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Question: a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 27 , the how old is b
A.10.
B.8.
C.6.
D.5.
e ) 7A.
"let c ' s age be x years . then , b ' s age = 2 x years . a ' s age = ( 2 x + 2 ) years . ( 2 x + 2 ) + 2 x + x = 27 5 x = 25 x = 5 . hence , b ' s age = 2 x = 10 years answer : a" | null |
Question: what is the sum of the multiples of 4 between 13 and 125 inclusive ?
A.1,890.
B.1,960.
C.2,200.
D.3,780.
e ) 4,400B.
"the first multiple of 12 between 13 and 125 is 16 while the last is 124 total number of terms is given by 124 = 16 + ( n - 1 ) 4 4 n - 4 = 108 n = 112 / 4 = 28 or , ( 124 - 16 ) / 4 + 1 = 28 so , we have 28 multiples of 12 between 13 and 125 sum = 14 ( 2 * 16 + ( 27 ) 4 ) = 14 ( 140 ) = 1960 answer : b" | null |
Question: the volume of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool . if the surface level of the water is rising at the rate of 0.5 meters per minute , what is the rate s , in cubic meters per minutes , at which the water is flowing into the swimming pool ?
A.0.125.
B.0.25.
C.0.5.
D.0.75.
e ) not enough information to determine the rateE.
"the correct answer is e . there are not enough info to answer the question . a 840 cubic meters rectangle is built from : height * length * width . from the question we know the volume of the pool and the filling rate . a pool can have a height of 10 * width 8.4 * length 10 and have a volume of 840 cubic meters , and it can have a height of 1 meter , width of 100 meters and length of 8.4 . in both cases the pool will fill up in a different rate = e" | null |
Question: four horses are tethered at 4 corners of a square field of side 70 metres so that they just can not reach one another . the area left ungrazed by the horses is :
['A.1050 sq . m', 'B.3850 sq . m', 'C.950 sq . m', 'D.1075 sq . m', 'e ) 1065 sq . m']A.
area ungrazed is given by total area - 4 * area grazed by each horse = 70 * 70 - 4 * ( 90 / 360 ) * pi * ( 70 / 2 ) ^ 2 as the angle made by the horse is 90 degree , so applying the area of the sector , = theta / 360 * pi * radius ^ 2 above = 70 * 70 - pi * ( 70 / 2 ) * ( 70 / 2 ) = 70 * 70 { 1 - pi / 4 } = 70 * 70 { 6 / ( 7 * 4 ) } , expanding pi = 22 / 7 = ( 70 * 70 * 6 ) / ( 7 * 4 ) = 1050 sq m answer : a | null |
Question: a dealer purchases 15 articles for rs . 25 and sells 12 articles for rs . 38 . find the profit percentage ?
A.80 %.
B.90 %.
C.59 %.
D.40 %.
e ) 53 %B.
l . c . m of 15 and 12 = 60 cp of 60 articles = rs . 100 ( 25 * 4 ) sp of 60 articles = rs . 190 ( 30 * 5 ) profit percentage = ( 190 - 100 ) / 100 * 100 = 90 % answer : b | null |
Question: redo โ s manufacturing costs for sets of horseshoes include a $ 10000 initial outlay , and $ 20 per set . they can sell the sets $ 50 . if profit is revenue from sales minus manufacturing costs , and the company producessells 500 sets of horseshoes , what was their profit ?
A.$ 4500.
B.$ 3500.
C.$ 5500.
D.$ 5000.
e ) $ 6300D.
total manufacturing cost = 10000 + 500 * 20 = 20000 total selling cost = 500 * 50 = 25000 profit = 25000 - 20000 = 5000 answer : d | null |
Question: from below option 50 is divisible by which one ?
A.3.
B.2.
C.7.
D.8.
e ) 9B.
"50 / 2 = 25 b" | null |
Question: in n is a positive integer less than 200 , and 24 n / 60 is an integer , then n has how many different positive prime factors ?
A.1.
B.3.
C.5.
D.6.
e ) 8A.
"( a ) . 24 n / 60 must be an integer . = > 2 n / 5 must be an integer . hence n must be a multiple of 5 . = > n has 1 different prime integers ." | null |
Question: on rainy mornings , mo drinks exactly n cups of hot chocolate ( assume that n is an integer ) . on mornings that are not rainy , mo drinks exactly 4 cups of tea . last week mo drank a total of 42 cups of tea and hot chocolate together . if during that week mo drank 14 more tea cups than hot chocolate cups , then how many rainy days were there last week ?
A.0.
B.4.
C.5.
D.6.
e ) 7A.
"t = the number of cups of tea c = the number of cups of hot chocolate t + c = 42 t - c = 14 - > t = 28 . c = 14 . mo drinks 4 cups of tea a day then number of days that are not rainy = 28 / 4 = 7 so number of rainy days = 7 - 7 = 0 a is the answer ." | null |
Question: 469157 * 9999
A.1691100843.
B.4591100843.
C.4691100843.
D.3691100843.
e ) none of theseC.
"explanation : 469157 * ( 10000 - 1 ) = 4691570000 - 469157 = 4691100843 option c" | null |
Question: what is the largest 4 digit number exactly divisible by 72 ?
A.4676.
B.4678.
C.8888.
D.9504.
e ) 9936E.
"largest 4 digit number = 9999 9999 รท 72 = 138 , remainder = 63 hence largest 4 digit number exactly divisible by 88 = 9999 - 63 = 9936 answer : e" | null |
Question: apple costs l rupees per kilogram for first 30 kgs and q rupees per kilogram for each additional kilogram . if the price of 33 kilograms is 360 and for 36 kgs of apples is 420 then the cost of first 25 kgs of apples is
A.100.
B.250.
C.125.
D.110.
e ) 115B.
"ans : by framing equations we get 30 l + 3 q = 360 30 l + 6 q = 420 eliminate q by multiplying the first equation by 2 and subtracting second equation from the first then we get l = 10 cost of 10 kgs of apples = 25 x 10 = 250 answer : b" | null |
Question: if x = 3 ^ 27 and x ^ x = 3 ^ k , what is k ?
A.3 ^ 9.
B.3 ^ 12.
C.3 ^ 27.
D.3 ^ 30.
e ) 3 ^ 33D.
"solution : we know that x = 3 ^ 27 which implies x ^ x = ( 3 ^ 27 ) ^ ( 3 ^ 27 ) = 3 ^ ( 27 * 3 ^ 27 ) [ because ( x ^ y ) ^ z = x ^ ( y * z ) ) ] so 3 ^ ( 3 ^ 3 * 3 ^ 27 ) = 3 ^ ( 3 ^ ( 3 + 27 ) ) [ because x ^ a * x ^ b = x ^ ( a + b ) ] therefore x ^ x = 3 ^ ( 3 ^ 30 ) given that x ^ x = 3 ^ k so 3 ^ ( 3 ^ 30 ) = 3 ^ k since the base is same the exponent will also be same therefore k = 3 ^ 30 answer : d" | null |
Question: find the least number which when divided by 5,6 , 7,8 leaves a remainder 3 but when divided by 9 leaves no remainder
A.9632.
B.7896.
C.8741.
D.1683.
e ) 8523D.
"l . c . m of 5,6 , 7,8 = 840 required number is of the form of 840 k + 3 least value of k for which ( 840 k + 3 ) is divided by 9 is k = 2 required number = ( 840 * 2 + 3 ) = 1683 answer ( d )" | null |
Question: the ratio of the radius of two circles is 3 : 4 , and then the ratio of their areas is ?
A.1 : 7.
B.9 : 16.
C.1 : 9.
D.3 : 7.
e ) 3 : 4B.
"r 1 : r 2 = 3 : 4 รฎ r 1 ^ 2 : รฎ r 2 ^ 2 r 1 ^ 2 : r 2 ^ 2 = 9 : 16 answer : b" | null |
Question: evaluate : 30 - | - x + 6 | for x = 10
A.16.
B.26.
C.36.
D.46.
e ) 56B.
substitute x by 10 in the given expression and evaluate 30 - | - ( 10 ) + 6 | = 30 - | - 10 + 6 | = 30 - | - 4 | = 30 - 4 = 26 correct answer b ) 26 | null |
Question: in a partnership , a invests 1 โ 6 of the capital for 1 โ 6 of the time , b invests 1 โ 3 of the capital for 1 โ 3 of the time and c , the rest of the capital for whole time . find a โ s share of the total profit of 2300
A.100.
B.200.
C.300.
D.400.
e ) none of theseA.
remaining capital = 1 - ( 1 โ 6 + 1 โ 3 ) = 1 โ 2 ratio of their profit = 1 โ 6 ร [ 1 โ 6 ร 12 ] : 1 โ 3 ร [ 1 โ 3 ร 12 ] : 1 โ 2 ร 12 = 1 โ 3 : 4 โ 3 : 6 = 1 : 4 : 18 โด a ' s share = 1 / 1 + 4 + 18 ร 2300 = 100 answer a | null |
Question: a shopkeeper has 280 kg of apples . he sells 40 % of these at 20 % profit and remaining 50 % at 30 % profit . find his % profit on total .
A.23 %.
B.25 %.
C.26 %.
D.28 %.
e ) 35 %A.
"if the total quantity was 100 then 40 x 20 % + 50 x 30 % = 23 this profit will remain same for any total quantity unless the % of products remains the same . hence ' a ' is the answer" | null |
Question: car x began traveling at an average speed of 35 miles per hour . after 48 minutes , car y began traveling at an average speed of 39 miles per hour . when both cars had traveled the same distance , both cars stopped . how many miles did car x travel from the time car y began traveling until both cars stopped ?
A.105.
B.140.
C.175.
D.210.
e ) 245E.
"in 48 minutes , car x travels 28 miles . car y gains 4 miles each hour , so it takes 7 hours to catch car x . in 7 hours , car x travels 245 miles . the answer is e ." | null |
Question: how many 4 - digit positive integers are there in which all 4 digits are even ?
A.625.
B.600.
C.500.
D.400.
e ) 256C.
"positive integers - 2 , 4,6 , 8,0 let the integers of a four digit positive number be abcd a can take four values ( 2,4 , 6,8 ) b can take five values ( 0 , 2,4 , 6,8 ) c can take five values ( 0 , 2,4 , 6,8 ) d can take five values ( 0 , 2,4 , 6,8 ) the total is 5 * 5 * 5 * 4 the answer according to me is 500 answer : c" | null |
Question: benny goes to the market for buying some apples to be distributed between her 9 kids equally . she takes 360 dollars with her . the cost of each apple is 4 dollars . how many apples does she buy to share them equally between her eighteen kids ?
A.8.
B.9.
C.5.
D.7.
e ) 10C.
cost of each apple = 4 dollars apples that benny can buy with the amount she has = 360 / 4 = 90 . apples that each kid gets evenly = 90 / 18 = 5 apples . so the answer is c = 5 | null |
Question: it takes nine minutes to load a certain video on a cellphone , and fifteen seconds to load that same video on a laptop . if the two devices were connected so that they operated in concert at their respective rates , how many seconds would it take them to load the video , rounded to the nearest hundredth ?
A.13.58.
B.13.87.
C.14.24.
D.14.59.
e ) 14.85D.
the laptop can load the video at a rate of 1 / 15 of the video per second . the phone can load the video at a rate of 1 / ( 60 * 9 ) = 1 / 540 of the video per second . the combined rate is 1 / 15 + 1 / 540 = 37 / 540 of the video per second . the time required to load the video is 540 / 37 = 14.59 seconds . the answer is d . | null |
Question: a sum of money invested at compound interest to rs . 800 in 3 years and to rs 820 in 4 years . the rate on interest per annum is .
A.0.4 %.
B.5.0 %.
C.2.5 %.
D.7 %.
e ) 8 %C.
explanation : s . i . on rs 800 for 1 year = 20 rate = ( 100 * 20 ) / ( 800 * 1 ) = 2.5 % answer : c | null |
Question: if two positive numbers are in the ratio 1 / 9 : 1 / 7 , then by what percent is the second number more than the first ?
A.67 % ..
B.70 % ..
C.60 % ..
D.28.6 % ..
e ) 80 % .D.
"given ratio = 1 / 9 : 1 / 7 = 7 : 9 let first number be 7 x and the second number be 9 x . the second number is more than first number by 2 x . required percentage = 2 x / 7 x * 100 = 28.6 % . answer : d" | null |
Question: find compound interest on rs . 7500 at 4 % per annum for 2 years , compounded annually
A.rs 312.
B.rs 412.
C.rs 512.
D.rs 612.
e ) none of theseD.
explanation : please apply the formula amount = p ( 1 + r 100 ) nc . i . = amount - p answer : d | null |
Question: the front wheels of a wagon are 2 ฯ feet in circumference and the rear wheels are 3 ฯ feet in circumference . when the front wheels have made 10 more revolutions than the rear wheels , how many feet has the wagon travelled ?
A.30 ฯ.
B.45 ฯ.
C.60 ฯ.
D.90 ฯ.
e ) noneC.
solution let the rear wheel make x revolutions . then , the front wheel makes ( x + 10 ) revolutions . ( x + 10 ) x 3 ฯ = x ร 2 ฯ โน = โบ 3 x + 30 = 2 x โน = โบ x = 30 . distance travelled by the wagon = ( 2 ฯ x 30 ) ft โน = โบ ( 60 ฯ ) ft . answer c | null |
Question: lcm of two numbers is 7700 and hcf is 11 . if one number is 308 then other number is
A.269.
B.285.
C.300.
D.275.
e ) none of theseD.
option d | null |
Question: a car is running at a speed of 80 kmph . what distance will it cover in 20 sec ?
A.100 m.
B.440 m.
C.180 m.
D.200 m.
e ) 250 mB.
speed = 80 kmph = 80 * 5 / 18 = 22 m / s distance covered in 20 sec = 22 * 10 = 440 m answer is b | null |
Question: a , b , c subscribe rs . 50,000 for a business . a subscribes rs . 4000 more than b and b rs . 5000 more than c . out of a total profit of rs . 35,000 , a receives
A.rs . 8400.
B.rs . 11,900.
C.rs . 13,600.
D.rs . 14,700.
e ) noneD.
"solution : let c = x . then , b = x + 5000 and a = x + 5000 + 4000 = x + 9000 . so , x + x + 5000 + x + 9000 = 50000 . = > 3 x = 36000 . = > x = 12000 . a : b : c = 21000 : 17000 : 12000 = 21 : 17 : 12 . so a ' s share = rs . ( 35000 x 21 / 50 ) = rs . 14,700 . answer : option d" | null |
Question: the radius of a cylindrical vessel is 7 cm and height is 2 cm . find the whole surface of the cylinder ?
A.281.
B.396.
C.440.
D.767.
e ) 1981B.
"r = 7 h = 2 2 ฯ r ( h + r ) = 2 * 22 / 7 * 7 ( 9 ) = 396 answer : b" | null |
Question: a charitable association sold an average of 66 raffle tickets per member . among the female members , the average was 70 raffle tickets . the male to female ratio of the association is 1 : 2 . what was the average number r of tickets sold by the male members of the association
A.50.
B.56.
C.58.
D.62.
e ) 66C.
"given that , total average r sold is 66 , male / female = 1 / 2 and female average is 70 . average of male members isx . ( 70 * f + x * m ) / ( m + f ) = 66 - > solving this equation after substituting 2 m = f , x = 58 . ans c ." | null |
Question: a train 880 m long is running at a speed of 78 km / hr . if it crosses a tunnel in 1 min , then the length of the tunnel is ?
A.510.
B.540.
C.500.
D.420.
e ) 589D.
"speed = 78 * 5 / 18 = 65 / 3 m / sec . time = 1 min = 60 sec . let the length of the train be x meters . then , ( 880 + x ) / 60 = 65 / 3 x = 420 m . answer : option d" | null |
Question: if x is less than y by 50 % then y exceed x by :
A.33.33 %.
B.100 %.
C.75 %.
D.66.66 %.
e ) none of theseB.
"using formula ( x / ( 100 - x ) * 100 ) where x is percentage decrease ( here it is 25 % ) = > 50 ( 100 - 50 ) * 100 = 100 % answer : b" | null |
Question: arun purchased 30 kg of wheat at the rate of rs . 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg . he mixed the two and sold the mixture . approximately what price per kg should be sell the mixture to make 30 % profit ?
A.66.3.
B.76.3.
C.86.3.
D.16.3.
e ) 36.3D.
"explanation : c . p . of 50 kg wheat = ( 30 * 11.50 + 20 * 14.25 ) = rs . 630 . s . p . of 50 kg wheat = 130 % of rs . 630 = 130 / 100 * 630 = rs . 819 . s . p . per kg = 819 / 50 = rs . 16.38 = 16.30 . answer : d" | null |
Question: what was the principal , if at 5 % per annum the interest after 10 years amounted to rs . 3100 less than the sum lent ?
A.6200.
B.3000.
C.3000.
D.2000.
e ) 1000A.
"p - 2336 = ( p * 10 * 5 ) / 100 p = 6200 answer : a" | null |
Question: the list price of an article is rs . 68 . a customer pays rs . 56.16 for it . he was given two successive discounts , one of them being 10 % . the other discount is ?
A.3.23 %.
B.4.23 %.
C.5.23 %.
D.7.23 %.
e ) 8.23 %E.
"68 * ( 90 / 100 ) * ( ( 100 - x ) / 100 ) = 56.16 x = 8.23 % answer : e" | null |
Question: the cost of the paint is rs . 36.50 per kg . if 1 kg of paint covers 16 square feet , how much will it cost to paint outside of a cube having 8 feet each side .
A.rs . 850.
B.rs . 860.
C.rs . 876.
D.rs . 886.
e ) none of theseC.
"explanation : we will first calculate the surface area of cube , then we will calculate the quantity of paint required to get answer . here we go , surface area = 6 a 2 = 6 โ 8 ( 2 ) = 384 sq feet quantity required = 38416 = 24 kg cost of painting = 36.50 โ 24 = rs . 876 option c" | null |
Question: two consultants can type up a report in 12.5 hours and edit it in 7.5 hours . if mary needs 30 hours to type the report and jim needs 12 hours to edit it alone , how many w hours will it take if jim types the report and mary edits it immediately after he is done ?
A.41.4.
B.34.1.
C.13.4.
D.12.4.
e ) 10.8A.
"break down the problem into two pieces : typing and editing . mary needs 30 hours to type the report - - > mary ' s typing rate = 1 / 30 ( rate reciprocal of time ) ( point 1 in theory below ) ; mary and jim can type up a report in 12.5 and - - > 1 / 30 + 1 / x = 1 / 12.5 = 2 / 25 ( where x is the time needed for jim to type the report alone ) ( point 23 in theory below ) - - > x = 150 / 7 ; jim needs 12 hours to edit the report - - > jim ' s editing rate = 1 / 12 ; mary and jim can edit a report in 7.5 and - - > 1 / y + 1 / 12 = 1 / 7.5 = 2 / 15 ( where y is the time needed for mary to edit the report alone ) - - > y = 20 ; how many w hours will it take if jim types the report and mary edits it immediately after he is done - - > x + y = 150 / 7 + 20 = ~ 41.4 answer : a ." | null |
Question: a scuba diver descends at a rate of 35 feet per minute . a diver dive from a ship to search for a lost ship at the depth of 3500 feet below the sea level . . how long will he take to reach the ship ?
A.160 minutes.
B.120 minutes.
C.100 minutes.
D.76 minutes.
e ) 77 minutesC.
"time taken to reach = 3500 / 35 = 100 minutes answer : c" | null |
Question: a snail , climbing a 42 feet high wall , climbs up 4 feet on the first day but slides down 2 feet on the second . it climbs 4 feet on the third day and slides down again 2 feet on the fourth day . if this pattern continues , how many days will it take the snail to reach the top of the wall ?
A.20.
B.26.
C.32.
D.39.
e ) 51D.
"total transaction in two days = 4 - 2 = 2 feet in 38 days it will climb 38 feet on the 39 th day , the snail will climb 4 feet , thus reaching the top therefore , total no of days required = 39 d" | null |
Question: at what rate percent on simple interest will rs . 900 amount to rs . 950 in 5 years ?
A.1.11 %.
B.5.93 %.
C.4.33 %.
D.5.33 %.
e ) 6.33 %A.
"50 = ( 900 * 5 * r ) / 100 r = 1.11 % answer : a" | null |
Question: if the price of sugar rises from rs . 10 per kg to rs . 12 per kg , a person , to have no increase in the expenditure on sugar , will have to reduce his consumption of sugar by
A.17 %.
B.20 %.
C.25 %.
D.30 %.
e ) noneA.
"sol . let the original consumption = 100 kg and new consumption = x kg . so , 100 x 10 = x ร 12 = x = 83 kg . โด reduction in consumption = 17 % . answer a" | null |
Question: initially , the men and women in a room were in the ratio of 4 : 5 . then , 2 men entered the room and 3 women left the room . then , the number of women doubled . now there are 14 men in the room . how many e women are currently in the room ?
A.12.
B.14.
C.15.
D.24.
e ) 36D.
"the number of women doubled means that they have become 24 from 12 . . and we have to tell the current strength so 24 is the answer . . let the number be 4 x and 5 x . . given 4 x + 2 = 14 . . so x = 3 . . women number = 5 * 3 - 3 = 12 , then doubled = 24 . . ans d" | null |
Question: find the compound ratio of ( 2 : 3 ) , ( 3 : 4 ) and ( 1 : 4 ) is
A.1 : 2.
B.2 : 3.
C.1 : 8.
D.4 : 5.
e ) 3 : 2C.
"required ratio = 2 / 3 * 3 / 4 * 1 / 4 = 1 / 8 = 1 : 8 answer is c" | null |
Question: in a neighborhood having 90 households , 11 did not have either a car or a bike . if 16 households had a both a car and a bike and 44 had a car , how many had bike only ?
A.30.
B.35.
C.20.
D.18.
e ) 10B.
"{ total } = { car } + { bike } - { both } + { neither } - - > 90 = 44 + { bike } - 16 + 11 - - > { bike } = 51 - - > # those who have bike only is { bike } - { both } = 51 - 16 = 35 . answer : b ." | null |
Question: a bag marked at $ 150 is sold for $ 120 . the rate of discount is ?
A.10 %.
B.25 %.
C.20 %.
D.50 %.
e ) 45 %C.
"rate of discount = 30 / 150 * 100 = 20 % answer is c" | null |
Question: a man swims downstream 70 km and upstream 30 km taking 10 hours each time ; what is the speed of the current ?
A.1.
B.4.
C.2.
D.6.
e ) 8C.
"70 - - - 10 ds = 7 ? - - - - 1 30 - - - - 10 us = 3 ? - - - - 1 s = ? s = ( 7 - 3 ) / 2 = 2 answer : c" | null |
Question: a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 8 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ?
A.42.
B.70.
C.140.
D.196.
e ) 315D.
"ans : 196 7 c 1 * 8 c 2 answer d )" | null |
Question: a certain store sells all maps at one price and all books at another price . on monday the store sold 12 maps and 10 books for a total of $ 38.00 , and on tuesday the store sold 12 maps and 9 books for a total of $ 30.00 . at this store , how much less does a map sell for than a book ?
A.$ 0.25.
B.$ 0.50.
C.$ 0.75.
D.$ 1.00.
e ) $ 4.5E.
"12 x + 10 y = 38 12 x + 9 y = 30 subtracting 1 from 2 y = 8 therefore x = 3.5 difference in price = 4.5 e" | null |
Question: if an object travels at three feet per second , how many feet does it travel in one hour ?
A.3488.
B.10800.
C.12788.
D.1800.
e ) 2881B.
explanation : if an object travels at 2 feet per second it covers 3 x 60 feet in one minute , and 3 x 60 x 60 feet in one hour . answer = 10800 answer : b ) 10800 | null |
Question: the length of a rectangle is twice its breadth . if its length is decreased by 5 cm and breadth is increased by 5 cm , the area of the rectangle is increased by 55 sq . cm . find the length of the rectangle .
A.16 cm.
B.18 cm.
C.15 cm.
D.20 cm.
e ) 23 cmA.
"explanation : let breadth = x . then , length = 2 x . then , ( 2 x - 5 ) ( x + 5 ) - 2 x * x = 55 = > 5 x - 25 = 55 = > x = 16 . length of the rectangle = 16 cm . answer : option a" | null |
Question: a cylindrical container with 6 meters diameter and a height of 8 meters is filled to capacity with water . if the water is then used to fill several smaller cylinders ( 2 meters radius and 5 meters height ) , how many smaller cylinders can be filled to capacity before the larger cylinder becomes empty ?
['A.5', 'B.4', 'C.3', 'D.2', 'e ) 1']C.
calculate the volume of the larger cylinder and divide it by the volume of the smaller cylinder . volume of cylinder = ฯ r 2 h larger cylinder volume = 226.19 smaller cylinder volume = 62.83 therefore the number of smaller cylinders can be filled to capacity = 226.19 / 62.83 = 3.6 answer is c only 3 smaller cylinders can be filled to capacity . | null |
Question: four circular cardboard pieces , each of radius 7 cm are placed in such a way that each piece touches two other pieces . the area of the space encosed by the four pieces is. four circular cardboard pieces , each of radius 7 cm are placed in such a way that each piece touches two other pieces . the area of the space encosed by the four pieces is
['A.12', 'B.32', 'C.42', 'D.52', 'e ) 58']C.
required area = 14 * 14 - ( 4 * 1 / 4 * 22 / 7 * 7 * 7 ) sq cm = 196 - 154 = 42 sq cm . answer : c | null |
Question: the roof of an apartment building is rectangular and its length is 5 times longer than its width . if the area of the roof is 720 feet squared , what is the difference between the length and the width of the roof ?
A.38 ..
B.40 ..
C.42 ..
D.44 ..
e ) 48 .E.
"answer is e : 48 let w be the width , so length is 5 w . therefore : w * 5 w = 720 , solving for , w = 12 , so 5 w - w = 4 w = 4 * 12 = 48" | null |
Question: jaclyn buys $ 10 000 worth of debentures in a company . she earns 9.5 % p . a . simple interest , paid to her quarterly ( that is , every 3 months ) . if the agreed period of the debenture was 18 months : calculate the amount of interest jaclyn will earn for each quarter
A.237.5.
B.234.
C.289.5.
D.345.
e ) none of theseA.
explanation : i = ( p x r x t ) / 100 = 10000 * 9.5 / 100 * ( 18 / 12 ) ^ 1 / 6 = 237.5 answer : a | null |
Question: two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 40 kmph respectively . in what time will they cross each other completely ?
A.15 sec.
B.19 sec.
C.12 sec.
D.10 sec.
e ) 11 secA.
"explanation : d = 250 m + 250 m = 500 m rs = 80 + 40 = 120 * 5 / 18 = 100 / 3 t = 500 * 3 / 100 = 15 sec answer : option a" | null |
Question: at garage sale , all of the prices of the items sold were different . if the price of a radio sold at the garage sale was both the 15 th highest price and the 25 th lowest price among the prices of the items sold , how many items were sold at the garage sale ?
A.33.
B.34.
C.35.
D.39.
e ) 37D.
"14 + 24 + 1 = 39 answer : d" | null |
Question: in a division sum , the quotient is 20 , the divisor 66 and the remainder 55 , find the dividend ?
A.1375.
B.1376.
C.1875.
D.1365.
e ) 1345A.
"explanation : 20 * 66 + 55 = 1375 answer : a" | null |
Question: a and b are two partially filled buckets of water . if 6 liters are transferred from a to b , then a would contain one - third of the amount of water in b . alternatively , if 6 liters are transferred from b to a , b would contain one - half of the amount of water in a . bucket a contains how many liters of water ?
A.66 / 5.
B.13.
C.17.
D.21.
e ) 23A.
let bucket a be a and bucket b be b scenario 1 a - 6 = 1 / 3 ( b + 6 ) - - - - > 3 a - 18 = b + 6 scenario 2 b - 6 = 1 / 2 ( a + 6 ) - - - - - > 2 b - 12 = a + 6 from scenario 1 , b = 3 a - 24 substitute b with this information in stmt 2 2 ( 3 a - 24 ) - 12 = a + 6 - - - - - - > 6 a - 48 - 12 = a + 6 - - - - - - > 6 a - a = 60 + 6 - - - > 5 a = 66 a = 66 / 5 , answer choice a | null |
Question: what is the total cost of 2 sandwiches at $ 2.49 each and 4 sodas at $ 1.87 each ?
A.$ 3.36.
B.$ 6.85.
C.$ 8.46.
D.$ 10.08.
e ) $ 12.46E.
"answer = e 2 * 2.49 + 4 * 1.87 = 2 ( 2.50 - 0.01 ) + 4 ( 2.00 - 0.13 ) = 5 + 8 - 0.02 - 0.52 = 13 - 0.54 = 12.46" | null |
Question: the sum of ages of 4 children born 1 years different each is 38 years . what is the age of the elder child ?
A.8.
B.11.
C.10.
D.16.
e ) 17B.
"let the ages of children be x , ( x + 1 ) , ( x + 2 ) , ( x + 3 ) years . then , x + ( x + 1 ) + ( x + 2 ) + ( x + 3 ) = 38 4 x = 32 x = 8 . x + 3 = 8 + 3 = 11 answer : b" | null |
Question: what is the positive integer that can be added by 595 to make it a perfect square ?
['A.2 * 3 * 6', 'B.3 * 2 * 5', 'C.5 * 3 * 3', 'D.2 * 3', 'e ) 3 * 5 * 4']B.
596 is added to a number that gives a perfect square nearest perfect square is 625 . so , 625 - 596 = 30 30 = 2 * 3 * 5 option b is answer | null |
Question: after a storm deposits 110 billion gallons of water into the city reservoir , the reservoir is 60 % full . if the original contents of the reservoir totaled 220 billion gallons , the reservoir was approximately what percentage full before the storm ?
A.40 %.
B.48 %.
C.54 %.
D.58 %.
e ) 65 %A.
when the storm deposited 110 billion gallons , volume of water in the reservoir = 220 + 110 = 360 billion gallons if this is only 60 % of the capacity of the reservoir , the total capacity of the reservoir = 330 / 0.6 = 550 billion gallons therefore percentage of reservoir that was full before the storm = ( 220 / 550 ) * 100 = 40 % option a | null |
Question: ( 6 ) 6.5 ร ( 36 ) 4.5 รท ( 216 ) 4.5 = ( 6 ) ?
A.1.
B.2.
C.4.
D.6.
e ) 8B.
"explanation : ( 6 ) 6.5 ร ( 36 ) 4.5 รท ( 216 ) 4.5 = ( 6 ) 6.5 ร [ ( 6 ) 2 ] 4.5 รท [ ( 6 ) 3 ] 4.5 = ( 6 ) 6.5 ร ( 6 ) 9 รท ( 6 ) 13.5 = ( 6 ) ( 6.5 + 9 - 13.5 ) = ( 6 ) 2 answer : option b" | null |
Question: a rectangular grass field is 75 m * 55 m , it has a path of 3.2 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ?
A.s . 1350.
B.s . 1327.
C.s . 1328.
D.s . 1364.
e ) s . 1927D.
"area = ( l + b + 2 d ) 2 d = ( 75 + 55 + 3.2 * 2 ) 2 * 2.5 = > 682 682 * 2 = rs . 1364 answer : d" | null |
Question: a fill pipe can fill 1 / 2 of cistern in 20 minutes . in how many minutes , it can fill 1 / 2 of the cistern ?
A.5 min.
B.10 min.
C.15 min.
D.20 min.
e ) 25 minD.
required time = 20 * 2 * 1 / 2 = 20 minutes answer is d | null |
Question: what is the average of 120 , 130 , 140 , 510 , 520 , 530 , 1115 , 1120 , and 1125 ?
A.419.
B.551.
C.601.
D.590.
e ) 721D.
"add 120 , 130 , 140 , 510 , 520 , 530 , 1115 , 1120 , and 1125 grouping numbers together may quicken the addition sum = 5310 5310 / 9 = 590 . d" | null |
Question: a bus travels from town a to town b . if the bus ' s speed is 50 km / hr , it will arrive in town b 42 min later than scheduled . if the bus increases its speed by 509509 m / sec , it will arrive in town b 30 min earlier than scheduled . find : a ) the distance between the two towns ; b ) the bus ' s scheduled time of arrival in b ; c ) the speed of the bus when it ' s on schedule .
A.60.
B.37.
C.26.
D.28.
e ) 11A.
first we will determine the speed of the bus following its increase . the speed is increased by 509509 m / sec = 50 โ
60 โ
6091000 = 50 โ
60 โ
6091000 km / hr = 20 = 20 km / hr . therefore , the new speed is v = 50 + 20 = 70 v = 50 + 20 = 70 km / hr . if xx is the number of hours according to the schedule , then at the speed of 50 km / hr the bus travels from a to b within ( x + 4260 ) ( x + 4260 ) hr . when the speed of the bus is v = 70 v = 70 km / hr , the travel time is x โ 3060 x โ 3060 hr . then 50 ( x + 4260 ) = 70 ( x โ 3060 ) 50 ( x + 4260 ) = 70 ( x โ 3060 ) 5 ( x + 710 ) = 7 ( x โ 12 ) 5 ( x + 710 ) = 7 ( x โ 12 ) 72 + 72 = 7 x โ 5 x 72 + 72 = 7 x โ 5 x 2 x = 72 x = 7 x = 72 x = 72 hr . so , the bus is scheduled to make the trip in 33 hr 3030 min . the distance between the two towns is 70 ( 72 โ 12 ) = 70 โ
3 = 21070 ( 72 โ 12 ) = 70 โ
3 = 210 km and the scheduled speed is 210 / 7 / 2 = 60 km / hr . answer : a | null |
Question: how many numbers from 10 to 100000 are exactly divisible by 9 ?
A.900.
B.11110.
C.1100.
D.1200.
e ) 1400B.
"10 / 9 = 1 and 100000 / 9 = 11111 = = > 11111 - 1 = 11110 . answer : b" | null |
Question: if 10 litres of an oil of rs . 40 per litres be mixed with 5 litres of another oil of rs . 66 per litre then what is the rate of mixed oil per litre ?
A.rs . 48.66.
B.rs . 51.03.
C.rs . 54.17.
D.rs . 55.33.
e ) none of the aboveA.
"40 * 10 = 400 66 * 5 = 330 730 / 15 = 48.66 answer : a" | null |
Question: tom wants to buy items costing $ 25.35 , $ 70.69 , and $ 85.96 . he earns $ 6.50 an hour doing odd jobs . if ten percent of his income is put aside for other purposes , how many hours must he work to earn the money he needs for his purchases ? round your answer to the nearest whole hour .
A.8 hours.
B.48 hours.
C.31 hours.
D.18 hours.
e ) 28 hoursC.
$ 6.50 x . 10 = $ . 65 is 10 % of his hourly income $ 6.50 - . 65 = $ 5.85 hourly amount available to spend $ 25.35 + $ 70.69 + $ 85.96 = $ 182 total needed $ 182 รท $ 5.85 = 31.11 . . . rounds to 31 hours correct answer c | null |
Question: a 600 meter long train crosses a signal post in 40 seconds . how long will it take to cross a 1.8 kilometer long bridge , at the same speed ?
A.4 min.
B.2 min.
C.8 min.
D.9 min.
e ) 3 minB.
s = 600 / 40 = 15 mps s = 1800 / 15 = 120 sec = 2 min . answer : b | null |
Question: a small college reduced its faculty by approximately 13 percent to 195 professors . what was the original number of faculty members ?
A.182.
B.208.
C.224.
D.254.
e ) 302C.
"f x is the original number of faculty members , then after 13 % reduction in faculty members number is . 87 x but we are given . 87 x = 195 x = 224 so the original number of faculty members is 224 correct answer - c" | null |
Question: the probability that a man will be alive for 10 more yrs is 3 / 4 & the probability that his wife will alive for 10 more yrs is 1 / 5 . the probability that none of them will be alive for 10 more yrs , is
A.1 / 2.
B.1.
C.2 / 3.
D.1 / 5.
e ) 2D.
"sol . required probability = pg . ) x p ( b ) = ( 1 โ d x ( 1 โ i ) = : x 1 = 1 / 5 ans . ( d )" | null |
Question: a reduction of 20 % in the price of salt enables a lady to obtain 10 kgs more for rs . 100 , find the original price per kg ?
A.2.9.
B.2.2.
C.2.5.
D.2.1.
e ) 2.3C.
"100 * ( 20 / 100 ) = 20 - - - 10 ? - - - 1 = > rs . 2 100 - - - 80 ? - - - 2 = > rs . 2.5 answer : c" | null |
Question: a company that ships boxes to a total of 12 distribution centers uses color coding to identify each center . if either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors , what is the minimum number of colors needed for the coding ? ( assume that the order of the colors in a pair does not matter . )
A.4.
B.5.
C.6.
D.12.
e ) 24B.
"let ' s start with 4 minimum number of colors so single color code we can make 4 nos . now if we need to make 2 color combination out of 4 we can do so in 4 ! / 2 ! * 2 ! or 4 * 3 / 2 or 6 so total we can make 4 + 6 = 10 color combinations but we have 12 boxes so let ' s look at 5 we get 5 single color codes and out 5 color choices , we can choose 2 in 5 ! / 2 ! * 3 ! ways or 10 ways . so total we can have 5 + 10 = 15 color combinations . so , minimum number we need will be 5 ans is b . . . . . . ." | null |
Question: the present worth of a sum due sometime hence is rs . 576 and the banker โ s gain is rs . 16 . the true discount is
A.rs . 36.
B.rs . 72.
C.rs . 48.
D.rs . 96.
e ) noneD.
solution t . d = โ p . w xb . g = โ 576 x 16 = 96 . answer d | null |
Question: two trains are moving in the same direction at 90 kmph and 36 kmph . the faster train crosses a man in the slower train in 29 seconds . find the length of the faster train ?
A.425.
B.435.
C.445.
D.455.
e ) 465B.
"relative speed = ( 90 - 36 ) * 5 / 18 = 3 * 5 = 15 mps . distance covered in 29 sec = 29 * 15 = 435 m . the length of the faster train = 435 m . answer : b" | null |
Question: the ratio between the length and the breadth of a rectangular park is 3 : 2 . if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 5 minutes , then the area of the park ( in sq . m ) is :
A.153601.
B.153600.
C.153602.
D.60000.
e ) 153604D.
"perimeter = distance covered in 5 min . = ( 12000 / 60 ) x 5 m = 1000 m . let length = 3 x metres and breadth = 2 x metres . then , 2 ( 3 x + 2 x ) = 1000 or x = 100 . length = 300 m and breadth = 200 m . area = ( 300 x 200 ) m 2 = 60000 m 2 . answer : d" | null |
Question: the value of a machine depreciates at the rate of 10 % every year . it was purchased 3 years ago . if its present value is rs . 8748 , its purchase price was :
A.12003.
B.12000.
C.12002.
D.12289.
e ) 12019B.
"explanation : = rs . 12000 answer : b ) 12000" | null |
Question: solve for x the equation log 9 ( x 3 ) = log 2 ( 8 )
A.9.
B.8.
C.7.
D.6.
e ) 5A.
log 9 ( x 3 ) = log 2 ( 8 ) : given log 2 ( 23 ) = 3 : simplify right hand side of given equation . log 9 ( x 3 ) = 3 : rewrite the above equation log 9 ( x 3 ) = log 9 ( 93 ) : rewite 3 as a log base 9 . x 3 = 93 : obtain algebraic equation from eqaution d . x = 9 : solve above for x correct answer a | null |
Question: there are 6 more women than there are men on a local co - ed softball team . if there are a total of 16 players on the team , what is the ratio of men to women ?
A.10 / 16.
B.6 / 16.
C.4 / 16.
D.5 / 11.
e ) 4 / 10D.
"w = m + 6 w + m = 16 m + 6 + m = 16 2 m = 10 m = 5 w = 11 ratio : 5 : 11 ans : d" | null |
Question: salad dressing p is made up of 30 % vinegar and 70 % oil , and salad dressing q contains 10 % vinegar and 90 % oil . if the two dressings are combined to produce a salad dressing that is 25 % vinegar , dressing p comprises what percentage of the new dressing ?
A.75 %.
B.60 %.
C.40 %.
D.25 %.
e ) 20 %A.
"let x be the percentage of dressing p in the new dressing . 0.3 x + 0.1 ( 1 - x ) = 0.25 0.2 x = 0.15 x = 0.75 = 75 % the answer is a ." | null |
Question: water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of oxygen are there in 135 grams of water ?
A.120.
B.116.
C.112.
D.108.
e ) 104A.
"( 16 / 18 ) * 144 = 120 grams the answer is a ." | null |
Question: a boat can travel with a speed of 16 km / hr in still water . if the rate of stream is 5 km / hr , then find the time taken by the boat to cover distance of 63 km downstream .
A.3 hours.
B.5 hours.
C.6 hours.
D.7 hours.
e ) 8 hoursA.
"explanation : it is very important to check , if the boat speed given is in still water or with water or against water . because if we neglect it we will not reach on right answer . i just mentioned here because mostly mistakes in this chapter are of this kind only . lets see the question now . speed downstream = ( 16 + 5 ) = 21 kmph time = distance / speed = 63 / 21 = 3 hours option a" | null |
Question: john and jacob set out together on bicycle traveling at 15 and 12 miles per hour , respectively . after 40 minutes , john stops to fix a flat tire . if it takes john two hour to fix the flat tire and jacob continues to ride during this time , how many hours will it take john to catch up to jacob assuming he resumes his ride at 15 miles per hour ? ( consider john ' s deceleration / acceleration before / after the flat to be negligible )
A.7.
B.7 1 / 3.
C.7 1 / 2.
D.4.
e ) 7 1 / 2B.
"john ' s speed - 15 miles / hr jacob ' s speed - 12 miles / hr after 40 min ( i . e 2 / 3 hr ) , distance covered by john = 15 x 2 / 3 = 10 miles . jacob continues to ride for a total of 2 hour and 40 min ( until john ' s bike is repaired ) . distance covered in 2 hour 40 min ( i . e 8 / 3 hr ) = 12 x 8 / 3 = 32 miles . now , when john starts riding back , the distance between them is 22 miles . jacob and john are moving in the same direction . for john to catch jacob , the effective relative speed will be 15 - 12 = 3 miles / hr . thus , to cover 22 miles at 3 miles / hr , john will take 22 / 3 = 7 1 / 3 hours answer b" | null |
Question: a 1200 m long train crosses a tree in 120 sec , how much time will i take to pass a platform 600 m long ?
A.266 sec.
B.180 sec.
C.776 sec.
D.166 sec.
e ) 997 secB.
"l = s * t s = 1200 / 120 s = 10 m / sec . total length ( d ) = 1800 m t = d / s t = 1800 / 10 t = 180 sec answer : b" | null |
Question: two mba admissions committees are to be formed randomly from 6 second year mbas with 3 members each . what is the probability v that jane will be on the same committee as albert ?
A.12 %.
B.20 %.
C.33 %.
D.40 %.
e ) 50 %D.
"total number of ways to choose 3 member committee - 6 c 3 = ( 6 ! / 3 ! 3 ! ) = 20 no . of ways albert n jane are in same committee : - ( 4 c 1 * 2 ) = 8 probability v = ( 8 / 20 ) * 100 = 40 % . + 1 for me . . : d" | null |
Question: a rectangular plot 15 m ร 10 m , has a path of grass outside it . if the area of grassy pathway is 54 m 2 , find the width of the path .
['A.4 m', 'B.3 m', 'C.2 m', 'D.1 m', 'e ) none of these']C.
let the width of the path = w m then , length of plot with path = ( 15 + 2 w ) m and breadth of plot with path = ( 10 + 2 w ) m therefore , area of rectangular plot ( without path ) = 15 ร 10 = 150 m 2 and area of rectangular plot ( with path ) = 150 + 54 = 204 m 2 hence , ( 15 + 2 w ) ร ( 10 + 2 w ) = 204 โ 4 w 2 + 50 w โ 54 = 0 โ 2 w 2 + 25 w โ 27 = 0 โ ( w โ 2 ) ( w + 27 ) = 0 thus w = 2 or โ 27 โด with of the path = 2 m answer c | null |
Question: if a car had traveled 40 kmh faster than it actually did , the trip would have lasted 30 minutes less . if the car went exactly 120 km , at what speed did it travel ?
A.50 kmh.
B.60 kmh.
C.70 kmh.
D.80 kmh.
e ) 90 kmhD.
"time = distance / speed difference in time = 1 / 2 hrs 120 / x - 120 / ( x + 40 ) = 1 / 2 substitute the value of x from the options . - - > x = 80 - - > 120 / 80 - 120 / 120 = 3 / 2 - 1 = 1 / 2 answer : d" | null |
Question: a grocer has a sale of rs . 3435 , rs . 3927 , rs . 3855 , rs . 4230 and rs . 3562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 3500 ?
A.s . 1991.
B.s . 2991.
C.s . 3991.
D.s . 4991.
e ) s . 5991A.
"explanation : total sale for 5 months = rs . ( 3435 + 3927 + 3855 + 4230 + 3562 ) = rs . 19009 . required sale = rs . [ ( 3500 x 6 ) รข โฌ โ 19009 ] = rs . ( 21000 รข โฌ โ 19009 ) = rs . 1991 . answer a" | null |
Question: what is the probability of getting a number less than 4 when a die is rolled ?
A.5 / 5.
B.1 / 2.
C.5 / 1.
D.5 / 7.
e ) 5 / 2B.
"total number of outcomes possible when a die is rolled = 6 ( โต any one face out of the 6 faces ) i . e . , n ( s ) = 6 e = getting a number less than 4 = { 1 , 2 , 3 } hence , n ( e ) = 3 the probability = 3 / 6 = 1 / 2 . answer : b" | null |
Question: a 270 m long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 second . what is the length of the other train ?
A.150 m.
B.230 m.
C.290 m.
D.310 m.
e ) 420 mB.
relative speed = 120 + 80 = 200 * 5 / 18 = 500 / 9 m / s let the length of the other train be x meters x + 270 / 9 = 500 / 9 x = 230 m answer is b | null |
Question: two trains of equal length , running with the speeds of 60 and 40 kmph , take 40 seconds to cross each other while they are running in the same direction . what time will they take to cross each other if they are running in opposite directions ?
A.10 sec.
B.16 sec.
C.13 sec.
D.67 sec.
e ) 8 secE.
"rs = 60 - 40 = 20 * 5 / 18 = 100 / 18 t = 40 d = 40 * 100 / 18 = 2000 / 9 rs = 60 + 40 = 100 * 5 / 18 t = 2000 / 9 * 18 / 500 = 8 sec answer : e" | null |
Question: a dog takes 2 leaps for every 3 leaps of a hare . if one leap of the dog is equal to 3 leaps of the hare , the ratio of the speed of the dog to that of the hare is :
A.1 : 5.
B.2 : 5.
C.3 : 5.
D.4 : 5.
e ) 6 : 5E.
"explanation : dog : hare = ( 2 * 3 ) leaps of hare : 3 leaps of hare = 6 : 5 . answer : e ) 6 : 5" | null |
Question: in a group of pigs and hens , the number of legs are 22 more than twice the number of heads . the number of pigs is
A.5.
B.7.
C.10.
D.12.
e ) 11E.
explanation : let the number of pigs be x and the number of hens be y . then , 4 x + 2 y = 2 ( x + y ) + 22 4 x + 2 y = 2 x + 2 y + 22 2 x = 22 x = 11 answer : e | null |
Question: x + y = 19 , and x + 3 y = 1 . find the value of x + 2 y
A.20.
B.18.
C.11.
D.10.
e ) 5D.
add these two equations 2 x + 4 y = 20 divide by 2 ( to get x + 2 y ) answer will be d . 10 | null |
Question: in the fifth grade at parkway elementary school there are 470 students . 300 students are boys and 250 students are playing soccer . 86 % of the students that play soccer are boys . how many girl student are in parkway that is not playing soccer ?
A.69 ..
B.135 ..
C.81 ..
D.91 ..
e ) 108 .B.
"total students = 470 boys = 300 , girls = 170 total playing soccer = 250 86 % of 250 = 215 are boys who play soccer . girls who play soccer = 35 . total girls who do not play soccer = 170 - 35 = 135 . correct option : b" | null |
Question: how long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 390 m in length ?
A.18.9 sec.
B.88.9 sec.
C.22.9 sec.
D.30.00 sec.
e ) 72.0 secD.
"d = 110 + 390 = 500 m s = 60 * 5 / 18 = 50 / 3 t = 500 * 3 / 50 = 30 sec answer : d" | null |
Question: a can finish a work in 24 days , b in 9 days and c in 12 days . b and c start the work but are forced to leave after 3 days . when a done the work ?
A.10 days.
B.12 days.
C.13 days.
D.9 days.
e ) 14 daysA.
"b + c = = > 1 / 9 + 1 / 12 = 7 / 36 b , c = in 3 days = 7 / 36 * 3 = 7 / 12 remaining work = 1 - 7 / 12 = 5 / 12 1 / 24 work is done by a in 1 day 5 / 12 work is done a 24 * 5 / 12 = 10 days answer a" | null |
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