provides an environment in which a user can easily interface with computer to execute programs
(C) It is an algorithm that manages the hardware (Correct Answer)
(D) It helps to increase efficiency
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Question No.25 (Question Id - 46)
Suppose that the joint probability mass function p (x, y) of random variables X and Y is given by p (1, 1) = 0.5, p (1, 2) = 0.1, p (2, 1) = 0.1,
p (2, 2) = 0.3. The conditional probability mass function of X given that Y = 1 is :
(A) 2/6
(B) 5/6 (Correct Answer)
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(C) 1/6
(D) 3/6
Question No.26 (Question Id - 73)
For the X.25 networks, which of the following is not true ?
(A) They are connection oriented
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(B) The data size is of maximum size 128 bytes
(C) The header size is of 3 bytes
(D) The connection number is of 10 bits (Correct Answer)
Question No.27 (Question Id - 6)
Which is not a part of research design ?
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(A) Sampling design
(B) Operational design
(C) Observational design
(D) Non-statistical design (Correct Answer)
Question No.28 (Question Id - 15)
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Which of the following is not Graphic representation ?
(A) Pie Chart
(B) Bar Chart
(C) Table (Correct Answer)
(D) Histogram
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Question No.29 (Question Id - 25)
Which of the following is optional for research design ?
(A) A clear statement of the research problem
(B) Procedures and techniques to be used for gathering information
(C) Population to be studied
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(D) None of the above (Correct Answer)
Question No.30 (Question Id - 89)
The function f(x) = 2x2-8/x2-16
(A) Concave up to the left of x = -4, is concave down between x = -4 and x = 4, and is concave up to the right of x = 4. (Correct Answer)
(B) Concave down to the left of x = -4, is concave up between x = -4 and x = 4, and is concave down to the right of x = 4.
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(C) Has one inflection point
(D) Has two infection points
Question No.31 (Question Id - 95)
If T is a linear transformation and n is a positive integer, then T is :
(A) Nilpotent if T2 = T and idempotent if Tn = 0
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(B) Idempotent if T2 = T and nilpotent if Tn = 0 (Correct Answer)
(C) Idempotent if T2 = T and nilpotent if Tn = T
(D) Nilpotent if T2 = T and idempotent if Tn = T
Question No.32 (Question Id - 55)
What are the min and max number of tables required to convert an ER diagram with 2 entities and 1 relationship between them, with partial participation constraints of both entities ?
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(A) Min 1 and max 2
(B) Min 1 and max 3
(C) Min 2 and max 3 (Correct Answer)
(D) Min 2 and max 2
Question No.33 (Question Id - 84)
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Consider the following program :
#include <stdio.h>
void main()
{ float a=0.7; if (a<0.7) printf("C"); else printf("C++");--- Content provided by FirstRanker.com ---
}
The output of the above program is :
(A) C (Correct Answer)
(B) C++
(C) Compiler error a float cannot be compared with a double.
(D) None of the above
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Question No.34 (Question Id - 49)
Let X be a uniformly distributed random variable over (0, 1). Then the expected value of X³ is :
(A) 1/4 (Correct Answer)
Question No.35 (Question Id - 5)
Which of the following is not true ?
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Complex random sampling design is based on
(A) Systematic sampling
(B) Stratified sampling
(C) Area sampling
(D) Judgment sampling (Correct Answer)
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Question No.36 (Question Id - 86)
Consider the following program :
#include <stdio.h>
int fun();--- Content provided by FirstRanker.com ---
int i;
void main()
{ while (i) { fun(); main(); } printf (" hello");
}
fun()--- Content provided by FirstRanker.com ---
{ printf("Hi");
}
The output of the above program is :
(A) Hello (Correct Answer)
(B) Hi Hello
(C) No output
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(D) Infinite
Question No.37 (Question Id - 72)
The syntax and semantic of the information to be transmitted using OSI model is related to :
(A) Physical layer
(B) Network layer
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(C) Transport layer
(D) Presentation layer (Correct Answer)
Question No.38 (Question Id - 65)
Which is not true about multiprogramming ?
(A) It refers to program in multiple languages (Correct Answer)
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(B) Multiple jobs can be kept in memory at the same time
(C) It allows timesharing
(D) Multiple users can use computer system at the same time interactively
Question No.39 (Question Id - 33)
Train X arrives at the station at random in the time interval (0,T), stopping for a minutes; train Y arrives independently in the same interval, stopping for b minutes. The probability that X will arrive before Y is :
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(A) 1/3
(B) 1/2 (Correct Answer)
(C) 1
Question No.40 (Question Id - 26)
Consider the following statements for qualities of a good research :
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S1. It should be systematic but may not be logical.
S2. It should be empirical but may not be replicable.
Which of the following is true?
(A) Only S1 is true
(B) Only S2 is true
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(C) Both S1 and S2 are true
(D) Both S1 and S2 are false (Correct Answer)
Question No.41 (Question Id - 53)
Consider the relational scheme with attributes V, W, X, Y, Z that has primary key V Y. Which of the following is not a superkey?
(A) VXYZ
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(B) VWX Z (Correct Answer)
(C) VWXY
(D) VWXYZ
Question No.42 (Question Id - 66)
Consider the following two statements about cache memory :
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S1. Cache coherency is generally related to multiprocessor environment.
S2. Cache consistency is usually related to distributed environment.
Which of the following is true ?
(A) Only S1 is true
(B) Only S2 is true
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(C) Both S1 and S2 are true (Correct Answer)
(D) Both S1 and S2 are false
Question No.43 (Question Id - 98)
The order of convergence of Newton - Raphson method is :
(A) 1.0
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(B) 1.5
(C) 1.6
(D) 2.0 (Correct Answer)
Question No.44 (Question Id - 39)
Let X be an arbitrary random variable with probability density function f (x) and finite variance s2. The probability P{E{X} - e < X < E{X} + e}, e > 0, irrespective of the shape of f (x), is:
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(A) = s2/e2
(B) = 1 - s2/e2 (Correct Answer)
(C) = 1 - s2/e2
(D) < s2/e2
Question No.45 (Question Id - 96)
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If T:V3 ? V2 is defined as T(x1, x2, x3) = (x1 - x2, x2 + x3), then the Null space of T, N(T) is given by :
(A) [(1, -1, -1)]
(B) [(-1, 1, 1)]
(C) [(1,-1, 1)]
(D) [(1, 1, -1)] (Correct Answer)
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Question No.46 (Question Id - 40)
A box has 10 white and 5 red balls; a second bag has 20 white and 20 red balls. One bag is randomly selected and from this bag, a ball is randomly picked. The probability that the picked ball is white is :
(A) 7/12 (Correct Answer)
(B) 5/12
(C) 6/11
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(D) 5/11
Question No.47 (Question Id - 100)
Suppose f(x) is continuous on some interval [a, b] and f(a)f(b) < 0. Consider the following statements :
S1. The equation f(x) = 0 has at least one real root in the interval (a, b).
S2. The equation f(x) = 0 has odd number of roots in the interval (a, b).
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Which of the following is true ?
(A) S1 only
(B) S2 only
(C) Both S1 and S2 (Correct Answer)
(D) Neither S1 nor S2
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Question No.48 (Question Id - 41)
In a fair dice experiment, a random variable X is defined by
X(fi) = 10i, fi, i = 1, 2,...6, is ith face of dice.
Let F denote the distribution function of X, then the value of F (100) is :
(A) 0
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(B) 1/2
(C) 1/3
(D) 1 (Correct Answer)
Question No.49 (Question Id - 92)
If a group G is of prime order, then the group G has :
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(A) Infinite numbers of subgroups
(B) Finitely many subgroups
(C) Only two subgroups (Correct Answer)
(D) Only one subgroup
Question No.50 (Question Id - 19)
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Which of the following represents the fiftieth percentile in a set of numbers arranged in order of magnitude ?
(A) Mode
(B) Median (Correct Answer)
(C) Mean
(D) Variance
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Question No.51 (Question Id - 38)
Question No.52 (Question Id - 44)
Four fair coins are flipped if the outcome are assumed independent, then the probability of getting two heads and two tails is :
(A) 1/8
(B) 3/8 (Correct Answer)
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(C) 5/8
(D) 7/8
Question No.53 (Question Id - 8)
Which one is not important concept related to the research design ?
(A) Dependent and independent variables
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(B) Extraneous variable
(C) Research hypothesis
(D) Non-confounded relationship (Correct Answer)
Question No.54 (Question Id - 47)
Suppose the joint density function of random variables X and Y is given by
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f(x,y) = 6xy (2-x-y), 0<x, y <1
0, Otherwise
Then the conditional expectation of X given that Y = y, where 0 < y < 1, is :
(A) 3-4y/5-6y (Correct Answer)
(B) 3-4y/5-6y
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(C) 3-5y/6-8y
(D) None of these
Question No.55 (Question Id - 37)
A coin with probability of getting head as p is tossed n times. The probability getting k heads is :
(A) (n/k) (p)k (1-p)n-k (Correct Answer)
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(B) (n/k) (p)n (1-p)-k
(C) (n/k) (p)n-k (1-p)k
(D) (n/k) (p)-n (1-p)k
Question No.56 (Question Id - 56)
Which of the following is not related to the internal memory?
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(A) Word
(B) Addressable unit
(C)
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