2. Who is regarded as the founder of theory of sets?
Correct : C. george cantor
3. A collection of well-defined distinct objects thought of as a whole is called
Correct : C. set
4. “No two elements of a set are identical”. This statement is
Correct : A. always true
5. A set containing no element is called
Correct : D. all the above
6. A set containing only one element is termed as
Correct : C. both (a) and (b)
7. A set of totality of elements from all possible sets is called
Correct : C. universal set
8. If two sets contain the same distinct elements, then they are called
Correct : A. equal sets
9. If two sets contain same number of distinct elements but not the same elements
are called
Correct : C. equivalent sets
10. Sets and set operations can be represented by drawing diagrams termed as
Correct : B. venn diagrams
11. If every element of a set B is also an element of A, then
Correct : B. b is a subset of a
12. In Venn diagram, the universal set is represented by
Correct : A. points within a rectangle
13. “Null set is a proper subset of all the non-null sets”. This statement is
Correct : A. always true
14. Union of A with A, that is, A U A =
Correct : B. a itself
15. Union of A and the universal set is
Correct : C. universal set
16. Union of A and a null set is equal to
Correct : D. a
17. Union of A with B is same as union of B with A, that is, A U B = B U A is
termed as
Correct : B. cumulative law of union
18. The associative law of union is
Correct : A. a u (b u c) = (a u b) u c = a u b u c
19. If B is a subset of A, then A U B =
Correct : B. a
20. If a set C contain all the elements which are present in both the sets A and B,
then set C is called
Correct : B. intersection of a and b
21. If two sets do not have any common element, then they are called
Correct : C. disjoint sets
22. A set containing all the elements of the universal set except those of set A is
called
Correct : A. complement of set a
23. The set of all elements belonging to A but not to B is
Correct : B. a – b
24. The set of all subsets of a set A is called
Correct : A. power set of a
25. Any number raise to the power zero is always equal to
Correct : B. one
26. The value of is
Correct : B. 32 x 7
27. A variable which is free to take any value we choose to assign to it is called
Correct : B. independent variable
28. The variable that stands alone on the left-hand side of the equation such as y =
2x + 1 is known as
Correct : A. dependent variable
29. The functions y = 2x + 1 and x = ½ y – ½ are said to be
Correct : B. inverse functions
30. A function where a variable x can only vary in jumps, is often called
Correct : C. step functions
31. The value of the dependent variable where the graph cuts the y-axis is called
Correct : B. y-intercept
32. The point at which the graph cuts the x-axis is called
Correct : A. x-intercept
33. A linear function of the form 6x – 2y + 8= 0 is known as
Correct : B. implicit function
34. If we are told that the two statements ‘y = 3x’ and ‘y = x + 10’ are both true at the same time, they
are called
Correct : C. simultaneous equations
35. Solving the simultaneous equations 8x + 4y = 12 and -2x + y = 9 gives
Correct : A. x = -3/2 and y = 6
36. Given the supply function qS = 12p – 200 and its inverse function p = 1/12 qS + 50/3, p in the inverse function which is interpreted as the minimum price that sellers are willing to accept for
the quantity qS is called
Correct : A. supply price
37. The equilibrium price and quantity, given the inverse demand and supply functions
pD =-3q + 30 and pS = 2q – 5
Correct : A. p = 9 and q = 7
38. Given any quadratic equation a x2 + b x + c = 0, where a, b, and c are given constants, the solutions
(roots) are given by the formula
Correct : A. x =
39. The simplest case of a quadratic function is
Correct : A. y = x2
40. The simplest form of rectangular hyperbola is
Correct : A. y = 1/x
41. A possible use in economics for the circle or the ellipse is to model
Correct : A. production possibility curve
42. A consumer’s income or budget is 120. She buys two goods, x and y, with
prices 3 and 4 respectively. Then the budget constraint can be expressed as
Correct : B. 3x + 4y = 120
43. A determinant composed of all the first-order partial derivatives of a system of equations,
arranged in ordered sequence is called
Correct : B. jacobian determinant
44. If the value of the Jacobian determinant = 0, the equations are
Correct : A. functionally dependent
45. If the value of the Jacobian determinant , the equations are
Correct : B. functionally independent
46. A Jacobian determinant is used to test
Correct : C. both linear and non-linear functional dependence between equations
47. A determinant composed of all the second-order partial derivatives, with the second-order direct partials on the principal diagonal and the second-order cross partials off the
principal diagonal, and which is used to second order condition of optimization is called
Correct : B. hessian determinant
48. A positive definite Hessian fulfills the second-order conditions for
Correct : B. minimum
49. A negative definite Hessian fulfills the second order conditions for
Correct : A. maximum
50. The determinant of a quadratic form is called
Correct : C. discriminant
51. A mathematical statement setting two algebraic expressions equal to each other
is called
Correct : A. equation
52. An equation in which all variables are raised to the first power is known as
Correct : A. linear equation
53. The slope of a horizontal line is
Correct : B. zero
54. The slope of a vertical line is
Correct : D. undefined
55. An iso-cost line represents
Correct : A. different combinations of two inputs that can be purchased with a given sum of money
56. (A+B)+C = A+(B+C). This law of matrices is known as
Correct : B. associative law
57. (A+B) = (B+A). this law of matrices is known as
Correct : A. cumulative law
58. k (A+B) = kA + kB. This law of matrices is known as
Correct : C. distributive law
59. If in a matrix, the number if rows is the same as the number of columns, it is
called
Correct : C. square matrix
60. In a matrix, if there is only one row but any number of columns, it is called
Correct : D. both a & c
61. If all the elements of a matrix of any order are zero, it is called
Correct : D. both b & c
62. A square matrix with 1’s in its principal diagonal and zeros everywhere else is
Correct : B. identity matrix
63. A square matrix A, such that A = A’, is called a
Correct : A. symmetric matrix
64. If the determinant formed by the elements of the matrix A is equal to zero, then
the matrix is
Correct : C. singular
65. The matrix A multiplied by its inverse will be a
Correct : A. identity matrix
66. A inverse is defined only if A is a
Correct : A. square matrix
67. the sufficient condition required for the matrix to possess inverse is that the
matrix should be
Correct : C. non-singular matrix
68. which method is used for finding inverse of a matrix
Correct : D. both a & c
69. A matrix with all elements zero other than all the diagonals is called
Correct : A. diagonal matrix
70. Find the co-factor A23 of the matrix A =
Correct : D. -7
71. A diagonal matrix whose diagonal elements are equal is called
Correct : C. scalar matrix
72. A square matrix A of order mxn is called an upper triangular matrix if aij = o
for all
Correct : A. i > j
73. If A & B are symmetric matrices, then A + B is
Correct : A. symmetric
74. For any square matrix A of order ‘n’, A +AT is
Correct : C. symmetric
75. For any square matrix A of order ‘n’, A - AT is
Correct : A. skew symmetric
76. If matrix A is comfortable for multiplication the (AB)T is equal to
Correct : B. btat
77. If A is a square matrix of order ‘n’ and I is the unit matrix of the same order,
then AI is equal to
Correct : D. both (a) & (b)
78. The signed minor of the matrix A is called
Correct : B. co-factor
79. The determinant of a matrix and that of its transpose are
Correct : A. equal
80. If two rows or columns of a determinant A are identical, then the value of the determinant is ...
Correct : B. zero
81. If every element of a raw or column of a square matrix A is zero, then the value of the determinant is
Correct : C. zero
82. If each element of a raw or column is a sum of two elements, the determinant can be expressed as the
Correct : A. sum of two determinants
83. A square matrix A such that A2 = A is called
Correct : C. idempotent matrix
84. If A& B are symmetric matrix, then AB – BA is
Correct : B. skew symmetric matrix
85. The transpose of the cofactor matrix is called
Correct : A. adjoint of the matrix
86. For any square matrix A of order ‘n’, A(Adj A) is equal to
Correct : D. both a & b
87. If AΠ B = Ø , then A and B are called
Correct : A. disjoint set
88. Matrix multiplication does not satisfy --------- law
Correct : C. commutative
89. Y= a0+a1X is a function
Correct : D. linear
90. Relation between two numbers or variables are called
Correct : B. binary relation
91. If B is a subset of A , then A is a -------- of B
Correct : A. super set
92. the elements in the horizontal line in a matrix is called
Correct : B. rows
93. If matrix A is of mxn dimension, then At will be --------- dimension
Correct : A. nxm
94. If A=At , then A is
Correct : A. symmetric matrix
95. Given S1={a,b,c}S2={a,1,2}, then (S1-S2) Π (S2-S1) is
Correct : D. null set
96. The set of “stars in the sky” is an example of
Correct : B. infinite set
97. Ordered pairs of two sets are called
Correct : A. elements
98. AB=BA=I, then B is said to be -------- matrix of A
Correct : B. inverse
99. Determinant of triangular matrix is the product of
Correct : A. diagonal elements
100. If IAI=24. then the determinant of its transpose is