# 150+ Quantitative Techniques for Business Solved MCQs

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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
2.

## Programming techniques are generally known as ...................................

A. statistical techniques
B. mathematical techniques
C. operation research techniques
D. none of these
3.

## .................................is the reverse process of differentiation

A. differential equation
B. integration
C. determinant
D. none of these
4.

## .............................. is a powerful device developed over the matrix algebra.

A. integration
B. differentiation
C. determinants
D. none of these
5.

## Correlation analysis is a........................... analysis.

A. univariate analysis
B. bivariate analysis
C. game theory
D. queuing theory
6.

A. positive
B. negative
C. linear
D. non-linear
7.

A. positive
B. negative
C. linear
D. non-linear
8.

A. positive
B. negative
C. linear
D. non-linear
9.

## Scatter diagram is also called ...................................

A. correlation graph
B. zero correlation
C. probability
D. none of the above
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
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
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
13.

A. location
B. variability
C. concentration
D. relation
14.

A. 0 and 1
B. 0 and -1
C. +1 and -1
D. none of these
15.

## Karl Pearson’s coefficient of correlation is denoted by the symbol ..................

A. r
B. r
C. k
D. none of the above
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
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
19.

## In correlation analysis, P.E. = ....................0.6745

A. standard error
B. probable error
C. coefficient of non-determination
D. coefficient of alienation
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
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
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
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
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
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
26.

A. origin
B. scale
C. both
D. none
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
28.

A. linear
B. curvi-linear
C. non-linear
D. none of these
29.

A. zero
B. low
C. high
D. none of these
30.

A. 9%
B. 90%
C. absence
D. none of these
31.

A. +1
B. 0
C. -1
D. none of these
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
33.

A. 0
B. +1
C. -1
D. none of these
34.

## Product moment correlation was developed by .......................

A. karl pearson
B. charles edward spearman
C. kelly
D. none of these
35.

A. r
B. k
C. r
D. none of these
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
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
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
40.

A. correlation
B. regression
C. average
D. none of these
41.

A. 0
B. -1
C. +1
D. none of these
42.

A. 0
B. -1
C. +1
D. none of these
43.

A. y on x
B. x on y
C. 0
D. none of these
44.

A. different
B. same
C. 0
D. none of these
45.

A. different
B. same
C. 0
D. none of these
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
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
48.

## bxy x byx = ..............................

A. coefficient of regression
B. coefficient of regression
C. both
D. none
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
50.

## Geometric mean of regression coefficients will be ..............................

A. coefficient of correlation
B. coefficient of determination
C. coefficient of variation
D. none of these
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
52.

## The term regression was used firstly by .............................

A. prof. karl pearson
B. edward spearman
C. 0
D. none of these
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
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
55.

## Regression lines are also called .........................

A. correlation graph
B. scatter diagram
C. scatter diagram
D. none of these
56.

A. zero
B. positive
C. negative
D. not certain
57.

## The arithmetic mean of bxy and byx is ..........................

A. equal to one
B. greater than r
C. francis galton
D. none of these
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
59.

A. positive
B. negative
C. 0
D. none of these
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
61.

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

A. explained variable
B. explanatory variable
C. variable
D. none of these
62.

## Dependent variable is also called ............................

A. explained variable
B. explanatory variable
C. 4.0
D. 0.4
63.

A. positive
B. negative
C. zero
D. 1
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
65.

A. regression
B. probability
C. correlation
D. none of these
66.

A. correlation
B. regression
C. probability
D. none of these
67.

## Sample point is also called .........................

A. sample space
B. elementary outcome
C. probability
D. none of these
68.

A. sample space
B. event
C. probability
D. none of these
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
70.

## An event whose occurrence is inevitable is called ......................................

A. sure event
B. impossible event
C. uncertain event
D. none of these
71.

## An event whose occurrence is impossible, is called ......................

A. sure event
B. impossible event
C. uncertain event
D. none of these
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
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
74.

A. combination
B. permutation
C. independent
D. none of them
75.

## Selection of objects without considering their order is called ...................................

A. combination
B. permutation 94. 12c12 = ................
C. independent
D. none of them
76.

## Classical probability is also called .........................

A. priori probability
B. mathematical probability
C. finite set
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
78.

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

A. dependent
B. independent
C. mutually exclusive
D. none of these
79.

## When two events cannot occur together is called ........................

A. equally likely
B. mutually exclusive
C. random events
D. none of these
80.

A. subset
B. super set
C. disjoint set
D. equal 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
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
84.

## Probability of sample space of a random experiment is ............................

A. -1
B. 0
C. +1
D. between 0 and +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
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
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
89.

## The definition of priori probability was originally given by ............................

A. de-moivre
B. laplace
C. pierre de fermat
D. james bernoulli
90.

A. sample point
B. sample space
C. simple event
D. none of these
91.

A. 0
B. 1
C. infinity
D. none of these
92.

A. percentage
B. proportion
C. infinity
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
94.

## The mean of a binomial distribution is ...........................

A. np
B. npq
C. square root of npq
D. none of these
95.

## Binomial distribution is a ................................ probability distribution

A. discrete
B. continuous
C. continuous distribution
D. none of these
96.

## Binomial distribution is originated by ..................................

A. prof. karl pearson
B. simeon dennis poisson
C. james bernoulli
D. de-moivre
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
98.

A. yes
B. no
C. probability
D. none of these
99.

A. yes
B. no
C. probability
D. none of these
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