McqMate
| 1. |
The objects constituting a set are called |
| A. | estimates |
| B. | elements |
| C. | set objects |
| D. | none of these |
| Answer» B. elements | |
| 2. |
Who is regarded as the founder of theory of sets? |
| A. | adam smith |
| B. | karl frederich gauss |
| C. | george cantor |
| D. | euller |
| Answer» C. george cantor | |
| 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» A. always 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» C. equivalent 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. |
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 | |
| 15. |
Union of A and the universal set is |
| A. | a |
| B. | a’ |
| C. | universal set |
| D. | none of these |
| Answer» C. universal set | |
| 16. |
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 | |
| 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 |
| A. | associative law of union |
| B. | cumulative law of union |
| C. | reflective law |
| D. | all the above |
| Answer» B. cumulative law of union | |
| 18. |
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 b) u c = a u b u c | |
| 19. |
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» 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 |
| 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 | |
| 21. |
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 | |
| 22. |
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 | |
| 23. |
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 | |
| 24. |
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 | |
| 25. |
Any number raise to the power zero is always equal to |
| A. | zero |
| B. | one |
| C. | two |
| D. | that number itself |
| Answer» B. one | |
| 26. |
The value of is |
| A. | 32 x |
| B. | 32 x 7 |
| C. | 2 x |
| D. | none of these |
| Answer» B. 32 x 7 | |
| 27. |
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 | |
| 28. |
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 | |
| 29. |
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 | |
| 30. |
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 | |
| 31. |
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 | |
| 32. |
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 | |
| 33. |
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 | |
| 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 |
| A. | implicit functions |
| B. | explicit functions |
| C. | simultaneous equations |
| D. | quadratic equations |
| Answer» C. simultaneous equations | |
| 35. |
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 | |
| 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 |
| A. | supply price |
| B. | demand price |
| C. | equilibrium price |
| D. | reserved price |
| Answer» A. supply price | |
| 37. |
The equilibrium price and quantity, given the inverse demand and supply functions pD =-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 | |
| 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 |
| A. | x = |
| B. | x = |
| C. | x = |
| D. | none of these |
| Answer» A. x = | |
| 39. |
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 | |
| 40. |
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 | |
| 41. |
A possible use in economics for the circle or the ellipse is to model |
| A. | production possibility curve |
| B. | demand curve |
| C. | isocost line |
| D. | supply curve |
| Answer» 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 |
| A. | 4x + 3y = 120 |
| B. | 3x + 4y = 120 |
| C. | 12x + 12y = 120 |
| D. | cannot be determined |
| Answer» 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 |
| A. | hessian determinant |
| B. | jacobian determinant |
| C. | discriminant |
| D. | first order determinant |
| Answer» B. jacobian determinant | |
| 44. |
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 | |
| 45. |
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 | |
| 46. |
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 | |
| 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 |
| A. | jacobian determinant |
| B. | hessian determinant |
| C. | discriminant |
| D. | none of these |
| Answer» B. hessian determinant | |
| 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. |
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 | |
| 64. |
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 | |
| 65. |
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 | |
| 66. |
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 | |
| 67. |
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 | |
| 68. |
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 | |
| 69. |
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 | |
| 70. |
Find the co-factor A23 of the matrix A = |
| A. | 23 |
| B. | 7 |
| C. | -23 |
| D. | -7 |
| Answer» D. -7 | |
| 71. |
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 | |
| 72. |
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 | |
| 73. |
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 | |
| 74. |
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 | |
| 75. |
For any square matrix A of order ‘n’, A - AT is |
| A. | skew symmetric |
| B. | non-skew symmetric |
| C. | symmetric |
| D. | non-symmetric |
| Answer» A. skew symmetric | |
| 76. |
If matrix A is comfortable for multiplication the (AB)T is equal to |
| A. | (ba)t |
| B. | btat |
| C. | atbt |
| D. | at+bt |
| Answer» 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 |
| A. | a |
| B. | ia |
| C. | i |
| D. | both (a) & (b) |
| Answer» D. both (a) & (b) | |
| 78. |
The signed minor of the matrix A is called |
| A. | adjoint |
| B. | co-factor |
| C. | minor |
| D. | rank |
| Answer» B. co-factor | |
| 79. |
The determinant of a matrix and that of its transpose are |
| A. | equal |
| B. | zero |
| C. | one |
| D. | negatively related |
| Answer» A. equal | |
| 80. |
If two rows or columns of a determinant A are identical, then the value of the determinant is ... |
| A. | equal |
| B. | zero |
| C. | one |
| D. | negatively related |
| Answer» 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 |
| A. | equal |
| B. | one |
| C. | zero |
| D. | not equal |
| Answer» C. zero | |
| 82. |
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 | |
| 83. |
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 | |
| 84. |
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 | |
| 85. |
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 | |
| 86. |
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 | |
| 87. |
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 | |
| 88. |
Matrix multiplication does not satisfy --------- law |
| A. | associative |
| B. | distributive |
| C. | commutative |
| D. | none of the above |
| Answer» C. commutative | |
| 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 At will 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 | |
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