McqMate
1. |
The objects constituting a set are called |
A. | estimates |
B. | elements |
C. | set objects |
D. | none of these |
Answer» A. estimates |
2. |
Who is regarded as the founder of theory of sets? |
A. | adam smith |
B. | karl frederich gauss |
C. | george cantor |
D. | euller |
Answer» D. euller |
3. |
A collection of well-defined distinct objects thought of as a whole is called |
A. | union |
B. | derivative |
C. | set |
D. | integral |
Answer» C. set |
4. |
“No two elements of a set are identical”. This statement is |
A. | always true |
B. | sometimes true |
C. | not true |
D. | all of the above is possible |
Answer» B. sometimes true |
5. |
A set containing no element is called |
A. | null set |
B. | empty set |
C. | void set |
D. | all the above |
Answer» D. all the above |
6. |
A set containing only one element is termed as |
A. | unit set |
B. | singleton set |
C. | both (a) and (b) |
D. | none of these |
Answer» C. both (a) and (b) |
7. |
A set of totality of elements from all possible sets is called |
A. | union set |
B. | intersection set |
C. | universal set |
D. | unit set |
Answer» C. universal set |
8. |
If two sets contain the same distinct elements, then they are called |
A. | equal sets |
B. | unequal sets |
C. | equivalent sets |
D. | all the above |
Answer» A. equal sets |
9. |
If two sets contain same number of distinct elements but not the same elements are called |
A. | equal sets |
B. | unequal sets |
C. | equivalent sets |
D. | all the above |
Answer» B. unequal sets |
10. |
Sets and set operations can be represented by drawing diagrams termed as |
A. | pie diagrams |
B. | venn diagrams |
C. | histogram |
D. | ogives |
Answer» B. venn diagrams |
11. |
If every element of a set B is also an element of A, then |
A. | a is a subset of b |
B. | b is a subset of a |
C. | a is not a subset of b |
D. | b is not a subset of a |
Answer» B. b is a subset of a |
12. |
In Venn diagram, the universal set is represented by |
A. | points within a rectangle |
B. | points within a circle |
C. | both (a) and (b) |
D. | none of these |
Answer» A. points within a rectangle |
13. |
“Null set is a proper subset of all the non-null sets”. This statement is |
A. | always true |
B. | sometimes true |
C. | never true |
D. | true subject to some conditions |
Answer» A. always true |
14. |
The set which contains all the elements of the two given sets A and B, avoiding duplication, is called |
A. | intersection of a and b |
B. | union of a and b |
C. | set of a and b |
D. | none of these |
Answer» B. union of a and b |
15. |
Union of A with A, that is, A U A = |
A. | complement of a |
B. | a itself |
C. | cannot be determined |
D. | none of these |
Answer» B. a itself |
16. |
Union of A and the universal set is |
A. | a |
B. | a’ |
C. | universal set |
D. | none of these |
Answer» C. universal set |
17. |
Union of A and a null set is equal to |
A. | intersection of a and null set |
B. | null set |
C. | both (a) and (b) |
D. | a |
Answer» D. a |
18. |
Union of A with B is same as union of B with A, that is, A U B = B U A is termed as |
A. | associative law of union |
B. | cumulative law of union |
C. | reflective law |
D. | all the above |
Answer» B. cumulative law of union |
19. |
The associative law of union is |
A. | a u (b u c) = (a u |
B. | u c = a u b u c (b) a u b = b u a |
C. | a u b = a u c |
D. | b u c = b u a |
Answer» A. a u (b u c) = (a u |
20. |
If B is a subset of A, then A U B = |
A. | b |
B. | a |
C. | intersection of a and b |
D. | none of these |
Answer» A. b |
21. |
If a set C contain all the elements which are present in both the sets A and B, then set C is called |
A. | union of a and b |
B. | intersection of a and b |
C. | complement of a |
D. | complement of b |
Answer» B. intersection of a and b |
22. |
If two sets do not have any common element, then they are called |
A. | complement sets |
B. | joint sets |
C. | disjoint sets |
D. | none of these |
Answer» C. disjoint sets |
23. |
A set containing all the elements of the universal set except those of set A is called |
A. | complement of set a |
B. | complement of universal set |
C. | union of a and universal set |
D. | universal set itself |
Answer» A. complement of set a |
24. |
The set of all elements belonging to A but not to B is |
A. | b – a |
B. | a – b |
C. | a’ |
D. | b’ |
Answer» B. a – b |
25. |
The set of all subsets of a set A is called |
A. | power set of a |
B. | complement of a |
C. | both (a) and (b) |
D. | none of these |
Answer» A. power set of a |
26. |
Any number raise to the power zero is always equal to |
A. | zero |
B. | one |
C. | two |
D. | that number itself |
Answer» B. one |
27. |
The value of is |
A. | 32 x |
B. | 32 x 7 |
C. | 2 x |
D. | none of these |
Answer» B. 32 x 7 |
28. |
In any equation (or function) involving two variables, such as y = 2x + 1, the variable that appears on the right-hand side of the equation is by convention called |
A. | dependent variable |
B. | independent variable |
C. | endogenous variable |
D. | explained variable |
Answer» B. independent variable |
29. |
A variable which is free to take any value we choose to assign to it is called |
A. | dependent variable |
B. | independent variable |
C. | endogenous variable |
D. | explained variable |
Answer» B. independent variable |
30. |
The variable that stands alone on the left-hand side of the equation such as y = 2x + 1 is known as |
A. | dependent variable |
B. | independent variable |
C. | endogenous variable |
D. | explained variable |
Answer» A. dependent variable |
31. |
The functions y = 2x + 1 and x = ½ y – ½ are said to be |
A. | non-linear functions |
B. | inverse functions |
C. | step functions |
D. | all the above |
Answer» B. inverse functions |
32. |
A function where a variable x can only vary in jumps, is often called |
A. | non-linear functions |
B. | inverse functions |
C. | step functions |
D. | all the above |
Answer» C. step functions |
33. |
The increase in dependent variable that results when the independent variable increases by one unit in a simple linear function is called |
A. | y-intercept of the curve |
B. | slope of the curve |
C. | x-intercept of the curve |
D. | marginal value |
Answer» B. slope of the curve |
34. |
The value of the dependent variable where the graph cuts the y-axis is called |
A. | x-intercept |
B. | y-intercept |
C. | slope |
D. | none of these |
Answer» B. y-intercept |
35. |
The point at which the graph cuts the x-axis is called |
A. | x-intercept |
B. | y-intercept |
C. | slope |
D. | none of these |
Answer» A. x-intercept |
36. |
A linear function of the form 6x – 2y + 8= 0 is known as |
A. | explicit function |
B. | implicit function |
C. | quadratic function |
D. | all the above |
Answer» B. implicit function |
37. |
If we are told that the two statements ‘y = 3x’ and ‘y = x + 10’ are both true at the same time, they are called |
A. | implicit functions |
B. | explicit functions |
C. | simultaneous equations |
D. | quadratic equations |
Answer» C. simultaneous equations |
38. |
Solving the simultaneous equations 8x + 4y = 12 and -2x + y = 9 gives |
A. | x = -3/2 and y = 6 |
B. | x = 4 and y = 2 |
C. | x = ½ and y = ½ |
D. | none of these |
Answer» A. x = -3/2 and y = 6 |
39. |
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 |
A. | supply price |
B. | demand price |
C. | equilibrium price |
D. | reserved price |
Answer» A. supply price |
40. |
The equilibrium price and quantity, given the inverse demand and supply functionsbp D =-3q + 30 and pS = 2q – 5 |
A. | p = 9 and q = 7 |
B. | p = 10 and q = 7 |
C. | p = 9 and q = 8 |
D. | p = 7 and q = 9 |
Answer» A. p = 9 and q = 7 |
41. |
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 |
A. | x = |
B. | x = |
C. | x = |
D. | none of these |
Answer» A. x = |
42. |
The simplest case of a quadratic function is |
A. | y = x2 |
B. | y = x3 |
C. | y = x2 + b |
D. | y = x2 + bx+ c |
Answer» A. y = x2 |
43. |
The simplest form of rectangular hyperbola is |
A. | y = 1/x |
B. | y = x2 |
C. | y = x-2 |
D. | y = x3 |
Answer» A. y = 1/x |
44. |
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 |
A. | 4x + 3y = 120 |
B. | 3x + 4y = 120 |
C. | 12x + 12y = 120 |
D. | cannot be determined |
Answer» B. 3x + 4y = 120 |
45. |
If the value of the Jacobian determinant = 0, the equations are |
A. | functionally dependent |
B. | functionally independent |
C. | linearly independent |
D. | none of these |
Answer» A. functionally dependent |
46. |
If the value of the Jacobian determinant , the equations are |
A. | functionally dependent |
B. | functionally independent |
C. | linearly dependent |
D. | none of these |
Answer» B. functionally independent |
47. |
A Jacobian determinant is used to test |
A. | linear functional dependence between equations |
B. | non-linear functional dependence between equations |
C. | both linear and non-linear functional dependence between equations |
D. | none of these |
Answer» C. both linear and non-linear functional dependence between equations |
48. |
A positive definite Hessian fulfills the second-order conditions for |
A. | maximum |
B. | minimum |
C. | both maximum and minimum |
D. | minimax |
Answer» B. minimum |
49. |
A negative definite Hessian fulfills the second order conditions for |
A. | maximum |
B. | minimum |
C. | both maximum and minimum |
D. | minimax |
Answer» A. maximum |
50. |
The determinant of a quadratic form is called |
A. | jacobian determinant |
B. | hessian determinant |
C. | discriminant |
D. | none of these |
Answer» C. discriminant |
51. |
A mathematical statement setting two algebraic expressions equal to each other is called |
A. | equation |
B. | hypothesis |
C. | inequality |
D. | all the above |
Answer» A. equation |
52. |
An equation in which all variables are raised to the first power is known as |
A. | linear equation |
B. | non-linear equation |
C. | quadratic equation |
D. | polynomial of degree two |
Answer» A. linear equation |
53. |
The slope of a horizontal line is |
A. | one |
B. | zero |
C. | two |
D. | three |
Answer» B. zero |
54. |
The slope of a vertical line is |
A. | one |
B. | zero |
C. | two |
D. | undefined |
Answer» D. undefined |
55. |
An iso-cost line represents |
A. | different combinations of two inputs that can be purchased with a given sum of money |
B. | different combinations of two goods that can be purchased with a given income |
C. | both (a) and (b) |
D. | none of these |
Answer» 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 |
A. | cumulative law |
B. | associative law |
C. | distributive law |
D. | identity law |
Answer» B. associative law |
57. |
(A+B) = (B+A). this law of matrices is known as |
A. | cumulative law |
B. | associative law |
C. | distributive law |
D. | identity law |
Answer» A. cumulative law |
58. |
k (A+B) = kA + kB. This law of matrices is known as |
A. | cumulative law |
B. | associative law |
C. | distributive law |
D. | identity law |
Answer» C. distributive law |
59. |
If in a matrix, the number if rows is the same as the number of columns, it is called |
A. | singular matrix |
B. | non-singular matrix |
C. | square matrix |
D. | column vector |
Answer» C. square matrix |
60. |
In a matrix, if there is only one row but any number of columns, it is called |
A. | row matrix |
B. | column matrix |
C. | row vector |
D. | both a & c |
Answer» D. both a & c |
61. |
If all the elements of a matrix of any order are zero, it is called |
A. | identity matrix |
B. | null matrix |
C. | zero matrix |
D. | both b & c |
Answer» D. both b & c |
62. |
A square matrix with 1’s in its principal diagonal and zeros everywhere else is |
A. | diagonal matrix |
B. | identity matrix |
C. | leading diagonal |
D. | scalar matrix |
Answer» B. identity matrix |
63. |
If the columns of a given matrix A and B are changed into rows and vice-versa, the matrix thus obtained is called the |
A. | symmetric matrix |
B. | transpose of a matrix |
C. | singular matrix |
D. | rank of a matrix |
Answer» B. transpose of a matrix |
64. |
A square matrix A, such that A = A’, is called a |
A. | symmetric matrix |
B. | skew-symmetric matrix |
C. | singular matrix |
D. | rank of a matrix |
Answer» A. symmetric matrix |
65. |
If the determinant formed by the elements of the matrix A is equal to zero, then the matrix is |
A. | skew symmetric |
B. | symmetric |
C. | singular |
D. | non-singular |
Answer» C. singular |
66. |
If the determinant formed by the elements of the matrix is not equal to zero, then the matrix is called |
A. | skew symmetric |
B. | symmetric |
C. | singular |
D. | non-singular |
Answer» D. non-singular |
67. |
The matrix A multiplied by its inverse will be a |
A. | identity matrix |
B. | skew-symmetric matrix |
C. | idempotent matrix |
D. | adjoint of a matrix |
Answer» A. identity matrix |
68. |
A inverse is defined only if A is a |
A. | square matrix |
B. | column vector |
C. | orthogonal matrix |
D. | skew-symmetric matrix |
Answer» A. square matrix |
69. |
the sufficient condition required for the matrix to possess inverse is that the matrix should be |
A. | square matrix |
B. | singular matrix |
C. | non-singular matrix |
D. | orthogonal matrix |
Answer» C. non-singular matrix |
70. |
which method is used for finding inverse of a matrix |
A. | gauss elimination method |
B. | henrich standard method |
C. | co-factor method |
D. | both a & c |
Answer» D. both a & c |
71. |
A matrix with all elements zero other than all the diagonals is called |
A. | diagonal matrix |
B. | orthogonal matrix |
C. | unit matrix |
D. | column vector |
Answer» A. diagonal matrix |
72. |
Find the co-factor A23 of the matrix A = |
A. | 23 |
B. | 7 |
C. | -23 |
D. | -7 |
Answer» D. -7 |
73. |
A diagonal matrix whose diagonal elements are equal is called |
A. | unit matrix |
B. | singular matrix |
C. | scalar matrix |
D. | non-singular matrix |
Answer» C. scalar matrix |
74. |
A square matrix A of order mxn is called an upper triangular matrix if aij = o for all |
A. | i > j |
B. | i < j |
C. | i = j |
D. | all of the above |
Answer» A. i > j |
75. |
If A & B are symmetric matrices, then A + B is |
A. | symmetric |
B. | non-symmetric |
C. | skew symmetric |
D. | non-skew symmetric |
Answer» A. symmetric |
76. |
For any square matrix A of order ‘n’, A +AT is |
A. | skew symmetric |
B. | non-skew symmetric |
C. | symmetric |
D. | non-symmetric |
Answer» C. symmetric |
77. |
If matrix A is a matrix of order nxm and B is another matrix of order mxn, then BA will be the matrix of order |
A. | nxm |
B. | mxn |
C. | nxn |
D. | mxm |
Answer» D. mxm |
78. |
If A is a square matrix of order ‘n’ and I is the unit matrix of the same order, then AI is equal to |
A. | a |
B. | ia |
C. | i |
D. | both (a) & (b) |
Answer» D. both (a) & (b) |
79. |
If the ith raw and jth column of a square matrix of order ‘n’ are deleted, the determinant of the resulting square sub-matrix is called |
A. | adjoint |
B. | co-factor |
C. | minor |
D. | rank |
Answer» C. minor |
80. |
The signed minor of the matrix A is called |
A. | adjoint |
B. | co-factor |
C. | minor |
D. | rank |
Answer» B. co-factor |
81. |
The determinant of a matrix and that of its transpose are |
A. | equal |
B. | zero |
C. | one |
D. | negatively related |
Answer» A. equal |
82. |
If every element of a raw or column of a square matrix A is zero, then the value of the determinant is |
A. | equal |
B. | one |
C. | zero |
D. | not equal |
Answer» C. zero |
83. |
If each element of a raw or column is a sum of two elements, the determinant can be expressed as the |
A. | sum of two determinants |
B. | difference of two determinants |
C. | multiplication of two determinants |
D. | division of two determinants |
Answer» A. sum of two determinants |
84. |
A square matrix A such that A2 = A is called |
A. | orthogonal matrix |
B. | skew symmetric matrix |
C. | idempotent matrix |
D. | singular matrix |
Answer» C. idempotent matrix |
85. |
If A& B are symmetric matrix, then AB – BA is |
A. | symmetric |
B. | skew symmetric matrix |
C. | idempotent matrix |
D. | orthogonal matrix |
Answer» B. skew symmetric matrix |
86. |
The transpose of the cofactor matrix is called |
A. | adjoint of the matrix |
B. | power of a matrix |
C. | minor of the matrix |
D. | rank of a matrix |
Answer» A. adjoint of the matrix |
87. |
For any square matrix A of order ‘n’, A(Adj A) is equal to |
A. | (adj a)a |
B. | determinant a |
C. | rank of a |
D. | both a & b |
Answer» D. both a & b |
88. |
If AΠ B =Ø , then A and B are called |
A. | disjoint set |
B. | complement set |
C. | unit set |
D. | empty et |
Answer» A. disjoint set |
89. |
Y= a0+a1X is a function |
A. | nonlinear |
B. | proportional |
C. | polynomial |
D. | linear |
Answer» D. linear |
90. |
Relation between two numbers or variables are called |
A. | function |
B. | binary relation |
C. | inverse relation |
D. | none of the above |
Answer» B. binary relation |
91. |
If B is a subset of A , then A is a -------- of B |
A. | super set |
B. | sub set |
C. | empty set |
D. | universal set |
Answer» A. super set |
92. |
the elements in the horizontal line in a matrix is called |
A. | columns |
B. | rows |
C. | elements |
D. | diagonal |
Answer» B. rows |
93. |
If matrix A is of mxn dimension, then Atwill be --------- dimension |
A. | nxm |
B. | mxn |
C. | nxp |
D. | mxm |
Answer» A. nxm |
94. |
If A=At , then A is |
A. | symmetric matrix |
B. | skew symmetric matrix |
C. | identity matrix |
D. | orthogonal matrix |
Answer» A. symmetric matrix |
95. |
Given S1={a,b,c}S2={a,1,2}, then (S1-S2) Π (S2-S1) is |
A. | 1 |
B. | a |
C. | b |
D. | null set |
Answer» D. null set |
96. |
The set of “stars in the sky” is an example of |
A. | countable set |
B. | infinite set |
C. | finite set |
D. | unit set |
Answer» B. infinite set |
97. |
Ordered pairs of two sets are called |
A. | elements |
B. | function |
C. | cartesian product |
D. | none of the above |
Answer» A. elements |
98. |
AB=BA=I, then B is said to be -------- matrix of A |
A. | adjoint |
B. | inverse |
C. | determinant |
D. | cofactor |
Answer» B. inverse |
99. |
Determinant of triangular matrix is the product of |
A. | diagonal elements |
B. | off-diagonal elements |
C. | rows |
D. | columns |
Answer» A. diagonal elements |
100. |
If IAI=24. then the determinant of its transpose is |
A. | 48 |
B. | 0 |
C. | 24 |
D. | 42 |
Answer» C. 24 |
Done Reading?