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Question: a room 5 m 55 cm long and 3 m 74 cm broad is to be paved with square tiles . find the least number of square tiles required to cover the floor ?
A.122.
B.123.
C.828.
D.122.
e ) 176E.
"area of the room = ( 544 * 374 ) size of largest square tile = h . c . f of 544 & 374 = 34 cm area of 1 tile = ( 34 x 34 ) number of tiles required = = [ ( 544 x 374 ) / ( 34 x 34 ) ] = 176 answer : e" | null |
Question: a train passes a platform in 32 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.180 meter.
B.240 meter.
C.200 meter.
D.260 meter.
e ) none of theseA.
"explanation : speed of the train = 54 km / hr = ( 54 Γ 10 ) / 32 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 = 32 = > 300 + l = 15 Γ 32 = 480 = > l = 480 - 300 = 180 meter answer : option a" | null |
Question: the cost price of an book is 64 % of the marked price . calculate the gain percent after allowing a discount of 12 % ?
A.33 %.
B.28.02 %.
C.37.5 %.
D.30.5 %.
e ) 22 %C.
c 37.5 % let marked price = $ 100 . then , c . p . = $ 64 , s . p . = $ 88 gain % = 24 / 64 * 100 = 37.5 % . | null |
Question: how much water must be added to 64 litres of milk at 1 1 β 2 litres for 20 so as to have a mixture worth 10 2 β 3 a litre ?
A.16 litres.
B.12 litres.
C.15 litres.
D.18 litres.
e ) none of theseA.
"c . p . of 1 litre of milk = ( 20 Γ 2 β 3 ) = 40 β 3 β΄ ratio of water and milk = 8 β 3 : 32 β 3 = 8 : 32 = 1 : 4 β΄ quantity of water to be added to 64 litres of milk = ( 1 β 4 Γ 64 ) litres = 16 litres . answer a" | null |
Question: the ratio between the length and the breadth of a rectangular park is 3 : 2 . if a man cycling along theoundary of the park at the speed of 12 km / hr completes one round in 8 min , then thearea of the park ( in sq . m ) is ?
A.124545 m.
B.134561 m.
C.156787 m.
D.15450 m.
e ) 153600 mE.
"perimeter = distance covered in 8 min . = 12000 x 8 m = 1600 m . 60 let length = 3 x metres and breadth = 2 x metres . then , 2 ( 3 x + 2 x ) = 1600 or x = 160 . length = 480 m and breadth = 320 m . area = ( 480 x 320 ) m 2 = 153600 m e" | null |
Question: 3 numbers are in the ratio 3 : 5 : 7 . the largest number value is 70 . find difference between smallest & largest number is ?
A.40.
B.45.
C.35.
D.30.
e ) 50A.
= = 3 : 5 : 7 total parts = 15 = the largest number value is 70 = the largest number is = 7 = then 7 parts - - - - - > 70 ( 7 * 10 = 70 ) = smallest number = 3 & largest number = 7 = difference between smallest number & largest number is = 7 - 3 = 4 = then 4 parts - - - - - > 40 ( 4 * 10 = 40 ) a | null |
Question: in a 80 meters race a beats b by 56 m or 7 seconds . a ' s time over the course is :
A.3 seconds.
B.12 seconds.
C.10 seconds.
D.18 seconds.
e ) 28 secondsA.
"b runs 56 m in 7 sec . = > b runs 80 m in 7 / 56 * 80 = 10 seconds since a beats b by 7 seconds , a runs 80 m in ( 10 - 7 ) = 3 seconds hence , a ' s time over the course = 3 seconds answer : a" | null |
Question: there are 5 people who can build 5 houses in just 5 days . increase the amount of people to 100 . how long would it take these 100 people to build 100 houses ?
A.2 days.
B.3 days.
C.4 days.
D.5 days.
e ) 1 daysD.
it will take 5 days for 100 people to build 100 houses . 1 person can build 1 house in 5 days . so , 100 people can build 100 houses in 5 days . answer d | null |
Question: the smallest number which when diminished by 2 , is divisible by 12 , 16 , 18 , 21 and 28 is
A.1008.
B.1010.
C.1022.
D.1032.
e ) 1043B.
required number = ( l . c . m of 12 , 16 , 18 , 21,28 ) + 2 = 1008 + 2 = 1010 answer : b | null |
Question: 45 workers work 8 hours to dig a hole 30 meters deep . how many extra workers should be hired to dig another hole 55 meters deep by working for 6 hours ?
A.50.
B.55.
C.60.
D.65.
e ) 70D.
"45 workers * 8 hours / 30 meters = x * 6 / 55 x = 110 total workers 110 - 45 = 65 new workers the answer is d ." | null |
Question: the length of the bridge , which a train 150 metres long and travelling at 54 km / hr can cross in 30 seconds , is ?
A.340 m ..
B.350 m ..
C.320 m ..
D.330 m ..
e ) 360 m .C.
"speed = [ 54 x 5 / 18 ] m / sec = [ 15 ] m / sec time = 30 sec let the length of bridge be x metres . then , ( 130 + x ) / 30 = 15 = > ( 130 + x ) / 30 = 320 = > x = 320 m . answer : c" | null |
Question: a train 700 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.288 m.
B.256 m.
C.600 m.
D.278 m.
e ) 287 mC.
"speed = 78 * 5 / 18 = 65 / 3 m / sec . time = 1 min = 60 sec . let the length of the train be x meters . then , ( 700 + x ) / 60 = 65 / 3 x = 600 m . answer : c" | null |
Question: in a new housing development , trees are to be planted along the sidewalk of a certain street . each tree takes up one square foot of sidewalk space , and there are to be 12 feet between each tree . how many trees can be planted if the road is 157 feet long ?
A.8.
B.9.
C.10.
D.11.
e ) 13E.
"let t be the number of trees . then the length required for trees on the sidewalk will be 1 * t = t to maximize the number of trees , the number of 12 feet spaces between trees should be 1 less than total number of trees . for example , if there are 3 trees , then there should be 2 spaces between them . so the number of 12 feet spaces will be t - 1 . then , the length of sidewalk required for 12 feet spaces will be 12 * ( t - 1 ) it is given that total lenght of sidewalk is 157 feet . or 12 ( t - 1 ) + t = 157 or 12 t - 12 + t = 157 or 13 t = 169 or t = 13 answer : - e" | null |
Question: how many integers from 0 to 56 , inclusive , have a remainder of 1 when divided by 3 ?
A.15.
B.16.
C.17.
D.18.
e ) 19E.
"my ans is also c . 17 . explanation : 1 also gives 1 remainder when divided by 3 , another number is 4 , then 7 and so on . hence we have an arithmetic progression : 1 , 4 , 7 , 10 , . . . . . 55 , which are in the form 3 n + 1 . now we have to find out number of terms . tn = a + ( n - 1 ) d , where tn is the nth term of an ap , a is the first term and d is the common difference . so , 55 = 1 + ( n - 1 ) 3 or , ( n - 1 ) 3 = 54 or , n - 1 = 18 or , n = 19 e" | null |
Question: a train 360 m long runs with a speed of 45 km / hr . what time will it take to pass a platform of 150 m long ?
A.38 sec.
B.35 sec.
C.44 sec.
D.40.8 sec.
e ) none of theseD.
"speed = 45 km / hr = 45 Γ£ β ( 5 / 18 ) m / s = 150 / 12 = 50 / 4 = 25 / 2 m / s total distance = length of the train + length of the platform = 360 + 150 = 510 meter time taken to cross the platform = 510 / ( 25 / 2 ) = 510 Γ£ β 2 / 25 = 40.8 seconds answer : d" | null |
Question: the mean proportional between 4 and 16 is ?
A.12.
B.13.
C.14.
D.15.
e ) 16E.
"root of ( 4 * 16 ) = 2 * 4 = 16 answer : e" | null |
Question: two brother x and y appeared for an exam . the probability of selection of x is 1 / 3 and that of b is 2 / 7 . find the probability that both of them are selected .
A.2 / 69.
B.2 / 21.
C.2 / 23.
D.2 / 29.
e ) 2 / 10B.
explanation : let a be the event that x is selected and b is the event that y is selected . p ( a ) = 1 / 3 , p ( b ) = 2 / 7 . let c be the event that both are selected . p ( c ) = p ( a ) Γ£ β p ( b ) as a and b are independent events : = ( 1 / 3 ) Γ£ β ( 2 / 7 ) = 2 / 21 answer : b ) 2 / 21 | null |
Question: if a speaks the truth 60 % of the times , b speaks the truth 50 % of the times . what is the probability that at least one will tell the truth
A.0.8.
B.0.9.
C.1.0.
D.1.2.
e ) 1.3A.
"probability of a speaks truth p ( a ) = 6 / 10 ; false = 4 / 10 probability of b speaks truth p ( b ) = 5 / 10 ; false = 5 / 10 . for given qtn ans = 1 - ( neither of them tell truth ) . because a & b are independent events = 1 - [ ( 4 / 10 ) * ( 5 / 10 ) ] = 4 / 5 = 0.8 answer : a" | null |
Question: meena wrote all the numbers from 1 to 29,999 inclusive . how many digits did she write in total ?
A.118,889.
B.138,889.
C.159,889.
D.188,789.
e ) 188,989B.
"1 - 9 = > 1 * 9 digits 10 - 99 = > 2 * 90 = 180 ( numbers between 10 - 99 is 90 where each has 2 digits ) 100 - 999 = > 3 * 900 = 2700 1000 - 9999 = > 4 * 9000 = 36,000 10000 - 29999 = > 5 * 20,000 = 100,000 the answer is 138,889 the answer is b ." | null |
Question: a box contains 22 electric bulbs , out of which 4 are defective . two bulbs are chosen at random from this box . the probability that at least one of these is defective is
A.4 / 19.
B.7 / 19.
C.12 / 19.
D.21 / 99.
e ) 26 / 77E.
"solution p ( none is defective ) = 18 c 2 / 22 c 2 = 51 / 77 p ( at least one is defective ) = ( 1 - 51 / 77 ) = 26 / 77 . answer e" | null |
Question: the events a and b are independent , the probability that event a occurs is greater than 0 , and the probability that event a occurs is twice the probability that event b occurs . the probability that at least one of events a and b occurs is 8 times the probability that both events a and b occur . what is the probability that event a occurs ?
A.1 / 12.
B.1 / 8.
C.1 / 6.
D.1 / 3.
e ) 2 / 3D.
"let us say probability of a occurring is a . let us say probability of b occurring is b . a = 2 b probability ( either a or b or both ) = 8 times probability ( a and b ) a * ( 1 - b ) + b * ( 1 - a ) + ab = 8 * ab substituting a = 2 b in the second equation : 2 b * ( 1 - b ) + b * ( 1 - 2 b ) + 2 b * b = 8 * 2 b * b 3 b - 2 b ^ 2 = 16 b ^ 2 3 b = 18 b ^ 2 b = 3 / 18 = 1 / 6 so , a = 2 b = 1 / 3 answer : d" | null |
Question: if - 2 and - 3 are negative integers , then - 2 * - 3 + 2 is
A.- 5.
B.8.
C.- 6.
D.- 3.
e ) - 8B.
answer : b | null |
Question: a can give b 50 meters start and c 100 meters start in a kilometer race . how much start can b give c in a kilometer race ?
A.111.12.
B.111.67.
C.111.64.
D.52.63.
e ) 101.12D.
"a runs 1000 m while b runs 950 m and c runs 900 m . the number of meters that c runs when b runs 1000 m , = ( 1000 * 900 ) / 950 = 947.37 m . b can give c = 1000 - 947.37 = 52.63 m . answer : d" | null |
Question: a train covers a distance of 100 km in 1 hour . if its speed is decreased by 10 km / hr , the time taken by the car to cover the same distance will be ?
A.1 hr.
B.1 hr 6 min.
C.50 min.
D.1 hr 30 min.
e ) 1 hr 45 minB.
"speed = 100 / 1 = 100 km / hr new speed = 100 - 10 = 90 km / hr time taken = 100 / 90 = 1 hr 6 min answer is b" | null |
Question: if s = x ^ 4 + y ^ 4 = 100 , then the greatest possible value of x is between
A.0 and 3.
B.3 and 6.
C.6 and 9.
D.9 and 12.
e ) 12 and 15B.
my attempt : if s = x ^ 4 + y ^ 4 = 100 , then the greatest possible value of x would be when y is minimum . let y ^ 4 be 0 . now x ^ 4 = 100 . x should be definitely greater than 3 but less than 4 . the only option that fits this range is b hence answer is - - b ) 3 and 6 . | 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 100 , the runs scored by b are ?
A.24.
B.18.
C.13.
D.17.
e ) 12A.
"a : b = 2 : 3 b : c = 2 : 5 a : b : c = 4 : 6 : 15 6 / 25 * 100 = 24 answer : a" | null |
Question: a train 100 m long crosses a platform 125 m long in 1 sec ; find the speed of the train ?
A.810.
B.700.
C.930.
D.100.
e ) 200A.
"d = 100 + 125 = 225 t = 15 s = 225 / 1 * 18 / 5 = 810 kmph answer : a" | null |
Question: if [ x ] is the greatest integer less than or equal to x , what is the value of [ - 2.6 ] + [ 1.4 ] + [ 2.7 ] ?
A.0.
B.1.
C.2.
D.6.
e ) 7A.
you are asked what the closest lesser integer value to [ x ] is . [ - 2.6 ] = - 3.0 [ 1.4 ] = 1.0 [ 2.7 ] = 2.0 therefore , answer is : - 3.0 + 1.0 + 2.0 = 0.0 option a . | null |
Question: if i equals the sum of the even integers from 2 to 200 , inclusive , and k equals the sum of the even integers from 20 to 200 , inclusive , what is the value of i - k ?
A.10.
B.99.
C.9.
D.88.
e ) 90E.
"use following formulae for such problems : sum of evenly spaced integers = ( # of integers ) * ( mean of integers ) # of integers = [ ( last - first ) / 2 ] + 1 mean of integers = ( last + first ) / 2 in above problem : # of integers = [ ( 200 - 2 ) / 2 ] + 1 = 100 and [ ( 200 - 20 ) / 2 ] + 1 = 91 mean of integers = ( 200 + 2 ) / 2 = 101 and ( 200 + 20 ) / 2 = 110 sum of integers = ( 100 * 101 ) = 10100 and ( 91 * 110 ) = 10010 thus their difference i - k = 10100 - 10010 = 90 answer : e" | null |
Question: by selling 32 pencils for a rupee a man loses 60 % . how many for a rupee should he sell in order to gain 60 % ?
A.10.
B.9.
C.8.
D.6.
e ) 4A.
"40 % - - - 40 160 % - - - ? 40 / 160 * 40 = 10 answer : a" | null |
Question: how many seconds will a 800 meter long train moving with a speed of 63 km / hr take to cross a man walking with a speed of 3 km / hr in the direction of the train ?
A.48.
B.52.
C.38.
D.42.
e ) 45A.
"explanation : here distance d = 800 mts speed s = 63 - 3 = 60 kmph = 60 x 5 / 18 m / s time t = 800 x 18 / 60 x 5 = 48 sec . answer is a" | null |
Question: if a - b = 8 and a ^ 2 + b ^ 2 = 164 , find the value of ab
A.10.
B.12.
C.50.
D.18.
e ) 19C.
2 ab = ( a ^ 2 + b ^ 2 ) - ( a - b ) ^ 2 = 164 - 64 = 100 = > ab = 50 answer : c | null |
Question: a sum fetched a total simple interest of rs . 929.20 at the rate of 8 p . c . p . a . in 5 years . what is the sum ?
A.2323.
B.1223.
C.2563.
D.1853.
e ) 2353A.
"explanation : si = rs . 929.20 p = ? t = 5 years r = 8 % p = 100 Γ si / rt = 100 Γ 929.20 / 8 Γ 5 = rs . 2323 answer : option a" | null |
Question: ? % of 360 = 151.2
A.42.
B.36.
C.64.
D.72.
e ) none of theseA.
"? % of 360 = 151.2 or , ? = 151.2 Γ 100 / 360 = 42 answer a" | null |
Question: the radius of a wheel is 22.5 cm . what is the distance covered by the wheel in making 500 resolutions ?
A.708 m.
B.707.14 m.
C.774 m.
D.714 m.
e ) 744 mB.
"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 500 resolutions . = 500 * 2 * 22 / 7 * 22.5 = 70714 cm = 707.14 m answer : b" | null |
Question: jane makes toy bears . when she works with an assistant , she makes 89 percent more bears per week and works 10 percent fewer hours each week . having an assistant increases jane β s output of toy bears per hour by what percent ?
A.20 %.
B.80 %.
C.110 %.
D.180 %.
e ) 200 %C.
"let ' s assume just jane 40 bears per 40 / hrs a week , so that is 1 bear / hr . with an assistant she makes 75.6 bears per 36 hours a week or 2.1 bears / hr ( [ 40 bears * 1.89 ] / [ 40 hrs * . 90 ] ) . [ ( 2.1 - 1 ) / 1 ] * 100 % = 110 % answer : c" | null |
Question: how many cubes of 10 cm edge can be put in a cubical box of 1 m edge ?
A.1.
B.10.
C.100.
D.1000.
e ) noneD.
"sol . number of cubes = [ 100 * 100 * 100 / 10 * 10 * 10 ] = 1000 . answer d" | null |
Question: 12 men work 8 hours per day to complete the work in 10 days . to complete the same work in 8 days , working 15 hours a day , the number of men required ?
A.8 days.
B.9 days.
C.11 days.
D.13 days.
e ) 15 daysA.
"that is , 1 work done = 12 Γ 8 Γ 10 then , 12 8 Γ 10 = ? Γ 15 Γ 8 ? ( i . e . no . of men required ) = 12 Γ 8 Γ 10 / 15 Γ 10 = 8 days . a )" | null |
Question: if a man lost 10 % by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44 % ?
A.6.5.
B.7.5.
C.7.
D.8.
e ) 2B.
90 % - - - - 12 144 % - - - - ? 90 / 144 * 12 = 7.50 answer : b | null |
Question: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 5 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
A.10 : 5.
B.15 : 2.
C.20 : 2.
D.25 : 2.
e ) none of theseD.
"explanation : indian stamps are common to both ratios . multiply both ratios by factors such that the indian stamps are represented by the same number . us : indian = 5 : 2 , and indian : british = 5 : 1 . multiply the first by 5 , and the second by 2 . hence the two ratios can be combined and us : british = 25 : 2 now us : indian = 25 : 10 , and indian : british = 10 : 2 answer : d" | null |
Question: a canteen requires 13 dozen bananas per day . how many bananas will it require for 9 weeks ?
A.728.
B.9828.
C.1404.
D.9882.
e ) noneD.
requirement of bananas for 1 day in the canteen = 13 dozens β΄ requirement of bananas for 9 weeks i . e . 63 days = 63 Γ 13 dozens = 63 Γ 13 Γ 12 = 9828 . answer d | null |
Question: an amount of money is to be distributed among faruk , vasim and ranjith in the ratio 3 : 5 : 11 . if vasims share is rs . 1500 , what is the difference between faruk ' s and ranjith ' s shares ?
A.s 1200.
B.s 1500.
C.s 1600.
D.s 1900.
e ) s 2400E.
"explanation : let p = faruk , q = vasim , r = ranjith let p = 3 x , q = 5 x and r = 11 x . then , 5 x = 1500 ? x = 300 . p = 900 , q = 1500 and r = 3300 . hence , ( r - p ) = ( 3300 - 900 ) = 2400 answer : e" | null |
Question: the perimeter of a rectangular yard is completely surrounded by a fence that measures 36 meters . what is the length of the yard if the area of the yard is 40 meters squared ?
A.12.
B.10.
C.8.
D.14.
e ) 16C.
"perimeter of rectangular yard = 2 ( l + b ) = 36 - - > l + b = 18 area = l * b = 40 b = 18 - l l ( 18 - l ) = 40 18 l - l ^ 2 = 40 l ^ 2 - 18 l + 40 = 0 upon simplifying we get l = 5 or 8 . only 8 is there in the answer choice . answer : c" | null |
Question: a shipment of 230 smartphones contains 84 that are defective . if a customer buys two smartphones at random from the shipment , what is the approximate probability that both phones are defective ?
A.1 / 250.
B.1 / 84.
C.1 / 11.
D.9 / 68.
e ) 1 / 3D.
"probability of chosing one defective phone from a lot of 230 which ontains 84 defective phones is = ( 84 / 230 ) probability of chosing one defective phone from a lot of 229 ( we already picked one ) which ontains 83 ( we already picked one ) defective phones is = ( 83 / 229 ) combined probability of series of events = product of the probabilities = ( 84 / 230 ) * ( 83 / 229 ) 84 / 230 is close to ( 23 / 63 ) and ( 83 / 229 ) = ( 29 / 80 ) so answer is ( 23 / 63 ) * ( 29 / 80 ) = ( 9 / 68 ) so , answer will be d" | null |
Question: a large box contains 20 small boxes and each small box contains 32 chocolate bars . how many chocolate bars are in the large box ?
A.A.220.
B.B.490.
C.C.380.
D.D.450.
e ) e ) 640E.
"the only thing you have to do is a simple multiply we have : 20 * 32 = 640 correct answer is : e ) 640" | null |
Question: how many digits are in ( 8 Γ 10 ^ 12 ) ( 10 Γ 10 ^ 9 ) ?
A.20.
B.23.
C.26.
D.27.
e ) 28B.
"the question simplfies to ( 8 Γ 10 ^ 12 ) ( 10 ^ 10 ) = > 8 * 10 ^ 22 = > will contain 22 zeros + 1 digit 8 = > 23 ans b" | 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 6 : 00 am and pipe b at 7 : 00 am , at what time will the pool be full ?
A.14 : 00.
B.15 : 00.
C.13 : 00.
D.16 : 00.
e ) 17 : 00D.
"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 6 : 00 a . m and pipe b at 7 : 00 a . m pool filled after 1 hour by pipe a : 1 / 4 or 3 / 12 after 7 : 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 6 : 00 a . m , pool is full at 16 : 00 hrs answer : d" | null |
Question: in a mayoral election , candidate x received 1 / 2 more votes than candidate y , and candidate y received 2 / 5 fewer votes than z . if z received 25000 votes how many votes did candidate x received ?
A.18000.
B.22500.
C.24000.
D.26000.
e ) 32000B.
z = 25 - - > y received 2 / 5 fewer votes than z - - > y = z - 2 / 5 * z = 15 ; x received 1 / 2 more votes than y - - > x = y + 1 / 2 * y = 22,5 . answer : b . | null |
Question: a train 800 m long can cross a pole in 10 sec and then find the speed of the train ?
A.280.
B.282.
C.284.
D.286.
e ) 288E.
"length = speed * time speed = l / t s = 800 / 10 s = 80 m / sec speed = 80 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 288 kmph answer : e" | null |
Question: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 2 , and the ratio of soap to salt is two times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is halved by water evaporation . at that time , what is the ratio of water to salt in the solution ?
A.1 : 1.
B.2 : 3.
C.3 : 2.
D.9 : 4.
e ) 18 : 8E.
water : soap = 3 : 2 soap : salt = 6 : 2 = > for 6 soap , salt = 2 = > for 2 soap , salt = ( 2 / 6 ) * 2 = 2 / 3 so , water : soap : salt = 3 : 2 : 2 / 3 = 18 : 12 : 4 after open container , water : soap : salt = 9 : 18 : 4 so , water : salt = 9 : 4 = 18 : 8 e | null |
Question: irin , ingrid and nell bake chocolate chip cookies in the ratio of 9.18 : 5.17 : 2.05 . if altogether they baked a batch of 150 cookies , what percent of the cookies did nell bake ?
A.0.125 %.
B.1.25 %.
C.12.6 %.
D.125 %.
e ) 0.152 %C.
"9.18 x + 5.17 x + 2.05 x = 16.4 x = 150 cookies x = 150 / 16.4 = 9.1 ( approx ) so , nell baked 9.1 * 2.05 cookies or 19 cookies ( approx ) % share = 19 / 150 = 12.6 approx hence , answer is c ." | null |
Question: if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 80 , what is the value of c β a ?
A.25.
B.60.
C.90.
D.140.
e ) it can not be determined from the information given .B.
"- ( a + b = 90 ) b + c = 160 c - a = 60 b . 60" | null |
Question: a string of 30 light bulbs is wired in such a way that if any individual light bulb fails , the entire string fails . if for each individual light bulb the probability of failing during time period t is 0.1 , what is the probability that the string of light bulbs will fail during the time period t ?
A.0.1.
B.( 0.1 ) ^ 30.
C.1 - ( 0.1 ) ^ 30.
D.( 0.93 ) ^ 30.
e ) 1 - ( 0.90 ) ^ 30E.
"the string of light bulbs will fail if at least one light bulb fails . so , let ' s find the probability of the opposite event and subtract that value from 1 . the opposite event is when none of the 30 light bulbs fails , since the probability of each light bulb not to fail is 1 - 0.1 = 0.90 the the probability that none of the 30 light bulbs fails is 0.90 ^ 30 . hence , the probability that at least one light bulb fails is 1 - 0.90 ^ 30 . answer : e . now , you should have spotted that your reasoning was not right because of one simple thing , consider the case when we have 100 light bulbs instead of 30 , then according to your logic the probability that the string of light bulbs will fail would be 100 * 0.1 = 10 , which is not possible since the probability of an event can not be more than 1 ( 100 % ) ." | null |
Question: the β length of integer x β refers to the number of prime factors , not necessarily distinct , that x has . ( if x = 60 , the length of x would be 4 because 60 = 2 Γ 2 Γ 3 Γ 5 . ) what is the greatest possible length of integer z if z < 800 ?
A.13.
B.10.
C.9.
D.7.
e ) 6C.
"to maximize the length of z , we should minimize its prime base . the smallest prime is 2 and since 2 ^ 9 = 512 < 800 , then the greatest possible length of integer z is 9 . the answer is c ." | null |
Question: an association of mathematics teachers has 1,260 members . only 560 of these members cast votes in the election for president of the association . what percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast ?
A.75 %.
B.26.67 %.
C.42 %.
D.34 %.
e ) 25 %B.
"total number of members = 1260 number of members that cast votes = 560 since , winning candidate received 60 percent of the votes cast number of votes for winning candidate = ( 60 / 100 ) * 560 = 336 percent of total membership that voted for winning candidate = ( 336 / 1260 ) * 100 = 26.67 % answer b" | null |
Question: the circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 32 ft long . what is the distance traveled by the cart , when the front wheel has done five more revolutions than the rear wheel ?
A.20 ft.
B.25 ft.
C.750 ft.
D.900 ft.
e ) 2400 ftE.
"point to note : both the wheels would have traveled the same distance . now consider , no . of revolutions made by back wheel as x , which implies that the number of revolutions made by the front wheel is ( x + 5 ) . equating the distance traveled by front wheel to back wheel : ( x + 5 ) * 30 = x * 32 . ( formula for calculating the distance traveled by each wheel is : # of revolutions * circumference . ) solving this eqn . gives x = 75 . sub x = 75 either in ( x + 5 ) * 30 or in x * 32 to get the distance , which is 2400 . so the correct choice is e ." | null |
Question: for a certain art exhibit , a museum sold admission tickets to a group of 30 people every 5 minutes from 9 : 00 in the morning to 4 : 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.$ 28500.
e ) $ 29160B.
from 9 : 00 in the morning to 4 : 55 in the afternoon , inclusive there are 8 * 12 = 96 five - minute intervals , thus total of 96 * 30 tickets were sold . say x student and 3 x regular tickets were sold , then x + 3 x = 96 * 30 - - > x = 24 * 30 and 3 x = 3 * ( 24 * 30 ) = 24 * 90 . therefore , the total revenue from ticket sales that day was 24 * 30 * 6 + 24 * 90 * 10 = $ 25,920 . answer : b . | null |
Question: during a car trip , maria stopped to rest after she traveled 1 / 2 of the total distance to her destination . she stopped again after she traveled 1 / 4 of the distance remaining between her first stop and her destination , and then she drove the remaining 105 miles to her detination . what was the total distance , in miles from maria ' s starting point to her destination ?
A.280.
B.320.
C.360.
D.420.
e ) 480A.
"easy 280 is the answer . 3 / 4 ( x / 2 ) = 105 x = 105 * 8 / 3 = 280 . answer a" | null |
Question: a can do a job in 20 days and b can do it in 30 days . a and b working together will finish thrice the amount of work in - - - - - - - days ?
A.22 days.
B.22 days.
C.36 days.
D.72 days.
e ) 24 daysC.
"1 / 20 + 1 / 30 = 5 / 60 = 1 / 12 12 / 1 = 12 * 3 = 36 days answer : c" | null |
Question: if 2 / 3 rd of the contents of a container evaporated on the 1 st day . and 1 / 4 th of the remaining evaporated on the second day . what part of the contents of the container is left at the end of the second day ?
A.1 / 4.
B.1 / 12.
C.1 / 18.
D.1 / 6.
e ) 1 / 2D.
after first day , 1 / 3 of the contents remain . after second day , ( 1 / 3 ) - ( 1 / 4 ( 2 / 3 ) ) = ( 1 / 3 ) - ( 1 / 6 ) = 1 / 6 of the contents remain answer : d | null |
Question: the average of first 7 prime numbers is ?
A.10.11.
B.11.11.
C.8.29.
D.13.11.
e ) 14.11C.
"sum of 7 prime no . = 58 average = 58 / 7 = 8.29 answer : c" | null |
Question: in a group of 28 junior high school students , 5 take french , 10 take spanish , and 4 take both languages . the students taking both french and spanish are not counted with the 7 taking french or the 10 taking spanish . how many students are not taking either french or spanish ?
A.7.
B.13.
C.9.
D.12.
e ) 10B.
b 13 add 1 + 10 + 4 to get 15 . then subtract 21 from the total students β 28 β 15 = 13 . answer is b | null |
Question: if pintu is coded as 79523 in a certain code language , how would you code dumbo in the same language ?
A.43426.
B.14236.
C.13436.
D.14263.
e ) 15263A.
"1 2 3 4 5 6 7 8 9 a b c d e f g h i j k l m n o p q r s t u v w x y z sooo . . . dumbo is 43426 . . . answer : a" | null |
Question: a , b , c can complete a piece of work in 3,9 and 15 days respectively . working together , they will complete the same work in how many days ?
A.45 / 23.
B.55 / 23.
C.61 / 57.
D.12 / 13.
e ) 22 / 23A.
( a + b + c ) ' s 1 day work = ( 1 / 3 ) + ( 1 / 9 ) + ( 1 / 115 ) = 23 / 45 a , b , c together will complete the work in 45 / 23 days answer is a | null |
Question: in a group of cows and chickens , the number of legs was 12 more than twice the number of heads . the number of cows was :
A.6.
B.7.
C.10.
D.12.
e ) 14A.
"let the number of cows be x and their legs be 4 x . let the number of chicken be y and their legs be 2 x . total number of legs = 4 x + 2 y . total number of heads = x + y . the number of legs was 12 more than twice the number of heads . therefore , 2 Γ ( x + y ) + 14 = 4 x + 2 y . or , 2 x + 2 y + 12 = 4 x + 2 y . or , 2 x + 12 = 4 x [ subtracting 2 y from both sides ] . or , 12 = 4 x β 2 x [ subtracting 2 x from both sides ] . or , 12 = 2 x . or , x = 6 [ dividing by 2 on both sides ] . therefore , the number of cows = 6 . correct answer : a ) 6" | null |
Question: a store reported total sales of $ 385 million for february of this year . if the total sales for the same month last year was $ 320 million , approximately what was the percent increase in sales ?
A.2 %.
B.17 %.
C.20 %.
D.65 %.
e ) 83 %C.
"new value β old value ) / old value x 100 we are given : february sales this year = 385 million february sales last year = 320 million we need to determine the percent increase between sales from last year to sales this year . thus , the new value = 385 million and the old value = 320 million . let β s plug them into our percent change formula . ( new value β old value ) / old value x 100 [ ( 385 β 320 ) / 320 ] x 100 65 / 320 x 100 13 / 64 x 100 β 13 / 65 x 100 β 1 / 5 x 100 β 20 % . the answer is c ." | null |
Question: if a - b = 3 and a ^ 2 + b ^ 2 = 29 , find the value of ab .
A.5.
B.10.
C.12.
D.14.
e ) 15B.
"2 ab = ( a ^ 2 + b ^ 2 ) - ( a - b ) ^ 2 = 29 - 9 = 20 ab = 10 . b )" | null |
Question: a man is 24 years older than his son . in six years , his age will be twice the age of his son . the present age of the son is
A.14 years.
B.28 years.
C.20 years.
D.22 years.
e ) noneE.
"solution let the son ' s present age be x years . then , man ' s present age = ( x + 24 ) years . then Γ’ β¬ ΒΉ = Γ’ β¬ ΒΊ ( x + 24 ) + 6 = 2 ( x + 6 ) Γ’ β¬ ΒΉ = Γ’ β¬ ΒΊ x + 30 = 2 x + 12 x = 18 . answer e" | null |
Question: for what value of x between β 7 and 7 , inclusive , is the value of x ^ 2 β 10 x + 16 the greatest ?
A.β 7.
B.β 2.
C.0.
D.2.
e ) 7A.
"we can see from the statement that two terms containing x , x ^ 2 will always be positive and - 10 x will be positive if x is - ive . . so the equation will have greatest value if x is - ive , and lower the value of x , greater is the equation . so - 7 will give the greatest value . . ans a" | null |
Question: the sum of all two digit numbers divisible by 6 is
A.910.
B.510.
C.710.
D.610.
e ) 810E.
"required numbers are 12 , 18,24 . . . . . 96 this is an a . p . in which a = 12 , d = 6 and l = 96 . let the number of terms in it be n . then t = 96 so a + ( n - 1 ) d = 96 . 12 + ( n - 1 ) * 6 = 96 , 12 + 6 n - 6 = 96 6 + 6 n = 96 6 n = 96 - 6 n = 90 / 6 then n = 15 . required sum = n / 2 ( a + l ) = 15 / 2 ( 12 + 96 ) = 810 answer is e ." | null |
Question: students at a school were on average 180 cm tall . the average female height was 170 cm , and the average male height was 182 cms . what was the ratio of men to women ?
A.5 : 2.
B.5 : 1.
C.4 : 3.
D.4 : 1.
e ) 3 : 1B.
"we ' re given a few facts to work with : 1 ) the average height of the females is 170 cm 2 ) the average height of the males is 182 cm 3 ) the average of the group is 180 cm we ' re asked for the ratio of men to women . w = number of women m = number of men ( 170 w + 182 m ) / ( w + m ) = 180 170 w + 182 m = 180 w + 180 m 2 m = 10 w m = 5 w m / w = 5 / 1 the ratio of men to women is 5 to 1 . b" | null |
Question: ages of two persons differ by 14 years . if 6 year ago , the elder one be 3 times as old the younger one , find their present age
A.12,28.
B.13,27.
C.16,32.
D.18,34.
e ) 19,34B.
"explanation : let the age of younger person is x , then elder person age is ( x + 14 ) = > 3 ( x - 6 ) = ( x + 14 - 6 ) [ 6 years before ] = > 3 x - 18 = x + 8 = > x = 13 so other person age is x + 14 = 27 answer : option b" | null |
Question: the price of a coat in a certain store is $ 500 . if the price of the coat is to be reduced by $ 400 , by what percent is the price to be reduced ?
A.10 %.
B.15 %.
C.20 %.
D.25 %.
e ) 80 %E.
"price of a coat in a certain store = $ 500 the price of the coat is to be reduced by $ 400 % change = ( final value - initial value ) * 100 / initial value % reduction = ( reduction in price ) * 100 / initial value i . e . % reduction = ( 400 ) * 100 / 500 = 80 % answer : option e" | null |
Question: convert 2.3 hectares in ares
A.130 ares ..
B.160 ares ..
C.180 ares ..
D.230 ares ..
e ) 250 ares .D.
"2.3 hectares in ares 1 hectare = 100 ares therefore , 2.3 hectares = 2.3 Γ 100 ares = 230 ares . answer - d" | null |
Question: jack has two dice , one has 6 equally probable sides , labeled 1 , 2 , 3 , 4 , 5 , 6 , and the other has 7 equally probable sides , labeled 1 , 2 , 3 , 4 , 5 , 6 , 7 . if jack rolls both dice what is the probability that both of the number ' s sum will be 13 ?
A.3 / 14.
B.2 / 7.
C.1 / 3.
D.1 / 42.
e ) 12 / 21D.
both dice addition result is 13 = ( 6 + 7 ) probability that the number on first die is 6 = 1 / 6 probability that the number on second die is 7 = 1 / 7 probability that both dice addition result is 13 = 1 / 6 * 1 / 7 = 1 / 42 d | null |
Question: calculate how many seconds it will take for 4 bells to toll together again , given that they begin to toll together respectively at the intervals of 9 , 12 , 15 and 18 seconds ?
A.186.
B.130.
C.180.
D.181.
e ) 120C.
"lcm of 9 , 12 , 15 and 18 is 180 lcm = 180 answer : c" | null |
Question: if a = 105 and a ^ 3 = 21 * 25 * 315 * b , what is the value of b ?
A.35.
B.7.
C.45.
D.49.
e ) 54B.
first step will be to break down all the numbers into their prime factors . 105 = 3 * 5 * 7 21 = 7 * 3 25 = 5 * 5 315 = 3 * 3 * 5 * 7 so , ( 105 ) ^ 3 = 3 * 7 * 5 * 5 * 3 * 3 * 5 * 7 * b therefore ( 3 * 5 * 7 ) ^ 3 = 3 ^ 3 * 5 ^ 3 * 7 ^ 2 * b therefore , b = 3 ^ 3 * 5 ^ 3 * 7 ^ 3 / 3 ^ 3 * 5 ^ 3 * 7 ^ 2 b = 7 correct answer b . | null |
Question: boy sells a book for rs . 540 he gets a loss of 10 % , to gain 10 % , what should be the sp ?
A.430.
B.450.
C.550.
D.590.
e ) 660E.
"cost price = 540 / 90 x 100 = 600 to gain 10 % = 600 x 10 / 100 = 60 sp = cp + gain = 600 + 60 = 660 answer : e" | null |
Question: xavier , yvonne , and zelda each try independently to solve a problem . if their individual probabilities for success are 1 / 3 , 1 / 2 and 5 / 8 , respectively , what is the probability that xavier and yvonne , but not zelda , will solve the problem ?
A.1 / 16.
B.7 / 8.
C.9 / 64.
D.5 / 64.
e ) 3 / 64A.
"p ( xavier will solve ) = 1 / 3 p ( yvonne will solve ) = 1 / 2 p ( zelda will not solve ) = 1 - 5 / 8 = 3 / 8 . now , we need to multiply all this ps to find an answer : p = ( 1 / 3 ) * ( 1 / 2 ) * ( 3 / 8 ) = 1 / 16 . ans . a ." | null |
Question: a sum of money is put out at compound interest for 2 years at 20 % . it would fetch rs . 723 more if the interest were payable half - yearly , then it were pay able yearly . find the sum .
A.22200.
B.21897.
C.28799.
D.30000.
e ) 32782D.
"p ( 11 / 10 ) ^ 4 - p ( 6 / 5 ) ^ 2 = 723 p = 30000 answer : d" | null |
Question: if 0.2 of a number is equal to 0.08 of another number , the ratio of the numbers i
A.2 : 3.
B.2 : 5.
C.3 : 20.
D.20 : 3.
e ) noneB.
"sol . 0.2 a = 0.08 b Γ’ β‘ β a / b = 0.08 / 0.20 = 8 / 20 = 2 / 5 Γ’ Λ Β΄ a : b = 2 : 5 . answer b" | null |
Question: a person want to give his money of $ 1800 to his 3 children a , b , c in the ratio 2 : 3 : 4 . what is the b ' s share ?
A.$ 700.
B.$ 600.
C.$ 900.
D.$ 500.
e ) $ 400B.
"b ' s share = 1800 * 3 / 9 = $ 600 answer is b" | null |
Question: in what time will a train 240 metres long cross an electric pole , if its speed be 126 km / hr ?
A.6.75 sec.
B.6.85 sec.
C.6.55 sec.
D.6.44 sec.
e ) 7.85 secB.
"solution speed = ( 126 x 5 / 18 ) m / sec = 35 m / sec time taken = ( 240 / 35 ) sec = 6.85 sec . answer b" | null |
Question: a tourist does not have to pay tax on the first $ 600 of goods he purchases in country b , but does have to pay a 7 percent tax on the portion of the total value that is in excess of $ 600 . what tax must be paid by a tourist if he buys goods with a total value of $ 1720 ?
A.$ 54.00.
B.$ 78.40.
C.$ 90.00.
D.$ 100.80.
e ) $ 154.80B.
correct answer : b the tourist must pay tax on $ 1720 - $ 600 = $ 1120 . thus , the amount of tax he has to pay is 0.07 ( $ 1120 ) = $ 78.40 . the correct answer is b . | null |
Question: how long does a train 110 m long travelling at 60 kmph takes to cross a bridge of 200 m in length ?
A.18.6 sec.
B.14.9 sec.
C.12.4 sec.
D.16.8 sec.
e ) 11.8 secA.
"a 18.6 sec d = 110 + 200 = 310 m s = 60 * 5 / 18 = 50 / 3 t = 310 * 3 / 50 = 18.6 sec answer is a" | null |
Question: excepting β seldom β which means β rarely , infrequently and not often , is the antonym .
A.22.
B.278.
C.267.
D.176.
e ) 971D.
answer : d | null |
Question: if y is the smallest positive integer such that 7350 multiplied by y is the square of an integer , then y must be
A.2.
B.5.
C.6.
D.7.
e ) 14C.
"i just tried plugging in the numbers and found out that 6 * 7350 = 44 , 100 , which is a square of 210 c" | null |
Question: simplify : 0.6 * 0.6 + 0.6 * 0.6
A.0.52.
B.0.42.
C.0.48.
D.0.64.
e ) 0.46E.
"given exp . = 0.6 * 0.6 + ( 0.6 * 6 ) = 0.36 + 0.1 = 0.46 answer is e ." | null |
Question: two pipes a and b can fill a tank in 24 minutes and 32 minutes respectively . if both the pipes are opened simultaneously , after how much time should b be closed so that the tank is full in 18 minutes ?
A.7 minute.
B.9 minute.
C.10 minute.
D.8 minute.
e ) 11 minuteD.
pipe a will work for 18 minutes . suppose pipe b is closed after x minutes than we have 18 / 24 + x / 32 = 1 x = 8 minute . answer : d | null |
Question: the average height of 35 boys in a class was calculated as 181 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.179.29 cm.
C.123.98 cm.
D.149.98 cm.
e ) 146.89 cmB.
"calculated average height of 35 boys = 181 cm . wrong total height of 35 boys = 181 * 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 = 181 cm - ( 166 cm - 106 cm ) / 35 = 181 cm - ( 166 cm - 106 cm ) / 35 = 181 cm - 60 / 35 cm = 181 cm - 1.71 cm = 179.29 cm . answer : b" | null |
Question: in an election between the two candidates , the candidates who gets 70 % of votes polled is winned by 280 vote β s majority . what is the total number of votes polled ?
A.750.
B.700.
C.800.
D.850.
e ) none of theseB.
"explanation : note : majority ( 40 % ) = difference in votes polled to win ( 70 % ) & defeated candidates ( 30 % ) 40 % = 70 % - 30 % 40 % - - - - - > 280 ( 40 * 7 = 280 ) 100 % - - - - - > 700 ( 100 * 7 = 700 ) answer : option b" | null |
Question: a dishonest dealer professes to sell goods at the cost price but uses a weight of 990 grams per kg , what is his percent ?
A.1.01 %.
B.25 %.
C.22 %.
D.29 %.
e ) 45 %A.
"990 - - - 10 100 - - - ? = > 1.01 % answer : a" | null |
Question: a factory that employs 1000 assembly line workers pays each of these workers $ 5 per hour for the first 40 hours worked during a week and 1 Β½ times that rate for hours worked in excess of 40 . what was the total payroll for the assembly - line workers for a week in which 30 percent of them worked 30 hours , 50 percent worked 40 hours , and the rest worked 50 hours ?
A.$ 180,000.
B.$ 185,000.
C.$ 190,000.
D.$ 200,000.
e ) $ 205,000D.
"30 % of 1000 = 300 worked for 30 hours payment @ 5 / hr total payment = 300 * 30 * 5 = 45000 50 % of 1000 = 500 worked for 40 hours payment @ 5 / hr total payment = 500 * 40 * 5 = 100000 remaining 200 worked for 50 hours payment for first 40 hours @ 5 / hr payment = 200 * 40 * 5 = 40000 payment for next 10 hr @ 7.5 / hr payment = 200 * 10 * 7.5 = 15000 total payment = 45000 + 100000 + 40000 + 15000 = 200000 hence , answer is d" | null |
Question: 50 % of x is greater than 1 / 3 rd of x by 110 . what is x ?
A.100.
B.200.
C.300.
D.350.
e ) 660E.
"5 x / 10 - x / 3 = 110 1 x / 6 = 110 x = 660 answer : e" | null |
Question: the bases of a hemisphere and a cone are equal . if their heights are also equal then ratio between their curved surface area is β
['A.1 : β 2', 'B.β 2 βΆ 1', 'C.1 : 2', 'D.2 : 1', 'e ) none of these']B.
both having same radius and the heights are same . so height of cone is same as the radius . 2 Ο r ^ 2 / Ο rl 2 r / β ( r ^ 2 + h ^ 2 ) , where Ο r gets cancelled on both sides and l ^ 2 = r ^ 2 + h ^ 2 2 r / β ( 2 r ^ 2 ) , r = h 2 / β 2 β 2 / 1 answer : b | null |
Question: the average age of a , b and c is 26 years . if the average age of a and c is 29 years , what is the age of b in years ?
A.19.
B.35.
C.20.
D.32.
e ) 21C.
"c 20 age of b = age of ( a + b + c ) β age of ( a + c ) = 26 Γ 3 β 29 Γ 2 = 78 β 58 = 20 years" | null |
Question: a solution contains 8 parts of water for every 7 parts of lemonade syrup . how many parts of the solution should be removed and replaced with water so that the solution will now contain 25 % lemonade syrup ?
A.1.5.
B.1.75.
C.2.14.
D.2.34.
e ) 2.64C.
"let the total solution is 150 l with 80 l water 70 l syrup . to make 25 % syrup solution , the result solution must have 112.5 l syrup and 37.5 l syrup . therefore we are taking 32.5 l of syrup from initial solution and replacing with water . using urinary method : 70 l syrup in 150 l solution 32.5 l syrup in 69.6 l solution we started by multiplying 10 now to get to the result we need to divide by 32.5 = > amount of solution to be replaced with water = ( 69.6 / 32.5 ) = 2.14 . correct option : c" | null |
Question: in what time will a train 175 m long cross an electric pole , it its speed be 180 km / hr ?
A.7.5.
B.6.5.
C.5.5.
D.4.5.
e ) 3.5E.
"speed = 180 * 5 / 18 = 50 m / sec time taken = 175 / 50 = 3.5 sec . answer : e" | null |
Question: 80 % of the population of a village is 64000 . the total population of the village is ?
A.26799.
B.24000.
C.80000.
D.29973.
e ) 12312C.
"x * ( 80 / 100 ) = 64000 x = 800 * 100 x = 80000 answer : c" | null |
Question: the sum of 33 consecutive integers is 3333 . what is the greatest integer in the set ?
A.113.
B.115.
C.117.
D.119.
e ) 121C.
"let x be the first integer in the set , then x + 32 is the largest integer . the sum is : x + ( x + 1 ) + ( x + 2 ) + . . . + ( x + 32 ) = 33 x + 32 * 33 / 2 = 33 ( x + 16 ) then x + 16 = 101 x = 85 the largest integer in the set is 85 + 32 = 117 the answer is c ." | null |
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