SSC CGL Mock – Paper II Statistics Mock Test 01 – Paper II · Statistics | Online Quiz

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SSC CGL Mock – Paper II Statistics Mock Test 01 – Paper II · Statistics – 100 questions, subject: Full Mock Tests. Every question has the correct answer with a one-line explanation; tap "Show Answer". Free practice for TNPSC, UPSC, SSC, Bank and RRB exams – Shanmugam IAS Academy, Coimbatore.

A college student personally visits 60 tea stalls of her town and notes the price of a cup of tea for her project. For her project, these figures are

Correct Answer: D [primary data]

Explanation:

Data collected first-hand by the investigator for her own purpose are primary data.

A table shows the number of post offices in each district of a state. The data are classified on the

Correct Answer: C [geographical (spatial) basis]

Explanation:

Classification by place – district, state, region – is geographical or spatial classification.

Marks of a class are grouped as 25–34, 35–44, 45–54, … (inclusive classes). What is the upper class boundary of the class 35–44?

Correct Answer: A [44.5]

Explanation:

Gap between 44 and 45 is 1; half of it (0.5) is added to the upper limit: 44 + 0.5 = 44.5.

In a fictional family budget, food takes ₹ 9,000 out of a monthly spending of ₹ 24,000. In a pie diagram of this budget, the angle of the food sector is

Correct Answer: B [135°]

Explanation:

Angle = 9,000/24,000 × 360° = 135°.

Diagram-basedA fictional food-delivery app recorded the distance each of its riders covered on one day.

From the histogram, how many riders covered at least 50 km that day?

Correct Answer: A [37]

Explanation:

Bars from 50 km onwards: 21 + 12 + 4 = 37.

By Sturges' rule (k = 1 + 3.322 log₁₀ N), about how many classes should be formed for N = 100 observations? (nearest whole number)

Correct Answer: B [8]

Explanation:

k = 1 + 3.322 × 2 = 7.644 ≈ 8 classes.

A table made by a fictional municipal office has the titles 'Male', 'Female' and 'Total' written at the top of its columns. Such column titles are known as

Correct Answer: C [captions]

Explanation:

Column headings = captions; row headings = stubs; the figures form the body.

A 'less than' ogive is drawn by plotting the cumulative frequencies against the

Correct Answer: D [upper class limits]

Explanation:

'Less than' cumulative frequencies belong to the upper limits; a 'more than' ogive uses the lower limits.

Daily sales (in units) of a fictional shop in one week were 23, 31, 27, 35, 29, 26, 39. The mean daily sale is

Correct Answer: B [30]

Explanation:

Answer: 30. Σx = 210; mean = 210/7 = 30.

10.

Ages (years) of eight fictional club members: 34, 19, 27, 41, 23, 30, 38, 25. The median age is

Correct Answer: D [28.5]

Explanation:

Sorted: 19, 23, 25, 27, 30, 34, 38, 41; median = (27 + 30)/2 = 28.5.

11.

Shoe sizes sold by a fictional shop in one hour: 7, 8, 6, 8, 9, 7, 8, 10, 8, 7. The modal size is

Correct Answer: A [8]

Explanation:

Size 8 occurs four times – more than any other size.

12.

A student scores 60 in the theory paper (weight 2), 75 in the practical (weight 3) and 80 in the project (weight 5). The weighted mean score is

Correct Answer: C [74.5]

Explanation:

(60×2 + 75×3 + 80×5)/10 = 745/10 = 74.5.

13.

In a fictional class, 30 boys have mean mark 62 and 20 girls have mean mark 70. The mean mark of the whole class is

Correct Answer: B [65.2]

Explanation:

(30×62 + 20×70)/50 = 3260/50 = 65.2.

14.

A fictional shop worked out its mean daily sales over 40 days as ₹ 52 thousand. Later it found that one day's sale of ₹ 73 thousand had been entered as ₹ 37 thousand. The corrected mean (₹ thousand) is

Correct Answer: D [52.9]

Explanation:

Correct total = 40×52 − 37 + 73 = 2116; mean = 52.9.

15.

Monthly water bills of the flats of a fictional housing society have mean ₹ 450 and median ₹ 420; the distribution is only moderately skewed. Using Mode = 3 Median − 2 Mean, the modal bill is about

Correct Answer: A [360]

Explanation:

Mode = 3 Median − 2 Mean = 1260 − 900 = 360.

16.

A bus goes from town P to town Q at 36 km/h and returns along the same road at 45 km/h. Its average speed for the round trip is

Correct Answer: C [40 km/h]

Explanation:

Equal distances → harmonic mean: 2 × 36 × 45/(36 + 45) = 40 km/h.

17.

Fill in the blankFor any set of observations, the sum of the deviations of the observations from their ______ is always zero.

Correct Answer: A [arithmetic mean]

Explanation:

Σ(x − x̄) = Σx − n x̄ = 0, and this holds only for the arithmetic mean.

18.

Milk supplied per day (litres) by the 20 members of a fictional village dairy: 0–10 litres: 3 members, 10–20: 5, 20–30: 8, 30–40: 4. What is the mean supply per member?

Correct Answer: D [21.5]

Explanation:

Σfx = 3×5 + 5×15 + 8×25 + 4×35 = 430; N = 20; mean = 21.5.

19.

The highest and lowest daily wages paid at a fictional workshop in a month were ₹ 480 and ₹ 120. The coefficient of range is

Correct Answer: C [0.6]

Explanation:

(H − L)/(H + L) = 360/600 = 0.6.

20.

For a fictional data set the lower and upper quartiles are 22 and 40. The coefficient of quartile deviation is

Correct Answer: B [0.29]

Explanation:

(Q₃ − Q₁)/(Q₃ + Q₁) = 18/62 = 0.29.

21.

Find the standard deviation of 4, 8, 6, 10, 12 (divide by n).

Correct Answer: A [2.83]

Explanation:

Mean 8; Σ(x − 8)² = 16 + 0 + 4 + 4 + 16 = 40; variance = 40/5 = 8; SD = √8 ≈ 2.83.

22.

A fictional batter scored 3, 7, 9, 11, 15 in five innings. The average absolute deviation of these scores from their mean is

Correct Answer: D [3.2]

Explanation:

Mean 9; |deviations| 6, 2, 0, 2, 6 → 16/5 = 3.2.

23.

A fictional batch of bulbs has mean life 50 days and standard deviation 8 days. The coefficient of variation is

Correct Answer: C [16%]

Explanation:

CV = σ/x̄ × 100 = 8/50 × 100 = 16%.

24.

If 7 is added to every observation of a data set, the variance

Correct Answer: B [remains the same]

Explanation:

Adding a constant shifts every value and the mean equally; deviations and hence variance are unchanged.

25.

Fictional machine A fills packets with mean 500 g and SD 4 g; machine B fills packets with mean 250 g and SD 2.5 g. Which is relatively more consistent?

Correct Answer: D [Machine A, because its CV is smaller]

Explanation:

CV(A) = 0.8%, CV(B) = 1%; the smaller CV (A) is more consistent.

26.

Nine customers at a fictional bank counter get tokens numbered 1 to 9. The standard deviation (divide by n) of the token numbers is

Correct Answer: B [2.58]

Explanation:

σ = √((n² − 1)/12) = √(80/12) ≈ 2.58.

27.

A researcher wants to compare the spread of heights (in cm) with the spread of weights (in kg) of the same students. Being free of units, the right measure for this is the

Correct Answer: A [coefficient of variation]

Explanation:

Relative measures are pure numbers (ratios such as CV); the others carry the unit of the data.

28.

The first two raw moments of a distribution about the origin are 5 and 34. Its variance is

Correct Answer: C [9]

Explanation:

μ₂ = μ₂′ − (μ₁′)² = 34 − 25 = 9.

29.

For a fictional distribution, mean = 60, mode = 54 and SD = 12. Karl Pearson's coefficient of skewness (mean − mode)/σ is

Correct Answer: A [0.5]

Explanation:

Answer: 0.5. (60 − 54)/12 = 0.5.

30.

A distribution whose coefficient β₂ = μ₄/μ₂² equals 3 is called

Correct Answer: B [mesokurtic]

Explanation:

β₂ = 3 is the normal curve's kurtosis (mesokurtic); > 3 leptokurtic; < 3 platykurtic.

31.

The first central moment μ₁ (about the arithmetic mean) of any distribution is always

Correct Answer: D [0]

Explanation:

μ₁ = Σ(x − x̄)/n = 0 for every distribution.

32.

Delivery times (minutes) of a fictional courier have Q₁ = 20, median 30 and Q₃ = 45. Bowley's coefficient of skewness is

Correct Answer: C [0.2]

Explanation:

(Q₃ + Q₁ − 2Md)/(Q₃ − Q₁) = (45 + 20 − 60)/25 = 0.2.

33.

In a fictional distribution, mean < median < mode. The distribution is

Correct Answer: B [negatively skewed]

Explanation:

The mean is pulled towards the long tail; mean smallest → long left tail → negative skew.

34.

For a distribution, μ₂ = 4 and μ₃ = −4. The coefficient β₁ = μ₃²/μ₂³ is

Correct Answer: A [0.25]

Explanation:

β₁ = (−4)²/4³ = 16/64 = 0.25 (β₁ is never negative).

35.

For two variables, Cov(X, Y) = 12, σₓ = 4 and σᵧ = 5. The correlation coefficient is

Correct Answer: D [0.6]

Explanation:

Answer: 0.6. r = Cov/(σₓσᵧ) = 12/20 = 0.6.

36.

All the points of a scatter diagram lie exactly on a straight line that rises from left to right. The correlation coefficient is

Correct Answer: C [+1]

Explanation:

Perfect positive linear relation → r = +1.

37.

Odd one outWhich of the following can NOT be the value of a correlation coefficient?

Correct Answer: A [1.2]

Explanation:

r always lies between −1 and +1; 1.2 is impossible.

38.

In a fictional study of hours studied (X) and marks (Y), r = 0.8, σₓ = 3 hours and σᵧ = 6 marks. By how many marks is Y expected to change per extra hour (bᵧₓ)?

Correct Answer: C [1.6]

Explanation:

bᵧₓ = r σᵧ/σₓ = 0.8 × 6/3 = 1.6.

39.

A fictional seed company relates fertiliser dose (x) and crop yield (y). It finds bᵧₓ = 0.8 and bₓᵧ = 0.45. Hence the coefficient of correlation is

Correct Answer: B [0.6]

Explanation:

r = +√(bᵧₓ bₓᵧ) = √0.36 = 0.6 (sign of the coefficients: +).

40.

Two fictional judges rank six dance teams as follows. Judge A: 1, 2, 3, 4, 5, 6; Judge B: 2, 1, 4, 3, 6, 5. Spearman's rank correlation coefficient is

Correct Answer: D [0.83]

Explanation:

Each d = ±1 → Σd² = 6; ρ = 1 − 6 × 6/(6 × 35) = 0.83.

41.

The correlation coefficient between two variables is 0.7. What percentage of the variation in Y is explained by its linear relation with X?

Correct Answer: B [49%]

Explanation:

Answer: 49%. r² = 0.49 → 49%.

42.

For fictional data on family size (x) and weekly milk bill (y, ₹ hundred), the lines of regression are 2y − x = 8 and 5x − 2y = 8. The average family size x̄ is

Correct Answer: C [4]

Explanation:

Both lines pass through (x̄, ȳ): 2y = x + 8 → 5x − (x + 8) = 8 → x̄ = 4 (ȳ = 6).

43.

If X and Y are independent random variables, their correlation coefficient is

Correct Answer: A [0]

Explanation:

Independence gives Cov(X, Y) = 0, so r = 0 (the converse need not hold).

44.

r(x, y) = 0.6. If u = (x − 5)/2 and v = (y − 10)/(−3), the correlation coefficient r(u, v) is

Correct Answer: D [−0.6]

Explanation:

r ignores origins and the size of the scales, but a negative scale on one variable reverses the sign: −0.6.

45.

Fictional survey of 100 people: 45 have both attributes A and B, 15 have A but not B, 10 have B but not A and 30 have neither. Yule's coefficient of association Q between A and B is

Correct Answer: C [0.8]

Explanation:

Q = (ad − bc)/(ad + bc) = (1350 − 150)/(1350 + 150) = 0.8.

46.

In a board game at a fictional school fair, a player rolls two fair dice and moves ahead by their total. The chance that she moves exactly 9 squares is

Correct Answer: D [1/9]

Explanation:

(3,6), (4,5), (5,4), (6,3) → 4/36 = 1/9.

47.

A magician at a fictional fair asks a spectator to pull one card from a full, shuffled pack of 52. The chance that the card is either a king or a heart (or both) is

Correct Answer: A [4/13]

Explanation:

13 hearts + 4 kings − 1 king of hearts = 16; 16/52 = 4/13.

48.

The probability that a fictional train arrives late is 0.35. The probability that it is not late is

Correct Answer: B [0.65]

Explanation:

Answer: 0.65. P(not A) = 1 − 0.35 = 0.65.

49.

At a fictional fair, 50% of visitors buy food, 40% buy toys and 20% buy both. The probability that a visitor buys food or toys is

Correct Answer: B [0.7]

Explanation:

P(A ∪ B) = 0.5 + 0.4 − 0.2 = 0.7.

50.

A fictional bus is on time with probability 0.6 and the connecting train, independently, with probability 0.5. The probability that a commuter finds both on time is

Correct Answer: A [0.3]

Explanation:

For independent events P(A ∩ B) = 0.6 × 0.5 = 0.3.

51.

P(A ∩ B) = 0.12 and P(B) = 0.4. The conditional probability P(A | B) is

Correct Answer: D [0.3]

Explanation:

P(A | B) = P(A ∩ B)/P(B) = 0.12/0.4 = 0.3.

52.

A quiz master in a fictional show tosses three fair coins; the contestant wins if heads show on two or more of them. The chance of winning is

Correct Answer: C [1/2]

Explanation:

HHT, HTH, THH, HHH → 4/8 = 1/2.

53.

A lucky-dip box at a fictional fair holds 5 red and 3 blue tokens. A child takes two tokens at random, one after the other, without putting the first back. The chance that both tokens are red is

Correct Answer: A [5/14]

Explanation:

Answer: 5/14. C(5,2)/C(8,2) = 10/28 = 5/14.

54.

A and B are mutually exclusive events. Then P(A ∩ B) is

Correct Answer: D [0]

Explanation:

Mutually exclusive events cannot happen together, so A ∩ B is empty.

55.

The odds in favour of a fictional team winning a match are 3 : 5. The probability that it wins is

Correct Answer: B [3/8]

Explanation:

Odds a : b in favour → probability a/(a + b) = 3/8.

56.

The number of cars X sold in a day by a fictional dealer has P(X = x) = kx for x = 1, 2, 3, 4. The value of k is

Correct Answer: C [1/10]

Explanation:

Σ kx = k(1 + 2 + 3 + 4) = 10k = 1 → k = 1/10.

57.

The number of defects X on a fictional sheet has P(X = 0) = 0.1, P(X = 1) = 0.3, P(X = 2) = 0.4 and P(X = 3) = 0.2. The expected number of defects is

Correct Answer: C [1.7]

Explanation:

E(X) = 0 + 0.3 + 0.8 + 0.6 = 1.7.

58.

A fictional salesman makes 10 calls a day; each call results in a sale with probability 0.4, independently. The variance of the number of sales a day is

Correct Answer: A [2.4]

Explanation:

Binomial variance npq = 10 × 0.4 × 0.6 = 2.4.

59.

A fictional quiz has four true/false questions and a candidate guesses every answer at random. The probability that exactly two answers are right is

Correct Answer: B [3/8]

Explanation:

Answer: 3/8. C(4,2)(1/2)⁴ = 6/16 = 3/8.

60.

For a Poisson distribution, which of the following is always true?

Correct Answer: D [Mean = Variance]

Explanation:

Poisson with parameter m has mean m and variance m.

61.

Calls reach a fictional helpline at an average of 2 a minute (Poisson). Using e⁻² = 0.1353, the probability of exactly one call in a given minute is

Correct Answer: C [0.2706]

Explanation:

P(X = 1) = e⁻ᵐ m/1! = 0.1353 × 2 = 0.2706.

62.

Weights of fictional packets are normal with mean 60 g and SD 8 g. The standard (z) score of a packet weighing 72 g is

Correct Answer: B [1.5]

Explanation:

z = (x − μ)/σ = (72 − 60)/8 = 1.5.

63.

With the same normal distribution (mean 60 g, SD 8 g) and Φ(1) = 0.8413, the proportion of packets heavier than 68 g is

Correct Answer: D [0.1587]

Explanation:

z = (68 − 60)/8 = 1; P(Z > 1) = 1 − 0.8413 = 0.1587.

64.

The time (hours) between breakdowns of a fictional machine is exponential with rate λ = 0.25 per hour. The mean time between breakdowns is

Correct Answer: A [4 hours]

Explanation:

Exponential mean = 1/λ = 1/0.25 = 4 hours.

65.

A random variable X has variance 2. The variance of 3X − 2 is

Correct Answer: A [18]

Explanation:

Var(aX + b) = a² Var(X) = 9 × 2 = 18.

66.

The joint probabilities of two fictional discrete variables are P(0, 0) = 0.1, P(0, 1) = 0.2, P(1, 0) = 0.3, P(1, 1) = 0.4. The marginal probability P(X = 1) is

Correct Answer: B [0.7]

Explanation:

P(X = 1) = P(1, 0) + P(1, 1) = 0.3 + 0.4 = 0.7.

67.

The average monthly salary of all 5,000 employees of a fictional company, worked out from the complete pay roll, is a

Correct Answer: D [parameter]

Explanation:

A constant describing the whole population is a parameter; a value computed from a sample is a statistic.

68.

From a fictional class of 6 students, a committee of 2 is to be picked by simple random sampling without replacement. How many different samples are possible?

Correct Answer: C [15]

Explanation:

Answer: 15. C(6, 2) = 15.

69.

The weight of packets has SD 15 g. For a random sample of 25 packets, the standard error of the sample mean is

Correct Answer: C [3 g]

Explanation:

Answer: 3 g. SE = σ/√n = 15/5 = 3.

70.

A systematic sample of 60 shops is to be drawn from a numbered list of 1200 shops. The sampling interval k is

Correct Answer: A [20]

Explanation:

Answer: 20. k = N/n = 1200/60 = 20.

71.

An investigator picks the villages that he personally thinks are 'typical' of a fictional district. This is

Correct Answer: D [judgement (purposive) sampling]

Explanation:

The units are chosen by the investigator's own judgement – a non-probability method.

72.

A fictional school has 450 junior, 350 middle and 200 senior pupils. A sample of 40 is drawn by proportional allocation. How many middle-school pupils are in the sample?

Correct Answer: B [14]

Explanation:

Answer: 14. n₂ = 40 × 350/1000 = 14.

73.

The error that arises only because a part of the population (and not the whole of it) is studied is called

Correct Answer: D [sampling error]

Explanation:

Sampling error is the gap between a sample statistic and the parameter caused by studying only a sample.

74.

Fill in the blankAn estimator T of a parameter θ is called unbiased if

Correct Answer: C [E(T) = θ]

Explanation:

Unbiased: the mean of the sampling distribution of T equals θ.

75.

A random sample of 64 fictional LED lamps has mean life 50 hundred hours; the population SD is known to be 8 hundred hours. Taking z = 1.96, the 95% confidence interval for the mean life (hundred hours) is

Correct Answer: A [48.04 to 51.96]

Explanation:

x̄ ± z σ/√n = 50 ± 1.96 × 8/8 = 50 ± 1.96.

76.

In testing a hypothesis, a Type I error is committed when we

Correct Answer: B [reject H₀ although H₀ is true]

Explanation:

Type I = rejecting a true null hypothesis; Type II = accepting a false one.

77.

A fictional machine is set to fill 100 ml bottles. A sample of 36 bottles has mean 103 ml; σ = 12 ml. The test statistic z = (x̄ − μ₀)/(σ/√n) is

Correct Answer: A [1.5]

Explanation:

z = (103 − 100)/(12/6) = 3/2 = 1.5.

78.

When a researcher fixes α = 0.05 before a test, the number 0.05 is the

Correct Answer: C [probability of a Type I error]

Explanation:

Answer: probability of a Type I error. α = P(reject H₀ | H₀ true).

79.

A t-test is used for the mean of a fictional sample of 15 observations (σ unknown). The degrees of freedom are

Correct Answer: D [14]

Explanation:

Answer: 14. One-sample t: ν = n − 1 = 14.

80.

A fictional die is rolled 600 times to test whether it is fair, using the χ² goodness-of-fit test over its six faces. The degrees of freedom are

Correct Answer: B [5]

Explanation:

ν = k − 1 = 6 − 1 = 5 (no parameter estimated).

81.

Two fictional machines give sample variances 24 and 16 (unbiased estimates). The F statistic for testing equality of the population variances is

Correct Answer: D [1.5]

Explanation:

F = larger variance/smaller = 24/16 = 1.5.

82.

In a fictional survey, 45 of 150 randomly chosen commuters use the metro. The point estimate of the proportion of metro users is

Correct Answer: A [0.3]

Explanation:

Answer: 0.3. p̂ = 45/150 = 0.3.

83.

The numbers of complaints on five fictional days are 3, 0, 1, 5, 1, assumed Poisson. The maximum likelihood estimate of the Poisson mean is

Correct Answer: B [2]

Explanation:

For a Poisson sample the MLE of m is the sample mean: 10/5 = 2.

84.

Four fictional fertilisers are each tried on 5 plots (20 plots in all) and compared by one-way ANOVA. The degrees of freedom for the error (within groups) are

Correct Answer: C [16]

Explanation:

Error df = N − k = 20 − 4 = 16; treatments k − 1 = 3; total N − 1 = 19.

85.

In a one-way ANOVA of 3 fictional teaching methods with 15 students in all, the between-methods sum of squares is 60 and the within-methods sum of squares is 120. The F ratio is

Correct Answer: B [3]

Explanation:

MSB = 60/2 = 30; MSW = 120/12 = 10; F = 30/10 = 3.

86.

Analysis of variance (one-way) is mainly used to test whether

Correct Answer: C [several population means are equal]

Explanation:

ANOVA splits total variation to test H₀: μ₁ = μ₂ = … = μₖ.

87.

In a fictional one-way ANOVA, the total sum of squares is 250 and the error sum of squares is 180. The sum of squares between treatments is

Correct Answer: A [70]

Explanation:

SST = SSB + SSE → SSB = 250 − 180 = 70.

88.

Yields of 5 fictional varieties are recorded under 6 spacings, one plot for each combination, and analysed by two-way ANOVA. The error degrees of freedom are

Correct Answer: D [20]

Explanation:

Answer: 20. (r − 1)(c − 1) = 4 × 5 = 20.

89.

The sale of umbrellas in a fictional town rises every monsoon and falls in the dry months, year after year. This movement is

Correct Answer: A [seasonal variation]

Explanation:

A pattern repeating within each year (with the seasons) is seasonal variation.

90.

Yearly output (thousand tonnes) of a fictional mine over five years: 12, 15, 18, 14, 20. The second 3-yearly moving average is

Correct Answer: C [15.67]

Explanation:

(15 + 18 + 14)/3 = 47/3 ≈ 15.67.

91.

The trend of a fictional firm's profit (₹ lakh) is y = 50 + 4x, with x = 0 in 2020 and x in years. The trend estimate for 2025 is

Correct Answer: D [70]

Explanation:

Answer: 70. x = 5: y = 50 + 4 × 5 = 70.

92.

With T = trend, S = seasonal, C = cyclical and I = irregular, which formula expresses a time series under the multiplicative model?

Correct Answer: B [Y = T × S × C × I]

Explanation:

Multiplicative: Y = T·S·C·I (S, C, I as ratios); additive: Y = T + S + C + I.

93.

Sales (₹ lakh) of a fictional shop for six years: 40, 44, 46, 52, 56, 58. By the method of semi-averages, the yearly increase in trend is

Correct Answer: B [4]

Explanation:

Semi-averages 43.33 and 55.33, 3 years apart: (55.33 − 43.33)/3 = 4.

94.

The smooth, long-term upward or downward movement of a time series over many years is called

Correct Answer: D [secular trend]

Explanation:

Trend = general long-run tendency (growth of population, output, prices).

95.

The total of the base-year prices of a fictional basket of items is ₹ 80 and the total of their current-year prices is ₹ 100. The simple aggregative price index is

Correct Answer: A [125]

Explanation:

Σp₁/Σp₀ × 100 = 100/80 × 100 = 125.

96.

Fictional data for a household:
Rice (kg): base price ₹ 40, base quantity 10, current price ₹ 50
Oil (litre): base price ₹ 120, base quantity 2, current price ₹ 150
Sugar (kg): base price ₹ 40, base quantity 5, current price ₹ 45
Laspeyres' price index is

Correct Answer: C [122.02]

Explanation:

Σp₁q₀ = 1025, Σp₀q₀ = 840; index = 122.02.

97.

In the Marshall–Edgeworth price index, the weights used are

Correct Answer: B [the sum of base-year and current-year quantities]

Explanation:

Marshall–Edgeworth: Σp₁(q₀ + q₁)/Σp₀(q₀ + q₁) × 100; Laspeyres uses q₀, Paasche q₁.

98.

A fictional price index (2015 = 100) stands at 150 in 2020 and 180 in 2023. Shifting the base to 2020 = 100, the index for 2023 is

Correct Answer: C [120]

Explanation:

Answer: 120. 180/150 × 100 = 120.

99.

A fictional worker earns ₹ 24,000 a month when the consumer price index (base = 100) is 160. His real wage at base-year prices is

Correct Answer: D [₹ 15,000]

Explanation:

Real wage = money wage × 100/CPI = 24,000 × 100/160 = ₹ 15,000.

100.

A major use of cost of living (consumer price) index numbers is

Correct Answer: A [fixing dearness allowance and measuring the purchasing power of money]

Explanation:

CPI changes are used to revise wages/DA and to measure the rupee's purchasing power.

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