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Question: the least number which must be subtracted from 909 to make it exactly divisible by 9 is :
A.A.2.
B.B.3.
C.C.0.
D.D.5.
e ) e ) 6C.
"on dividing 909 by 9 , we get remainder = 0 therefore , required number to be subtracted = 0 answer : c" | null |
Question: a person want to give his money of $ 3600 to his 3 children a , b , c in the ratio 2 : 3 : 4 . what is the b ' s share ?
A.$ 2000.
B.$ 1200.
C.$ 2500.
D.$ 1800.
e ) $ 1600B.
"b ' s share = 3600 * 3 / 9 = $ 1200 answer is b" | null |
Question: each week , harry is paid x dollars per hour for the first 24 hours and 1.5 x dollars for each additional hour worked that week . each week , james is paid x dollars per per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 41 hours if harry and james were paid the same amount last week , how many hours did harry work last week ?
A.35.
B.36.
C.37.
D.38.
e ) 39B.
"42 x = 24 x + 1.5 x ( h - 24 ) = = > 42 = 24 + 1.5 ( h - 24 ) = = > h - 24 = 18 / 1.5 = 12 = > h = 36 answer is b" | null |
Question: rs . 1600 is divided into two parts such that if one part is invested at 6 % and the other at 5 % the whole annual interest from both the sum is rs . 85 . how much was lent at 5.00001 % ?
A.1100.
B.1200.
C.1300.
D.1400.
e ) 1700A.
( x * 5 * 1 ) / 100 + [ ( 1600 - x ) * 6 * 1 ] / 100 = 85 5 x / 100 + ( 9600 – 6 x ) / 100 = 85 = > x = 1100 answer : a | null |
Question: a box contains 10 tablets of medicine a and 16 tablets of medicine b . what is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted .
A.12.
B.15.
C.17.
D.18.
e ) 21D.
"the worst case scenario will be if we remove all 16 tablets of medicine b first . the next 2 tablets we remove have to be of medicine a , so to guarantee that at least two tablets of each kind will be taken we should remove minimum of 16 + 2 = 18 tablets . answer : d ." | null |
Question: for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the even integers between 99 and 171 ?
A.2820.
B.3440.
C.4860.
D.5560.
e ) 6720C.
"100 + 102 + . . . + 170 = 100 * 36 + ( 2 + 4 + . . . + 70 ) = 100 * 36 + 2 * ( 1 + 2 + . . . + 35 ) = 100 * 36 + 2 ( 35 ) ( 36 ) / 2 = 100 * 36 + 35 * 36 = 135 ( 36 ) = 4860 the answer is c ." | null |
Question: a train 3000 m long can cross an electric pole in 120 sec and then find the speed of the train ?
A.90.
B.95.
C.100.
D.105.
e ) 110A.
"length = speed * time speed = l / t s = 3000 / 120 s = 25 m / sec speed = 25 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 90 kmph answer : a" | null |
Question: at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 500 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 200 ?
A.1,108.
B.4,100.
C.2,108.
D.2,124.
e ) 2,256B.
"we have $ 200 and we have to maximize the number of hot dogs that we can buy with this amount . let ' s try to find out what is the maximum number of hot dogs that we can buy for a lesser amount of money , which in this case is 500 for $ 22.95 . for the sake of calculation , let ' s take $ 23 . 23 x 8 gives 184 , i . e . a total of 500 x 8 = 4000 hot dogs . we are left with ~ $ 16 . similarly , let ' s use $ 3 for calculation . we can buy 5 20 - pack hot dogs ( 3 x 5 ) , a total of 20 x 5 = 100 hot dogs . so we have 4100 hot dogs . 2108 looks far - fetched ( since we are not likely to be left with > $ 1.55 ) . hence , ( b ) 4100 ( answer b )" | null |
Question: a can give b 60 meters start and c 120 meters start in a kilometer race . how much start can b give c in a kilometer race ?
A.63.83.
B.111.67.
C.111.64.
D.111.11.
e ) 101.12A.
"a runs 1000 m while b runs 940 m and c runs 880 m . the number of meters that c runs when b runs 1000 m , = ( 1000 * 880 ) / 940 = 936.17 m . b can give c = 1000 - 936.17 = 63.83 m . answer : a" | null |
Question: you have 59 cubic blocks . what is the minimum number that needs to be taken away in order to construct a solid cube with none left over ?
['A.27', 'B.43', 'C.11', 'D.32', 'e ) 45']D.
d 32 the next cube number below 64 ( 4 × 4 × 4 ) is 27 ( 3 × 3 × 3 ) . in order to construct a solid cube , therefore , with none left over , 59 – 27 = 32 blocks need to be taken away . | null |
Question: from an island , it is possible to reach the mainland by either ferry p or ferry q . ferry p travels for 3 hours at 8 kilometers per hour , while ferry q takes a route that is three times longer . if ferry p is slower than ferry q by 1 kilometer per hour , how many hours longer is the journey of ferry q compared with the journey of ferry p ?
A.5.
B.7.
C.8.
D.10.
e ) 12A.
"the distance traveled by ferry p is 24 km . then the distance traveled by ferry q is 72 km . ferry q travels at a speed of 9 kph . the time of the journey for ferry q is 72 / 9 = 8 hours , which is 5 hours more than ferry p . the answer is a ." | null |
Question: n a certain flower shop , which stocks 4 types of flowers , there are 1 / 3 as many violets as carnations , and 1 / 4 as many tulips as violets . if there are equal numbers of roses and tulips , what percent of the flowers in the shop are carnations ?
A.62.
B.63.
C.64.
D.66.66.
e ) 65D.
given : - violets - c / 3 carnations - c tulip - c / 12 rose - c / 12 total flowers in terms of c = c / 3 + c + c / 12 + c / 12 = 18 c / 12 percentage of carnations = c / 3 c / 2 * 100 = 66.66 % answer d | null |
Question: at a contest with 500 participants , 1 / 2 of the people are aged 28 to 32 . next year , the number of people aged 28 to 32 will increase by 1 / 8 . after this change , what percentage of the total 500 people will the 28 - to 32 - year - olds represent ?
A.33.25 %.
B.40.25 %.
C.50.25 %.
D.55.25 %.
e ) 56.25 %E.
"i just wanted to mention a couple of things here : * this is a pure ratio question ; the number 500 is completely irrelevant , and you can ignore it if you like . when we increase something by 1 / 8 , we are multiplying it by 1 + 1 / 8 = 9 / 8 , so the answer here must be ( 1 / 2 ) * ( 9 / 8 ) = 9 / 16 = 56.25 % . answer is e" | null |
Question: on a purchase of $ 130 , a store offered a payment plan consisting of a $ 30 down payment and 12 monthly payments of $ 10 each . what percent of the purchase price , to the nearest tenth of a percent , did the customer pay in interest by using this plan ?
A.23.5 %.
B.24.5 %.
C.23.1 %.
D.25.5 %.
e ) 26.5 %C.
12 * 10 + 30 = 150 . ( 30 / 130 ) * 100 = 23.1 answer : c | null |
Question: the largest 4 digit number exactly divisible by 66 is ?
A.9935.
B.9939.
C.9944.
D.9966.
e ) 9960D.
"largest 4 - digit number = 9999 66 ) 9999 ( 151 9966 largest number : 9966 answer : d" | null |
Question: ashok secured average of 77 marks in 6 subjects . if the average of marks in 5 subjects is 74 , how many marks did he secure in the 6 th subject ?
A.38.
B.27.
C.92.
D.17.
e ) 80C.
"explanation : number of subjects = 6 average of marks in 6 subjects = 77 therefore total marks in 6 subjects = 77 * 6 = 462 now , no . of subjects = 5 total marks in 5 subjects = 74 * 5 = 370 therefore marks in 6 th subject = 462 – 370 = 92 answer : c" | null |
Question: roses can be purchased individually for $ 7.30 , one dozen for $ 36 , or two dozen for $ 50 . what is the greatest number of roses that can be purchased for $ 680 ?
A.156.
B.162.
C.316.
D.324.
e ) 325C.
"buy as many $ 50 deals as possible . we can by 650 / 50 = 13 two dozen roses , thus total of 13 * 24 = 312 roses . we are left with 680 - 650 = $ 30 . we can buy 30 / 7.3 = ~ 4 roses for that amount . total = 312 + 4 = 316 . answer : c ." | null |
Question: what is the equation of a circle of radius 5 units centered at ( 3 , 2 ) ?
['A.x ^ 2 + y ^ 2 + 6 x – 4 y = 23', 'B.x ^ 2 + y ^ 2 - 6 x + 4 y = 23', 'C.x ^ 2 + y ^ 2 + 6 x + 4 y = 23', 'D.x ^ 2 + y ^ 2 - 6 x – 4 y = - 12', 'e ) x ^ 2 + y ^ 2 - 6 x – 4 y = 12']E.
the equation of a circle with center at ( a , b ) and radius r is ( x - a ) ^ 2 + ( y - b ) ^ 2 = r ^ 2 = > answer = ( x - 3 ) ^ 2 + ( y - 2 ) ^ 2 = 5 ^ 2 solving , , we get the equation in answer choice e . | null |
Question: if the diameter of circle r is 20 % of the diameter of circle s , the area of circle r is what percent of the area of circle s ?
A.5 %.
B.10 %.
C.15 %.
D.14 %.
e ) 4 %E.
"let diameter of circle r , dr = 20 and diameter of circle s , ds = 100 radius of circle r , rr = 10 radius of circle s , rs = 50 area of circle r / area of circle s = ( pi * rr ^ 2 ) / ( pi * rs ^ 2 ) = ( 10 / 50 ) ^ 2 = ( 2 / 10 ) ^ 2 = 4 % answer : e" | null |
Question: walking with 4 / 5 of my usual speed , i arrive at the bus stop 9 minutes later than normal . how many minutes does it take to walk to the bus stop at my usual speed ?
A.24.
B.28.
C.32.
D.36.
e ) 40D.
"let t = usual time = distance / usual speed t + 9 = distance / ( 4 * usual speed / 5 ) = ( 5 * distance ) / ( 4 * usual speed ) = 5 t / 4 t = 36 the answer is d ." | null |
Question: what will be the length of the mini - train , if it crosses a pole in 3 sec while travelling at a speed of 75 kmph ?
A.60 m.
B.65 m.
C.63.5 m.
D.64 m.
e ) 62.5 mE.
explanation : d = 75 * 5 / 18 * 3 = 62.5 m answer : option e | null |
Question: if 4 x = 8 y = 12 z , then what is a possible sum of positive integers x , y , and z ?
A.52.
B.58.
C.84.
D.122.
e ) 180E.
"4 x = 8 y = 12 z x = 2 y = 3 z 3 ( 2 * 3 ) = 2 ( 3 * 1 ) = 3 ( 1 * 2 ) addition = 18 + 6 + 6 = 30 answer would be multiple of 30 which is 180 answer : e" | null |
Question: find a two digit number , given that the sum of the digits is 12 and the difference of the digits is 6 . ?
A.41.
B.46.
C.42.
D.46.
e ) 47A.
"using elimination method find which of the options fit the description of the number . . . from the option only 41 meets this description sum of digits - - - 4 + 1 = 5 difference of digits - - - 4 - 1 = 3 answer a ." | null |
Question: it takes joey the postman 1 hours to run a 3 mile long route every day . he delivers packages and then returns to the post office along the same path . if the average speed of the round trip is 6 mile / hour , what is the speed with which joey returns ?
A.11.
B.12.
C.13.
D.14.
e ) 18E.
"let his speed for one half of the journey be 3 miles an hour let the other half be x miles an hour now , avg speed = 6 mile an hour 2 * 3 * x / 3 + x = 6 6 x = 6 x + 18 = > x = 18 e" | null |
Question: 2056 x 987 = ?
A.1936372.
B.2029272.
C.1896172.
D.1923472.
e ) none of themB.
"= 2056 x 987 = 2056 x ( 1000 - 13 ) = 2056 x 1000 - 2056 x 13 = 2056000 - 26728 = 2029272 answer is b" | null |
Question: a rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn . the area of the lawn is 2109 sq . m . what is the width of the road ?
A.5 m.
B.4 m.
C.2 m.
D.3 m.
e ) 6 mD.
"area of the park = 60 * 40 = 2400 m ^ 2 given area of the lawn = 2109 m ^ 2 total area of the cross roads = 2400 - 2109 = 291 m ^ 2 assume that the width of the cross road = x = area of road 1 + road 2 - common area cross road = 60 x + 40 x - x ^ 2 total area of cross road = 60 x + 40 x - x ^ 2 = 291 m ^ 2 ( x - 97 ) ( x - 3 ) = 0 x = 3 answer d" | null |
Question: a train is moving at 6 / 7 of its usual speed . the train is 30 minutes too late . what is the usual time for the train to complete the journey ?
A.1 hour.
B.30 minutes.
C.3 hours.
D.2 hours 30 min.
e ) 2 hoursC.
"new time = d / ( 6 v / 7 ) = 7 / 6 * usual time 30 minutes represents 1 / 6 of the usual time . the usual time is 3 hours . the answer is c ." | null |
Question: we bought 85 hats at the store . blue hats cost $ 6 and green hats cost $ 7 . the total price was $ 530 . how many green hats did we buy ?
A.A.36.
B.B.20.
C.C.40.
D.D.42.
e ) e ) 44B.
let b be the number of blue hats and let g be the number of green hats . b + g = 85 . b = 85 - g . 6 b + 7 g = 530 . 6 ( 85 - g ) + 7 g = 530 . 510 - 6 g + 7 g = 530 . g = 530 - 510 = 20 . the answer is b . | null |
Question: a volunteer organization is recruiting new members . in the fall they manage to increase their number by 5 % . by the spring however membership falls by 19 % . what is the total change in percentage from fall to spring ?
A.16.16 %.
B.15.15 %.
C.14.95 %.
D.13.33 %.
e ) 12.52 %C.
"( 100 % + 5 % ) * ( 100 % - 19 % ) = 1.05 * . 81 = 0.8505 . 1 - 0.8505 = 14.95 % lost = - 14.95 % the answer is c the organization has lost 14.95 % of its total volunteers from fall to spring ." | null |
Question: two cars are driving toward each other . the first car is traveling at a speed of 90 km / h , which is 50 % faster than the second car ' s speed . if the distance between the cars is 975 km , how many hours will it take until the two cars meet ?
A.6.
B.6.5.
C.7.
D.7.5.
e ) 8B.
"the speed of the first car is 90 km / h . the speed of the second car is 90 / 1.5 = 60 km / h . the two cars complete a total of 150 km each hour . the time it takes the cars to meet is 975 / 150 = 6.5 hours . the answer is b ." | null |
Question: find the annual income derived by investing $ 6800 in 40 % stock at 136 .
A.550.
B.2000.
C.250.
D.3000.
e ) 400B.
"by investing $ 136 , income obtained = $ 40 . by investing $ 6800 , income obtained = $ [ ( 40 / 136 ) * 6800 ] = $ 2000 . answer b ." | null |
Question: in 1982 and 1983 , company b ’ s operating expenses were $ 12.0 million and $ 14.0 million , respectively , and its revenues were $ 15.6 million and $ 18.8 million , respectively . what was the percent increase in company b ’ s profit ( revenues minus operating expenses ) from 1982 to 1983 ?
A.3 %.
B.16 2 / 3 %.
C.25 %.
D.33 1 / 3 %.
e ) 60 %D.
"profit in 1982 = 15.6 - 12.0 = 3.6 profit in 1983 = 18.8 - 14.0 = 4.8 increase in profit = 4.8 - 3.6 = 1.2 percentage increase 12 * 100 / 36 = 33.33 ; answer : d" | null |
Question: what is the difference between local value & face value of 7 in the numeral 65793 ?
A.693.
B.656.
C.691.
D.9890.
e ) 10000A.
( local value of 7 ) - ( face value of 7 ) = ( 700 - 7 ) = 693 a | null |
Question: mike took a taxi to the airport and paid $ 2.50 to start plus $ 0.25 per mile . annie took a different route to the airport and paid $ 2.50 plus $ 5.00 in bridge toll fees plus $ 0.25 per mile . if each was charged exactly the same amount , and annie ' s ride was 14 miles , how many miles was mike ' s ride ?
A.28.
B.30.
C.32.
D.34.
e ) 36D.
the cost of annie ' s ride was 2.5 + 5 + ( 0.25 * 14 ) = $ 11 let x be the distance of mike ' s ride . the cost of mike ' s ride is 2.5 + ( 0.25 * x ) = 11 0.25 * x = 8.5 x = 34 miles the answer is d . | null |
Question: at 1 : 00 pm , a truck left city p and headed toward city q at a constant speed of 35 km / h . one hour later , a car left city q and headed toward city p along the same road at a constant speed of 40 km / h . if the distance between city p and city q is 335 km , at what time will the truck and the car meet each other ?
A.5 : 00.
B.5 : 30.
C.6 : 00.
D.6 : 30.
e ) 7 : 00C.
"at 2 : 00 pm , the truck and the car are 300 km apart . the truck and the car complete a distance of 75 km each hour . the time it takes to meet is 300 / 75 = 4 hours . they will meet at 6 : 00 pm . the answer is c ." | null |
Question: a license plate in the country kerrania consists of 4 digits followed by two letters . the letters a , b , and c are used only by government vehicles while the letters d through z are used by non - government vehicles . kerrania ' s intelligence agency has recently captured a message from the country gonzalia indicating that an electronic transmitter has been installed in a kerrania government vehicle with a license plate starting with 79 . if it takes the police 10 minutes to inspect each vehicle , what is the probability that the police will find the transmitter within 3 hours ?
A.18 / 79.
B.1 / 6.
C.1 / 25.
D.1 / 50.
e ) 1 / 900D.
if it takes 10 minutes to inspect one vehicle , the # of vehicles that can be inspected in 3 hours ( 180 minutes ) = 180 / 10 = 18 . hence , for calculating the probability that the police will find the transmitter within three hours , the favorable cases = 18 . now , we need to figure out the total # of cases . the total # of cases = total # of such cars possible . the details given about the car is that it starts with 79 , which leaves 2 more digits , both of which can be filled by all 10 numbers ( 0 - 9 ) . in addition , we have 3 letters , each of which can be filled by any from the set { a , b , c } . hence the total # of such cars possible = 10 * 10 * 3 * 3 = 900 so , the probability that the police will find the transmitter within three hours = 18 / 900 = 1 / 50 . option d | null |
Question: a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 65 percent of books that were loaned out are returned and there are 61 books in the special collection at that time , how many books of the special collection were loaned out during that month ?
A.20.
B.30.
C.35.
D.40.
e ) 55D.
"the total number of books is 75 . let x be the number of books which were loaned out . 65 % of books that were loaned out are returned . 35 % of books that were loaned out are not returned . now , there are 61 books , thus the number of un - returned books is 75 - 61 = 14 books . 0.35 x = 14 x = 40 the answer is d ." | null |
Question: one - sixth of the light switches produced by a certain factory are defective . 4 - fifths of the defective switches are rejected and 1 / 15 of the non defective switches are rejected by mistake . if all the switches not rejected are sold , what percent of the switches sold by the factory are defective ?
A.1.8 %.
B.2.9 %.
C.4.1 %.
D.5.6 %.
e ) 6.4 %C.
1 / 6 of the switches are defective . the defective switches that are not rejected are 1 / 5 * 1 / 6 = 1 / 30 = 3 / 90 of all switches . the non defective switches that are sold are 5 / 6 * 14 / 15 = 70 / 90 of all switches . the percent of switches sold that are defective is 3 / 73 which is about 4.1 % . the answer is c . | null |
Question: a man buys a cycle for rs . 1600 and sells it at a loss of 12 % . what is the selling price of the cycle ?
A.1410.
B.1420.
C.1430.
D.1408.
e ) 1540D.
s . p . = 88 % of rs . 1600 = 88 / 100 x 1600 = rs . 1408 answer : d | null |
Question: at milk factory , each employee working the second shift produced 2 / 3 as many widgets as each employee working the first shift . if the first shift has 3 / 4 as many employees , what fraction of the total widgets did the second shift produce ?
A.8 / 17.
B.1 / 2.
C.8 / 9.
D.9 / 8.
e ) 17 / 8A.
at milk factory , let the first shift have 3 employee and each produce 3 widgets , so the total number of widgets produced by the first shift is 3 * 3 = 9 ; then the second shift would have 4 employees and each second shift employee would produce 3 * 2 / 3 = 2 widgets , so the total number of widgets produced by the second shift employees would be 4 * 2 = 8 ; the ratio of the second shift production to the total is 8 / ( 9 + 8 ) = 8 / 17 . answer : a . | null |
Question: the cost of one photocopy is $ 0.02 . however , a 25 % discount is offered on orders of more than 100 photocopies . if steve and david have to make 80 copies each , how much will each of them save if they submit a single order of 160 copies ?
A.$ 0.32.
B.$ 0.40.
C.$ 0.45.
D.$ 0.48.
e ) $ 0.54B.
"if steve and david submit separate orders , each would be smaller than 100 photocopies , so no discount . each would pay ( 80 ) * ( $ 0.02 ) = $ 1.60 , or together , a cost of $ 3.20 - - - that ' s the combined ` ` no discount cost ' ' . if they submit things together as one big order , they get a discount off of that $ 3.20 price - - - - 25 % or 1 / 4 of that is $ 0.80 , the discount on the combined sale . they each effective save half that amount , or $ 0.40 . answer = ( b ) ." | null |
Question: a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets $ 500 more than d , what is a ' s share ?
A.$ 1200.
B.$ 1600.
C.$ 2000.
D.$ 2500.
e ) $ 3000D.
"let the shares of a , b , c and d be 5 x , 2 x , 4 x and 3 x respectively . then , 4 x - 3 x = 500 x = $ 500 a ' s share = 5 x = 5 * $ 500 = $ 2500 the answer is d ." | null |
Question: when a certain tree was first planted , it was 4 feet tall , and the height of the tree increased by a constant amount each year for the next 6 years . at the end of the 6 th year , the tree was 1 / 7 taller than it was at the end of the 4 th year . by how many feet did the height of the tree increase each year ?
A.3 / 10.
B.2 / 5.
C.1 / 2.
D.2 / 3.
e ) 6 / 5B.
say , the tree grows by x feet every year . then , 4 + 6 x = ( 1 + 1 / 7 ) ( 4 + 4 x ) or , x = 2 / 5 answer b | null |
Question: a , b and c have rs . 500 between them , a and c together have rs . 200 and b and c rs . 350 . how much does c have ?
A.50.
B.88.
C.77.
D.66.
e ) 51A.
"a + b + c = 500 a + c = 200 b + c = 350 - - - - - - - - - - - - - - a + b + 2 c = 550 a + b + c = 500 - - - - - - - - - - - - - - - - c = 50 answer : a" | null |
Question: two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 18 seconds . find the length of the faster train ?
A.270.
B.277.
C.187.
D.180.
e ) 271D.
"relative speed = ( 72 - 36 ) * 5 / 18 = 2 * 5 = 10 mps . distance covered in 18 sec = 18 * 10 = 180 m . the length of the faster train = 180 m . answer : d" | null |
Question: matt gets a $ 1,000 commission on a big sale . this commission alone raises his average commission by $ 150 . if matt ' s new average commission is $ 550 , how many sales has matt made ?
A.3.
B.4.
C.5.
D.6.
e ) 7B.
"let , average commission = x no . of items sold = y total commission = xy new commission = xy + 1000 new average = ( xy + 1000 ) / ( y + 1 ) = 150 + x i . e . ( xy + 1000 ) = ( y + 1 ) * ( 150 + x ) i . e . ( xy + 1000 ) = ( xy + x + 150 y + 150 ) i . e . ( 850 ) = ( x + 150 y ) new commission = 550 = 150 + x i . e . x = 400 i . e . y = 3 new sales = y + 1 = 4 answer : option b" | null |
Question: a man invested rs . 14400 in rs . 100 shares of a company at 20 % premium . if his company declares 5 % dividend at the end of the year , then how much does he get ?
A.234.
B.600.
C.388.
D.278.
e ) 129B.
explanation : number of shares = = 120 . face value = rs . ( 100 x 120 ) = rs . 12000 . annual income = = rs . 600 answer : b ) rs . 600 | null |
Question: the distance between two cities a and b is 1140 km . a train starts from a at 8 a . m . and travel towards b at 60 km / hr . another train starts from b at 9 a . m and travels towards a at 75 km / hr . at what time do they meet ?
A.09 am.
B.07 am.
C.11 am.
D.05 pm.
e ) 03 pmD.
"explanation : suppose they meet x hrs after 8 a . m then , [ distance moved by first in x hrs ] + [ distance moved by second in ( x - 1 ) hrs ] = 1140 . therefore , 60 x + 75 ( x - 1 ) = 1140 . = > x = 9 . so , they meet at ( 8 + 9 ) i . e , 5 pm answer : d" | null |
Question: the sale price of an article including the sales tax is rs . 616 . the rate of sales tax is 10 % . if the shopkeeper has made a profit of 15 % , then the cost price of the article is :
A.500.
B.334.
C.555.
D.536.
e ) 5598D.
"110 % of s . p . = 616 s . p . = ( 616 * 100 ) / 110 = rs . 560 c . p = ( 110 * 560 ) / 115 = rs . 536 answer : option d" | null |
Question: pipe a fills a swimming pool in 4 hours . pipe b empties the pool in 6 hours . if pipe a was opened at 7 : 00 am and pipe b at 8 : 00 am , at what time will the pool be full ?
A.16 : 00.
B.18 : 00.
C.19 : 00.
D.20 : 00.
e ) 17 : 00E.
"pipe a fills the pool in 4 hrs . 1 hour ' s work : 1 / 4 pipe b empties the pool in 6 hrs . 1 hour ' s work : 1 / 6 together if they work , 1 hour ' s work = 1 / 4 - 1 / 6 = 1 / 12 given : pipe a started at 7 : 00 a . m and pipe b at 8 : 00 a . m pool filled after 1 hour by pipe a : 1 / 4 or 3 / 12 after 8 : 00 a . m pool filled after 1 hour with both the pipes on : 1 / 12 pool filled after 9 hours with both pipes on : 9 / 12 pool filled in 1 hour + pool filled in 9 hours = 3 / 12 + 9 / 12 = 1 therefore , it takes 10 hrs to fill the pool as pipe a started at 7 : 00 a . m , pool is full at 17 : 00 hrs answer : e" | null |
Question: selling an kite for rs . 30 , a shop keeper gains 35 % . during a clearance sale , the shopkeeper allows a discount of 10 % on the marked price . his gain percent during the sale is ?
A.8 %.
B.10 %.
C.11 %.
D.15 %.
e ) 21.5 %E.
"explanation : marked price = rs . 30 c . p . = 100 / 135 * 30 = rs . 22.22 sale price = 90 % of rs . 30 = rs . 27 required gain % = 4.77 / 22.22 * 100 = 21.5 % . answer : e" | null |
Question: if the simple interest on a sum of money for 2 years at 5 % per annum is rs . 58 , what is the compound interest on the same sum at the rate and for the same time ?
A.s . 59.45.
B.s . 56.22.
C.s . 51.219.
D.s . 59.18.
e ) s . 51.11A.
"explanation : sum = ( 58 * 100 ) / ( 2 * 5 ) = rs . 580 amount = [ 580 * ( 1 + 5 / 100 ) 2 ] = rs . 639.45 c . i . = ( 639.45 - 580 ) = rs . 59.45 answer : a" | null |
Question: if a = 105 and a ^ 3 = 21 × 25 × 45 × d , what is the value of d ?
A.35.
B.42.
C.45.
D.49.
e ) 54D.
"a = 105 = 3 * 5 * 7 a ^ 3 = 21 × 25 × 45 × d = > a ^ 3 = ( 7 * 3 ) x ( 5 * 5 ) x ( 3 ^ 2 * 5 ) x d = > a ^ 3 = 3 ^ 3 * 5 ^ 3 * 7 x d = > ( 3 * 5 * 7 ) ^ 3 = 3 ^ 3 * 5 ^ 3 * 7 x d d = 7 ^ 2 = 49 answer d" | null |
Question: a present value of a machine is $ 40000 . its value depletiation rate is 5 % per annum then find the machine value after 2 years ?
A.$ 36540.
B.$ 36100.
C.$ 29580.
D.$ 31256.
e ) $ 41250B.
"p = $ 40000 r = 5 % t = 2 years machine value after 3 years = p / ( 1 - r / 100 ) ^ t = 40000 * 19 / 20 * 19 / 20 * 19 / 20 = $ 36100 answer is b" | null |
Question: find the compound ratio of ( 3 : 4 ) , ( 4 : 5 ) and ( 1 : 2 ) is
A.1 : 2.
B.2 : 3.
C.3 : 10.
D.4 : 10.
e ) 3 : 2C.
"required ratio = 3 / 4 * 4 / 5 * 1 / 2 = 3 / 10 = 3 : 10 answer is c" | null |
Question: at veridux corporation , there are 218 employees . of these , 90 are female , and the rest are males . there are a total of 40 managers , and the rest of the employees are associates . if there are a total of 135 male associates , how many female managers are there ?
A.15.
B.20.
C.25.
D.30.
e ) 47E.
"well , first let â € ™ s take care of the â € œ totals â € . the numbers in the â € œ totals â € row must add up . if 90 are females , the other 218 â € “ 90 = 128 must be males . similarly , the numbers in the â € œ totals â € column must add up . if 40 are managers , then the other 218 â € “ 40 = 178 must be associates . now , in the â € œ associate â € row , 135 + e = 178 , which means e = 43 â € ” the other 43 associates must be female . now , to find b , which is what the question is asking , we need only look at the sum in the â € œ female â € column : b + 43 = 90 , which means b = 47 . there are fifteen female managers in this company . thus , the answer = 47 ( e ) ." | null |
Question: find a sum for 1 st 9 prime number ' s ?
A.25.
B.28.
C.30.
D.34.
e ) 100E.
required sum = ( 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 ) = 100 note : 1 is not a prime number option e | null |
Question: if d = 1 / ( 2 ^ 3 * 5 ^ 11 ) is expressed as a terminating decimal , how many nonzero digits will d have ?
A.one.
B.two.
C.three.
D.seven.
e ) tenC.
"another way to do it is : we know x ^ a * y ^ a = ( x * y ) ^ a given = 1 / ( 2 ^ 3 * 5 ^ 11 ) = multiply and divide by 2 ^ 8 = 2 ^ 8 / ( 2 ^ 3 * 2 ^ 8 * 5 ^ 11 ) = 2 ^ 8 / 10 ^ 11 = > non zero digits are 256 = > ans c" | null |
Question: a man is 25 years older than his son . in two years , his age will be twice the age of his son . the present age of the son is ?
A.11.
B.23.
C.27.
D.22.
e ) 91B.
"let the son ' s present age be x years . then , man ' s present age = ( x + 25 ) years . ( x + 25 ) + 2 = 2 ( x + 2 ) x + 27 = 2 x + 4 = > x = 23 . answer : b" | null |
Question: calculate the sum of first 89 natural numbers .
A.2017.
B.2647.
C.2147.
D.2045.
e ) 4005E.
"solution we know that ( 1 + 2 + 3 + . . . . . + 89 ) = n ( n + 1 ) / 2 therefore ( 1 + 2 + 3 + . . . . + 89 ) = ( 89 × 90 / 2 ) = 4005 . answer e" | null |
Question: a jogger running at 10 km / hr along side a railway track is 340 m ahead of the engine of a 120 m long train running at 46 km / hr in the same direction . in how much time will the train pass the jogger ?
A.76 sec.
B.67 sec.
C.98 sec.
D.46 sec.
e ) 23 secD.
"speed of train relative to jogger = 46 - 10 = 36 km / hr . = 36 * 5 / 18 = 10 m / sec . distance to be covered = 340 + 120 = 460 m . time taken = 460 / 10 = 46 sec . answer : d" | null |
Question: an amount of rs . 10000 is invested in two types of shares . the first yields an interest of 9 % p . a and the second , 11 % p . a . if the total interest at the end of one year is 9 3 / 4 % , then the amount invested at 11 % was ?
A.2377.
B.3750.
C.2997.
D.2677.
e ) 1987B.
let the sum invested at 9 % be rs . x and that invested at 11 % be rs . ( 10000 - x ) . then , ( x * 9 * 1 ) / 100 + [ ( 10000 - x ) * 11 * 1 ] / 100 = ( 10000 * 39 / 4 * 1 / 100 ) ( 9 x + 110000 - 11 x ) / 100 = 3900 / 4 = 975 ( 9 x + 110000 - 11 x ) = 97500 x = 6250 sum invested at 9 % = rs . 6250 sum invested at 11 % = rs . ( 10000 - 6250 ) = rs . 3750 . answer : b | null |
Question: the present population of a town is 300 . population increase rate is 10 % p . a . find the population of town after 1 years ?
A.100.
B.120.
C.200.
D.220.
e ) 330E.
p = 300 r = 10 % required population of town = p * ( 1 + r / 100 ) ^ t = 300 * ( 1 + 10 / 100 ) = 300 * ( 11 / 10 ) = 330 answer is e | null |
Question: in a race of 1000 m , a can beat by 100 m , in a race of 800 m , b can beat c by 100 m . by how many meters will a beat c in a race of 600 m ?
A.236.
B.127.5.
C.267.
D.268.
e ) 281B.
"when a runs 1000 m , b runs 900 m and when b runs 800 m , c runs 700 m . when b runs 900 m , distance that c runs = ( 900 * 700 ) / 800 = 6300 / 8 = 787.5 m . in a race of 1000 m , a beats c by ( 1000 - 787.5 ) = 212.5 m to c . in a race of 600 m , the number of meters by which a beats c = ( 600 * 212.5 ) / 1000 = 127.5 m answer : b" | null |
Question: a powder tin has a square base with side 8 cm and height 14 cm . another tin has a circular base with diameter 8 cm and height 14 cm . the difference in their capacities is :
['A.168 cm ³', 'B.192 cm ³', 'C.228 cm ³', 'D.236 cm ³', 'e ) none']B.
sol . difference in capacities = [ 8 * 8 * 14 - 22 / 7 * 4 * 4 * 14 ] cm ³ = 192 cm ³ answer b | null |
Question: today david , who is 40 years old , and his daughter , who is 12 years old , celebrate their birthdays . how many years will pass before david ’ s age is twice his daughter ’ s age ?
A.22.
B.20.
C.16.
D.18.
e ) 14C.
forget conventional ways of solving math questions . in ps , ivy approach is the easiest and quickest way to find the answer . after x years passes david ’ s age will be ( 40 + x ) years old , and his daughter ’ s age will be ( 12 + x ) years old . since the david ’ s age is twice his daughter ’ s age ( 40 + x ) = 2 * ( 12 + x ) - - - > 40 + x = 24 + 2 x - - - > x = 16 the answer is ( c ) . | null |
Question: ( 17 ) 3.5 x ( 17 ) ? = 178
A.2.29.
B.2.75.
C.4.25.
D.4.5.
e ) none of theseD.
"solution let ( 17 ) 3.5 * ( 17 ) x = 178 . then , ( 17 ) 3.5 + x = ( 17 ) 8 . ∴ 3.5 + x = 8 ⇔ x = ( 8 - 3.5 ) ⇔ x = 4.5 answer d" | null |
Question: earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and ellen requires a minutes and half to stuff the same number of envelops . working together , how long will it take earl and ellen to stuff 120 envelopes
A.2 minutes.
B.5 minutes.
C.7 minutes.
D.3 minutes.
e ) 4 minutesA.
"earl takes 1 min . for 36 envelopes . ellen takes 3 / 2 mins for the same . so ellen can stuff ( ( 36 ) / ( 3 / 2 ) ) in 1 min . i . e . , 24 envelopes a min . so both of them when work together can stuff 36 + 24 = 60 envelopes in 1 min . for 120 envelopes they will take 120 / 60 mins . i . e . , 2 mins . answer : a" | null |
Question: if ( 400 ) ( 7000 ) = ( 28000 ) ( 100 ^ x ) , what is the value of x ?
A.5.
B.4.
C.3.
D.2.
e ) 1E.
( 400 ) ( 7,000 ) = ( 2,800 ) ( 100 ^ x ) = > ( 400 ) ( 7,000 ) / 2,800 = 100 ^ x = > 100 = 100 ^ x = > 100 ^ 1 = 100 ^ x since , base is same so powers will be same too . so , x = 1 answer will be e | null |
Question: having received his weekly allowance , john spent 3 / 5 of his allowance at the arcade . the next day he spent one third of his remaining allowance at the toy store , and then spent his last $ 0.64 at the candy store . what is john ’ s weekly allowance ?
A.$ 2.40.
B.$ 3.00.
C.$ 3.20.
D.$ 3.60.
e ) $ 4.80A.
"total allowance = x amount spent at the arcade = 3 / 5 x amount remaining = 2 / 5 x amount spent at the toy store = 2 / 5 * 1 / 3 x = 2 / 15 x amount remaining = 2 / 5 x - 2 / 15 x = 4 / 15 x now , 4 / 15 x = $ 0.64 therefore , x = $ 2.40 . answer a" | null |
Question: a number of 41 marbles is to be divided and contain with boxes . if each box is to contain 3 , 4 , or 5 marbles , what is the largest possible number of boxes ?
A.13.
B.12.
C.15.
D.16.
e ) 17A.
"to maximize # of boxes we should minimize marbles per box : 12 * 3 + 1 * 5 = 41 - - > 12 + 1 = 13 . answer : a ." | null |
Question: the sum of the present age of henry and jill is 41 . what is their present ages if 7 years ago henry was twice the age of jill ?
A.and 25.
B.and 24.
C.and 22.
D.and 29.
e ) of theseA.
let the age of jill 7 years ago be x , age of henry be 2 x x + 7 + 2 x + 7 = 41 x = 9 present ages will be 16 and 25 answer : a | null |
Question: set x consists of the integers from 0 to 12 , inclusive , while set y consists of the integers from 6 to 10 , inclusive . how many distinct integers do belong to the both sets at the same time ?
A.4.
B.10.
C.5.
D.9.
e ) 8C.
"x = { 0 , 1,2 , 3,4 , 5,6 , 7 , 8 , 9 , 10 , 11 , 12 } y = { 6 , 7 , 8 , 9 , 10 } common elements = { 6 , 7 , 8 , 9 , 10 } = 5 elements answer : option c ." | null |
Question: a watch was sold at a loss of 10 % . if it was sold for rs . 500 more , there would have been a gain of 10 % . what is the cost price ?
A.1000.
B.2998.
C.2500.
D.2788.
e ) 2991C.
"90 % 110 % - - - - - - - - 20 % - - - - 500 100 % - - - - ? = > rs . 2500 answer : c" | null |
Question: what is the area of a square field whose diagonal of length 26 m ?
A.287.
B.269.
C.338.
D.200.
e ) 230C.
"d 2 / 2 = ( 26 * 26 ) / 2 = 338 answer : c" | null |
Question: a book is bought for $ 600 and sold for $ 624 . what is the profit in percentage ?
A.2.
B.4.
C.6.
D.8.
e ) 10B.
"624 / 600 = 1.04 the answer is b ." | null |
Question: a store owner estimates that the average price of type a products will increase by 35 % next year and that the price of type b products will increase by 20 % next year . this year , the total amount aid for type a products was $ 3500 and the total price paid for type b products was $ 6300 . according to the store owner ' s estimate , and assuming the number of products purchased next year remains the same as that of this year , how much will be spent for both products next year ?
A.$ 14,755.
B.$ 15,325.
C.$ 16,000.
D.$ 12,285.
e ) $ 17,155D.
"cost of type a products next year = 1.35 * 3500 = 4725 cost of type b products next year = 1.2 * 6300 = 7560 total 4725 + 7560 = 12285 answer : d" | null |
Question: a , b and c play a cricket match . the ratio of the runs scored by them in the match is a : b = 2 : 3 and b : c = 2 : 5 . if the total runs scored by all of them are 75 , the runs scored by a are ?
A.11.
B.18.
C.13.
D.17.
e ) 12E.
"a : b = 2 : 3 b : c = 2 : 5 a : b : c = 4 : 6 : 15 4 / 25 * 75 = 12 answer : e" | null |
Question: two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 10 seconds . find the length of the faster train ?
A.270.
B.288.
C.100.
D.299.
e ) 126C.
"relative speed = ( 72 - 36 ) * 5 / 18 = 2 * 5 = 10 mps . distance covered in 27 sec = 10 * 10 = 100 m . the length of the faster train = 100 m . answer : c" | null |
Question: a trader sells 78 meters of cloth for rs . 6788 at the profit of rs . 29 per metre of cloth . what is the cost price of one metre of cloth ?
A.22.
B.75.
C.60.
D.58.
e ) 11D.
"sp of 1 m of cloth = 6788 / 78 = rs . 87 cp of 1 m of cloth = sp of 1 m of cloth - profit on 1 m of cloth = rs . 87 - rs . 29 = rs . 58 . answer : d" | null |
Question: by selling an article at rs . 800 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 50 % ?
A.s . 429.
B.s . 480.
C.s . 320.
D.s . 128.
e ) s . 419C.
"sp = 800 profit = 25 % cp = ( sp ) * [ 100 / ( 100 + p ) ] = 800 * [ 100 / 125 ] = 640 loss = 50 % = 50 % of 640 = rs . 320 sp = cp - loss = 640 - 320 = rs . 320 answer : c" | null |
Question: a ( 8 , w ^ 2 ) is the ( x , y ) coordinate of point located on the parabola y = x ^ 2 + 17 . what is the value of w ?
A.3 ..
B.4 ..
C.5 ..
D.6 ..
e ) 9 .E.
"y = x ^ 2 + 17 w ^ 2 = 8 ^ 2 + 17 w ^ 2 = 81 w = 9 answer e" | null |
Question: on a certain transatlantic crossing , 40 percent of a ship ’ s passengers held round - trip tickets and also took their cars abroad the ship . if 50 percent of the passengers with round - trip tickets did not take their cars abroad the ship , what percent of the ship ’ s passengers held round - trip tickets ?
A.40 %.
B.50 %.
C.60 %.
D.80 %.
e ) 90 %D.
let t be the total number of passengers . let x be the number of people with round trip tickets . 0.4 t had round trip tickets and took their cars . 0.5 x had round trip tickets and took their cars . 0.5 x = 0.4 t x = 0.8 t the answer is d . | null |
Question: if log 2 = 0.30103 , the number of digits in 2128 is .
A.38.
B.39.
C.40.
D.41.
e ) 56B.
log ( 2128 ) = 128 log ( 2 ) = 128 × 0.30103 ≈ 38.4 ie , its characteristic = 38 hence , number of digits in 2128 = 38 + 1 = 39 answer : option b | null |
Question: bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 40 white marbles . how many red marbles could be in bag a ?
A.8.
B.3.
C.4.
D.6.
e ) 8A.
"6 is the answer . bag a - r : w : b = 2 : 6 : 9 let w in bag a be 6 k bab b - r : w = 1 : 3 let w in bag b be 4 k w = 30 = 6 k + 4 k = > k = 40 / 10 = 4 total red ' s in bag a will be 2 k = 8 a" | null |
Question: if a person walks at 5 km / hr instead of 4 km / hr , he would have walked 6 km more . the actual distance traveled by him is ?
A.14.
B.20.
C.18.
D.24.
e ) 21D.
"let the actual distance traveled be x km . then , x / 4 = ( x + 6 ) / 5 x - 24 = > x = 24 km . answer : d" | null |
Question: if tim had lunch at $ 60.80 and he gave 20 % tip , how much did he spend ?
A.$ 30.60.
B.$ 60.60.
C.$ 72.96.
D.$ 40.60.
e ) $ 50.60C.
the tip is 20 % of what he paid for lunch . hence tip = 20 % of 60.80 = ( 20 / 100 ) * 60.80 = $ 12.16 total spent 60.80 + 12.16 = $ 72.96 correct answer c | null |
Question: when asked what the time is , a person answered that the amount of time left is 1 / 3 of the time already completed . what is the time .
A.2 pm.
B.9 pm.
C.3 pm.
D.8 pm.
e ) 6 pmE.
"a day has 24 hrs . assume x hours have passed . remaining time is ( 24 - x ) 24 − x = 1 / 3 x ⇒ x = 18 time is 6 pm answer : e" | null |
Question: a ladder 18 feet long is leaning against a wall that is perpendicular to level ground . the bottom of the ladder is 6 feet from the base of the wall . if the top of the ladder slips down 4 feet , how many feet will the bottom of the ladder slip ?
A.12.5.
B.15.
C.18.
D.19.
e ) 25A.
"18 ^ 2 - 6 ^ 2 = 288 it means that the height is equal to 16.9 . since the top of the ladder slips down 4 feet , then the height of the wall = 16.9 - 4 = 12.9 the bottom = sqrt ( 18 ^ 2 - 12.9 ^ 2 ) = sqrt ( 324 - 166.41 ) = 12.5 ans is a" | null |
Question: if x is to be chosen at random from the set { 1 , 2 , 3 , 4 } and y is to be chosen at random from the set { 5 , 6 , 7 } , what is the probability that xy will be even ?
A.1 / 6.
B.1 / 3.
C.1 / 2.
D.2 / 3.
e ) 5 / 6D.
"in order to make even nos . by multiplication , we should have even * odd , odd * even or even * even total even nos . possible by multiplying nos . from the 2 sets : ( 1 * 6 ) ; 2 * any of the three from set b ; 3 * 6 ; & 4 * any of the three from set b 1 + 3 + 1 + 3 = 8 total possibilities = 4 * 3 = 12 p ( event ) = 8 / 12 or 2 / 3 ans d" | null |
Question: johnny makes $ 3.25 per hour at his work . if he works 8 hours , how much money will he earn ?
A.$ 30.
B.$ 54.
C.$ 26.
D.$ 12.
e ) $ 9.60C.
3.25 * 8 = 26 . answer is c . | null |
Question: an article is bought for rs . 1280 and sold for rs . 900 , find the loss percent ?
A.28 %.
B.29 %.
C.16 %.
D.26 %.
e ) 32 %B.
"1280 - - - - 380 100 - - - - ? = > 29 % answer : b" | null |
Question: what is the rate percent when the simple interest on rs . 800 amount to rs . 160 in 3 years ?
A.5 %.
B.6.6 %.
C.9 %.
D.2 %.
e ) 4 %B.
"160 = ( 800 * 3 * r ) / 100 r = 6.6 % answer : b" | null |
Question: solve below question 2 x + 1 = - 17
A.- 8.
B.- 9.
C.9.
D.8.
e ) - 7B.
"1 . subtract 1 from both sides : 2 x + 1 - 1 = - 17 - 1 2 . simplify both sides : 2 x = - 18 3 . divide both sides by 2 : 4 . simplify both sides : x = - 9 b" | null |
Question: what is the difference between the largest number and the least number written with the digits 9 , 3 , 1 , 2 ?
A.6084.
B.3788.
C.2077.
D.8082.
e ) 1812D.
"explanation : 1239 9321 - - - - - - - - - - - - 8082 answer : d" | null |
Question: if m and n are positive integer , and 1800 m = n ^ 3 , what is the least possible value of m ?
A.2.
B.3.
C.15.
D.30.
e ) 45C.
1800 * m = n ^ 3 m = n ^ 3 / 1800 = n ^ 3 / ( 3 ^ 2 * 5 ^ 2 * 2 ^ 3 ) so n has to be 3 * 5 * 2 so that n ^ 3 is divisible by 1800 . so m = ( 2 * 3 * 5 ) ^ 3 / ( 3 ^ 2 * 5 ^ 2 * 2 ^ 3 ) m = 15 answer : c | null |
Question: the moon revolves around the earth at a speed of approximately 1.04 kilometers per second . this approximate speed is how many kilometers per hour ?
A.60.
B.61.2.
C.3,744.
D.3,600.
e ) 3,672C.
"moon revolves around the earth at a speed of 1.02 kilometers per second . one hour equal to 60 minutes . one minute equals to 60 seconds . so one hour equals to 3600 seconds . so one hour , speed = 1.04 * 3600 = 3744 kilometers per hour . option c is correct" | null |
Question: rates for having a manuscript typed at a certain typing service are $ 6 per page for the first time a page is typed and $ 3 per page each time a page is revised . if a certain manuscript has 100 pages , of which 30 were revised only once , 10 were revised twice , and the rest required no revisions , what was the total cost of having the manuscript typed ?
A.$ 690.
B.$ 620.
C.$ 650.
D.$ 640.
e ) $ 770A.
"for 100 - 30 - 10 = 60 pages only cost is 6 $ per page for the first time page is typed - 60 * 5 = 300 $ ; for 30 pages the cost is : first time 6 $ + 3 $ of the first revision - 30 * ( 6 + 3 ) = 270 $ ; for 10 pages the cost is : first time 5 $ + 3 $ of the first revision + 3 $ of the second revision - 10 ( 6 + 3 + 3 ) = 120 $ ; total : 300 + 270 + 120 = 690 $ . answer : a ." | null |
Question: a trader sells 85 meters of cloth for rs . 8925 at the profit of rs . 15 per metre of cloth . what is the cost price of one metre of cloth ?
A.rs . 90.
B.rs . 76.
C.rs . 98.
D.rs . 18.
e ) rs . 02C.
"sp of 1 m of cloth = 8925 / 85 = rs . 105 cp of 1 m of cloth = sp of 1 m of cloth - profit on 1 m of cloth = rs . 105 - rs . 15 = rs . 90 . answer : c" | null |
Question: 20 % of a number is added to 120 , the result is the same number . find the number ?
A.150.
B.288.
C.1687.
D.997.
e ) 121A.
"( 20 / 100 ) * x + 120 = x 2 x = 300 x = 150 answer : a" | null |
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