McqMate

49

31k

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 |

Done Reading?

Tags

Question and answers in
Mathematics for Economic Analysis,
Mathematics for Economic Analysis
multiple choice questions and answers,
Mathematics for Economic Analysis
Important MCQs,
Solved MCQs for
Mathematics for Economic Analysis,
Mathematics for Economic Analysis
MCQs with answers PDF download