**Quantitative Techniques for Business Multiple Choice Questions**

**1. The techniques which provide the decision maker a systematic and powerful means of analysis to explore policies for achieving predetermined goals are called……………..**

A. mathematical techniques

B. correlation technique

C. quantitative techniques

D. none of the above

**Answer: **C. quantitative techniques

**2. Programming techniques are generally known as ……………………………..**

A. statistical techniques

B. mathematical techniques

C. operation research techniques

D. none of these

**Answer: **B. mathematical techniques

**3. ……………………………is the reverse process of differentiation**

A. differential equation

B. integration

C. determinant

D. none of these

**Answer: **B. integration

**4. ………………………… is a powerful device developed over the matrix algebra.**

A. integration

B. differentiation

C. determinants

D. none of these

**Answer: **C. determinants

**5. Correlation analysis is a……………………… analysis.**

A. univariate analysis

B. bivariate analysis

C. game theory

D. queuing theory

**Answer: **D. queuing theory

**6. When the values of two variables move in the same direction, correlation is said to be ……….**

A. positive

B. negative

C. linear

D. non-linear

**Answer: **A. positive

**7. When the values of two variables move in the opposite direction, correlation is said to be……**

A. positive

B. negative

C. linear

D. non-linear

**Answer: **B. negative

**8. When the amount of change in one variable leads to a constant ratio of change in the other variable, correlation is said to be ……………………….**

A. positive

B. negative

C. linear

D. non-linear

**Answer: **C. linear

**9. Scatter diagram is also called ……………………………..**

A. correlation graph

B. zero correlation

C. probability

D. none of the above

**Answer: **B. zero correlation

**10. If all the points of a scatter diagram lie on a straight line falling from the lower left-hand corner to the upper right-hand corner, the correlation is said to be ……………………..**

A. zero correlation

B. perfect positive correlation

C. perfect negative correlation

D. high degree of positive correlation

**Answer: **B. perfect positive correlation

**11. If all the dots of a scatter diagram lie on a straight line falling from the upper left-hand corner to the lower right hand corner, the correlation is said to be ……………………..**

A. zero correlation

B. perfect positive correlation

C. perfect negative correlation

D. high degree of negative correlation

**Answer: **C. perfect negative correlation

**12. The quantitative measure of correlation between two variables is known as………………..**.

A. coefficient of correlation

B. coefficient of regression

C. coefficient of determination

D. none of the above

**Answer: **A. coefficient of correlation

**13. Coefficient of correlation measures …………………………………….**

A. location

B. variability

C. concentration

D. relation

**Answer: **D. relation

**14. Coefficient of correlation lies between ……………………………….**

A. 0 and 1

B. 0 and -1

C. +1 and -1

D. none of these

**Answer: **C. +1 and -1

**15. Karl Pearson’s coefficient of correlation is denoted by the symbol ………………**

A. r

B. r

C. k

D. none of the above

**Answer: **B. r

**16. Correlation can be ……………………………………..**

A. positive only

B. negative only

C. between +1 and -1

D. positive

**Answer: **C. between +1 and -1

**17. If r= +1, the correlation is said to be …………………..**

A. perfectly positive correlation

B. high degree of correlation

C. direction and degree

D. none of the above

**Answer: **A. perfectly positive correlation

**18. An analysis of the covariance between two or more variables is called …………………………**

A. regression analysis

B. correlation analysis

C. testing of hypothesis

D. none of these

**Answer: **B. correlation analysis

**19. In correlation analysis, P.E. = ………………..0.6745**

A. standard error

B. probable error

C. coefficient of non-determination

D. coefficient of alienation

**Answer: **A. standard error

**20. If correlation between the two variables is unity , there exists ………………………………….**

A. perfect +ve correlation

B. perfect -ve correlation

C. zero correlation

D. perfect correlation

**Answer: **D. perfect correlation

**21. In correlation analysis, the formulae 1-r2 is used to compute the value of …………………..**

A. coefficient of determination

B. coefficient of non-determination

C. coefficient of correlation

D. coefficient of alienation

**Answer: **B. coefficient of non-determination

**22. Study of correlation between two sets of data only is called …………………………**

A. partial correlation

B. simple correlation

C. multiple correlation

D. none of the above

**Answer: **B. simple correlation

**23. ………..is the study of correlation between one dependent variable with one independent variable by keeping the other independent variables as constant.**

A. multiple correlation

B. simple correlation

C. partial correlation

D. none of the above

**Answer: **C. partial correlation

**24. ……….is the study of correlation among three or more variable simultaneously.**

A. multiple correlation

B. partial correlation

C. simple correlation

D. none of the above

**Answer: **A. multiple correlation

**25. In a correlation analysis, if r=0, then we may say that, there is ………………… between variables.**

A. no correlation

B. perfect correlation

C. linear correlation

D. none of the above

**Answer: **A. no correlation

**26. Coefficient of correlation is independent of ………………………………….**

A. origin

B. scale

C. both

D. none

**Answer: **C. both

**27. When r = -1, we may say that, there is ……………………..**

A. perfect negative correlation

B. high degree of negative correlation

C. 0.1

D. 2

**Answer: **A. perfect negative correlation

**28. If the ratio of change in one variable is equal to the ratio of change in the other variable, the correlation is said to be …………………………….**

A. linear

B. curvi-linear

C. non-linear

D. none of these

**Answer: **A. linear

**29. If the plotted points of a scatter diagram fall on a narrow band, it indicates a. …………degree of correlation.**

A. zero

B. low

C. high

D. none of these

**Answer: **C. high

**30. If r =0.9, coefficient of determination is …………………….**

A. 9%

B. 90%

C. absence

D. none of these

**Answer: **C. absence

31. If plotted points in a scatter diagram lie on a straight line vertical to the Y-axis, then r=………

A. +1

B. 0

C. -1

D. none of these

**Answer: **B. 0

32. …………………………..is the geometric mean of two regression coefficients.

A. coefficient of correlation

B. coefficient of standered deviation

C. arithmetic mean

D. coefficient of variation

**Answer: **A. coefficient of correlation

33. If dots in a scatter diagram are lie in a haphazard manner, then r= …………………..

A. 0

B. +1

C. -1

D. none of these

**Answer: **A. 0

34. Product moment correlation was developed by …………………..

A. karl pearson

B. charles edward spearman

C. kelly

D. none of these

**Answer: **A. karl pearson

35. Spearman’s coefficient of correlation is usually denoted by ……………..

A. r

B. k

C. r

D. none of these

**Answer: **C. r

36. If m is the coefficient of correlation, then the value of m2 is known as ……………..

A. coefficient of alienation

B. coefficient of determination

C. coefficient of non-determiantion

D. none of these

**Answer: **B. coefficient of determination

37. If m is the correlation coefficient, then the quantity (1-m2) is called ………………….

A. coefficient of determination

B. coefficient of non-determination

C. coefficient of alienation

D. none of these

**Answer: **B. coefficient of non-determination

38. The coefficient of correlation between two variables, X and Y , will have negative sign when……

A. x is increasing, y is decreasing

B. x is decreasing, y is increasing

C. any one of the above

D. none of these

**Answer: **C. any one of the above

39. Coefficient of concurrent deviation depends on ……………………..

A. magnitude of deviation

B. direction of deviation

C. both a and b

D. none of these

**Answer: **B. direction of deviation

40. ………………………. refers to analysis of average relationship between two variables to provide a mechanism for prediction.

A. correlation

B. regression

C. average

D. none of these

**Answer: **B. regression

41. The two regression lines coincide each other when r = …………………..

A. 0

B. -1

C. +1

D. none of these

**Answer: **C. +1

42. The two regression lines are mutually perpendicular when r = …………..

A. 0

B. -1

C. +1

D. none of these

**Answer: **A. 0

43. byx is the regression coefficient of regression equation ………………………

A. y on x

B. x on y

D. none of these

**Answer: **A. y on x

44. The signs of regression coefficients will be …………………..

A. different

B. same

D. none of these

**Answer: **B. same

45. The signs of correlation coefficient and regression coefficient are ……………………….

A. different

B. same

D. none of these

**Answer: **B. same

46. Scatter diagram of the various values of ( X, Y) gives the idea about …………………..

A. regression model

B. distribution of errors

C. functional relationship

D. none of the above

**Answer: **C. functional relationship

47. If X and Y are independent , the value of regression coefficient byx = ………………..

A. 1

B. 0

C. greater than 1

D. any negative value

**Answer: **B. 0

48. bxy x byx = …………………………

A. coefficient of regression

B. coefficient of regression

C. both

D. none

**Answer: **C. both

49. If X and Y are two variables, there can be at most ……………………..

A. three regression lines

B. two regression lines

C. one regression line

D. infinite number of regression lines

**Answer: **B. two regression lines

50. Geometric mean of regression coefficients will be …………………………

A. coefficient of correlation

B. coefficient of determination

C. coefficient of variation

D. none of these

**Answer: **A. coefficient of correlation

51. In a regression line of Y on X, the variable X is known as …………………………….

A. explanatory variable

B. independent variable

C. regressor

D. all the above

**Answer: **D. all the above

52. The term regression was used firstly by ………………………..

A. prof. karl pearson

B. edward spearman

D. none of these

**Answer: **C. 0

53. If a constant 30 is subtracted from each of the value of X and Y , the regression coefficient is

……………………..

A. reduced by 30

B. increased by 30

C. not changed

D. 1/30th of the original regression

**Answer: **C. not changed

54. In …………………….regression, only one independent variable is used to explain the dependent

variable.

A. linear

B. multiple

C. scatter diagram

D. none of these

**Answer: **A. linear

55. Regression lines are also called …………………….

A. correlation graph

B. scatter diagram

C. scatter diagram

D. none of these

**Answer: **C. scatter diagram

56. If the correlation between the two variables , X and Y is negative, the regression coefficient of

Y on X is ………………………..

A. zero

B. positive

C. negative

D. not certain

**Answer: **C. negative

57. The arithmetic mean of bxy and byx is ……………………..

A. equal to one

B. greater than r

C. francis galton

D. none of these

**Answer: **B. greater than r

58. The regression coefficient and correlation coefficient of two variables will be the same, if their

……………….. are same.

A. standard deviation

B. arithmetic mean

C. mean deviation

D. none of these

**Answer: **A. standard deviation

59. If the sign of regression coefficient bxy is negative, then the sign of regression coefficient byx will

be ……………………

A. positive

B. negative

D. none of these

**Answer: **B. negative

60. The square root of coefficient of determination is ……………….

A. coefficient of correlation

B. coefficient of regression

C. coefficient of variation

D. none of these

**Answer: **A. coefficient of correlation

61. While analysing the relationship between variables, independent variable is also

called…………………………….

A. explained variable

B. explanatory variable

C. variable

D. none of these

**Answer: **B. explanatory variable

62. Dependent variable is also called ……………………….

A. explained variable

B. explanatory variable

C. 4.0

D. 0.4

**Answer: **A. explained variable

63. If one regression coefficient is positive, the other is …………………..

A. positive

B. negative

C. zero

D. 1

**Answer: **A. positive

64. The arithmetic mean of bxy and byx is ………………………..

A. equal to 1

B. equal to 0

C. greater than r

D. less than r

**Answer: **C. greater than r

65. ………………………… refers to the chance of happening or not happening of an event.

A. regression

B. probability

C. correlation

D. none of these

**Answer: **B. probability

66. The numerical value given to the likelyhood of the occurrence of an event is called…………….

A. correlation

B. regression

C. probability

D. none of these

**Answer: **C. probability

67. Sample point is also called …………………….

A. sample space

B. elementary outcome

C. probability

D. none of these

**Answer: **B. elementary outcome

68. The result of a random experiment is called ……………………………

A. sample space

B. event

C. probability

D. none of these

**Answer: **B. event

69. ………………………. has two or more outcomes which vary in an unpredictable manner from trial to trial

when conducted under uniform conditions.

A. experiment

B. random experiment

C. probability

D. none of these

**Answer: **B. random experiment

70. An event whose occurrence is inevitable is called ………………………………..

A. sure event

B. impossible event

C. uncertain event

D. none of these

**Answer: **A. sure event

71. An event whose occurrence is impossible, is called ………………….

A. sure event

B. impossible event

C. uncertain event

D. none of these

**Answer: **A. sure event

72. An event whose occurrence is neither sure nor impossible, is called ………………………

A. sure event

B. impossible event

C. uncertain event

D. none of these

**Answer: **C. uncertain event

73. A set of events are said to be …………………. , if the occurrence of one of them excludes the

possibility of the occurrence of the other.

A. mutually exclusive

B. not mutually exclusive

C. independent

D. none of them

**Answer: **A. mutually exclusive

74. ………………….. refers to the arrangement of objects in a definite order.

A. combination

B. permutation

C. independent

D. none of them

**Answer: **B. permutation

75. Selection of objects without considering their order is called ……………………………..

A. combination

B. permutation 94. 12c12 = …………….

C. independent

D. none of them

**Answer: **A. combination

76. Classical probability is also called …………………….

A. priori probability

B. mathematical probability

C. finite set

D. none of these

**Answer: **D. none of these

77. The relative frequency approach is also called …………………………..

A. empirical approach

B. statistical probability

C. apsteriori probability

D. all the above

**Answer: **D. all the above

78. When P(AUB) = P(A) + P(B), then A and B are ………………………..

A. dependent

B. independent

C. mutually exclusive

D. none of these

**Answer: **C. mutually exclusive

79. When two events cannot occur together is called ……………………

A. equally likely

B. mutually exclusive

C. random events

D. none of these

**Answer: **B. mutually exclusive

80. If two sets have no common element, they are called ………………..

A. subset

B. super set

C. disjoint set

D. equal set

**Answer: **C. disjoint set

81. Two events are said to be ………………… , if any one of them cannot be expected to occur in

preference to the other.

A. equally likely

B. mutually exclusive

C. dependent

D. none of them

**Answer: **A. equally likely

82. Two events are said to be independent if ……………………

A. there is no common point in between them

B. both the events have only one point

C. each outcome has equal chance of occurrence

D. one does not affect the occurrence of the other

**Answer: **D. one does not affect the occurrence of the other

83. Probability of an event lies between …………………………..

A. +1 and -1

B. 0 and 1

C. 0 and -1

D. 0 and infinite

**Answer: **B. 0 and 1

84. Probability of sample space of a random experiment is ……………………….

A. -1

B. 0

C. +1

D. between 0 and +1

**Answer: **C. +1

85. In tossing a coin , getting head and getting tail are ……………………………………..

A. mutually exclusive events

B. simple events

C. complementary events

D. all the above

**Answer: **A. mutually exclusive events

86. If two events, A and B are mutually exclusive, then P(AUB) = …………………….

A. p(a) + p(b)

B. p(a) + p(b) – p(a and b)

C. p(a) + p(b) + p(a and b)

D. none of these

**Answer: **A. p(a) + p(b)

87. If two events, A and B are not mutually exclusive, the P(AUB) = ………………

A. p(a) + p(b)

B. p(a) + p(b) – p(a and b)

C. p(a) + p(b) + p(a and b)

D. none of these

**Answer: **B. p(a) + p(b) – p(a and b)

88. An event consisting of those elements which are not in the given event is called………….

A. simple event

B. derived event

C. complementary event

D. none of these

**Answer: **C. complementary event

89. The definition of priori probability was originally given by ……………………….

A. de-moivre

B. laplace

C. pierre de fermat

D. james bernoulli

**Answer: **B. laplace

90. …………………… refers to the totality of all the elementary outcomes of a random experiment.

A. sample point

B. sample space

C. simple event

D. none of these

**Answer: **B. sample space

91. The sum of probabilities of all possible elementary outcomes of a random experiment is

always equal to ……………….

A. 0

B. 1

C. infinity

D. none of these

**Answer: **B. 1

92. Chance for an event may be expressed as ……………..

A. percentage

B. proportion

C. infinity

D. none of these

**Answer: **D. none of these

93. If it is known that an event A has occurred, the probability of an event B given A is called

……………………….

A. empirical probability

B. conditional probability

C. priori probability

D. posterior probability

**Answer: **B. conditional probability

94. The mean of a binomial distribution is ………………………

A. np

B. npq

C. square root of npq

D. none of these

**Answer: **A. np

95. Binomial distribution is a ………………………….. probability distribution

A. discrete

B. continuous

C. continuous distribution

D. none of these

**Answer: **A. discrete

96. Binomial distribution is originated by …………………………….

A. prof. karl pearson

B. simeon dennis poisson

C. james bernoulli

D. de-moivre

**Answer: **C. james bernoulli

97. When probability is revised on the basis of all the available information, it is called ………….

A. priori probability

B. posterior probability

C. continuous

D. none of these

**Answer: **B. posterior probability

98. Baye’s theorem is based upon inverse probability.

A. yes

B. no

C. probability

D. none of these

**Answer: **A. yes

99. Probability distribution is also called theoretical distribution.

A. yes

B. no

C. probability

D. none of these

**Answer: **A. yes

100. The height of persons in a country is a …………………….. random variable.

A. discrete

B. continuous

C. discrete as well as continuous

D. neither discrete nor continuous

**Answer: **B. continuous

101. Random variable is also called …………………………

A. stochastic variable

B. chance variable

C. both

D. none of these

**Answer: **C. both

102. If the random variable of a probability distribution assumes specific values only, then it is

called ………………………….

A. discrete probability distribution

B. continuous probability distribution

C. probability distribution

D. none of these

**Answer: **A. discrete probability distribution

103. npq is the variance of ………………………………

A. binomial distribution

B. poisson distribution

C. probability distribution

D. none of these

**Answer: **A. binomial distribution

104. For a binomial distribution with probability p of a success and of q of a failure, the relation

between mean and variance is ………………………..

A. mean is less than variance

B. mean is greater than variance

C. mean is equal to variance

D. mean is greater than or equal to variance

**Answer: **B. mean is greater than variance

105. In a binomial distribution, if n =8 and p = 1/3, then variance = ……………………

A. 8/3

B. 48/3

C. 64/3

D. 16/9

**Answer: **D. 16/9

106. In a ………………………… distribution, mean is equal to variance

A. binomial

B. poisson

C. normal

D. gamma

**Answer: **B. poisson

107. For a binomial distribution, the parameter n takes …………………. values

A. finite

B. infinite

C. continuous

D. none of these

**Answer: **A. finite

108. Poisson distribution is the limiting form of ………………………….

A. binomial distribution

B. normal distribution

C. poisson

D. none of these

**Answer: **A. binomial distribution

109. Poisson distribution is originated by ……………………..

A. de-moivre

B. bernoulli

C. poisson

D. none of these

**Answer: **C. poisson

110. In Poisson distribution, mean is denoted by ……………………

A. npq

B. np

C. m

D. e

**Answer: **C. m

111. Poisson distribution is a ……………………… distribution.

A. negatively skewed distribution

B. positively skewed distribution

C. symmetrical distribution

D. none of these

**Answer: **B. positively skewed distribution

112. In Poisson distribution, the value of ‘e’ = ……………………..

A. 2.178

B. 2.817

C. 2.718

D. 2.871

**Answer: **C. 2.718

113. Mean and variance of Poisson distribution is equal to ………………………….

A. m

B. e

C. np

D. npq

**Answer: **A. m

114. If two independent random variables follow binomial distribution, their sum follows…………..

A. binomial distribution

B. poisson distribution

C. normal distribution

D. none of these

**Answer: **A. binomial distribution

115. When X follows binomial distribution, P(X=0) is…………………….

A. 0

B. 1

C. qn

D. pn

**Answer: **C. qn

116. Normal distribution was first discovered by …………………………….. in 1733 as limiting form of

binomial distribution.

A. karl pearson

B. james bernoulli

C. de-moivre

D. simeon denis poisson

**Answer: **C. de-moivre

117. Normal distribution is a……………………… probability distribution.

A. discrete

B. continuous

C. poisson

D. none of these

**Answer: **B. continuous

118. ………………………distribution gives a normal bell shaped curve.

A. normal

B. poisson

C. binomial

D. none of these

**Answer: **A. normal

119. The normal curve is ……………………………

A. bi-model

B. uni-model

C. mean

D. none of these

**Answer: **B. uni-model

120. Normal distribution is ………………….

A. continuous

B. unimodal

C. normal

D. none of these

**Answer: **D. none of these

121. For a normal curve , the QD, MD, and SD are in the ratio of …………………………

A. 5:8:10

B. 10:12:15

C. 2:3:5

D. none of these

**Answer: **B. 10:12:15

122. An approximate relation between QD and SD of normal distribution is ……………

A. 2qd = 3sd

B. 5qd = 4sd

C. 4qd = 5sd

D. 3qd = 2sd

**Answer: **D. 3qd = 2sd

123. An approximate relation between MD about mean and SD of a normal distribution is

……………………….

A. 5md = 4 sd

B. 3md = 3 sd

C. 3md = 2 sd

D. 4md = 5 sd

**Answer: **A. 5md = 4 sd

124. The area under the standard normal curve beyond the line z = ±1.96 is ………………………….

A. 5%

B. 10%

C. 90%

D. 95%

**Answer: **A. 5%

125. Normal distribution is …………………………..

A. mesokurtic

B. leptokurtic

C. more than 0

D. in between +1 and -1

**Answer: **A. mesokurtic

126. Mean Deviation (M.D) for normal distribution is equal to ………………….

A. 5/4 s.d.

B. 3/2 s.d.

C. 4/5 s

**Answer: **C. 4/5 s

127. In a ……………………. distribution, quartiles are equi-distant from median.

A. binomial

B. poisson

C. normal

D. none of these

**Answer: **C. normal

128. A normal distribution requires two parameters, namely the mean and …………..

A. median

B. mode

C. standard deviation±

D. mean deviation

**Answer: **C. standard deviation±

129. A normal distribution is an approximation to …………………………

A. binomial distribution

B. poisson distribution

C. poisson

D. none of these

**Answer: **A. binomial distribution

130. Mean ± 2 S.D. covers ………….. % area of normal curve.

A. 68.27

B. 95.45

C. 95.54

D. 98.73

**Answer: **B. 95.45

131. Theoretically, the range of normal curve is …………………………………………

A. -1 to +1

B. +1 to infinity

C. –infinity to +infinity

D. none of these

**Answer: **C. –infinity to +infinity

132. Standard deviation of the sampling distribution is called ……………………….

A. probable error

B. standard error

C. mean deviation

D. coefficient of variation

**Answer: **B. standard error

133. Index numbers are

A. special type of average

B. measure the economic changes

C. to measure relative changes

D. all of these

**Answer: **D. all of these

134. The techniques which provide the decision maker a systematic and powerful means of

analysis to explore policies for achieving predetermined goals are called……………..

A. Mathematical techniques

B. Correlation technique

C. Quantitative techniques

D. . None of the above

**Answer: **C. Quantitative techniques

135. ……………………….. is the reverse process of differentiation

A. Differential equation

B. Integration

C. Determinant

D. None of these

**Answer: **B. Integration

136. ………………………….is an operation research technique which resembles a real life

situation.

A. Decision theory

B. Simulation

C. Game theory

D. Queuing theory

**Answer: **B. Simulation

137. C.P.M. stands for………………………………………………….

A. Critical Process Method

B. Critical Performance Measurement

C. Critical Path Method

D. Critical Programme Method

**Answer: **C. Critical Path Method

138. The word correlation usually implies………………………..

A. Cause and effect relationship

B. Mutual interdependence

C. Both

D. None of the above

**Answer: **C. Both

139. Correlation analysis is a ……………………….analysis.

A. Univariate analysis

B. Bivariate analysis

C. Multivariate analysis

D. Both b and c

**Answer: **D. Both b and c

140. When the values of two variables move in the same direction, correlation is said to be

……….

A. Positive

B. Negative

C. Linear

D. Non-linear

**Answer: **A. Positive

141. When the values of two variables move in the opposite direction, correlation is said to be

……………………

A. Positive

B. Negative

C. Linear

D. Non-linear

**Answer: **B. Negative

142. A _________ is a decision support tool that uses a tree-like graph or model of decisions

and their possible consequences, including chance event outcomes, resource costs, and utility.

A. Decision tree

B. Graphs

C. Trees

D. Neural Networks

**Answer: **A. Decision tree

143. What is Decision Tree?

A. Flow-Chart

B. Structure in which internal node represents test on an attribute, each branch represents outcome of test and each leaf node represents class label

C. Flow-Chart & Structure in which internal node represents test on an attribute, each branch represents outcome of test and each leaf node represents class label

D. None of the mentioned

**Answer: **C. Flow-Chart & Structure in which internal node represents test on an attribute, each branch represents outcome of test and each leaf node represents class label

144. Choose from the following that are Decision Tree nodes?

A. Decision Nodes

B. End Nodes

C. Chance Nodes

D. All of the above

**Answer: **D. All of the above

145. Decision Nodes are represented by ——

A. Disks

B. Squares

C. Circles

D. Triangles

**Answer: **B. Squares

146. Chance Nodes are represented by __________

A. Disks

B. Squares

C. Circles

D. Triangles

**Answer: **C. Circles

147. Which of the following are the advantage/s of Decision Trees?

A. Possible Scenarios can be added

B. Use a white box model, If given result is provided by a model

C. Worst, best and expected values can be determined for different scenarios

D. All of the above

**Answer: **D. All of the above

148. —– are the whose values are to be determined from the solution of the LPP

A. Objective function

B. Decision variables

C. Constrains

D. Opportunity cost

**Answer: **B. Decision variables

149. ———— specifies the objective or goal of solving the LPP

A. Objective function

B. Decision variables

C. Constraints

D. Opportunity cost

**Answer: **A. Objective function

150. Objective function is expressed in terms of the ————–

A. Numbers

B. Symbols

C. Decision variables

D. None of the above

**Answer: **C. Decision variables

151. ———- are the restrictions or limitations imposed on the LPP

A. Variables

B. Cost

C. Profit

D. Constraints

**Answer: **D. Constraints

152. Region of feasible solution in LPP graphical method is called

A. Infeasible region

B. Unbounded region

C. Infinite region

D. Feasible region

**Answer: **D. Feasible region

153. When it is not possible to find solution in LPP, it is called as case of ———

A. Unknown solution

B. Unbounded solution

C. Infeasible solution

D. Improper solution

**Answer: **C. Infeasible solution

154. When the feasible region is such that the value of objective function can extended to infinity, it is called a case of ————

A. Infeasible region

B. Alternate optimal

C. Unbounded solution

D. Unique solution

**Answer: **C. Unbounded solution

155. When the constraints are a mix of ‘less than’ and ‘greater than’ it is called a problem having

A. Multiple constraints

B. Infinite constraints

C. Infeasible region

D. Mixed constraints

**Answer: **D. Mixed constraints

156. In linear programming, unbounded solution means ————–

A. Infeasible region

B. Degenerate solution

C. Infinite solution

D. Unique solution

**Answer: **C. Infinite solution