Quantitative Techniques CUET General Test MCQs

Question. What is the probability of getting exactly two tails in a single throw of 3 coins?
(a) 1/8
(b) 2/8
(c) 3/8
(d) 2/6

Answer: C

Question. The relationship between correlation coefficient and coefficient of determination is that
(a) Both are unrelated
(b) Coefficient of correlation is the square root of the coefficient of determination
(c) The coefficient of determination is the square root of the coefficient of correlation
(d) The coefficient of determination is the coefficient of correlation squared

Answer: B

Question. Which of the following values could not represent a correlation coefficient?
(a) r = 0.99
(b) r = 0.02
(c) r = -0.73
(d) r = 1.09

Answer: D

Question. If the value of correlation coefficient between X and Y is ‘0’ then
(a) Positive correlation between X and Y
(b) Negative correlation between X and Y
(c) Absence of Correlation between X and Y
(d) Perfectly positive correlation between X and Y

Answer: C

Question. In simple linear regression, the numbers of unknown constants are:
(a) two
(b) three
(c) four
(d) five

Answer: A

Question. If two variables, x and y, have a very strong linear relationship, then
(a) there is evidence that x causes a change in y
(b) there is evidence that y causes a change in x
(c) there might not be any causal relationship between x and y
(d) None of the above

Answer: C

Question. The value we would predict for the dependent variable when the independent variables are all equal to zero is called:
(a) Slope
(b) Sum of residual
(c) Intercept
(d) Origin

Answer: C

Question. Which of the following equation is used to describe linear relationship
(a) y = a + bx²
(b) y = ax² + b
(c) y = ax³ + b
(d) y = a + bx

Answer: D

Question. If the Pearson correlation co-efficient R is equal to 1, then:
(a) there is a positive relationship between the two variables.
(b) there is a negative relationship between the two variables.
(c) There is a perfect positive relationship between the two variables.
(d) there is no relationship between the two variables.

Answer: C

Question. The study of the relationship between one variables and the combined effect of all other variables is called
(a) Multiple correlation
(b) Total correlation
(c) Partial correlation
(d) Simple correlation

Answer: A

Question. The geometric mean of the two regression coefficient β_yx and β_xy is equal to:
(a) r
(b) r²
(c) 1
(d) 2

Answer: A

Question. The estimate of β in the regression equation Y=α+βx+e by the method of least square is:
(a) Biased
(b) Unbiased
(c) Consistent
(d) Constant

Answer: B

Question. The independent variable in a regression is also called:
(a) Regressor
(b) Regressand
(c) Predictand
(d) Determinat

Answer: A

Question. In the regression equation Y=a+bX, the Y is called:
(a) Independent variable
(b) Dependent variable
(c) Continuous variable
(d) Constant variable

Answer: B

Question. Regression coefficient is independent of
(a) Value
(b) Scale
(c) Both Origin and Scale
(d) Origin

Answer: A

Question. Regression analysis:
(a) Measures the demand for goods
(b) Measures growth
(c) Established the relationship between two variables
(d) Estimate the value of variables

Answer: C

Question. In the regression equation Y = 21 – 3x, the slope is
(a) 21
(b) 3
(c) -3
(d) 18

Answer: C

Question. The straight line graph of the linear equation Y=a+bX will slope downward if:
(a) b > 0
(b) b<0
(c) b = 0
(d) b = 1

Answer: D

Question. If Y= 2 - 0.2X, then the value of Y intercept is equal to:
(a) -0.2
(b) 2
(c) 0.2X
(d) 1.08

Answer: B

Question. The coefficient of determination must be
(a) between -1 and +1
(b) between -1 and 0
(c) between 0 and 1
(d) Between 1 and 2

Answer: C

Question. A process by which we estimate the value of dependent variable on the basis of one or more independent variables is called:
(a) Correlation
(b) Regression
(c) Residual
(d) Deviation

Answer: B

Question. Poisson distribution has only one parameter which is the
(a) Mean
(b) Variance
(c) Standard variation
(d) Mode

Answer: B

Question. The probability of r success in n trials given by P(X=r) = ⁿC_rp^r q^n-r ,is the general form of
(a) Normal distribution
(b) Poisson distribution
(c) Binomial distribution
(d) None of the above

Answer: C

Question. An orderly set of data arranged in accordance with their time of occurrence is called:
(a) Arithmetic series
(b) Geometric series
(c) Time series
(d) Random series

Answer: C

Question. The graph of time series is called:
(a) Polygon
(b) Frequency curve
(c) Ogive
(d) Histogram

Answer: D

Question. Laspeyres' index number may be said to give
(a) Upper limit to the price change
(b) Lower limit to the price change
(c) Demand limit to the price change
(d) Supply limit to the price change

Answer: A

Question. P₀ indicates
(a) Price of the current year
(b) Price of the base year
(c) Price of the last year
(d) Price of previous year

Answer: B

Question. Index for base period is always taken as:
(a) One
(b) 100
(c) Zero
(d) 1000

Answer: B

Question. Fisher's index number is the
(a) Arithmetic mean of Paasche's index number and Laspeyres' index number
(b) Harmonic mean of Paasche's index number and Laspeyres' index number
(c) Average mean of Paasche’s index number and Laspeyres’ index number
(d) Geometric mean of Paasche's index number and Laspeyres' index number

Answer: D

Question. Which of the following is not a measurement of trend?
(a) Graphic method
(b) Method of moving averages
(c) Method of composite straight lines
(d) Method of semi-averages

Answer: C

Question. The crude birth rate reveals the proportion by which the population is increased through
(a) the addition of new members
(b) the subtraction of new members
(c) the high standards of infant welfare
(d) the high standards of maternal welfare

Answer: A

Question. The crude birth rate usually lies between
(a) 5 and 20 per 1,000
(b) 10 and 55 per 1,000
(c) 15 and 60 per 1,000
(d) 20 and 75 per 1,000

Answer: B

Question. The death rate used for comparing the mortality situations of two or more places is
(a) Crude death rate
(b) Specific death rate
(c) Projected death rate
(d) Standardised death rate

Answer: D

Question. A population with constant size and age composition or constant age and sex composition over time is called
(a) stable population
(b) stationary population
(c) standardised population
(d) life table population

Answer: B

Question. Which of the following is also known as ‘biometer of population’?
(a) Life table
(b) Total fertility rate
(c) Force of Morbidity
(d) Net reproduction rate

Answer: A

Question. The most appropriate average in averaging the price relatives is:
(a) Harmonic mean
(b) Arithmetic mean
(c) Geometric mean
(d) Median

Answer: C

Question. Base period for an index number should be a
(a) Normal period
(b) Year only
(c) Period at distant past
(d) Next year

Answer: A

Question. Index numbers are expressed in:
(a) Ratios
(b) Squares
(c) Percentages
(d) Margin

Answer: C

Question. What type of index number can help the government to formulate its price policies and to take appropriate economic measures to control prices?
(a) Wholesale Price Index
(b) Consumer's Price Index
(c) Volume Index Number
(d) Composite index

Answer: B

Question. In a multiplicative model the seasonal effects are expressed as
(a) Percentage or Ratio
(b) Percentage or Square root
(c) Square root or Ratio
(d) Ratio or Variation

Answer: A

Question. Which show the changes in the general price level of the country?
(a) Retail price index numbers
(b) Wholesale price index numbers
(c) Agricultural price index
(d) Industrial price index

Answer: B

Question. Fisher's ideal index number is the geometric mean of the:
(a) Laspeyre's and Marshall Edgeworth indices
(b) Laspeyre's and Paasche's indices
(c) Paasche's and Marshal Edgeworth indices
(d) Square root of Laspeyre’s

Answer: B

Question. Moving average method is used for measurement of trend when:
(a) Trend is linear
(b) Trend is non linear
(c) Trend is curvilinear
(d) Trend is irregular

Answer: A

Question. The parameters involved in binomial distribution is/are
(a) n
(b) p and q
(c) n, p and q
(d) n and p

Answer: D

Question. If ‘m’ is the mean of a Poisson distribution, the variance is given by
(a) m²
(b) m
(c) √m
(d) m/2

Answer: C

Question. For a normal curve, the QD, MD and SD are in the ratio
(a) 1:2:3
(b) 5:6:7
(c) 9:10:11
(d) 10:12:15

Answer: B

Question. In a binomial distribution, if p=q, then P(X=r) is given by
(a) ⁿC_r(0.5)ⁿ
(b) ⁿC_n(0.5)ⁿ
(c) ⁿC_r(0.5)^r
(d) ⁿC_n(0.5)^r

Answer: A

Question. In a binomial distribution, if ‘n’ is the number of trials and ‘p’ is the probability of success, then the mean value is given by
(a) n
(b) √np
(c) np
(d) npq

Answer: C

Question. Under normal curve, the area enclosed by ‘ mean ± 2σ ’ is
(a) 68.26%
(b) 95.44%
(c) 99.73%
(d) 100%

Answer: D

Question. Poisson distribution with regard to peakedness is
(a) Platykurtic
(b) Mesokurtic
(c) Leptokurtic
(d) Depends on value of its parameter

Answer: C

Question. If a ball is drawn at random from a bag containing 4 white, 7 green and 10 black balls, what is the probability that it is a green ball?
(a) 7/21
(b) 4/21
(c) 7/7
(d) 1/21

Answer: A

Question. The probability of the simultaneous occurrence of two events A and B is
(a) P(A) + P(B)
(b) P(A) + P(B) – P(A∩B)
(c) P(A) – P(B)
(d) P(A) P(B/A), P(A) ≠0

Answer: A

Question. The outcomes of tossing a coin five times are a variable of the type
(a) Continuous random variable
(b) Discrete random variable
(c) Neither discrete nor continuous random variable
(d) Discrete as well as continuous random variable

Answer: B

Question. The value of constant ‘e’ appearing in normal distribution is
(a) 3.1416
(b) 2.1783
(c) 2.7183
(d) 2.8317

Answer: C

Question. The shape of the normal curve is
(a) Bell shaped
(b) Flat
(c) Circular
(d) Spiked

Answer: A

Question. In probability theories, events which can never occur together are called
(a) Dependent events
(b) Independent events
(c) Mutually exclusive events
(d) Non-mutually exclusive events

Answer: C

Question. If the happening of an event is not affected by the happening of other events, it is said to be
(a) A dependent events
(b) An independent events
(c) Mutually exclusive events
(d) Exhaustive cases

Answer: B

Question. Individual respondents, focus groups, and panels of respondents are categorized as
(a) Primary data sources
(b) Secondary data sources
(c) Itemized data sources
(d) Pointed data sources

Answer: B

Question. A _____ is a numerical characteristic of a sample and a _____ is a numerical characteristic of a population.
(a) Sample, population
(b) Population, sample
(c) Statistic, parameter
(d) Parameter, statistic

Answer: C

Question. A graph that uses vertical bars to represent data is called a_____-
(a) Line graph
(b) Bar graph
(c) Scatter-plot
(d) Vertical graph

Answer: B

FILL IN THE BLANKS

Question. The regression equation Y= a + bx, pass through the origin and b= 0.5 then the regression equation will be written as _____________.

Answer: Y=0.5x

Question. The value of the coefficient of correlation r lies between _____________.

Answer: -1 and +1

Question. The square of the correlation coefficient is called the _____________.

Answer: Coefficient of determination

Question. When regression line passes through the origin, then intercept is _____________

Answer: zero

Question. In time reversal test the product of the index number by another index number based on the same data with time interchange equal to _____________.

Answer: One

Question. The variation which occurs regularly and periodically within a period of less than one year is _____________.

Answer: Seasonal variation

Question. The crude birth rate shows the rate at which the population ________ through births.

Answer: increases

Question. The gross reproduction rate is used as a measure of the ________ in a population.

Answer: fertility

Question. Vital statistics is the science of ________ applied to the life history of communities and nations.

Answer: numbers

Question. An old population can exhibit a relatively ________ crude death rate even if longevity is high.

Answer: high

Question. The risk of dying from puerperal causes is measured by the ________ mortality rate.

Answer: maternal

Question. Death rate are made specific only with respect to ________ and sex.

Answer: age

Question. Data on births and deaths can be obtained from the ________ record.

Answer: hospital

Question. It is only a ________ birth that signifies an addition to the existing population.

Answer: live

Question. The infant mortality rate has been called the most ________ of all measures of mortality.

Answer: sensitive

Question. Vital statistics have to do with ________ rather than things.

Answer: people

Question. ________ deals with mankind in the aggregate.

Answer: Vital statistics

Question. In time series ananlysis, if the period of cycle is not fixed because of fluctuations, the trend will be a _____________.

Answer: Curve

Question. A simple average of price relative is an index obtained by taking the average of the price relatives of all the items in the series. The average normally used is the _____________

Answer: Arithmetic mean

Question. In a certain data if Lasperye’s Index Number is 20 and Paasche’s Index Number is 5, then Fisher’s Ideal Index number will be _____________

Answer: 10

Question. Price relative is usually calculated as a percentage of the price of a commodity in any year as compared with the _____________ price.

Answer: Base year

Question. In analysis of a sample data it was found that , Paasche’s and Laspeyre’s index numbers are 5 and 8 respectively, then Fisher’s index number will be _____________

Answer: 6.32

Question. In regression equation Y = a + bx, Y is dependent variable and x is _____________

Answer: Independent variable

Question. Simple linear regression involves a relationship between _____________ Only.

Answer: Two variables

Question. If the two series are ranked according to two attributes, the correlation coefficient between their ranks is called the _____________.

Answer: Rank corellation

Question. The correlation between two variables eliminating the linear effect of other variables in them is called _____________.

Answer: Partial correlation

Question. To obtain the line of best fit, we use the method of _____________.

Answer: Least square

Question. If correlation coefficient (r) equal to +1 it shows a _____________.

Answer: perfect positive correlation

Question. Under simple correlation the relationship is confined to _____________ variables only.

Answer: two

Question. If ∑p₁q₀ = 42 and ∑p₀q₀ = 20 then Laspeyre’s Index Number is _____________.

Answer: 210