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in a factory , there are X% technicians and 10 % non - technicians . if the 90 % of the technicians and 10 % of non - technicians are permanent employees , then the percentage of workers who are temporary is ? If the answer to the question is 82 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. few C. all D. none
C
in a factory , there are 90 % technicians and 10 % non - technicians . if the 90 % of the technicians and 10 % of non - technicians are permanent employees , then the percentage of workers who are temporary is ?
"total = 100 t = 90 nt = 10 90 * ( 10 / 100 ) = 910 * ( 90 / 100 ) = 9 9 + 9 = 18 = > 100 - 18 = 82 % answer : d"
in a factory , there are 90 % technicians and X% non - technicians . if the 90 % of the technicians and 10 % of non - technicians are permanent employees , then the percentage of workers who are temporary is ? If the answer to the question is 82 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. few C. small amount D. all
B
in a factory , there are 90 % technicians and 10 % non - technicians . if the 90 % of the technicians and 10 % of non - technicians are permanent employees , then the percentage of workers who are temporary is ?
"total = 100 t = 90 nt = 10 90 * ( 10 / 100 ) = 910 * ( 90 / 100 ) = 9 9 + 9 = 18 = > 100 - 18 = 82 % answer : d"
in a factory , there are 90 % technicians and 10 % non - technicians . if the X% of the technicians and 10 % of non - technicians are permanent employees , then the percentage of workers who are temporary is ? If the answer to the question is 82 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. none C. tiny amount D. all
D
in a factory , there are 90 % technicians and 10 % non - technicians . if the 90 % of the technicians and 10 % of non - technicians are permanent employees , then the percentage of workers who are temporary is ?
"total = 100 t = 90 nt = 10 90 * ( 10 / 100 ) = 910 * ( 90 / 100 ) = 9 9 + 9 = 18 = > 100 - 18 = 82 % answer : d"
in a factory , there are 90 % technicians and 10 % non - technicians . if the 90 % of the technicians and X% of non - technicians are permanent employees , then the percentage of workers who are temporary is ? If the answer to the question is 82 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. none C. all D. few
D
in a factory , there are 90 % technicians and 10 % non - technicians . if the 90 % of the technicians and 10 % of non - technicians are permanent employees , then the percentage of workers who are temporary is ?
"total = 100 t = 90 nt = 10 90 * ( 10 / 100 ) = 910 * ( 90 / 100 ) = 9 9 + 9 = 18 = > 100 - 18 = 82 % answer : d"
last year elaine spent X% of her annual earnings on rent . this year she earned 20 % more than last year and she spent 30 % of her annual earnings on rent . the amount she spent on rent this year is what percent of the amount spent on rent last year ? If the answer to the question is 180.0, 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. moderate amount
A
last year elaine spent 20 % of her annual earnings on rent . this year she earned 20 % more than last year and she spent 30 % of her annual earnings on rent . the amount she spent on rent this year is what percent of the amount spent on rent last year ?
"for this it is easiest to use simple numbers . let ' s assume that elaine ' s annual earnings last year were $ 100 . she would ' ve spent $ 20 of this on rent . this year she earned 20 % more , or $ 120 she would ' ve spent 30 % of this on rent , or $ 36 do $ 36 / $ 20 this will give you 180 % b is the correct answer ."
last year elaine spent 20 % of her annual earnings on rent . this year she earned X% more than last year and she spent 30 % of her annual earnings on rent . the amount she spent on rent this year is what percent of the amount spent on rent last year ? If the answer to the question is 180.0, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. small amount C. few D. all
B
last year elaine spent 20 % of her annual earnings on rent . this year she earned 20 % more than last year and she spent 30 % of her annual earnings on rent . the amount she spent on rent this year is what percent of the amount spent on rent last year ?
"for this it is easiest to use simple numbers . let ' s assume that elaine ' s annual earnings last year were $ 100 . she would ' ve spent $ 20 of this on rent . this year she earned 20 % more , or $ 120 she would ' ve spent 30 % of this on rent , or $ 36 do $ 36 / $ 20 this will give you 180 % b is the correct answer ."
last year elaine spent 20 % of her annual earnings on rent . this year she earned 20 % more than last year and she spent X% of her annual earnings on rent . the amount she spent on rent this year is what percent of the amount spent on rent last year ? If the answer to the question is 180.0, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. moderate amount C. some D. none
B
last year elaine spent 20 % of her annual earnings on rent . this year she earned 20 % more than last year and she spent 30 % of her annual earnings on rent . the amount she spent on rent this year is what percent of the amount spent on rent last year ?
"for this it is easiest to use simple numbers . let ' s assume that elaine ' s annual earnings last year were $ 100 . she would ' ve spent $ 20 of this on rent . this year she earned 20 % more , or $ 120 she would ' ve spent 30 % of this on rent , or $ 36 do $ 36 / $ 20 this will give you 180 % b is the correct answer ."
each of the products produced yesterday was checked by worker x or worker y . X% of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.74 % , what fraction of the products was checked by worker y ? If the answer to the question is 4 / 5, 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. moderate amount D. few
A
each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.74 % , what fraction of the products was checked by worker y ?
"x : 0.5 % is 0.24 % - points from 0.74 % . y : 0.8 % is 0.06 % - points from 0.74 % . therefore the ratio of products checked by y : x is 4 : 1 . thus , worker y checked 4 / 5 of the products . the answer is e ."
each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and X% of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.74 % , what fraction of the products was checked by worker y ? If the answer to the question is 4 / 5, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. none C. some D. all
B
each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.74 % , what fraction of the products was checked by worker y ?
"x : 0.5 % is 0.24 % - points from 0.74 % . y : 0.8 % is 0.06 % - points from 0.74 % . therefore the ratio of products checked by y : x is 4 : 1 . thus , worker y checked 4 / 5 of the products . the answer is e ."
each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is X% , what fraction of the products was checked by worker y ? If the answer to the question is 4 / 5, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. few C. all D. small amount
A
each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.74 % , what fraction of the products was checked by worker y ?
"x : 0.5 % is 0.24 % - points from 0.74 % . y : 0.8 % is 0.06 % - points from 0.74 % . therefore the ratio of products checked by y : x is 4 : 1 . thus , worker y checked 4 / 5 of the products . the answer is e ."
find the simple interest on rs . 70,000 at 16 2 / X% per year for 9 months . If the answer to the question is 8750, 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. all D. none
A
find the simple interest on rs . 70,000 at 16 2 / 3 % per year for 9 months .
"p = rs . 70000 , r = 50 / 3 % p . a and t = 9 / 12 years = 3 / 4 years . simple interest = ( p * r * t ) / 100 = rs . ( 70,000 * ( 50 / 3 ) * ( 3 / 4 ) * ( 1 / 100 ) ) = rs . 8750 answer is c ."
a towel , when bleached , lost X% of its length and 25 % of its breadth . what is the percentage decrease in area ? If the answer to the question is 47.5 %, 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. all
C
a towel , when bleached , lost 30 % of its length and 25 % of its breadth . what is the percentage decrease in area ?
"percentage change in area = ( − 30 − 25 + ( 30 × 25 ) / 100 ) % = − 47.5 % i . e . , area is decreased by 47.5 % answer : e"
a towel , when bleached , lost 30 % of its length and X% of its breadth . what is the percentage decrease in area ? If the answer to the question is 47.5 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. some C. tiny amount D. all
B
a towel , when bleached , lost 30 % of its length and 25 % of its breadth . what is the percentage decrease in area ?
"percentage change in area = ( − 30 − 25 + ( 30 × 25 ) / 100 ) % = − 47.5 % i . e . , area is decreased by 47.5 % answer : e"
you enter a weight loss challenge game and manage to lose X% of your body weight . for the final weigh in you are forced to wear clothes that add 2 % to your weight . what percentage of weight loss is measured at the final weigh in ? If the answer to the question is 11.26 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. tiny amount C. small amount D. all
C
you enter a weight loss challenge game and manage to lose 13 % of your body weight . for the final weigh in you are forced to wear clothes that add 2 % to your weight . what percentage of weight loss is measured at the final weigh in ?
( 100 % - 13 % ) * ( 100 % + 2 % ) = 0.87 * 1.02 = 11.26 % the weigh in records your weight loss at 11.26 % ! the answer is c
you enter a weight loss challenge game and manage to lose 13 % of your body weight . for the final weigh in you are forced to wear clothes that add X% to your weight . what percentage of weight loss is measured at the final weigh in ? If the answer to the question is 11.26 %, 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. some D. tiny amount
D
you enter a weight loss challenge game and manage to lose 13 % of your body weight . for the final weigh in you are forced to wear clothes that add 2 % to your weight . what percentage of weight loss is measured at the final weigh in ?
( 100 % - 13 % ) * ( 100 % + 2 % ) = 0.87 * 1.02 = 11.26 % the weigh in records your weight loss at 11.26 % ! the answer is c
i bought two books ; for rs . 500 . i sold one at a loss of X% and other at a gain of 19 % and then i found each book was sold at the same price . find the cost of the book sold at a loss ? If the answer to the question is 291.67, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. most C. small amount D. few
C
i bought two books ; for rs . 500 . i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price . find the cost of the book sold at a loss ?
"x * ( 85 / 100 ) = ( 500 - x ) 119 / 100 x = 291.67 answer : e"
i bought two books ; for rs . 500 . i sold one at a loss of 15 % and other at a gain of X% and then i found each book was sold at the same price . find the cost of the book sold at a loss ? If the answer to the question is 291.67, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. moderate amount C. none D. all
A
i bought two books ; for rs . 500 . i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price . find the cost of the book sold at a loss ?
"x * ( 85 / 100 ) = ( 500 - x ) 119 / 100 x = 291.67 answer : e"
a X% stock yielding 10 % is quoted at : If the answer to the question is 160, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. some C. small amount D. all
C
a 16 % stock yielding 10 % is quoted at :
"solution to earn rs . 10 , money invested = rs . 100 . to earn rs . 16 , money invested = rs . ( 100 / 10 x 16 ) = rs . 160 . â ˆ ´ market value of rs . 100 stock = rs . 160 answer e"
a 16 % stock yielding X% is quoted at : If the answer to the question is 160, 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. tiny amount
C
a 16 % stock yielding 10 % is quoted at :
"solution to earn rs . 10 , money invested = rs . 100 . to earn rs . 16 , money invested = rs . ( 100 / 10 x 16 ) = rs . 160 . â ˆ ´ market value of rs . 100 stock = rs . 160 answer e"
the expenditure of a businessman increase consistently by X% per year . if his present expenditure is rs . 20000 then what will his expenditure be after 2 years ? If the answer to the question is 24200, 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. few D. most
C
the expenditure of a businessman increase consistently by 10 % per year . if his present expenditure is rs . 20000 then what will his expenditure be after 2 years ?
explanation : expenditure = 20000 x 1.1 x 1.1 = 24200 answer : option d
farm tax is levied on the X% of the cultivated land . the tax department collected total $ 3840 through the farm tax from the village of mr . william . mr . william paid only $ 480 as farm tax . the percentage of total land of mr . willam over the total taxable land of the village is : If the answer to the question is 50 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. some C. tiny amount D. few
B
farm tax is levied on the 25 % of the cultivated land . the tax department collected total $ 3840 through the farm tax from the village of mr . william . mr . william paid only $ 480 as farm tax . the percentage of total land of mr . willam over the total taxable land of the village is :
"this will be equal to the percentage of total cultivated land he holds over the total cultivated land in the village . that leads to ( 480 / 3840 ) x 100 = 12.5 % in percentage terms . but the question asks ratio between his total land to total cultivated land . hence the answer is 12.5 % x ( 100 / 25 ) = 50 % the correct answer is ( c ) ."
some of X% - intensity red paint is replaced with 25 % solution of red paint such that the new paint intensity is 40 % . what fraction of the original paint was replaced ? If the answer to the question is 1 / 4, 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. tiny amount D. some
B
some of 45 % - intensity red paint is replaced with 25 % solution of red paint such that the new paint intensity is 40 % . what fraction of the original paint was replaced ?
"let total paint = 1 let amount replaced = x 45 ( 1 - x ) + 25 x = 40 x = 1 / 4 answer : b"
some of 45 % - intensity red paint is replaced with X% solution of red paint such that the new paint intensity is 40 % . what fraction of the original paint was replaced ? If the answer to the question is 1 / 4, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. moderate amount C. few D. some
D
some of 45 % - intensity red paint is replaced with 25 % solution of red paint such that the new paint intensity is 40 % . what fraction of the original paint was replaced ?
"let total paint = 1 let amount replaced = x 45 ( 1 - x ) + 25 x = 40 x = 1 / 4 answer : b"
some of 45 % - intensity red paint is replaced with 25 % solution of red paint such that the new paint intensity is X% . what fraction of the original paint was replaced ? If the answer to the question is 1 / 4, 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. small amount D. none
A
some of 45 % - intensity red paint is replaced with 25 % solution of red paint such that the new paint intensity is 40 % . what fraction of the original paint was replaced ?
"let total paint = 1 let amount replaced = x 45 ( 1 - x ) + 25 x = 40 x = 1 / 4 answer : b"
the price of a jacket is reduced by X% . during a special sale the price of the jacket is reduced another 25 % . by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount ? If the answer to the question is 77.78, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. none C. some D. moderate amount
C
the price of a jacket is reduced by 25 % . during a special sale the price of the jacket is reduced another 25 % . by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount ?
"1 ) let the price of jacket initially be $ 100 . 2 ) then it is decreased by 25 % , therefore bringing down the price to $ 75 . 3 ) again it is further discounted by 10 % , therefore bringing down the price to $ 56.25 4 ) now 56.25 has to be added byx % in order to equal the original price . 56.25 + ( x % ) 56.25 = 100 . solving this eq for x , we get x = 77.78 ans is b ."
the price of a jacket is reduced by 25 % . during a special sale the price of the jacket is reduced another X% . by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount ? If the answer to the question is 77.78, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. none C. tiny amount D. most
A
the price of a jacket is reduced by 25 % . during a special sale the price of the jacket is reduced another 25 % . by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount ?
"1 ) let the price of jacket initially be $ 100 . 2 ) then it is decreased by 25 % , therefore bringing down the price to $ 75 . 3 ) again it is further discounted by 10 % , therefore bringing down the price to $ 56.25 4 ) now 56.25 has to be added byx % in order to equal the original price . 56.25 + ( x % ) 56.25 = 100 . solving this eq for x , we get x = 77.78 ans is b ."
a man buys 54 pens at marked price of 46 pens from a whole seller . if he sells these pens giving a discount of X% , what is the profit percent ? If the answer to the question is 16.21 %, 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. most D. none
D
a man buys 54 pens at marked price of 46 pens from a whole seller . if he sells these pens giving a discount of 1 % , what is the profit percent ?
"explanation : let marked price be re . 1 each c . p . of 54 pens = rs . 46 s . p . of 54 pens = 99 % of rs . 54 = rs . 53.46 profit % = ( profit / c . p . ) x 100 profit % = ( 7.46 / 46 ) x 100 = 16.21 % answer : c"
4 friends are pooling their money for pizza . emma has 8 dollars . daya has X% more money than emma , jeff has 2 / 5 of the money daya has , and brenda has 4 more dollars than jeff . how much money does brenda have ? If the answer to the question is 8, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. most C. some D. tiny amount
C
4 friends are pooling their money for pizza . emma has 8 dollars . daya has 25 % more money than emma , jeff has 2 / 5 of the money daya has , and brenda has 4 more dollars than jeff . how much money does brenda have ?
d 8 emma has 8 dollars . daya has 25 % more dollars than emma . daya = 8 + 8 x 25 % = 8 + 8 x . 25 = 8 + 2 = 10 jeff has 2 / 5 of what daya has . = 10 x 2 / 5 = 4 brenda has 4 more dollars than jeff . = 4 + 4 = 8 brenda has 8 dollars . the correct answer is d .
in one alloy there is X% chromium while in another alloy it is 8 % . 35 kg of the first alloy was melted together with 40 kg of the second one to form a third alloy . find the percentage of chromium in the new alloy . If the answer to the question is 9.75 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. few C. all D. none
B
in one alloy there is 12 % chromium while in another alloy it is 8 % . 35 kg of the first alloy was melted together with 40 kg of the second one to form a third alloy . find the percentage of chromium in the new alloy .
"the amount of chromium in the new 35 + 45 = 80 kg alloy is 0.12 * 35 + 0.08 * 45 = 7.8 kg , so the percentage is 7.8 / 80 * 100 = 9.75 % . answer : b ."
in one alloy there is 12 % chromium while in another alloy it is X% . 35 kg of the first alloy was melted together with 40 kg of the second one to form a third alloy . find the percentage of chromium in the new alloy . If the answer to the question is 9.75 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. most C. few D. some
C
in one alloy there is 12 % chromium while in another alloy it is 8 % . 35 kg of the first alloy was melted together with 40 kg of the second one to form a third alloy . find the percentage of chromium in the new alloy .
"the amount of chromium in the new 35 + 45 = 80 kg alloy is 0.12 * 35 + 0.08 * 45 = 7.8 kg , so the percentage is 7.8 / 80 * 100 = 9.75 % . answer : b ."
find the simple interest on $ 10000 at X% per annum for 12 months ? 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. none C. tiny amount D. small amount
C
find the simple interest on $ 10000 at 4 % per annum for 12 months ?
"p = $ 10000 r = 4 % t = 12 / 12 years = 1 year s . i . = p * r * t / 100 = 10000 * 4 * 1 / 100 = $ 400 answer is a"
a contractor undertakes to built a walls in 50 days . he employs 40 peoples for the same . however after 25 days he finds that only X% of the work is complete . how many more man need to be employed to complete the work in time ? 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. small amount B. moderate amount C. none D. most
B
a contractor undertakes to built a walls in 50 days . he employs 40 peoples for the same . however after 25 days he finds that only 40 % of the work is complete . how many more man need to be employed to complete the work in time ?
"40 men complete 0.4 work in 25 days . applying the work rule , m 1 × d 1 × w 2 = m 2 × d 2 × w 1 we have , 40 × 25 × 0.6 = m 2 × 25 × 0.4 or m 2 = 40 × 25 × 0.6 / 25 × 0.4 = 60 men answera"
a certain plant was 11 feet long on the day it was plantedthe length grows by a constant amount everyday ( inc . the first day it was planted ) . if this plant grew by X% b / w the 4 th day and 10 th day after it was planted , how many feet per day does the plant grow If the answer to the question is c ) 0.69, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. few C. moderate amount D. small amount
C
a certain plant was 11 feet long on the day it was plantedthe length grows by a constant amount everyday ( inc . the first day it was planted ) . if this plant grew by 30 % b / w the 4 th day and 10 th day after it was planted , how many feet per day does the plant grow
if the plant is 11 feet tall when it is planted , it will be 11 + k feet tall at the end of the day ( where k is the constant length it grows by every day ) . similarly , at the end of the 4 th day the plant must be 11 + 4 k feet tall and at the end of the 10 th day it must be 11 + 10 k feet tall . therefore 6 k = 0.3 ( 11 + 4 k ) = > k = 0.69 therefore the plant grows by 0.69 feet every day . option ( c )
the difference between simple interest and compound interest on rs . 1200 for one year at X% per annum reckoned half yearly is If the answer to the question is 7, 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. small amount D. none
B
the difference between simple interest and compound interest on rs . 1200 for one year at 10 % per annum reckoned half yearly is
"explanation : s . i = rs . ( 1200 x 10 x 1 / 100 ) = rs . 120 . c . i = rs [ ( 1200 x 1 + 5 / 100 ) ² - 1200 ] = rs . 123 . difference = rs . [ 123 - 120 ] = rs . 3 . answer : b"
a woman can do a piece of work in 40 days . man is X% more efficient than woman . in how many days a man can do the same piece of work ? If the answer to the question is 32 days, 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. few
C
a woman can do a piece of work in 40 days . man is 25 % more efficient than woman . in how many days a man can do the same piece of work ?
the ratio of the efficiencies of a woman and man = 100 : 125 = 4 : 5 the ratio of the days taken by woman and man to finish the work = 5 : 4 woman takes 32 days to finish the work . = > 5 parts = 40 the number of days taken by man to finish the work = 4 parts = 40 / 5 x 4 = 32 days a
the cash realised on selling a X% stock is rs . 109.25 , brokerage being 1 / 4 % is ? If the answer to the question is 109, 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. small amount D. all
C
the cash realised on selling a 14 % stock is rs . 109.25 , brokerage being 1 / 4 % is ?
"cash realised = rs . ( 109.25 - 0.25 ) = rs . 109 . answer : d"
the cash realised on selling a 1X% stock is rs . 109.25 , brokerage being 1 / 4 % is ? If the answer to the question is 109, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. tiny amount C. few D. some
B
the cash realised on selling a 14 % stock is rs . 109.25 , brokerage being 1 / 4 % is ?
"cash realised = rs . ( 109.25 - 0.25 ) = rs . 109 . answer : d"
the price of maruti car rises by 30 percent while the sales of the car come down by X% . what is the percentage change in the total revenue ? If the answer to the question is + 4 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. some C. tiny amount D. small amount
D
the price of maruti car rises by 30 percent while the sales of the car come down by 20 % . what is the percentage change in the total revenue ?
solution : let initial price of maruti car be rs . 100 . as price increases 30 % , price of car will become , ( 100 + 30 % of 100 ) = rs . 130 . due to increase in price , sales is down by 20 % . it means , it is going make 20 % less revenue as expected after increment of price . so , new revenue = ( 130 - 20 % of 130 ) = rs . 104 . the initial revenue was rs . 100 which becomes rs . 104 at the end . it means there is 4 % increment in the total revenue . mind calculation method : 100 = = 30 % ↑ ( price effect ) = = > 130 = = 20 % ↓ ( sales effects ) = = > 104 . hence , 4 % rises . answer : option c
an 80 - liter solution of cool - drink is made from X% jasmine water . if 8 liters of jasmine and 12 liters of water were added to the solution , what percent of the solution is jasmine ? If the answer to the question is 16 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. moderate amount C. few D. all
C
an 80 - liter solution of cool - drink is made from 10 % jasmine water . if 8 liters of jasmine and 12 liters of water were added to the solution , what percent of the solution is jasmine ?
"the percent of jasmine in the resulting solution is : ( amount of jasmine ) / ( total volume ) ( 0.1 ( 80 ) + 8 ) / 100 = 16 / 100 = 16 % the answer is c ."
X% of x = 20 % of 682.50 . find the value of x ? If the answer to the question is 210, 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. moderate amount D. most
D
65 % of x = 20 % of 682.50 . find the value of x ?
"65 % of x = 20 % of 682.50 then , 65 / 100 * x = 20 / 100 * 6825 / 10 x = 210 answer is b"
65 % of x = X% of 682.50 . find the value of x ? If the answer to the question is 210, 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. all D. most
B
65 % of x = 20 % of 682.50 . find the value of x ?
"65 % of x = 20 % of 682.50 then , 65 / 100 * x = 20 / 100 * 6825 / 10 x = 210 answer is b"
a fruit seller had some oranges . he sells X% oranges and still has 420 oranges . how many oranges he had originally ? If the answer to the question is 700, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. none C. moderate amount D. some
C
a fruit seller had some oranges . he sells 40 % oranges and still has 420 oranges . how many oranges he had originally ?
"explanation : he sells 40 % of oranges and still there are 420 oranges remaining = > 60 % of oranges = 420 ⇒ ( 60 × total oranges ) / 100 = 420 ⇒ total oranges / 100 = 7 ⇒ total oranges = 7 × 100 = 700 answer : option b"
a X% stock yielding 8 % is quoted at ? If the answer to the question is 125, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. moderate amount C. few D. most
C
a 10 % stock yielding 8 % is quoted at ?
"assume that face value = rs . 100 as it is not given to earn rs . 8 , money invested = rs . 100 to earn rs . 10 , money invested = 100 × 10 / 8 = rs . 125 ie , market value of the stock = rs . 125 answer is a ."
a 10 % stock yielding X% is quoted at ? If the answer to the question is 125, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. few C. small amount D. tiny amount
B
a 10 % stock yielding 8 % is quoted at ?
"assume that face value = rs . 100 as it is not given to earn rs . 8 , money invested = rs . 100 to earn rs . 10 , money invested = 100 × 10 / 8 = rs . 125 ie , market value of the stock = rs . 125 answer is a ."
if a trader sold two cars each at rs . 325475 and gains X% on the first and loses 12 % on the second , then his profit or loss percent on the whole is ? If the answer to the question is 1.44 %, 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. some D. few
D
if a trader sold two cars each at rs . 325475 and gains 12 % on the first and loses 12 % on the second , then his profit or loss percent on the whole is ?
sp of each car is rs . 325475 , he gains 12 % on first car and losses 12 % on second car . in this case , there will be loss and percentage of loss is given by = [ ( profit % ) ( loss % ) ] / 100 = ( 12 ) ( 12 ) / 100 % = 1.44 % answer : a
if a trader sold two cars each at rs . 325475 and gains 12 % on the first and loses X% on the second , then his profit or loss percent on the whole is ? If the answer to the question is 1.44 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. tiny amount C. most D. some
A
if a trader sold two cars each at rs . 325475 and gains 12 % on the first and loses 12 % on the second , then his profit or loss percent on the whole is ?
sp of each car is rs . 325475 , he gains 12 % on first car and losses 12 % on second car . in this case , there will be loss and percentage of loss is given by = [ ( profit % ) ( loss % ) ] / 100 = ( 12 ) ( 12 ) / 100 % = 1.44 % answer : a
a merchandise feedback online portal accords ‘ ratings ’ to a product by recording the percentage of customers who have reported their views as either ‘ satisfied ’ or ‘ unsatisfied ’ only . the portal rounds off the exact percentage value calculated to the closest integral value . if the percentage of unsatisfied customers as recorded by the portal is X% , what is the least possible number of people that could have reported their views as ‘ satisfied ’ ? If the answer to the question is 3, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. most C. all D. none
B
a merchandise feedback online portal accords ‘ ratings ’ to a product by recording the percentage of customers who have reported their views as either ‘ satisfied ’ or ‘ unsatisfied ’ only . the portal rounds off the exact percentage value calculated to the closest integral value . if the percentage of unsatisfied customers as recorded by the portal is 57 % , what is the least possible number of people that could have reported their views as ‘ satisfied ’ ?
57 % unsatisfied . so ~ 43 % satisfied but 100 % should be an integer only and since the above percentages are approximations 100 % should be as close as possible to an integer . now substitute value [ 1 ] if 43 % is 2 what is 100 % - > 200 / 43 is not giving a number which is closest to an integer . [ 2 ] if 43 % is 3 what is 100 % - > 300 / 43 [ 43 * 7 = 301 ] . . . therefore closest possible to an integer . [ it also satisfies the least possible and hence we need not check for other choices which are greater than 3 ] therefore ans is b .
a present value of a machine is $ 1000 . its value depletiation rate is X% per annum then find the machine value after 2 years ? If the answer to the question is $ 810, 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. all D. tiny amount
A
a present value of a machine is $ 1000 . its value depletiation rate is 10 % per annum then find the machine value after 2 years ?
"p = $ 1000 r = 10 % t = 2 years machine value after 2 years = p [ ( 1 - r / 100 ) ^ t ] = 1000 * 9 / 10 * 9 / 10 = $ 810 answer is b"
in a certain school , X% of students are below 8 years of age . the number of students above 8 years of age is 2 / 3 of the number of students of 8 years of age which is 48 . what is the total number of students in the school ? 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. small amount C. none D. few
B
in a certain school , 20 % of students are below 8 years of age . the number of students above 8 years of age is 2 / 3 of the number of students of 8 years of age which is 48 . what is the total number of students in the school ?
"let the number of students be x . then , number of students above 8 years of age = ( 100 - 20 ) % of x = 80 % of x . 80 % of x = 48 + 2 / 3 of 48 ( 80 / 100 ) x = 80 x = 100 . answer d"
to produce an annual income of rs . 1200 from a X% stock at 90 , the amount of stock needed is : If the answer to the question is s . 10, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. some C. moderate amount D. small amount
D
to produce an annual income of rs . 1200 from a 15 % stock at 90 , the amount of stock needed is :
"solution for an income of rs . 15 , stock needed = rs . 100 . for an income of rs . 1500 , stock needed = rs . 10 / 12 x 15000 = 10,000 answer a"
mr . parkin invested in fund z and fund b . the total amount she invested , in both funds combined , was $ 100000 . in one year , fund z paid X% and fund b paid 17 % . the interest earned in fund b was exactly $ 200 greater than the interest earned in fund z . how much did ms . morris invest in fund z ? If the answer to the question is $ 42000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. small amount C. most D. some
D
mr . parkin invested in fund z and fund b . the total amount she invested , in both funds combined , was $ 100000 . in one year , fund z paid 23 % and fund b paid 17 % . the interest earned in fund b was exactly $ 200 greater than the interest earned in fund z . how much did ms . morris invest in fund z ?
0.17 b - 0.23 z = 200 | * 100 17 b - 23 z = 20000 z + b = 100000 b = 100000 - z 17 ( 100000 - z ) - 23 z = 20000 1 , 700000 - 17 z - 23 z = 20000 1 , 680000 = 40 z divide by 40 first two digits : 42 . . . so answer is d .
mr . parkin invested in fund z and fund b . the total amount she invested , in both funds combined , was $ 100000 . in one year , fund z paid 23 % and fund b paid X% . the interest earned in fund b was exactly $ 200 greater than the interest earned in fund z . how much did ms . morris invest in fund z ? If the answer to the question is $ 42000, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. some C. tiny amount D. small amount
D
mr . parkin invested in fund z and fund b . the total amount she invested , in both funds combined , was $ 100000 . in one year , fund z paid 23 % and fund b paid 17 % . the interest earned in fund b was exactly $ 200 greater than the interest earned in fund z . how much did ms . morris invest in fund z ?
0.17 b - 0.23 z = 200 | * 100 17 b - 23 z = 20000 z + b = 100000 b = 100000 - z 17 ( 100000 - z ) - 23 z = 20000 1 , 700000 - 17 z - 23 z = 20000 1 , 680000 = 40 z divide by 40 first two digits : 42 . . . so answer is 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 30 % while selling . what is his percentage profit ? 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. small amount B. moderate amount C. all D. few
D
a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 12 % while buying and by 30 % while selling . what is his percentage profit ?
"the owner buys 100 kg but actually gets 112 kg ; the owner sells 100 kg but actually gives 70 kg ; profit : ( 112 - 70 ) / 70 * 100 = ~ 60 % answer : d ."
a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 12 % while buying and by X% while selling . what is his percentage profit ? 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. all B. few C. moderate amount D. small amount
C
a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 12 % while buying and by 30 % while selling . what is his percentage profit ?
"the owner buys 100 kg but actually gets 112 kg ; the owner sells 100 kg but actually gives 70 kg ; profit : ( 112 - 70 ) / 70 * 100 = ~ 60 % answer : d ."
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 62.5, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. tiny amount C. all D. most
D
at a certain university , 65 % 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 ?
"total women = 65 % total men = 40 % total tenured = 70 % ( both men and women ) therefore , women tenured + women professors + men tenured = 90 % men tenured = 25 % but question wants to know the percent of men that are tenured 25 % / 40 % = 62.5 % d"
at a certain university , 65 % 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 62.5, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. none C. most D. moderate amount
C
at a certain university , 65 % 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 ?
"total women = 65 % total men = 40 % total tenured = 70 % ( both men and women ) therefore , women tenured + women professors + men tenured = 90 % men tenured = 25 % but question wants to know the percent of men that are tenured 25 % / 40 % = 62.5 % d"
at a certain university , 65 % 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 62.5, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. some C. most D. few
A
at a certain university , 65 % 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 ?
"total women = 65 % total men = 40 % total tenured = 70 % ( both men and women ) therefore , women tenured + women professors + men tenured = 90 % men tenured = 25 % but question wants to know the percent of men that are tenured 25 % / 40 % = 62.5 % d"
by selling an article at rs . 900 , 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 . 540, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. most C. tiny amount D. small amount
A
by selling an article at rs . 900 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 25 % ?
"sp = 900 profit = 25 % cp = ( sp ) * [ 100 / ( 100 + p ) ] = 900 * [ 100 / 125 ] = 720 loss = 25 % = 25 % of 720 = rs . 180 sp = cp - loss = 720 - 180 = rs . 540 answer : d"
by selling an article at rs . 900 , 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 . 540, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. some C. tiny amount D. moderate amount
B
by selling an article at rs . 900 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 25 % ?
"sp = 900 profit = 25 % cp = ( sp ) * [ 100 / ( 100 + p ) ] = 900 * [ 100 / 125 ] = 720 loss = 25 % = 25 % of 720 = rs . 180 sp = cp - loss = 720 - 180 = rs . 540 answer : d"
if X% more is gained by selling an article for rs . 350 than by selling it for rs . 340 , the cost of the article is 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. few B. none C. moderate amount D. all
A
if 5 % more is gained by selling an article for rs . 350 than by selling it for rs . 340 , the cost of the article is
"explanation : let c . p . be rs . x . then , 5 % of x = 350 - 340 = 10 x / 20 = 10 = > x = 200 answer : c"
find the least number of complete years in which a sum of money put out at X% compound interest will be more than double of itself ? If the answer to the question is 2, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. some C. all D. small amount
A
find the least number of complete years in which a sum of money put out at 50 % compound interest will be more than double of itself ?
2 years answer : a
last year a worker saved X% of her annual salary . this year , she made 20 % more money than last year and she saved 5 % of her salary . the amount she saved this year was what percent of the amount she saved last year ? 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. few B. tiny amount C. moderate amount D. none
A
last year a worker saved 6 % of her annual salary . this year , she made 20 % more money than last year and she saved 5 % of her salary . the amount she saved this year was what percent of the amount she saved last year ?
let x be the worker ' s salary last year . last year , she saved 0.06 x . this year , she saved 0.05 ( 1.2 x ) = 0.06 x 0.06 x / 0.06 x = 100 % the answer is b .
last year a worker saved 6 % of her annual salary . this year , she made X% more money than last year and she saved 5 % of her salary . the amount she saved this year was what percent of the amount she saved last year ? 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. small amount C. tiny amount D. some
B
last year a worker saved 6 % of her annual salary . this year , she made 20 % more money than last year and she saved 5 % of her salary . the amount she saved this year was what percent of the amount she saved last year ?
let x be the worker ' s salary last year . last year , she saved 0.06 x . this year , she saved 0.05 ( 1.2 x ) = 0.06 x 0.06 x / 0.06 x = 100 % the answer is b .
last year a worker saved 6 % of her annual salary . this year , she made 20 % more money than last year and she saved X% of her salary . the amount she saved this year was what percent of the amount she saved last year ? 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. all C. small amount D. few
D
last year a worker saved 6 % of her annual salary . this year , she made 20 % more money than last year and she saved 5 % of her salary . the amount she saved this year was what percent of the amount she saved last year ?
let x be the worker ' s salary last year . last year , she saved 0.06 x . this year , she saved 0.05 ( 1.2 x ) = 0.06 x 0.06 x / 0.06 x = 100 % the answer is b .
two tests had the same maximum mark . the pass percentages in the first and the second test were X% and 45 % respectively . a candidate scored 216 marks in the second test and failed by 36 marks in that test . find the pass mark in the first test ? If the answer to the question is 224, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. few B. some C. none D. moderate amount
D
two tests had the same maximum mark . the pass percentages in the first and the second test were 40 % and 45 % respectively . a candidate scored 216 marks in the second test and failed by 36 marks in that test . find the pass mark in the first test ?
"let the maximum mark in each test be m . the candidate failed by 36 marks in the second test . pass mark in the second test = 216 + 36 = 252 45 / 100 m = 252 pass mark in the first test = 40 / 100 m = 40 / 45 * 252 = 224 . answer : e"
two tests had the same maximum mark . the pass percentages in the first and the second test were 40 % and X% respectively . a candidate scored 216 marks in the second test and failed by 36 marks in that test . find the pass mark in the first test ? If the answer to the question is 224, 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. few
A
two tests had the same maximum mark . the pass percentages in the first and the second test were 40 % and 45 % respectively . a candidate scored 216 marks in the second test and failed by 36 marks in that test . find the pass mark in the first test ?
"let the maximum mark in each test be m . the candidate failed by 36 marks in the second test . pass mark in the second test = 216 + 36 = 252 45 / 100 m = 252 pass mark in the first test = 40 / 100 m = 40 / 45 * 252 = 224 . answer : e"
a dress on sale in a shop is marked at $ d . during the discount sale its price is reduced by X% . staff are allowed a further 40 % reduction on the discounted price . if a staff member buys the dress what will she have to pay in terms of d ? If the answer to the question is 0.33 d, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. all C. moderate amount D. tiny amount
C
a dress on sale in a shop is marked at $ d . during the discount sale its price is reduced by 45 % . staff are allowed a further 40 % reduction on the discounted price . if a staff member buys the dress what will she have to pay in terms of d ?
effective discount = a + b + ab / 100 = - 45 - 40 + ( - 45 ) ( - 40 ) / 100 = - 67 sale price = d * ( 1 - 67 / 100 ) sale price = . 33 * d answer ( e )
a dress on sale in a shop is marked at $ d . during the discount sale its price is reduced by 45 % . staff are allowed a further X% reduction on the discounted price . if a staff member buys the dress what will she have to pay in terms of d ? If the answer to the question is 0.33 d, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. some C. moderate amount D. none
C
a dress on sale in a shop is marked at $ d . during the discount sale its price is reduced by 45 % . staff are allowed a further 40 % reduction on the discounted price . if a staff member buys the dress what will she have to pay in terms of d ?
effective discount = a + b + ab / 100 = - 45 - 40 + ( - 45 ) ( - 40 ) / 100 = - 67 sale price = d * ( 1 - 67 / 100 ) sale price = . 33 * d answer ( e )
difference of 2 numbers is 100 . if X% of one number is 10 % of the other number , find the addition of 2 numbers ? If the answer to the question is 300, 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. few
D
difference of 2 numbers is 100 . if 5 % of one number is 10 % of the other number , find the addition of 2 numbers ?
"let the numbers be x and y 5 % of x = 10 % of y x = 2 y x - y = 100 2 y - y = 100 y = 100 x = 2 y = 200 x + y = 300 answer is b"
difference of 2 numbers is 100 . if 5 % of one number is X% of the other number , find the addition of 2 numbers ? If the answer to the question is 300, 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. most D. few
D
difference of 2 numbers is 100 . if 5 % of one number is 10 % of the other number , find the addition of 2 numbers ?
"let the numbers be x and y 5 % of x = 10 % of y x = 2 y x - y = 100 2 y - y = 100 y = 100 x = 2 y = 200 x + y = 300 answer is b"
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 2625, 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. tiny amount D. few
D
the s . i . on a certain sum of money for 2 years at 8 % 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 ) / ( 2 * 8 ) = rs . 2625 answer : e"
the s . i . on a certain sum of money for 2 years at 8 % 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 2625, 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
the s . i . on a certain sum of money for 2 years at 8 % 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 ) / ( 2 * 8 ) = rs . 2625 answer : e"
if the annual increase in the population of a town is X% and the present number of people is 15000 , what will the population be in 2 years ? If the answer to the question is 18150, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. some C. few D. moderate amount
C
if the annual increase in the population of a town is 10 % and the present number of people is 15000 , what will the population be in 2 years ?
"the required population is = 15000 ( 1 + 10 / 100 ) ^ 2 = 15000 * 11 / 10 * 11 / 10 = 18150 answer is c"
at the end of the month , a certain ocean desalination plant ’ s reservoir contained 30 million gallons of water . this amount is twice the normal level . if this amount represents X% of the reservoir ’ s total capacity , how many million gallons short of total capacity is the normal level ? If the answer to the question is 20, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. all C. moderate amount D. none
A
at the end of the month , a certain ocean desalination plant ’ s reservoir contained 30 million gallons of water . this amount is twice the normal level . if this amount represents 75 % of the reservoir ’ s total capacity , how many million gallons short of total capacity is the normal level ?
"the q talks of total capacity , normal level , present level , shortage etc . . so it is all about not going wrong in these terms 30 mg = 75 % of total . . total = 30 / . 75 = 40 mg . . normal level = 1 / 2 of 40 = 20 mg . . shortage of normal level = 40 - 20 = 20 mg . . c"
the present worth of $ 169 due in 2 years at X% per annum compound interest is ? If the answer to the question is $ 156.25, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. few C. most D. tiny amount
D
the present worth of $ 169 due in 2 years at 4 % per annum compound interest is ?
"present worth = 169 / ( 1 + 4 / 100 ) ^ 2 = 169 * 25 / 26 * 25 / 26 = $ 156.25 answer is c"
by selling 11 pencils for a rupee a man loses X% . how many for a rupee should he sell in order to gain 20 % ? If the answer to the question is 8.25, 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. some
B
by selling 11 pencils for a rupee a man loses 10 % . how many for a rupee should he sell in order to gain 20 % ?
90 % - - - 11 120 % - - - ? 90 / 120 * 11 = 8.25 answer : a
by selling 11 pencils for a rupee a man loses 10 % . how many for a rupee should he sell in order to gain X% ? If the answer to the question is 8.25, 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
by selling 11 pencils for a rupee a man loses 10 % . how many for a rupee should he sell in order to gain 20 % ?
90 % - - - 11 120 % - - - ? 90 / 120 * 11 = 8.25 answer : a
crazy eddie has a key chain factory . eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price , and thus increased the profit from the sale of each key chain from X% of the selling price to 50 % of the selling price . if the manufacturing cost is now $ 50 , what was it before the decrease ? If the answer to the question is $ 50, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. few C. tiny amount D. moderate amount
D
crazy eddie has a key chain factory . eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price , and thus increased the profit from the sale of each key chain from 50 % of the selling price to 50 % of the selling price . if the manufacturing cost is now $ 50 , what was it before the decrease ?
"deargoodyear 2013 , i ' m happy to help . this is a relatively straightforward problem , not very challenging . btw , crazy eddiewas the actually name of an electronics chain on the east coast of the usa back in the 1970 s . manufacturing now is $ 50 . they now are making a 50 % profit , so the selling price must be $ 100 . they had this same selling price , $ 100 , before they made the change , and had a profit of 50 % , so the manufacturing must have been $ 50 . answer = ( c ) ."
crazy eddie has a key chain factory . eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price , and thus increased the profit from the sale of each key chain from 50 % of the selling price to X% of the selling price . if the manufacturing cost is now $ 50 , what was it before the decrease ? If the answer to the question is $ 50, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. moderate amount C. few D. tiny amount
B
crazy eddie has a key chain factory . eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price , and thus increased the profit from the sale of each key chain from 50 % of the selling price to 50 % of the selling price . if the manufacturing cost is now $ 50 , what was it before the decrease ?
"deargoodyear 2013 , i ' m happy to help . this is a relatively straightforward problem , not very challenging . btw , crazy eddiewas the actually name of an electronics chain on the east coast of the usa back in the 1970 s . manufacturing now is $ 50 . they now are making a 50 % profit , so the selling price must be $ 100 . they had this same selling price , $ 100 , before they made the change , and had a profit of 50 % , so the manufacturing must have been $ 50 . answer = ( c ) ."
if the simple interest on a certain amount in at X% rate 5 years amounted to rs . 2240 less than the principal . what was the principal ? If the answer to the question is 2800, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. few C. small amount D. all
A
if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs . 2240 less than the principal . what was the principal ?
"p - 2240 = ( p * 5 * 4 ) / 100 p = 2800 answer : d"
if each edge of cube increased by X% , the percentage increase in If the answer to the question is 125, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. all C. some D. few
A
if each edge of cube increased by 50 % , the percentage increase in
"100 × ( 150 ) / 100 × ( 150 ) / 100 = 225 = > 125 % answer is d ."
a ' s speed is 20 / 13 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that b beats a by X% of the length of the race ? If the answer to the question is 87 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. tiny amount B. none C. all D. some
C
a ' s speed is 20 / 13 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that b beats a by 80 % of the length of the race ?
"first calculate the distance , b has covered with his speed in the time , in which a reached 20 % of the race . then add the remaining distance as head start for b to win the race . its best to apply ratios concept here . since a ' s speed is 20 / 13 of b , therefore , b ' s speed is 13 / 20 of a distance covered by b = speed x time = ( 13 / 20 ) x ( 0.2 ) = 0.13 % ( which means b would have covered 0.13 of the race length during the time in which a has covered 0.2 of the race length . therefore to win , b needs a headstart of ( 1 - 0.13 = ) 0.87 of the race length . so the answer is e"
90 students represent x percent of the boys at jones elementary school . if the boys at jones elementary make up X% of the total school population of x students , what is x ? If the answer to the question is 134, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. some B. moderate amount C. most D. small amount
B
90 students represent x percent of the boys at jones elementary school . if the boys at jones elementary make up 50 % of the total school population of x students , what is x ?
"90 = x / 100 * 50 / 100 * x = > x ^ 2 = 9 * 10000 / 5 = > x = 134 a"
paul ' s income is X% less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to sam and 40 % of his income to quentin , quentin ' s new income would be what fraction of sam ' s new income ? If the answer to the question is 11 / 12, 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. few
C
paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to sam and 40 % of his income to quentin , quentin ' s new income would be what fraction of sam ' s new income ?
"let rex ' s income = 100 , then : rex = 100 paul = 60 quentin = 48 sam = 36 rex gives 60 dollars to sam , so now sam has 96 dollars rex gives 40 dollars to quentin , so now quentin has 88 dollars the fraction q / s = 11 / 12 answer : a"
paul ' s income is 40 % less than rex ' s income , quentin ' s income is X% less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to sam and 40 % of his income to quentin , quentin ' s new income would be what fraction of sam ' s new income ? If the answer to the question is 11 / 12, 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. small amount
D
paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to sam and 40 % of his income to quentin , quentin ' s new income would be what fraction of sam ' s new income ?
"let rex ' s income = 100 , then : rex = 100 paul = 60 quentin = 48 sam = 36 rex gives 60 dollars to sam , so now sam has 96 dollars rex gives 40 dollars to quentin , so now quentin has 88 dollars the fraction q / s = 11 / 12 answer : a"
paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is X% less than paul ' s income . if rex gave 60 % of his income to sam and 40 % of his income to quentin , quentin ' s new income would be what fraction of sam ' s new income ? If the answer to the question is 11 / 12, 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. none D. few
B
paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to sam and 40 % of his income to quentin , quentin ' s new income would be what fraction of sam ' s new income ?
"let rex ' s income = 100 , then : rex = 100 paul = 60 quentin = 48 sam = 36 rex gives 60 dollars to sam , so now sam has 96 dollars rex gives 40 dollars to quentin , so now quentin has 88 dollars the fraction q / s = 11 / 12 answer : a"
paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave X% of his income to sam and 40 % of his income to quentin , quentin ' s new income would be what fraction of sam ' s new income ? If the answer to the question is 11 / 12, 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. few
C
paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to sam and 40 % of his income to quentin , quentin ' s new income would be what fraction of sam ' s new income ?
"let rex ' s income = 100 , then : rex = 100 paul = 60 quentin = 48 sam = 36 rex gives 60 dollars to sam , so now sam has 96 dollars rex gives 40 dollars to quentin , so now quentin has 88 dollars the fraction q / s = 11 / 12 answer : a"
paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to sam and X% of his income to quentin , quentin ' s new income would be what fraction of sam ' s new income ? If the answer to the question is 11 / 12, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. small amount B. some C. moderate amount D. few
C
paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to sam and 40 % of his income to quentin , quentin ' s new income would be what fraction of sam ' s new income ?
"let rex ' s income = 100 , then : rex = 100 paul = 60 quentin = 48 sam = 36 rex gives 60 dollars to sam , so now sam has 96 dollars rex gives 40 dollars to quentin , so now quentin has 88 dollars the fraction q / s = 11 / 12 answer : a"
alex takes a loan of $ 6,000 to buy a used truck at the rate of X% simple interest . calculate the annual interest to be paid for the loan amount . If the answer to the question is 480, 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. few D. all
C
alex takes a loan of $ 6,000 to buy a used truck at the rate of 8 % simple interest . calculate the annual interest to be paid for the loan amount .
"from the details given in the problem principle = p = $ 6,000 and r = 8 % or 0.08 expressed as a decimal . as the annual interest is to be calculated , the time period t = 1 . plugging these values in the simple interest formula , i = p x t x r = 6,000 x 1 x 0.08 = 480.00 annual interest to be paid = $ 480 answer : d"
if X% of a is the same as 40 % of b , then a : b is : If the answer to the question is 8 : 3, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. most C. moderate amount D. small amount
D
if 15 % of a is the same as 40 % of b , then a : b is :
"expl : 15 % of a i = 40 % of b = 15 a / 100 = 40 b / 100 = 8 / 3 = 8 : 3 answer : b"
if 15 % of a is the same as X% of b , then a : b is : If the answer to the question is 8 : 3, 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. small amount
C
if 15 % of a is the same as 40 % of b , then a : b is :
"expl : 15 % of a i = 40 % of b = 15 a / 100 = 40 b / 100 = 8 / 3 = 8 : 3 answer : b"
after successive discounts of X% , 10 % and 5 % a certain good is sold for rs . 6500 . find the actual price of the good . If the answer to the question is s . 9503, 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. tiny amount D. few
B
after successive discounts of 20 % , 10 % and 5 % a certain good is sold for rs . 6500 . find the actual price of the good .
"let actual price was 100 . after three successive discount this will become , 100 = = 20 % discount = > 80 = = 10 % discount = > 72 = = 5 % discount = 68.4 now compare , 68.4 = 6500 1 = 6500 / 68.4 100 = ( 6500 * 100 ) / 68.4 = rs . 9503 . answer : option d"
after successive discounts of 20 % , X% and 5 % a certain good is sold for rs . 6500 . find the actual price of the good . If the answer to the question is s . 9503, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. few C. tiny amount D. most
B
after successive discounts of 20 % , 10 % and 5 % a certain good is sold for rs . 6500 . find the actual price of the good .
"let actual price was 100 . after three successive discount this will become , 100 = = 20 % discount = > 80 = = 10 % discount = > 72 = = 5 % discount = 68.4 now compare , 68.4 = 6500 1 = 6500 / 68.4 100 = ( 6500 * 100 ) / 68.4 = rs . 9503 . answer : option d"
after successive discounts of 20 % , 10 % and X% a certain good is sold for rs . 6500 . find the actual price of the good . If the answer to the question is s . 9503, 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. none D. few
D
after successive discounts of 20 % , 10 % and 5 % a certain good is sold for rs . 6500 . find the actual price of the good .
"let actual price was 100 . after three successive discount this will become , 100 = = 20 % discount = > 80 = = 10 % discount = > 72 = = 5 % discount = 68.4 now compare , 68.4 = 6500 1 = 6500 / 68.4 100 = ( 6500 * 100 ) / 68.4 = rs . 9503 . answer : option d"
of the diplomats who attended a summit conference : 20 spoke japanese , 32 did not speak russian and X% of the diplomats spoke neither japanese nor russian . if 10 % of the diplomats spoke both japanese and russian , then how many diplomats attended the conference ? If the answer to the question is 120, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. most C. moderate amount D. small amount
D
of the diplomats who attended a summit conference : 20 spoke japanese , 32 did not speak russian and 20 % of the diplomats spoke neither japanese nor russian . if 10 % of the diplomats spoke both japanese and russian , then how many diplomats attended the conference ?
2 x 2 matrix will be the easiest way to calculate this . text in black : given statements text in red : calculated values thus d = 120 is the correct answer
of the diplomats who attended a summit conference : 20 spoke japanese , 32 did not speak russian and 20 % of the diplomats spoke neither japanese nor russian . if X% of the diplomats spoke both japanese and russian , then how many diplomats attended the conference ? If the answer to the question is 120, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. all B. moderate amount C. small amount D. few
D
of the diplomats who attended a summit conference : 20 spoke japanese , 32 did not speak russian and 20 % of the diplomats spoke neither japanese nor russian . if 10 % of the diplomats spoke both japanese and russian , then how many diplomats attended the conference ?
2 x 2 matrix will be the easiest way to calculate this . text in black : given statements text in red : calculated values thus d = 120 is the correct answer
in a restaurant , the profit is 160 % of the cost . if the cost increases by X% but the selling price remains constant , approximately what percentage of the selling price is the profit ? If the answer to the question is 57 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. none B. some C. moderate amount D. few
D
in a restaurant , the profit is 160 % of the cost . if the cost increases by 12 % but the selling price remains constant , approximately what percentage of the selling price is the profit ?
"explanation : let c . p . = rs . 100 . then , profit = rs . 160 , s . p . = rs . 260 . new c . p . = 112 % of rs . 100 = rs . 112 new s . p . = rs . 260 . profit = rs . ( 260 - 112 ) = rs . 148 . required percentage = ( 148 / 260 * 100 ) % = 57 % appox answer : b"
what quantity of water should taken out to concentrate 21 liters of X% acidic liquid to 60 % acidic liquid ? If the answer to the question is 7 liters, 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. none
A
what quantity of water should taken out to concentrate 21 liters of 40 % acidic liquid to 60 % acidic liquid ?
"required answer is = 21 ( 60 - 40 ) / 60 = 7 liters answer is c"
what quantity of water should taken out to concentrate 21 liters of 40 % acidic liquid to X% acidic liquid ? If the answer to the question is 7 liters, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. moderate amount B. small amount C. most D. tiny amount
C
what quantity of water should taken out to concentrate 21 liters of 40 % acidic liquid to 60 % acidic liquid ?
"required answer is = 21 ( 60 - 40 ) / 60 = 7 liters answer is c"
the price of a certain painting increased by X% during the first year and decreased by 15 % during the second year . the price of the painting at the end of the 2 - year period was what percent of the original price ? If the answer to the question is 110.5 %, then please select the most appropriate quantifier that is closest to the meaning of X% from the following choices. A. most B. none C. some D. moderate amount
D
the price of a certain painting increased by 30 % during the first year and decreased by 15 % during the second year . the price of the painting at the end of the 2 - year period was what percent of the original price ?
easiest thing to do : assume that price is 100 price at the end of yr 1 : 100 + 30 = 130 price at the end of year 2 = 130 - 130 * 0.15 = 130 * 0.85 = 110.5 hence required answer = ( 110.5 / 100 ) * 100 % = 110.5 % answer is c .