Himachal Pradesh Statistical Assistant Exam 31 Oct 2020 (Official Answer Key)

21. cos (- 780°) = ?
(A) 0
(B) ½
(C) 1/√2
(D) 1

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22. What comes next in the sequence : 1, 2, 6, 22, ……….
(A) 82
(B) 84
(C) 86
(D) 88

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23. What is the 31^st term of the sequence : 1, 4, 7, 10, ……..
(A) 90
(B) 92
(C) 93
(D) 91

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24. What is the sum of the first 100 odd numbers ?
(A) 9,000
(B) 10,000
(C) 11,000
(D) 12,000

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25. Assumption in calculating annuity is that every payment is
(A) different
(B) nominal
(C) marginal
(D) equal

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26. Graph of quadratic function is classified as
(A) composite graph
(B) parabolas
(C) quarter graph
(D) annual graph

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27. (x + 2)² = x²+4x +4 is
(A) a linear equation
(B) cubic equation
(C) an identity
(D) an equation

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28. What is the area of a semi-circle of radius 5 cm?
(A) 78.57
(B) 71.42
(C) 63.18
(D) 79.86

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29. A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is
(A) 140
(B) 196
(C) 280
(D) 346

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30. If the average income of 100 labourers is 20 & the average income of all 150 labourers is ₹ 25, calculate the average income of remaining 50 labourers ?
(A) 30
(B) 25
(C) 23
(D) 35

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31. Calculate Q₃ from the following data :
X: 20 24 28 16 36 40 32 12
(A) 35
(B) 30
(C) 28
(D) 60

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32. If Geometric mean of 4 items is 6, what is the product of the items ?
(A) 1200
(B) 1296
(C) 1300
(D) 1396

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33. In a Distribution, Mean = 65, Median = 70 and co-efficient of skewness = – 0.6. Find out co-efficient of variation.
(A) 38%
(B) 30%
(C) 38.46%
(D) 50%

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34. When bry=0.8, byx = 0.45, what will be the value of r ?
(A) 0.6
(B) 0.8
(C) 0.10
(D) 0.15

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35. The formulae of Laspeyre’s method in index no. is
(A)
(B)
(C)
(D)

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36. A fair dice is rolled, what is the probability of getting 4 or 6 ?
(A) ½
(B) ¼
(C) ⅙
(D) ⅓

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37. The Demand for a commodity increased by 25% in 1990, decreased by 10% in 1991 and increased by 15% in 1992. Find out the annual rate of increase ?
(A) 8.96%
(B) 7.20%
(C) 15.2%
(D) 14%

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38. Maximum value of correlation is
(A) 2
(B) 1.5
(C) 1
(D) 0

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39. Dependent variable is represented along
(A) X-axis
(B) Y-axis
(C) Z-axis
(D) none of these

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40. In a set of observations, the unusual lower and higher values are called
(A) Out liners
(B) Free liners
(C) Central liners
(D) Median liners

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