Practice Test


1) The price relative for the year 1998 with 1989 = 100 is 105, while the price relative for 1998 with 1993 = 100 is 140. Find the price relative for 1993 with 1989 = 100.


2) The amounts spent on 5 components of a product are 30%, 20%, 20%, 15% and 15% respectively, by what per cent will the cost of the product increase ?


3) Index number is a _______ measure.


4) ________ values serves as the standard point of comparison.


5) Index number measures relative changes in a group from


6) Index numbers are broadly classified as :


7) Simple index numbers are used when weights are equal :


8) Points to be kept in mind while constructing index numbers are :


9) The different types of Base are :


10) Beat method of averaging relatives is :


11) Base period should be one of relative stability :


12) The most important criteria has to be considered while constructing index numbers is :


13) Price relative is defined as :


14) Link relative is defined as :


15) Value relative is defined as :


16) Quantity relative is defined as :


17) Price relatives are pure numbers.


18) The formula for index number using simple aggregative method is :


19) Price index numbers calculated from relatives will differ with change in the units in which the prices are equated.


20) Out of the drawback of simple average of relatives method is :


21) Laspeyre's method is a type of :


22) Fisher ideal price index number is ________ laspeyre's & paasche's index number


23) Dorbish Bowley price index number is __________ of laspeyre's & paasche's index number.


24) Simple average of relative method is defined as :


25) Laspeyre's price index number is defined as :


26) Paasche's price index number :


27) Marshal Edgeworth Price index number is defined as :


28) Fisher's index no. is defined as :


29) In weighted aggregative index method the average used is :


30) Weighted average of relative method is defined :


31) For the purpose of chain index number _________ is used


32) Chain index no. is defined as :


33) Link relative of the first year is taken as :


34) Chain index no. of first year is taken as :


35) Chain index number and fixed base index number are equal when _______ commodity/ commodities is/ are considered.


36) Price index number are used to measure :


37) Quantity index number are used to measure :


38) Simple aggregate quantity index number is defined as :


39) Fisher's ideal quantity index is :


40) Paasche's quantity index number is :


41) Laspeyre's quantity index number is


42) The simple average of relative quantity index is :


43) Value index number is ________.


44) Use of index number are :


45) Index number depicts broad trend and not the real picture.


46) For finding real GNP from GNP at current price the concept of _______ is used.


47) Shifting price index =


48) For combining two index numbers series with different base year the concept of _______ is used.


49) Deflation value =


50) There are 3 tests of adequacy :


51) The test of adequacy are :


52) If the formula is independent of the units of measurement of the factors used for finding index number then _________ test is satisfied.


53) Factor reversal test is satisfied when :


54) Time reversal test is satisfied when :


55) Circular test is satisfied when :


56) Unit test is not satisfied by :


57) Laspeyre's method satisfies Time Reversal Test.


58) Time Reversal Test is satisfied by :


59) Fishers method satisfies :


60) Laspeyre's method satisfies :


61) Laspeyre, Paasche & Fishers method do not satisfies :


62) Circular test is satisfies by :


63) Circular tests :


64) Factor reversal test is satisfied


65) The price (p) is replaced by quantity (q) & the quantity (q) is replaced by price (p) then it is case of _______ test.


66) When base year price & quantities are suffixed by "0" & current year by "1" then "0" is replaced by "1" & "1" is replaced by "0" incase of :


67) Value index number is defined as :


68) Cost of living index number is defined is :


69) Cost of living index number is defined is :


70) If the prices of all the commodities in the current year has increased by 1.5 times compared to the base period price, then the price index no. for the current year is :


71) If the prices of all the commodities in the current year has decreased by 30% compared to the base period price, then the price index no. for the current year is :


72) Purchasing power of money is :


73) If the price of gold was 20% more in 2006 as compared to 2005 but 20% less than that in 2004 and 50% more than that in 2007, then find the price relative using 2005 as base year for the years 2004 and 2007.


74) The cost of living index no. is 130 the eduction price index is 120 and the other items index no. is 140. The percentage of total weight that is applicant for eduction is :


75) The cost of entertainment increased by 60%, the person who maintained his former lifestyle experienced a 5% increase in his cost of living. Before the change in price, the percentage of his cost of living due to entertainment is :


76) An index was at 100 in 1999. It rises by 5% in 2000, falls 6% in 2001, falls 5% in 2002, rises 4% in 2003 and rises 7% in 2004. Calculate index numbers for all these years with 1999 as base year.


77) Geometric mean of index number of Laspeyre and Paasche's is 229.5648, while the sum of Laspeyre and Paasche's index number is 480. Find out Laspeyre and Paasche indices.


78) The index number is unit free. Is it true ?


79) If 425 and 120 are respectively the price and quantity index nos. for the year 2000 satisfying the factor reversal test, find the expenditure during the year 2000, given that expenditure during the base year was Rs.80.


80) The earnings of worker in 1994 was Rs.1,000 and that in 2000 was Rs.1200. if the index number for the two years were 334 and 499 respectively, what was the percentage increase/ decrease in his earnings over this period according to 1994 index number ?


81) In 2001 the price of an item A increased by 25% and that of B by 50% as compared to the price in 1991. the price of C was doubled and that of D remained steady. The index number of all the four items taken together was 140 in 2001 with 1991 as the base year. If the sum of weights of all the items is 10 and if the weights of B,C and D are equal, find the weights of the items.


82) If the price index no. of 2006 is 225 with base year 2000 then price have increased or an average by :


83) The first application of probability was done in :


84) Initially probability was a branch of


85) Now probability is an integral part of


86) The two divisions of probability are


87) Subjective probability is based on


88) Subjective probability is used in the field of


89) An experiment is said to be Random experiment if


90) The result of an experiment is called


91) The two types of events are :


92) The events which can be decomposed into two or more events is called :


93) Two events A and B are said to be incompatible when :


94) A and B are called exhaustive events when :


95) Two events A and B are called mutually symmetric events :


96) The limitation of Priori definition of probability is :


97) Classical definition is used in case of tossing coin, throwing dice, etc.


98) Odds in favour of events are 5:4. Therefore probability of that events is :


99) The probability of an event is 9/16. Therefore odds against an event is :


100) A and A' are mutually exclusive events


101) A is called a sure event when


102) A is an impossible events when


103) A coin is tossed 2 times. The odds against at least 1 head is :


104) A' =


105) A = {1, 2, 3}; B = {2, 3, 4, 5}. Therefore A - B =


106) P (A or B) = ________ when A and B are mutually exclusive.


107) A and B are independent events. Therefore A and B are also independent event


108) Value assigned to Random variable is from the set of :


109) Number of misprints, number of tyre bursting, etc. are example of :


110) Height, Marks, Age are example of :


111) If x and y are 2 random variable having expected value 7 and 5 respectively the expected value of E (x + y)


112) The probability of getting score 5 at least once when the die is thrown thrice :


113) The odds of in favour of getting a king card when a card is drawn from the pack :


114) When two coin are tossed simultaneously then the probability of getting almost one head is :


115) For a random variable x its variance is 5 then variance for ( -3x + 7) is :


116) The expected value of a random variable is always :


117) When 2 dice are thrown the probability of getting the sum of the score as a perfect square is


118) The odds in favour of one student passing at a test are 3 : 7. The odds against another student passing at are 3 : 5. What are the odds that both fail ?


119) The odds in favour of one student passing at a test are 3 : 7. The odds against another student passing at are 3 : 5. What are the odds that only the 2nd student passes ?


120) A salesman is known to sell a product in 3 out of 5 attempts, while another salesman in 2 out of 5 attempts. Find the probability that no sale will be affected when they both try to sell the product.


121) A salesman is known to sell a product in 3 out of 5 attempts, while another salesman in 2 out of 5 attempts. Find the probability that either of them will succeed in selling the product.


122) Two different digits are selected at random from digits 1, 2, .........., 9. If the sum is odd, what is the probability that 2 is one of the digits selected ?


123) A committee of 4 people is to be appointed from 3 officers of the production department, 4 officers of the purchase department, 2 officers of the sales department and 1 charted accountant. Find the probability of forming the committee in which there must be one from each category.


124) A committee of 4 people is to be appointed from 3 officers of the production department, 4 officers of the purchase department, 2 officers of the sales department and 1 charted accountant. Find the probability of forming the committee in which it should have at least one from the purchase department.


125) A committee of 4 people is to be appointed from 3 officers of the production department, 4 officers of the purchase department, 2 officers of the sales department and 1 charted accountant. Find the probability of forming the committee where the chartered accountant must be in the committee.


126) Two sets of candidates are competing for the position on the Board of Directors of a company. The probability that first and second set will win are 0.6 and 0.4 respectively. If the first set wins, the probability of introducing a new product is 0.8 and the corresponding probability if the second set win is 0.3. What is the probability that the new product will be introduced ?


127) A and B choose a digit at random from 0, 1, 2,………,9 independently. Find the probability that the product of the two digits chosen is zero.


128) A problem is statistics is given to two students A and B. The odds in favour of A solving the problem are 6 to 9 and against B solving the problem are 12 to 10. If A and B attempt, find the probability of the problem being solved.


129) Suppose that it is 11 to 5 against a person who is now 38 years of age living till he is 73 and 5 to 3 against now 43 living till he is 78 years. Find the chance that at least one of these persons will be alive 35 years hence.


130) Two cards are drawn from a pack of 52 cards at random and kept out. Them one card is drawn from the remaining 50 cards. Find the probability that it is ace.


131) A committee of 4 persons is to be appointed from 7 men and 3 women, what is the probability that the committee contains exactly two women.


132) A person is known to hit a target in 5 out of 8 shots, whereas another person is known to hit it in 3 out of 5 shots. Find the probability that the target is not hit at all when they both try.


133) A person throws an unbiased die. If the number shown is even, he gains an amount equal to the number shown. If the number is odd, he loses an amount equal to the number shown, find his expectation.


134) A service station manager sells gas at an average of $100 per day on a rainy day, $150 on a ‘dubious day’, $250 on a fair day, and $300 on a clear day. If weather bureau Statistics show the probabilities of weather as follows, find his mathematical expectation :
Clear 0.50
Fair 0.30
Dubious 0.15
Rainy 0.05


135) A die tossed twice. If it shows the same number twice, Gopal gets Rs.100 otherwise he loses Rs.5. What is his mathematical expectation ?


136) A player tosses three fair coins. He wins Rs.8 if 3 heads occur, Rs.3 if 2 heads occur and Re.1 if only 1 head occurs. If the game is to fair, how much would he lose if no heads occur ?


137) A person tosses two coins simultaneously. He receives Rs.8 for two heads, Rs.2 for one head and he is to pay Rs.6 for no head. Find his expectation.


138) A man draws 2 balls from a bag containing 3 white and 5 black balls. If he is to receive Rs.14 for every white ball and Rs.7 fore every black ball drawn, what is his expectation ?


139) 5000 tickets are sold in a lottery in which there is a first prize of Rs.10000, two second prizes of Rs.2000 each and 10 third prizes of Rs.200 each. One ticket cost Rs.2. find the expected net gain or loss if you buy one ticket ?


140) A player tosses 3 coins. He wins Rs.20 if all the three coins show head, Rs.10 if 2 coins show heads and Rs.5 if one head appears. If no head appears, he loses Rs.4. find his expectation.


141) The probability that there is at least one error in an accounts statement prepared by A is 0.2 and for B and C, they are 0.25 and 0.4 respectively.
A, B and C prepared 10, 16 and 20 statements respectively. Find the expected number of correct statements in all.


142) The probability that a man fishing at a particular place will catch 1, 2, 3 and 4 fish are 0.1, 0.3, 0.2 and 0.4 respectively. What is the expected number of fish caught ?


143) A petrol pump proprietor sells an average of Rs.80000 petrol on rainy days and an average of Rs.95000 on clear days. Statistics from the Meteorological Department show that the probability is 0.76 for clear weather and 0.24 for rainy weather on coming Monday. Find the expected value of petrol sale.


144) A wheel of fortune at an amusement park is divided into five colours: red, blue, green, yellow, brown. The probabilities of the spinner landing in any of these colours are 3/10, 3/10, 2/10, 1/10, 1/10 respectively. A player can win Rs.5 if it stops on red, Rs.3 if it stops on blue, Rs.4 if it stops on green and lose Rs.2 if it stops on yellow and Re.1 if it stops on brown. Meena wants to try her luck. What is her mathematical expectation ?


145) If the probability that a man wins a prize of Rs.10 is 3/5 and the probability that he wins nothing is 2/5, find the mathematical expectation ?


146) Calculate the expected value of, the sum of X, the score when two dice are rolled.


147) An investment consultant predicts that the odds against the price of a certain stock going up are 2 : 1 and the odds in favour of the price remaining the same are 1 : 3. what is the probability that the price of the stock will go down ?


148) What is the probability that a leap year selected at random will contain either 53 Thursday's or 53 Friday's ?


149) From a well shuffled pack of 52 cards, two are drawn at random. What are the odds against they being a king and an ace ?


150) A chartered accountant applies for a job in two firms X and Y, he estimates that the probability of his being selected in firm X is 0.7 and being selected at, Y is 0.5 and the probability of at least one of his applications being rejected is 0.6. What is the probability that he will be selected in one of the firms ?


151) There are 4 letters and 4 addressed envelopes. Find the chance that all letters are not dispatched in the right envelopes.


152) A certain player X is known to win with probability 0.3 if the track is fast and 0.4 if the track is slow. For Monday, there is a 0.7 probability of a fast track and 0.3 probability of a slow track. What is the probability that the player X will win on Monday ?


153) A pair of dice is thrown and sum of the numbers on the two dice is observed to be 6. what is the probability that there is 2 on one of the dice ?


154) A die is so biased that it is twice as likely to show an even number as an odd number when thrown. It is thrown twice. What is the probability that sum of the two numbers shown is even ?


155) An urn contains 10 counters on which digits 0, 1, 2, .......... 9 are written one digit on each counter, no digit being repeated.
A chooses a counter first and then B chooses another counter (the first is not replaced). Find the probability that the product of the two digits chosen in zero.


156) There are four hotels in a certain town. If 3 men check into hotels in a day, what is the probability that each check into a different hotels ?


157) Two different digits are selected at a random from the digits 1,2, .......... 9. If the sum is odd what is the probability that 2 is one of the digits selected ?


158) It is known that 40% of the students in a certain college are girls and 50% of the students are above the median height. If 2/3 of the boys are above the median height, what is the probability that a randomly selected student who is below the median height is a girl ?


159) Four digits 1, 2, 4 and 6 are selected at random to form a four digit number. What is the probability that the number so formed, would be divisible by 4 ? (Repetition is allowed)


160) Anita and Binita stand in a line with 7 other people. What is the probability that there are 4 persons between them ?


161) Out of 80 students in a class, 30 passed in Mathematics, 20 passed in Statistics and 10 passed in both. One student is selected at random. Find the probability that he has passed at least in one of the subjects.


162) Out of 80 students in a class, 30 passed in Mathematics, 20 passed in Statistics and 10 passed in both. One student is selected at random. Find the probability that he has passed none of the above subjects


163) Out of 80 students in a class, 30 passed in Mathematics, 20 passed in Statistics and 10 passed in both. One student is selected at random. Find the probability that he has passed only in Maths.


164) Out of 80 students in a class, 30 passed in Mathematics, 20 passed in Statistics and 10 passed in both. One student is selected at random. Find the probability that he has passed only in Statistics.


165) Out of 80 students in a class, 30 passed in Mathematics, 20 passed in Statistics and 10 passed in both. One student is selected at random. Find the probability that he has passed exactly in one of the subjects.


166) Which of the following is an example of time series problem? (i) Estimating number of hotel rooms booking in next 6 months. (ii) Estimating the total sales in next 3 years of an insurance company. (iii) Estimating the number of calls for the next one week.


167) Which of the following is not an example of a Time Series Model?


168) Which of the following cannot be a component for a Time Series Plot?


169) Which of the following is relatively easier to estimate in time series modeling?


170) Smoothing parameter close to one gives more weight or influence to recent observations over the forecast.


171) Sum of weights in exponential smoothing is _____.


172) The last period's forecast was 70 and demand was 60. What is the simple exponential smoothing forecast with alpha of 0.4 for the next period.


173) Which of the following is not a necessary condition for weakly stationary time series?


174) Which of the following is not a technique used in smoothing time series?


175) If the demand is 100 during October 2017, 200 in November 2017, 300 in December 2017, 400 in January 2018. What is the 3 - month simple moving average for February 2018?


176) Suppose, you are a data scientist at Analytics Vidhya. And you observed the views on the articles increases during the month of Jan-Mar. Whereas the views during Nov-Dec decreases. Does the above statement represent seasonality?


177) Second differencing in time series can help to eliminate which trend?


178) In a time-series forecasting problem, if the seasonal indices for quarters 1, 2, and 3 are 0.80, 0.90, and 0.95 respectively. What can you say about the seasonal index of quarter 4?


179) An orderly set of data arranged in accordance with their time of occurrence is called:


180) A time series consists of:


181) Secular trend can be measured by:


182) The secular trend is measured by the method of semi-averages when:


183) Increase in the number of patients in the hospital due to heat stroke is:


184) In time series seasonal variations can occur within a period of:


185) Wheat crops badly damaged on account of rains is:


186) The method of moving average is used to find the:


187) A complete cycle passes through:


188) Most frequently used mathematical model of a time series is:


189) A time series consists of:


190) In a straight line equation Y = a + bX; a is the:


191) In a straight line equation Y = a + bX; b is the:


192) Value of b in the trend line Y = a + bX is:


193) In semi averages method, we decide the data into:


194) In fitting a straight line, the value of slope b remain unchanged with the change of:


195) Moving average method is used for measurement of trend when:


196) When the trend is of exponential type, the moving averages are to be computed by using:


197) Indicate which of the following an example of seasonal variations is:


198) The most commonly used mathematical method for measuring the trend is:


199) A trend is the better fitted trend for which the sum of squares of residuals is:


200) Decomposition of time series is called:


201) The fire in a factory is an example of:


202) Increased demand of admission in the subject of computer in Pakistan is:


203) Damages due to floods, droughts, strikes fires and political disturbances are:


204) The general pattern of increase or decrease in economics or social phenomena is shown by:


205) In moving average method, we cannot find the trend values of some:


206) The best fitting trend is one which the sum of squares of residuals is:


207) In fitting of a straight line, the value of slope remains unchanged by change of:


208) Depression in business is:


209) In fitting of straight line = 0


210) Semi-averages method is used for measurement of trend when:


211) Moving-averages:


212) The rise and fall of a time series over periods longer than one year is called:


213) A time series has:


214) The multiplicative time series model is:


215) The additive model of the time series is:


216) The difference between the actual value of the time series and the forecasted value is called:


217) A pattern that is repeated throughout a time series and has a recurrence period of at most one year is called:


218) The straight line is fitted to the time series when the movements in the time series are:


219) If an annual time series consisting of even number of years is coded, then each coded interval is equal to:


220) For odd number of year, formula to code the values of X by taking origin at centre is:


221) For even number of years when origin is in the centre and the unit of X being one year, then X can be coded as:


222) For even number of years when origin is in the centre and the unit of X being half year, then X can be coded as:


223) In semi averages method, if the number of values is odd then we drop:


224) The trend values in freehand curve method are obtained by:


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


226) A ratio or an average of ratios expressed as a percentage is called


227) The index number is a special type of


228) Index nos. show _____ changes rather than absolute amounts of change.


229) An index time series is a list of _____ numbers for two or more periods of time.


230) _____ is a point of reference in comparing various data describing individual behaviour.


231) Index number for the base period is always taken as


232) The value at the base time period serves as the standard point of comparison.


233) The choice of suitable base period is at best temporary solution.


234) The ratio of price of single commodity in a given period to its price in another period is called the


235) The purpose determines the type of index no. to use


236) Identify False Statements


237) When the prices are decreased by 30% then the index number is now


238) Index numbers are often constructed from the


239) Index numbers are used in


240) _____ play a very important part in the construction of index nos.


241) The best average for constructing an index numbers is


242) Theoretically, GM is the best average in the construction of index nos but in practice, mostly the AM is used


243) The _____ makes index numbers time-reversible.


244) The _____ of group indices gives the grammatical.


245) Price relative is equal to


246) Index number is equal to


247) Price-relative is expressed in term of


248) One big advantage of _____ is that they are pure numbers.


249) We use price index numbers


250) To measure the economic strength _____ are widely used.


251) Purchasing power of money is


252) For computing a price index _____ method is used.


253) The cost of living Index (CLI) is always:


254) Cost of living Index (C.L.I.) numbers are also used to find real wages by the process of


255) Cost of living index number (C.L.I) is expressed in terms of:


256) Factor reversal test is:


257) Simple aggregate of quantities is a type of


258) For constructing consumer price index _____ is used:


259) The aggregate index formula using base period quantities is called


260) Laspeyre's index is based on


261) Weighted average of price relatives index using base year quantities as weights is called


262) Paasche's index is based on


263) Paasche's index number is expressed in terms of


264) Marshall Edge worth index formula after interchange of p and q is impressed in terms of:


265) The result obtained by Marshall-Edgeworth method is closest to


266) Bowley's Index number is expressed in terms of:


267) Fisher's ideal index is


268) Fisher's ideal index number is expressed in terms of:


269) The index used to measure changes in total money value is called


270) The value index is equal to:


271) The value Index is expressed in terms of


272) The Index No. of Weighted Average of Price Relatives is represented by


273) Link Relative Index Numbers is expressed for period n is


274) Chain index is equal to


275) The formula for conversion for deflated value is


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


277) Weighted GM of relative formula satisfies _____ test.


278) Time reversal test is satisfied when


279) When the product of price index and the quantity index is equal to the corresponding value index then which of the following test is satisfied


280) The factor Reversal test is represented symbolically as:


281) Factor Reversal test according to Fisher is


282) _____ is concerned with the measurement of price changes over a period of years, when it is desirable to shift the base.


283) The test of shifting the base is called


284) The Circular test is an extension of


285) In a circular test the condition must be satisfied


286) The simple Aggregative formula and weighted aggregative formula satisfy the


287) Circular test is met by


288) Circular test is not met by


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


290) Fisher's Ideal formula for calculating index nos. satisfies the _____ tests.


291) Laspeyre's or Paasche's or the Fisher's ideal index do not satisfy


292) The time reversal test is satisfied by _____ index number.


293) The factor reversal test is satisfied by


294) Time reversal test is satisfied by following index number formula is


295) Identify False Statements


296) "Neither Laspeyre's formula nor Paasche's formula obeys"


297) The quantity index number using Fisher's formula satisfies:


298) Time Reversal test is satisfied by:


299) Factor reversal test is satisfied by


300) Fisher's ideal formula does not satisfy _____ test.


301) Circular test is satisfied by


302) Both the time and factor reversal tests are satisfied by


303) A good index number is one that satisfies


304) Identify the correct statement.


305) Which of the following is not correct?


306) Identify False Statements


307) Identify False Statements


308) Identify False Statements


309) Which of the following statement is true?


310) If with a rise of 10% in prices the wages are increased by 20% the real wage increase by


311) If the prices of all commodities in a place have increased 1.25 times in comparison to the base period, the index number of prices of that place is now


312) If the index number of prices at a place in 1994 is 250 with 1984 as base year, then the prices have increased on average


313) If the prices of all commodities in a place have decreased 35% over the base period prices, then the index number of prices of that place is now


314) Consumer Price Index number for the year 1957 was 313 with 1940 as the base year 96 the Average Monthly wages in 1957 of the workers into factory be Rs. 160 their real wages is


315) The price relative for the year 1986 with reference to 1985 is 120. What is the percent the price increased in 1986 over 1985 is


316) With the year 1960 as the base the Cost of Living Index in 1972 stood at 250. X was getting a monthly salary of Rs. 500 in 1960 and Rs. 750 in 1972. In 1972 to maintain his standard of living as in the year 1960, the extra allowance received by X


317) In 1980, the net monthly income of the employee was Rs. 800 p.m. The consumer price index number was 160 in 1980. It rises to 200 in 194. If he has to be rightly compensated. The additional DA to be paid to the employee is


318) The Index number in whole sale prices is 152 for August 1999 compared to August 1998. During the year there is net increase in prices of whole sale commodities to the extent of


319) The price level of a country in a certain year has increased 25% over the base period. The index number is


320) The index number of prices at a place in 1998 is 355 with 1991 as base. This means


321) In 2005, Price Index is 286% with base 1995. Then how much price increased in 2005 with base 1995?


322) If the prices of all commodities in a place have increased 125 times in comparison to the base period prices, then the index number of prices for the place is now


323) The whole sale price index number or agricultural commodities in a given region at a given date is 280. The percentage use in prices of agricultural commodities over the base period is:


324) If now the prices of all the commodities in a place have been decreased by 85% over the base period prices, then the index number of prices is now (index number of prices of base period = 100)


325) If the 1970 index with base 1965 is 200 and 1985 index with base 1960 is 150, the index 1970 on base 1960 will be:


326) In 1996 the average price of a commodity was 20% more than in 1995 but 20% less than in 1994; and more over it was 50% more than in 1997 to price relatives using 1995 as base (1995 price relative 100) Reduce the data is:


327) The price of a commodity increases from Rs. 5 per unit in 1990 to Rs. 7.50 per unit in 1995 and the quantity consumed decreases from 120 units in 1990 to 90 units in 1995. The price and quantity in 1995 are 150% and 75% respectively of the corresponding price and quantity in 1990. Therefore, the product of the price ratio and quantity ratio is:


328) Consumer price index number goes up from 110 to 200 and the Salary of a worker is also raised from Rs. 325 to Rs. 500. Therefore, in real terms he has no gain, to maintain his previous standard of living he should get an additional amount is:


329) 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:


330) In 1976 the average price of a commodity was 20% more than that in 1975 but 20% less than that in 1974 and more over it was 50% more than that in 1977. The price relatives using 1975 as base year (1975 price relative = 100) then the reduce date is:


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


332) During a certain period the cost of living index number goes up from 110 to 200 and the salary of a worker is also raised from Rs. 325 to Rs. 500. The worker does not get really gain. Then the real wages decreased by:


333) Net monthly salary of an employee was Rs. 3000 in 1980. The consumer price index number in 1985 is 250 with 1980 as base year. If he has to be rightly compensated, the additional DA to be paid to the employee is:


334) Net monthly income of an employee was Rs. 800 in 1980. The consumer price Index number was 160 in 1980. It rises to 200 in 1984. If he has to be rightly compensated, the additional DA to be paid to the employee is:


335) The total value of retained imports into India in 1960 was Rs. 71.5 million per month. The corresponding total for 1967 was Rs. 87.6 million per month. The index of volume of retained imports in 1967 composed with 1960 (= 100) was 62.0. The price index for retained inputs for 1967 our 1960 as base is


336) During the certain period the CLI goes up from 110 to 200 and the Salary of a worker is also raised from 330 to 500, then the loss in real terms is


337) If the price of all commodities in a place have increased 125 times in comparison to the base period prices, then the index number of prices for the place is now


338) The average price of certain commodities in 1980 was Rs. 60 and the average price of the same commodities in 1982 was Rs. 120. Therefore, the increase in 1982 on the basis of 1980 was 100%. The decrease should have been 100% in 1980 using 1982, comment on the above statement is:


339) The index number of prices at a place in 1998 is 355 with 1991 as base. This means


340) If now the prices of all the commodities in a place have been decreased by 85% over the base period prices, then the index number of prices for the place is now (index number of prices of base period = 100)


341) If with a rise of 10% in prices the salaries are increased by 20%, the real salary increase is by


342) The price level of a country in a certain year has increased 20% over the base period. The Index number is _____


343) If with rise of 10% in prices the wages are increased by 20%. Find the percentage of real wage increase


344) If the price index for the year, say 1960 be 110.3 and the price index for the year, say 1950 be 98.4. Then the purchasing power of money (Rupees) of 1950 will be of 1960 is


345) When the cost of Tobacco was increased by 50%, a certain hardened smoker, who maintained his formal scale of consumption, said that the rise had increased his cost of living by 5%. Before the change in price, the percentage of his cost of living was due to buying Tobacco is


346) The consumer price index for April 1985 was 125. The food price index was 120 and other items index was 135. The percentage of the total weight of the food grains in the index is -


347) Bowley's Index Number = 150, Laspeyer's Index = 180, then Paasche's Index Number is -


348) Consumer Price index number for the year 1957 was 313 with 1940 as the base year. The Average Monthly wages in 1957 of the workers in to factory be Rs. 160/- their real wages is:


349) Which is called an ideal index number


350) In semi averages method, if the number of values is odd then we drop:


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


352) The cost of living index numbers in year 2015 and 2018 were 97.5 and 115 respectively. The salary of worker in 2015 was Rs.19,500. How much additional salary was required for him in 2018 to maintain the some standard of living as in 2015?


353) Trend in semi averages is:


354) The most commonly used mathematical method for finding secular trend is:


355) When sale of cold drink increases in summer and decrease in winters is an example of?


356) Seasonal variations takes place within:


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


358) Indexed Numbers are expressed as


359) In Laspeyr's index number is 110 and Fisher's ideal index number is 109. Then Paasche's index number is


360) The cost of living index is always


361) 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.


362) 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 1 which refers to irregular variation is:


363) 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?


364) The weighted averaged of price relatives of commodities, when the wights are equal to the value of commodities in the current year, yields_________Index number.


365) Index numbers are not helpful in


366) The three index numbers, namely, Laspeyre, Paasche and Fisher do not satisfy________test.