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Objective Questions

Latest RPSC Research Assistant Exam Question (Objective Questions), MCQ in English

Subjects : Statistics, Planning, Computer

Question Bank RPSC Research Assistant Exam Paper II - English

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Statistics

Question 1Single Answer

If x and y are related by x – y – 10 = 0 and mode of x is known to be 23, then the mode of y is :

A
20
B
13
C
3
D
23

Question 2Single Answer

A man travels at a speed of 20 km/hr and then returns at a speed of 30 km/hr. His average speed of the whole journey is

A
25 km/hr
B
24.5 km/hr
C
24 km/hr
D
None

Question 3Single Answer

A student obtained the mean and standard deviation of 100 observations as 40 and 5.1 respectively. It was later discovered that he had wrongly copied down an observation as 50 instead of 40. The correct standard deviation is

Question 4Single Answer

For a moderately skewed distribution, quartile deviation and the standard deviation are related by

Question 5Single Answer

The median of the data 13, 8, 11, 6, 4, 15, 2, 18 is

A
5
B
8
C
11
D
9.5

Question 6Single Answer

The sum of the squares of deviations of a set of observations has the smallest value; when the deviations are taken from their

A
A.M.
B
H. M.
C
G. M.
D
None

Question 7Single Answer

If two samples of sizes 30 and 20 have means as 55 and 60 and variances as 16 and 25 respectively, then what would be the S.D. of the combined sample size 50 ?

A
5.33
B
5.17
C
5.06
D
5

Question 8Single Answer

If two variables x & y are related by 2x + 3y –7 = 0 and the mean and mean deviation about mean of x are 1 and 0.3 respectively, then the coefficient of mean deviation of y about mean is

A
–5
B
4
C
12
D
50

Question 9Single Answer

Which of the following result hold for a set of distinct positive observations ?

A
A.M > G.M > H.M
B
G.M. > A.M. > H.M
C
G.M > A.M > H.M
D
A.M > G.M > H.M

Question 10Single Answer

Measures of dispersion are called averages of the ____ order .

A
1st
B
2nd
C
3rd
D
None

Question 11Single Answer

For a set of 100 observations, taking assumed mean as 4, the sum of the deviations is –11 cm and the sum of the squares of these deviations is 257 cm. The coefficient of variation is :

A
41.13%
B
42.13%
C
0.13%
D
None

Question 12Single Answer

If the AM and HM for two numbers are 5 and 3.2 respectively, then the GM will be

A
4.05
B
16
C
4
D
4.10

Question 13Single Answer

________ are used for measuring central tendency, dispersion and skewness

A
Median
B
Deciles
C
Percentiles
D
Quartiles

Question 14Single Answer

Which of the following companies A or B is more consistent so far as the payment of dividend is concerned ?
Dividend paid by A : 5 9 6 12 15 10 8 10
Dividend paid by B : 4 8 7 15 18 9 6 6

A
A
B
B
C
Both A & B
D
Neither A nor B

Question 15Single Answer

What is the coefficient of range for the following distribution ?
Class Interval : 10-19 20-29 30-39 40-49 50-59
Frequency : 11 25 16 7 3

A
22
B
50
C
75.82
D
72.46

Question 16Single Answer

An aeroplane flies from A to B at the rate of 500 km/hr and comes back from B to A at the rate of 700 km/hr. The average speed of the aeroplane is

A
600 km/hr
B
583.33 km/hr
C
D
620 km/hr

Question 17Single Answer

For a moderately skewed distribution, which of the following relationship holds ?

A
Mean – Median = 3 (Median – Mode)
B
Median – Mode = 3 (Mean – Median)
C
Mean – Mode = 3 (Mean – Median)
D
Mean – Median = 3 (Mean – Mode)

Question 18Single Answer

___ & ___ are called ratio averages :

A
HM & GM
B
HM & AM
C
AM & GM
D
None

Question 19Single Answer

A sample of 35 observations has the mean 80 and S.D. as 4. A second sample of 65 observations from the same population has mean 70 and S.D. 3. The S.D. of the combined sample is :

A
5.85
B
5.58
C
10.23
D
None of these

Question 20Single Answer

If x and y are related as 3x – 4y = 20 and the quartile deviation of x is 12, then the quartile deviation of y is

A
14
B
15
C
16
D
9

Question 21Single Answer

Extreme values have ____ effect on mode .

A
High
B
low
C
No
D
None of these

Question 22Single Answer

The mean salary for a group of 40 female workers is Rs. 5,200 per month and that for a group of 60 male workers is Rs. 6,800 per month. What is the combined salary ?

A
Rs. 6,160
B
Rs. 6,280
C
Rs. 6,890
D
Rs. 6,920

Question 23Single Answer

The best measure of dispersion is

A
Q.D.
B
M.D.
C
Range
D
S.D.

Question 24Single Answer

If the mean and S.D. of x are a and b respectively, then the S.D. of

is :

A
a/b
B
–1
C
1
D
ab

Question 25Single Answer

Suppose a population A has 100 observations 101, 102, 103, ...., 200 and another population B has 100 observations 151, 152, 153, ....., 250. If V_A and V_B represents the variance of the two populations respectively, then V_A/ V_B =

A
9/4
B
1
C
4/9
D
2/3

Question 26Single Answer

If there are two groups with 75 and 65 as harmonic means and containing 15 and 13 observations then the combined H.M. is given by :

A
70
B
80
C
70.35
D
69.48

Question 27Single Answer

The G.M. of 4, 6 and 8 is

A
4.17
B
5.32
C
6.14
D
5.77

Question 28Single Answer

The Mean and S.D. for group of 100 observations are 65 and 7.03 respectively. If 60 of these observations have mean and S.D. as 70 and 3 respectively, what is the S.D. for the group comprising 40 observations ?

A
2.03
B
4.03
C
8.03
D
9.33

Question 29Single Answer

The Quartile deviation for the date is
x : 2 3 4 5 6
y : 3 4 8 4 1

A
1/4
B
1/2
C
1
D
0

Question 30Single Answer

If X and Y are two random variables then v(x + y) is

A
v(x) + v(y)
B
v(x) + v(y) – 2v(x, y)
C
v(x) + v(y) + 2v(x, y)
D
v(x) – v(y)

Question 31Single Answer

G.M is a better measure than others when,

A
ratios and percentages are given
B
interval of scale is given
C
Both (a) and (b)
D
Either (a) or (b)

Question 32Single Answer

Mean and S.D. of x is 50 and 5 respectively. Find mean and S.D. of

A
(1, 0)
B
(0, 1)
C
(1, 1)
D
(0, –1)

Question 33Single Answer

Mean and S.D. of a given set of observations is 1,500 and 400 respectively. If there is an increment of 100 in the first year and each observation is hiked by 20% in 2nd years, then find new mean and S.D.

A
1920, 480
B
1920, 580
C
1600, 480
D
1600, 400

Question 34Single Answer

If 5 is subtracted from each observation of some certain item then its coefficient of variation is 10% and if 5 is added to each item then its, coefficient of variation is 6%. Find original coefficient of variation

A
8 %
B
7.5 %
C
4 %
D
None of these

Question 35Single Answer

The median of x,

is 10. Find x where x > 0 .

A
24
B
32
C
8
D
16

Question 36Single Answer

The average salary of 50 men was Rs. 80 but it was found that salary of 2 of them were Rs. 46 and Rs. 28 which was wrongly taken as Rs. 64 and Rs. 82. The revised average salary is :

A
Rs. 80
B
Rs. 78.56
C
Rs. 85.26
D
Rs. 82.92

Question 37Single Answer

Inter Quartile Range is _____ of Quartile Deviation .

A
Half
B
Double
C
Triple
D
Equal

Question 38Single Answer

The sum of squares of deviation from mean of 10 observations is 250. Mean of the data is 10. Find the coefficient of variation .

A
10 %
B
25 %
C
50 %
D
0 %

Question 39Single Answer

If A be the A.M. of two positive unequal quantities X and Y and G be their G.M., then ;

A
A < G
B
A > G
C
A < G
D
A > G

Question 40Single Answer

When mean is 3.57 and mode is 2.13 then the value of median is

A
3.09
B
5.01
C
4.01
D
None of these

Question 41Single Answer

If L₁ = highest observation and L₂ = smallest observation, then Coefficient of Range =

Question 42Single Answer

The equation of a line is 5x + 2y = 17, Mean deviation of y about mean is 5. Calculate mean deviation of x about mean .

A
–2
B
2
C
–4
D
None

Question 43Single Answer

If variance of x is 5, then find the variance of (2 – 3x)

A
10
B
15
C
5
D
– 13

Question 44Single Answer

The harmonic mean of 1, 1/2, 1/3 ... 1/n is

A
1 / (n + 1)
B
2 / (n + 1)
C
(n + 1) / 2
D
1 / (n – 1)

Question 45Single Answer

The mean weight of 15 students is 110 kg. The mean weight of 5 of them is 100 kg. and of another five students is 125 kg. then the mean weight of the remaining students is

A
120
B
105
C
115
D
None of these

Question 46Single Answer

In a class of 11 students, 3 students were failed in a test. 8 students who passed secured 10, 11, 20, 15, 12, 14, 26 and 24 marks respectively. What will be the median marks of the students

A
12
B
15
C
13
D
13.5

Question 47Single Answer

The variance of data : 3, 4, 5, 8 is

A
4.5
B
3.5
C
5.5
D
6.5

Question 48Single Answer

A lady travel at a speed of 20 km/h and returned at quicker speed. If her average speed of the whole journey is 24 km/h, find the speed of return journey (in km/h)

A
25
B
30
C
35
D
38

Question 49Single Answer

Let the mean of the variable 'x' be 50, then the mean of u = 10 + 5x will be

A
250
B
260
C
265
D
273

Question 50Single Answer

Given the observations 4, 9, 11, 14, 37. The Mean deviation about the Median is

A
11
B
8.5
C
7.6
D
7.45

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Statistics

Question 51Single Answer

β₁ represents

A
Skewness
B
Kurtosis
C
Dispersionsx
D
All of the above

Question 52Single Answer

β₂ represents

A
Skewness
B
Kurtosis
C
Dispersions
D
All of the above

Question 53Single Answer

γ₁is =

A
β₂
B
β₁
C
D

Question 54Single Answer

γ₂ is =

A
β₂ – 3
B
β₂ + 3
C
both
D
none

Question 55Single Answer

β coefficients are suggested by

A
Karl Pearson
B
R.A. Fisher
C
Bowle
D
Kellis

Question 56Single Answer

γ coefficients are suggested by

A
Karl Pearson
B
R.A. Fisher
C
Bowle
D
Kellis

Question 57Single Answer

The curve is bell shaped or symmetric then skewness value is

A
zero
B
one
C
any positive value
D
any negative value

Question 58Single Answer

If β₂ = 3 then the Kurtesis is

A
Leptokurtic
B
Platykurtic
C
Mesokurtic
D
Any of the above

Question 59Single Answer

If β₂ < 3 then the Kurtesis is

A
Leptokurtic
B
Platykurtic
C
Mesokurtic
D
Any of the above

Question 60Single Answer

If β₂> 3 then the Kurtesis is

A
Leptokurtic
B
Platykurtic
C
Mesokurtic
D
Any of the above

Question 61Single Answer

If γ₂ = 0 then the Kurtesis is

A
Leptokurtic
B
Platykurtic
C
Mesokurtic
D
Any of the above

Question 62Single Answer

If γ₂ < 0 then the Kurtesis is

A
Leptokurtic
B
Platykurtic
C
Mesokurtic
D
Any of the above

Question 63Single Answer

The limits of the Karl Pearson Coefficient of Skewness .......

A
–1 to +1
B
–2 to +2
C
–3 to +3
D
–4 to +4

Question 64Single Answer

The limits of the Bowle's Coefficient of Skewness ........

A
–1 to +1
B
–2 to +2
C
–3 to +3
D
–4 to +4

Question 65Single Answer

For a positive skewed frequency curve, the inequality that holds is ?

A
Q₁ + Q₃> 2Q₂
B
Q₁ + Q₂ > 2Q₃
C
Q₁ + Q₃ > 2Q₃
D
Q₃ + Q₁ > 2Q₂

Question 66Single Answer

For a negatively skewed frequency distribution curve, the third central moment,

A
µ₃ > 0
B
µ₃ < 0
C
µ₃ = 0
D
µ₃ does not exist

Question 67Single Answer

For a symmetrical distribution, the coefficient of skewness ?

A
α₃ = 1
B
α₃ = 3
C
α₃ = 0
D
α₃ = –1

Question 68Single Answer

For a leptokurtic frequency curve, the measure of Kurtosis ?

A
α₄ = 0
B
α₄= – 3
C
α₄ < 1
D
α₄ > 3

Question 69Single Answer

In case of positive skewed distribution, the extreme values lie in the ?

A
left tail
B
right tail
C
middle
D
anywhere

Question 70Single Answer

The extreme values in a negatively skewed distribution lie in the ?

A
middle
B
right tail
C
left tail
D
whole curve

Planning

Question 71Single Answer

What is the primary definition of planning in management?

A
Setting objectives and determining how to achieve them
B
Evaluating past performance
C
Monitoring and controlling operations
D
Organizing resources

Question 72Single Answer

Planning is important because it:

A
Reduces the need for decision-making
B
Eliminates uncertainty and ambiguity
C
Increases spontaneity
D
Guarantees success

Question 73Single Answer

Which of the following is a key objective of planning?

A
To avoid financial expenditure
B
To create a rigid organizational structure
C
To optimize resource utilization
D
To enhance employee dissatisfaction

Question 74Single Answer

The process of planning involves which of the following steps?

A
Setting goals, analyzing alternatives, and implementing plans
B
Establishing authority, delegating tasks, and controlling resources
C
Communicating decisions, monitoring outcomes, and conducting evaluations
D
None of the above

Question 75Single Answer

Which of the following best describes strategic planning?

A
Short-term, focused on daily operations
B
Long-term, focused on overall direction
C
Tactical, focused on specific objectives
D
Operational, focused on efficiency

Question 76Single Answer

What is the role of planning in decision-making?

A
It limits the options available to managers
B
It provides a framework for evaluating choices
C
It eliminates the need for decisions
D
It encourages impulsive decision-making

Question 77Single Answer

Which type of planning is concerned with day-to-day operations?

A
Strategic planning
B
Tactical planning
C
Operational planning
D
Contingency planning

Question 78Single Answer

What is a contingency plan?

A
A backup plan for unforeseen circumstances
B
A plan that is strictly followed without changes
C
A plan that includes all possible scenarios
D
A plan focused on cost reduction

Question 79Single Answer

The importance of planning can be summarized as:

A
Planning is optional for successful organizations
B
Planning leads to a better understanding of the future
C
Planning increases the time taken for decision-making
D
Planning is mainly focused on resource allocation

Question 80Single Answer

Which of the following is NOT a characteristic of effective planning?

A
Flexibility
B
Clarity
C
Rigidity
D
Timeliness

Question 81Single Answer

The planning function in management is typically carried out by:

A
Top-level management
B
Middle-level management
C
Lower-level management
D
All levels of management

Question 82Single Answer

Which of the following is a primary objective of planning?

A
To make the organization less dynamic
B
To provide direction and purpose
C
To eliminate all risks
D
To reduce collaboration

Question 83Single Answer

How does planning help in the allocation of resources?

A
It ignores the availability of resources
B
It ensures resources are wasted
C
It promotes efficient use of resources
D
It restricts resource distribution

Question 84Single Answer

What is one of the major benefits of planning in an organization?

A
It increases operational chaos
B
It promotes management inertia
C
It encourages proactive management
D
It focuses solely on historical data

Question 85Single Answer

Which of the following is a disadvantage of planning?

A
Increases efficiency
B
Involves time consumption
C
Provides direction
D
Enhances control

Question 86Single Answer

Which of the following types of planning is conducted to meet the long-term goals of an organization?

A
Operational planning
B
Tactical planning
C
Strategic planning
D
Short-term planning

Question 87Single Answer

What does "SMART" criteria stand for in planning objectives?

A
Simple, Measurable, Achievable, Realistic, Time-bound
B
Specific, Measurable, Achievable, Relevant, Time-bound
C
Secure, Measurable, Accurate, Relevant, Timely
D
Specific, Manageable, Achievable, Resourceful, Time-bound

Question 88Single Answer

In the context of planning, what does "forecasting" refer to?

A
Reviewing past performance
B
Predicting future conditions
C
Setting rigid objectives
D
Developing contingency plans

Question 89Single Answer

Which of the following is an example of tactical planning?

A
Expanding into international markets
B
Developing a new marketing strategy for the next quarter
C
Revising the company mission statement
D
Conducting a SWOT analysis

Question 90Single Answer

The objective of planning includes:

A
Reducing coordination among departments
B
Increasing uncertainty in decision-making
C
Aligning resources with goals
D
Limiting employee creativity

Computer

Question 91Single Answer

Which Windows interface element typically appears to display information, a warning, an error message, or a request for confirmation?

A
Window
B
Pop-up menu
C
Message box
D
Taskbar

Question 92Single Answer

What is active desktop ?

A
a term that is synonymous with viewing your desktop as web page
B
a feature to customize your desktop to display informating you can update from the internet
C
both a and b above mentioned
D
A software
E
None of these

Question 93Single Answer

What is meant by an active window?

A
A window that is minimized
B
The window currently receiving user input
C
Any window currently open
D
The window opened first

Question 94Single Answer

What was America Online (AOL) primarily known for during the early popularization of consumer Internet access?

A
An online service providing Internet access and proprietary online content
B
A computer operating system
C
A spreadsheet application
D
A database management system

Question 95Single Answer

An application is

A
word processing, accounting and engineering programs are example of application programs
B
computer program designed to enable users to perform specific job functions
C
Both a and b above mentioned
D
a document
E
None of these

Question 96Single Answer

Which of the following programs enables you to calculate numbers related to rows and columns?

A
Window program
B
Spreadsheet program
C
Graphics program
D
Word program
E
None of these

Question 97Single Answer

The term Briefcase is used for

A
a special folder on the windows desktop used to keep documents up to date when shared between computers
B
a window that us currently open
C
A folder which keeps deleted, files for a while and can be retrieved from it
D
All of the above
E
None of these

Question 98Single Answer

In a graphical user interface, what is a button primarily used for?

A
Executing a command or initiating an action
B
Permanently storing data
C
Displaying the computer's IP address
D
Formatting a disk automatically

Question 99Single Answer

A channel (in windows terminology) is

A
a widely used online service that offers access to the internet
B
a specialized web site designed to work with the windows 98 subscribing feature to automatically download information from the internet and store it on your computer for later viewing
C
an area on the computer memory where text or graphics can be temporarily stored
D
All of the above
E
None of these

Question 100Single Answer

What does a checked checkbox generally indicate in a graphical user interface?

A
The associated option is enabled or selected
B
The application has closed
C
The file has been deleted
D
The computer is offline

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Latest RPSC Research Assistant Exam Question (Objective Questions), MCQ in English

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