instruction stringlengths 211 775 | response stringclasses 4
values | original_instruction stringlengths 15 572 | reasoning_response stringlengths 12 1.79k |
|---|---|---|---|
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 t... | 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 t... | 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 s... | 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 s... | 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 a... | 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 appropriat... | 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 amou... | 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 choic... | 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... | 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.... | 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... | 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 j... | 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 clo... | 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 mentionan... |
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. ... | 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. ... | 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. ... | 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 ... | 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 ... | 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 ... | 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... | 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... | 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... | 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 spe... | 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 s... | 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 bo... |
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 spe... | 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 s... | 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 bo... |
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... | 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 choi... | 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 cho... | 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 ( ... |
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... | 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... | 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 ... | 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. t... | 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... |
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 follow... | 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 follow... | 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 ?
... | 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 i... |
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 ?
... | 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 i... |
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.... | 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. t... | 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 120... | 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... | 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... | 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... | 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... | 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 q... | 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... | 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 initi... | 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 ... | 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 ... | 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 ... | 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. modera... | 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 end... | 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 e... | 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 en... | 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 e... | 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 am... | 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 amou... | 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 si... | 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 ... | "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... | 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 ... | 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... | 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. ... | 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... | 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... | 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 quantifi... | 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 ... | 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... | 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 outp... | 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... | 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 outp... | 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% ... | 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% ... | 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% fro... | 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 ... | 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 ... | 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 ... | 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 ... | 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 t... | 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 ... | 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 ... | 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 th... | 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 ... |
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... | 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... | 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 ple... | 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 . henc... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.