Question 1

While computing the arithmetic mean of a frequency distribution, the each value of a class is considered equal to:

Accepted Answer

A)  Class mark
B)  Lower limit
C)  Upper limit
D)  Lower class boundary B

Question 2

Feasible solution satisfies

Accepted Answer

A)  Only constraints
B)  only non- negative
C)  Both A and B
D)  A, B and optimal solution C

Question 3

Operations research is the application of methods to arrive at the optimal solutions to the problems.

Accepted Answer

A)  Economical
B)  Scientific
C)  Both A and B
D)  Artistic B

Question 4

A solution can be extracted from a model either by

Accepted Answer

A)  Conducting experiments on it
B)  Mathematical analysis
C)  Both A and B
D)  Diversified Technique

Question 5

Suitable average for averaging the shoe sizes for children is

Accepted Answer

A)  Mean
B)  Mode
C)  Median
D)  Geometric mean

Question 6

OR can evaluate only the effects of .

Accepted Answer

A)  Personnel factors
B)  Financial factors
C)  Numeric and quantifiable factors
D)  Both A and B

Question 7

What have been constructed from OR problems and methods for solving the models that are available in many cases?

Accepted Answer

A)  Scientific models
B)  Algorithms
C)  Mathematical models
D)  None of these

Question 8

The main limitation of operations research is that it often ignores the human element in the production process.

Accepted Answer

A) True 
 B)False

Question 9

If X1, X2, X3, ... Xn, be n observations having arithmetic mean and if Y =4X ± 2, then is equal to:

Accepted Answer

A)  4X
B)  4
C)  4 ± 2
D)  4 ± 2.

Question 10

A measurement that corresponds to largest frequency in a set of data is called:

Accepted Answer

A)  Mean
B)  Median
C)  Mode
D)  Percentile

Question 11

The sum of the squares of the deviations of the values of a variable is least when the deviations are measured from

Accepted Answer

A)  Harmonic mean
B)  Geometric mean
C)  Median
D)  Arithmetic mean

Question 12

For a certain distribution, if ?(X -20) = 25, ?(X- 25) =0, and ?(X-35) = -25, then is equal to:

Accepted Answer

A)  20
B)  25
C)  -25
D)  35

Question 13

In operations research, the are prepared for situations.

Accepted Answer

A)  Mathematical models
B)  Physical models diagrammatic
C)  Diagrammatic models
D)  Both B and C

Question 14

The sum of the squares fo the deviations about mean is:

Accepted Answer

A)  Zero
B)  Maximum
C)  Minimum
D)  All of the above

Question 15

If the arithmetic mean of the two numbers X1 and X2 is 5 if X1=3, then X2 is:

Accepted Answer

A)  3
B)  5
C)  7
D)  10

Question 16

We must arrange the data before calculating:

Accepted Answer

A)  Mean
B)  Median
C)  Mode
D)  Geometric mean

Question 17

The lower and upper quartiles of a symmetrical distribution are 40 and 60 respectively. The value of median is:

Accepted Answer

A)  40
B)  50
C)  60
D)  (60 - 40)  / 2

Question 18

Ten families have an average of 2 boys. How many boys do they have together?

Accepted Answer

A)  2
B)  10
C)  12
D)  20

Question 19

What is the objective function in linear programming problems?

Accepted Answer

A)  A constraint for available resource
B)  An objective for research and development of a company
C)  A linear function in an optimization problem
D)  A set of non- negativity conditions

Question 20

Which of the following is not the phase of OR methodology?

Accepted Answer

A)  Formulating a proble
B)  Constructing a model
C)  Establishing controls
D)  Controlling the environment

Exam 1: Measures of Central Tendency and Operations Research