instruction stringlengths 211 775 | response stringclasses 4
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the length of a rectangle is reduced by X% . by what % would the width have to be increased to maintain the original area ?
If the answer to the question is 28 %, 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. some D. all | C | the length of a rectangle is reduced by 22 % . by what % would the width have to be increased to maintain the original area ? | "sol . required change = ( 22 * 100 ) / ( 100 - 22 ) = 28.2 % c" |
the cost price of an book is X% of the marked price . calculate the gain percent after allowing a discount of 12 % ?
If the answer to the question is 37.5 %, 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. moderate amount | C | the cost price of an book is 64 % of the marked price . calculate the gain percent after allowing a discount of 12 % ? | c 37.5 % let marked price = $ 100 . then , c . p . = $ 64 , s . p . = $ 88 gain % = 24 / 64 * 100 = 37.5 % . |
the cost price of an book is 64 % of the marked price . calculate the gain percent after allowing a discount of X% ?
If the answer to the question is 37.5 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. none C. all D. tiny amount | A | the cost price of an book is 64 % of the marked price . calculate the gain percent after allowing a discount of 12 % ? | c 37.5 % let marked price = $ 100 . then , c . p . = $ 64 , s . p . = $ 88 gain % = 24 / 64 * 100 = 37.5 % . |
if a speaks the truth X% of the times , b speaks the truth 50 % of the times . what is the probability that at least one will tell the truth
If the answer to the question is 0.8, 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. all D. most | D | if a speaks the truth 60 % of the times , b speaks the truth 50 % of the times . what is the probability that at least one will tell the truth | "probability of a speaks truth p ( a ) = 6 / 10 ; false = 4 / 10 probability of b speaks truth p ( b ) = 5 / 10 ; false = 5 / 10 . for given qtn ans = 1 - ( neither of them tell truth ) . because a & b are independent events = 1 - [ ( 4 / 10 ) * ( 5 / 10 ) ] = 4 / 5 = 0.8 answer : a" |
if a speaks the truth 60 % of the times , b speaks the truth X% of the times . what is the probability that at least one will tell the truth
If the answer to the question is 0.8, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. most C. few D. moderate amount | D | if a speaks the truth 60 % of the times , b speaks the truth 50 % of the times . what is the probability that at least one will tell the truth | "probability of a speaks truth p ( a ) = 6 / 10 ; false = 4 / 10 probability of b speaks truth p ( b ) = 5 / 10 ; false = 5 / 10 . for given qtn ans = 1 - ( neither of them tell truth ) . because a & b are independent events = 1 - [ ( 4 / 10 ) * ( 5 / 10 ) ] = 4 / 5 = 0.8 answer : a" |
by selling 32 pencils for a rupee a man loses X% . how many for a rupee should he sell in order to gain 60 % ?
If the answer to the question is 10, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. most C. tiny amount D. some | B | by selling 32 pencils for a rupee a man loses 60 % . how many for a rupee should he sell in order to gain 60 % ? | "40 % - - - 40 160 % - - - ? 40 / 160 * 40 = 10 answer : a" |
by selling 32 pencils for a rupee a man loses 60 % . how many for a rupee should he sell in order to gain X% ?
If the answer to the question is 10, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. none C. some D. all | A | by selling 32 pencils for a rupee a man loses 60 % . how many for a rupee should he sell in order to gain 60 % ? | "40 % - - - 40 160 % - - - ? 40 / 160 * 40 = 10 answer : a" |
if a man lost X% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44 % ?
If the answer to the question is 7.5, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. most C. moderate amount D. few | D | if a man lost 10 % by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44 % ? | 90 % - - - - 12 144 % - - - - ? 90 / 144 * 12 = 7.50 answer : b |
if a man lost 10 % by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain X% ?
If the answer to the question is 7.5, 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. tiny amount D. small amount | A | if a man lost 10 % by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44 % ? | 90 % - - - - 12 144 % - - - - ? 90 / 144 * 12 = 7.50 answer : b |
boy sells a book for rs . 540 he gets a loss of X% , to gain 10 % , what should be the sp ?
If the answer to the question is 660, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. most C. few D. small amount | C | boy sells a book for rs . 540 he gets a loss of 10 % , to gain 10 % , what should be the sp ? | "cost price = 540 / 90 x 100 = 600 to gain 10 % = 600 x 10 / 100 = 60 sp = cp + gain = 600 + 60 = 660 answer : e" |
boy sells a book for rs . 540 he gets a loss of 10 % , to gain X% , what should be the sp ?
If the answer to the question is 660, 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. moderate amount D. small amount | B | boy sells a book for rs . 540 he gets a loss of 10 % , to gain 10 % , what should be the sp ? | "cost price = 540 / 90 x 100 = 600 to gain 10 % = 600 x 10 / 100 = 60 sp = cp + gain = 600 + 60 = 660 answer : e" |
a sum of money is put out at compound interest for 2 years at X% . it would fetch rs . 723 more if the interest were payable half - yearly , then it were pay able yearly . find the sum .
If the answer to the question is 30000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. most C. small amount D. tiny amount | C | a sum of money is put out at compound interest for 2 years at 20 % . it would fetch rs . 723 more if the interest were payable half - yearly , then it were pay able yearly . find the sum . | "p ( 11 / 10 ) ^ 4 - p ( 6 / 5 ) ^ 2 = 723 p = 30000 answer : d" |
in an election between the two candidates , the candidates who gets X% of votes polled is winned by 280 vote ’ s majority . what is the total number of votes polled ?
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. none C. all D. most | D | in an election between the two candidates , the candidates who gets 70 % of votes polled is winned by 280 vote ’ s majority . what is the total number of votes polled ? | "explanation : note : majority ( 40 % ) = difference in votes polled to win ( 70 % ) & defeated candidates ( 30 % ) 40 % = 70 % - 30 % 40 % - - - - - > 280 ( 40 * 7 = 280 ) 100 % - - - - - > 700 ( 100 * 7 = 700 ) answer : option b" |
X% of x is greater than 1 / 3 rd of x by 110 . what is x ?
If the answer to the question is 660, 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. most | A | 50 % of x is greater than 1 / 3 rd of x by 110 . what is x ? | "5 x / 10 - x / 3 = 110 1 x / 6 = 110 x = 660 answer : e" |
a solution contains 8 parts of water for every 7 parts of lemonade syrup . how many parts of the solution should be removed and replaced with water so that the solution will now contain X% lemonade syrup ?
If the answer to the question is 2.14, 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. few D. some | D | a solution contains 8 parts of water for every 7 parts of lemonade syrup . how many parts of the solution should be removed and replaced with water so that the solution will now contain 25 % lemonade syrup ? | "let the total solution is 150 l with 80 l water 70 l syrup . to make 25 % syrup solution , the result solution must have 112.5 l syrup and 37.5 l syrup . therefore we are taking 32.5 l of syrup from initial solution and replacing with water . using urinary method : 70 l syrup in 150 l solution 32.5 l syrup in 69.6 l solution we started by multiplying 10 now to get to the result we need to divide by 32.5 = > amount of solution to be replaced with water = ( 69.6 / 32.5 ) = 2.14 . correct option : c" |
X% of the population of a village is 64000 . the total population of the village is ?
If the answer to the question is 80000, 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. all | D | 80 % of the population of a village is 64000 . the total population of the village is ? | "x * ( 80 / 100 ) = 64000 x = 800 * 100 x = 80000 answer : c" |
how many liters of a X% iodine solution need to be mixed with 35 liters of a 20 % iodine solution to create a 34 % iodine solution ?
If the answer to the question is 136, 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. tiny amount | C | how many liters of a 40 % iodine solution need to be mixed with 35 liters of a 20 % iodine solution to create a 34 % iodine solution ? | "solution 1 : assume the iodine solution to be mixed = x lts . iodine = 0.4 x lts , water = 0.6 x lts . solution 2 : 35 liters of a 20 % iodine solution iodine = 7 lts , water = 28 lts . total iodine = 0.4 x + 7 total water = 0.6 x + 28 the resultant is a 35 % idoine solution . hence ( 0.4 x + 7 ) / ( x + 35 ) = 34 / 100 40 x + 700 = 34 x + 1220 6 x = 820 x = 136 lts correct option : e" |
how many liters of a 40 % iodine solution need to be mixed with 35 liters of a X% iodine solution to create a 34 % iodine solution ?
If the answer to the question is 136, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. tiny amount C. all D. small amount | D | how many liters of a 40 % iodine solution need to be mixed with 35 liters of a 20 % iodine solution to create a 34 % iodine solution ? | "solution 1 : assume the iodine solution to be mixed = x lts . iodine = 0.4 x lts , water = 0.6 x lts . solution 2 : 35 liters of a 20 % iodine solution iodine = 7 lts , water = 28 lts . total iodine = 0.4 x + 7 total water = 0.6 x + 28 the resultant is a 35 % idoine solution . hence ( 0.4 x + 7 ) / ( x + 35 ) = 34 / 100 40 x + 700 = 34 x + 1220 6 x = 820 x = 136 lts correct option : e" |
how many liters of a 40 % iodine solution need to be mixed with 35 liters of a 20 % iodine solution to create a X% iodine solution ?
If the answer to the question is 136, 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 | how many liters of a 40 % iodine solution need to be mixed with 35 liters of a 20 % iodine solution to create a 34 % iodine solution ? | "solution 1 : assume the iodine solution to be mixed = x lts . iodine = 0.4 x lts , water = 0.6 x lts . solution 2 : 35 liters of a 20 % iodine solution iodine = 7 lts , water = 28 lts . total iodine = 0.4 x + 7 total water = 0.6 x + 28 the resultant is a 35 % idoine solution . hence ( 0.4 x + 7 ) / ( x + 35 ) = 34 / 100 40 x + 700 = 34 x + 1220 6 x = 820 x = 136 lts correct option : e" |
there are 50 students in a class . if X% are absent on a particular day , find the number of students present in the class .
If the answer to the question is 43, 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. moderate amount D. few | A | there are 50 students in a class . if 14 % are absent on a particular day , find the number of students present in the class . | "number of students absent on a particular day = 14 % of 50 i . e . , 14 / 100 × 50 = 7 therefore , the number of students present = 50 - 7 = 43 students . answer : a" |
if X% of a number = 300 , then 120 % of that number will be ?
If the answer to the question is 1800, 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. few D. small amount | D | if 20 % of a number = 300 , then 120 % of that number will be ? | "let the number x . then , 20 % of x = 300 x = ( 300 * 100 ) / 20 = 1500 120 % of x = ( 120 / 100 * 1500 ) = 1800 . answer : d" |
one type of liquid contains X% of water and the second type of liquid contains 15 % of water . a glass is filled with 5 parts of 1 st liquid and 2 parts of 2 nd liquid . the percentage of water in the new mixture in the glass is ?
If the answer to the question is 11.4 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. most C. few D. tiny amount | C | one type of liquid contains 10 % of water and the second type of liquid contains 15 % of water . a glass is filled with 5 parts of 1 st liquid and 2 parts of 2 nd liquid . the percentage of water in the new mixture in the glass is ? | "required percentage = ( 10 % of 5 + 15 % of 2 ) / 5 + 2 * 100 = 0.8 / 7 * 100 = 11.4 % answer is b" |
one type of liquid contains 10 % of water and the second type of liquid contains X% of water . a glass is filled with 5 parts of 1 st liquid and 2 parts of 2 nd liquid . the percentage of water in the new mixture in the glass is ?
If the answer to the question is 11.4 %, 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 | D | one type of liquid contains 10 % of water and the second type of liquid contains 15 % of water . a glass is filled with 5 parts of 1 st liquid and 2 parts of 2 nd liquid . the percentage of water in the new mixture in the glass is ? | "required percentage = ( 10 % of 5 + 15 % of 2 ) / 5 + 2 * 100 = 0.8 / 7 * 100 = 11.4 % answer is b" |
a fraudulent dairy guy declares to market his dairy at price range but he combined it with water and therefore benefits X% . the percentage of water in the combination is :
If the answer to the question is 20 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. some C. moderate amount D. few | B | a fraudulent dairy guy declares to market his dairy at price range but he combined it with water and therefore benefits 25 % . the percentage of water in the combination is : | explanation : - > if capability price of 1 l of milk = rs . 1 and s . price of 1 l of combination = rs . 1 benefits = 20 % capability price of 1 l of combination = [ ( 100 / 100 + 25 ) * 1 ] = rs . 100 / 125 = rs . 4 / 5 - > from the rule of allegation i . capability price of 1 l of water = 0 ii . capability price of 1 l of milk = 1 iii . ( p ) = 4 / 5 iv . d – m = 1 – 4 / 5 = 1 / 5 v . m – c = 4 / 5 – 0 = 4 / 5 ratio of milk to water = 4 / 5 : 1 / 5 = 4 : 1 % of water in the combination = ( 1 / 5 x 100 ) % = 20 % answer : a |
john bought a shirt on sale for X% off the original price and another 25 % off the discounted price . if the final price was $ 17 , what was the price before the first discount ?
If the answer to the question is $ 30.22, 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. few | A | john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price . if the final price was $ 17 , what was the price before the first discount ? | "let x be the price before the first discount . the price after the first discount is x - 25 % x ( price after first discount ) a second discount of 25 % of the discounted price after which the final price is 17 ( x - 25 % x ) - 25 % ( x - 25 % x ) = 17 solve for x x = $ 30.22 correct answer b" |
john bought a shirt on sale for 25 % off the original price and another X% off the discounted price . if the final price was $ 17 , what was the price before the first discount ?
If the answer to the question is $ 30.22, 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. some | D | john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price . if the final price was $ 17 , what was the price before the first discount ? | "let x be the price before the first discount . the price after the first discount is x - 25 % x ( price after first discount ) a second discount of 25 % of the discounted price after which the final price is 17 ( x - 25 % x ) - 25 % ( x - 25 % x ) = 17 solve for x x = $ 30.22 correct answer b" |
if a trader sold two cars each at rs . 325475 and gains X% on the first and loses 15 % on the second , then his profit or loss percent on the whole is ?
If the answer to the question is 2.25 %, 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. all D. most | A | if a trader sold two cars each at rs . 325475 and gains 15 % on the first and loses 15 % on the second , then his profit or loss percent on the whole is ? | "sp of each car is rs . 325475 , he gains 15 % on first car and losses 15 % on second car . in this case , there will be loss and percentage of loss is given by = [ ( profit % ) ( loss % ) ] / 100 = ( 15 ) ( 15 ) / 100 % = 1.44 % answer : e" |
if a trader sold two cars each at rs . 325475 and gains 15 % on the first and loses X% on the second , then his profit or loss percent on the whole is ?
If the answer to the question is 2.25 %, 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. some D. moderate amount | A | if a trader sold two cars each at rs . 325475 and gains 15 % on the first and loses 15 % on the second , then his profit or loss percent on the whole is ? | "sp of each car is rs . 325475 , he gains 15 % on first car and losses 15 % on second car . in this case , there will be loss and percentage of loss is given by = [ ( profit % ) ( loss % ) ] / 100 = ( 15 ) ( 15 ) / 100 % = 1.44 % answer : e" |
a sum fetched a total simple interest of rs . 4016.25 at the rate of X% p . a . in 9 years . what is the sum ?
If the answer to the question is 44625, 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. none D. all | C | a sum fetched a total simple interest of rs . 4016.25 at the rate of 1 % p . a . in 9 years . what is the sum ? | "principal = ( 100 * 4016.25 ) / ( 1 * 9 ) = rs . 44625 . answer : c" |
if a man lost X% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44 % ?
If the answer to the question is 8, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. some C. few D. tiny amount | D | if a man lost 4 % by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44 % ? | "96 % - - - - 12 144 % - - - - ? 96 / 144 * 12 = 8 answer a" |
if a man lost 4 % by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain X% ?
If the answer to the question is 8, 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. small amount | A | if a man lost 4 % by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44 % ? | "96 % - - - - 12 144 % - - - - ? 96 / 144 * 12 = 8 answer a" |
in an election , candidate a got X% of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favor of candidate ?
If the answer to the question is 261800, 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. few D. all | A | in an election , candidate a got 55 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favor of candidate ? | "total number of invalid votes = 15 % of 560000 = 15 / 100 × 560000 = 8400000 / 100 = 84000 total number of valid votes 560000 – 84000 = 476000 percentage of votes polled in favour of candidate a = 55 % therefore , the number of valid votes polled in favour of candidate a = 55 % of 476000 = 55 / 100 × 476000 = 26180000 / 100 = 261800 a )" |
in an election , candidate a got 55 % of the total valid votes . if X% of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favor of candidate ?
If the answer to the question is 261800, 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 | A | in an election , candidate a got 55 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favor of candidate ? | "total number of invalid votes = 15 % of 560000 = 15 / 100 × 560000 = 8400000 / 100 = 84000 total number of valid votes 560000 – 84000 = 476000 percentage of votes polled in favour of candidate a = 55 % therefore , the number of valid votes polled in favour of candidate a = 55 % of 476000 = 55 / 100 × 476000 = 26180000 / 100 = 261800 a )" |
a sum of rs . 2730 is lent into two parts so that the interest on the first part for 8 years at X% per annum may be equal to the interest on the second part for 3 years at 5 % per annum . find the second sum ?
If the answer to the question is 1680, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. tiny amount C. moderate amount D. all | B | a sum of rs . 2730 is lent into two parts so that the interest on the first part for 8 years at 3 % per annum may be equal to the interest on the second part for 3 years at 5 % per annum . find the second sum ? | ( x * 8 * 3 ) / 100 = ( ( 2730 - x ) * 3 * 5 ) / 100 24 x / 100 = 40950 / 100 - 15 x / 100 39 x = 40950 = > x = 1050 second sum = 2730 â € “ 1050 = 1680 answer : b |
a sum of rs . 2730 is lent into two parts so that the interest on the first part for 8 years at 3 % per annum may be equal to the interest on the second part for 3 years at X% per annum . find the second sum ?
If the answer to the question is 1680, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. few C. tiny amount D. small amount | B | a sum of rs . 2730 is lent into two parts so that the interest on the first part for 8 years at 3 % per annum may be equal to the interest on the second part for 3 years at 5 % per annum . find the second sum ? | ( x * 8 * 3 ) / 100 = ( ( 2730 - x ) * 3 * 5 ) / 100 24 x / 100 = 40950 / 100 - 15 x / 100 39 x = 40950 = > x = 1050 second sum = 2730 â € “ 1050 = 1680 answer : b |
if the radius of a circle is decreased X% , what happens to the area ?
If the answer to the question is 84 % decrease, 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. most | D | if the radius of a circle is decreased 60 % , what happens to the area ? | "area of square = pi * radius ^ 2 new radius = 0.4 * old radius so new area = ( 0.4 ) ^ 2 old area = > 0.16 of old area = > 16 % old area ans : d" |
a group of students was interviewed for that if it was asked whether or not they speak french and / or english . among those who speak french , 25 speak english well , while 65 of them do not speak english . if X% of students do not speak french , how many students were surveyed ?
If the answer to the question is 200, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. some C. moderate amount D. all | A | a group of students was interviewed for that if it was asked whether or not they speak french and / or english . among those who speak french , 25 speak english well , while 65 of them do not speak english . if 55 % of students do not speak french , how many students were surveyed ? | number of students who speak french are 65 + 25 = 90 of total students , the percentage of students who do not speak french was 55 % - - > percentage of who do is 45 % 90 - - - - - - - 45 % x - - - - - - - 100 % x = 90 * 100 / 45 = 200 = number of all students answer is d |
each of the products produced yesterday was checked by worker x or worker y . X% of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.65 % , what fraction of the products was checked by worker y ?
If the answer to the question is 1 / 2, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. tiny amount C. all D. some | A | each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.65 % , what fraction of the products was checked by worker y ? | "x : 0.5 % is 0.15 % - points from 0.65 % . y : 0.8 % is 0.15 % - points from 0.65 % . therefore the ratio of products checked by y : x is 1 : 1 . thus , worker y checked 1 / 2 of the products . the answer is b ." |
each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and X% of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.65 % , what fraction of the products was checked by worker y ?
If the answer to the question is 1 / 2, 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. none D. most | C | each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.65 % , what fraction of the products was checked by worker y ? | "x : 0.5 % is 0.15 % - points from 0.65 % . y : 0.8 % is 0.15 % - points from 0.65 % . therefore the ratio of products checked by y : x is 1 : 1 . thus , worker y checked 1 / 2 of the products . the answer is b ." |
each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is X% , what fraction of the products was checked by worker y ?
If the answer to the question is 1 / 2, 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 | A | each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.65 % , what fraction of the products was checked by worker y ? | "x : 0.5 % is 0.15 % - points from 0.65 % . y : 0.8 % is 0.15 % - points from 0.65 % . therefore the ratio of products checked by y : x is 1 : 1 . thus , worker y checked 1 / 2 of the products . the answer is b ." |
total dinning bill of 9 people was $ 139.00 and X% tip divided the bill evenly ? what is the bill amount each person shared .
If the answer to the question is 16.98, 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. few D. most | C | total dinning bill of 9 people was $ 139.00 and 10 % tip divided the bill evenly ? what is the bill amount each person shared . | "dinner bill of 9 person = 139 + 10 % tip so , 10 % of 139 = ( 139 * 10 ) / 100 = 13.9 so , the actual total amount = 139 + 13.9 = $ 152.9 so per head bill = 152.9 / 9 = $ 16.98 answer : c" |
ms . harris invested in fund x and fund b . the total amount she invested , in both funds combined , was $ 100000 . in one year , fund x paid X% and fund b paid 17 % . the interest earned in fund b was exactly $ 200 greater than the interest earned in fund x . how much did ms . morris invest in fund x ?
If the answer to the question is $ 42000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. all C. none D. moderate amount | A | ms . harris invested in fund x and fund b . the total amount she invested , in both funds combined , was $ 100000 . in one year , fund x paid 23 % and fund b paid 17 % . the interest earned in fund b was exactly $ 200 greater than the interest earned in fund x . how much did ms . morris invest in fund x ? | 0.17 b - 0.23 x = 200 | * 100 17 b - 23 x = 20,000 x + b = 100,000 b = 100,000 - x 17 ( 100,000 - x ) - 23 x = 20,000 1 , 700,000 - 17 x - 23 x = 20,000 1 , 680,000 = 40 x divide by 40 first two digits : 42 . . . so answer is d . |
ms . harris invested in fund x and fund b . the total amount she invested , in both funds combined , was $ 100000 . in one year , fund x paid 23 % and fund b paid X% . the interest earned in fund b was exactly $ 200 greater than the interest earned in fund x . how much did ms . morris invest in fund x ?
If the answer to the question is $ 42000, 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. none D. few | B | ms . harris invested in fund x and fund b . the total amount she invested , in both funds combined , was $ 100000 . in one year , fund x paid 23 % and fund b paid 17 % . the interest earned in fund b was exactly $ 200 greater than the interest earned in fund x . how much did ms . morris invest in fund x ? | 0.17 b - 0.23 x = 200 | * 100 17 b - 23 x = 20,000 x + b = 100,000 b = 100,000 - x 17 ( 100,000 - x ) - 23 x = 20,000 1 , 700,000 - 17 x - 23 x = 20,000 1 , 680,000 = 40 x divide by 40 first two digits : 42 . . . so answer is d . |
vishal invested X% more than trishul . trishul invested 10 % less than raghu . if the total sum of their investments is rs . 5780 , how much amount did raghu invest ?
If the answer to the question is 2000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. all C. few D. none | C | vishal invested 10 % more than trishul . trishul invested 10 % less than raghu . if the total sum of their investments is rs . 5780 , how much amount did raghu invest ? | "let money invested by raghu = rs . x money invested by trishul = 9 / 10 x = 0.9 x money invested by vishal = 9 / 10 x * 110 / 100 = 0.99 x also , x + 0.9 x + 0.99 x = 5780 = x = 5780 / 2.89 = 2000 therefore , amount invested by raghu is rs . 2000 . answer : c" |
vishal invested 10 % more than trishul . trishul invested X% less than raghu . if the total sum of their investments is rs . 5780 , how much amount did raghu invest ?
If the answer to the question is 2000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. few C. small amount D. moderate amount | B | vishal invested 10 % more than trishul . trishul invested 10 % less than raghu . if the total sum of their investments is rs . 5780 , how much amount did raghu invest ? | "let money invested by raghu = rs . x money invested by trishul = 9 / 10 x = 0.9 x money invested by vishal = 9 / 10 x * 110 / 100 = 0.99 x also , x + 0.9 x + 0.99 x = 5780 = x = 5780 / 2.89 = 2000 therefore , amount invested by raghu is rs . 2000 . answer : c" |
a reduction of X% in the price of salt enables a lady to obtain 10 kgs more for rs . 200 , find the original price per kg ?
If the answer to the question is s . 5, 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. all D. none | B | a reduction of 20 % in the price of salt enables a lady to obtain 10 kgs more for rs . 200 , find the original price per kg ? | "100 * ( 20 / 100 ) = 20 - - - 10 ? - - - 1 = > rs . 2 200 - - - 80 ? - - - 2 = > rs . 5 answer : c" |
find the simple interest on rs . 69,000 at 16 2 / X% per year for 9 months .
If the answer to the question is 8625, 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. small amount D. few | B | find the simple interest on rs . 69,000 at 16 2 / 3 % per year for 9 months . | p = rs . 69000 , r = 50 / 3 % p . a and t = 9 / 12 years = 3 / 4 years . simple interest = ( p * r * t ) / 100 = rs . ( 69,000 * ( 50 / 3 ) * ( 3 / 4 ) * ( 1 / 100 ) ) = rs . 8625 answer is c . |
tough and tricky questions : word problems . micheal , saren and donald decided to club together to buy a present . each of them gave equal amount of money . luckily saren negotiated a X% discount for the present so that each of them paid 4 dollars less . how much did they pay for a present ?
If the answer to the question is 48, 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. tiny amount | A | tough and tricky questions : word problems . micheal , saren and donald decided to club together to buy a present . each of them gave equal amount of money . luckily saren negotiated a 20 % discount for the present so that each of them paid 4 dollars less . how much did they pay for a present ? | answer c . we know that saren negotiated a discount of 20 % , so each of them paid $ 4 less . since there are three people , the 20 % of the original price amounts to $ 12 . 5 times 12 $ is 60 $ , so the original price , before saren negotiated the discount , had been $ 60 . they paid $ 12 less than the base price , so they spent $ 48 . |
a shopkeeper has 280 kg of apples . he sells X% of these at 20 % profit and remaining 60 % at 30 % profit . find his % profit on total .
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. none C. moderate amount D. some | C | a shopkeeper has 280 kg of apples . he sells 30 % of these at 20 % profit and remaining 60 % at 30 % profit . find his % profit on total . | "if the total quantity was 100 then 30 x 20 % + 60 x 30 % = 24 this profit will remain same for any total quantity unless the % of products remains the same . hence ' a ' is the answer" |
a shopkeeper has 280 kg of apples . he sells 30 % of these at X% profit and remaining 60 % at 30 % profit . find his % profit on total .
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. moderate amount C. none D. tiny amount | A | a shopkeeper has 280 kg of apples . he sells 30 % of these at 20 % profit and remaining 60 % at 30 % profit . find his % profit on total . | "if the total quantity was 100 then 30 x 20 % + 60 x 30 % = 24 this profit will remain same for any total quantity unless the % of products remains the same . hence ' a ' is the answer" |
a shopkeeper has 280 kg of apples . he sells 30 % of these at 20 % profit and remaining X% at 30 % profit . find his % profit on total .
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. some B. tiny amount C. moderate amount D. most | D | a shopkeeper has 280 kg of apples . he sells 30 % of these at 20 % profit and remaining 60 % at 30 % profit . find his % profit on total . | "if the total quantity was 100 then 30 x 20 % + 60 x 30 % = 24 this profit will remain same for any total quantity unless the % of products remains the same . hence ' a ' is the answer" |
a shopkeeper has 280 kg of apples . he sells 30 % of these at 20 % profit and remaining 60 % at X% profit . find his % profit on total .
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. none C. moderate amount D. all | C | a shopkeeper has 280 kg of apples . he sells 30 % of these at 20 % profit and remaining 60 % at 30 % profit . find his % profit on total . | "if the total quantity was 100 then 30 x 20 % + 60 x 30 % = 24 this profit will remain same for any total quantity unless the % of products remains the same . hence ' a ' is the answer" |
pradeep has to obtain X% of the total marks to pass . he got 390 marks and failed by 25 marks . the maximum marks are
If the answer to the question is 2075, 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. none D. tiny amount | A | pradeep has to obtain 20 % of the total marks to pass . he got 390 marks and failed by 25 marks . the maximum marks are | "explanation : let their maximum marks be x . then , 20 % of x = 390 + 25 = > 20 / 100 x = 415 x = ( 41500 / 20 ) x = 2075 . answer : b" |
what will be the fraction of X%
If the answer to the question is 1 / 5, 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. all | C | what will be the fraction of 20 % | "explanation : it will 20 * 1 / 100 = 1 / 5 answer : option b" |
in a hostel , the number of students decreased by X% and the price of food increased by 20 % over the previous year . if each student consumes the same amount of food then by how much should the consumption of food be cut short by every student , so that the total cost of the food remains the same as that of the previous year ?
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. few B. most C. moderate amount D. all | A | in a hostel , the number of students decreased by 12 % and the price of food increased by 20 % over the previous year . if each student consumes the same amount of food then by how much should the consumption of food be cut short by every student , so that the total cost of the food remains the same as that of the previous year ? | "cost of food ( c ) = food consumed per student ( f ) * number of students ( n ) * price of food ( p ) originally , c = fnp when number of students decrease by 12 % , and the price of food increases by 20 % , c = f ( new ) * ( 0.88 n ) * ( 1.2 p ) = > f ( new ) = f / ( 0.88 * 1.2 ) = > f ( new ) = 0.9469 f therefore the new cost of food must be 94.69 % of the old cost , or the cost of food must decrease by 5.3 % ( option e )" |
in a hostel , the number of students decreased by 12 % and the price of food increased by X% over the previous year . if each student consumes the same amount of food then by how much should the consumption of food be cut short by every student , so that the total cost of the food remains the same as that of the previous year ?
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. moderate amount B. small amount C. tiny amount D. all | B | in a hostel , the number of students decreased by 12 % and the price of food increased by 20 % over the previous year . if each student consumes the same amount of food then by how much should the consumption of food be cut short by every student , so that the total cost of the food remains the same as that of the previous year ? | "cost of food ( c ) = food consumed per student ( f ) * number of students ( n ) * price of food ( p ) originally , c = fnp when number of students decrease by 12 % , and the price of food increases by 20 % , c = f ( new ) * ( 0.88 n ) * ( 1.2 p ) = > f ( new ) = f / ( 0.88 * 1.2 ) = > f ( new ) = 0.9469 f therefore the new cost of food must be 94.69 % of the old cost , or the cost of food must decrease by 5.3 % ( option e )" |
cereal a is X% sugar by weight , whereas healthier but less delicious cereal b is 2 % sugar by weight . to make a delicious and healthy mixture that is 5 % sugar , what should be the ratio of cereal a to cereal b , by weight ?
If the answer to the question is 1 : 2, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. most C. small amount D. few | D | cereal a is 11 % sugar by weight , whereas healthier but less delicious cereal b is 2 % sugar by weight . to make a delicious and healthy mixture that is 5 % sugar , what should be the ratio of cereal a to cereal b , by weight ? | "2 % is 3 % - points below 5 % and 11 % is 6 % - points above 5 % . the ratio of a : b should be 3 : 6 = 1 : 2 . the answer is a ." |
cereal a is 11 % sugar by weight , whereas healthier but less delicious cereal b is X% sugar by weight . to make a delicious and healthy mixture that is 5 % sugar , what should be the ratio of cereal a to cereal b , by weight ?
If the answer to the question is 1 : 2, 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. most | C | cereal a is 11 % sugar by weight , whereas healthier but less delicious cereal b is 2 % sugar by weight . to make a delicious and healthy mixture that is 5 % sugar , what should be the ratio of cereal a to cereal b , by weight ? | "2 % is 3 % - points below 5 % and 11 % is 6 % - points above 5 % . the ratio of a : b should be 3 : 6 = 1 : 2 . the answer is a ." |
cereal a is 11 % sugar by weight , whereas healthier but less delicious cereal b is 2 % sugar by weight . to make a delicious and healthy mixture that is X% sugar , what should be the ratio of cereal a to cereal b , by weight ?
If the answer to the question is 1 : 2, 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. tiny amount D. few | D | cereal a is 11 % sugar by weight , whereas healthier but less delicious cereal b is 2 % sugar by weight . to make a delicious and healthy mixture that is 5 % sugar , what should be the ratio of cereal a to cereal b , by weight ? | "2 % is 3 % - points below 5 % and 11 % is 6 % - points above 5 % . the ratio of a : b should be 3 : 6 = 1 : 2 . the answer is a ." |
total dinning bill of 6 people was $ 139.00 and X% tip divided the bill evenly ? what is the bill amount each person shared .
If the answer to the question is 25.48, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. small amount C. moderate amount D. most | A | total dinning bill of 6 people was $ 139.00 and 10 % tip divided the bill evenly ? what is the bill amount each person shared . | dinner bill of 6 person = 139 + 10 % tip so , 10 % of 139 = ( 139 * 10 ) / 100 = 13.9 so , the actual total amount = 139 + 13.9 = $ 152.9 so per head bill = 152.9 / 6 = $ 25.48 answer : e |
a part - time employee ’ s hourly wage was increased by X% . she decided to decrease the number of hours worked per week so that her total income did not change . by approximately what percent should the number of hours worked be decreased ?
If the answer to the question is 20 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. all C. some D. moderate amount | C | a part - time employee ’ s hourly wage was increased by 25 % . she decided to decrease the number of hours worked per week so that her total income did not change . by approximately what percent should the number of hours worked be decreased ? | "let ' s plug in somenicenumbers and see what ' s needed . let ' s say the employee used to make $ 1 / hour and worked 100 hours / week so , the total weekly income was $ 100 / week after the 25 % wage increase , the employee makes $ 1.25 / hour we want the employee ' s income to remain at $ 100 / week . so , we want ( $ 1.25 / hour ) ( new # of hours ) = $ 100 divide both sides by 1.25 to get : new # of hours = 100 / 1.25 ≈ 80 hours so , the number of hours decreases from 100 hours to ( approximately ) 80 hours . this represents a 20 % decrease ( approximately ) . answer : c" |
if the area of a circle decreases by X% , then the radius of a circle decreases by
If the answer to the question is none of these, 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. some | C | if the area of a circle decreases by 66 % , then the radius of a circle decreases by | "if area of a circle decreased by x % then the radius of a circle decreases by ( 100 − 10 √ 100 − x ) % = ( 100 − 10 √ 100 − 66 ) % = ( 100 − 10 √ 64 ) % = 100 - 58 = 42 % answer e" |
on thursday mabel handled 90 transactions . anthony handled X% more transactions than mabel , cal handled 2 / 3 rds of the transactions that anthony handled , and jade handled 15 more transactions than cal . how much transactions did jade handled ?
If the answer to the question is 81, 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. few D. all | C | on thursday mabel handled 90 transactions . anthony handled 10 % more transactions than mabel , cal handled 2 / 3 rds of the transactions that anthony handled , and jade handled 15 more transactions than cal . how much transactions did jade handled ? | solution : mabel handled 90 transactions anthony handled 10 % more transactions than mabel anthony = 90 + 90 × 10 % = 90 + 90 × 0.10 = 90 + 9 = 99 cal handled 2 / 3 rds of the transactions than anthony handled cal = 2 / 3 × 99 = 66 jade handled 15 more transactions than cal . jade = 66 + 15 = 81 jade handled = 81 transactions . answer : b |
a transport company ’ s 120 buses running 20 hrs a day consume 360 of fuel in a day . in the next 3 days , the company will invest in 30 more green buses that use X% less fuel . how many lts of fuel will be consumed in a 5 day week after the new buses are added to the fleet ?
If the answer to the question is 3, 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. some D. none | A | a transport company ’ s 120 buses running 20 hrs a day consume 360 of fuel in a day . in the next 3 days , the company will invest in 30 more green buses that use 30 % less fuel . how many lts of fuel will be consumed in a 5 day week after the new buses are added to the fleet ? | old buses use 360 * 5 days = 1,800 lts new buses use ( 0.70 * 360 ) / 120 * 5 days * 30 buses = 1,512 lts total fuel is 3,312 lts answer is e |
john ' s bank ' s saving amount is decreased X% due to loan payment and current balance is rs . 24000 . find the actual balance before deduction ?
If the answer to the question is 30000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. most C. few D. small amount | D | john ' s bank ' s saving amount is decreased 20 % due to loan payment and current balance is rs . 24000 . find the actual balance before deduction ? | "20 % decreased 80 % balance = 24000 100 % = 24000 / 80 * 100 = 30000 answer : e" |
60 percent of movie theatres in town x have 3 screens or less . X% of those theatres sell an average of more than $ 300 worth of popcorn per showing . 56 percent of all the movie theatres in town x sell $ 300 or less of popcorn per showing . what percent of all the stores on the street have 4 or more screens and sell an average of more than $ 300 worth of popcorn per day ?
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. all B. none C. few D. small amount | D | 60 percent of movie theatres in town x have 3 screens or less . 20 % of those theatres sell an average of more than $ 300 worth of popcorn per showing . 56 percent of all the movie theatres in town x sell $ 300 or less of popcorn per showing . what percent of all the stores on the street have 4 or more screens and sell an average of more than $ 300 worth of popcorn per day ? | "let ' s take numbers here . assume that the total number of movie theaters in the town = 100 then number of movie theaters with 3 screens or less = 60 = > number of movie theaters with 4 screens or more = 40 movie theaters with 3 screens or less selling popcorn at more than $ 300 = 20 % of 60 = 12 number of movie theaters selling popcorn at $ 300 or less = 56 = > number of movie theaters selling popcorn at more than $ 300 = 100 - 56 = 44 of these 44 theaters , 12 are those with 3 screens or less therefore 32 ( 44 - 12 ) must be those with four screens or more c is the answer" |
a student got X% in one subject , 80 % in other . to get overall 75 % how much he should get in third subject .
If the answer to the question is 75 %, 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. most D. all | C | a student got 70 % in one subject , 80 % in other . to get overall 75 % how much he should get in third subject . | already average of two subjects is ( 70 + 80 ) / 2 = 75 % to maintain the percentage at 75 % , he shouls get 75 % marks in third subject answer : b |
a student got 70 % in one subject , X% in other . to get overall 75 % how much he should get in third subject .
If the answer to the question is 75 %, 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. all D. few | C | a student got 70 % in one subject , 80 % in other . to get overall 75 % how much he should get in third subject . | already average of two subjects is ( 70 + 80 ) / 2 = 75 % to maintain the percentage at 75 % , he shouls get 75 % marks in third subject answer : b |
a student got 70 % in one subject , 80 % in other . to get overall X% how much he should get in third subject .
If the answer to the question is 75 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. none C. some D. small amount | A | a student got 70 % in one subject , 80 % in other . to get overall 75 % how much he should get in third subject . | already average of two subjects is ( 70 + 80 ) / 2 = 75 % to maintain the percentage at 75 % , he shouls get 75 % marks in third subject answer : b |
a person distributed X% of his income to his 2 children each . he deposited 20 % of his income to his wife ' s account . he donated 10 % of remaining amount to an orphan house . finally he has $ 500 . find his total income ?
If the answer to the question is $ 1000, 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. few | D | a person distributed 10 % of his income to his 2 children each . he deposited 20 % of his income to his wife ' s account . he donated 10 % of remaining amount to an orphan house . finally he has $ 500 . find his total income ? | "2 children got = 2 * 10 % = 20 % wife got = 20 % orphan house = 10 % total = 20 + 20 + 10 = 50 % remaining = 100 - 50 = 50 % 50 % = 500 100 % = 500 * 100 / 50 = $ 1000 answer is b" |
a person distributed 10 % of his income to his 2 children each . he deposited X% of his income to his wife ' s account . he donated 10 % of remaining amount to an orphan house . finally he has $ 500 . find his total income ?
If the answer to the question is $ 1000, 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. all | C | a person distributed 10 % of his income to his 2 children each . he deposited 20 % of his income to his wife ' s account . he donated 10 % of remaining amount to an orphan house . finally he has $ 500 . find his total income ? | "2 children got = 2 * 10 % = 20 % wife got = 20 % orphan house = 10 % total = 20 + 20 + 10 = 50 % remaining = 100 - 50 = 50 % 50 % = 500 100 % = 500 * 100 / 50 = $ 1000 answer is b" |
a person distributed 10 % of his income to his 2 children each . he deposited 20 % of his income to his wife ' s account . he donated X% of remaining amount to an orphan house . finally he has $ 500 . find his total income ?
If the answer to the question is $ 1000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. few C. tiny amount D. moderate amount | B | a person distributed 10 % of his income to his 2 children each . he deposited 20 % of his income to his wife ' s account . he donated 10 % of remaining amount to an orphan house . finally he has $ 500 . find his total income ? | "2 children got = 2 * 10 % = 20 % wife got = 20 % orphan house = 10 % total = 20 + 20 + 10 = 50 % remaining = 100 - 50 = 50 % 50 % = 500 100 % = 500 * 100 / 50 = $ 1000 answer is b" |
if the simple interest on a sum of money for 2 years at X% per annum is rs . 50 , what is the compound interest on the same sum at the rate and for the same time ?
If the answer to the question is rs . 51.25, 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. most D. moderate amount | A | if the simple interest on a sum of money for 2 years at 5 % per annum is rs . 50 , what is the compound interest on the same sum at the rate and for the same time ? | "sum = ( 50 * 100 ) / ( 2 * 5 ) = rs . 500 amount = [ 500 * ( 1 + 5 / 100 ) 2 ] = rs . 551.25 c . i . = ( 551.25 - 500 ) = rs . 51.25 . answer : a" |
a person borrows 9000 for 9 years at X% p . a . simple interest . he immediately lends it to another person at 7 % p . a . for 9 years . find his gain in the transaction per year .
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. small amount B. some C. tiny amount D. few | C | a person borrows 9000 for 9 years at 3 % p . a . simple interest . he immediately lends it to another person at 7 % p . a . for 9 years . find his gain in the transaction per year . | "gain in 9 years = [ ( 9000 ã — 9 ã — 7 / 100 ) â ˆ ’ ( 9000 ã — 9 ã — 3 / 100 ) ] = ( 5670 â € “ 2430 ) = 3240 â ˆ ´ gain in 1 year = ( 3240 / 9 ) = 360 answer b" |
a person borrows 9000 for 9 years at 3 % p . a . simple interest . he immediately lends it to another person at X% p . a . for 9 years . find his gain in the transaction per year .
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. small amount B. few C. some D. all | B | a person borrows 9000 for 9 years at 3 % p . a . simple interest . he immediately lends it to another person at 7 % p . a . for 9 years . find his gain in the transaction per year . | "gain in 9 years = [ ( 9000 ã — 9 ã — 7 / 100 ) â ˆ ’ ( 9000 ã — 9 ã — 3 / 100 ) ] = ( 5670 â € “ 2430 ) = 3240 â ˆ ´ gain in 1 year = ( 3240 / 9 ) = 360 answer b" |
a shopkeeper has 280 kg of apples . he sells X% of these at 30 % profit and remaining 60 % at 30 % profit . find his % profit on total .
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. none B. moderate amount C. few D. most | B | a shopkeeper has 280 kg of apples . he sells 40 % of these at 30 % profit and remaining 60 % at 30 % profit . find his % profit on total . | "if the total quantity was 100 then 40 x 30 % + 60 x 30 % = 30 this profit will remain same for any total quantity unless the % of products remains the same . hence ' e ' is the answer" |
a shopkeeper has 280 kg of apples . he sells 40 % of these at X% profit and remaining 60 % at 30 % profit . find his % profit on total .
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. most C. some D. few | A | a shopkeeper has 280 kg of apples . he sells 40 % of these at 30 % profit and remaining 60 % at 30 % profit . find his % profit on total . | "if the total quantity was 100 then 40 x 30 % + 60 x 30 % = 30 this profit will remain same for any total quantity unless the % of products remains the same . hence ' e ' is the answer" |
a shopkeeper has 280 kg of apples . he sells 40 % of these at 30 % profit and remaining X% at 30 % profit . find his % profit on total .
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. all B. small amount C. most D. none | C | a shopkeeper has 280 kg of apples . he sells 40 % of these at 30 % profit and remaining 60 % at 30 % profit . find his % profit on total . | "if the total quantity was 100 then 40 x 30 % + 60 x 30 % = 30 this profit will remain same for any total quantity unless the % of products remains the same . hence ' e ' is the answer" |
a shopkeeper has 280 kg of apples . he sells 40 % of these at 30 % profit and remaining 60 % at X% profit . find his % profit on total .
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. none B. moderate amount C. tiny amount D. some | B | a shopkeeper has 280 kg of apples . he sells 40 % of these at 30 % profit and remaining 60 % at 30 % profit . find his % profit on total . | "if the total quantity was 100 then 40 x 30 % + 60 x 30 % = 30 this profit will remain same for any total quantity unless the % of products remains the same . hence ' e ' is the answer" |
in country z , X% of the people do not have a university diploma but have the job of their choice , and 25 % of the people who do not have the job of their choice have a university diploma . if 40 % of the people have the job of their choice , what percent of the people have a university diploma ?
If the answer to the question is 43 %, 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. few D. small amount | C | in country z , 12 % of the people do not have a university diploma but have the job of their choice , and 25 % of the people who do not have the job of their choice have a university diploma . if 40 % of the people have the job of their choice , what percent of the people have a university diploma ? | "setting up a matrix is how i solve this one . diploma no diploma totals job of choice w / diploma job of choice w / o diploma = 12 % job of choice total = 40 % not job of choice with diploma = . 25 x not job of choice w / o diploma = . 75 x total not job of choice = x total with diploma total without diploma total citizen = 100 if 40 % of people have their job of choice , then 60 % of people do not have their job of choice . 25 % of 60 % = 15 % . we can also see that 28 % of the people have their job of choice and a diploma ( 40 % - 12 % = 28 % ) . 28 % + 15 % = 43 % . therefore 43 % of the people in country z have a diploma . ans b" |
in country z , 12 % of the people do not have a university diploma but have the job of their choice , and X% of the people who do not have the job of their choice have a university diploma . if 40 % of the people have the job of their choice , what percent of the people have a university diploma ?
If the answer to the question is 43 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. some C. small amount D. tiny amount | B | in country z , 12 % of the people do not have a university diploma but have the job of their choice , and 25 % of the people who do not have the job of their choice have a university diploma . if 40 % of the people have the job of their choice , what percent of the people have a university diploma ? | "setting up a matrix is how i solve this one . diploma no diploma totals job of choice w / diploma job of choice w / o diploma = 12 % job of choice total = 40 % not job of choice with diploma = . 25 x not job of choice w / o diploma = . 75 x total not job of choice = x total with diploma total without diploma total citizen = 100 if 40 % of people have their job of choice , then 60 % of people do not have their job of choice . 25 % of 60 % = 15 % . we can also see that 28 % of the people have their job of choice and a diploma ( 40 % - 12 % = 28 % ) . 28 % + 15 % = 43 % . therefore 43 % of the people in country z have a diploma . ans b" |
in country z , 12 % of the people do not have a university diploma but have the job of their choice , and 25 % of the people who do not have the job of their choice have a university diploma . if X% of the people have the job of their choice , what percent of the people have a university diploma ?
If the answer to the question is 43 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. few C. moderate amount D. small amount | C | in country z , 12 % of the people do not have a university diploma but have the job of their choice , and 25 % of the people who do not have the job of their choice have a university diploma . if 40 % of the people have the job of their choice , what percent of the people have a university diploma ? | "setting up a matrix is how i solve this one . diploma no diploma totals job of choice w / diploma job of choice w / o diploma = 12 % job of choice total = 40 % not job of choice with diploma = . 25 x not job of choice w / o diploma = . 75 x total not job of choice = x total with diploma total without diploma total citizen = 100 if 40 % of people have their job of choice , then 60 % of people do not have their job of choice . 25 % of 60 % = 15 % . we can also see that 28 % of the people have their job of choice and a diploma ( 40 % - 12 % = 28 % ) . 28 % + 15 % = 43 % . therefore 43 % of the people in country z have a diploma . ans b" |
country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of X% of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 8 % . if ron imported a $ 14,000 imported car and ended up paying $ 1640 in taxes , what is the first tier ' s price level ?
If the answer to the question is $ 13000, 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. tiny amount D. all | A | country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 12 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 8 % . if ron imported a $ 14,000 imported car and ended up paying $ 1640 in taxes , what is the first tier ' s price level ? | "let t be the tier price , p be total price = 14000 per the given conditions : 0.12 t + 0.08 ( p - t ) = 1640 - - - - > t = 13000 . e is the correct answer ." |
country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 12 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is X% . if ron imported a $ 14,000 imported car and ended up paying $ 1640 in taxes , what is the first tier ' s price level ?
If the answer to the question is $ 13000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. few C. most D. small amount | B | country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 12 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 8 % . if ron imported a $ 14,000 imported car and ended up paying $ 1640 in taxes , what is the first tier ' s price level ? | "let t be the tier price , p be total price = 14000 per the given conditions : 0.12 t + 0.08 ( p - t ) = 1640 - - - - > t = 13000 . e is the correct answer ." |
if the personal income tax rate is lowered from X% to 32 % , what is the differential savings for a tax payer having an annual income before tax to the tune of $ 36000 ?
If the answer to the question is $ 5040, 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. some D. moderate amount | D | if the personal income tax rate is lowered from 46 % to 32 % , what is the differential savings for a tax payer having an annual income before tax to the tune of $ 36000 ? | "saving = ( 46 - 32 ) % of 36000 = 5040 . answer : b" |
if the personal income tax rate is lowered from 46 % to X% , what is the differential savings for a tax payer having an annual income before tax to the tune of $ 36000 ?
If the answer to the question is $ 5040, 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. all D. moderate amount | D | if the personal income tax rate is lowered from 46 % to 32 % , what is the differential savings for a tax payer having an annual income before tax to the tune of $ 36000 ? | "saving = ( 46 - 32 ) % of 36000 = 5040 . answer : b" |
33 1 / X% of 36 ?
If the answer to the question is 12 number, 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. all | A | 33 1 / 3 % of 36 ? | explanation : 33 1 / 3 % = 1 / 3 1 / 3 * 36 = 12 answer : option d |
at joes steakhouse the hourly wage for a chef is X% greater than that of a dishwasher , and the hourly wage of a dishwasher is half as much as the hourly wage of a manager . if a managers wage is $ 10.50 per hour , how much less than a manager does a chef earn each hour ?
If the answer to the question is $ 4.30, 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. moderate amount D. small amount | D | at joes steakhouse the hourly wage for a chef is 20 % greater than that of a dishwasher , and the hourly wage of a dishwasher is half as much as the hourly wage of a manager . if a managers wage is $ 10.50 per hour , how much less than a manager does a chef earn each hour ? | "manager wages per hour = $ 10.50 dishwasher wages per hour = half of manager ' s wages . = 1 / 2 ( $ 10.50 ) = = > $ 5.25 chef wages per hour = 20 % greater than dishwasher wages - - > 20 % of $ 5.25 = ( 20 * ( $ 5.25 ) ) / 100 - - > ( $ 95 ) / 100 - - > $ 0.95 therefore , chef wages per hour = $ 5.25 + $ 0.95 = = > $ 6.20 difference of wages between manager and chef = $ 10.50 - $ 6.20 = = > $ 4.30 answer : e" |
in a certain parking lot , X% of the cars are towed for parking illegally . however 80 % of the cars which are parked illegally are not towed . what percentage of cars in the parking lot are parked illegally ?
If the answer to the question is 20 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. some C. small amount D. tiny amount | D | in a certain parking lot , 4 % of the cars are towed for parking illegally . however 80 % of the cars which are parked illegally are not towed . what percentage of cars in the parking lot are parked illegally ? | "let x be the number of cars and let y be the number of cars parked illegally . 4 % * x = 20 % * y y / x = 1 / 5 = 20 % the answer is a ." |
in a certain parking lot , 4 % of the cars are towed for parking illegally . however X% of the cars which are parked illegally are not towed . what percentage of cars in the parking lot are parked illegally ?
If the answer to the question is 20 %, 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. most | B | in a certain parking lot , 4 % of the cars are towed for parking illegally . however 80 % of the cars which are parked illegally are not towed . what percentage of cars in the parking lot are parked illegally ? | "let x be the number of cars and let y be the number of cars parked illegally . 4 % * x = 20 % * y y / x = 1 / 5 = 20 % the answer is a ." |
a person buys an article at rs . 400 . at what price should he sell the article so as to make a profit of X% ?
If the answer to the question is 560, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. most C. moderate amount D. tiny amount | C | a person buys an article at rs . 400 . at what price should he sell the article so as to make a profit of 40 % ? | "cost price = rs . 400 profit = 40 % of 400 = rs . 160 selling price = cost price + profit = 400 + 160 = 560 answer : c" |
an order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth . what be the cost of a carpet whose length and breadth are X% more and 25 % more respectively than the first carpet . given that the ratio of carpet is rs . 45 per sq m ?
If the answer to the question is rs . 4082.40, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. some C. moderate amount D. none | C | an order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth . what be the cost of a carpet whose length and breadth are 40 % more and 25 % more respectively than the first carpet . given that the ratio of carpet is rs . 45 per sq m ? | "length of the first carpet = ( 1.44 ) ( 6 ) = 8.64 cm area of the second carpet = 8.64 ( 1 + 40 / 100 ) 6 ( 1 + 25 / 100 ) = 51.84 ( 1.4 ) ( 5 / 4 ) sq m = ( 12.96 ) ( 7 ) sq m cost of the second carpet = ( 45 ) ( 12.96 * 7 ) = 315 ( 13 - 0.04 ) = 4095 - 12.6 = rs . 4082.40 answer : d" |
an order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth . what be the cost of a carpet whose length and breadth are 40 % more and X% more respectively than the first carpet . given that the ratio of carpet is rs . 45 per sq m ?
If the answer to the question is rs . 4082.40, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. some C. few D. tiny amount | B | an order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth . what be the cost of a carpet whose length and breadth are 40 % more and 25 % more respectively than the first carpet . given that the ratio of carpet is rs . 45 per sq m ? | "length of the first carpet = ( 1.44 ) ( 6 ) = 8.64 cm area of the second carpet = 8.64 ( 1 + 40 / 100 ) 6 ( 1 + 25 / 100 ) = 51.84 ( 1.4 ) ( 5 / 4 ) sq m = ( 12.96 ) ( 7 ) sq m cost of the second carpet = ( 45 ) ( 12.96 * 7 ) = 315 ( 13 - 0.04 ) = 4095 - 12.6 = rs . 4082.40 answer : d" |
a X% stock yields 8 % . the market value of the stock is :
If the answer to the question is rs . 137.50, 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. small amount D. some | B | a 11 % stock yields 8 % . the market value of the stock is : | "solution to obtain rs . 8 , investment = rs . 100 . to obtain rs . 11 , investment = rs . ( 100 / 8 x 11 ) = rs . 137.50 ∴ market value of rs . 100 stock = rs . 137.50 answer b" |
a 11 % stock yields X% . the market value of the stock is :
If the answer to the question is rs . 137.50, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. few C. moderate amount D. all | B | a 11 % stock yields 8 % . the market value of the stock is : | "solution to obtain rs . 8 , investment = rs . 100 . to obtain rs . 11 , investment = rs . ( 100 / 8 x 11 ) = rs . 137.50 ∴ market value of rs . 100 stock = rs . 137.50 answer b" |
each of the cucumbers in 100 pounds of cucumbers is composed of X% water , by weight . after some of the water evaporates , the cucumbers are now 95 % water by weight . what is the new weight of the cucumbers , in pounds ?
If the answer to the question is 20, 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 | B | each of the cucumbers in 100 pounds of cucumbers is composed of 99 % water , by weight . after some of the water evaporates , the cucumbers are now 95 % water by weight . what is the new weight of the cucumbers , in pounds ? | "out of 100 pounds 99 % or 99 pounds is water and 1 pound is non - water . after somewaterevaporates the cucumbers become 95 % water and 5 % of non - water , so now 1 pound of non - water composes 5 % of cucucmbers , which means that the new weight of cucumbers is 1 / 0.05 = 20 pounds . answer : b ." |
each of the cucumbers in 100 pounds of cucumbers is composed of 99 % water , by weight . after some of the water evaporates , the cucumbers are now X% water by weight . what is the new weight of the cucumbers , in pounds ?
If the answer to the question is 20, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. most C. moderate amount D. tiny amount | A | each of the cucumbers in 100 pounds of cucumbers is composed of 99 % water , by weight . after some of the water evaporates , the cucumbers are now 95 % water by weight . what is the new weight of the cucumbers , in pounds ? | "out of 100 pounds 99 % or 99 pounds is water and 1 pound is non - water . after somewaterevaporates the cucumbers become 95 % water and 5 % of non - water , so now 1 pound of non - water composes 5 % of cucucmbers , which means that the new weight of cucumbers is 1 / 0.05 = 20 pounds . answer : b ." |
a customer went to a shop and paid a total of $ 40 , out of which $ 1.28 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 $ 22.72, 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. small amount | B | a customer went to a shop and paid a total of $ 40 , out of which $ 1.28 was for sales tax on taxable purchases . if the tax rate was 8 % , then what was the cost of the tax free items ? | "the total cost was $ 40 . the tax was $ 1.28 let the original price of the taxable items = x given that tax rate = 8 % 0.08 x = 1.28 x = $ 16 the cost of the tax free items was $ 40 - $ 16 - $ 1.28 = $ 22.72 the answer is d ." |
a mixture of 150 liters of wine and water contains X% water . how much more water should be added so that water becomes 25 % of the new mixture ?
If the answer to the question is 20, 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 mixture of 150 liters of wine and water contains 15 % water . how much more water should be added so that water becomes 25 % of the new mixture ? | "number of liters of water in 150 liters of the mixture = 15 % of 150 = 15 / 100 * 150 = 22.5 liters . p liters of water added to the mixture to make water 25 % of the new mixture . total amount of water becomes ( 22.5 + p ) and total volume of mixture is ( 150 + p ) . ( 22.5 + p ) = 25 / 100 * ( 150 + p ) 90 + 4 p = 150 + p p = 20 liters . answer : c" |
a mixture of 150 liters of wine and water contains 15 % water . how much more water should be added so that water becomes X% of the new mixture ?
If the answer to the question is 20, 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. none D. some | D | a mixture of 150 liters of wine and water contains 15 % water . how much more water should be added so that water becomes 25 % of the new mixture ? | "number of liters of water in 150 liters of the mixture = 15 % of 150 = 15 / 100 * 150 = 22.5 liters . p liters of water added to the mixture to make water 25 % of the new mixture . total amount of water becomes ( 22.5 + p ) and total volume of mixture is ( 150 + p ) . ( 22.5 + p ) = 25 / 100 * ( 150 + p ) 90 + 4 p = 150 + p p = 20 liters . answer : c" |
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