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jar a has X% more marbles than jar b . what percent of marbles from jar a need to be moved into jar b so that both jars have equal marbles ?
If the answer to the question is 2.8 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. few C. none D. small amount | B | jar a has 6 % more marbles than jar b . what percent of marbles from jar a need to be moved into jar b so that both jars have equal marbles ? | "an easy way to solve this question is by number plugging . assume there are 100 marbles in jar b then in jar a there will be 106 marbles . now , for both jars to have equal marbles we should move 3 marbles from a to b , which is 3 / 106 = ~ 2.8 % of a . answer : a ." |
a tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride . the proportion of sodium chloride in the tank is X% by volume and the capacity of the tank is 24 gallons . if the water evaporates from the tank at the rate of 0.5 gallons per hour , and the amount of sodium chloride stays the same , what will be the concentration of water in the mixture in 4 hours ?
If the answer to the question is 40 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. some C. moderate amount D. all | C | a tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride . the proportion of sodium chloride in the tank is 40 % by volume and the capacity of the tank is 24 gallons . if the water evaporates from the tank at the rate of 0.5 gallons per hour , and the amount of sodium chloride stays the same , what will be the concentration of water in the mixture in 4 hours ? | "the number of gallons in the tank is ( 1 / 4 ) 24 = 6 gallons the amount of sodium chloride is 0.4 ( 6 ) = 2.4 gallons at the start , the amount of water is 0.6 ( 6 ) = 3.6 gallons after 4 hours , the amount of water is 3.6 - 0.5 ( 4 ) = 1.6 gallons the concentration of water is 1.6 / ( 2.4 + 1.6 ) = 40 % the answer is a ." |
there are 1000 students in a school and among them X% of them attends chess class . 10 % of the students who are in the chess class are also enrolled for swimming . no other students are interested in swimming so how many will attend the swimming class if all enrolled attends ?
If the answer to the question is 30, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. most C. tiny amount D. moderate amount | D | there are 1000 students in a school and among them 30 % of them attends chess class . 10 % of the students who are in the chess class are also enrolled for swimming . no other students are interested in swimming so how many will attend the swimming class if all enrolled attends ? | 30 % of 1000 gives 300 . so 300 attends chess and 10 % of 300 gives 30 . so 30 enrolled for swimming answer : d |
there are 1000 students in a school and among them 30 % of them attends chess class . X% of the students who are in the chess class are also enrolled for swimming . no other students are interested in swimming so how many will attend the swimming class if all enrolled attends ?
If the answer to the question is 30, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. few C. none D. all | B | there are 1000 students in a school and among them 30 % of them attends chess class . 10 % of the students who are in the chess class are also enrolled for swimming . no other students are interested in swimming so how many will attend the swimming class if all enrolled attends ? | 30 % of 1000 gives 300 . so 300 attends chess and 10 % of 300 gives 30 . so 30 enrolled for swimming answer : d |
a computer store offers employees a X% discount off the retail price . if the store purchased a computer from the manufacturer for $ 800 dollars and marked up the price 10 % to the final retail price , how much would an employee save if he purchased the computer at the employee discount ( 10 % off retail price ) as opposed to the final retail price .
If the answer to the question is 88, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. most C. some D. none | A | a computer store offers employees a 10 % discount off the retail price . if the store purchased a computer from the manufacturer for $ 800 dollars and marked up the price 10 % to the final retail price , how much would an employee save if he purchased the computer at the employee discount ( 10 % off retail price ) as opposed to the final retail price . | "cost price = 800 profit = 10 % = 10 % of 800 = 80 selling price = cp + profit sp = 880 a discount of 10 % to employees means 10 % off on 880 so 10 % of 880 = 88 ans b" |
a computer store offers employees a 10 % discount off the retail price . if the store purchased a computer from the manufacturer for $ 800 dollars and marked up the price X% to the final retail price , how much would an employee save if he purchased the computer at the employee discount ( 10 % off retail price ) as opposed to the final retail price .
If the answer to the question is 88, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. tiny amount C. moderate amount D. most | A | a computer store offers employees a 10 % discount off the retail price . if the store purchased a computer from the manufacturer for $ 800 dollars and marked up the price 10 % to the final retail price , how much would an employee save if he purchased the computer at the employee discount ( 10 % off retail price ) as opposed to the final retail price . | "cost price = 800 profit = 10 % = 10 % of 800 = 80 selling price = cp + profit sp = 880 a discount of 10 % to employees means 10 % off on 880 so 10 % of 880 = 88 ans b" |
a computer store offers employees a 10 % discount off the retail price . if the store purchased a computer from the manufacturer for $ 800 dollars and marked up the price 10 % to the final retail price , how much would an employee save if he purchased the computer at the employee discount ( X% off retail price ) as opposed to the final retail price .
If the answer to the question is 88, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. none C. few D. moderate amount | C | a computer store offers employees a 10 % discount off the retail price . if the store purchased a computer from the manufacturer for $ 800 dollars and marked up the price 10 % to the final retail price , how much would an employee save if he purchased the computer at the employee discount ( 10 % off retail price ) as opposed to the final retail price . | "cost price = 800 profit = 10 % = 10 % of 800 = 80 selling price = cp + profit sp = 880 a discount of 10 % to employees means 10 % off on 880 so 10 % of 880 = 88 ans b" |
exactly X% of the reporters for a certain wire service cover local politics in country x . if 25 % of the reporters who cover politics for the wire service do not cover local politics in country x , what percent of the reporters for the wire service do not cover politics ?
If the answer to the question is 80 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. tiny amount C. small amount D. most | C | exactly 15 % of the reporters for a certain wire service cover local politics in country x . if 25 % of the reporters who cover politics for the wire service do not cover local politics in country x , what percent of the reporters for the wire service do not cover politics ? | "let ' s assume there are 100 reporters - - > 15 reporters cover local politics . now , as 25 % of the reporters who cover all politics do not cover local politics then the rest 75 % of the reporters who cover politics do cover local politics , so if there are x reporters who cover politics then 75 % of them equal to 15 ( # of reporters who cover local politics ) : 0.75 x = 15 - - > x = 20 , hence 20 reporters cover politics and the rest 100 - 20 = 80 reporters do not cover politics at all . answer : d ." |
exactly 15 % of the reporters for a certain wire service cover local politics in country x . if X% of the reporters who cover politics for the wire service do not cover local politics in country x , what percent of the reporters for the wire service do not cover politics ?
If the answer to the question is 80 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. some C. most D. tiny amount | B | exactly 15 % of the reporters for a certain wire service cover local politics in country x . if 25 % of the reporters who cover politics for the wire service do not cover local politics in country x , what percent of the reporters for the wire service do not cover politics ? | "let ' s assume there are 100 reporters - - > 15 reporters cover local politics . now , as 25 % of the reporters who cover all politics do not cover local politics then the rest 75 % of the reporters who cover politics do cover local politics , so if there are x reporters who cover politics then 75 % of them equal to 15 ( # of reporters who cover local politics ) : 0.75 x = 15 - - > x = 20 , hence 20 reporters cover politics and the rest 100 - 20 = 80 reporters do not cover politics at all . answer : d ." |
two numbers are respectively X% and 20 % more than a third number . the percentage that is first of the second is ?
If the answer to the question is 125 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. none C. most D. moderate amount | D | two numbers are respectively 50 % and 20 % more than a third number . the percentage that is first of the second is ? | "i ii iii 150 120 100 120 - - - - - - - - - - 150 100 - - - - - - - - - - - ? = > 125 % answer : a" |
two numbers are respectively 50 % and X% more than a third number . the percentage that is first of the second is ?
If the answer to the question is 125 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. small amount C. some D. tiny amount | B | two numbers are respectively 50 % and 20 % more than a third number . the percentage that is first of the second is ? | "i ii iii 150 120 100 120 - - - - - - - - - - 150 100 - - - - - - - - - - - ? = > 125 % answer : a" |
a pair of articles was bought for $ 1000 at a discount of X% . what must be the marked price of each of the article ?
If the answer to the question is $ 555.55, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. none C. some D. few | D | a pair of articles was bought for $ 1000 at a discount of 10 % . what must be the marked price of each of the article ? | "s . p . of each of the article = 1000 / 2 = $ 500 let m . p = $ x 90 % of x = 500 x = 500 * 100 / 90 = $ 555.55 answer is a" |
what is X% of 2 / 3 of 0.5 ?
If the answer to the question is 0.05, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. moderate amount C. all D. small amount | D | what is 15 % of 2 / 3 of 0.5 ? | "the best way to solve these questions is to convert every term into fraction ( 15 / 100 ) * ( 2 / 3 ) * ( 5 / 10 ) = 150 / 3000 = 0.05 option a" |
a shopkeeper labeled the price of his articles so as to earn a profit of X% on the cost price . he then sold the articles by offering a discount of 10 % on the labeled price . what is the actual percent profit earned in the deal ?
If the answer to the question is 26 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. tiny amount C. moderate amount D. some | C | a shopkeeper labeled the price of his articles so as to earn a profit of 40 % on the cost price . he then sold the articles by offering a discount of 10 % on the labeled price . what is the actual percent profit earned in the deal ? | "explanation : let the cp of the article = rs . 100 . then labeled price = rs . 140 . sp = rs . 140 - 10 % of 140 = rs . 140 - 14 = rs . 126 . gain = rs . 126 â € “ rs . 100 = rs . 26 therefore , gain / profit percent = 26 % . answer : option a" |
a shopkeeper labeled the price of his articles so as to earn a profit of 40 % on the cost price . he then sold the articles by offering a discount of X% on the labeled price . what is the actual percent profit earned in the deal ?
If the answer to the question is 26 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. moderate amount C. few D. most | C | a shopkeeper labeled the price of his articles so as to earn a profit of 40 % on the cost price . he then sold the articles by offering a discount of 10 % on the labeled price . what is the actual percent profit earned in the deal ? | "explanation : let the cp of the article = rs . 100 . then labeled price = rs . 140 . sp = rs . 140 - 10 % of 140 = rs . 140 - 14 = rs . 126 . gain = rs . 126 â € “ rs . 100 = rs . 26 therefore , gain / profit percent = 26 % . answer : option a" |
during a thanksgiving weekend , a car rental company rented 6 - tenths of their vehicles , including two - fifths of the 4 wds that it had . if X% of the vehicles are 4 wds , then what percent of the vehicles that were not rented were not 4 wds ?
If the answer to the question is 40 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. moderate amount C. small amount D. none | B | during a thanksgiving weekend , a car rental company rented 6 - tenths of their vehicles , including two - fifths of the 4 wds that it had . if 40 % of the vehicles are 4 wds , then what percent of the vehicles that were not rented were not 4 wds ? | 4 / 10 of all the vehicles were not rented . ( 3 / 5 ) ( 2 / 5 ) = 6 / 25 of all the vehicles are 4 wds that were not rented . ( 6 / 25 ) / ( 4 / 10 ) = 3 / 5 is the fraction of non - rented vehicles that were 4 wds 1 - 3 / 5 = 40 % of non - rented vehicles were not 4 wds . the answer is c . |
mr . jones gave X% of the money he had to his wife . he also gave 20 % of the remaining amount to his 3 sons . and half of the amount now left was spent on miscellaneous items and the remaining amount of rs . 12000 was deposited in the bank . how much money did mr . jones have initially ?
If the answer to the question is 50000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. small amount C. most D. moderate amount | D | mr . jones gave 40 % of the money he had to his wife . he also gave 20 % of the remaining amount to his 3 sons . and half of the amount now left was spent on miscellaneous items and the remaining amount of rs . 12000 was deposited in the bank . how much money did mr . jones have initially ? | explanation : let the initial amount be x , amount given to his wife = ( 40 / 100 ) x = 2 x / 5 balance = ( x - ( 2 x / 5 ) ) = 3 x / 5 amount given to his wife = ( 20 / 100 ) * ( 3 x / 5 ) = 3 x / 25 balance = 3 x / 5 - 3 x / 25 = 12 x / 25 amountt spent on miscellaneous items = ( 1 / 2 ) * ( 12 x / 25 ) = 6 x / 25 which is equal to 12000 hence , = > 6 x / 25 = 12000 = > x = 50000 answer : c |
mr . jones gave 40 % of the money he had to his wife . he also gave X% of the remaining amount to his 3 sons . and half of the amount now left was spent on miscellaneous items and the remaining amount of rs . 12000 was deposited in the bank . how much money did mr . jones have initially ?
If the answer to the question is 50000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. none C. moderate amount D. most | A | mr . jones gave 40 % of the money he had to his wife . he also gave 20 % of the remaining amount to his 3 sons . and half of the amount now left was spent on miscellaneous items and the remaining amount of rs . 12000 was deposited in the bank . how much money did mr . jones have initially ? | explanation : let the initial amount be x , amount given to his wife = ( 40 / 100 ) x = 2 x / 5 balance = ( x - ( 2 x / 5 ) ) = 3 x / 5 amount given to his wife = ( 20 / 100 ) * ( 3 x / 5 ) = 3 x / 25 balance = 3 x / 5 - 3 x / 25 = 12 x / 25 amountt spent on miscellaneous items = ( 1 / 2 ) * ( 12 x / 25 ) = 6 x / 25 which is equal to 12000 hence , = > 6 x / 25 = 12000 = > x = 50000 answer : c |
find the compound interest on rs . 10000 at X% rate of interest for 1 year , compounded half - yearly
If the answer to the question is rs . 1236, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. small amount C. few D. moderate amount | C | find the compound interest on rs . 10000 at 12 % rate of interest for 1 year , compounded half - yearly | "amount with ci = 10000 [ 1 + ( 12 / 2 * 100 ) ] 2 = rs . 11236 therefore , ci = 11236 – 10000 = rs . 1236 answer : b" |
20 litres of mixture contains X% alcohol and the rest water . if 8 litres of water be mixed with it , the percentage of alcohol in the new mixture would be ?
If the answer to the question is 28.57 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. moderate amount C. some D. all | B | 20 litres of mixture contains 40 % alcohol and the rest water . if 8 litres of water be mixed with it , the percentage of alcohol in the new mixture would be ? | "alcohol in the 20 litres of mix . = 40 % of 20 litres = ( 40 * 20 / 100 ) = 8 litres water in it = 20 - 8 = 12 litres new quantity of mix . = 20 + 8 = 28 litres quantity of alcohol in it = 8 litres percentage of alcohol in new mix . = 8 * 100 / 28 = 50 / 3 = 28.57 % answer is c" |
if 20 liters of chemical x are added to 80 liters of a mixture that is X% chemical x and 95 % chemical y , then what percentage of the resulting mixture is chemical x ?
If the answer to the question is 24 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. small amount C. few D. most | C | if 20 liters of chemical x are added to 80 liters of a mixture that is 5 % chemical x and 95 % chemical y , then what percentage of the resulting mixture is chemical x ? | "the amount of chemical x in the solution is 20 + 0.05 ( 80 ) = 24 liters . 24 liters / 100 liters = 24 % the answer is a ." |
if 20 liters of chemical x are added to 80 liters of a mixture that is 5 % chemical x and X% chemical y , then what percentage of the resulting mixture is chemical x ?
If the answer to the question is 24 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. all C. moderate amount D. few | B | if 20 liters of chemical x are added to 80 liters of a mixture that is 5 % chemical x and 95 % chemical y , then what percentage of the resulting mixture is chemical x ? | "the amount of chemical x in the solution is 20 + 0.05 ( 80 ) = 24 liters . 24 liters / 100 liters = 24 % the answer is a ." |
in one year , the population , of a village increased by X% and in the next year , it decreased by 10 % . if at the end of 2 nd year , the population was 7920 , what was it in the beginning ?
If the answer to the question is 8000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. few C. most D. moderate amount | B | in one year , the population , of a village increased by 10 % and in the next year , it decreased by 10 % . if at the end of 2 nd year , the population was 7920 , what was it in the beginning ? | "x * 110 / 100 * 90 / 100 = 7920 x * 0.99 = 7920 x = 7920 / 0.99 = > 8000 answer : b" |
in one year , the population , of a village increased by 10 % and in the next year , it decreased by X% . if at the end of 2 nd year , the population was 7920 , what was it in the beginning ?
If the answer to the question is 8000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. most C. all D. few | D | in one year , the population , of a village increased by 10 % and in the next year , it decreased by 10 % . if at the end of 2 nd year , the population was 7920 , what was it in the beginning ? | "x * 110 / 100 * 90 / 100 = 7920 x * 0.99 = 7920 x = 7920 / 0.99 = > 8000 answer : b" |
the profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448 . what should be the sale price for making X% profit ?
If the answer to the question is $ 864, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. moderate amount C. most D. tiny amount | B | the profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448 . what should be the sale price for making 35 % profit ? | "let c . p . = $ x . then , 832 - x = x - 448 2 x = 1280 = > x = 640 required s . p . = 135 % of $ 640 = $ 864 d" |
a certain car ' s price decreased by X% ( from the original price ) each year from 1996 to 2002 , during that time the owner of the car invested in a new carburetor and a new audio system for the car , which increased car ' s price by $ 3,500 . if the price of the car in 1996 was $ 22,000 , what is the car ' s price in 2002 ?
If the answer to the question is $ 22, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. tiny amount C. none D. some | B | a certain car ' s price decreased by 2.5 % ( from the original price ) each year from 1996 to 2002 , during that time the owner of the car invested in a new carburetor and a new audio system for the car , which increased car ' s price by $ 3,500 . if the price of the car in 1996 was $ 22,000 , what is the car ' s price in 2002 ? | "price in 96 = 22000 price decrease each year = 2.5 / 100 * 22000 = 550 price in 97 = 22000 - 550 price in 98 = 22000 - 2 * 550 price in 99 = 22000 - 3 * 550 price in 00 = 22000 - 4 * 550 price in 01 = 22000 - 5 * 550 price in 02 = 22000 - 6 * 550 = 18700 investment in the car = 3500 net price of the car in 02 = 18700 + 3500 = $ 22200 correct option : c" |
a person lent a certain sum of money at X% per annum at simple interest and in 8 years the interest amounted to $ 420 less than the sum lent . what was the sum lent ?
If the answer to the question is 700, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. all C. tiny amount D. some | A | a person lent a certain sum of money at 5 % per annum at simple interest and in 8 years the interest amounted to $ 420 less than the sum lent . what was the sum lent ? | "p - 420 = ( p * 5 * 8 ) / 100 p = 700 the answer is c ." |
barbata invests $ 2600 in the national bank at X% . how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment ?
If the answer to the question is 1300, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. few C. all D. none | B | barbata invests $ 2600 in the national bank at 5 % . how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment ? | "let the additional invested amount for 8 % interest be x ; equation will be ; 2600 + 0.05 * 2600 + x + 0.08 x = 2600 + x + 0.06 ( 2600 + x ) 0.05 * 2600 + 0.08 x = 0.06 x + 0.06 * 2600 0.02 x = 2600 ( 0.06 - 0.05 ) x = 2600 * 0.01 / 0.02 = 1300 ans : ` ` c ' '" |
barbata invests $ 2600 in the national bank at 5 % . how much additional money must she invest at X% so that the total annual income will be equal to 6 % of her entire investment ?
If the answer to the question is 1300, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. few C. tiny amount D. some | B | barbata invests $ 2600 in the national bank at 5 % . how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment ? | "let the additional invested amount for 8 % interest be x ; equation will be ; 2600 + 0.05 * 2600 + x + 0.08 x = 2600 + x + 0.06 ( 2600 + x ) 0.05 * 2600 + 0.08 x = 0.06 x + 0.06 * 2600 0.02 x = 2600 ( 0.06 - 0.05 ) x = 2600 * 0.01 / 0.02 = 1300 ans : ` ` c ' '" |
barbata invests $ 2600 in the national bank at 5 % . how much additional money must she invest at 8 % so that the total annual income will be equal to X% of her entire investment ?
If the answer to the question is 1300, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. few C. none D. small amount | B | barbata invests $ 2600 in the national bank at 5 % . how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment ? | "let the additional invested amount for 8 % interest be x ; equation will be ; 2600 + 0.05 * 2600 + x + 0.08 x = 2600 + x + 0.06 ( 2600 + x ) 0.05 * 2600 + 0.08 x = 0.06 x + 0.06 * 2600 0.02 x = 2600 ( 0.06 - 0.05 ) x = 2600 * 0.01 / 0.02 = 1300 ans : ` ` c ' '" |
a bookseller sells his books at a X% markup in price . if he sells a book for $ 24.00 , how much did he pay for it ?
If the answer to the question is $ 20.00, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. few C. most D. small amount | D | a bookseller sells his books at a 20 % markup in price . if he sells a book for $ 24.00 , how much did he pay for it ? | let the cost price of book = x selling price of book = 24 $ markup % = 20 ( 120 / 100 ) x = 24 = > x = 20 answer e |
find the simple interest on $ 10000 at X% per annum for 12 months ?
If the answer to the question is $ 600, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. most C. few D. all | C | find the simple interest on $ 10000 at 6 % per annum for 12 months ? | "p = $ 10000 r = 6 % t = 12 / 12 years = 1 year s . i . = p * r * t / 100 = 10000 * 6 * 1 / 100 = $ 600 answer is c" |
a man two flats for $ 675958 each . on one he gains X% while on the other he loses 13 % . how much does he gain or lose in the whole transaction ?
If the answer to the question is 1.69 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. moderate amount C. small amount D. most | C | a man two flats for $ 675958 each . on one he gains 13 % while on the other he loses 13 % . how much does he gain or lose in the whole transaction ? | "in such a case there is always a loss loss % = ( 13 / 10 ) ^ 2 = 120 / 71 = 1.69 % answer is a" |
a man two flats for $ 675958 each . on one he gains 13 % while on the other he loses X% . how much does he gain or lose in the whole transaction ?
If the answer to the question is 1.69 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. all C. small amount D. moderate amount | C | a man two flats for $ 675958 each . on one he gains 13 % while on the other he loses 13 % . how much does he gain or lose in the whole transaction ? | "in such a case there is always a loss loss % = ( 13 / 10 ) ^ 2 = 120 / 71 = 1.69 % answer is a" |
students of 3 different classes appeared in common examination . pass average of 10 students of first class was X% , pass average of 15 students of second class was 60 % and pass average of 25 students of third class was 80 % then what will be the pass average of all students of 3 classes ?
If the answer to the question is 67 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. none C. moderate amount D. few | C | students of 3 different classes appeared in common examination . pass average of 10 students of first class was 45 % , pass average of 15 students of second class was 60 % and pass average of 25 students of third class was 80 % then what will be the pass average of all students of 3 classes ? | solution : sum of pass students of first , second and third class , = ( 45 % of 10 ) + ( 60 % of 15 ) + ( 80 % of 25 ) = 4.5 + 9 + 20 = 33.5 total students appeared , = 10 + 15 + 25 = 50 pass average , = 33.5 * 100 / 50 = 67 % . answer : option c |
students of 3 different classes appeared in common examination . pass average of 10 students of first class was 45 % , pass average of 15 students of second class was X% and pass average of 25 students of third class was 80 % then what will be the pass average of all students of 3 classes ?
If the answer to the question is 67 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. some C. tiny amount D. most | D | students of 3 different classes appeared in common examination . pass average of 10 students of first class was 45 % , pass average of 15 students of second class was 60 % and pass average of 25 students of third class was 80 % then what will be the pass average of all students of 3 classes ? | solution : sum of pass students of first , second and third class , = ( 45 % of 10 ) + ( 60 % of 15 ) + ( 80 % of 25 ) = 4.5 + 9 + 20 = 33.5 total students appeared , = 10 + 15 + 25 = 50 pass average , = 33.5 * 100 / 50 = 67 % . answer : option c |
students of 3 different classes appeared in common examination . pass average of 10 students of first class was 45 % , pass average of 15 students of second class was 60 % and pass average of 25 students of third class was X% then what will be the pass average of all students of 3 classes ?
If the answer to the question is 67 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. few C. all D. small amount | C | students of 3 different classes appeared in common examination . pass average of 10 students of first class was 45 % , pass average of 15 students of second class was 60 % and pass average of 25 students of third class was 80 % then what will be the pass average of all students of 3 classes ? | solution : sum of pass students of first , second and third class , = ( 45 % of 10 ) + ( 60 % of 15 ) + ( 80 % of 25 ) = 4.5 + 9 + 20 = 33.5 total students appeared , = 10 + 15 + 25 = 50 pass average , = 33.5 * 100 / 50 = 67 % . answer : option c |
a trader cheats both his supplier and customer by using faulty weights . when he buys from the supplier , he takes X% more than the indicated weight . when he sells to his customer , he gives the customer a weight such that 40 % of that is added to the weight , the weight claimed by the trader is obtained . if he charges the cost price of the weight that he claims , find his profit percentage .
If the answer to the question is 82 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. moderate amount C. small amount D. none | B | a trader cheats both his supplier and customer by using faulty weights . when he buys from the supplier , he takes 30 % more than the indicated weight . when he sells to his customer , he gives the customer a weight such that 40 % of that is added to the weight , the weight claimed by the trader is obtained . if he charges the cost price of the weight that he claims , find his profit percentage . | "anyways , one can infer that he ' steals ' 30 % from suppliers and then charges 40 % extra to customers so basically 1.3 * 1.4 = 1.82 given that 1 is start point , we get 21 % more hence answer is b" |
a trader cheats both his supplier and customer by using faulty weights . when he buys from the supplier , he takes 30 % more than the indicated weight . when he sells to his customer , he gives the customer a weight such that X% of that is added to the weight , the weight claimed by the trader is obtained . if he charges the cost price of the weight that he claims , find his profit percentage .
If the answer to the question is 82 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. small amount C. some D. most | A | a trader cheats both his supplier and customer by using faulty weights . when he buys from the supplier , he takes 30 % more than the indicated weight . when he sells to his customer , he gives the customer a weight such that 40 % of that is added to the weight , the weight claimed by the trader is obtained . if he charges the cost price of the weight that he claims , find his profit percentage . | "anyways , one can infer that he ' steals ' 30 % from suppliers and then charges 40 % extra to customers so basically 1.3 * 1.4 = 1.82 given that 1 is start point , we get 21 % more hence answer is b" |
bhanu spends X% of his income on petrol on scooter 12 % of the remaining on house rent and the balance on food . if he spends rs . 300 on petrol then what is the expenditure on house rent ?
If the answer to the question is 84, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. some C. moderate amount D. few | C | bhanu spends 30 % of his income on petrol on scooter 12 % of the remaining on house rent and the balance on food . if he spends rs . 300 on petrol then what is the expenditure on house rent ? | given 30 % ( income ) = 300 ⇒ ⇒ income = 1000 after having spent rs . 300 on petrol , he left with rs . 700 . his spending on house rent = 12 % ( 700 ) = rs . 84 answer : c |
bhanu spends 30 % of his income on petrol on scooter X% of the remaining on house rent and the balance on food . if he spends rs . 300 on petrol then what is the expenditure on house rent ?
If the answer to the question is 84, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. few C. most D. none | B | bhanu spends 30 % of his income on petrol on scooter 12 % of the remaining on house rent and the balance on food . if he spends rs . 300 on petrol then what is the expenditure on house rent ? | given 30 % ( income ) = 300 ⇒ ⇒ income = 1000 after having spent rs . 300 on petrol , he left with rs . 700 . his spending on house rent = 12 % ( 700 ) = rs . 84 answer : c |
the price of a t . v . set worth rs . 70000 is to be paid in 20 installments of rs . 1000 each . if the rate of interest be X% per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ?
If the answer to the question is 69000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. all C. few D. none | C | the price of a t . v . set worth rs . 70000 is to be paid in 20 installments of rs . 1000 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ? | "money paid in cash = rs . 1000 balance payment = ( 70000 - 1000 ) = rs . 69000 answer : c" |
the original price of a suit is $ 200 . the price increased X% , and after this increase , the store published a 20 % off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting 20 % off the increased price , how much did these consumers pay for the suit ?
If the answer to the question is $ 192, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. some C. most D. moderate amount | A | the original price of a suit is $ 200 . the price increased 20 % , and after this increase , the store published a 20 % off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting 20 % off the increased price , how much did these consumers pay for the suit ? | "0.8 * ( 1.2 * 200 ) = $ 192 the answer is a ." |
the original price of a suit is $ 200 . the price increased 20 % , and after this increase , the store published a X% off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting 20 % off the increased price , how much did these consumers pay for the suit ?
If the answer to the question is $ 192, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. small amount C. some D. moderate amount | B | the original price of a suit is $ 200 . the price increased 20 % , and after this increase , the store published a 20 % off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting 20 % off the increased price , how much did these consumers pay for the suit ? | "0.8 * ( 1.2 * 200 ) = $ 192 the answer is a ." |
the original price of a suit is $ 200 . the price increased 20 % , and after this increase , the store published a 20 % off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting X% off the increased price , how much did these consumers pay for the suit ?
If the answer to the question is $ 192, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. most C. small amount D. moderate amount | C | the original price of a suit is $ 200 . the price increased 20 % , and after this increase , the store published a 20 % off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting 20 % off the increased price , how much did these consumers pay for the suit ? | "0.8 * ( 1.2 * 200 ) = $ 192 the answer is a ." |
if the sample interest on a sum of money X% per annum for 2 years is $ 1200 , find the compound interest on the same sum for the same period at the same rate ?
If the answer to the question is $ 1260, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. moderate amount C. none D. tiny amount | A | if the sample interest on a sum of money 10 % per annum for 2 years is $ 1200 , find the compound interest on the same sum for the same period at the same rate ? | rate = 10 % time = 2 years s . i . = $ 1200 principal = 100 * 1200 / 10 * 2 = $ 6000 amount = 6000 ( 1 + 10 / 100 ) ^ 2 = $ 7260 c . i . = 7260 - 6000 = $ 1260 answer is a |
if X% of a number is 12 less than 50 % of that number , then the number is ?
If the answer to the question is 80, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. moderate amount C. most D. all | B | if 35 % of a number is 12 less than 50 % of that number , then the number is ? | "let the number be x . then , 50 % of x - 35 % of x = 12 50 / 100 x - 35 / 100 x = 12 x = ( 12 * 100 ) / 15 = 80 . answer : d" |
if 35 % of a number is 12 less than X% of that number , then the number is ?
If the answer to the question is 80, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. moderate amount C. some D. tiny amount | B | if 35 % of a number is 12 less than 50 % of that number , then the number is ? | "let the number be x . then , 50 % of x - 35 % of x = 12 50 / 100 x - 35 / 100 x = 12 x = ( 12 * 100 ) / 15 = 80 . answer : d" |
rs 50000 is divided into two parts one part is given to a person with X% interest and another part is given to a person with 20 % interest . at the end of first year he gets profit 8000 find money given by 10 % ?
If the answer to the question is 20000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. some C. few D. moderate amount | C | rs 50000 is divided into two parts one part is given to a person with 10 % interest and another part is given to a person with 20 % interest . at the end of first year he gets profit 8000 find money given by 10 % ? | let first parrt is x and second part is y then x + y = 50000 - - - - - - - - - - eq 1 total profit = profit on x + profit on y 8000 = ( x * 10 * 1 ) / 100 + ( y * 20 * 1 ) / 100 80000 = x + 2 y - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - eq 2 80000 = 50000 + y so y = 30000 then x = 50000 - 30000 = 20000 first part = 20000 answer : a |
rs 50000 is divided into two parts one part is given to a person with 10 % interest and another part is given to a person with X% interest . at the end of first year he gets profit 8000 find money given by 10 % ?
If the answer to the question is 20000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. all C. small amount D. some | C | rs 50000 is divided into two parts one part is given to a person with 10 % interest and another part is given to a person with 20 % interest . at the end of first year he gets profit 8000 find money given by 10 % ? | let first parrt is x and second part is y then x + y = 50000 - - - - - - - - - - eq 1 total profit = profit on x + profit on y 8000 = ( x * 10 * 1 ) / 100 + ( y * 20 * 1 ) / 100 80000 = x + 2 y - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - eq 2 80000 = 50000 + y so y = 30000 then x = 50000 - 30000 = 20000 first part = 20000 answer : a |
rs 50000 is divided into two parts one part is given to a person with 10 % interest and another part is given to a person with 20 % interest . at the end of first year he gets profit 8000 find money given by X% ?
If the answer to the question is 20000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. moderate amount C. few D. none | C | rs 50000 is divided into two parts one part is given to a person with 10 % interest and another part is given to a person with 20 % interest . at the end of first year he gets profit 8000 find money given by 10 % ? | let first parrt is x and second part is y then x + y = 50000 - - - - - - - - - - eq 1 total profit = profit on x + profit on y 8000 = ( x * 10 * 1 ) / 100 + ( y * 20 * 1 ) / 100 80000 = x + 2 y - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - eq 2 80000 = 50000 + y so y = 30000 then x = 50000 - 30000 = 20000 first part = 20000 answer : a |
in a certain company X% of the men and 40 % of the women attended the annual company picnic . if 40 % of all the employees are men . what % of all the employee went to the picnic ?
If the answer to the question is 32 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. few C. all D. moderate amount | A | in a certain company 20 % of the men and 40 % of the women attended the annual company picnic . if 40 % of all the employees are men . what % of all the employee went to the picnic ? | "total men in company 40 % means total women in company 60 % ( assume total people in company 100 % ) no of men employees attended picnic = 40 x ( 20 / 100 ) = 8 no of women employees attended picnic = 60 x ( 40 / 100 ) = 24 total percentage of employees attended the picnic = 8 + 24 = 32 % answer : a" |
in a certain company 20 % of the men and X% of the women attended the annual company picnic . if 40 % of all the employees are men . what % of all the employee went to the picnic ?
If the answer to the question is 32 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. moderate amount C. few D. small amount | B | in a certain company 20 % of the men and 40 % of the women attended the annual company picnic . if 40 % of all the employees are men . what % of all the employee went to the picnic ? | "total men in company 40 % means total women in company 60 % ( assume total people in company 100 % ) no of men employees attended picnic = 40 x ( 20 / 100 ) = 8 no of women employees attended picnic = 60 x ( 40 / 100 ) = 24 total percentage of employees attended the picnic = 8 + 24 = 32 % answer : a" |
in a certain company 20 % of the men and 40 % of the women attended the annual company picnic . if X% of all the employees are men . what % of all the employee went to the picnic ?
If the answer to the question is 32 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. few C. some D. none | A | in a certain company 20 % of the men and 40 % of the women attended the annual company picnic . if 40 % of all the employees are men . what % of all the employee went to the picnic ? | "total men in company 40 % means total women in company 60 % ( assume total people in company 100 % ) no of men employees attended picnic = 40 x ( 20 / 100 ) = 8 no of women employees attended picnic = 60 x ( 40 / 100 ) = 24 total percentage of employees attended the picnic = 8 + 24 = 32 % answer : a" |
the sale price sarees listed for rs . 280 after successive discount is X% and 8 % is ?
If the answer to the question is 226, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. some C. none D. few | D | the sale price sarees listed for rs . 280 after successive discount is 12 % and 8 % is ? | "280 * ( 88 / 100 ) * ( 92 / 100 ) = 226 answer : b" |
the sale price sarees listed for rs . 280 after successive discount is 12 % and X% is ?
If the answer to the question is 226, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. some C. none D. few | D | the sale price sarees listed for rs . 280 after successive discount is 12 % and 8 % is ? | "280 * ( 88 / 100 ) * ( 92 / 100 ) = 226 answer : b" |
a sum was put at simple interest at certain rate for 3 years . had it been put at X% higher rate it would have fetched rs . 66 more . the sum is : a . rs . 2,400 b . rs . 2,100 c . rs . 2,200 d . rs . 2,480
If the answer to the question is 2200, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. few C. small amount D. tiny amount | A | a sum was put at simple interest at certain rate for 3 years . had it been put at 1 % higher rate it would have fetched rs . 66 more . the sum is : a . rs . 2,400 b . rs . 2,100 c . rs . 2,200 d . rs . 2,480 | "1 percent for 3 years = 66 1 percent for 1 year = 22 = > 100 percent = 2200 answer : c" |
X% of a number is added to 180 , the result is the same number . find the number ?
If the answer to the question is 450, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. moderate amount C. few D. most | D | 60 % of a number is added to 180 , the result is the same number . find the number ? | ": ( 60 / 100 ) * x + 180 = x 2 x = 900 x = 450 answer : e" |
find the least number of complete years in which a sum of money put out at X% compound interest will be more than double of itself ?
If the answer to the question is 2, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. small amount C. moderate amount D. tiny amount | C | find the least number of complete years in which a sum of money put out at 45 % compound interest will be more than double of itself ? | "2 years answer : a" |
the product of x and y is a constant . if the value of x is increased by X% , by what percentage must the value of y be decreased ?
If the answer to the question is 28.57 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. tiny amount C. none D. some | A | the product of x and y is a constant . if the value of x is increased by 40 % , by what percentage must the value of y be decreased ? | x * y = constt . let x = y = 100 in beginning i . e . x * y = 100 * 100 = 10000 x ( 100 ) - - - becomes - - - > 1.4 x ( 140 ) i . e . 140 * new ' y ' = 10000 i . e . new ' y ' = 10000 / 140 = 71.43 i . e . y decreases from 100 to 71.43 i . e . decrease of 28.57 % c |
find compound interest on rs . 7500 at X% per year for 2 years , compounded annually .
If the answer to the question is 612, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. moderate amount C. tiny amount D. none | C | find compound interest on rs . 7500 at 4 % per year for 2 years , compounded annually . | "amount = rs [ 7500 * ( 1 + ( 4 / 100 ) 2 ] = rs ( 7500 * ( 26 / 25 ) * ( 26 / 25 ) ) = rs . 8112 . therefore , compound interest = rs . ( 8112 - 7500 ) = rs . 612 . answer is e ." |
in an election only two candidates contested . a candidate secured X% of the valid votes and won by a majority of 178 votes . find the total number of valid votes ?
If the answer to the question is 445, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. all C. most D. moderate amount | C | in an election only two candidates contested . a candidate secured 70 % of the valid votes and won by a majority of 178 votes . find the total number of valid votes ? | let the total number of valid votes be x . 70 % of x = 70 / 100 * x = 7 x / 10 number of votes secured by the other candidate = x - 7 x / 100 = 3 x / 10 given , 7 x / 10 - 3 x / 10 = 178 = > 4 x / 10 = 178 = > 4 x = 1780 = > x = 445 . answer : a |
if the probability of rain on any given day in chicago during the summer is X% , independent of what happens on any other day , what is the probability of having exactly 3 rainy days from july 4 through july 7 inclusive ?
If the answer to the question is 16 / 625, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. moderate amount C. small amount D. none | C | if the probability of rain on any given day in chicago during the summer is 20 % , independent of what happens on any other day , what is the probability of having exactly 3 rainy days from july 4 through july 7 inclusive ? | "one possible case is : rainy - rainy - rainy - not rainy . the probability of this case is 1 / 5 * 1 / 5 * 1 / 5 * 4 / 5 = 4 / 625 the number of possible cases is 4 c 3 = 4 . p ( exactly 3 rainy days ) = 4 * 4 / 625 = 16 / 625 the answer is e ." |
the present population of a town is 60,000 . the population increases annually at X% . find the population after 3 years .
If the answer to the question is 79860, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. all C. most D. some | A | the present population of a town is 60,000 . the population increases annually at 10 % . find the population after 3 years . | "explanation : solution : the required population is 60000 ( 1 + 10 / 100 ) ^ 3 = 60000 * 110 / 100 * 110 / 100 * 110 / 100 = 79,860 answer : b" |
george went to a fruit market with certain amount of money . with this money he can buy either 50 oranges or 40 mangoes . he retains X% of the money for taxi fare and buys 25 mangoes . how many oranges can he buy ?
If the answer to the question is 22.5, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. moderate amount C. tiny amount D. few | D | george went to a fruit market with certain amount of money . with this money he can buy either 50 oranges or 40 mangoes . he retains 5 % of the money for taxi fare and buys 25 mangoes . how many oranges can he buy ? | let the amount of money be 200 let cost of 1 orange be 4 let cost of 1 mango be 5 he decides to retain 5 % of 200 = 10 for taxi fare , so he is left with 190 he buys 20 mangoes ( @ 5 ) so he spends 100 money left is 90 ( 190 - 100 ) no of oranges he can buy = 90 / 4 = > 22,5 so , george can buy 20 oranges . d |
in an examination , there were 2,000 candidates , out of which 900 candidates were girls and rest were boys . if X% of the boys and 32 % of the girls passed , then the total percentage of failed candidates is ?
If the answer to the question is 65.80 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. all C. tiny amount D. few | A | in an examination , there were 2,000 candidates , out of which 900 candidates were girls and rest were boys . if 36 % of the boys and 32 % of the girls passed , then the total percentage of failed candidates is ? | "girls = 900 , boys = 1100 passed = ( 36 % of 1100 ) + ( 32 % of 900 ) = 396 + 288 = 684 failed = 2000 - 684 = 1316 failed % = [ ( 1316 / 2000 ) x 100 ] % = 65.8 % . answer : b" |
in an examination , there were 2,000 candidates , out of which 900 candidates were girls and rest were boys . if 36 % of the boys and X% of the girls passed , then the total percentage of failed candidates is ?
If the answer to the question is 65.80 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. most C. moderate amount D. some | C | in an examination , there were 2,000 candidates , out of which 900 candidates were girls and rest were boys . if 36 % of the boys and 32 % of the girls passed , then the total percentage of failed candidates is ? | "girls = 900 , boys = 1100 passed = ( 36 % of 1100 ) + ( 32 % of 900 ) = 396 + 288 = 684 failed = 2000 - 684 = 1316 failed % = [ ( 1316 / 2000 ) x 100 ] % = 65.8 % . answer : b" |
the difference between compound interest and simple interest on a certain amount of money at X% per annum for 2 years is 19 . find the sum :
If the answer to the question is 7600, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. some C. most D. tiny amount | A | the difference between compound interest and simple interest on a certain amount of money at 5 % per annum for 2 years is 19 . find the sum : | "sol . ( d ) let the sum be 100 . therefore , si = 100 × 5 × 2100 = 10100 × 5 × 2100 = 10 and ci = 100 ( 1 + 5100 ) 2 − 100100 ( 1 + 5100 ) 2 − 100 ∴ = 100 × 21 × 2120 × 20 − 100 = 414 = 100 × 21 × 2120 × 20 − 100 = 414 difference of ci and si = 41 ⁄ 4 - 10 = 1 ⁄ 4 if the difference is 1 ⁄ 4 , the sum = 100 = > if the difference is 19 , the sum = 400 × 19 = 7600 answer b" |
if X% of a class averages 100 % on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages 65 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) .
If the answer to the question is 87 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. moderate amount C. small amount D. some | B | if 45 % of a class averages 100 % on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages 65 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) . | "this question is a weighted average question with a series of dependent variables . the remaining portion of the class represents 100 % - 45 % - 50 % = 5 % of the class converting the portions of the class population to decimal weights , we find : class average = 0.45 x 100 + 0.50 x 78 + 0.05 x 63 = 87.15 the class average ( rounded ) is 87 % final answer b ) 87 %" |
if 45 % of a class averages X% on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages 65 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) .
If the answer to the question is 87 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. none C. tiny amount D. some | A | if 45 % of a class averages 100 % on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages 65 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) . | "this question is a weighted average question with a series of dependent variables . the remaining portion of the class represents 100 % - 45 % - 50 % = 5 % of the class converting the portions of the class population to decimal weights , we find : class average = 0.45 x 100 + 0.50 x 78 + 0.05 x 63 = 87.15 the class average ( rounded ) is 87 % final answer b ) 87 %" |
if 45 % of a class averages 100 % on a test , X% of the class averages 78 % on the test , and the remainder of the class averages 65 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) .
If the answer to the question is 87 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. moderate amount C. some D. most | B | if 45 % of a class averages 100 % on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages 65 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) . | "this question is a weighted average question with a series of dependent variables . the remaining portion of the class represents 100 % - 45 % - 50 % = 5 % of the class converting the portions of the class population to decimal weights , we find : class average = 0.45 x 100 + 0.50 x 78 + 0.05 x 63 = 87.15 the class average ( rounded ) is 87 % final answer b ) 87 %" |
if 45 % of a class averages 100 % on a test , 50 % of the class averages X% on the test , and the remainder of the class averages 65 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) .
If the answer to the question is 87 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. some C. few D. most | D | if 45 % of a class averages 100 % on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages 65 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) . | "this question is a weighted average question with a series of dependent variables . the remaining portion of the class represents 100 % - 45 % - 50 % = 5 % of the class converting the portions of the class population to decimal weights , we find : class average = 0.45 x 100 + 0.50 x 78 + 0.05 x 63 = 87.15 the class average ( rounded ) is 87 % final answer b ) 87 %" |
if 45 % of a class averages 100 % on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages X% on the test , what is the overall class average ? ( round final answer to the nearest percent ) .
If the answer to the question is 87 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. all C. most D. moderate amount | C | if 45 % of a class averages 100 % on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages 65 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) . | "this question is a weighted average question with a series of dependent variables . the remaining portion of the class represents 100 % - 45 % - 50 % = 5 % of the class converting the portions of the class population to decimal weights , we find : class average = 0.45 x 100 + 0.50 x 78 + 0.05 x 63 = 87.15 the class average ( rounded ) is 87 % final answer b ) 87 %" |
in a school of 650 boys , X% of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?
If the answer to the question is 117, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. few C. all D. moderate amount | D | in a school of 650 boys , 44 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ? | 44 + 28 + 10 = 82 % 100 – 82 = 18 % 650 * 18 / 100 = 117 answer : e |
in a school of 650 boys , 44 % of muslims , X% hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?
If the answer to the question is 117, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. some C. all D. few | B | in a school of 650 boys , 44 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ? | 44 + 28 + 10 = 82 % 100 – 82 = 18 % 650 * 18 / 100 = 117 answer : e |
in a school of 650 boys , 44 % of muslims , 28 % hindus , X% sikhs and the remaining of other communities . how many belonged to the other communities ?
If the answer to the question is 117, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. none C. few D. moderate amount | C | in a school of 650 boys , 44 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ? | 44 + 28 + 10 = 82 % 100 – 82 = 18 % 650 * 18 / 100 = 117 answer : e |
find the compound interest on $ 1200 for 6 years at X% p . a . if ci is component yearly ?
If the answer to the question is $ 2383, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. small amount C. all D. none | B | find the compound interest on $ 1200 for 6 years at 20 % p . a . if ci is component yearly ? | "a = p ( 1 + r / 100 ) ^ t = 1200 ( 1 + 20 / 100 ) ^ 6 = $ 3583 ci = $ 2383 answer is c" |
an error X% in excess is made while measuring the side of a square . now what is the percentage of error in the calculated area of the square ?
If the answer to the question is 21 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. few C. tiny amount D. none | B | an error 10 % in excess is made while measuring the side of a square . now what is the percentage of error in the calculated area of the square ? | "percentage error in calculated area = ( 10 + 10 + ( 10 ã — 10 ) / 100 ) % = 21 % answer : d" |
a customer went to a shop and paid a total of $ 30 , out of which 90 cents was for sales tax on taxable purchases . if the tax rate was X% , then what was the cost of the tax free items ?
If the answer to the question is $ 14.10, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. all C. some D. small amount | A | a customer went to a shop and paid a total of $ 30 , out of which 90 cents was for sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ? | "the total cost was $ 30 . the tax was $ 0.90 let the original price of the taxable items = x given that tax rate = 6 % 0.06 x = 0.90 x = $ 15 the cost of the tax free items was $ 30 - $ 15 - $ 0.90 = $ 14.10 the answer is c ." |
a distributor sells a product through an online store , which take a commission of X% of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 18 per item . what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item ?
If the answer to the question is $ 27, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. moderate amount C. none D. small amount | D | a distributor sells a product through an online store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 18 per item . what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item ? | "let x be the price that buyers see online . the distributor wants to receive 1.2 ( original price ) which should be 80 % of x . 1.2 ( 18 ) = 0.8 x x = 1.2 ( 18 ) / 0.8 = 1.5 ( 18 ) = $ 27 the answer is c ." |
a distributor sells a product through an online store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 18 per item . what is the price that the buyer observers online if the distributor wants to maintain a X% profit on the cost of the item ?
If the answer to the question is $ 27, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. some C. most D. small amount | D | a distributor sells a product through an online store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 18 per item . what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item ? | "let x be the price that buyers see online . the distributor wants to receive 1.2 ( original price ) which should be 80 % of x . 1.2 ( 18 ) = 0.8 x x = 1.2 ( 18 ) / 0.8 = 1.5 ( 18 ) = $ 27 the answer is c ." |
michelle deposited a certain sum of money in a savings account on july 1 st , 2007 . she earns an X% interest compounded semiannually . the sum of money in the account on december 31 st , 2009 is approximately what percent of the initial deposit ?
If the answer to the question is 138 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. small amount C. some D. tiny amount | B | michelle deposited a certain sum of money in a savings account on july 1 st , 2007 . she earns an 14 % interest compounded semiannually . the sum of money in the account on december 31 st , 2009 is approximately what percent of the initial deposit ? | "since michelle earns 14 % interest compounded semiannually , then she earns 7 % interest every 6 months . now , the simple interest earned in 5 periods ( 30 months = 5 * 6 months ) would be 7 % * 5 = 35 % . but , since the interest iscompoundedevery 6 months , then there would be interest earned on interest ( very small amount ) thus the actual interest earned would be a little bit more than 35 % , only answer choice d fits . answer : d" |
in what ratio must water be mixed with milk to gain 16 2 / X% on selling the mixture at cost price ?
If the answer to the question is 1 : 6, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. all C. tiny amount D. few | C | in what ratio must water be mixed with milk to gain 16 2 / 3 % on selling the mixture at cost price ? | required ratio is cheaper quantity : dearer quantity = ( d - m ) : ( m - c ) answer with explanation : step i ) let c . p of 1 litre of mild be rs . 1 and s . p of 1 litre of mild be rs . 1 gain = 50 / 3 per cent c . p of 1 litre of mixture = 1 3 50 100 100 x = re . 100 x 3 / 350 x 1 = 6 / 7 ( mean price ) step ( ii ) by the rule of allegation i . c . p of 1 liter of water = 0 ii . c . p of 1 liter of milk = 1 iii . mean price ( p ) = 6 / 7 iv . d – m = 1 – 6 / 7 = 1 / 7 v . m – c = 6 / 7 - 0 = 6 / 7 ratio of water and milk = 1 / 7 : 6 / 7 = 1 : 6 answer : d |
a worker is paid a regular rate of rs . 10 for completing a survey . the worker completes 50 surveys per week . for any survey involving the use of her cellphone , she is paid at a rate of that is X% higher than her regular rate . if she completed 35 surveys involving the use of her cellphone , how much did she get that week ?
If the answer to the question is 605, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. some C. moderate amount D. few | C | a worker is paid a regular rate of rs . 10 for completing a survey . the worker completes 50 surveys per week . for any survey involving the use of her cellphone , she is paid at a rate of that is 30 % higher than her regular rate . if she completed 35 surveys involving the use of her cellphone , how much did she get that week ? | "earning 35 surveys using her cell phone = 13 * 35 = 455 balance 15 surveys = 10 x 15 = 150 total = 455 + 150 = 605 answer : a" |
at what price must an article costing rs . 47.50 be marked in order that after deducting X% from the list price . it may be sold at a profit of 25 % on the cost price ?
If the answer to the question is 63.84, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. few C. tiny amount D. small amount | B | at what price must an article costing rs . 47.50 be marked in order that after deducting 7 % from the list price . it may be sold at a profit of 25 % on the cost price ? | "cp = 47.50 sp = 47.50 * ( 125 / 100 ) = 59.375 mp * ( 93 / 100 ) = 59.375 mp = 63.84 answer : a" |
at what price must an article costing rs . 47.50 be marked in order that after deducting 7 % from the list price . it may be sold at a profit of X% on the cost price ?
If the answer to the question is 63.84, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. some C. all D. none | B | at what price must an article costing rs . 47.50 be marked in order that after deducting 7 % from the list price . it may be sold at a profit of 25 % on the cost price ? | "cp = 47.50 sp = 47.50 * ( 125 / 100 ) = 59.375 mp * ( 93 / 100 ) = 59.375 mp = 63.84 answer : a" |
what is X% of 80 ?
If the answer to the question is 24, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. moderate amount C. few D. none | B | what is 30 % of 80 ? | "30 % of 80 = 30 / 100 × 80 = ( 30 × 80 ) / 100 = 2400 / 100 = 24 answer : a" |
how much interest will $ 8,000 earn in 9 months at an annual rate of X% ?
If the answer to the question is $ 360, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. few C. none D. all | B | how much interest will $ 8,000 earn in 9 months at an annual rate of 6 % ? | "soln : - 9 months = 3 / 4 of year ; 6 % = 6 / 100 = 3 / 50 ; $ 8,000 ( principal ) * 3 / 50 ( interest rate ) * 3 / 4 ( time ) = $ 360 . answer : c" |
bert and rebecca were looking at the price of a condominium . the price of the condominium was X% more than bert had in savings , and separately , the same price was also 25 % more than rebecca had in savings . what is the ratio of what bert has in savings to what rebecca has in savings .
If the answer to the question is 5 : 6, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. tiny amount C. moderate amount D. most | C | bert and rebecca were looking at the price of a condominium . the price of the condominium was 50 % more than bert had in savings , and separately , the same price was also 25 % more than rebecca had in savings . what is the ratio of what bert has in savings to what rebecca has in savings . | "suppose bert had 100 so price becomes 150 , this 150 = 1.25 times r ' s saving . . so r ' s saving becomes 120 so required ratio is 100 : 120 = 5 : 6 answer : e" |
bert and rebecca were looking at the price of a condominium . the price of the condominium was 50 % more than bert had in savings , and separately , the same price was also X% more than rebecca had in savings . what is the ratio of what bert has in savings to what rebecca has in savings .
If the answer to the question is 5 : 6, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. some C. tiny amount D. none | B | bert and rebecca were looking at the price of a condominium . the price of the condominium was 50 % more than bert had in savings , and separately , the same price was also 25 % more than rebecca had in savings . what is the ratio of what bert has in savings to what rebecca has in savings . | "suppose bert had 100 so price becomes 150 , this 150 = 1.25 times r ' s saving . . so r ' s saving becomes 120 so required ratio is 100 : 120 = 5 : 6 answer : e" |
find the principle on a certain sum of money at X% per annum for 2 2 / 5 years if the amount being rs . 1120 ?
If the answer to the question is 921.05, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. all C. none D. moderate amount | A | find the principle on a certain sum of money at 9 % per annum for 2 2 / 5 years if the amount being rs . 1120 ? | 1120 = p [ 1 + ( 9 * 12 / 5 ) / 100 ] p = 921.05 answer : e |
if X% of a number is equal to two - third of another number , what is the ratio of first number to the second number .
If the answer to the question is 5 : 3, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. most C. few D. moderate amount | D | if 40 % of a number is equal to two - third of another number , what is the ratio of first number to the second number . | "explanation : let the first number is a and second number is b . as per question ( 40 / 100 ) a = ( 2 / 3 ) b a / b = 2 / 3 x 100 / 40 a / b = 5 / 3 = > a : b = 5 : 3 answer : option a" |
vijay lent out an amount rs . 10000 into two parts , one at X% p . a . and the remaining at 10 % p . a . both on simple interest . at the end of the year he received rs . 890 as total interest . what was the amount he lent out at 8 % pa . a ?
If the answer to the question is 5500, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. moderate amount C. few D. some | C | vijay lent out an amount rs . 10000 into two parts , one at 8 % p . a . and the remaining at 10 % p . a . both on simple interest . at the end of the year he received rs . 890 as total interest . what was the amount he lent out at 8 % pa . a ? | "let the amount lent out at 8 % p . a . be rs . a = > ( a * 8 ) / 100 + [ ( 10000 - a ) * 10 ] / 100 = 890 = > a = rs . 5500 . answer : b" |
vijay lent out an amount rs . 10000 into two parts , one at 8 % p . a . and the remaining at X% p . a . both on simple interest . at the end of the year he received rs . 890 as total interest . what was the amount he lent out at 8 % pa . a ?
If the answer to the question is 5500, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. few C. tiny amount D. most | B | vijay lent out an amount rs . 10000 into two parts , one at 8 % p . a . and the remaining at 10 % p . a . both on simple interest . at the end of the year he received rs . 890 as total interest . what was the amount he lent out at 8 % pa . a ? | "let the amount lent out at 8 % p . a . be rs . a = > ( a * 8 ) / 100 + [ ( 10000 - a ) * 10 ] / 100 = 890 = > a = rs . 5500 . answer : b" |
vijay lent out an amount rs . 10000 into two parts , one at 8 % p . a . and the remaining at 10 % p . a . both on simple interest . at the end of the year he received rs . 890 as total interest . what was the amount he lent out at X% pa . a ?
If the answer to the question is 5500, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. some C. tiny amount D. few | D | vijay lent out an amount rs . 10000 into two parts , one at 8 % p . a . and the remaining at 10 % p . a . both on simple interest . at the end of the year he received rs . 890 as total interest . what was the amount he lent out at 8 % pa . a ? | "let the amount lent out at 8 % p . a . be rs . a = > ( a * 8 ) / 100 + [ ( 10000 - a ) * 10 ] / 100 = 890 = > a = rs . 5500 . answer : b" |
a 64 gallon solution of salt and water is X% salt . how many gallons of water must be added to the solution in order to decrease the salt to 8 % of the volume ?
If the answer to the question is 16, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. moderate amount C. most D. few | D | a 64 gallon solution of salt and water is 10 % salt . how many gallons of water must be added to the solution in order to decrease the salt to 8 % of the volume ? | amount of salt = 6.4 assume x gallons of water are added . 6.4 / 64 + x = 8 / 100 640 = 8 x + 512 8 x = 128 x = 16 correct option : e |
a 64 gallon solution of salt and water is 10 % salt . how many gallons of water must be added to the solution in order to decrease the salt to X% of the volume ?
If the answer to the question is 16, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. moderate amount C. most D. few | D | a 64 gallon solution of salt and water is 10 % salt . how many gallons of water must be added to the solution in order to decrease the salt to 8 % of the volume ? | amount of salt = 6.4 assume x gallons of water are added . 6.4 / 64 + x = 8 / 100 640 = 8 x + 512 8 x = 128 x = 16 correct option : e |
there are 200 employees in a room . X% are managers . how many managers must leave the room to bring down the percentage of managers to 98 % ?
If the answer to the question is 100, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. most C. tiny amount D. all | D | there are 200 employees in a room . 99 % are managers . how many managers must leave the room to bring down the percentage of managers to 98 % ? | "there are 198 managers and 2 others . the 2 others would compose 2 % of the total number of people if there were 100 people in the room . thus 100 managers must leave . the answer is b ." |
there are 200 employees in a room . 99 % are managers . how many managers must leave the room to bring down the percentage of managers to X% ?
If the answer to the question is 100, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. all C. most D. tiny amount | B | there are 200 employees in a room . 99 % are managers . how many managers must leave the room to bring down the percentage of managers to 98 % ? | "there are 198 managers and 2 others . the 2 others would compose 2 % of the total number of people if there were 100 people in the room . thus 100 managers must leave . the answer is b ." |
a light has a rating of 80 watts , it is replaced with a new light that has X% higher wattage . how many watts does the new light have ?
If the answer to the question is 100, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. some C. small amount D. none | B | a light has a rating of 80 watts , it is replaced with a new light that has 25 % higher wattage . how many watts does the new light have ? | "final number = initial number + 25 % ( original number ) = 80 + 25 % ( 80 ) = 80 + 20 = 100 . answer e" |
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