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set s consists of integers { 7 , 8 , 10 , 12 , 13 } . if integer n is included in the set , the average ( arithmetic mean ) of set s will increase by X% . what is the value of integer n ?
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. moderate amount B. tiny amount C. few D. all | C | set s consists of integers { 7 , 8 , 10 , 12 , 13 } . if integer n is included in the set , the average ( arithmetic mean ) of set s will increase by 10 % . what is the value of integer n ? | "the average of the numbers in set s is 10 . if we increase the mean by 10 % , the new mean is 11 . thus , on average , 5 numbers increase by 1 . therefore n = 11 + 5 = 16 the answer is c ." |
the owner of a furniture shop charges his customer X% more than the cost price . if a customer paid rs . 2000 for a computer table , then what was the cost price of the computer table ?
If the answer to the question is 1250, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. tiny amount C. moderate amount D. small amount | A | the owner of a furniture shop charges his customer 60 % more than the cost price . if a customer paid rs . 2000 for a computer table , then what was the cost price of the computer table ? | "cp = sp * ( 100 / ( 100 + profit % ) ) = 1250 ( 100 / 160 ) = rs . 1250 . answer : c" |
on a certain road X% of the motorists exceed the posted speed limit and receive speeding tickets , but 60 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on the road exceed the posted speed limit ?
If the answer to the question is 25 %, 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 | on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but 60 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on the road exceed the posted speed limit ? | "0.1 m = 0.40 e = > e / m = 1 / 4 * 100 = 25 % so answer is e . m - # of motorists e - # of motorists exceeding speed" |
on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but X% of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on the road exceed the posted speed limit ?
If the answer to the question is 25 %, 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. small amount | C | on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but 60 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on the road exceed the posted speed limit ? | "0.1 m = 0.40 e = > e / m = 1 / 4 * 100 = 25 % so answer is e . m - # of motorists e - # of motorists exceeding speed" |
the length of a rectangle is reduced by X% . by what % would the width have to be increased to maintainthe original area ?
If the answer to the question is 25 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. tiny amount C. all D. small amount | D | the length of a rectangle is reduced by 20 % . by what % would the width have to be increased to maintainthe original area ? | "sol . required change = ( 20 * 100 ) / ( 100 - 20 ) = 25 % c" |
the compound interest earned by sunil on a certain amount at the end of two years at the rate of X% p . a . was rs . 420 . find the total amount that sunil got back at the end of two years in the form of principal plus interest earned .
If the answer to the question is rs . 2420, 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. none D. moderate amount | B | the compound interest earned by sunil on a certain amount at the end of two years at the rate of 10 % p . a . was rs . 420 . find the total amount that sunil got back at the end of two years in the form of principal plus interest earned . | "let the sum be rs . p p { [ 1 + 10 / 100 ] 2 - 1 } = 420 p ( 10 / 100 ) ( 2 + 10 / 100 ) = 420 [ a 2 - b 2 = ( a - b ) ( a + b ) ] p = 420 / ( 0.1 ) ( 2.1 ) = 2000 . amount = 2000 + 420 = rs . 2420 answer : c" |
a man gains X% by selling an article for a certain price . if he sells it at double the price , the percentage of profit will be .
If the answer to the question is 260 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. all C. moderate amount D. tiny amount | C | a man gains 30 % by selling an article for a certain price . if he sells it at double the price , the percentage of profit will be . | "explanation : let the c . p . = x , then s . p . = ( 130 / 100 ) x = 13 x / 10 new s . p . = 2 ( 13 x / 10 ) = 26 x / 10 profit = 26 x / 10 - x = 26 x / 10 profit % = ( profit / c . p . ) * 100 = > ( 26 x / 10 ) * ( 1 / x ) * 100 = 260 % option d" |
the list price of an article is rs . 70 . a customer pays rs . 56.16 for it . he was given two successive discounts , one of them being X% . the other discount is ?
If the answer to the question is 10.85 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. none C. most D. few | D | the list price of an article is rs . 70 . a customer pays rs . 56.16 for it . he was given two successive discounts , one of them being 10 % . the other discount is ? | "70 * ( 90 / 100 ) * ( ( 100 - x ) / 100 ) = 56.16 x = 10.85 % answer : a" |
the s . i . on a certain sum of money for 2 years at X% per annum is half the c . i . on rs . 4000 for 2 years at 10 % per annum . the sum placed on s . i . is ?
If the answer to the question is 5250, 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. moderate amount | C | the s . i . on a certain sum of money for 2 years at 4 % per annum is half the c . i . on rs . 4000 for 2 years at 10 % per annum . the sum placed on s . i . is ? | "explanation : c . i . = [ 4000 * ( 1 + 10 / 100 ) 2 - 4000 ] = ( 4000 * 11 / 10 * 11 / 10 - 4000 ) = rs . 840 . sum = ( 420 * 100 ) / ( 3 * 8 ) = rs . 5250 answer : a" |
the s . i . on a certain sum of money for 2 years at 4 % per annum is half the c . i . on rs . 4000 for 2 years at X% per annum . the sum placed on s . i . is ?
If the answer to the question is 5250, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. all C. few D. none | C | the s . i . on a certain sum of money for 2 years at 4 % per annum is half the c . i . on rs . 4000 for 2 years at 10 % per annum . the sum placed on s . i . is ? | "explanation : c . i . = [ 4000 * ( 1 + 10 / 100 ) 2 - 4000 ] = ( 4000 * 11 / 10 * 11 / 10 - 4000 ) = rs . 840 . sum = ( 420 * 100 ) / ( 3 * 8 ) = rs . 5250 answer : a" |
a jar was full with honey . a person used to draw out X% of the honey from the jar and replaced it with sugar solution . he has repeated the same process 4 times and thus there was only 512 gm of honey left in the jar , the rest part of the jar was filled with the sugar solution . the initial amount of honey in the jar was filled with the sugar solution . the initial amount of honey in the jar was :
If the answer to the question is 1.25 kg, 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. tiny amount | A | a jar was full with honey . a person used to draw out 20 % of the honey from the jar and replaced it with sugar solution . he has repeated the same process 4 times and thus there was only 512 gm of honey left in the jar , the rest part of the jar was filled with the sugar solution . the initial amount of honey in the jar was filled with the sugar solution . the initial amount of honey in the jar was : | answer : a ) 1.25 kg |
carl is facing very difficult financial times and can only pay the interest on a $ 8,000 loan he has taken . the bank charges him a quarterly compound rate of X% . what is the approximate interest he pays annually ?
If the answer to the question is $ 1600, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. none C. few D. moderate amount | C | carl is facing very difficult financial times and can only pay the interest on a $ 8,000 loan he has taken . the bank charges him a quarterly compound rate of 5 % . what is the approximate interest he pays annually ? | "usually , you are given the annual rate of interest and it is mentioned that it is annual rate . the bank charges him a quarterly compounded annual rate of 20 % . here you find per quarter rate as ( 20 / 4 ) % = 5 % i have actually never seen a question with quarter rate given but since this question did not mentionannual rate of interestand since the options did not make sense with 5 % annual rate of interest , it is apparent that the intent was a 5 % quarterly rate . so the bank charges 5 % every quarter and compounds it in the next quarter . had it been a simple quarterly rate , we would have just found 4 * 5 % of 8,000 = $ 1600 as our answer . but since , the interest is compounded , it will be a bit more than $ 1600 . option ( e ) looks correct ." |
in an examination , X% of total students failed in hindi , 42 % failed in english and 28 % in both . the percentage of these who passed in both the subjects is :
If the answer to the question is 56, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. most C. all D. moderate amount | D | in an examination , 30 % of total students failed in hindi , 42 % failed in english and 28 % in both . the percentage of these who passed in both the subjects is : | "explanation : formula n ( a â ˆ ª b ) = n ( a ) + n ( b ) â ˆ ’ n ( a â ˆ © b ) fail in hindi or english = 30 + 42 â € “ 28 = 44 therefore students who passed = 100 â € “ 44 = 56 . answer : c" |
in an examination , 30 % of total students failed in hindi , X% failed in english and 28 % in both . the percentage of these who passed in both the subjects is :
If the answer to the question is 56, 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 | in an examination , 30 % of total students failed in hindi , 42 % failed in english and 28 % in both . the percentage of these who passed in both the subjects is : | "explanation : formula n ( a â ˆ ª b ) = n ( a ) + n ( b ) â ˆ ’ n ( a â ˆ © b ) fail in hindi or english = 30 + 42 â € “ 28 = 44 therefore students who passed = 100 â € “ 44 = 56 . answer : c" |
in an examination , 30 % of total students failed in hindi , 42 % failed in english and X% in both . the percentage of these who passed in both the subjects is :
If the answer to the question is 56, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. small amount C. all D. few | A | in an examination , 30 % of total students failed in hindi , 42 % failed in english and 28 % in both . the percentage of these who passed in both the subjects is : | "explanation : formula n ( a â ˆ ª b ) = n ( a ) + n ( b ) â ˆ ’ n ( a â ˆ © b ) fail in hindi or english = 30 + 42 â € “ 28 = 44 therefore students who passed = 100 â € “ 44 = 56 . answer : c" |
a person purchases 90 clocks and sells 40 clocks at a gain of X% and 50 clocks at a gain of 20 % . if he sold all of them at a uniform profit of 15 % , then he would have got rs . 40 less . the cost price of each clock 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. none B. all C. few D. moderate amount | C | a person purchases 90 clocks and sells 40 clocks at a gain of 10 % and 50 clocks at a gain of 20 % . if he sold all of them at a uniform profit of 15 % , then he would have got rs . 40 less . the cost price of each clock is : ? | "let c . p . of clock be rs . x . then , c . p . of 90 clocks = rs . 90 x . [ ( 110 % of 40 x ) + ( 120 % of 50 x ) ] - ( 115 % of 90 x ) = 40 44 x + 60 x - 103.5 x = 40 0.5 x = 40 = > x = 80 answer : c" |
a person purchases 90 clocks and sells 40 clocks at a gain of 10 % and 50 clocks at a gain of X% . if he sold all of them at a uniform profit of 15 % , then he would have got rs . 40 less . the cost price of each clock 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. small amount C. few D. none | B | a person purchases 90 clocks and sells 40 clocks at a gain of 10 % and 50 clocks at a gain of 20 % . if he sold all of them at a uniform profit of 15 % , then he would have got rs . 40 less . the cost price of each clock is : ? | "let c . p . of clock be rs . x . then , c . p . of 90 clocks = rs . 90 x . [ ( 110 % of 40 x ) + ( 120 % of 50 x ) ] - ( 115 % of 90 x ) = 40 44 x + 60 x - 103.5 x = 40 0.5 x = 40 = > x = 80 answer : c" |
a person purchases 90 clocks and sells 40 clocks at a gain of 10 % and 50 clocks at a gain of 20 % . if he sold all of them at a uniform profit of X% , then he would have got rs . 40 less . the cost price of each clock 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. some C. tiny amount D. all | A | a person purchases 90 clocks and sells 40 clocks at a gain of 10 % and 50 clocks at a gain of 20 % . if he sold all of them at a uniform profit of 15 % , then he would have got rs . 40 less . the cost price of each clock is : ? | "let c . p . of clock be rs . x . then , c . p . of 90 clocks = rs . 90 x . [ ( 110 % of 40 x ) + ( 120 % of 50 x ) ] - ( 115 % of 90 x ) = 40 44 x + 60 x - 103.5 x = 40 0.5 x = 40 = > x = 80 answer : c" |
at a certain university , X% of the professors are women , and 70 % of the professors are tenured . if 90 % of the professors are women , tenured , or both , then what percent of the men are tenured ?
If the answer to the question is 60, 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. few | A | at a certain university , 66 % of the professors are women , and 70 % of the professors are tenured . if 90 % of the professors are women , tenured , or both , then what percent of the men are tenured ? | "answer is 75 % total women = 66 % total men = 40 % total tenured = 70 % ( both men and women ) therefore , women tenured + women professors + men tenured = 90 % men tenured = 24 % but question wants to know the percent of men that are tenured 24 % / 40 % = 60 % c" |
at a certain university , 66 % of the professors are women , and X% of the professors are tenured . if 90 % of the professors are women , tenured , or both , then what percent of the men are tenured ?
If the answer to the question is 60, 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. moderate amount D. most | D | at a certain university , 66 % of the professors are women , and 70 % of the professors are tenured . if 90 % of the professors are women , tenured , or both , then what percent of the men are tenured ? | "answer is 75 % total women = 66 % total men = 40 % total tenured = 70 % ( both men and women ) therefore , women tenured + women professors + men tenured = 90 % men tenured = 24 % but question wants to know the percent of men that are tenured 24 % / 40 % = 60 % c" |
at a certain university , 66 % of the professors are women , and 70 % of the professors are tenured . if X% of the professors are women , tenured , or both , then what percent of the men are tenured ?
If the answer to the question is 60, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. few C. some D. all | D | at a certain university , 66 % of the professors are women , and 70 % of the professors are tenured . if 90 % of the professors are women , tenured , or both , then what percent of the men are tenured ? | "answer is 75 % total women = 66 % total men = 40 % total tenured = 70 % ( both men and women ) therefore , women tenured + women professors + men tenured = 90 % men tenured = 24 % but question wants to know the percent of men that are tenured 24 % / 40 % = 60 % c" |
a farmer spent $ 35 on feed for chickens and goats . he spent X% money on chicken feed , which he bought at a 50 % discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have spent on the chicken feed and goat feed combined ?
If the answer to the question is $ 49, 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. most | A | a farmer spent $ 35 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a 50 % discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have spent on the chicken feed and goat feed combined ? | a farmer spent 40 % money on chicken feed , so he spent 0.4 * $ 35 = $ 14 on chicken feed , thus he spent the remaining 35 - 14 = $ 21 on goat feed . now , since he bought chicken feed at a 20 % discount then the original price of it was x * 0.5 = $ 14 - - > x = $ 28 . therefore if the farmer had paid full price for both the chicken feed and the goat feed , then he would he have spent 28 + 21 = $ 49 . answer : b . |
a farmer spent $ 35 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a X% discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have spent on the chicken feed and goat feed combined ?
If the answer to the question is $ 49, 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. few | B | a farmer spent $ 35 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a 50 % discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have spent on the chicken feed and goat feed combined ? | a farmer spent 40 % money on chicken feed , so he spent 0.4 * $ 35 = $ 14 on chicken feed , thus he spent the remaining 35 - 14 = $ 21 on goat feed . now , since he bought chicken feed at a 20 % discount then the original price of it was x * 0.5 = $ 14 - - > x = $ 28 . therefore if the farmer had paid full price for both the chicken feed and the goat feed , then he would he have spent 28 + 21 = $ 49 . answer : b . |
the salary of a person was reduced by X% . by what percent should his reduced salary be raised so as to bring it at par with his original salary ?
If the answer to the question is 16.3 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. all C. some D. small amount | D | the salary of a person was reduced by 14 % . by what percent should his reduced salary be raised so as to bring it at par with his original salary ? | let the original salary be $ 100 new salary = $ 86 increase on 86 = 14 increase on 100 = 14 / 86 * 100 = 16.3 % answer is b |
a man invested rs . 14,400 in rs . 100 shares of a company at X% premium . if the company declares 5 % dividend at the end of the year , then how much does he get ?
If the answer to the question is rs . 576, 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 | B | a man invested rs . 14,400 in rs . 100 shares of a company at 25 % premium . if the company declares 5 % dividend at the end of the year , then how much does he get ? | "solution number of shares = ( 14400 / 125 ) = 115.2 . face value = rs . ( 100 x 115.2 ) = rs . 11520 . annual income = rs . ( 5 / 100 x 11520 ) = rs . 576 . answer a" |
a man invested rs . 14,400 in rs . 100 shares of a company at 2X% premium . if the company declares 5 % dividend at the end of the year , then how much does he get ?
If the answer to the question is rs . 576, 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 | C | a man invested rs . 14,400 in rs . 100 shares of a company at 25 % premium . if the company declares 5 % dividend at the end of the year , then how much does he get ? | "solution number of shares = ( 14400 / 125 ) = 115.2 . face value = rs . ( 100 x 115.2 ) = rs . 11520 . annual income = rs . ( 5 / 100 x 11520 ) = rs . 576 . answer a" |
X% of a number is added to 60 , the result is the same number . find the number ?
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. moderate amount B. some C. most D. few | A | 40 % of a number is added to 60 , the result is the same number . find the number ? | "( 40 / 100 ) * x + 60 = x 4 x + 600 = 10 x 6 x = 600 x = 100 answer : d" |
if the sides of a rectangle are increased by X% , what is the percentage increase in the area ?
If the answer to the question is 82.25 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. none C. moderate amount D. most | C | if the sides of a rectangle are increased by 35 % , what is the percentage increase in the area ? | if sides are a and b , after increase sides would be 1.35 a and 1.35 b . percentage increase in area = ( 1.35 a * 1.35 b - ab ) * 100 / ab = 82.25 answer : c |
the percentage increase in the area of a rectangle , if each of its sides is increased by X% is ?
If the answer to the question is 44 %, 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. few | C | the percentage increase in the area of a rectangle , if each of its sides is increased by 20 % is ? | "let original length = x metres and original breadth = y metres . original area = ( xy ) m 2 . new length = 120 x m = 6 x m . 100 5 new breadth = 120 y m = 6 y m . 100 5 new area = 6 x x 6 y m 2 = 36 xy m 2 . 5 5 25 the difference between the original area = xy and new - area 36 / 25 xy is = ( 36 / 25 ) xy - xy = xy ( 36 / 25 - 1 ) = xy ( 11 / 25 ) or ( 11 / 25 ) xy increase % = 11 xy x 1 x 100 % = 44 % . a )" |
a man buys 20 lts of liquid which contains X% of the liquid and the rest is water . he then mixes it with 20 lts of another mixture with 20 % of liquid . what is the % of water in the new mixture ?
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. some B. most C. moderate amount D. all | C | a man buys 20 lts of liquid which contains 30 % of the liquid and the rest is water . he then mixes it with 20 lts of another mixture with 20 % of liquid . what is the % of water in the new mixture ? | "30 % in 20 lts is 6 . so water = 20 - 6 = 14 lts . 20 % of 20 lts = 4 . so water in 2 nd mixture = 20 - 4 = 16 lts . now total quantity = 20 + 20 = 40 lts . total water in it will be 14 + 16 = 30 lts . % of water = ( 100 * 30 ) / 40 = 75 . answer : d" |
a man buys 20 lts of liquid which contains 30 % of the liquid and the rest is water . he then mixes it with 20 lts of another mixture with X% of liquid . what is the % of water in the new mixture ?
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. some C. tiny amount D. none | A | a man buys 20 lts of liquid which contains 30 % of the liquid and the rest is water . he then mixes it with 20 lts of another mixture with 20 % of liquid . what is the % of water in the new mixture ? | "30 % in 20 lts is 6 . so water = 20 - 6 = 14 lts . 20 % of 20 lts = 4 . so water in 2 nd mixture = 20 - 4 = 16 lts . now total quantity = 20 + 20 = 40 lts . total water in it will be 14 + 16 = 30 lts . % of water = ( 100 * 30 ) / 40 = 75 . answer : d" |
set s consists of integers { 8 , 11 , 12 , 14 , 15 } . if integer n is included in the set , the average ( arithmetic mean ) of set s will increase by X% . what is the value of integer n ?
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. small amount B. some C. tiny amount D. most | B | set s consists of integers { 8 , 11 , 12 , 14 , 15 } . if integer n is included in the set , the average ( arithmetic mean ) of set s will increase by 25 % . what is the value of integer n ? | the average of the numbers in set s is 12 . if we increase the mean by 25 % , the new mean is 15 . thus , on average , 5 numbers increase by 5 . therefore n = 15 + 25 = 40 the answer is d . |
3 ltr of water is added with 9 ltr of a solution containing X% of alcohol in the water . the % of alcohol in the new mixture is ?
If the answer to the question is 42.75 %, 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. most | D | 3 ltr of water is added with 9 ltr of a solution containing 57 % of alcohol in the water . the % of alcohol in the new mixture is ? | "we have a 9 litre solution containing 57 % of alcohol in the water . = > quantity of alcohol in the solution = 9 ã — 57 / 100 now 3 litre of water is added to the solution . = > total quantity of the new solution = 9 + 3 = 12 percentage of alcohol in the new solution = 9 ã — 57 / 100 12 ã — 100 = 9 ã — 5710012 ã — 100 = 9 ã — 4.75 / 100 = 42.75 % b" |
the length and breadth of a rectangle is increased by X% and 15 % respectively . what is the increase in the area ?
If the answer to the question is 20.75, 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. tiny amount | A | the length and breadth of a rectangle is increased by 5 % and 15 % respectively . what is the increase in the area ? | "100 * 100 = 10000 105 * 115 = 12075 - - - - - - - - - - - 2075 10000 - - - - - - 2075 100 - - - - - ? = > 20.75 answer d" |
the length and breadth of a rectangle is increased by 5 % and X% respectively . what is the increase in the area ?
If the answer to the question is 20.75, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. none C. small amount D. all | C | the length and breadth of a rectangle is increased by 5 % and 15 % respectively . what is the increase in the area ? | "100 * 100 = 10000 105 * 115 = 12075 - - - - - - - - - - - 2075 10000 - - - - - - 2075 100 - - - - - ? = > 20.75 answer d" |
a chemical supply company has 60 liters of a X% hno 3 solution . how many liters of pure undiluted hno 3 must the chemists add so that the resultant solution is a 50 % solution ?
If the answer to the question is 18, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. none C. all D. small amount | A | a chemical supply company has 60 liters of a 35 % hno 3 solution . how many liters of pure undiluted hno 3 must the chemists add so that the resultant solution is a 50 % solution ? | "60 liters of a 35 % hno 3 solution means hno 3 = 21 liters in 60 liters of the solution . now , let x be the pure hno 3 added . as per question , 21 + x = 50 % of ( 60 + x ) or x = 18 hence , a" |
a chemical supply company has 60 liters of a 35 % hno 3 solution . how many liters of pure undiluted hno 3 must the chemists add so that the resultant solution is a X% solution ?
If the answer to the question is 18, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. all C. tiny amount D. moderate amount | D | a chemical supply company has 60 liters of a 35 % hno 3 solution . how many liters of pure undiluted hno 3 must the chemists add so that the resultant solution is a 50 % solution ? | "60 liters of a 35 % hno 3 solution means hno 3 = 21 liters in 60 liters of the solution . now , let x be the pure hno 3 added . as per question , 21 + x = 50 % of ( 60 + x ) or x = 18 hence , a" |
at a certain conference , X% of the attendees registered at least two weeks in advance and paid their conference fee in full . if 10 % of the attendees who paid their conference fee in full did not register at least two weeks in advance , what percent of conference attendees registered at least two weeks in advance ?
If the answer to the question is 86.67 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. none C. most D. tiny amount | C | at a certain conference , 78 % of the attendees registered at least two weeks in advance and paid their conference fee in full . if 10 % of the attendees who paid their conference fee in full did not register at least two weeks in advance , what percent of conference attendees registered at least two weeks in advance ? | i do not think that venn will be helpful here . a table will make more sense . but here is my approach . 78 % regestered at least 2 weeks and paid full fee . 10 % paid full fee and did not registered at least 2 weeks in advance . then 90 % paid full fee and registered at least 2 weeks before . 90 % * x = 78 % where x is the number of people who registerd 2 weeks in advance and paid full fee . ( answer d ) |
at a certain conference , 78 % of the attendees registered at least two weeks in advance and paid their conference fee in full . if X% of the attendees who paid their conference fee in full did not register at least two weeks in advance , what percent of conference attendees registered at least two weeks in advance ?
If the answer to the question is 86.67 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. few C. small amount D. some | B | at a certain conference , 78 % of the attendees registered at least two weeks in advance and paid their conference fee in full . if 10 % of the attendees who paid their conference fee in full did not register at least two weeks in advance , what percent of conference attendees registered at least two weeks in advance ? | i do not think that venn will be helpful here . a table will make more sense . but here is my approach . 78 % regestered at least 2 weeks and paid full fee . 10 % paid full fee and did not registered at least 2 weeks in advance . then 90 % paid full fee and registered at least 2 weeks before . 90 % * x = 78 % where x is the number of people who registerd 2 weeks in advance and paid full fee . ( answer d ) |
the population of a town is 10000 . it increases annually at the rate of X% p . a . what will be its population after 5 years ?
If the answer to the question is 24883, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. small amount C. none D. tiny amount | B | the population of a town is 10000 . it increases annually at the rate of 20 % p . a . what will be its population after 5 years ? | "formula : ( after = 100 denominator ago = 100 numerator ) 10000 × 120 / 100 ^ 5 = 24883 b )" |
by selling an article at rs . 500 , a profit of X% is made . find its cost price ?
If the answer to the question is 400, 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. some D. most | C | by selling an article at rs . 500 , a profit of 25 % is made . find its cost price ? | "sp = 500 cp = ( sp ) * [ 100 / ( 100 + p ) ] = 500 * [ 100 / ( 100 + 25 ) ] = 500 * [ 100 / 125 ] = rs . 400 answer : a" |
the cash realised on selling a X% stock is rs . 106.25 , brokerage being 1 / 4 % is ?
If the answer to the question is 106, 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. moderate amount D. small amount | D | the cash realised on selling a 14 % stock is rs . 106.25 , brokerage being 1 / 4 % is ? | "cash realised = rs . ( 106.25 - 0.25 ) = rs . 106 . answer : b" |
the cash realised on selling a 1X% stock is rs . 106.25 , brokerage being 1 / 4 % is ?
If the answer to the question is 106, 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 | C | the cash realised on selling a 14 % stock is rs . 106.25 , brokerage being 1 / 4 % is ? | "cash realised = rs . ( 106.25 - 0.25 ) = rs . 106 . answer : b" |
a reduction of X% in the price of oil enables a house wife to obtain 5 kgs more for rs . 900 , what is the reduced price for kg ?
If the answer to the question is 45, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. all C. small amount D. tiny amount | A | a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 900 , what is the reduced price for kg ? | "a 900 * ( 25 / 100 ) = 225 - - - - 5 ? - - - - 1 = > rs . 45" |
a salesman ’ s terms were changed from a flat commission of X% on all his sales to a fixed salary of rs . 1000 plus 2.5 % commission on all sales exceeding rs . 4,000 . if his remuneration as per new scheme was rs . 600 more than that by the previous schema , his sales were worth ?
If the answer to the question is 12000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. few C. all D. none | B | a salesman ’ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs . 1000 plus 2.5 % commission on all sales exceeding rs . 4,000 . if his remuneration as per new scheme was rs . 600 more than that by the previous schema , his sales were worth ? | "[ 1000 + ( x - 4000 ) * ( 2.5 / 100 ) ] - x * ( 5 / 100 ) = 600 x = 12000 answer : b" |
a salesman ’ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs . 1000 plus X% commission on all sales exceeding rs . 4,000 . if his remuneration as per new scheme was rs . 600 more than that by the previous schema , his sales were worth ?
If the answer to the question is 12000, 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. moderate amount | A | a salesman ’ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs . 1000 plus 2.5 % commission on all sales exceeding rs . 4,000 . if his remuneration as per new scheme was rs . 600 more than that by the previous schema , his sales were worth ? | "[ 1000 + ( x - 4000 ) * ( 2.5 / 100 ) ] - x * ( 5 / 100 ) = 600 x = 12000 answer : b" |
a person purchases 90 clocks and sells 40 clocks at a gain of X% and 50 clocks at a gain of 20 % . if he sold all of them at a uniform profit of 15 % , then he would have got rs . 40 less . the cost price of each clock 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. few B. some C. most D. tiny amount | A | a person purchases 90 clocks and sells 40 clocks at a gain of 10 % and 50 clocks at a gain of 20 % . if he sold all of them at a uniform profit of 15 % , then he would have got rs . 40 less . the cost price of each clock is : | let c . p . of clock be rs . x . then , c . p . of 90 clocks = rs . 90 x . [ ( 110 % of 40 x ) + ( 120 % of 50 x ) ] - ( 115 % of 90 x ) = 40 44 x + 60 x - 103.5 x = 40 0.5 x = 40 = > x = 80 answer : option c |
a person purchases 90 clocks and sells 40 clocks at a gain of 10 % and 50 clocks at a gain of X% . if he sold all of them at a uniform profit of 15 % , then he would have got rs . 40 less . the cost price of each clock 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. tiny amount B. small amount C. few D. all | B | a person purchases 90 clocks and sells 40 clocks at a gain of 10 % and 50 clocks at a gain of 20 % . if he sold all of them at a uniform profit of 15 % , then he would have got rs . 40 less . the cost price of each clock is : | let c . p . of clock be rs . x . then , c . p . of 90 clocks = rs . 90 x . [ ( 110 % of 40 x ) + ( 120 % of 50 x ) ] - ( 115 % of 90 x ) = 40 44 x + 60 x - 103.5 x = 40 0.5 x = 40 = > x = 80 answer : option c |
a person purchases 90 clocks and sells 40 clocks at a gain of 10 % and 50 clocks at a gain of 20 % . if he sold all of them at a uniform profit of X% , then he would have got rs . 40 less . the cost price of each clock 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. all B. small amount C. most D. tiny amount | B | a person purchases 90 clocks and sells 40 clocks at a gain of 10 % and 50 clocks at a gain of 20 % . if he sold all of them at a uniform profit of 15 % , then he would have got rs . 40 less . the cost price of each clock is : | let c . p . of clock be rs . x . then , c . p . of 90 clocks = rs . 90 x . [ ( 110 % of 40 x ) + ( 120 % of 50 x ) ] - ( 115 % of 90 x ) = 40 44 x + 60 x - 103.5 x = 40 0.5 x = 40 = > x = 80 answer : option c |
an inspector rejects X% of the meters as defective . how many will he examine to reject 4 ?
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. all B. none C. some D. moderate amount | B | an inspector rejects 0.05 % of the meters as defective . how many will he examine to reject 4 ? | "let the number of meters to be examined be x then , 0.05 % of x = 4 ( 5 / 100 ) * ( ( 1 / 100 ) * x = 4 x = 8000 answer is b" |
what is the compound interest paid on a sum of rs . 3000 for the period of 2 years at X% per annum .
If the answer to the question is 630, 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 | what is the compound interest paid on a sum of rs . 3000 for the period of 2 years at 10 % per annum . | "solution = interest % for 1 st year = 10 interest % for 2 nd year = 10 + 10 % of 10 = 10 + 10 * 10 / 100 = 11 total % of interest = 10 + 11 = 21 total interest = 21 % 3000 = 3000 * ( 21 / 100 ) = 630 answer a" |
the principal that amounts to rs . 4813 in 3 years at 6 1 / X% per annum c . i . compounded annually , is ?
If the answer to the question is s . 4036, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. most C. none D. tiny amount | D | the principal that amounts to rs . 4813 in 3 years at 6 1 / 4 % per annum c . i . compounded annually , is ? | "principal = [ 4913 / ( 1 + 25 / ( 4 * 100 ) ) 3 ] = 4813 * 16 / 17 * 16 / 17 * 16 / 17 = rs . 4036 . answer : b" |
the first flight out of phoenix airport had a late departure . if the next 3 flights departed on - time , how many subsequent flights need to depart from phoenix on - time , for the airport ' s on - time departure rate to be higher than X% ?
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. few B. some C. moderate amount D. all | C | the first flight out of phoenix airport had a late departure . if the next 3 flights departed on - time , how many subsequent flights need to depart from phoenix on - time , for the airport ' s on - time departure rate to be higher than 40 % ? | we need on - time departure rate to be higher than 4 / 10 , so it should be at least 5 / 11 , which means that 5 out of 11 flights must depart on time . since for now 3 out of 4 flights departed on time then 5 - 3 = 2 subsequent flights need to depart on - time . answer : d |
two years ago , ram put $ 500 into a savings account . at the end of the first year , his account had accrued $ 100 in interest bringing his total balance to $ 600 . the next year , his account balance increased by X% . at the end of the two years , by what percent has ram ' s account balance increased from his initial deposit of $ 500 ?
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. few B. most C. some D. none | A | two years ago , ram put $ 500 into a savings account . at the end of the first year , his account had accrued $ 100 in interest bringing his total balance to $ 600 . the next year , his account balance increased by 10 % . at the end of the two years , by what percent has ram ' s account balance increased from his initial deposit of $ 500 ? | investment 500 dollars 1 st year total gained = 100 total amount end of first year = 600 second year account increased by 10 % = 600 * 0.1 = 60 therefore total amount by second year end = 660 so total percentage increase in money = ( 660 - 500 ) * 100 / 500 = 32 % correct answer d = 32 % |
population of a city in 20004 was 1000000 . if in 2005 there isan increment of X% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 % , then find the population of city atthe end of the year 2007
If the answer to the question is 1036750, 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. moderate amount | B | population of a city in 20004 was 1000000 . if in 2005 there isan increment of 10 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 % , then find the population of city atthe end of the year 2007 | "required population = p ( 1 + r 1 / 100 ) ( 1 - r 2 / 100 ) ( 1 + r 3 / 100 ) = p ( 1 + 10 / 100 ) ( 1 - 35 / 100 ) ( 1 + 45 / 100 ) = 1036750 d" |
population of a city in 20004 was 1000000 . if in 2005 there isan increment of 10 % , in 2006 there is a decrements of X% and in 2007 there is an increment of 45 % , then find the population of city atthe end of the year 2007
If the answer to the question is 1036750, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. none C. tiny amount D. moderate amount | D | population of a city in 20004 was 1000000 . if in 2005 there isan increment of 10 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 % , then find the population of city atthe end of the year 2007 | "required population = p ( 1 + r 1 / 100 ) ( 1 - r 2 / 100 ) ( 1 + r 3 / 100 ) = p ( 1 + 10 / 100 ) ( 1 - 35 / 100 ) ( 1 + 45 / 100 ) = 1036750 d" |
population of a city in 20004 was 1000000 . if in 2005 there isan increment of 10 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of X% , then find the population of city atthe end of the year 2007
If the answer to the question is 1036750, 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. most D. all | A | population of a city in 20004 was 1000000 . if in 2005 there isan increment of 10 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 % , then find the population of city atthe end of the year 2007 | "required population = p ( 1 + r 1 / 100 ) ( 1 - r 2 / 100 ) ( 1 + r 3 / 100 ) = p ( 1 + 10 / 100 ) ( 1 - 35 / 100 ) ( 1 + 45 / 100 ) = 1036750 d" |
if the price of an article went up by X% , then by what percent should it be brought down to bring it back to its original price ?
If the answer to the question is 23 1 / 13 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. most C. moderate amount D. few | C | if the price of an article went up by 30 % , then by what percent should it be brought down to bring it back to its original price ? | "let the price of the article be rs . 100 . 30 % of 100 = 30 . new price = 100 + 30 = rs . 130 required percentage = ( 130 - 100 ) / 130 * 100 = 30 / 130 * 100 = 23 1 / 13 % answer : b" |
what is X% of 3 / 5 ?
If the answer to the question is 0.492, 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. all D. small amount | C | what is 82 % of 3 / 5 ? | "82 % * ( 3 / 5 ) = 0.82 * 0.6 = 0.492 answer : 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 9 % . if ron imported a $ 18000 imported car and ended up paying $ 1950 in taxes , what is the first tier ' s price level ?
If the answer to the question is $ 11000, 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. small amount | C | 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 9 % . if ron imported a $ 18000 imported car and ended up paying $ 1950 in taxes , what is the first tier ' s price level ? | let t be the tier price , p be total price = 18000 per the given conditions : 0.12 t + 0.09 ( p - t ) = 1950 0.12 t + 0.09 * 18000 - 0.09 t = 1950 0.03 t + 1620 = 1950 0.03 t = 1950 - 1620 = 330 t = 330 / 0.03 = 11000 answer 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 X% . if ron imported a $ 18000 imported car and ended up paying $ 1950 in taxes , what is the first tier ' s price level ?
If the answer to the question is $ 11000, 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 | D | 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 9 % . if ron imported a $ 18000 imported car and ended up paying $ 1950 in taxes , what is the first tier ' s price level ? | let t be the tier price , p be total price = 18000 per the given conditions : 0.12 t + 0.09 ( p - t ) = 1950 0.12 t + 0.09 * 18000 - 0.09 t = 1950 0.03 t + 1620 = 1950 0.03 t = 1950 - 1620 = 330 t = 330 / 0.03 = 11000 answer b |
an error X% in excess is made while measuring the sideofa square . the % of error in the calculated area of the square is ?
If the answer to the question is 4.04 %, 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. all | C | an error 2 % in excess is made while measuring the sideofa square . the % of error in the calculated area of the square is ? | "100 cm is read as 102 cm . a 1 = ( 100 x 100 ) cm 2 and a 2 ( 102 x 102 ) cm 2 . ( a 2 - a 1 ) = [ ( 102 ) 2 - ( 100 ) 2 ] = ( 102 + 100 ) x ( 102 - 100 ) = 404 cm 2 . percentage error = 404 x 100 % = 4.04 % 100 x 100 b" |
what is the normal price of an article sold at $ 144 after two successive discounts of X% and 20 % ?
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. small amount B. most C. all D. few | D | what is the normal price of an article sold at $ 144 after two successive discounts of 10 % and 20 % ? | "0.8 * 0.9 * cost price = $ 144 cost price = $ 200 the answer is c ." |
what is the normal price of an article sold at $ 144 after two successive discounts of 10 % and X% ?
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. small amount B. all C. moderate amount D. tiny amount | A | what is the normal price of an article sold at $ 144 after two successive discounts of 10 % and 20 % ? | "0.8 * 0.9 * cost price = $ 144 cost price = $ 200 the answer is c ." |
if X% of 30 % of 50 % of a number is 108 , then what is the number ?
If the answer to the question is 4800, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. most C. small amount D. some | C | if 15 % of 30 % of 50 % of a number is 108 , then what is the number ? | "let the number be a given , 15 / 100 * 30 / 100 * 50 / 100 * a = 108 = > 3 / 20 * 3 / 10 * 1 / 2 * a = 108 = > a = 10 * 20 * 10 * 2 = 4800 . answer : d" |
if 15 % of X% of 50 % of a number is 108 , then what is the number ?
If the answer to the question is 4800, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. none C. few D. most | A | if 15 % of 30 % of 50 % of a number is 108 , then what is the number ? | "let the number be a given , 15 / 100 * 30 / 100 * 50 / 100 * a = 108 = > 3 / 20 * 3 / 10 * 1 / 2 * a = 108 = > a = 10 * 20 * 10 * 2 = 4800 . answer : d" |
if 15 % of 30 % of X% of a number is 108 , then what is the number ?
If the answer to the question is 4800, 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. small amount | A | if 15 % of 30 % of 50 % of a number is 108 , then what is the number ? | "let the number be a given , 15 / 100 * 30 / 100 * 50 / 100 * a = 108 = > 3 / 20 * 3 / 10 * 1 / 2 * a = 108 = > a = 10 * 20 * 10 * 2 = 4800 . answer : d" |
if X% of a number is equal to one - third of another number , what is the ratio of first number to the second number ?
If the answer to the question is 4 : 3, 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. some D. tiny amount | C | if 25 % of a number is equal to one - third of another number , what is the ratio of first number to the second number ? | "let 25 % of a = 1 / 3 b then 25 a / 100 = 1 b / 3 a / 4 = b / 3 a / b = 4 / 3 a : b = 4 : 3 answer is a" |
a manufacturer produces a certain men ' s athletic shoe in integer sizes from 8 to 17 . for this particular shoe , each unit increase in size corresponds to a 1 / 4 - inch increase in the length of the shoe . if the largest size of this shoe is X% longer than the smallest size , how long , in inches , is the shoe in size 15 ?
If the answer to the question is 24.25, 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. all D. few | D | a manufacturer produces a certain men ' s athletic shoe in integer sizes from 8 to 17 . for this particular shoe , each unit increase in size corresponds to a 1 / 4 - inch increase in the length of the shoe . if the largest size of this shoe is 10 % longer than the smallest size , how long , in inches , is the shoe in size 15 ? | "let x be the length of the size 8 shoe . then 0.1 x = 9 / 4 x = 90 / 4 inches the size 15 shoe has a length of 90 / 4 + 7 / 4 = 97 / 4 = 24.25 inches the answer is d ." |
by selling an article at rs . 600 , a shopkeeper makes a profit of X% . at what price should he sell the article so as to make a loss of 25 % ?
If the answer to the question is s . 360, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. all C. none D. some | D | by selling an article at rs . 600 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 25 % ? | "sp = 600 profit = 25 % cp = ( sp ) * [ 100 / ( 100 + p ) ] = 600 * [ 100 / 125 ] = 480 loss = 25 % = 25 % of 480 = rs . 120 sp = cp - loss = 480 - 120 = rs . 360 answer : a" |
by selling an article at rs . 600 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of X% ?
If the answer to the question is s . 360, 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. most D. some | D | by selling an article at rs . 600 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 25 % ? | "sp = 600 profit = 25 % cp = ( sp ) * [ 100 / ( 100 + p ) ] = 600 * [ 100 / 125 ] = 480 loss = 25 % = 25 % of 480 = rs . 120 sp = cp - loss = 480 - 120 = rs . 360 answer : a" |
a man invests some money partly in X% stock at 105 and partly in 8 % stock at 40 . to obtain equal dividends from both , he must invest the money in the ratio :
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. all C. small amount D. most | C | a man invests some money partly in 15 % stock at 105 and partly in 8 % stock at 40 . to obtain equal dividends from both , he must invest the money in the ratio : | "solution for an income of rs . 1 in 15 % stock at 105 , investment = rs . ( 105 / 15 ) = rs . 7 . for an income of rs . 1 in 8 % stock at 40 , investment = rs . ( 40 / 8 ) = rs . 5 . ∴ ratio of investments = 7 : 5 = 7 : 5 answer c" |
a man invests some money partly in 15 % stock at 105 and partly in X% stock at 40 . to obtain equal dividends from both , he must invest the money in the ratio :
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. small amount B. moderate amount C. few D. all | C | a man invests some money partly in 15 % stock at 105 and partly in 8 % stock at 40 . to obtain equal dividends from both , he must invest the money in the ratio : | "solution for an income of rs . 1 in 15 % stock at 105 , investment = rs . ( 105 / 15 ) = rs . 7 . for an income of rs . 1 in 8 % stock at 40 , investment = rs . ( 40 / 8 ) = rs . 5 . ∴ ratio of investments = 7 : 5 = 7 : 5 answer c" |
the s . i . on a certain sum of money for 5 years at X% per annum is half the c . i . on rs . 5000 for 2 years at 12 % per annum . the sum placed on s . i . is ?
If the answer to the question is 1272, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. all C. few D. moderate amount | C | the s . i . on a certain sum of money for 5 years at 10 % per annum is half the c . i . on rs . 5000 for 2 years at 12 % per annum . the sum placed on s . i . is ? | c . i . = [ 5000 * ( 1 + 12 / 100 ) 2 - 5000 ] = ( 5000 * 28 / 25 * 28 / 25 - 5000 ) = rs . 1272 . sum = ( 636 * 100 ) / ( 5 * 10 ) = rs . 1272 answer : e |
the s . i . on a certain sum of money for 5 years at 10 % per annum is half the c . i . on rs . 5000 for 2 years at X% per annum . the sum placed on s . i . is ?
If the answer to the question is 1272, 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. moderate amount | A | the s . i . on a certain sum of money for 5 years at 10 % per annum is half the c . i . on rs . 5000 for 2 years at 12 % per annum . the sum placed on s . i . is ? | c . i . = [ 5000 * ( 1 + 12 / 100 ) 2 - 5000 ] = ( 5000 * 28 / 25 * 28 / 25 - 5000 ) = rs . 1272 . sum = ( 636 * 100 ) / ( 5 * 10 ) = rs . 1272 answer : e |
find the simple interest on rs . 72,000 at 16 2 / X% per year for 9 months .
If the answer to the question is 9000, 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. small amount | B | find the simple interest on rs . 72,000 at 16 2 / 3 % per year for 9 months . | "p = rs . 72000 , r = 50 / 3 % p . a and t = 9 / 12 years = 3 / 4 years . simple interest = ( p * r * t ) / 100 = rs . ( 72,000 * ( 50 / 3 ) * ( 3 / 4 ) * ( 1 / 100 ) ) = rs . 9000 answer is c ." |
calculate the amount that an investor needs to be invest to earn $ 1005 in interest in 12 months if the investor plans to invest x dollars in a savings account that pays interest at an annual rate of X% compounded semi - annually ?
If the answer to the question is 8900, 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. small amount | C | calculate the amount that an investor needs to be invest to earn $ 1005 in interest in 12 months if the investor plans to invest x dollars in a savings account that pays interest at an annual rate of 11 % compounded semi - annually ? | "the approach is substitution , our interest requirement is $ 1005 after 12 months , 2 compounding period . calculate the compound interest on each option and find out the one that yields 460 in 12 months 8900 yielded $ 1005 using the formula a = p ( 1 + r / n ) nt hence answer is c" |
a reduction of X% in the price of bananas would enable a man to obtain 64 more for rs . 40 , what is reduced price per dozen ?
If the answer to the question is 3.15, 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. moderate amount D. tiny amount | C | a reduction of 42 % in the price of bananas would enable a man to obtain 64 more for rs . 40 , what is reduced price per dozen ? | "explanation : 40 * ( 42 / 100 ) = 16.8 - - - 64 ? - - - 12 = > rs . 3.15 answer : d" |
machine – x produces X% of the total output and machine - y produces 75 % of the total output . an average of 9 units out of a 1000 goods manufactured by machine - x and two unit of 500 units produced by machine - x prove to be defective . what is the probability that a unit chosen at random from the total daily output of the factory is defective ?
If the answer to the question is 0.006, 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. small amount | A | machine – x produces 50 % of the total output and machine - y produces 75 % of the total output . an average of 9 units out of a 1000 goods manufactured by machine - x and two unit of 500 units produced by machine - x prove to be defective . what is the probability that a unit chosen at random from the total daily output of the factory is defective ? | suppose machine x produce 1000 units total defective = 9 machine y then produces = 1500 units total defective = 6 probability = 15 / 2500 = 0.006 answer : d |
machine – x produces 50 % of the total output and machine - y produces X% of the total output . an average of 9 units out of a 1000 goods manufactured by machine - x and two unit of 500 units produced by machine - x prove to be defective . what is the probability that a unit chosen at random from the total daily output of the factory is defective ?
If the answer to the question is 0.006, 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. small amount | A | machine – x produces 50 % of the total output and machine - y produces 75 % of the total output . an average of 9 units out of a 1000 goods manufactured by machine - x and two unit of 500 units produced by machine - x prove to be defective . what is the probability that a unit chosen at random from the total daily output of the factory is defective ? | suppose machine x produce 1000 units total defective = 9 machine y then produces = 1500 units total defective = 6 probability = 15 / 2500 = 0.006 answer : d |
a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by X% while buying and by 20 % while selling . what is his percentage profit ?
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. none B. few C. moderate amount D. small amount | B | a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 10 % while buying and by 20 % while selling . what is his percentage profit ? | "the owner buys 100 kg but actually gets 110 kg ; the owner sells 100 kg but actually gives 80 kg ; profit : ( 110 - 80 ) / 80 * 100 = 10 % answer : d ." |
a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 10 % while buying and by X% while selling . what is his percentage profit ?
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. some B. small amount C. tiny amount D. most | B | a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 10 % while buying and by 20 % while selling . what is his percentage profit ? | "the owner buys 100 kg but actually gets 110 kg ; the owner sells 100 kg but actually gives 80 kg ; profit : ( 110 - 80 ) / 80 * 100 = 10 % answer : d ." |
the sale price sarees listed for rs . 375 after successive discount is X% and 15 % is ?
If the answer to the question is 285, 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 | D | the sale price sarees listed for rs . 375 after successive discount is 20 % and 15 % is ? | "375 * ( 80 / 100 ) * ( 85 / 100 ) = 285 answer : e" |
the sale price sarees listed for rs . 375 after successive discount is 20 % and X% is ?
If the answer to the question is 285, 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. some D. small amount | D | the sale price sarees listed for rs . 375 after successive discount is 20 % and 15 % is ? | "375 * ( 80 / 100 ) * ( 85 / 100 ) = 285 answer : e" |
raman mixed 48 kg of butter at rs . 150 per kg with 36 kg butter at the rate of rs . 125 per kg . at what price per kg should he sell the mixture to make a profit of X% in the transaction ?
If the answer to the question is 195, 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. moderate amount | D | raman mixed 48 kg of butter at rs . 150 per kg with 36 kg butter at the rate of rs . 125 per kg . at what price per kg should he sell the mixture to make a profit of 40 % in the transaction ? | "explanation : cp per kg of mixture = [ 48 ( 150 ) + 36 ( 125 ) ] / ( 48 + 36 ) = rs . 139.28 sp = cp [ ( 100 + profit % ) / 100 ] = 139.28 * [ ( 100 + 40 ) / 100 ] = rs . 195 answer : c" |
a certain company reported that the revenue on sales increased X% from 2000 to 2003 , and increased 70 % from 2000 to 2005 . what was the approximate percent increase in revenue for this store from 2003 to 2005 ?
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. tiny amount B. moderate amount C. none D. all | B | a certain company reported that the revenue on sales increased 40 % from 2000 to 2003 , and increased 70 % from 2000 to 2005 . what was the approximate percent increase in revenue for this store from 2003 to 2005 ? | "assume the revenue in 2000 to be 100 . then in 2003 it would be 140 and and in 2005 170 , so from 2003 to 2005 it increased by ( 170 - 140 ) / 140 = 30 / 140 = ~ 21 % . answer : e ." |
a certain company reported that the revenue on sales increased 40 % from 2000 to 2003 , and increased X% from 2000 to 2005 . what was the approximate percent increase in revenue for this store from 2003 to 2005 ?
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. small amount B. some C. most D. few | C | a certain company reported that the revenue on sales increased 40 % from 2000 to 2003 , and increased 70 % from 2000 to 2005 . what was the approximate percent increase in revenue for this store from 2003 to 2005 ? | "assume the revenue in 2000 to be 100 . then in 2003 it would be 140 and and in 2005 170 , so from 2003 to 2005 it increased by ( 170 - 140 ) / 140 = 30 / 140 = ~ 21 % . answer : e ." |
what quantity of water should taken out to concentrate 27 liters of X% acidic liquid to 60 % acidic liquid ?
If the answer to the question is 9 liters, 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. all | B | what quantity of water should taken out to concentrate 27 liters of 40 % acidic liquid to 60 % acidic liquid ? | "required answer is = 27 ( 60 - 40 ) / 60 = 9 liters answer is d" |
what quantity of water should taken out to concentrate 27 liters of 40 % acidic liquid to X% acidic liquid ?
If the answer to the question is 9 liters, 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. small amount | C | what quantity of water should taken out to concentrate 27 liters of 40 % acidic liquid to 60 % acidic liquid ? | "required answer is = 27 ( 60 - 40 ) / 60 = 9 liters answer is d" |
a certain sum is invested at simple interest at X% p . a . for two years instead of investing at 12 % p . a . for the same time period . therefore the interest received is more by rs . 840 . find the sum ?
If the answer to the question is 7000, 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. tiny amount | A | a certain sum is invested at simple interest at 18 % p . a . for two years instead of investing at 12 % p . a . for the same time period . therefore the interest received is more by rs . 840 . find the sum ? | "let the sum be rs . x . ( x * 18 * 2 ) / 100 - ( x * 12 * 2 ) / 100 = 840 = > 36 x / 100 - 24 x / 100 = 840 = > 12 x / 100 = 840 = > x = 7000 . answer : a" |
a certain sum is invested at simple interest at 18 % p . a . for two years instead of investing at X% p . a . for the same time period . therefore the interest received is more by rs . 840 . find the sum ?
If the answer to the question is 7000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. none C. few D. tiny amount | C | a certain sum is invested at simple interest at 18 % p . a . for two years instead of investing at 12 % p . a . for the same time period . therefore the interest received is more by rs . 840 . find the sum ? | "let the sum be rs . x . ( x * 18 * 2 ) / 100 - ( x * 12 * 2 ) / 100 = 840 = > 36 x / 100 - 24 x / 100 = 840 = > 12 x / 100 = 840 = > x = 7000 . answer : a" |
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 3 % sugar , what should be the ratio of cereal a to cereal b , by weight ?
If the answer to the question is 1 : 7, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. few C. none D. all | B | cereal a is 10 % sugar by weight , whereas healthier but less delicious cereal b is 2 % sugar by weight . to make a delicious and healthy mixture that is 3 % sugar , what should be the ratio of cereal a to cereal b , by weight ? | 2 % is 1 % - point below 3 % and 10 % is 7 % - points above 3 % . the ratio of a : b should be 1 : 7 . the answer is c . |
cereal a is 10 % sugar by weight , whereas healthier but less delicious cereal b is X% sugar by weight . to make a delicious and healthy mixture that is 3 % sugar , what should be the ratio of cereal a to cereal b , by weight ?
If the answer to the question is 1 : 7, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. all C. some D. none | A | cereal a is 10 % sugar by weight , whereas healthier but less delicious cereal b is 2 % sugar by weight . to make a delicious and healthy mixture that is 3 % sugar , what should be the ratio of cereal a to cereal b , by weight ? | 2 % is 1 % - point below 3 % and 10 % is 7 % - points above 3 % . the ratio of a : b should be 1 : 7 . the answer is c . |
cereal a is 10 % 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 : 7, 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 | A | cereal a is 10 % sugar by weight , whereas healthier but less delicious cereal b is 2 % sugar by weight . to make a delicious and healthy mixture that is 3 % sugar , what should be the ratio of cereal a to cereal b , by weight ? | 2 % is 1 % - point below 3 % and 10 % is 7 % - points above 3 % . the ratio of a : b should be 1 : 7 . the answer is c . |
an exam consists of 8 true / false questions . brian forgets to study , so he must guess blindly on each question . if any score above X% is a passing grade , what is the probability that brian passes ?
If the answer to the question is 125 / 256, 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. all | D | an exam consists of 8 true / false questions . brian forgets to study , so he must guess blindly on each question . if any score above 80 % is a passing grade , what is the probability that brian passes ? | "if you have 8 t or f and brian is going to guess then each question he has a 50 % chance of getting correct . if a passing score is 70 % it means brian needs to get 6 / 8 = 75 % , 7 / 8 = 87.5 % , or 8 / 8 = 100 % to pass . each is a possibility . if brian gets a 5 / 8 ( = 62.5 % ) or below he fails . so first figure out the number of ways that brian can get 6 out of 8 , 7 out of 8 , and 8 out of 8 questions correct . which is 8 choose 6 , equals is 28 , 8 choose 7 , equals 8 , and 8 choose 8 , equals 1 . this sums to 37 . the number of possible questions outcomes - the sum of 8 choose 8 , 7 choose 8 , 6 choose 8 … . 2 choose 8 , 1 choose 8 , and 0 choose 8 is 256 , so the chance of him passing is 125 / 256 . e" |
if rs . 7500 are borrowed at c . i at the rate of X% per annum , then after 1 year the amount to be paid is ?
If the answer to the question is 7800, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. none C. tiny amount D. some | C | if rs . 7500 are borrowed at c . i at the rate of 4 % per annum , then after 1 year the amount to be paid is ? | "a = 7500 ( 26 / 25 ) ^ 1 = 7800 answer : d" |
the difference between a number and its two - fifth is 510 . what is X% of that number ?
If the answer to the question is 102, 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 difference between a number and its two - fifth is 510 . what is 12 % of that number ? | "let the number be x . then , x - 2 / 5 x = 510 x = ( 510 * 5 ) / 3 = 850 12 % of 850 = 102 . answer : d" |
in an election between two candidates , one got X% of the total valid votes , 30 % of the votes were invalid . if the total number of votes was 9000 , the number of valid votes that the other candidate got , was :
If the answer to the question is 2520, 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. none D. few | B | in an election between two candidates , one got 60 % of the total valid votes , 30 % of the votes were invalid . if the total number of votes was 9000 , the number of valid votes that the other candidate got , was : | "explanation : number of valid votes = 70 % of 9000 = 6300 . valid votes polled by other candidates = 40 % of 6300 ( 40 / 1006300 ) = 2520 . harsh mishra a year ago 0 upvotes answer : b" |
in an election between two candidates , one got 60 % of the total valid votes , X% of the votes were invalid . if the total number of votes was 9000 , the number of valid votes that the other candidate got , was :
If the answer to the question is 2520, 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. tiny amount | B | in an election between two candidates , one got 60 % of the total valid votes , 30 % of the votes were invalid . if the total number of votes was 9000 , the number of valid votes that the other candidate got , was : | "explanation : number of valid votes = 70 % of 9000 = 6300 . valid votes polled by other candidates = 40 % of 6300 ( 40 / 1006300 ) = 2520 . harsh mishra a year ago 0 upvotes answer : b" |
on a certain road , X% of the motorists exceed the posted speed limit and receive speeding tickets , but 20 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on that road exceed the posted speed limit ?
If the answer to the question is 12.5 %, 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. few | D | on a certain road , 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but 20 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on that road exceed the posted speed limit ? | suppose there are x motorists . 10 % of them exceeded the speed limit and received the ticket , i . e . x / 10 . again , suppose total no . of motorists who exceeded the speed limit are y . 20 % of y exceeded the speed limit but did n ' t received the ticket , i . e . y / 5 . it means 4 y / 5 received the ticket . hence , 4 y / 5 = x / 10 or y / x = 1 / 8 or y / x * 100 = 1 / 8 * 100 = 12.5 % answer : b |
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