Computer Science  Mathematical Foundation of Computer Science
Quizsummary
0 of 212 questions completed
Questions:
 1
 2
 3
 4
 5
 6
 7
 8
 9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
 100
 101
 102
 103
 104
 105
 106
 107
 108
 109
 110
 111
 112
 113
 114
 115
 116
 117
 118
 119
 120
 121
 122
 123
 124
 125
 126
 127
 128
 129
 130
 131
 132
 133
 134
 135
 136
 137
 138
 139
 140
 141
 142
 143
 144
 145
 146
 147
 148
 149
 150
 151
 152
 153
 154
 155
 156
 157
 158
 159
 160
 161
 162
 163
 164
 165
 166
 167
 168
 169
 170
 171
 172
 173
 174
 175
 176
 177
 178
 179
 180
 181
 182
 183
 184
 185
 186
 187
 188
 189
 190
 191
 192
 193
 194
 195
 196
 197
 198
 199
 200
 201
 202
 203
 204
 205
 206
 207
 208
 209
 210
 211
 212
Information
This is MCQs of Computer Science Subject.
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Results
0 of 212 questions answered correctly
Your time:
Time has elapsed
You have reached 0 of 0 points, (0)
Categories
 Not categorized 0%
 1
 2
 3
 4
 5
 6
 7
 8
 9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
 100
 101
 102
 103
 104
 105
 106
 107
 108
 109
 110
 111
 112
 113
 114
 115
 116
 117
 118
 119
 120
 121
 122
 123
 124
 125
 126
 127
 128
 129
 130
 131
 132
 133
 134
 135
 136
 137
 138
 139
 140
 141
 142
 143
 144
 145
 146
 147
 148
 149
 150
 151
 152
 153
 154
 155
 156
 157
 158
 159
 160
 161
 162
 163
 164
 165
 166
 167
 168
 169
 170
 171
 172
 173
 174
 175
 176
 177
 178
 179
 180
 181
 182
 183
 184
 185
 186
 187
 188
 189
 190
 191
 192
 193
 194
 195
 196
 197
 198
 199
 200
 201
 202
 203
 204
 205
 206
 207
 208
 209
 210
 211
 212
 Answered
 Review

Question 1 of 212
1. Question
A class of 30 students occupy a classroom containing 5 rows of seats, with 8 seats in each row. IF the students seat themselves at random, the probability that the sixth seat in the fifth row will be empty is
Correct
Incorrect

Question 2 of 212
2. Question
The probability that a number selected at random between 100 and 999 (both inclusive) will not contain the digit 7 is
Correct
Incorrect

Question 3 of 212
3. Question
0.152525252….. us sane as
Correct
Incorrect

Question 4 of 212
4. Question
A class is composed of 2 brothers and 6 other boys. In how many ways can all the boys be seated at a round table so that the two brothers are not seated together?
Correct
Incorrect

Question 5 of 212
5. Question
The
n^{th}
order difference of a polynomial of degree n is
Correct
Incorrect

Question 6 of 212
6. Question
Each coefficient in the equation
ax^{2}
+ bx + c = 0 is determined by throwing an ordinary die.
The probability that the equation will have real roots isCorrect
Incorrect

Question 7 of 212
7. Question
The sum of all numbers greater than 10,000 formed by using the digits 0, 2, 4, 6, 8, no digit being repeated in any number is
Correct
Incorrect

Question 8 of 212
8. Question
For a game in which 2 partners oppose 2 other partners, six men are available. If every possible pair must play against every other pair, the number of games to be played is
Correct
Incorrect

Question 9 of 212
9. Question
Let the elements g, h belong to a group G. If O(h) is 2, then O
(ghg1^{1})
is
Correct
Incorrect

Question 10 of 212
10. Question
At any time, the total number of persons on earth who have shaken hands an odd number of times has to be
Correct
Incorrect

Question 11 of 212
11. Question
Which of the following are irrational number?
Correct
Incorrect

Question 12 of 212
12. Question
The function f(x) = 1 x/(x+1) 
Correct
Incorrect

Question 13 of 212
13. Question
The domain of the function log (log sin (x)) is
Correct
Incorrect

Question 14 of 212
14. Question
The system of equation
x + 2y + 3z = 4
x + λy + 2z = 3
x + 4y + µz = 3
has infinite number of solutions if
Correct
Incorrect

Question 15 of 212
15. Question
Let R be a symmetric and transitive relation on a set A. Then
Correct
Incorrect

Question 16 of 212
16. Question
The number of elements in the power set of the set
{{{}}, 1, {2, {2,3}} isCorrect
Incorrect

Question 17 of 212
17. Question
If 4(log_{9}3) + (9(log_{2}4) = 10(log_{x}81), then x is
Correct
Incorrect

Question 18 of 212
18. Question
The length of the longest pole that can be made inside a hall of length 18m, breadth 6m, and height 4.5m is
Correct
Incorrect

Question 19 of 212
19. Question
Six x’s have to be placed in the squares in the adjacent figure, such that each row contains at least one x. This can be done in
Correct
Incorrect

Question 20 of 212
20. Question
Out of 100 students, 10 students used to drink milk(M), coffee(C) and tea(T): 20 M and C: 30 C and T:25 M and T: 12 M only: 5 C only and 8 T only. The number of students who did not drink any of these is
Correct
Incorrect

Question 21 of 212
21. Question
Given the relation R = {(1,2). (2.3)}. The minimum number of ordered pairs that must be added to this set so that the enlarged relation is reflexive, symmetric and transitive is
Correct
Incorrect

Question 22 of 212
22. Question
A box contains 2 black, 4 white and 3 red balls. One ball is drawn at random from the box and kept aside. From the remaining balls in the box, another ball is drawn at random and kept beside the first. This process is repeated till all the balls are drawn from the box. The probability that the balls drawn are in the sequence 2 black, 4 white, and 3 red is
Correct
Incorrect

Question 23 of 212
23. Question
The range of the function f(X) =
x^{2}
/ (1+
x^{2}
) is
Correct
Incorrect

Question 24 of 212
24. Question
In calculating the mean and variance of 10 readings, a student wrongly used 52 instead of the correct figure 25. If the mean be obtained was 45, then the correct mean is
Correct
Incorrect

Question 25 of 212
25. Question
Refer Qn. 24. If the variance he obtained was 16, then the correct variance is
Correct
Incorrect

Question 26 of 212
26. Question
If ^{n}C_{r1} = 36: ^{n}C_{r }= 84 and ^{n}C_{r + 1 }=126, then the value of ‘r’ is
Correct
Incorrect

Question 27 of 212
27. Question
In the interval [0,∏], the equation x=cos(x) has
Correct
Incorrect

Question 28 of 212
28. Question
Ten different letters are given.Five letter words are formed from these given letters. The number of words having at least repeated is
Correct
Incorrect

Question 29 of 212
29. Question
The value of the expression
^{47}C_{4} + ^{5}∑_{j=1 }^{(52j)}C_{3 }is equal to
Correct
Incorrect

Question 30 of 212
30. Question
The rank of the following (n+1)x(n+1) matrix, where a is a real number is
[1 a a^{2 }. . . . a^{n]}
[1 a a^{2 }. . . . a^{n]}
[. . .]
[. . .]
[1 a a^{2} . . . . a^{n]}
Correct
Incorrect

Question 31 of 212
31. Question
Let ‘S’ be the standard deviation of ‘n’ numbers. If each of the ‘n’ numbers is multiplied by a constant C, then the new standard deviation will be
Correct
Incorrect

Question 32 of 212
32. Question
Let A be a finite set of Size ‘n’. The number of elements in the power set of A x A is
Correct
Incorrect

Question 33 of 212
33. Question
Probability of an event A happening is 0.4. Probability that in 3 independent trials. event A happens at least once is
Correct
Incorrect

Question 34 of 212
34. Question
If x, y are two real numbers such that x > 0 and xy = 1, then x + y can’t be less than
Correct
Incorrect

Question 35 of 212
35. Question
Let f(x+y) = f(x) + f(y), for all x,y. If f(x) is continuous at x = 0, then
Correct
Incorrect

Question 36 of 212
36. Question
Let f(x+y)=f(x) + f(y), for all x, y. If f(5) = 2 and f'(0) =3, then f'(5) is equal to
Correct
Incorrect

Question 37 of 212
37. Question
In numerical methods, accuracy refers to the
Correct
Incorrect

Question 38 of 212
38. Question
Suppose A_{1 }A_{2}, . . . A_{30} are 30 sets, each with 5 elements, and B_{1 ,}B_{2 }. . . B_{n }are ‘n’ sets. each with 3 elements.
Let ^{30}U_{i=2} A_{i }= ^{n}U_{j=1} B_{j} = S.
Each element of S, belongs to exactly 10 of the A_{i }‘s and to exactly 9 of the B’S. then ‘n’ is
Correct
Incorrect

Question 39 of 212
39. Question
Which of the following remarks about an illconditioned system of equations are true?
Correct
Incorrect

Question 40 of 212
40. Question
If the cube roots of unity are 1, Co, Co^{2}, then the roots of the equation (x 1)^{3} + 8 = 0, are
Correct
Incorrect

Question 41 of 212
41. Question
f(x) and g(x) are two functions differentiable in [0,1] such that f(0) = 2; g (0) = 0;f(1) = 6; and g(1) = 2. Then there must exist a constant C in
Correct
Incorrect

Question 42 of 212
42. Question
Let f be a onetoone function with domain {x,y,z} and range {1, 2, 3}. It is given that exactly one of the following statements is true and the remaining 2 are false:
f(x) = 1
f(y) ‡ 1f(z) ‡ 2
Then f^{1} (1) equals
Correct
Incorrect

Question 43 of 212
43. Question
Let f be a twice differentiable function such that
f”(x) = f(x) and f'(x) = g(x). Let h(x) = (f(x))^{2} + (g(x))^{2}. If h(5) = 11, the h(10) is
Correct
Incorrect

Question 44 of 212
44. Question
i^{i}, where i is √1, is
Correct
Incorrect

Question 45 of 212
45. Question
If p, q, r are three real numbers, then
Correct
Incorrect

Question 46 of 212
46. Question
The number of 1’s in the binary representation of (3 x 4096 + 15 x 256 + 5 x 16 + 3) is
Correct
Incorrect

Question 47 of 212
47. Question
A determinant is chosen at random from the set of all determinants of order 2 with each element either 0 or 1 only. the probability that the value of the chosen determinant is positive is
Correct
Incorrect

Question 48 of 212
48. Question
The number of permutations of ‘n’ different things taken not more than ‘r’ at a time, with repetitions being allowed, is
Correct
Incorrect

Question 49 of 212
49. Question
A relation R is defined in N x N, such that (a,b) R (c,d)iff a + d = b + c. The relation R is
Correct
Incorrect

Question 50 of 212
50. Question
If log_{5} 10 = log_{7} x(log_{n}m), then the values of x, m, n are
Correct
Incorrect

Question 51 of 212
51. Question
If √5 + √7 + i, is one of the roots of the equation f(x) = 0 with national coefficients, then the degree of the given equation can’t be less than
Correct
Incorrect

Question 52 of 212
52. Question
Consider the equation x^{7 }2x^{5} + 7x^{4} + x^{3} – 9 = 0. The numbe of imaginary roots will be at least
Correct
Incorrect

Question 53 of 212
53. Question
If f(a) and f(b) are of the same sign, then the equation f(x) = 0
Correct
Incorrect

Question 54 of 212
54. Question
The equation x^{5 }+ x^{3} – 8x – 5 = 0 has
Correct
Incorrect

Question 55 of 212
55. Question
Any polynomial of even degree in which the last term is negative and the coefficient of the highest power is positive, has at least
Correct
Incorrect

Question 56 of 212
56. Question
When the polynomial f(x) is divided by (xa) (xβ), a≠β then the remainder is given by
Correct
Incorrect

Question 57 of 212
57. Question
Log 0 is
Correct
Incorrect

Question 58 of 212
58. Question
If a_{1}, . . . a_{n} are the roots of the equation x^{n} + nax – b = 0 then (a_{1} – a_{2})(a_{1} – a_{3}) . . . (a_{1} – a) equals
Correct
Incorrect

Question 59 of 212
59. Question
The set of all natural numbers is not closed with respect to
Correct
Incorrect

Question 60 of 212
60. Question
If a – b\ < n and \b  c < m, then a  c is
Correct
Incorrect

Question 61 of 212
61. Question
The domain of the function 1/ √(1x)(x2) is
Correct
Incorrect

Question 62 of 212
62. Question
A and B play a coin tossing game. They toss a coin alternately. The first one to get a head wins. If A starts, the probability of A winning is
Correct
Incorrect

Question 63 of 212
63. Question
The number of trailing zeroes in 200!(i.e., factorial of 200) is
Correct
Incorrect

Question 64 of 212
64. Question
The determinant of a matrix has 720 terms (in the unsimplified form), The order of the matrix is
Correct
Incorrect

Question 65 of 212
65. Question
The error in using Simpson’s rule is of the order
Correct
Incorrect

Question 66 of 212
66. Question
The domain of the function 1/√xx is
Correct
Incorrect

Question 67 of 212
67. Question
A bag contains 10 white balls and 15 black balls. Two balls are drawn in succession. The probability that one of them is black and the other white is
Correct
Incorrect

Question 68 of 212
68. Question
The iteration formula to find the square root of a positive real number b, using the Newton Rephson method is
Correct
Incorrect

Question 69 of 212
69. Question
If x – 1 + x – 2 + x – 3 ≥ 6, then
Correct
Incorrect

Question 70 of 212
70. Question
The number of real roots of the equation x^{2} – 3x + 2 = 0 is
Correct
Incorrect

Question 71 of 212
71. Question
20√√20√. . . equals
Correct
Incorrect

Question 72 of 212
72. Question
Two events A and B have probabilities 0.25 and 0.5 respectively. The probability that both A and B occur simultaneously is 0.14. Then the probability that neither A nor B occurs is
Correct
Incorrect

Question 73 of 212
73. Question
A function f(x) differentiable in the interval 0 ≤ x ≤ 5, is such that f(0) = 4 and f(5) = 1
If g(x) = f(x) / (x + 1), then there exists some constant C, 0 < C < 5 such that g'(C) equalsCorrect
Incorrect

Question 74 of 212
74. Question
Let A and B be sets with cardinalities ‘m’ and ‘n’ respectively. The number of possible one to one mappings (injections) from A to B, when m < n, is
Correct
Incorrect

Question 75 of 212
75. Question
Choose the correct option,
Let A = {1. 2, 3} is equal toCorrect
Incorrect

Question 76 of 212
76. Question
Let A = {1. {2}, 3}
Choose the correct option.Correct
Incorrect

Question 77 of 212
77. Question
In the set of integers, a relation R is defined as aRb, if and only if b = a. This realion is
Correct
Incorrect

Question 78 of 212
78. Question
Let S = {1, 2, 3, 4} A relation R defined in S as, R = {(1, 2), (4, 3), (2, 2), (2, 1), (3, 1)} is
Correct
Incorrect

Question 79 of 212
79. Question
Let A = {(1, 2, 3}. Which of the following relations are functions (mappings)?
Correct
Incorrect

Question 80 of 212
80. Question
Consider the mapping f:x → Y. f is a bijection if and only if
Correct
Incorrect

Question 81 of 212
81. Question
For a function to be invertible, it has to be
Correct
Incorrect

Question 82 of 212
82. Question
The advantages of partial pivoting in the solution of a system of equations are
Correct
Incorrect

Question 83 of 212
83. Question
Choose the correct statements.
Correct
Incorrect

Question 84 of 212
84. Question
Choose the correct statements.
Correct
Incorrect

Question 85 of 212
85. Question
In any undirected graph, the sum of degrees of all the nodes
Correct
Incorrect

Question 86 of 212
86. Question
(PVQ) Λ (P→R) Λ (Q→S) is equivalent to
Correct
Incorrect

Question 87 of 212
87. Question
Which of the following are tautologies?
Correct
Incorrect

Question 88 of 212
88. Question
Identify the valid conclusion from the premises P V Q, Q → R, P → M, ˜M
Correct
Incorrect

Question 89 of 212
89. Question
T is a graph with ‘n’ vertices. If T is connected and has exactly n1 edges, then
Correct
Incorrect

Question 90 of 212
90. Question
If one has to obtain the roots of x^{2} – 2x + log 2 = 0 to four decimal places, log 2 should be given to the accuracy of approximately
Correct
Incorrect

Question 91 of 212
91. Question
Choose the incorrect statement(s).
Correct
Incorrect

Question 92 of 212
92. Question
M is a square matrix of order ‘n’ and its determinant value is 5. If all the elements of M are multiplied by 2, its determinant value becomes 40. The value of ‘n’ is
Correct
Incorrect

Question 93 of 212
93. Question
in a computer an ndigit integer a_{n} a_{n} – 1 . . . a_{1} is represented as a_{n} a_{n} – 1 . . . a_{r + 1} 00 . . .0. The error e is
Correct
Incorrect

Question 94 of 212
94. Question
1 – x^{2}/2! + x^{4}/4! – . . . . + (1)^{n} x^{2n}/2n! + . . . is the expansion of
Correct
Incorrect

Question 95 of 212
95. Question
In the previous question, for 5digit accuracy, if x<∏/2, the number of terms in the series that should be considererd is
Correct
Incorrect

Question 96 of 212
96. Question
Which of the following methods gives the least error when e^{x} is integrated from 0 to 0.4?
Correct
Incorrect

Question 97 of 212
97. Question
Which of the following laws doesn’t hold good in finite precision floating point arithmetic?
Correct
Incorrect

Question 98 of 212
98. Question
Surplus variables are usually introduced in an LPP model
Correct
Incorrect

Question 99 of 212
99. Question
In an LPP model in its standard form, three of the constraints are
x_{1} + x_{2} ≤ 2
2x_{1} + 2x_{2} ≤ 3
3x_{1} + 3x_{2} ≤ 8
Removal of which of the constraints will not affect the optimality?
Correct
Incorrect

Question 100 of 212
100. Question
An LPP having 2 optimal solutions must have
Correct
Incorrect

Question 101 of 212
101. Question
The number of iterations taken by simplex method for solving an LPP in its standard form with ‘m’ equations and ‘n’ unknowns (m < n) can't exceed
Correct
Incorrect

Question 102 of 212
102. Question
In the solution of an LPP using simplex method, the curreat cost of the objective function must
Correct
Incorrect

Question 103 of 212
103. Question
If the cost of the objective function (of an LPP in its standard form) which corresponds to one of the corners of the convex region bound by the constraints, is greater than the cost corresponding to all its adjacent corners, then
Correct
Incorrect

Question 104 of 212
104. Question
Revised simplex method
Correct
Incorrect

Question 105 of 212
105. Question
The dual simplex method starts with a
Correct
Incorrect

Question 106 of 212
106. Question
Which of the following simplex based techniques are ideal for sensitivity analysis?
Correct
Incorrect

Question 107 of 212
107. Question
Choose the correct statements.
Correct
Incorrect

Question 108 of 212
108. Question
Choose the correct statement(s)
Correct
Incorrect

Question 109 of 212
109. Question
Changing the right hand side of the constraints and the coefficient of the cost function
Correct
Incorrect

Question 110 of 212
110. Question
Let A be the set of all non singular matrices over real numbers and let * be the matrix multiplication operator. then
Correct
Incorrect

Question 111 of 212
111. Question
NewtonRaphson method
Correct
Incorrect

Question 112 of 212
112. Question
In the bisection method for finding the roots of an equation, the approximate relative error is always
Correct
Incorrect

Question 113 of 212
113. Question
Trapezoidal rule gives the exact solution when the curve is
Correct
Incorrect

Question 114 of 212
114. Question
If a function y’ = f(x) has an inverse function, then f(x) can’t be
Correct
Incorrect

Question 115 of 212
115. Question
For what value of c, will the vector i + cj be orthogonal to 2i – j?
Correct
Incorrect

Question 116 of 212
116. Question
The solution of the differential equation y” + 3y’ + 2y = 0, is of the form
Correct
Incorrect

Question 117 of 212
117. Question
If the proposition P → Q is true, then the truth value of the proposition P V (P → Q), is
Correct
Incorrect

Question 118 of 212
118. Question
The number of the divisors of 600 (including 1 and 600) is
Correct
Incorrect

Question 119 of 212
119. Question
The determinant value of the matrix (1 2 3)
(4 5 6) is
(5 7 9)Correct
Incorrect

Question 120 of 212
120. Question
Which of the following elementary operations may affect the rank of a matrix?
Correct
Incorrect

Question 121 of 212
121. Question
Which of the following will not form an abelian group?
Correct
Incorrect

Question 122 of 212
122. Question
A group has 11 elements. The number of proper Subgroups it can have is
Correct
Incorrect

Question 123 of 212
123. Question
Let A and B be two n X n real symmetric matrices. Then
Correct
Incorrect

Question 124 of 212
124. Question
Backward Euler method for solving the differential equation dy/dx =f(x,y), is specified by
Correct
Incorrect

Question 125 of 212
125. Question
The rank of the matrix
[0 0 3]
[9 3 5] is
[3 1 1]Correct
Incorrect

Question 126 of 212
126. Question
(G, *) is an abelian group, Then
Correct
Incorrect

Question 127 of 212
127. Question
In a compact single dimensional array representation for lover triangular matrices (i.e. all the elements above the diagonal are zero). of size n X n, nonzero elements (i.e. elements of the lower triangle) of each row are stored one after the other, starting from the first row, The index of the (i,j)th element of the lower triangular matrix in this new representation is
Correct
Incorrect

Question 128 of 212
128. Question
The number of substrings (of all lengths) that can be formed from a character string of length n is
Correct
Incorrect

Question 129 of 212
129. Question
In the set of natural numbers, the binary operators that are not associative and not commutative are
Correct
Incorrect

Question 130 of 212
130. Question
A relation R is defined as xRy, if x ≠ y, This relation R is
Correct
Incorrect

Question 131 of 212
131. Question
The number of subsets of {1,2, . . .,n} of odd cardinality is
Correct
Incorrect

Question 132 of 212
132. Question
The probability of an event B occurring is P. The probability that events A and B occur together is Q. The probability that A occurs, without B occurring, is R.Then the probability of A occurring is
Correct
Incorrect

Question 133 of 212
133. Question
Let A, B, C be independent events with probabilities o.8, 0.5, 0.3. The probability of occurrence of at least one of these three is
Correct
Incorrect

Question 134 of 212
134. Question
The subset of a countable set
Correct
Incorrect

Question 135 of 212
135. Question
Every element of some ring (R, +,*) is such that a*a=a. This ring
Correct
Incorrect

Question 136 of 212
136. Question
For the M/G/1 queuing system, the arrival pattern and service time follows
Correct
Incorrect

Question 137 of 212
137. Question
Consider the set {1, 2, 3, 4, 6, 8, 12, 24}, together with the two binary operations LCM (Least Common Multiple) and GCD (Greatest Common Divisor).Which of the following does this algebraic structure represent?
Correct
Incorrect

Question 138 of 212
138. Question
The set {1, 2, 3, 4, 6, 8, 12, 24}, together with LCM as the binary operation is not a group because
Correct
Incorrect

Question 139 of 212
139. Question
The set {1, 2, 3, 4, 6, 8, 12, 24}, together with GCD as the binary operation is not a group because
Correct
Incorrect

Question 140 of 212
140. Question
The following set
(a) Q(x) → P(x) V˜R(a) (b) R(a) V˜Q(a)
(c) Q(a) (d) ˜P(y)
Where x and y are universally quantified variables, a is a constant and P, Q, R are monodic Predicates, isCorrect
Incorrect

Question 141 of 212
141. Question
Let x and y be sets with cardinalities m and n receptively. If the number of possible functions that can be defined with domain X and codomain Y is exactly 10, then
Correct
Incorrect

Question 142 of 212
142. Question
Let F: R^{2} → R^{2} be the mapping defined by F(x,y) = (x/3,y/4). What will be the image of X^{2}/9 + y^{2}/16 = 1 under F?
Correct
Incorrect

Question 143 of 212
143. Question
A function g is defined as g(x) = f(x)[f(x)+f(x)]. Which of the following remarks about the function g is right?
Correct
Incorrect

Question 144 of 212
144. Question
What is the total number of equivalent relations that can be defined on the set {1, 2, 3}?
Correct
Incorrect

Question 145 of 212
145. Question
Cube roots of unity form a cyclic group under multiplication. For this group,
Correct
Incorrect

Question 146 of 212
146. Question
The value of_{ }lim_{x→0 }x log x is
Correct
Incorrect

Question 147 of 212
147. Question
If x ε [0, 1], and f(x) and g(x) are defined as f(x) = sin (cos(x∏/4)) and g(x) =cos (sin (x∏/4)), then
Correct
Incorrect

Question 148 of 212
148. Question
The function f(x) is continuous in [0, 1] such that f(0) = 1, f(1/2) = 1 and f(1) = 1, We can conclude that
Correct
Incorrect

Question 149 of 212
149. Question
The sum of the infinite series ∑kx^{k}, Where 1 < x < 1, is
Correct
Incorrect

Question 150 of 212
150. Question
Which of the following is not a linear transformation?
Correct
Incorrect

Question 151 of 212
151. Question
If the determinant of an n X n matrix A is zero, then
Correct
Incorrect

Question 152 of 212
152. Question
A is 2 X 2 matrix with eigen values 2 and 3. The eigen values of the matrix A^{2}
Correct
Incorrect

Question 153 of 212
153. Question
Among any n + 1 distinct positive integers less than or equal to 2n, we can always find
Correct
Incorrect

Question 154 of 212
154. Question
Let X_{1} and X_{2} be any two unit vectors in R^{3} The angle between the two planes X_{1} . X = c and X_{2} . X = 2c, where c is a constant is given by
Correct
Incorrect

Question 155 of 212
155. Question
If (x_{1}, x_{2}, x_{3}) x (1, 3, 1) = (2, 1, 6), where x denotes the vector product, then (x_{1}, x_{2}, x_{3}) is given by
Correct
Incorrect

Question 156 of 212
156. Question
Which of the following is a cube root of the complex number 27i?
Correct
Incorrect

Question 157 of 212
157. Question
Suppose a system has been evolved by extraterrestrial creatures having only 3 fingers. They use the figures 0, 1, 2 with 2 > 1 > 0. What will be the binary equivalent of 222 in this system?
Correct
Incorrect

Question 158 of 212
158. Question
If you want to retain the first 4 bits of given string of 8 bits and complement the last 4 bits then the correct mask and the operation should be
Correct
Incorrect

Question 159 of 212
159. Question
Which of the following logical operation almost resembles an arithmetic multiplication operation?
Correct
Incorrect

Question 160 of 212
160. Question
To change lower case to upper case letters in ASCII. the correct mask and operation should be (ASCII value of character A is 65 and character a is 97)
</