160/2015
1. India's first computer was installed at Indian Statistical Institute, Kolkata in the year:
1950 1952 1956 1958
2. Who is the founder of "sankhya", the Indian Journal of Statistics?

CR. Rao R.C Bose


s.1:. Roy P.C Mahalanobis


3. Which ministry co-ordinates the census activities in India?
Home Affairs MosPI HRO Finance
4. Which of the following measures involve nominal scale?

The runs scored by a batsman The rank of a student in a test


The height of a tree The number on an automobile license plate


5. A random sample of 50 is picked without replacement from a population of 1000 adult males. If the standard deviation of the distribution of their heights is known to be 3 inches, then the standard error of the sample mean is
3


J50
6. Which of the following statements is true

Sample survey is free of non -sampling errors


Sampling error is present in both census and sample surveys


on -sampling error is comparatively low in sample surveys


Non -sampling error is comparatively low in census surveys


2x
7. Ifa continuous random variable X has a pdf of the form f 0 .r and 0 otherwise,
then the median of X is
32 32

23 J2 .J3
8. IfX and Yare independent random variables with respective moment generating functions 4t 8t 12t
thenthepossiblevalues of Z Yare

0,5,10,15


16, 36 ...., 15


A 3
IP.T.O.}
9. A couple has two children one of them is known to be a boy. What is the probability that they have two boys
1
1 1 3

2
3
Ix-21
10. The expected value of the random variable X having the 3
is
1 3 1
1
7 77
11. Which of the folJowing cannot be a moment generating function?
1 t


1-t2 1-t

12. Which of the following methods is are used for the computation of consumer price index numbers?

Aggregate expenditure method Family budget method


Chain base method Both and


13. Which ministry in India is responsible for compiling Wholesale Price Index?

Labour Commerce and Industry


MoSPI Finance


14. The salary of a person in the base year is 20,000 per month and in the current year 50,000. If the current Consumer Price Index is 325 then the allowance required to maintain the same standard of living is
30,000 35,000 15,000 None of these
15. Suppose a family spends on food, housing and clothing in the ratio 5 3 2. If there is a rise in prices of these heads by 40, 30 and 20 percent respectively, then the family budget for these items will be increased by
33% 30% 25% None of these
16. If the two lines of regression are x +2y and 2r 3y 0 then the correlation between x and is
J3 J3 3 3

2 2 44
160/2015 4 A
17.
Which of the following components may be ignored when a time series data is collected on an annual basis? Trend Seasonal Cyclical Irregular

18.
Crude birth rates are calculated by dividing the births during a year by Mid -year population for that year


End -year population for that year


Population at the beginning of the year


None of these



19.
The chart suitable to represent the data on blood donation of Band AB blood groups by the students in a college during the last four years is


pie chart histogram


multiple bar diagram cartogram



20.
The average marks of boys in a class is 65 and that of girls is 70. The average of both the groups combined is 67. Then the ratio of number of boys and girls is

1:3 2:3 3:1 3:2

21.
On fitting a bivariate linear regression model to a data set it is found that the variance of the dependent variable (based upon a division of is 8.5 and the residual sum of squares is 17. Then the coefficient of determination of the fitted model is

0.80 0.20 0.50 025

22.
Which average is suitable for finding the average of proportions?


Arithmetic mean . Median


Mode Geometric mean



23.
Which of the following statements is false if multicollinearity is present?


There occurs several models which include different sets of explanatory variables consonant with the data.


There can be no clear cut interpretation of the regression coefficients as measures of marginal effects.


The regression coefficients may be unstable


The OLS estimates of regression coefficients are no longer unbiased.



24.
If Q3 are the quartiles, then which of the following holds for a positively skewed data?

Q3-Q1 Q2 Q1+Q2 2Q3 Q1+ Q3 Q2 Q1+ Q3 2Q2

25.
The null hypothesis of Durbin -Watson test for auto correlation is


random component of the regression model is independently and normally distributed


random component of the regression model is dependent and normally distributed


tllere is one period dependence between successive values of the random component


one of tllese



26.
The arithmetic mean of a set of distinct number is 10. If each number is squared, then the mean of the squares of the number is

Greater than 100 Less than 100 100 Any of these

27.
For any two events A and p(AnBC) is equal to



28.
If =0.9 and =0.8 then which of the following is true?


PtEn 0.70 P(E n 0.70


PtEn 0.80 0.80 P(E n 0.90



29.
If x is an observed value of a random variable X IF the x divides the interval into two subintervals. What is the probability that the ratio of lengths of the shorter to


A 5 160/20J5 {P.T.O·I
longer subinterval is less than
121 1

55 24
30. If the standard deviation of a normal distribution is 4 then the fourth central moment of tile distribution is
48 768 256 192
31. The value of the objective function at an optimal solution of the LPP min Xl +x2 subject to Xl -x2 Xl x2 0 will be
10 5 0
32. If a population has normal distribution with variance 225, then how large a sample must be drawn in order to be 95 per cent confident that the sample mean will not differ from the population mean by more than 2 units. Zm5 1.96).
152 216 305 92
33. Of 100 people who were given a vaccine, 80 developed immunity to a disease. Then a 98 per cent confidence interval on the true proportion of people developing immunity is ZOl 2.33).
(0.763, 0.837) (0.791, 0.809) (0.707, 0.893) None of these
34. Which of the following statements is true for applying usual Student's t test for testing equality of means of two independent populations?

The two populations are independent and normally distributed with equal unknown variances.


The two populations are independent and normally distributed with known variances.


The two populations are independent and normally distributed with unknown and unequal variances.


The two independent populations have equal unknown variances but their distributions need not to normal.


160/2015 6 A
35. The random variable and Z have the means fl. fl.=7, the
x y
and the covariances cov(X, cov(X,
cov(Y, If U=X-3Y+2Z and V=3X-Y-2Z the cov(U, is:
10 -10 20 -20
36. If we use the statistic +2X2+3X3) forestimatingtheparameter8ofaBernoulli
6
population then T is

unbiased and sufficient unbiased and consistent


unbiased only sufficient only


37. If X is a non -negative random variable having mean fl., distribution function and finite second moment then which of the following is false?
E(X2
o.
1

38. Which of the following statements is false?

If a distribution is symmetric about zero if, and only if, its characteristic function is real and even.


If is a characteristic function, then and 2 are also characteristic functions.


A characteristic function defined on 1ll is non -negative definite and continuous with 1


one of these


39. From the following price index information, what is the percentage change in prices between 2010 and 2013

Year 2010 2011 2012 2013
Index 1 100 115 125
Index 2 100 120

35 00 30.4% 500
40. If ex and 13 respectively denote probabilities of type and type errors in testing of hypotheses then which of the following statements is false?

If ex=l then 13=0 If ex=O then 13=1


ex 13=1 If ex increases 13 decreases


41. Who played the pioneering role in the development of 'ational Income Accounting?
Alfred Marshall Simon Kuznets Joan Robinson John Nash
A 7 160/2015 {P.T.O.}
42. What is the growth rate of Per Capita State Domestic Product in Kerala from 2000 -2001 to 2010 -2011 per year)
6.3 8.2 10.1 7.0
43. Who provided a detailed set of suggestions for a three -tier system of local government in India?

Balwantrai Mehta Committee Bardhan and Mookherjee


Aiyar Chattopadhyay and Duflo


44. Identify the components of 'Debt -Dynamic Wedge' for making a decline in Debt -GDP ratio.

CPI inflation


Fiscal deficit and revenue deficit


Real rate of econoll),ic growth, real cost of borrowing and primary deficit


Real rate of interest, GDP and NNPMP


1
45. The growth rate 9f real agricultural wages in the post -reform period (1993 -94 to 1999 -2000) was
1.3% 5.1% 0.1% 3.7%
46. According to the poverty estimates, head count ratio in India during 2009 -10 was:
33.8 20.9 12.0 29.8
47. Identify the strategic factor necessary for inclusive growth:

Industrial expansion led by productivity growth.


Expansion of IT.


Effective governance.


Reduction of tax -GDP ratio


48. As per the Budget estimates of 2015 what is the fiscal deficit as a percentage of GDP targeted?
4.9% 3.9% 2.8% 1.1%
49. As per the DML (2013) report, the largest proportion of domestic migrant labour in Kerala hail from:
Bihar Orissa West Bengal Assam
50. The most dynamic element in the employment sector in Kerala during 1999 -2004 was:

Extraordinary decrease of the unemployed.


Increase in the proportion of employed in many sectors.


Increase in agricultural labourers.


Decline in the employment among women.


160/2015 8 A
51. The rate of growth of Per Capita NNP during 2004 -2005 to 2011 -2013 as per 1999 -2000 prices was:
1.4% 6.3% 3.2% 4.7%
52. Physical connectivity in the PURA model aims at

Grouping of 15 to 25 villages together and linking each other by road.


Linking villages with IT services.


Marketing facilities in villages.


Expansion of agricultural and allied activities.


53. The phenomenon of price rise due to multiplicity of taxes is called:
Hyper inflation Inflation Disinflation Cascading effect
54. The most important economic consequences of demographic transition in Kerala in the 21St century are:

Decline in the size of labour force and aging


Decline in fertility rate and increase in mortality rate


Increase in potential support ratio


None of the above


55. Under the new inflation targeting mechanism, Government of India has mandated RBI to bring down inflation by

Below 3.8% by December 2016 Below by January 2016


Below by December 2016 Below 5.3% by January 2016


56. As per the CSO estin1ates of 2014 Gross Domestic Savings in India as a percentage of GOP during 2011 -12 was:
33.68 30.5 31.35 36.82
57. Which of the following is included in the Child Labour (Prohibition and Regulation) Act of 1986

Work in the railways Work as domestic servants


Work in ports AU of the above


58. The principal objective of the MUDRA Bank is

Facilitating the expansion of selected big industrial units.


To bring stability to micro finance system.


Sustainable development in rural area.


Technological assistance to urban small scale Industrial units.


59. According to 2004 -2005 prices, the growth of service sector during the first year of the Twelfth plan (2012 was:
6.96% 9.67% 1027% 6.78%
A 9 160/2015 IP.T.a.}
60. Self· Employment and Talent Utilisation (SETU) mechanism established by the central Government comes under:
MG REGA PMSBMY NIT! Aayog PMAGY
61. The slope of the line through the points and is
3 1 1
3
62.
If L is the universal set and the empty set, then for any subset A of which of the

following is false?
AnU=A AnA=A


63.
The domain of the rea] valued functions is


x 0
31'2 -7x
64. The value of lim ....0 is
5x
3
5 0 00
65. The derivative of the function sin-1 is

1



2
66. If the total cost C of making x units of a product is 0.03.3_0.04x2 +8x +10000 then the marginal cost at 100 units output is
1000 900 400 Data insufficient
x
67. The integral of is loge a

x+C


loge a

68. A dealer got a profit of 20% by selling an article for 144. If he wants to make a profit of the selling price should be
156 216 96 14833
160/2015 10
A

69. Which of the fol1owing statements about any two square matrices of the same order is false?

Addition is associative Multiplication is commutative


Multiplication is associative Addition is commutative


70. The value of log2j31728 is:
3.2375 4.0000 6.0000 6.2375
71. The supply and demand curves are respectively y and!J 20 Then the equilibrium price is
2 0 17 16
72. In a survey regarding the alcohol consumption of people in a village it was observed that 55% of the people consume liquor 52% liquor 40% liquor 30% liquor A and 25% liquor Band 20% liquor A and C and 10% al1 the three brands. The percentage of people in the vil1age those who do not consume any kind of liquor of the above three kinds is
82% 47% 18% 13%
73. The derivative of the function is:
1 1
2.[;X 1 JX
74. Which of the following statements regarding the extreme values of the function =x3 is true?

has no maximum


has no minimum


has both maximum and minimum


has neither a maximum nor a minimum


75. If an amount of 12,540 is divided among Band C so that A shall receive "73 as much as
Band C together receive, then A must get:
5374.29 3762 4180 Data insufficient
1 1 1 1.
76. The value of 1 +...IS:
2 2 22
1.5 .Ji 2 2.4
77. The sum of the first 20 odd natural numbers is
400 210 420 2870
A 11 160/2015 (P.T.a.,
78. The sum of 11 consecutive terms of an AP is 132. Then the 6th term is
22 66 12 6
79. The number of ways in which the letters of the word ACCOUNTA T can be arranged among themselves is
45,360 3,62,880 504 15,120
80. What does the range address Al 04 in Microsoft Excel worksheet indicate?

The two cells Al and 04


The four diagonal cells for Al to 04


All cells in the sheet except Al and 04


All the 16 cells from Al to 04 in the 4 rows and 4 columns


81. 'Kanni 10 Day' (Malayalam month -KalUli) was commemorated by the progressive people of Kerala in connection with which of the following event?

Punnapra -Vayalar Revolt


Temple Entry Proclamation


Deportation of Swadesabhimani K.Ramakrishna Pillai


Birthday of Sree Naryana Guru


82. Which newspaper from Malabar was known as 'The Bible of the Tiyyas'

Sujananandhini Mithavadi


Sugunabodhini Kerala Kaumudhi


83. A Malayalam novel published in 1978 which depicts the story of a village around 250 years and consists of around 380 characters; but there are no hero or heroine. It also reveals the transformation of the social life in Travancore. Which is that novel?

am Desathinte Katha of S.K. Pottakkad


Kayar of Thakazhi Sivasankara Pillai


Avakasikal of Vilasini


Khasakkinte lthillasam of O.V. Vijayan


84. The famous Muthukulam Speech was made by

C. V. Kunjurarnan C. Kesavan


K.5ukumaran Mannath Padmanabhan


85. Which among the following personalities have the credit to be jailed by the Travancore govermnent for five months during the Vaikkom Satyagraha period and fifteen months imprisonment at the Singapore Jail during the Second World War Period?

K.P. Kesava Menon E.V. Ramaswami Naicker


Captain Lakshmi Mullasseril Narayanan ambi


160/2015 12 A
86. Match the following: A B

SN DP St. Kuriakose Elias Chaavara


NSS V. Janamma


PRDS Dr. P. Palpu


C M I Panangotlu Kesava Panikkar













(iii)


87. Who was known as 'The Father of tile industry in Kerala'

Benjamin Bailey William Carrey


George Plub Col. Munroe


88. Who was the only Malayali mentioned by Gandhiji in his Autobiography?

T.K. Madhavan Barrister G.P. Pillai


T.K. Velu Pillai K.Kelappan


89. "I have been touring different parts of the world. During these travels I have had good fortune to come into contact with several saints and rishis. But j have frankly to admit that I have not come across one who is spiritually greater than Swami Narayana Guru of Malayalam". Who made the above statement?

Rabindranath Tagore Mahatma Gandhi


C.F. Andrews Romain Rolland


90. Who wrote the work, 'Kaattile Jyeshtan'

K.P. Vallon Ponkunnam Varkey


Pandit K.P. Karuppan Kurur Nilakandan Namboodiripad


91. The present logo of University Grant Commission was designed by

Anjali Gupta Priya Jayanand


Arun Vijayaraghav Udaya kuamar


92. Gandhi -Irwin Pact signed on

5th March 1931 5t March 1931


29th May 1932 21't March 1932


93. Indian Space Research Organization (lSRO) was started in the year:
1979 1969 1970 1966
94. Which state is the largest producer of saffron in India?

Kamataka Jammu and Kashmir


Punjab Andhra Pradesh


A 13 160/2015 IP.T.O.}
95. The famous E -Commerce Company FLIPKART founded by

Sanjay Prakash and Bobby Prakash


Sergey Bin and Larry Page


Sachin Bansal and Binny Bensal


Sachin Sanyal and Kanu Sanyal


96. Who wrote the famous novel, 'The Rebel Generation'

Virginia Woolf Mary Woodstonecraft


Jumba Lahri Kuller Johanna


97. Fort Pokhran is situated at
Jaisalmer Malwa Peshwar Fathehpur Sikri
98. 'RAMMASUN' a typhoon hit in the Philippines in 2014, the Thai (Siamese) word RAMMASUN means:

God of Thunder Fire


The Disaster God of the Sea


99. Which sea literally means "The middle of the Earth"

Caspian Sea Pacific Ocean


Bay of Siberia Mediterranean Sea


100. Which among the following cricketers died due to injury in the field in 2014

Jimmy Welsh Philip Joel Hughes


Martin Hughes Norman Philip


00­
160/2015 14 A