Andaman Nicobar Group C 2023: Directorate of Economics & Statistics and Directorate of Animal Husbandry & Veterinary Services, Junior Investigator, CBT, Paper 2

1.
Find the mode and median of the 9 consecu ve number
12,7,8,14,21,23,27,7,11

(A)
12,9
(B)
7,9
(C)
7,12
(D)
11,9
Answer: “7,12”

2.
When the Mean of a number is 18, what is the Mean of the sampling
distribu on?

(A)
21
(B)
18
(C)
27
(D)
23
Answer: “18”

3.
If the probability of hi ng an object is 0.8, find the variance

(A)
0.18
(B)
0.16
(C)
0.14
(D)
0.12
Answer: “0.16”

4.
Find the variance of the given data set: 3,9,5,6,7

(A)
1
(B)
2
(C)
3
(D)
4
Answer: “4”

5.
Find the mean, mode and median of the given sets of data: 5,8,12,17,12,14,6,8,
12, and 10

(A)
11,12,10
(B)
10,12,13
(C)
11,12,13
(D)
10,12,11
Answer: “10,12,11”

6.
Find the mean mode and median of the messages received on 7 consecu ve
days 7,13,5,9,6,5,10

(A)
7,8,9
(B)
8,9,9
(C)
8,8,9
(D)
6,8,9

Answer: “8,9,9”

7.
Which of the following measures of central tendency is affected by extreme
values in the data set?

(A)
Mean
(B)
Median
(C)
Mode
(D)
Range
Answer: “Mean”

8.
The interquar le range (IQR) is a measure of:

(A)
Variability
(B)
Central tendency
(C)
Skewness
(D)
Spread of data
Answer: “Spread of data”

9.
Mode is the value of x where f(x) is a maximum if X is con nuous.

(A)
TRUE
(B)
FALSE
(C)
True and False
(D)
none

Answer: “TRUE”

10.
E (XY)=E (X)E (Y) if x and y are independent.

(A)
TRUE
(B)
FALSE
(C)
TRUE AND FALSE
(D)
none
Answer: “TRUE”

11.
The random variables X and Y have variances 0.2 and 0.5 respec vely.Let Z= 5X-
2Y. The variance of Z is?

(A)
3
(B)
4
(C)
5
(D)
7
Answer: “7”

12.
In a dice roll, what is the probability of ge ng an even number?

(A)
44958
(B)
44986
(C)
45078
(D)
44987

Answer: “45078”

13.
The number of students present in a classroom is an example of a:

(A)
Con nuous random variable
(B)
Discrete random variable
(C)
Determinis c variable
(D)
Constant variable
Answer: “Discrete random variable”

14.
The probability distribu on func on (PDF) gives the probability of a random
variable:

(A)
Taking on a specific value
(B)
Being greater than a specific value
(C)
Being less than or equal to a specific value
(D)
Falling within a specific range
Answer: “Taking on a specific value”

15.
The kurtosis of a random variable measures its:

(A)
Symmetry
(B)
Dispersion
(C)
Skewness
(D)
Shape of the distribu on

Answer: “Shape of the distribu on”

16.
Which of the following is true about a leptokur c distribu on?

(A)
It has a high peak and heavy tails
(B)
It has a low peak and light tails
(C)
It has a symmetric distribu on
(D)
It has a mean of zero
Answer: “It has a high peak and heavy tails”

17.
Which of the following is an example of compressed data:

(A)
Histogram
(B)
Ungrouped data
(C)
Frequency distribu on
(D)
Tabula on
Answer: “Frequency distribu on”

18.
Which of the following represents the number of mes an observa on occurs
in a data set?

(A)
Frequency
(B)
Mean
(C)
Median
(D)
Mode

Answer: “Frequency”

19.
A frequency distribu on is used to:

(A)
Represent data in a tabular form
(B)
Calculate the mean of a data set
(C)
Find the range of a data set
(D)
Determine the standard devia on of a data set
Answer: “Represent data in a tabular form”

20.
In a cumula ve frequency distribu on, each entry represents:

(A)
The sum of the frequencies up to that class
(B)
The mean of the data in that class
(C)
The median of the data in that class
(D)
The mode of the data in that class
Answer: “The sum of the frequencies up to that class”

21.
The cumula ve frequency curve is obtained by plo ng the cumula ve
frequencies against the:

(A)
Lower boundaries of the classes
(B)
Upper boundaries of the classes
(C)
Midpoints of the classes
(D)
Rela ve frequencies of the classes

Answer: “Upper boundaries of the classes”

22.
The frequency curve is obtained by smoothing the:

(A)
Histogram
(B)
Frequency polygon
(C)
Bar diagram
(D)
Line diagram
Answer: “Frequency polygon”

23.
The cumula ve frequency curve is a graphical representa on of the:

(A)
Cumula ve frequency distribu on
(B)
Frequency distribu on of ungrouped data
(C)
Rela ve frequency distribu on of grouped data
(D)
Median of the data set
Answer: “Cumula ve frequency distribu on”

24.
The point where the cumula ve frequency curve ends is equal to the:

(A)
Sum of all frequencies in the data set
(B)
Mean of the data set
(C)
Median of the data set
(D)
Mode of the data set
Answer: “Sum of all frequencies in the data set”

25.
Which of the following is not a disadvantage of using mean?

(A)
It is affected by extreme values
(B)
It cannot be computed in grouped data with open-ended class intervals
(C)
It does not possess the desired algebraic property
(D)
None of these
Answer: “It does not possess the desired algebraic property”

26.
The two methods of finding mode in a discrete series are _______.

(A)
Grouping method and ascending method
(B)
Table method and midpoint method
(C)
Grouping method and inspec ng method
(D)
Grouping and not inspec ng method
Answer: “Grouping method and inspec ng method”

27.
When the values in a series do not have equal importance, we calculate the
_______.

(A)
Mode
(B)
Weighted mean
(C)
Arithme c mean
(D)
Calcula ng arithme c mode
Answer: “Weighted mean”

28.
Which one of the following statements best describes the mode measure?

(A)
It gives us the most common score in a data set, which will change if you
rearrange the scores in any order.
(B)
It gives us the most common score in a data set, which will not change if you
rearrange the scores in any order.
(C)
It is always greater than or equal to the mean of a data set.
(D)
None of these
Answer: “It is always greater than or equal to the mean of a data set”

29.
Which one of the following statements best describes the range measure?

(A)
It gives us the highest and lowest scores in a data set.
(B)
It gives us the lowest and highest scores in a data set.
(C)
It is always greater than or equal to the mean of a data set.
(D)
cant say
Answer: “It gives us the lowest and highest scores in a data set”

30.
The mean is calculated by:

(A)
Adding all the values and dividing by the number of values
(B)
Finding the middle value of the data set
(C)
Coun ng the number of mes each value occurs in the data set
(D)
Subtrac ng the smallest value from the largest value

Answer: “Adding all the values and dividing by the number of values”

31.
Which of the following measures is most affected by extreme values in a data
set?

(A)
Mean
(B)
Median
(C)
Mode
(D)
Range
Answer: “Mean”

32.
The mode is the value that:

(A)
Appears most frequently in the data set
(B)
Divides the data set into two equal halves
(C)
Represents the middle value in the data set
(D)
Is the difference between the largest and smallest values
Answer: “Appears most frequently in the data set”

33.
"Regression analysis was applied to return rates of sparrowhawk colonies.
Regression analysis was used to study the rela onship between return rate (x:
% of birds that return to the colony in a given year) and immigra on rate (y: %
of new adults that join the colony per year).
The following regression equa on was obtained.
! = 31.9 – 0.34x Based on the above es mated regression equa on, if the
return rate were to decrease by 10% the rate of immigra on to the colony
would:"

(A)

increase by 34%
(B)
increase by 3.4%
(C)
decrease by 0.34%
(D)
decrease by 3.4%
Answer: “increase by 3.4%”

34.
"In least squares regression, which of the following is not a required
assump on about the error term ε?"

(A)
The expected value of the error term is one.
(B)
The variance of the error term is the same for all values of x.
(C)
The values of the error term are independent.
(D)
The error term is normally distributed
Answer: “The expected value of the error term is one”

35.
Larger values of r 2 (R2) imply that the observa ons are more closely grouped
about the

(A)
average value of the independent variables
(B)
average value of the dependent variable
(C)
least squares line
(D)
origin
Answer: “least squares line”

36.
If the coefficient of determina on is 0.81, the correla on coefficient
(A)

is 0.6561
(B)
could be either + 0.9 or - 0.9
(C)
must be posi ve
(D)
must be nega ve
Answer: “could be either + 0.9 or - 0.9”

37.
"Regression analysis was applied between $ sales (y) and $ adver sing (x)
across all the branches of a major interna onal corpora on. The following
regression func on was obtained
! = 5000 + 7.25x If the adver sing budgets of two branches of the corpora on
differ by $30,000, then what will be the predicted difference in their sales?"

(A)
$217,500
(B)
$222,500
(C)
$5000
(D)
$7.25
Answer: “$217,500”

38.
If the values of two variables move in the opposite direc on, ___________

(A)
The correla on is said to be linear
(B)
The correla on is said to be non-linear
(C)
The correla on is said to be posi ve
(D)
The correla on is said to be nega ve
Answer: “The correla on is said to be nega ve”

39.

Which of the following statements is true about the arithme c mean of two
regression coefficients?

(A)
It is less than the correla on coefficient
(B)
It is equal to the correla on coefficient
(C)
It is greater than or equal to the correla on coefficient
(D)
It is greater than the correla on coefficient
Answer: “It is greater than the correla on coefficient”

40.
How many AR and MA terms should be included for the me series by looking
at the above ACF and PACF plots?

(A)
AR (1) MA(0)
(B)
AR(0)MA(1)
(C)
AR(2)MA(1)
(D)
AR(1)MA(2)
Answer: “AR(0)MA(1)”

41.
Consider the following AR(1) model with the disturbances having zero mean
and unit variance. yt = 0.4 + 0.2yt-1 + ut. The (uncondi onal) variance of y will
be given by ?

(A)
1.5
(B)
1.04
(C)
0.5
(D)
2

Answer: “1.04”

42.
Second differencing in me series can help to eliminate which trend?

(A)
Quadra c Trend
(B)
Linear Trend
(C)
All
(D)
None
Answer: “Quadra c Trend”
43.
BIC penalizes complex models more strongly than the AI

(A)
TRUE
(B)
FALSE
(C)
Maybe
(D)
None
Answer: “TRUE”

44.
In a me-series forecas ng problem, if the seasonal indices for quarters 1, 2,
and 3 are 0.80, 0.90, and 0.95 respec vely. What can you say about the
seasonal index of quarter 4?

(A)
It will be less than 1
(B)
It will be greater than 1
(C)
It will be equal to 1
(D)
Seasonality does not exist

Answer: “It will be greater than 1”

45.
A ___________ is a sequence of observa ons over a certain perio(D)

(A)
Theano
(B)
Scikit
(C)
Time series
(D)
Tensor
Answer: “Time series”

46.
A me series has ______ components.

(A)
1
(B)
2
(C)
3
(D)
4
Answer: “4”

47.
Which of the following is the square root of the mean square error?

(A)
AMSQ
(B)
RMSE
(C)
AMSE
(D)
RMES
Answer: “RMSE”

48.
Mean Absolute Error is the average of absolute difference between?

(A)
normal values and true values
(B)
predicted values and imaginary values
(C)
predicted values and true values
(D)
imaginary values and true values
Answer: “predicted values and true values”

49.
Noise is the error in the observa ons added due to environmental factors.

(A)
Yes
(B)
No
(C)
Can be yes or no
(D)
Cannot say
Answer: “Yes”



50.

Company A produces 10% defec ve products, Company B produces 20%
defec ve products, and Company C produces 5% defec ve products. If
choosing a company is an equally likely event, then find the probability that the
product chosen is defec ve.

(A)
0.11
(B)
0.21

(C)
0.22
(D)
0.12
Answer: “0.12”

51.
A problem in mathema cs is given to three students A, B, and (C) If the
probability of A solving the problem is 1/2 and B not solving it is 1/4. The whole
probability of the problem being solved is 63/64. What is the probability of
solving it?

(A)
44958
(B)
45145
(C)
23377
(D)
45139
Answer: “45139”

52.
Which of the following is a table with all possible values of a random variable
and its corresponding probabili es?

(A)
Probability Density Func on
(B)
Probability Mass Func on
(C)
Probability Distribu on
(D)
Cumula ve distribu on func on
Answer: “Probability Distribu on”

53.
Find the Expecta on of a Hypergeometric Distribu on such that the probability
that a 4-trial hypergeometric experiment results in exactly 2 successes, when
the popula on consists of 16 items.

(A)
44986
(B)
45139
(C)
45017
(D)
44958
Answer: “44958”

54.
What is the probability of a sure event?

(A)
1
(B)
0
(C)
45017
(D)
44958
Answer: “1”

55.
If P(C) = 5/13, P(D) = 7/13, and P(C∩D) = 3/13, evaluate P(C|D).

(A)
45109
(B)
45049
(C)
45110
(D)
45108
Answer: “45110”

56.
Consider Jack draws 3 cards from a pack of 52 cards. What is the probability of
ge ng no kings?

(A)
0.8726
(B)
0.7862
(C)
0.8762
(D)
0.7826
Answer: “0.8762”

57.
Which of the following cannot be the value of probability?

(A)
44958
(B)
0
(C)
-1
(D)
1
Answer: “1”

58.
Which test is used to check the adequacy of an index number?

(A)
The me reversal test
(B)
The factor reversal test
(C)
The link rela ve test
(D)
The weighted average test
Answer: “The factor reversal test”

59.
What is base shi ing in index number construc on?

(A)
Adjus ng the base year to a more recent year
(B)
Changing the weigh ng scheme of the index
(C)
Combining two different index numbers
(D)
Adding a new component to the index
Answer: “Adjus ng the base year to a more recent year”

60.
What is splicing in index number construc on?

(A)
Combining two different index numbers at a specific point in me
(B)
Removing outliers from the data
(C)
Adjus ng the weights of the index components
(D)
Defla ng the index to account for infla on
Answer: “Combining two different index numbers at a specific point in me”

61.
Synonym of ANALOGY

(A)
Difference
(B)
Comparison
(C)
Addi on
(D)
 Dele on
Answer: “Comparison”

62.
Synonym of ALLURE

(A)

Extol
(B)
Excite
(C)
En ce
(D)
Elicit
Answer: “En ce”

63.
Synonym of VOCIFEROUS

(A)
violent
(B)
loud
(C)
Secret
(D)
true
Answer: “loud”

64.
Synonym of FICTIONAL

(A)
genuine
(B)
authen c
(C)
fanciful
(D)
real
Answer: “fanciful”

65.
Synonym of STUPEFY

(A)
lie

(B)
make dull
(C)
talk nonsense
(D)
overread
Answer: “make dull”

66.
Antonyms of BENEVOLENCE

(A)
contempt
(B)
malevolence
(C)
hatred
(D)
Derision
Answer: “malevolence”

67.
Antonyms of KNACK

(A)
dullness
(B)
balance
(C)
talent

(D)

dexterity
Answer: “dullness”

68.
Antonyms of CELIBATE

(A)

profligate
(B)
reprobate
(C)
extravagant
(D)
prodigal
Answer: “reprobate”

69.
Antonyms of DITHER

(A)
cry
(B)
refer
(C)
decide
(D)
defer
Answer: “decide”

70.
Choose the correct meaning of an idiom/ phrase - To talk through one’s hat :

(A)
To speak fluently
(B)
To talk nonsense
(C)
To talk wisdom
(D)
To speak at random
Answer: “To talk nonsense”

71.
Choose the correct meaning of an idiom/ phrase - To snap one’s fingers :

(A)
To speak abruptly

(B)
To accept immediately
(C)
To grasp eagerly
(D)
To become contemptuous of
Answer: “To become contemptuous of”

72.
Choose the correct spelling of the given word

(A)
Forefiet
(B)
Forefeit
(C)
Forfeit
(D)
Forfiet
Answer: “Forfeit”

73.
Choose the correct spelling of the given word

(A)
Comemorate
(B)
Commemmorate
(C)
Momemmorate
(D)
Commemorate
Answer: “Commemorate”

74.
Choose the correct alterna ve form - If you are really not feeling well. you
.......... a doctor.

(A)
should be er see

(B)
may Sec
(C)
had be er see
(D)
would rather see
Answer: “had be er see”

75.
Choose the correct alterna ve form - If only I.......... his address, I would most
certainly have told you.

(A)
know
(B)
knew
(C)
had known
(D)
off
Answer: “had known”

It is sad that in country a er country, progress should
become synonymous with an assault on nature. We who are a
part of nature and dependent on her for every need, speak
constantly about 'exploi ng' nature. When the highest mountain
in the world was climbed in 1953, Jawaharlal Nehru objected to
the phrase conquest of Everest' which he thought was arrogant.
Is it surprising that this lack of considera on and the constant
need to prove one's superiority should be projected on to our
treatment of our fellowmen? I remember Edward Thompson, a
Bri sh writer and a good friend of India, once telling Mr. Gandhi
that wildlife was fast disappearing. Remarked Mr. Gandhi: ‘It is
decreasing in the jungles but it is increasing in the towns’
On the one hand the rich look askance at our con nuing
poverty; on the other they warn us against their own methods.
We do not wish to impoverish the environment any further and
yet we cannot forget the grim poverty of large numbers of people.
Are not poverty and need the great polluters? For instance, unless
we are in a posi on to provide employment and purchasing power

for the daily necessi es of the tribal people and those who live in
and around our jungles, we cannot prevent them from combing
the forest for food and livelihood, from poaching and from
despoiling the vegeta on.

76.

At the beginning of the passage, the writer expresses her opinion
that in many countries progress is synonymous with

(A)
development.
(B)
utmost care for nature.
(C)
a balanced treatment of nature.
(D)
utmost cruelty to nature.
Answer: “utmost care for nature”

77.
In the passage the term 'exploi ng' nature suggests

(A)
regre ul Ness.
(B)
sarcasm.
(C)
destruc ve urge of man.
(D)
greed of man.
Answer: “sarcasm”

78.
Nehru objected to the phrase 'conquest of Everest' since

(A)
it carries a war-like connota on.
(B)
it sounds pompous and boas ul.

(C)
it depicts Everest as a vic m.
(D)
Everest is unconquerable.
Answer: “it sounds pompous and boas ul”

79.
Gandhi's statement 'It is decreasing in the jungles but it is
increasing in the towns.!'

(A)
Refers to wild animals' decrease in the jungle.
(B)
Refers to flora and fauna
(C)
Refers to man's selfishness.
(D)
Is a sa rical comparison of man's callousness to the animals.
Answer: “Refers to man's selfishness”

80.
The writer is of opinion that tribal people can be prevented from combing
forest for food

(A)
to provide employment
(B)
to increase purchasing power
(C)
by deterring them from poaching and despoiling vegeta on
(D)
to provide employment and purchasing power for daily necessi es
Answer: “to provide employment and purchasing power for daily necessi es”

81.
The principal copper deposits of India lie in which of the following places?

(A)
Hazaribagh and Singbhum of Bihar
(B)

Khetri and Daribo areas of Rajasthan
(C)
Anantapur in Andhra Pradesh
(D)
Siwaliks in U ar Pradesh and in Karnataka
Answer: “Hazaribagh and Singbhum of Bihar”

82.
Which of the following are true regarding Jhum cul va on in India?
I.It is largely prac ced in Assam
II.It is referred to as 'slash and burn' technique
III.In it, the fer lity is exhausted in a few years

(A)
I, II and III
(B)
II and III
(C)
I and II
(D)
I and III
Answer: “I, II and III”
83.
The Yarlung Zangbo River, in India, is known as

(A)
Ganga
(B)
Indus
(C)
Brahmaputra
(D)
Mahanadi
Answer: “Brahmaputra”

84.
The Salal Project is on the river

(A)
Chenab

(B)
Jhelum
(C)
Ravi
(D)
Sutlej
Answer: “Chenab”

85.
The only zone in the country that produces gold is also rich in iron is

(A)
North-eastern zone
(B)
North-western zone
(C)
Southern zone
(D)
South-eastern zone
Answer: “Southern zone”

86.
Which one Bank is not one of the three Banks that will be merged to form the
third largest Bank in India?

(A)
Punjab Na onal Bank
(B)
Bank of Baroda
(C)
Indian Bank
(D)
Dena Bank
Answer: “Indian Bank”

87.
The 2019 Pravasi Bhar ya Divas will be held on which city

(A)
Varanasi

(B)
New Delhi
(C)
Ahmedabad
(D)
Surat
Answer: “Varanasi”

88.
What is the name of the India’s longest suspension bridge built in Leh by Indian
Army?

(A)
Gagan Bridge
(B)
Maitri Bridge
(C)
Mahatma Bridge
(D)
Sardar Bridge
Answer: “Maitri Bridge”

89.
Which country launched the world’s first na on wise 5G mobile network?

(A)
Japan
(B)
Malaysia
(C)
South Korea
(D)
China
Answer: “South Korea”

90.
Which famous singer is awarded with Bharat Ratna award in the year 2019?

(A)
Manna Dey

(B)
Bhupen Hazarika
(C)
Asha Bhosle
(D)
Lata Mangeshkar
Answer: “Bhupen Hazarika”

91.
What comes next? January,February,April,July,November,April,?????

(A)
December
(B)
March
(C)
October
(D)
February
Answer: “October”

92.
In the following ques ons, a series is given with one term missing. Choose the
correct alterna ve from the given ones that will complete the series.
AGMSY,CIOUA,EKQWC,?,IOUAG,KQWCI

(A)
GMSYE
(B)
FMSYE
(C)
GNSYD
(D)
FMYES
Answer: “GMSYE”

93.
Select the related word/le ers/numbers from the given alterna ves:
4 : 20 : : 8 : ?

(A)
74
(B)
70
(C)
72
(D)
78
Answer: “72”

94.
M is son of P, Q is the grand-daughter of O, who is the husband of P. How is M
related to O?

(A)
Son
(B)
Daughter
(C)
Mother
(D)
Father
Answer: “Son”

95.
If “A” means “subtrac on”, “B” means “division”, “C” means “addi on” and “D”
means “mul plica on”, then 305 B 5 A 28 C 43 D 12 = ___________

(A)
569
(B)
549
(C)
560
(D)
530
Answer: “549”

96.
Select the related word/number from the given alterna ves:

CLOSE : DNRWJ : : OPEN : __________

(A)
PRHR
(B)
PRJQ
(C)
RPJB
(D)
RZWR
Answer: “PRHR”

97.
Select the word which can be formed from the word IMMEDIATELY.

(A)
DIALECT
(B)
LIMITED
(C)
DIAMETER
(D)
DICTATE
Answer: “LIMITED”

98.
Introducing a girl, Ankit says, “She is the sister of the son of my mother’s
sister”. How is the girl related to Ankit?

(A)
Niece
(B)
Daughter
(C)
Sister
(D)
Cousin
Answer: “Cousin”

99.

It was Sunday on jan 2, 2006, what was the day of the week Jan 1, 2010 ?

(A)
Sunday
(B)
Thursday
(C)
Friday
(D)
Saturday
Answer: “Thursday”

100.
Neha walks 30m towards south, then turning to her right she walks 30m, then
turning to her le , she walks 20m, again she turns to her le and walks 30m.
How far is she from her ini al posi on?

(A)
20 mtr
(B)
30 mtr
(C)
50 mtr
(D)
60 mtr
Answer: “50 mtr”