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Question: one pipe can fill a tank four times as fast as another pipe . if together the two pipes can fill the tank in 36 minutes , then the slower pipe alone will be able to fill the tank in :
A.180 min.
B.144 min ..
C.126 min.
D.114 min.
e ) 124 minA.
explanation : let time taken by the faster pipe to fill the tank = x minutes . then , time taken by the slower pipe to fill the tank = 4 x minutes . time taken by both pipes together to fill the tank = x x 4 x / x + 4 x = 4 x / 5 4 x / 5 = 36 β x = 45 time taken by the slower pipe to fill the tank = 4 x = 180 minutes . answer : option a | null |
Question: carl is facing very difficult financial times and can only pay the interest on a $ 10,000 loan he has taken . the bank charges him a quarterly compound rate of 8 % . what is the approximate interest he pays annually ?
A.1500.
B.1750.
C.2000.
D.3500.
e ) 2500D.
"an easy way too attempt this is by approximation : for the first quarter , he pays 8 % of 10,000 which is $ 800 . so for the four quarters in the year , he will approximately play 800 * 4 = 3200 over the entire year . because of compound interest it will be more than 3200 . approx . option d is correct . answer : d" | null |
Question: a patient is given exactly 750 milliliters of a mixture of two medications daily . medication a contains 40 % pain killer and medication b contains 20 % pain killer . if the patient receives exactly 215 milliliters of pain killer daily , how many milliliters of medication b are in the mixture ?
A.150.
B.225.
C.325.
D.425.
e ) 550D.
let there be a milliliters of medication a and b milliliters of medication b a + b = 750 - - 1 medication a contains 40 % pain killer and medication b contains 20 % pain killer . ( 40 / 100 ) * a + ( 20 / 100 ) * b = 215 = > ( 2 / 5 ) * a + ( 1 / 5 ) * b = 215 multiplying by 5 , we get 2 a + b = 1075 - - 2 equation 2 - equation 1 , we get a = 325 b = 425 answer d | null |
Question: a train passes a platform in 18 seconds . the same train passes a man standing on the platform in 20 seconds . if the speed of the train is 54 km / hr , the length of the platform is
A.120.
B.250.
C.260.
D.230.
e ) 220A.
"speed of the train = 54 km / hr = ( 54 Γ 10 ) / 36 m / s = 15 m / s length of the train = speed Γ time taken to cross the man = 15 Γ 20 = 300 m let the length of the platform = l time taken to cross the platform = ( 300 + l ) / 15 = > ( 300 + l ) / 15 = 18 = > 300 + l = 15 Γ 18 = 270 = > l = 390 - 270 = 120 meter answer is a ." | null |
Question: let s is a set of all natural numbers less than 120 such that hcf of any element in s and 120 is 1 . find the sum of all elements in s ?
A.1584.
B.7640.
C.5640.
D.7240.
e ) 6780A.
s is a set of all natural numbers less than 120 such that hcf of any element in s and 120 is 1 . such numbers are , s = { 1 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , 31 , 37 , 41 , 43 , 47 , 53 , 59 , 61 , 67 , 71 , 73 , 79 , 83 , 89 , 97 , 101 , 103 , 107 , 109 , 113 } sum of s = 1584 . answer : a | null |
Question: a swimmer can swim in still water at 4 km / h . if the speed of the water current is 2 km / h , how many hours will the swimmer take to swim against the current for 5 km ?
A.2.0.
B.2.5.
C.3.0.
D.3.5.
e ) 4.0B.
"the swimmer can swim against the current at a speed of 4 - 2 = 2 km / h . the time it will take is 5 / 2 = 2.5 hours . the answer is b ." | null |
Question: if a tire rotates at 400 revolutions per minute when the car is traveling 48 km / h , what is the circumference of the tire ?
A.7 meters.
B.9 meters.
C.8 meters.
D.2 meters.
e ) 3 metersD.
"400 rev / minute = 400 * 60 rev / 60 minutes = 24,000 rev / hour 24,000 * c = 48,000 m : c is the circumference c = 2 meters correct answer d" | null |
Question: a snooker tournament charges $ 45.00 for vip seats and $ 20.00 for general admission ( β regular β seats ) . on a certain night , a total of 320 tickets were sold , for a total cost of $ 7500 . how many fewer tickets were sold that night for vip seats than for general admission seats ?
A.200.
B.276.
C.230.
D.240.
e ) 250B.
let no of sits in vip enclosure is x then x * 45 + 20 ( 320 - x ) = 7500 or 25 x = 7500 - 6400 , x = 1100 / 25 = 44 vip = 44 general 320 - 44 = 276 b | null |
Question: find the principle on a certain sum of money at 5 % per annum for 3 1 / 5 years if the amount being rs . 1160 ?
A.rs . 1000.
B.rs . 1100.
C.rs . 1010.
D.rs . 10000.
e ) none of theseA.
"explanation : 1160 = p [ 1 + ( 5 * 16 / 5 ) / 100 ] p = 1000 answer : option a" | null |
Question: 4 balls of different colors are to be placed in 3 different boxes such that any box contains at least 1 ball . what is the maximum number of different ways in which this can be done ?
A.60.
B.90.
C.120.
D.150.
e ) 180E.
since the balls are all of different colors , let ' s permute them and then decide how many balls we put in each box . for example , arrange in a row the balls , then decide : two balls go into the first box , next two in the second box , and the last ball goes to the third box . since in each box there must be at least one ball , we have the possibilities of ( 2 , 2,1 ) , ( 2 , 1,2 ) , ( 1 , 2,2 ) or ( 3 , 1,1 ) , ( 1 , 3,1 ) , ( 1 , 1,3 ) balls in the three boxes . for the 2 , 2,1 type arrangements , we have [ 6 ! / ( 2 ! 2 ! 1 ! ) ] * 3 = 100 possibilities . inside a box , it does n ' t matter the order of the balls . for the 3 , 1,1 type arrangements , we have [ 6 ! / ( 3 ! 1 ! 1 ! ) ] * 3 = 80 possibilities . total of 100 + 80 = 180 possibilities . answer e . | 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 { 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 / 6A.
"probably the best way to solve would be to use 1 - p ( opposite event ) = 1 - p ( odd ) = 1 - p ( odd ) * p ( odd ) = 1 - 2 / 4 * 2 / 3 = 8 / 12 = 1 / 6 answer : a" | null |
Question: find the ones digit of 73 ^ 300
A.3.
B.5.
C.6.
D.7.
e ) 10E.
"cyclicity of 3 is 3,9 , 7,1 after 4 multiplication again the cycle repeats . so divide 330 by 4 and we get 87 as quotient and 2 as remainder . so cycle will run for 87 times and then 2 times more . so pick up the 2 nd item from the cycle . hence answer e ." | null |
Question: find the value of ( 0.75 * 0.75 * 0.75 - 0.001 ) / ( 0.75 * 0.75 - 0.075 + 0.01 )
A.0.845.
B.0.849.
C.0.842.
D.0.828.
e ) 0.8419A.
"0.845 answer : a" | null |
Question: a train passes a station platform in 36 sec and a man standing on the platform in 20 sec . if the speed of the train is 54 km / hr . what is the length of the platform ?
A.120 m.
B.240 m.
C.300 m.
D.500 m.
e ) 550 mB.
"speed = 54 * 5 / 18 = 15 m / sec . length of the train = 15 * 20 = 300 m . let the length of the platform be x m . then , ( x + 300 ) / 36 = 15 = > x = 240 m . answer b" | null |
Question: the length of the bridge , which a train 140 metres long and travelling at 45 km / hr can cross in 30 seconds , is ?
A.255.
B.267.
C.235.
D.277.
e ) 211C.
"speed = [ 45 x 5 / 18 ] m / sec = [ 25 / 2 ] m / sec time = 30 sec let the length of bridge be x metres . then , ( 140 + x ) / 30 = 25 / 2 = > 2 ( 140 + x ) = 750 = > x = 235 m . answer : c" | null |
Question: working together , printer a and printer b would finish the task in 24 minutes . printer a alone would finish the task in 60 minutes . how many pages does the task contain if printer b prints 10 pages a minute more than printer a ?
A.600.
B.800.
C.1000.
D.1200.
e ) 1500D.
answer : d . | null |
Question: the average height of 35 boys in a class was calculated as 185 cm . it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm . find the actual average height of the boys in the class ( round off your answer to two decimal places ?
A.187.89 cm.
B.183.29 cm.
C.123.98 cm.
D.149.98 cm.
e ) 146.89 cmB.
"calculated average height of 35 boys = 185 cm . wrong total height of 35 boys = 180 * 35 cm . this was as a result of an actual height of 106 cm being wrongly written as 166 cm . correct total height of 35 boys = 185 cm - ( 166 cm - 106 cm ) / 35 = 185 cm - 60 / 35 cm = 185 cm - 1.71 cm = 183.29 cm . answer : b" | null |
Question: whats the reminder when 65,985 , 241,545 , 898,754 , 582,556 , 898,522 , 454,889 is divided by 16
A.1.
B.7 ..
C.2 ..
D.3.
e ) 9E.
a number ending in a 0 is divisible by 2 . a number ending in 2 zeroes is divisible by 4 . a number ending in 3 zeroes is divisible by 8 . a number ending in 4 zeroes in divisible by 16 . given the obscene number , you should immediately be convinced that you will need to focus on a very small part of it . 65,985 , 241,545 , 898,754 , 582,556 , 898,522 , 454,889 = 65,985 , 241,545 , 898,754 , 582,556 , 898,522 , 450,000 + 4,889 the first number is divisible by 16 . you just have to find the remainder when you divide 5287 by 16 . that will be the remainder when you divide the original number by 16 . 4889 / 16 gives remainder 9 . answer ( e ) | null |
Question: you enter a weight loss challenge game and manage to lose 12 % 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 ?
A.10.24 %.
B.9.22 %.
C.9 %.
D.14 %.
e ) 12 %A.
"( 100 % - 12 % ) * ( 100 % + 2 % ) = 0.88 * 1.02 = 10.24 % the weigh in records your weight loss at 10.24 % ! the answer is a" | null |
Question: if 20 men can build a water fountain 56 metres long in 14 days , what length of a similar water fountain can be built by 35 men in 3 days ?
A.21 m.
B.24 m.
C.27 m.
D.29 m.
e ) 30 mA.
"explanation : let the required length be x metres more men , more length built ( direct proportion ) less days , less length built ( direct proportion ) men 20 : 35 days 14 : 3 : : 56 : x therefore ( 20 x 14 x x ) = ( 35 x 3 x 56 ) x = ( 35 x 3 x 56 ) / 280 = 49 hence , the required length is 21 m . answer : a" | null |
Question: if 4 ( p ' s capital ) = 6 ( q ' s capital ) = 10 ( r ' s capital ) , then out of the total profit of rs 4650 , r will receive
A.600.
B.700.
C.800.
D.900.
e ) none of theseD.
"explanation : let p ' s capital = p , q ' s capital = q and r ' s capital = r then 4 p = 6 q = 10 r = > 2 p = 3 q = 5 r = > q = 2 p / 3 r = 2 p / 5 p : q : r = p : 2 p / 3 : 2 p / 5 = 15 : 10 : 6 r ' s share = 4650 * ( 6 / 31 ) = 150 * 6 = 900 . answer : option d" | null |
Question: the average age of 15 students of a class is 15 years . out of these , the average age of 8 students is 14 years and that of the other 6 students is 16 years , the age of the 15 th student is
A.17.
B.12.
C.13.
D.14.
e ) 15A.
"explanation : age of the 15 th student = [ 15 * 15 - ( 14 * 8 + 16 * 6 ) ] = 17 years . answer : a" | null |
Question: if log 2 = 0.3010 and log 3 = 0.4771 then the value of log 4.5 is :
A.0.6532.
B.0.7727.
C.0.3266.
D.0.3796.
e ) none of theseA.
"log 3 + log 3 = log ( 3 * 3 ) - > log 9 = 0.4771 + 0.4771 = 0.9542 now log 9 - log 2 = log ( 9 / 2 ) = log 4.5 - > log 4.5 = 0.9542 - 0.3010 = 0.6532 answer : a" | null |
Question: a committee is reviewing a total of 40 x black - and - white films and 10 y color films for a festival . if the committee selects y / x % of the black - and - white films and all of the color films , what fraction of the selected films are in color ?
A.50 / 52.
B.55 / 52.
C.60 / 52.
D.40 / 52.
e ) 30 / 52A.
"say x = y = 10 . in this case we would have : 40 x = 400 black - and - white films ; 10 y = 100 color films . y / x % = 10 / 10 % = 1 % of the black - and - white films , so 4 black - and - white films and all 100 color films , thus total of 104 films were selected . color films thus compose 100 / 104 = 50 / 52 of the selected films . answer : a" | null |
Question: a clock shows the time as 10 a . m . if the minute hand gains 5 minutes every hour , how many minutes will the clock gain by 6 p . m . ?
A.45 minutes.
B.55 minutes.
C.35 minutes.
D.25 minutes.
e ) 40 minutesE.
"there are 8 hours in between 10 a . m . to 6 p . m . 8 * 5 = 40 minutes . answer : e" | null |
Question: in 1970 there were 8,902 women stockbrokers in the united states . by 1978 the number had increased to 23,947 . approximately what was the percent increase ?
A.45 %.
B.125 %.
C.145 %.
D.150 %.
e ) 169 %E.
"the percent increase is ( 23947 - 8902 ) / 8902 = 15045 / 8902 = 1.69 so the approximate answer is e" | null |
Question: if the cost price of 24 chocolates is equal to the selling price of 16 chocolates , the gain percent is :
A.24 %.
B.8 %.
C.50 %.
D.40 %.
e ) none of theseC.
"explanation : solution : let c . p . of each chocolate be re . 1 . then , c . p . of 16 chocolates = rs . 16 ; s . p . of 16 chocolates = rs . 24 . . ' . gain % = 8 * 100 / 16 = 50 % answer : c" | null |
Question: a fort had provision of food for 150 men for 45 days . after 10 days , 25 men left the fort . find out the number of days for which the remaining food will last .
A.44.
B.42.
C.40.
D.38.
e ) 36B.
explanation : given that fort had provision of food for 150 men for 45 days hence , after 10 days , the remaining food is sufficient for 150 men for 35 days remaining men after 10 days = 150 - 25 = 125 assume that after 10 days , the remaining food is sufficient for 125 men for x days more men , less days ( indirect proportion ) ( men ) 150 : 125 : : x : 35 β 150 Γ 35 = 125 x β 6 Γ 35 = 5 x β x = 6 Γ 7 = 42 i . e . , the remaining food is sufficient for 125 men for 42 days answer : option b | null |
Question: the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 14 and 15 . the larger of the two numbers is :
A.338.
B.278.
C.345.
D.231.
e ) 121C.
"clearly , the numbers are ( 23 * 14 ) and ( 23 * 15 ) . larger number = ( 23 * 15 ) = 345 . answer : c" | null |
Question: during a given week a programmer spends 1 / 4 of his time preparing flow chart , 3 / 8 of his time coding and the rest of the time in debugging the programs . if he works 48 hours during the week , how many hours did he spend debugging the program .
A.15 hrs.
B.16 hrs.
C.18 hrs.
D.19 hrs.
e ) 17 hrsC.
programmer takes 1 / 4 * 48 = 12 hrs a week to make flowchrt same way . . . . . 18 hrs a week for codin . . . so . . . . for debugging = 48 - ( 12 + 18 ) = 18 hrs answer : c | null |
Question: 1 / 2,16 , 4,15 , 3,56 , _ ?
A.28 / 3.
B.27 / 3.
C.26 / 3.
D.25 / 3.
e ) 24 / 3A.
"take alternative no . 1 / 2 , 4,3 16 / 4 = 4 15 / 5 = 3 56 / 6 = 28 / 3 hence ans is 28 / 3 answer : a" | null |
Question: there is enough provisions for 600 men in an army camp for 25 days . if there were 250 men less , how long will the provision last ?
A.10 days.
B.40 days.
C.50 days.
D.60 days.
e ) 80 daysD.
"exp : we have , m 1 d 1 = m 2 d 2 600 * 25 = 250 * d 2 d 2 = 600 * 25 / 250 = 60 days . answer : d" | null |
Question: in what time will a train 200 m long cross an electric pole , it its speed be 144 km / hr ?
A.2.5 sec.
B.1.9 sec.
C.8.9 sec.
D.6.9 sec.
e ) 5 secE.
"speed = 144 * 5 / 18 = 40 m / sec time taken = 200 / 40 = 5 sec . answer : e" | null |
Question: in a group of 100 cars , 49 cars do not have air conditioning . if at least 51 cars have racing stripes , what is the greatest number of cars that could have air conditioning but not racing stripes ?
A.49.
B.47.
C.48.
D.51.
e ) 53A.
lets assume ac = 51 ( includesonly ac carsandcars with ac and racing stripes ) lets assume rs ( racing stripes ) > = 51 ( includescars with ac and racing stripesandonly racing stripes ) . now since we want to maximize ( only ac ) we have to see to it thatcars with ac and racing stripesis minimal ( assume 0 ) but since rs > = 51 . . we have to assign atleast 2 tocars with ac and racing stripes . hence ac = 51 - 2 = 49 . the answer is a | null |
Question: at what rate percent on simple interest will rs . 1500 amount to rs . 2000 in 5 years ?
A.8.33 %.
B.3 6 / 7 %.
C.2 6 / 7 %.
D.5 %.
e ) 6 %A.
"explanation : 500 = ( 1500 x 5 xr ) / 100 r = 8.33 % answer : option a" | null |
Question: last year a certain bond price with a face value of 5000 yielded 10 % of its face value in interest . if that interest was approx 6.5 of the bond ' s selling price approx what was the bond ' s selling price ?
A.7692.
B.5325.
C.5351.
D.6000.
e ) 6154A.
"interest = 0.08 * 5000 = 0.065 * selling price - - > selling price = 0.1 * 5000 / 0.065 - - > selling price = ~ 7692 answer : a ." | null |
Question: the number of people who purchased book a is twice the number of people who purchased book b . the number of people who purchased both books a and b is 500 , which is twice the number of people who purchased only book b . what is the number of people c who purchased only book a ?
A.250.
B.500.
C.750.
D.1000.
e ) 1500D.
"this is best solved using overlapping sets or a venn diagram . we know that a = 2 b , and that 500 people purchased both a and b . further , those purchasing both was double those purchasing b only . this gives us 250 people purchasing b only . with the 500 that pruchased both , we have a total of 750 that purchased b and this is 1 / 2 of those that purchased a . so , 1500 purchased a . less the 500 that purchased both , c = 1000 purchased a only . ( this is much simpler to solve using the venn diagram ) . correct answer is d . 1000" | null |
Question: company s produces two kinds of stereos : basic and deluxe . of the stereos produced by company s last month , 2 / 3 were basic and the rest were deluxe . if it takes 1.1 as many hours to produce a deluxe stereo as it does to produce a basic stereo , then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos ?
A.7 / 17.
B.14 / 31.
C.7 / 15.
D.11 / 31.
e ) 1 / 2D.
"the easiest way for me is to plug in numbers . let the number of basic stereos produced be 40 , and number of delux stereos produced be 20 . total of 60 stereos . if it takes an hour to produce a basic stereo then it will take 1.4 hours to produce a deluxe stereo . 40 basic stereos = 40 hours . 20 delux stereos = 22 hours . total hours = 62 . then the fraction would be 22 / 62 = 11 / 31 . therefore answer d ." | null |
Question: in township k , 1 / 5 of the housing units are equiped with cable tv . if 1 / 10 of the housing units , including 1 / 6 of those that are equiped with cable tv , are equipped with videocassette recorders , what fraction of the housing units have neither cable tv nor videocassette recorders ?
A.23 / 30.
B.11 / 15.
C.7 / 10.
D.1 / 6.
e ) 2 / 15B.
"1 / 5 - - cable tv ( this includes some data from video cassette recorder ) 1 / 10 - - video cassette recorder including 1 / 6 ( equiped with cable tv ) i . e . 1 / 6 ( 1 / 5 ) = 1 / 30 therefore only video cassette recorder = 1 / 10 - 1 / 30 = 1 / 15 total = 1 / 5 + 1 / 15 + neither cable tv nor videocassette recorders 1 = 4 / 15 + neither cable tv nor videocassette recorders therefore neither cable tv nor videocassette recorders = 1 - 4 / 15 = 11 / 15 hence b ." | null |
Question: walking at 3 / 4 of her normal speed , a worker is 8 minutes later than usual in reaching her office . the usual time ( in minutes ) taken by her to cover the distance between her home and her office is
A.20.
B.24.
C.28.
D.32.
e ) 36B.
"let v be her normal speed and let t be her normal time . d = ( 3 / 4 ) v * ( t + 8 ) since the distance is the same we can equate this to a regular day which is d = v * t v * t = ( 3 / 4 ) v * ( t + 8 ) t / 4 = 6 t = 24 the answer is b ." | null |
Question: the total age of a and b is 14 years more than the total age of b and c . c is how many years younger than a ?
A.14.
B.27.
C.21.
D.18.
e ) 11A.
"( a + b ) - ( b + c ) = 14 a - c = 14 . c is younger than a by 14 years . answer : a" | null |
Question: in a party every person shakes hands with every other person . if there were a total of 171 handshakes in the party then what is the number of persons present in the party ?
A.15.
B.16.
C.17.
D.18.
e ) 19E.
explanation : let the number of persons be n Γ’ Λ Β΄ total handshakes = nc 2 = 171 n ( n - 1 ) / 2 = 171 Γ’ Λ Β΄ n = 19 answer : option e | null |
Question: two spherical balls lie on the ground touching . if one of the balls has a radius of 7 cm , and the point of contact is 10 cm above the ground , what is the radius of the other ball ( in centimeters ) ?
A.30 / 7.
B.50 / 3.
C.70 / 4.
D.80 / 5.
e ) 90 / 8C.
"a straight line will join the two centers and the point of contact , thus making similar triangles . 3 / 7 = ( r - 10 ) / r 3 r = 7 r - 70 r = 70 / 4 the answer is c ." | null |
Question: a man performs 3 / 5 of the total journey by rail , 17 / 20 by bus and the remaining 6.5 km on foot . his total journey is
A.65 km.
B.100 km.
C.120 km.
D.130 km.
e ) 140 kmD.
explanation : let the journey be x km then , 3 x / 5 + 7 x / 20 + 6.5 = x 12 x + 7 x + 130 = 20 x x = 130 km answer : option d | null |
Question: two trains of length 100 meters and 200 meters are 450 meters apart . they are moving towards each other on parallel tracks , at speeds of 90 km / h and 72 km / h . after how many seconds will the trains meet ?
A.6.
B.8.
C.10.
D.12.
e ) 14C.
"the speeds are 90000 / 3600 = 25 m / s and 72000 / 3600 = 20 m / s the relative speed is 45 m / s . time = 450 / 45 = 10 seconds the answer is c ." | null |
Question: a train travels from new york to chicago , a distance of approximately 540 miles , at an average rate of 60 miles per hour and arrives in chicago at 6 : 00 in evening , chicago time . at what hour in the morning , new york time , did the train depart for chicago ? ( note : chicago time is one hour earlier than new york time )
A.3 : 00.
B.4 : 00.
C.5 : 00.
D.6 : 00.
e ) 10 : 00E.
"6 : 00 in evening in chicago = 7 : 00 in evening in new york . so , the train was in chicago 7 : 00 in the evening , new york time . the trip took t = d / r = 540 / 60 = 9 hours . therefore , the train depart from new york at 7 : 00 - 9 hours = 10 : 00 in the morning , new york time . answer : e ." | null |
Question: a train is 360 meter long is running at a speed of 52 km / hour . in what time will it pass a bridge of 140 meter length .
A.24.62 seconds.
B.34.62 seconds.
C.44.62 seconds.
D.54.62 seconds.
e ) none of theseB.
"explanation : speed = 52 km / hr = 52 * ( 5 / 18 ) m / sec = 130 / 9 m / sec total distance = 360 + 140 = 500 meter time = distance / speed = 500 / 130 / 9 = 34.62 seconds answer : b" | null |
Question: a straight line in the xy - plane has a slope of 2 and a y - intercept of 2 . on this line , what is the x - coordinate of the point whose y - coordinate is 540 ?
A.249.
B.498.
C.676.
D.269.
e ) 1,002D.
"slope of 2 and a y - intercept of 2 y - coordinate is 540 y = 2 x + 2 538 = 2 x x = 269 answer : d . 269" | null |
Question: in what ratio must rice of rs . 16 per kg be mixed with rice of rs . 24 per kg so that cost of mixture is rs . 18 per kg ?
A.4 : 1.
B.2 : 1.
C.3 : 1.
D.4 : 3.
e ) 4 : 5C.
"( 18 - 24 ) / ( 16 - 18 ) = 6 / 2 = 3 : 1 answer : c" | null |
Question: in a class of 25 students in an examination in maths 3 students scored 95 marks each , 3 get zero each and the average of the rest was 45 . what is the average of the whole class ?
A.47.
B.45.6.
C.44.
D.48.
e ) 49B.
"explanation : total marks obtained by a class of 25 students = 3 * 95 + 3 * 0 + 19 * 45 = 1140 average marks of whole class = 1140 / 25 = 45.6 answer : option b" | null |
Question: ravi purchased a refrigerator and a mobile phone for rs . 15000 and rs . 8000 respectively . he sold the refrigerator at a loss of 3 percent and the mobile phone at a profit of 10 percent . overall he make a .
A.228.
B.350.
C.27.
D.200.
e ) 881B.
"let the sp of the refrigerator and the mobile phone be rs . r and rs . m respectively . r = 15000 ( 1 - 3 / 100 ) = 15000 - 450 m = 8000 ( 1 + 10 / 100 ) = 8000 + 800 total sp - total cp = r + m - ( 15000 + 8000 ) = - 450 + 800 = rs . 350 as this is positive , an overall profit of rs . 350 was made . answer : b" | null |
Question: from a total of 5 boys and 3 girls , how many 4 - person committees can be selected if the committee must have exactly 2 boys and 2 girls ?
A.16.
B.24.
C.30.
D.120.
e ) 240C.
"answer = c = 30 no of 4 person committees that can be formed = 5 c 2 * 3 c 2 = 30 answer c" | null |
Question: a man , a woman and a boy can together complete a piece of work in 3 days . if a woman alone can do it in 6 days and a boy alone in 18 days , how long will a man take to complete the work ?
A.5 days.
B.8 days.
C.7 days.
D.9 days.
e ) 8 daysD.
"explanation : ( 1 man + 1 woman + 1 boy ) β s 1 day β s work = 1 / 3 1 wo man β s 1 day work = 1 / 6 1 boy β s 1 day β s work = 1 / 18 man alone can finish the work in 9 days . answer : option d" | null |
Question: a cyclist covers a distance of 750 m in 2 min 30 sec . what is the speed in km / hr of the cyclist ?
A.9 km / hr.
B.7 km / hr.
C.12 km / hr.
D.15 km / hr.
e ) 18 km / hrE.
"speed = { 750 } m / sec = 5 m / sec = { 5 * 18 } km / hr = 18 km / hr ans : e" | null |
Question: a train running at the speed of 70 km / hr crosses a pole in 9 sec . what is the length of the train ?
A.227 m.
B.150 m.
C.167 m.
D.175 m.
e ) 187 mD.
"speed = 70 * 5 / 18 = 175 / 9 m / sec length of the train = speed * time = 175 / 9 * 9 = 175 m answer : d" | null |
Question: on my sister ' s birthday , she was 126 cm in height , having grown 5 % since the year before . how tall was she the previous year ?
A.124 cm.
B.120 cm.
C.116 cm.
D.112 cm.
e ) 110 cmB.
let the previous year ' s height be x . 1.05 x = 126 x = 120 the answer is b . | null |
Question: what is the probability of drawing a ` ` queen ' ' from a deck of 52 cards ?
A.2 / 7.
B.1 / 13.
C.3 / 5.
D.2 / 8.
e ) 1 / 7B.
"explanation : total number of cards , n ( s ) = 52 total number of ` ` queen ' ' cards , n ( e ) = 4 p ( e ) = n ( e ) / n ( s ) = 4 / 52 = 1 / 13 answer : b" | null |
Question: how many multiples of 2 are there between 1 and 58 , exclusive ?
A.21.
B.22.
C.24.
D.26.
e ) 28E.
"28 multiples of 2 between 1 and 58 exclusive . from 2 * 1 upto 2 * 28 , ( 1,2 , 3,4 , . . . , 28 ) . hence , 28 multiples ! correct option is e" | null |
Question: for a certain art exhibit , a museum sold admission tickets to a group of 50 people every 5 minutes from 9 : 00 in the morning to 5 : 55 in the afternoon , inclusive . the price of a regular admission ticket was $ 10 and the price of a student ticket was $ 6 . if on one day 3 times as many regular admission tickets were sold as student tickets , what was the total revenue from ticket sales that day ?
A.$ 24960.
B.$ 25920.
C.$ 28080.
D.$ 38500.
e ) $ 48600E.
"from 9 : 00 in the morning to 5 : 55 in the afternoon , inclusive there are 9 * 12 = 108 five - minute intervals , thus total of 108 * 50 tickets were sold . say x student and 3 x regular tickets were sold , then x + 3 x = 108 * 50 - - > x = 27 * 50 and 3 x = 3 * ( 27 * 50 ) = 27 * 150 . therefore , the total revenue from ticket sales that day was 27 * 50 * 6 + 27 * 150 * 10 = $ 48,600 . answer : e ." | null |
Question: sum of 3 numbers 264 , if the first number be twice then second and third number be one third of the first , then the second number is
A.70.
B.71.
C.72.
D.73.
e ) 74C.
explanation : let the second number is x , then first is 2 x , and third is 1 / 3 ( 2 x ) = > 2 x + x + 2 x / 3 = 264 < = > 11 x / 3 = 264 = > x = 72 answer : option c | null |
Question: if n = ( 33 ) ^ 43 + ( 53 ) ^ 33 what is the units digit of n ?
A.0.
B.2.
C.4.
D.6.
e ) 8C.
"first of all , the units digit of ( 33 ) ^ 53 is the same as that of 3 ^ 53 and the units digit of ( 53 ) ^ 33 is the same as that of 3 ^ 33 . so , we need to find the units digit of 3 ^ 53 + 3 ^ 33 . next , the units digit of 3 in positive integer power repeats in blocks of four { 3 , 9 , 7 , 1 } : 3 ^ 1 = 3 ( the units digit is 3 ) 3 ^ 2 = 9 ( the units digit is 9 ) 3 ^ 3 = 27 ( the units digit is 7 ) 3 ^ 4 = 81 ( the units digit is 1 ) 3 ^ 5 = 243 ( the units digit is 3 again ! ) . . . thus : the units digit of 3 ^ 53 is the same as the units digit of 3 ^ 3 , so 7 ( 53 divided by the cyclicity of 4 gives the remainder of 3 ) . the units digit of 3 ^ 33 is the same as the units digit of 3 ^ 1 , so 3 ( 33 divided by the cyclicity of 4 gives the remainder of 1 ) . therefore the units digit of ( 33 ) ^ 53 + ( 53 ) ^ 33 is 7 + 7 = 4 . answer : c ." | null |
Question: in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 200 questions and secures 240 marks , the number of questions he attempts incorrectly , is :
A.135.
B.200.
C.140.
D.112.
e ) 48D.
"let the number of correct answers be x . number of incorrect answers = ( 200 Γ’ β¬ β x ) . 4 x Γ’ β¬ β ( 200 Γ’ β¬ β x ) = 240 or 5 x = 440 or x = 88 . number of incorrect answers = 200 - 88 = 112 answer : d" | null |
Question: a train moves with a speed of 216 kmph . its speed in metres per second is
A.10.8.
B.18.
C.30.
D.38.8.
e ) 60E.
solution speed = 216 kmph = ( 216 x 5 / 18 ) m / sec = 60 m / sec . answer e | null |
Question: find the least number must be subtracted from 105829 so that remaining no . is divisible by 21 ?
A.7.
B.10.
C.20.
D.32.
e ) 35B.
"on dividing 105829 by 21 we get the remainder 10 , so 10 should be subtracted answer is b" | null |
Question: a and b started a business in partnership investing rs . 20000 and rs . 15000 respectively . after 6 months , c joined them with rs . 20000 . what will be a ' s share in the total profit of rs . 27000 earned at the end of 2 years from the starting of the business ?
A.rs . 7500.
B.rs . 9000.
C.rs . 9500.
D.rs . 10,800.
e ) noneD.
solution a : b : c = ( 20000 Γ 24 ) : ( 15000 Γ 24 ) : ( 20000 Γ 18 ) = 4 : 3 : 3 a ' s share = rs . ( 27000 Γ 4 / 10 ) = rs . 10800 . answer d | null |
Question: the average age of 50 students in a class is 14 years . if the age of teacher is also included , the average becomes 15 years , find the age of the teacher .
A.30.
B.65.
C.60.
D.55.
e ) 56B.
"explanation : if teacher ' s age is 14 years , there is no change in the average . but teacher has contributed 1 year to all the students along with maintaining his age at 15 . age of teacher = average age of all + total increase in age = 15 + ( 1 x 50 ) = 65 years answer : b" | null |
Question: the total cost of a vacation was divided among 3 people . if the total cost of the vacation had been divided equally among 4 people , the cost per person would have been $ 60 less . what was the total cost cost of the vacation ?
A.$ 200.
B.$ 300.
C.$ 400.
D.$ 720.
e ) $ 600D.
"c for cost . p price per person . c = 3 * p c = 4 * p - 240 substituting the value of p from the first equation onto the second we get p = 240 . plugging in the value of p in the first equation , we get c = 720 . which leads us to answer choice d" | null |
Question: twice the larger of two numbers is 3 more than 5 times the smaller , and the sum of 4 times the larger and 3 times the smaller is 71 . what are the numbers ?
A.21.
12.
B.9.
0.
C.15.
6.
D.10.
1.
e ) 14.
5E.
the larger number : x the smaller number : y twice the larger : 2 x three more than five times the smaller : 5 y + 3 relationship between ( ` ` is ' ' ) : 2 x = 5 y + 3 four times the larger : 4 x three times the smaller : 3 y relationship between ( ` ` sum of ' ' ) : 4 x + 3 y = 71 now i have two equations in two variables : 2 x = 5 y + 3 4 x + 3 y = 71 i will solve , say , the first equation for x : x = ( 5 / 2 ) y + ( 3 / 2 ) then i ' ll plug the right - hand side of this into the second equation in place of the ` ` x ' ' : 4 [ ( 5 / 2 ) y + ( 3 / 2 ) ] + 3 y = 71 10 y + 6 + 3 y = 71 13 y + 6 = 71 13 y = 65 y = 65 / 13 = 5 now that i have the value for y , i can solve for x : x = ( 5 / 2 ) y + ( 3 / 2 ) x = ( 5 / 2 ) ( 5 ) + ( 3 / 2 ) x = ( 25 / 2 ) + ( 3 / 2 ) x = 28 / 2 = 14 answer : e | null |
Question: if n is a positive integer and n ^ 2 is divisible by 72 , then the largest positive integer w that must divide n is ?
A.6.
B.12.
C.24.
D.36.
e ) 48B.
"q : if n is a positive integer and n ^ 2 is divisible by 72 , then the largest positive integer w that must divide n is : a 6 , b 12 , c 24 , d 36 , e 48 n ^ 2 is divisible by 72 , but it must also be greater than 72 . if n is an integer , then n ^ 2 must be a perfect square . the factorization of 72 is ( 8 ) ( 9 ) , so if it is multiplied by 2 , it will be ( 2 ) ( 8 ) ( 9 ) = ( 16 ) ( 9 ) = 144 , a perfect square . so n ^ 2 must be at least 144 or a multiple of 144 , which means that n must be 12 or a multiple of 12 . b" | null |
Question: 800 men have provisions for 20 days . if 200 more men join them , for how many days will the provisions last now ?
A.10.
B.8.
C.16.
D.11.
e ) 15C.
"800 * 20 = 1200 * x x = 16 . answer : c" | null |
Question: the list price of an article is rs . 70 . a customer pays rs . 59.22 for it . he was given two successive discounts , one of them being 10 % . the other discount is ?
A.8 %.
B.7 %.
C.10 %.
D.12 %.
e ) 6 %E.
"option e explanation : 70 * ( 90 / 100 ) * ( ( 100 - x ) / 100 ) = 59.22 x = 6 %" | null |
Question: a train crosses a platform of 200 m in 15 sec , same train crosses another platform of length 300 m in 20 sec . then find the length of the train ?
A.100 m.
B.180 m.
C.159 m.
D.250 m.
e ) 152 mA.
"length of the train be β x β x + 200 / 15 = x + 300 / 20 4 x + 800 = 3 x + 900 x = 100 m answer : a" | null |
Question: one man can do a piece of work in 10 days . one boys join him & he complete the work in 6 days . if he gets 50 rs for his work then what will be the share of the boy .
A.10.
B.20.
C.30.
D.40.
e ) 50B.
1 day work of man = 1 / 10 , if boy ' s 1 day work = 1 / x , then ( 1 / 10 ) + ( 1 / x ) = 1 / 6 , x = 15 ratio of work of man & boy = 1 / 10 : 1 / 15 = 3 : 2 so out of 50 rs . boy ' s share = 2 * 50 / ( 3 + 2 ) = 20 answer : b | null |
Question: evaluate : 10111 - 10 * 2 * 5 = ?
A.10101.
B.10110.
C.11100.
D.11001.
e ) 11011A.
according to order of operations , 10 ? 2 ? 5 ( division and multiplication ) is done first from left to right 10 / 2 = 5 * 2 = 10 hence 10111 - 10 * 2 * 5 = 10111 - 10 = 10101 correct answer a | null |
Question: seed mixture x is 40 percent ryegrass and 60 percent bluegrass by weight ; seed mixture y is 25 percent ryegrass and 75 percent fescue . if a mixture of x and y contains 35 percent ryegrass , what percent of the weight of this mixture is x ?
A.10 %.
B.33.33 %.
C.40 %.
D.50 %.
e ) 66.66 %E.
"- - - - - - - - - - - - - - - - > ryegrass x - - - - - - - - - - - - - - > 40 % y - - - - - - - - - - - - - - > 25 % m ( mixture ) - - - - > 35 % 0.4 x + ( m - x ) 0.25 = 0.35 m 0.15 x = 0.10 m x = 0.6666 m x = 66.66 % of m e" | null |
Question: a rectangular garden is to be twice as long as it is wide . if 150 yards of fencing , including the gate , will completely enclose the garden , what will be the length of the garden , in yards ?
['A.40', 'B.50', 'C.60', 'D.70', 'e ) 80']B.
alternate approach backsolving ( using answer options to reach the correct answer ) can work wonders here if one is fast in calculations . given perimeter is 150 so , 2 ( l + b ) = 150 or , l + b = 75 now use the answer options ( given length ; breath will be half the length ) ( a ) 40 l = 40 ; b = 20 l + b = 60 ( b ) 50 l = 50 ; b = 25 l + b = 75 ( c ) 60 l = 60 ; b = 30 l + b = 90 ( d ) 70 l = 70 ; b = 35 l + b = 105 ( e ) 80 l = 80 ; b = 40 l + b = 120 thus you see no , need of any calculations , u can reach the correct option only by checking options ; correct answer will be ( b ) | null |
Question: a jar of 364 marbles is divided equally among a group of marble - players today . if 2 people joined the group in the future , each person would receive 1 marble less . how many people are there in the group today ?
A.20.
B.22.
C.24.
D.26.
e ) 28D.
"364 = 26 * 14 = 28 * 13 there are 26 people in the group today . the answer is d ." | null |
Question: 80 370 860 ? 2440 3530
A.900.
B.840.
C.750.
D.860.
e ) 1550E.
"10 ^ 2 - 20 = 80 20 ^ 2 - 30 = 370 30 ^ 2 - 40 = 860 40 ^ 2 - 50 = 1550 50 ^ 2 - 60 = 2440 60 ^ 2 - 70 = 3530 . answer : e" | null |
Question: marginal cost is the cost of increasing the quantity produced ( or purchased ) by one unit . if the fixed cost for n products is $ 15,000 and the marginal cost is $ 200 , and the total cost is $ 25,000 , what is the value of n ?
A.30.
B.50.
C.60.
D.80.
e ) 100B.
"total cost for n products = fixed cost for n products + n * marginal cost - - > $ 25,000 = $ 15,000 + n * $ 200 - - > n = 50 . answer : b ." | null |
Question: peter invested a certain sum of money in a simple interest bond whose value grew to $ 300 at the end of 3 years and to $ 400 at the end of another 5 years . what was the rate of interest in which he invested his sum ?
A.12 %.
B.12.5 %.
C.6.67 %.
D.6.25 %.
e ) 8.33 %E.
"now after a time of 3 years the principal p amounts to $ 300 and after a time of 8 years ( question says after another 5 years so 3 + 5 ) p becomes $ 400 . formulating the above data amount ( a 1 ) at end of 3 years a 1 = p ( 1 + 3 r / 100 ) = 300 amount ( a 2 ) at end of 8 years a 2 = p ( 1 + 8 r / 100 ) = 400 dividing a 2 by a 1 we get ( 1 + 8 r / 100 ) / ( 1 + 3 r / 100 ) = 4 / 3 after cross multiplication we are left with 12 r = 100 which gives r = 8.33 % answer : e" | null |
Question: at what rate percent on simple interest will rs . 750 amount to rs . 900 in 5 years ?
A.6.
B.5.
C.4.
D.78.
e ) 2C.
"150 = ( 750 * 5 * r ) / 100 r = 4 % . answer : c" | null |
Question: the diameter of the driving wheel of a bus in 140 cm . how many revolutions per minute must the wheel make in order to keep a speed of 24 kmph ?
A.21.21.
B.22.26.
C.90.9.
D.24.86.
e ) 25.25C.
"distance covered in 1 min = ( 24 * 1000 ) / 60 = 400 m circumference of the wheel = ( 2 * ( 22 / 7 ) * . 70 ) = 4.4 m no of revolution per min = 400 / 4.4 = 90.90 answer : c" | null |
Question: a person borrows rs . 5000 for 2 years at 4 % p . a . simple interest . he immediately lends it to another person at 6 p . a for 2 years . find his gain in the transaction per year .
A.100 rs.
B.150 rs.
C.160 rs.
D.180 rs.
e ) 200 rsA.
"gain in 2 years = [ ( 5000 * 6 * 2 ) / 100 ] - [ ( 5000 * 4 * 2 ) / 100 ] 600 - 400 = 200 gain in 1 year = ( 200 / 2 ) = 100 rs answer : a" | null |
Question: how many liters of water must be added to 18 liters of milk and water containing 10 % water to make it 70 % water ?
A.28.
B.32.
C.36.
D.40.
e ) 44C.
"by rule of alligation : 70 % - 10 % = 60 % 100 % - 70 % = 30 % quantity of pure water : quantity of the mixture = 6 : 3 there are 18 liters of mixture , so we need to add 36 liters of pure water . the answer is c ." | null |
Question: if 1 / 5 th of a number decreased by 5 is 5 , then the number is
A.25.
B.50.
C.60.
D.75.
e ) noneB.
explanation : let the number be a , then a / 5 β 5 = 5 β a / 5 = 10 β a = 50 correct option : b | 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 240 envelopes
A.6 minutes.
B.5 minutes.
C.7 minutes.
D.3 minutes.
e ) 4 minutesE.
"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 envlpes a min . so both of them when work together can stuff 36 + 24 = 60 envelopes in 1 min . for 240 envelopes they will take 240 / 60 mins . i . e . , 4 mins . answer : e" | null |
Question: if ( x + 3 ) ^ 2 / ( 2 x + 15 ) = 3 , then the difference between the two possible values of x is :
A.8.
B.10.
C.12.
D.14.
e ) 16C.
( x + 3 ) ^ 2 / ( 2 x + 15 ) = 3 ( x + 3 ) ^ 2 = 3 ( 2 x + 15 ) x ^ 2 + 6 x + 9 = 6 x + 45 x ^ 2 - 36 = 0 ( x - 6 ) ( x + 6 ) = 0 x = 6 or x = - 6 the answer is c . | null |
Question: a feed store sells two varieties of birdseed : brand a , which is 40 % millet and 60 % sunflower , and brand b , which is 65 % millet and 35 % safflower . if a customer purchases a mix of the two types of birdseed that is 50 % millet , what percent of the mix is brand b ?
A.40 %.
B.45 %.
C.50 %.
D.60 %.
e ) 55 %A.
"yes there is a simple method : consider the following method brand a : 40 % millet and 60 % sunflower brand b : 65 % millet and 35 % safflower mix : 50 % millet here the weighted average is 50 % , now brand a has 40 % millet , which is 10 % less than the weighted average of mix = - 0.10 a - - - - - - - - - - - - - - - i similarly , brand b has 65 % millet , which is 15 % more than the weighted average of mix = + 0.15 b - - - - - - - - - - - - ii now , both brand a and brand b are combined to give a 50 % mix containing millet , so equate i and ii implies , 0.10 a = 0.15 b therefore a / b = 0.15 / 0.10 = 3 / 2 a : b : ( a + b ) = 3 : 2 : ( 3 + 2 ) = 3 : 2 : 5 we have to find , percent of the mix is brand b i . e . b : ( a + b ) = 2 : 5 = ( 2 / 5 ) * 100 = 40 % here is a pictorial representation : brand a = 40 % - - - - - - - - - - - - - - - - - - - - - - - - 10 % or 0.10 below average , a times - - - - - - - - - - - - - - - - - total below = - 0.10 a - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - average = 50 % or 0.50 brand b = 65 % - - - - - - - - - - - - - - - - - - - - - - - - - - 15 % or 0.15 above average , b times - - - - - - - - - - - - - - - - - total above = + 0.15 b since the amount below the average has to equal the average above the average ; therefore , 0.10 a = 0.15 b a / b = 3 / 2 a : b : total = 3 : 2 : 5 therefore b / total = 2 : 5 = 40 % answer : a" | null |
Question: what is the measure of the angle y made by the diagonals of the any adjacent sides of a cube .
A.30.
B.45.
C.60.
D.75.
e ) 90C.
"c . . 60 degrees all the diagonals are equal . if we take 3 touching sides and connect their diagonals , we form an equilateral triangle . therefore , each angle would be 60 . c" | null |
Question: a placed 3 sheets with two carbons to get two extra copies of the original . then he decided to get more carbon copies and folded the paper in such a way that the upper half of the sheets were on top of the lower half . then he typed . how many carbon copies did he get ?
A.1.
B.2.
C.3.
D.4.
e ) 5B.
explanation : since the number of carbons is 2 , only two copies can be obtained . answer : b | null |
Question: the sum of four consecutive even numbers is 84 . what would be the largest number ?
A.33.
B.88.
C.24.
D.123.
e ) 12C.
"let the four consecutive even numbers be 2 ( x - 2 ) , 2 ( x - 1 ) , 2 x , 2 ( x + 1 ) their sum = 8 x - 4 = 84 = > x = 11 smallest number is : 2 ( x + 1 ) = 24 . answer : c" | null |
Question: the average age of applicants for a new job is 30 , with a standard deviation of 8 . the hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age . assuming that all applicants ' ages are integers and that the endpoints of the range are included , what is the maximum number of different ages of the applicants ?
A.8.
B.16.
C.17.
D.18.
e ) 34C.
"minimum age = average - 1 standard deviation = 30 - 8 = 22 maximum age = average + 1 standard deviation = 30 + 8 = 38 maximum number of different ages of the applicants = 38 - 22 + 1 = 17 answer c" | null |
Question: hcf and lcm two numbers are 16 and 396 respectively . if one of the numbers is 36 , then the other number is ?
A.36.
B.66.
C.132.
D.176.
e ) 364D.
"16 * 396 = 36 * x x = 176 answer : d" | null |
Question: a 10000 liter tank , half - full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes . at the same time , the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes . how many minutes does it take to fill the tank completely ?
A.8.
B.12.
C.18.
D.24.
e ) 60E.
"in : we have : 1,000 / 2 min = 500 litres per minute out : we have : 1,000 / 4 + 1,000 / 6 then do : in - out to figure out the net inflow per minute ( you get 83.3 ) . then divide the total number of litres you need ( 5,000 by that net inflow to get the minutes ) - 60 min . answer e ." | null |
Question: mr . evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children . if mr . evans has 3 children and 6 grandchildren , then approximately what percentage of mr . evans estate will each grandchild receive ?
A.16.25 %.
B.8.25 %.
C.4.25 %.
D.6.25 %.
e ) 7.25 %D.
"25 / 4 = 6.25 answer : d" | null |
Question: in a village of 2,700 people , 900 people are over 70 years old and 1200 people are female . it is known that 60 percent of the females are younger than 70 years old . if no one in the village is 70 years old , what is the probability that a person chosen at random is either a male or younger than 70 years old ?
A.4 / 5.
B.5 / 7.
C.13 / 15.
D.37 / 45.
e ) 79 / 90D.
"the number of people younger than 70 years old is 2700 - 900 = 1800 the number of females older than 70 years old is 0.4 * 1200 = 480 the number of males older than 70 years old is 900 - 480 = 420 the number of people who are either male or younger than 70 is 1800 + 420 = 2220 . p ( a person is younger than 70 or male ) = 2220 / 2700 = 37 / 45 the answer is d ." | null |
Question: . 04 Γ ? = . 000016 .
A.0.0004.
B.0.04.
C.4.
D.0.4.
e ) none of theseA.
"solution let . 04 Γ x = . 000016 . then , x = . 000016 / . 04 = . 0016 / 4 = . 0004 . answer a" | null |
Question: the cost of 8 dozen pencil and 2 dozen note book is 520 rupee . if cost of 3 pencil and 4 note book is 60 rupee , then sum of the cost of 1 pencil and 1 note book will be ( in rupee )
A.rs 13.51.
B.rs 15.51.
C.rs 16.51.
D.rs 14.51.
e ) rs 17.51B.
let cost of pencil = rs x cost of notebook = rs y cost of 8 dozen pencils are 96 x cost of 2 dozen pencils are 24 y cost of 3 pencils are 3 x cost of 4 notebooks are 4 y equations are 96 x + 24 y = 520 - - - - - 1 3 x + 4 y = 60 - - - - - 2 multiplying 6 with equation ( 2 ) and then subtracting eqn ( 1 ) - eqn ( 2 ) , we get 96 x + 24 y = 520 18 x + 24 y = 360 after solving the equations , we get x = 2.05 y = 13.46 cost of 1 pencil and 1 notebook is 2.05 + 13.46 = rs 15.51 answer : b | null |
Question: 8 years ago , p was half of q ' s age . if the ratio of their present ages is 3 : 4 what will be the total of their present ages ?
A.33.
B.67.
C.28.
D.31.
e ) 35C.
let present age of p and q be 3 x 3 x and 4 x 4 x respectively . eight years ago , p was half of q ' s age Γ’ β‘ β ( 3 x Γ’ Λ β 8 ) = 1 / 2 ( 4 x Γ’ Λ β 8 ) Γ’ β‘ β 6 x Γ’ Λ β 16 = 4 x Γ’ Λ β 8 Γ’ β‘ β 2 x = 8 Γ’ β‘ β x = 4 total of their present ages = 3 x + 4 x = 7 x = 7 Γ£ β 4 = 28 c | null |
Question: selling an kite for rs . 30 , a shop keeper gains 15 % . during a clearance sale , the shopkeeper allows a discount of 10 % on the marked price . his gain percent during the sale is ?
A.3.5 %.
B.10 %.
C.11 %.
D.15 %.
e ) 20 %A.
"explanation : marked price = rs . 30 c . p . = 100 / 115 * 30 = rs . 26.08 sale price = 90 % of rs . 30 = rs . 27 required gain % = 0.92 / 26.08 * 100 = 3.5 % . answer : a" | null |
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