Index Numbers

167 Practice MCQs available for CA Foundation

Paper

Paper 3: Quantitative Aptitude

Exam Weightage

4-6 Marks

Key Topics

Construction of Index Numbers, Time Series

This chapter covers Construction of Index Numbers, Time Series and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

Exam Strategy Tip

This topic carries 4-6 Marks weightage. Focus on understanding core concepts rather than memorizing.

All 167 Questions

3823

The number of tests of Adequacy

3824

Fishers' Ideal Index number is

3773

Time reversal and factor reversal are:

3774

A series of numerical figures which show the relative position is called

3775

The number of test of Adequacy is:

3776

$P_{01}$ is the index for time

3777

The circular test is an extension of

3778

Price - relative is expressed in term of

3779

Circular test is satisfied by

3780

The multiplicative time series model is (from Time Series Topic - deleted from syllabus)

3781

Which of the following statement is true?

3782

The simple average method is used to calculate (Time Series Topic - deleted from syllabus)

3783

The sale of Cold Drink would go up in summers and go down in the winters is an example of

3784

Which is called an ideal index numbers

3785

In semi averages method, if the number of values is odd then we drop (Time Series Topic - deleted from syllabus)

3786

Which is not satisfied by Fisher's ideal index number?

3787

Trend in semi average is:(Time Series Topic - deleted from syllabus)

3788

The most commonly used mathematical method for finding secular trend is (Time Series Topic - deleted from syllabus)

3789

When sale of cold drink increases in summer and decreases in winters is an example of?

3790

Seasonal variations take place within:(Time Series Topic - deleted from syllabus)

3791

Fisher's index number does not satisfy:

3792

In semi-average method if the no. of values is odd, we exclude:(Time Series Topic - deleted from syllabus)

3793

Fisher's ideal index number does not satisfy

3794

Index numbers are expressed as

3795

The cost of living index is always

3796

Fisher's index number does not satisfy

3797

When the prices for quantities consumed of all commodities are changing in the same ratio, then the index numbers due to Laspeyre's and Paasche's will be.

3798

If $P_{0n}$ and $P_{n0}$ are index for $1$ on $0$ and $0$ on $1$ respec. then formula $P_{01} \times P_{10} = 1$ is used for

3799

$The weighted averaged of price relatives of commodities, when the weights are equal to the value of commodities in the current year, yields _________ index number.$

3800

Index numbers are not helpful in

3801

$The three index numbers, namely, Laspeyre, Paasche and Fisher do not satisfy ____ test.$

3802

Geometric mean method used in which index number to find it out

3803

Which test is known for shift base index no.

3804

$Laspeyre and Paasche do not satisfy ____.$

3805

Laspeyre's index number is based on?

3806

Price relative is-

3807

Which one of the following is not appropriate for calculation of index number?

3808

Which of the following index measures the change from month to month in the cost of a representative basket of goods and services of the type which are bought by a typical household?

3809

Fisher's index number is called as ideal index number because it is satisfying

3810

In price index, when a new commodity is required to be added, which of the following index is used?

3811

Which of the below index is computed by taking the average of base year and current year?

3812

$Weighted geometric mean of relative formula satisfies ____ test while Factor Reversal test is satisfied by ____.$

3813

An index number constructed to measure the relative change in the price of an item or a group of item is called:

3814

Fisher's index does not satisfy following test

3815

$The average of base year and current years is used in ____ index number$

3816

What index number formula satisfies both the time reversal and factor reversal tests?

3817

What of the following is not a test of adequacy in the context of index numbers?

3818

Which index number formula does not satisfy the time reversal test?

3819

Time reversal test is satisfied by:

3820

The value index is equal to:

3821

Which one of the following test of adequacy is concerned with the measurement of price changes over a period of years, when it is desirable to shift the base?

3822

The ____ is satisfied when $P_{01} \times P_{10} = 1$

3825

Fishers Ideal Formula satisfies (1) Unit Test (2) Circular Test (3) Factor Reversal Test (4) Time Reversal Test

3826

While construction of Index numbers which of the following has to be considered as point of reference in company various data describing individual behaviour.

3827

Which of the options does not contain the proper use of Index numbers.

3828

Weighted G.M. of relative formula satisfy --- test

3829

Laspeyre's method and Paasche's method do not satisfy

3830

Fisher's index number is based on

3831

Purchasing Power of Money is

3832

Chain index is equal to

3833

The formula should be independent of the unit in which or for which price and quantities are quoted in

3834

The formula for conversion to current value

3835

Circular test is the extension of

3836

Unit test is not satisfied by

3837

The best average for construction of Index Number is

3838

Fisher's index number satisfies the --- tests

3839

Fisher's ideal index number is

3840

Factor reversal test is satisfied by

3841

The number of test inadequacy is

3842

Fishers Price Index number is said is

3843

Which is called an ideal index number

3844

$____________ satisfies circular test$

3845

Laspeyres formula does not satisfy

3846

$The weighted average of price relatives of commodities when the weight is equal to the value of commodities in base year yields ________ index number$

3847

The number of tests of Adequacy is

3848

Fisher's ideal formula for calculating Index number satisfies the

3849

The Circular Test is known as:

3850

$Laspeyres index number is a weighted aggregate method by taking ________ as weights.$

3851

The number of test adequacy is

3852

Laspeyres method and Paasches method do not satisfy

3853

Fisher's index number is called as ideal index number because it is satisfies.

3854

Which index measures the change from month to month in the cost of a representative basket of goods and services of the type bought by a typical household?

3855

Which test should be considered necessarily to verify the consistency while we select an appropriate index formula

3856

Circular test is satisfied by which of the following index?

3857

$The purchasing power of money is ________$

3858

$Fisher's method of calculating the index number is based on the ________$

3859

$Fisher index number is ________ of Laspeyres and Paasches Index Number$

3860

Circular test is satisfied by which of the below?

3861

The cost of index number is always

3862

$Fisher's ideal formula for calculating index number satisfies the ________$

3863

Shifted Price Index = $\frac{\text{Original Price Index}}{\text{Price Index of the year on which it has to be shifted}} \times 100$

3864

The number of test of Adequacy in Index numbers:

3865

Circular Test is satisfied by:

3866

Consumer price index is commonly known as

3867

$________ is an extension of time reversal test.$

3868

$Fisher's method for construction of Index Numbers uses________.$

3869

The ________ is satisfied when $P_{01} \times P_{10} = 1$.

3870

$The tests of shifting bases are called ________.$

3871

$Purchasing power of money is stated as ________ price index?$

3872

When the product of price index and the quantity index is equal to the corresponding value index then the test that holds is

3873

If $\sum P_0q_0 = 1360$, $\sum P_1q_0 = 1900$ $\sum P_0q_1 = 1344$ $\sum P_1q_1 = 1880$ then Laspeyres's Index number is

3874

If the 1970 index with base 1965 is 200 and 1965 index with base 1960 is 150, what will be the index of 1970 on base 1960?

3875

If Laspeyres's Index Number is 250 and Paasche's Index Number is 160, then Fisher's Index number is

3876

If $\sum P_0q_0 = 240$, $\sum P_1q_0 = 480$, $\sum P_0q_1 = 600$ and $\sum P_1q_1 = 192$, then Laspeyres's Index Number is

3877

The prices and quantities of 3 commodities in base and current years are as follows: | | $P_0$ | $q_0$ | $P_1$ | $q_1$ | |---|---|---|---|---| | T2 | 12 | 14 | 20 | 20 | | T0 | 8 | 10 | 20 | 30 | | T8 | 10 | 30 | 10 | 10 | The Laspeyre price index is

3878

The cost of living index numbers in years 2015 and 2018 were 97.5 and 115 respectively. The salary of a worker in 2015 was $19500$. How much additional salary was required for him in 2018 to maintain the same standard of living as in 2015?

3879

The index number of prices at place in the year 2008 is 225 with 2004 as the base then there is:

3880

In Laspeyre's index number is 110 and Fisher's ideal index number is 109. Then Paasche's index number is

3881

The weighted aggregate price index turnover for 2001 with 2000 as the base year using Fisher's Index Number is: | Commodity | Price (In $) | Quantity | |---|---|---| | | 2000 | 2001 | 2000 | 2001 | | A | 10 | 12 | 20 | 22 | | B | 8 | 8 | 16 | 18 | | C | 5 | 6 | 10 | 11 | | D | 4 | 7 | 8 | 7 |

3882

The weighted aggregate price index turnover for 2001 with 2000 as the base year using Paasche's Index Number is: | Commodity | Price (In $) | Quantities | |---|---|---| | | 2000 | 2001 | 2000 | 2001 | | A | 10 | 12 | 20 | 22 | | B | 8 | 8 | 16 | 18 | | C | 5 | 6 | 10 | 11 | | D | 4 | 7 | 8 | 7 |

3883

If in an additive model, O refers to original data as 875, T refers to trend 700, S refers to seasonal variations 200, C refers to cyclical variations 75 then the value of I which refers to irregular variation is:

3884

The weighted aggregative price index turnover for 2001 with 2000 as the base year using Marshall Edgeworth Index Number is: | Commodity | Price In ($) | Quantities | |---|---|---| | | 2000 | 2001 | 2000 | 2001 | | A | 10 | 12 | 20 | 22 | | B | 8 | 8 | 16 | 18 | | C | 5 | 6 | 10 | 11 | | D | 4 | 7 | 8 | 7 |

3885

The consumer price index goes up from 120 to 180 when salary goes up from 240 to 540, what is the increase in real terms?

3886

From the following data base year: | Commodity | Base Year | Current Year | |---|---|---| | | Price | Qty | Price | Qty | | A | 4 | 3 | 6 | 2 | | B | 5 | 4 | 6 | 4 | | C | 7 | 2 | 8 | 5 | | D | 2 | 3 | 1 | 5 | Fisher's Ideal Index is

3887

Consider the data: Year Base year Current year Commodities Price Quantity Price Quantity A 10 5 20 2 B 15 4 25 8 C 20 2 30 4 D 25 3 40 4. Laspeyre's index is

3888

The index number of prices for a country at a given data is $250$. In comparison to the base period price, the price of all commodities in the country has increased by ______ times.

3889

If Fisher's index number is $160$ and Paasche's index number is $140$, then Laspeyre's index number is

3890

The gross monthly pay of an employee was $15,000$ in a year $2020$. The consumer price index number in $2023$ is $155$ with $2020$ as base year. If employee is to rightly compensate what dearness allowance is required to be paid?

3891

If the Laspeyre's index is $110$ and Paasche's index is $108$, then what is the value of Fisher's index?

3892

From the year $2013$ to $2023$, Consumer price index number is increased from $135$ to $180$. During this period, salary of the employees as per pay commission recommendation goes up from $25,000$ to $30,000$. In real terms, an employee should get following additional amount (upto nearest whole number) to maintain his previous standard of living

3893

If the prices of all commodities in the base year are twice the values of the respective commodities in the current year, then the Fisher's ideal index number is equal to:

3894

The consumer price index for the year $2023$ is $273$ with $2010$ as base year. The average monthly wages of industrial worker in year $2023$ is $8,190$. What is the real wage?

3895

During a certain period the cost of living index goes up from $110$ to $200$ and the salary of a worker is also raised from $330$ to $500$. Then in the real terms, the raise in salary is effectively-

3896

The index number of prices at a place in $2008$ is $355$ with $2003$ as base. This means

3897

The Paasches and Fishers index numbers are $169$ and $156$ respectively, then Laspeyre's Index number is

3898

The whole sale price index number or agricultural commodities in a given region at a given date is $280$. The percentage increase in prices of agricultural commodities over the base year is:

3899

During the certain period the C.L.I. goes up from $110$ to $200$ and the Salary of a worker is also raised from $330$ to $500$, then the change in real terms is

3900

In year $2005$, the whole sale price index number is $386$ with $1985$ as base year. By how much the prices have increased in $2005$ in comparison to $1995$?

3901

The prices of commodity in the year $2015$ and $2020$ were $25$ and $30$ respectively taking $2020$ as base year the price relative is

3902

For year $2015$, price index was $267\%$ with base year $2005$. The percentage increase in price index over base year $2005$ is:

3903

If an increase of $10\%$ in prices. The rise in wages is $20\%$ then the real wage has increased by

3904

The cost of living index numbers in years $2015$ and $2021$ were $97.5$ and $115$ respectively. The salary of a worker in $2015$ was $19,500$. How much additional salary is required for him in $2021$ to maintain living standard of $2015$?

3905

If Laspeyre's index number is $250$ and Paasche's index number is $160$, then Fishers Index is

3906

If the price of a commodity in a place have decreased by $30\%$ over the based period places, then the index number of that place is

3907

From the following data for the $5$ groups combined: Group Weights Index no Food 35 425 cloth 15 235 Power & Fuel 20 215 Rent & Rates 8 115 Miscellaneous 22 150. The general Index number is

3908

If $\sum P_0 Q_0 = 1360$, $\sum P_1 Q_0 = 1900$, $\sum P_0 Q_1 = 1880$ then the Laspeyre's Index is

3909

The consumer price index for April $1985$ was $125$. The food price index was $120$ and other items index was $135$. The percentage of food out of the total weight of the index is

3910

Net monthly salary of an employee was $3,000$ in $1980$. The consumer price index number in $1985$ is $250$ with $1980$ as base year. If the has to be rightly compensated then, $7^{th}$ dearness allowances to be paid to the employee is

3911

The index number for the year $2012$ taking $2011$ as the base year from the data given below by using simple average of price relative method isCommodity | A | B | C | D | EPrice in 2011 | 115 | 108 | 95 | 95 | 90Price in 2012 | 125 | 117 | 108 | 95 | 95

3912

Suppose a business executive was earning $2,050$ in the base period. What should his salary in the current period for his standard of living to remain the same? Given $\sum W = 25$ and $\sum IW = 3544$.

3913

Find the Paasche's index number for prices from the followingCommodity | Base Year | Current Year| P | Q | P | QA | 1 | 6 | 3 | 5B | 3 | 5 | 8 | 5C | 4 | 8 | 10 | 6

3914

The simple index number for the current year using simple aggregate method for the following dataCommodity | Base year Price (P0) | Current Year Price (P1)Wheat | 80 | 100Rice | 100 | 150Gram | 120 | 250Pulses | 200 | 300

3915

The cost-of-living index number in year $2015$ and $2018$ were $97.5$ and $115$ respectively. The salary of CA Jitendra in $2015$ was $195000$. How much additional salary was required for him in $2018$ to maintain the same standard of living as in $2015$?

3916

Consumer Price Index Number goes up from $100$ to $200$ and salary of a worker is also raised from $300$ to $500$, then Real Wage is

3917

In the data group, Bowley's and Laspeyre's index number is as follows. Bowley's index number is $150$, Laspeyre's index number is $180$ then Paasche's index number is

3918

The prices and quantities of $3$ commodities in base and current years are as follows:$P_0$ | $P_1$ | $Q_0$ | $Q_1$12 | 14 | 10 | 2010 | 8 | 20 | 308 | 10 | 30 | 10The Laspeyre's Price Index Number is:

3919

The cost of living index number in year $2015$ and $2018$ were $97.5$ and $115$ respectively. The salary of a worker in $2015$ was $195000$. How much additional salary was required for him in $2018$ to maintain the same standard of living as in $2015$?

3920

From the following data constructed the index number by Laspeyre's method$\sum P_1 Q_0 = 100$, $\sum P_0 Q_0 = 86$,$\sum P_1 Q_1 = 83$, $\sum P_0 Q_1 = 106$

3921

If Fisher's index is $150$ and Paasche's Index is $144$, then Laspeyre's index is

3922

If Laspeyres index is A and Fisher's index is B. Find the value of Paasche's index?

3923

$\sum P_1 Q_0 = 1360$, $\sum P_0 Q_0 = 1900\displaystyle \sum P_1 Q_1 = 1344$, $\sum P_0 Q_1 = 1880$ then the Laspeyres Index number is

3924

If Laspeyres Index number is $250$ and Paasches Index number is $160$, then Fishers Index number

3925

If $\sum P_1 Q_1 = 249$, $\sum P_0 Q_0 = 150$ Paasche's Index Number $= 150$ and Dorbish and Bowley's Index Number $= 145$, then the Fisher's Ideal Index Number is

3926

If the $2018$ index with base $2015$ is $250$ and $2015$ index with base $2012$ is $150$, the index $2018$ on base $2012$ will be?

3927

In $2017$ the average price of a commodity was $20\%$ more than in $2016$ but $20\%$ less than in $2015$; and more over it was $50\%$ more than in $2018$ to price relatives using $2016$ as base ($2016$ price relative $100$) deduce the data is:

3928

From the following dataGroup | A | B | C | D | E | FGroup Index | 120 | 132 | 98 | 115 | 108 | 95Weight | 6 | 3 | 4 | 2 | 1 | 4The general Index (I) is given by:

3929

Consumer price index number goes up from $110$ to $200$ and the salary of a worker is also raised from $7,000$ to $12,000$. Therefore, in real terms to maintain his previous standard of living he should get an additional amount of -

3930

In the data group, Bowley's and Laspeyre's index number is as follows. Bowley's Index number $= 150$, Laspeyre's index number $= 180$ then Paasche's index number is:

3931

Monthly salary of an employee was $10,000$ in the year $2010$ and it was increased to $22,000$ in the year $2023$ while the consumer price index number is $250$ in year $2023$ with the base year $2010$, what should be his salary in comparison of consumer price index in the year $2023$ salary?

3932

The consumer price index in $1980$ increases by $80$ per cent as compared to the base $1980$. A person in $1980$ getting $60,000$ per annum should now get

3933

If $\sum P_0Q_0 = 1360$, $\sum P_nQ_0 = 1900$, $\sum P_0Q_n = 1344$, $\sum P_nQ_n = 1880$, then the Laspeyres's Index number is

3934

The index number of prices at a place in 2008 is 355 with 2003 as base. This means -

3935

$\sum P_0Q_0 = 1360$, $\sum P_nQ_0 = 2000$, then the Laspeyres Index number is:

3936

If the index number of prices at a place in 2018 is 280 with 2008 as base year, then the prices have increased on average by

3937

In 1980, the net monthly income of the employee was $\text{₹ } 800/-$ p. m. The consumer price index number was 160 in 1980. It rises to 200 in 1984. If he has to be rightly compensated. The additional D. A. to be paid to the employee is

3938

Consumer price index number goes up from 110 to 200 and the Salary of a worker is also raised from $\text{₹ } 325$ to $\text{₹ } 500$. Therefore, in real terms, to maintain his previous standard of living he should get an additional amount of:

3939

The prices of a commodity in the year 1975 and 1980 were 25 and 30 respectively taking 1980 as base year the price relative is :

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