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Question: if 4 women can color 48 m long cloth in 2 days , then 6 women can color 36 m long cloth in
A.2 days.
B.3 days.
C.1 day.
D.4 days.
e ) 5 daysC.
"the length of cloth painted by one woman in one day = 48 / 4 Γ 2 = 6 m no . of days required to paint 36 m cloth by 6 women = 36 / 6 Γ 6 = 1 day . c" | null |
Question: a cheese factory sells its cheese in rectangular blocks . a normal block has a volume of 4 cubic feet . if a large block has twice the width , twice the depth , and twice the length of a normal block , what is the volume of cheese in a large block in cubic feet ?
['A.16', 'B.20', 'C.36', 'D.32', 'e ) 28']D.
volume of cube = lbh = 4 new cube l , b , h are increases of 2 l , 2 b , 2 h new volume of cube = 2 l * 2 b * 2 h = 8 * lbh = 8 * 4 = 32 answer : d | null |
Question: a man is 32 years older than his son . in six years , his age will be twice the age of his son . the present age of this son is
A.26 years.
B.27 years.
C.28 years.
D.29 years.
e ) 30 yearsA.
"explanation : let ' s son age is x , then father age is x + 32 . = > 2 ( x + 6 ) = ( x + 32 + 6 ) = > 2 x + 12 = x + 38 = > x = 26 years answer : option a" | null |
Question: the monthly rent of a shop of dimension 20 feet Γ 18 feet is rs . 1440 . what is the annual rent per square foot of the shop ?
['A.48', 'B.56', 'C.68', 'D.87', 'e ) 92']A.
sol . monthly rent per square feet = 1440 / ( 20 * 18 ) = 4 & annual rent per square feet = 12 * 4 = 48 answer : a | null |
Question: ashley and betty start a business with $ 9000 each , and after 3 months , betty adds another $ 5000 . how should they share the profits at the end of the 24 months ?
A.72 : 107.
B.4 : 5.
C.17 : 23.
D.3 : 4.
e ) 68 : 95A.
ashley invests $ 9000 for 24 months , but betty invests $ 9000 for the first 3 months and then adds $ 5000 . so , the investment of betty for remaining 21 months is $ 14000 . ashley : betty 9000 * 24 : ( 9000 * 3 ) + ( 14000 * 21 ) 216000 : 321000 a : b = 72 : 107 answer : a | null |
Question: in an examination , 25 % of total students failed in hindi , 50 % failed in english and 25 % in both . the percentage of these who passed in both the subjects is :
A.23.
B.37.
C.28.
D.40.
e ) 50E.
"explanation : formula n ( a Γ’ Λ Βͺ b ) = n ( a ) + n ( b ) Γ’ Λ β n ( a Γ’ Λ Β© b ) fail in hindi or english = 25 + 50 Γ’ β¬ β 25 = 50 therefore students who passed = 100 Γ’ β¬ β 50 = 50 . answer : e" | null |
Question: the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1225 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 12 units ?
A.140 sq . units.
B.170 sq . units.
C.190 sq . units.
D.168 sq . units.
e ) 149 sq . unitsD.
"explanation : given that the area of the square = 1225 sq . units = > side of square = β 1225 = 35 units the radius of the circle = side of the square = 35 units length of the rectangle = 2 / 5 * 35 = 14 units given that breadth = 12 units area of the rectangle = lb = 14 * 12 = 168 sq . units answer : option d" | null |
Question: a pineapple costs rs 9 each and a watermelon costs rs . 6 each . if i spend rs 51 on total what is the number of pineapple i purchased ?
A.6.
B.7.
C.5.
D.3.
e ) 2C.
"5 * 9 + 6 = 51 5 pineapples answer : c" | null |
Question: a & b started a partnership business . a ' s investment was thrice the investment of b and the period of his investment was two times the period of investments of b . if b received rs 4000 as profit , what is their total profit ?
A.28000.
B.30000.
C.32000.
D.34000.
e ) none of theseA.
"explanation : suppose b ' s investment = x . then a ' s investment = 3 x suppose bs period of investment = y , then a ' s period of investment = 2 y a : b = 3 x * 2 y : xy = 6 : 1 total profit * 1 / 7 = 4000 = > total profit = 4000 * 7 = 28000 . answer : option a" | null |
Question: ratio between rahul and deepak is 4 : 3 , after 6 years rahul age will be 26 years . what is deepak present age ?
A.22.
B.15.
C.77.
D.266.
e ) 182B.
"present age is 4 x and 3 x , = > 4 x + 6 = 26 = > x = 5 so deepak age is = 3 ( 5 ) = 15 answer : b" | null |
Question: a canoe has two oars , left and right . each oar either works or breaks . the failure or non - failure of each oar is independent of the failure or non - failure of the other . you can still row the canoe with one oar . the probability that the left oar works is 3 / 5 . the probability that the right oar works is also 3 / 5 . what is the probability j that you can still row the canoe ?
A.9 / 25.
B.10 / 25.
C.6 / 10.
D.2 / 3.
e ) 21 / 25E.
simply look at the question from the other side . what is the probability that you can β t row the canoe ? this would be 2 / 5 x 2 / 5 = 4 / 25 . using the idea that the probability j of something happening is 1 β the probability that it doesn β t happen , you can use the following equation to reach the right answer : 1 β 4 / 25 = 21 / 25 . answer choice e . | null |
Question: how many multiples of 7 are there between 14 and 343 , exclusive ?
A.48.
B.47.
C.46.
D.45.
e ) 44C.
"7 * 2 = 14 7 * 49 = 343 total multiples = ( 49 - 2 ) + 1 = 48 exclude 7 343 = 48 - 2 = 46 answer is ( c )" | null |
Question: the speed at which a man can row a boat in still water is 15 kmph . if he rows downstream , where the speed of current is 5 kmph , what time will he take to cover 60 metres ?
A.16 seconds.
B.76 seconds.
C.10.8 seconds.
D.12 seconds.
e ) 18 secondsC.
"speed of the boat downstream = 15 + 5 = 20 kmph = 20 * 5 / 18 = 50 / 9 m / s hence time taken to cover 60 m = 60 * 9 / 50 = 10.8 seconds . answer : c" | null |
Question: find the cube root of 185193 .
A.33.
B.57.
C.99.
D.17.
e ) 01B.
"observe unit digit here is 3 so unit digit of the answer is 7 . now omit 193 . now find after which perfect cube 193 lies . it is 125 . so our tenth place is 5 . so answer is 57 . answer : b" | null |
Question: david and lewis leave chennai for hyderabad simultaneously at 8 p . m in the night driving in two cars at speeds of 50 mph and 70 mph respectively . as soon as lewis reaches hyderabad he returns back to chennai along the same route and meets david on the way back . if the distance between the two cities is 350 miles , how far from chennai did david and lewis meet ?
A.250 miles.
B.240 miles.
C.230 miles.
D.235 miles.
e ) 75 milesA.
time taken by lewis to reach hyderabad = 350 / 70 = 5 hours in 5 hours , david travels 50 * 5 = 250 miles so distance at which they meet should be greater than 250 miles . only a satisfies . answer is a . | null |
Question: divide $ 600 among a , b in the ratio 1 : 2 . how many $ that a get ?
A.$ 50.
B.$ 500.
C.$ 150.
D.$ 250.
e ) $ 600E.
sum of ratio terms = 1 + 2 = 3 a = 600 * 1 / 3 = $ 200 answer is e | null |
Question: how many three digit numbers w are divisible by 78 or 91 ?
A.17.
B.19.
C.20.
D.21.
e ) 22B.
"the answer will be 19 . explanation : 78 = 2 * 3 * 13 now multiples of 78 , 156 . . . . 780 , now 1000 - 780 = 220 only two more muktiples of 78 can exists . so total number of 3 digit multiples of 78 are 9 + 2 = 11 91 = 13 * 7 - - total number of three digit multiples - - 9 no remember we have a common multiples as well - - 13 * 7 * 6 = 91 * 6 = 546 so total number of multiples w - - 11 + 9 - 1 = 19 . hence answer is 19 . b" | null |
Question: cereal a is 10 % sugar by weight , whereas healthier but less delicious cereal b is 4 % sugar by weight . to make a delicious and healthy mixture that is 5 % sugar , what should be the ratio of cereal a to cereal b , by weight ?
A.2 : 9.
B.2 : 7.
C.1 : 6.
D.1 : 4.
e ) 1 : 5E.
"ratio of a / ratio of b = ( average wt of mixture - wt of b ) / ( wt of a - average wt of mixture ) = > ratio of a / ratio of b = ( 5 - 4 ) / ( 10 - 5 ) = 1 / 5 so they should be mixed in the ratio 1 : 5 answer - e" | null |
Question: what is the hcf of 2 / 3 , 4 / 9 and 6 / 18
A.7 / 45.
B.2 / 45.
C.1 / 9.
D.8 / 45.
e ) 9 / 45C.
explanation : hcf of fractions = hcf of numerators / lcm of denominators = ( hcf of 2 , 4 , 6 ) / ( lcm of 3 , 9 , 18 ) = 2 / 18 = 1 / 9 answer : option c | null |
Question: the mean proportional between 234 and 104 is
A.12.
B.39.
C.54.
D.156.
e ) noneD.
"sol . required mean proportional = β 234 x 104 = β 13 x 9 x 2 x 13 x 8 = ( 13 x 3 x 4 ) = 156 . answer d" | null |
Question: a man sells an article at a profit of 25 % . if he had bought it at 20 % less and sold it for rs . 6.30 less , he would have gained 30 % . find the cost of the article .
A.30.
B.40.
C.50.
D.60.
e ) 70A.
"let c . p = 100 gain = 25 % s . p = 125 supposed c . p = 80 gain = 30 % s . p = ( 130 * 80 ) / 100 = 104 diff = ( 125 - 104 ) = 21 diff 21 when c . p = 100 then diff 6.30 when c . p = ( 100 * 6.30 ) / 21 = 30 answer : a" | null |
Question: a bus starts from city x . the number of women in the bus is half of the number of men . in city y , 16 men leave the bus and 8 women enter . now , number of men and women is equal . in the beginning , how many passengers entered the bus ?
A.15.
B.30.
C.36.
D.72.
e ) 46D.
explanation : originally , let number of women = x . then , number of men = 2 x . so , in city y , we have : ( 2 x - 16 ) = ( x + 8 ) or x = 24 . therefore total number of passengers in the beginning = ( x + 2 x ) = 3 x = 72 . answer : d | null |
Question: at tea factory , each employee working the second shift produced 2 / 3 as many widgets as each employee working the first shift . if the first shift has 3 / 4 as many employees , what fraction of the total widgets did the second shift produce ?
A.8 / 17.
B.1 / 2.
C.8 / 9.
D.9 / 8.
e ) 17 / 8A.
at tea factory , let the first shift have 3 employee and each produce 3 widgets , so the total number of widgets produced by the first shift is 3 * 3 = 9 ; then the second shift would have 4 employees and each second shift employee would produce 3 * 2 / 3 = 2 widgets , so the total number of widgets produced by the second shift employees would be 4 * 2 = 8 ; the ratio of the second shift production to the total is 8 / ( 9 + 8 ) = 8 / 17 . answer : a . | null |
Question: there are two concentric circles with radii 6 and 4 . if the radius of the outer circle is increased by 50 % and the radius of the inner circle decreased by 25 % , by what percent does the area between the circles increase ?
A.160.
B.210.
C.260.
D.310.
e ) 360C.
"the area of a circle is pir ^ 2 , where r is the radius . the area of the big circle is 36 pi . the area of the small circle is 16 pi . the area a 1 between the circles is 20 pi . when the big circle ' s radius increases , the new area is 81 pi . when the small circle ' s radius decreases , the new area is 9 pi . the area a 2 between the circles is 72 pi . the ratio of a 2 / a 1 is 72 / 20 = 3.6 which is an increase of 260 % . the answer is c ." | null |
Question: john works at a resort from the beginning of march to the end of september . during the month of august this past year , he made 6 times the average ( arithmetic mean ) of his monthly totals in tips for the other months . his total tips for august were what fraction of his total tips for all of the months he worked ?
A.1 / 8.
B.1 / 7.
C.1 / 2.
D.1 / 4.
e ) 1 / 6C.
first notice the number of months for which he worked - march to sept i . e . 7 months avg of monthly totals in tips for months other than august = x tips in august = 6 x total tips for all months = 6 * x + 6 x = 12 x tips for august / total tips for all months = 6 x / 12 x = 1 / 2 answer : c | null |
Question: a hat company ships its hats , individually wrapped , in 8 - inch by 10 - inch by 12 - inch boxes . each hat is valued at $ 7.50 . if the company β s latest order required a truck with at least 192,000 cubic inches of storage space in which to ship the hats in their boxes , what was the minimum value of the order ?
A.$ 960.
B.$ 1,350.
C.$ 1,500.
D.$ 2,050.
e ) $ 2,250C.
"number of boxes = total volume / volume of one box = 192,000 / ( 8 * 10 * 12 ) = 200 one box costs 7.50 , so 200 box will cost = 200 * 7.5 = 1500 c is the answer" | null |
Question: x does a work in 15 days . y does the same work in 45 days . in how many days they together will do the same work ?
A.10.
B.12.
C.20.
D.11.25.
e ) 15D.
"x ' s 1 day ' s work = 1 / 15 y ' s 1 day ' s work = 1 / 45 ( x + y ) ' s 1 day ' s work = ( 1 / 15 + 1 / 45 ) = 1 / 11.25 both together will finish the work in 11.25 days . correct option is d" | null |
Question: in a certain state , the ratio of registered republicans to registered democrats is 3 to 2 , and every registered voter is either a republican or a democrat . if 75 percent of the republicans and 15 percent of the democrats are expected to vote for candidate x , and everyone else is expected to vote for candidate y , by what percent is candidate x expected to win the election ?
A.2 %.
B.5 %.
C.8 %.
D.10 %.
e ) 15 %A.
"since we were expected to find a percentage figure - it thought that it might be easier to pick a ' smart number ' to represent the total number of voters ( republicans and democrats ) . therefore , i picked 100 ( as the total number of voters ) and thus 3 : 2 = = 60 : 40 represents the number ratio of republicans : democrats . if 75 % of republicans ( which is ( 60 * 0.75 ) = 45 ) and 15 % of democrats ( 40 * 0.15 = 6 ) voted for candidate x , means that out of total of 100 voters ; 51 ( 45 + 6 ) voters voted for candidate x and 49 voted for candidate y . thus we can infer that candidate x is expected to win the election by 2 ( 51 - 49 ) votes . therefore candidate x is expected to win the election by ( 2 / 100 ) votes which is equivalent to 2 % . i think the answer is a ." | null |
Question: the speeds of three asteroids were compared . asteroids x - 13 and y - 14 were observed for identical durations , while asteroid z - 15 was observed for 2 seconds longer . during its period of observation , asteroid y - 14 traveled three times the distance x - 13 traveled , and therefore y - 14 was found to be faster than x - 13 by 4000 kilometers per second . asteroid z - 15 had an identical speed as that of x - 13 , but because z - 15 was observed for a longer period , it traveled five times the distance x - 13 traveled during x - 13 ' s inspection . asteroid x - 13 traveled how many kilometers during its observation ?
A.500.
B.1,600 / 3.
C.1,000.
D.1,500.
e ) 2,500C.
"st + 2 s = 5 st t + 2 = 5 t 2 = 4 t t = 1 / 2 we are looking for distance ( d = s * t ) so we need to solve for speed now that we have time . speed y 14 - speed x 13 speed = d / t 3 d / t - d / t = 4000 ( remember , t is the same because both asteroids were observed for the same amount of time ) 2 d = 4000 2 = 2000 d = s * t d = 2000 * ( 1 / 2 ) d = 1000 answer : c" | null |
Question: a corporation that had $ 10 billion in profits for the year paid out $ 500 million in employee benefits . approximately what percent of the profits were the employee benefits ? ( note : 1 billion = 10 ^ 9 )
A.50 %.
B.20 %.
C.5 %.
D.2 %.
e ) 0.2 %C.
"required answer = [ employee benefit / profit ] * 100 = [ ( 500 million ) / ( 10 billion ) ] * 100 = [ ( 500 * 10 ^ 6 ) / ( 10 * 10 ^ 9 ) ] * 100 = ( 50 / 1000 ) * 100 = 5 % so answer is ( c )" | null |
Question: if 0.75 : x : : 3 : 8 , then x is equal to :
A.A.2.12.
B.B.2.2.
C.C.1.25.
D.D.1.3.
e ) e ) 2.0E.
( x * 3 ) = ( 0.75 * 8 ) x = 6 / 3 x = 2 answer = e | null |
Question: a train 280 m long can cross an electric pole in 20 sec and then find the speed of the train ?
A.88 kmph.
B.89 kmph.
C.72 kmph.
D.50 kmph.
e ) 18 kmphD.
"length = speed * time speed = l / t s = 280 / 20 s = 14 m / sec speed = 14 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 50 kmph answer : d" | null |
Question: the tax on a commodity is diminished by 25 % and its consumption increased by 15 % . the effect on revenue is ?
A.12 % decrease.
B.18 % decrease.
C.19 % decrease.
D.13.75 % decrease.
e ) 12.5 % decreaseC.
"100 * 100 = 10000 75 * 115 = 9200 - - - - - - - - - - - 10000 - - - - - - - - - - - 1375 100 - - - - - - - - - - - ? = > 13.75 % decrease answer : c" | null |
Question: every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 83200 ?
A.81000.
B.81028.
C.105300.
D.29889.
e ) 22312C.
83200 * 9 / 8 * 9 / 8 = 105300 . answer : c | null |
Question: the length of a side of a hexagon is 2 inches . what is the perimeter ?
A.11.
B.12.
C.13.
D.14.
e ) 15B.
"hexagon . it means 6 equal sides . p = 2 + 2 + 2 + 2 + 2 + 2 = 4 + 4 + 4 = 8 + 4 = 12 inches answer b" | null |
Question: a student is ranked 12 th from right and 6 th from left . how many students are there in totality ?
A.17.
B.19.
C.20.
D.21.
e ) 22B.
"from right 12 , from left 6 total = 12 + 6 - 1 = 17 answer : b" | null |
Question: what is the square root of 3,249 ?
A.A.18.
B.B.9.
C.C.45.
D.D.62.
e ) e ) 57E.
"a square root of a number is a number times itself equals the original number . ex ) the square root of 81 is 9 because 9 times itself ( 9 ) equals the original number ( 81 ) . 57 * 57 = 3,249 3249 divided by x = 57 x = 57 ( e ) 57" | null |
Question: x starts a business with rs . 35000 . y joins in the business after 3 months with rs . 25000 . what will be the ratio in which they should share the profit at the end of the year ?
A.28 : 15.
B.29 : 16.
C.25 : 23.
D.14 : 15.
e ) none of theseA.
"explanation : ratio in which they should share the profit = ratio of the investments multiplied by the time period = 35000 * 12 : 25000 * 9 = 35 * 12 : 25 * 9 = 7 * 4 : 5 * 3 = 28 : 15 . answer : option a" | null |
Question: how many 3 digit even numbers do not use any digit more than once
A.280.
B.216.
C.2240.
D.246.
e ) 2520A.
the way i solved it is a b c ( hundreds , tens , units ) c can be 0 2 4 6 8 ( any of the 5 digits ) a can be anything except ( d or 0 ) so 8 possibilities b can be anything execpt ( a d c ) so 7 possibilities total ways are 7 * 8 * 5 = 280 ans : a | null |
Question: a circular path of 19 m radius has marginal walk 2 m wide all round it . find the cost of leveling the walk at 25 p per m 2 ?
A.rs . 49.25.
B.rs . 40.50.
C.rs . 44.20.
D.rs . 62.85.
e ) rs . 43.10D.
"explanation : Ο ( 21 ^ 2 - 19 ^ 2 ) = 22 / 7 * ( 441 - 361 ) = 251.43 251.43 * 1 / 4 = rs . 62.85 answer : option d" | null |
Question: a money lender lent rs . 1000 at 3 % per year and rs . 1200 at 5 % per year . the amount should be returned to him when the total interest comes to rs . 350 . find the number of years .
A.3.5.
B.3.75.
C.3.88.
D.4.25.
e ) 4.5C.
( 1000 xtx 3 / 100 ) + ( 1200 xtx 5 / 100 ) = 350 Γ’ β β t = 3.88 answer c | null |
Question: mother , her daughter and her grand child weighs 130 kg . daughter and her daughter ( child ) weighs 60 kg . child is 1 / 5 th of her grand mother . what is the age of the daughter ?
A.46.
B.47.
C.48.
D.49.
e ) 50A.
mother + daughter + child = 130 kg daughter + child = 60 kg mother = 130 - 60 = 70 kg child = 1 / 5 th of mother = ( 1 / 5 ) * 70 = 14 kg so now daughter = 130 - ( mother + child ) = 130 - ( 70 + 14 ) = 46 kg answer : a | null |
Question: an aeroplane covers a certain distance at a speed of 1500 kmph in 2 hours . to cover the same distance in 1 2 / 3 hours , it must travel at a speed of :
A.2200 kmph.
B.1800 kmph.
C.1900 kmph.
D.2100 kmph.
e ) noneB.
"explanation : distance = ( 1500 x 2 ) = 3000 km . speed = distance / time speed = 3000 / ( 5 / 3 ) km / hr . [ we can write 1 2 / 3 hours as 5 / 3 hours ] required speed = 3000 x 3 / 5 km / hr = 1800 km / hr . answer : option b" | null |
Question: the length of a room is 10 m and width is 4.75 m . what is the cost of paying the floor by slabs at the rate of rs . 900 per sq . metre .
A.25650.
B.25750.
C.26550.
D.42750.
e ) 55725D.
"area = 10 Γ 4.75 sq . metre . cost for 1 sq . metre . = rs . 900 hence total cost = 10 Γ 4.75 Γ 900 = 10 Γ 4275 = rs . 42750 answer is d ." | null |
Question: two stations a and b are 200 km apart on a straight line . one train starts from a at 7 a . m . and travels towards b at 20 kmph . another train starts from b at 8 a . m . and travels towards a at a speed of 25 kmph . at what time will they meet ?
A.9.
B.10.
C.11.
D.12.
e ) 8D.
"suppose they meet x hours after 7 a . m . distance covered by a in x hours = 20 x km . distance covered by b in ( x - 1 ) hours = 25 ( x - 1 ) km . therefore 20 x + 25 ( x - 1 ) = 200 45 x = 225 x = 5 . so , they meet at 12 a . m . answer : option d" | null |
Question: a certain box has 13 cards and each card has one of the integers from 1 to 13 inclusive . each card has a different number . if 2 different cards are selected at random , what is the probability that the sum of the numbers written on the 2 cards is less than the average ( arithmetic mean ) of all the numbers written on the 13 cards ?
A.1 / 7.
B.1 / 13.
C.1 / 15.
D.1 / 22.
e ) 1 / 26B.
"the average of the numbers is 7 the total number of ways to choose 2 cards from 13 cards is 13 c 2 = 78 . the ways to choose 2 cards with a sum less than the average are : { 1,2 } , { 1,3 } , { 1,4 } , { 1,5 } , { 2,3 } , { 2,4 } the probability is 6 / 78 = 1 / 13 the answer is b ." | null |
Question: the value of ( 0.625 * 0.0729 * 28.9 ) / ( 0.0017 * 0.025 * 8.1 ) is
A.0.3825.
B.3.825.
C.38.25.
D.382.5.
e ) 0.0382D.
( 0.625 * 0.0729 * 28.9 ) / ( 0.0017 ) * 0.025 * 8.1 = { ( 625 / 1000 ) * ( 729 / 10000 ) * ( 289 / 10 ) } / { ( 17 / 10000 ) * ( 25 / 1000 ) * ( 81 / 10 ) = 382.5 answer : d | null |
Question: the length of a rectangle is increased by 25 % and its breadth is decreased by 20 % . what is the effect on its area ?
['A.10000', 'B.10008', 'C.10005', 'D.10004', 'e ) 10001']A.
100 * 100 = 10000 125 * 80 = 10000 no change answer : a | null |
Question: the effective annual rate of interest corresponding to a nominal rate of 10 % per annum payable half - yearly is ?
A.10.06 %.
B.10.25 %.
C.10.35 %.
D.16.09 %.
e ) 16.19 %B.
"amount of rs . 100 for 1 year when compounded half - yearly = [ 100 * ( 1 + 5 / 100 ) 2 ] = rs . 110.25 effective rate = ( 110.25 - 100 ) = 10.25 % answer : b" | null |
Question: in a certain parking lot , 5 % of the cars are towed for parking illegally . however 80 % of the cars which are parked illegally are not towed . what percentage of cars in the parking lot are parked illegally ?
A.20 %.
B.25 %.
C.30 %.
D.35 %.
e ) 40 %B.
"let x be the number of cars and let y be the number of cars parked illegally . 5 % * x = 20 % * y y / x = 1 / 4 = 25 % the answer is b ." | null |
Question: in n is a positive integer less than 200 , and 14 n / 60 is an integer , then n has how many different positive prime factors ?
A.2.
B.3.
C.5.
D.6.
e ) 8B.
"14 n / 60 must be an integer . = > 7 n / 30 must be an integer . hence n must be a multiple of 2 * 3 * 5 . = > n has 3 different prime integers and can not have more than 3 different prime integers because 2 * 3 * 5 * 7 = 210 > 200 answer : b" | null |
Question: if x is to be chosen at random from the integers between 1 to 6 , inclusive , and y is to be chosen at random from the integers between 7 and 11 , inclusive , what is the probability that x + y will be even ?
A.1 / 2.
B.2 / 3.
C.3 / 4.
D.4 / 5.
e ) 5 / 6A.
"x + y will be even if x and y are both even or both odd . p ( x and y are both even ) = 3 / 6 * 2 / 5 = 1 / 5 p ( x and y are both odd ) = 3 / 6 * 3 / 5 = 3 / 10 p ( x + y is even ) = 1 / 5 + 3 / 10 = 1 / 2 the answer is a ." | null |
Question: how long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 290 m in length ?
A.18.9 sec.
B.88.9 sec.
C.22.9 sec.
D.24.00 sec.
e ) 72.0 secD.
"d = 110 + 290 = 400 m s = 60 * 5 / 18 = 50 / 3 t = 400 * 3 / 50 = 24.00 sec answer : d" | null |
Question: the total number of plums that grow during each year on a certain plum tree is equal to the number of plums that grew during the previous year , less the age of the tree in years ( rounded down to the nearest integer ) . during its 8 th year , the plum tree grew 50 plums . if this trend continues , how many plums will it grow during its 6 th year ?
A.45.
B.40.
C.35.
D.30.
e ) 25E.
1 st year : 0 - 1 ( age ) , we take age = 0 ( as the question says that we have to ( rounded down to the nearest integer ) ) 2 ndyear : 1 - 2 ( age ) , we take age = 1 3 rd year : 2 - 3 ( age ) , we take age = 2 4 th year : 3 - 4 ( age ) , we take age = 3 5 th year : 4 - 5 ( age ) , we take age = 4 6 th year : 5 - 6 ( age ) , we take age = 5 7 th year : 6 - 7 ( age ) , we take age = 6 8 th year : 7 - 8 ( age ) , we take age = 7 thus for the 3 rd year = 50 , 4 th year = 50 - 3 = 47 5 th year = 47 - 4 = 43 6 th year = 43 - 5 = 38 . 7 th year = 38 - 6 = 32 8 th year = 32 - 7 = 25 the correct answer is e . | null |
Question: a man covers a distance of 180 km at 72 kmph and next 190 km at 88 kmph . what is his average speed for his whole journey of 370 km ?
A.77 kmph.
B.77.15 kmph.
C.77.25 kmph.
D.79 kmph.
e ) 80 kmphC.
formula = 2 * f . s * s . p / f . s + s . p = 2 * 72 * 88 / 88 + 72 = 79.2 kmph option ' c ' | null |
Question: find the sum of first 16 natural numbers
A.136.
B.468.
C.465.
D.463.
e ) 485A.
"explanation : sum of n natural numbers = n ( n + 1 ) / 2 = 16 ( 16 + 1 ) / 2 = 16 ( 17 ) / 2 = 136 answer : option a" | null |
Question: in a zoo , the ratio of the number of cheetahs to the number of pandas is 1 : 3 and was the same 5 years ago . if the increase in the number of cheetahs in the zoo since then is 2 , then what is the increase in the number of pandas ?
A.2.
B.3.
C.5.
D.6.
e ) 15D.
one short cut to solve the problem is c : p = 1 : 3 c increased to 3 = > 1 : 3 = 3 : x = > x = 9 = > p increased by 6 d is the answer | null |
Question: ramesh purchased a refrigerator for rs . 16500 after getting a discount of 20 % on the labelled price . he spent rs . 125 on transport and rs . 250 on installation . at what price should it be sold so that the profit earned would be 10 % if no discount was offered ?
A.34778.
B.26888.
C.22899.
D.23100.
e ) 32778D.
"price at which the tv set is bought = rs . 16,500 discount offered = 20 % marked price = 16500 * 100 / 80 = rs . 20625 the total amount spent on transport and installation = 125 + 250 = rs . 375 \ total price of tv set = 20625 + 375 = rs . 21000 the price at which the tv should be sold to get a profit of 10 % if no discount was offered = 21000 * 110 / 100 = rs . 23100 answer : d" | null |
Question: john bought a total of 16 mangoes and oranges . each mango costs 80 cents and each orange costs 60 cents . if the average price of the 16 mangoes and oranges that john originally purchased was 65 cents , then how many oranges needs to return to raise the average price of his purchase to 72 cents ?
A.4.
B.5.
C.6.
D.7.
e ) 10E.
let number of mangoes be x , number of oranges be 16 - x 0.80 x + ( 16 - x ) 0.60 / 16 = 0.65 solving for x , we get x = 4 - - > mangoes 4 , oranges 12 now , number of oranges to be returned be y 0.80 * 4 + ( 12 - y ) * 0.60 / 16 - y = 0.72 solving for y , y = 10 ans : e | 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 30 meters deep by working for 6 hours ?
A.10.
B.15.
C.20.
D.25.
e ) 30B.
"45 workers * 8 hours / 30 meters = x * 6 / 30 x = 60 total workers 60 - 45 = 15 new workers the answer is b ." | null |
Question: the cost of 8 pens and 4 pencils is rs . 200 and the cost of 2 pens and 2 pencils is rs . 48 . find the cost of each pen ?
A.rs . 32.
B.rs . 36.
C.rs . 42.
D.rs . 26.
e ) rs . 104D.
"let the cost of each pen and pencil be ' p ' and ' q ' respectively . 8 p + 4 q = 200 - - - ( 1 ) 2 p + 2 q = 48 4 p + 4 q = 96 - - - ( 2 ) ( 1 ) - ( 2 ) = > 4 p = 104 = > p = 26 answer : d" | null |
Question: if the product of 4 integers is negative , at most how many of the integers can be negative ?
A.2.
B.3.
C.4.
D.5.
e ) 6B.
the product of 4 integers is negative thus an odd number of integers need to be negative to have a negative product we are asked at most how many are required . so , the highest odd integer before 6 , i . e . 3 correct option : b | null |
Question: a man can row 9 kmph in still water . when the river is running at 1.2 kmph , it takes him 1 hour to row to a place and black . how far is the place ?
A.4.32.
B.4.42.
C.4.52.
D.4.62.
e ) 4.72B.
"m = 9 s = 1.2 ds = 9 + 1.2 = 10.2 us = 9 - 1.2 = 7.8 x / 10.2 + x / 7.8 = 1 x = 4.42 . answer : b" | null |
Question: if 12 men can reap 120 acres of land in 36 days , how many acres of land can 44 men reap in 54 days ?
A.820 acres.
B.660 acres.
C.620 acres.
D.720 acres.
e ) 920 acresB.
"12 men 120 acres 36 days 44 men ? 54 days 120 * 44 / 12 * 54 / 36 10 * 44 * 3 / 2 44 * 15 = 660 answer : b" | null |
Question: the value of a scooter depreciates in such a way that its value of the end of each year is 3 / 4 of its value of the beginning of the same year . if the initial value of the scooter is rs . 40,000 , what is the value at the end of 3 years ?
A.3277.
B.2977.
C.16875.
D.6077.
e ) 17112C.
"explanation : 40,000 ( 34 ) 3 = 1687540,000 ( 34 ) 3 = 16875 answer : c" | null |
Question: the wages earned by robin is 50 % more than that earned by erica . the wages earned by charles is 60 % more than that earned by erica . how much percent is the wages earned by charles more than that earned by robin ?
A.18.75 %.
B.23 %.
C.30 %.
D.50 %.
e ) 7 %E.
"let wage of erica = 10 wage of robin = 1.5 * 10 = 15 wage of charles = 1.6 * 10 = 16 percentage by which wage earned by charles is more than that earned by robin = ( 16 - 15 ) / 15 * 100 % = 1 / 15 * 100 % = 7 % answer e" | null |
Question: a 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2 . 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more . at the end of the two removal and replacement , what is the ratio r of milk and water in the resultant mixture ?
A.17 : 3.
B.9 : 1.
C.3 : 17.
D.5 : 3.
e ) 11 : 2B.
"he 20 litre mixture contains milk and water in the ratio of 3 : 2 . therefore , there will be 12 litres of milk in the mixture and 8 litres of water in the mixture . step 1 . when 10 litres of the mixture is removed , 6 litres of milk is removed and 4 litres of water is removed . therefore , there will be 6 litres of milk and 4 litres of water left in the container . it is then replaced with pure milk of 10 litres . now the container will have 16 litres of milk and 4 litres of water . step 2 . when 10 litres of the new mixture is removed , 8 litres of milk and 2 litres of water is removed . the container will have 8 litres of milk and 2 litres of water in it . now 10 litres of pure milk is added . therefore , the container will have 18 litres of milk and 2 litres of water in it at the end of the second step . therefore , the ratio of milk and water is 18 : 2 or 9 : 1 . shortcut . we are essentially replacing water in the mixture with pure milk . let w _ o be the amount of water in the mixture originally = 8 litres . let w _ r be the amount of water in the mixture after the replacements have taken place . then , { w _ r } / { w _ o } = ( 1 - r / m ) ^ n where r is the amount of the mixture replaced by milk in each of the steps , m is the total volume of the mixture and n is the number of times the cycle is repeated . hence , { w _ r } / { w _ o } Β = ( 1 / 2 ) ^ 2 Β = 1 / 4 therefore r , w _ r Β = { w _ o } / 4 = 8 / 4 Β = 2 litres . b" | null |
Question: reb normally drives to work in 45 minutes at an average speed of 40 miles per hour . this week , however , she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20 % . if reb averages between 12 and 16 miles per hour when biking , how many minutes earlier will she need to leave in the morning in order to ensure she arrives at work at the same time as when she drives ?
A.135.
B.105.
C.95.
D.75.
e ) 45D.
reb normally drives to work in 45 minutes at an average speed of 40 miles per hour . use formula d = rt car : t 1 : 45 min r 1 : 40 mph d 1 : [ ( 40 * 45 ) / 60 ] = 30 miles bike : t 1 : ? r 2 : 12 - 16 mph d 2 : 08 * d 1 = 24 miles t 1 : [ ( 24 * 60 ) / 12 ] = 120 min ( only 12 mph speed yields an answer given in the choices ) therefore , deb has to leave 120 min - 45 min = 75 min early answer : d | null |
Question: a merchant sells an item at a 20 % discount , but still makes a gross profit of 20 percent of the cost . what percent p of the cost would the gross profit on the item have been if it had been sold without the discount ?
A.20 %.
B.40 %.
C.50 %.
D.60 %.
e ) 75 %C.
"let the market price of the product is mp . let the original cost price of the product is cp . selling price ( discounted price ) = 100 % of mp - 20 % mp = 80 % of mp . - - - - - - - - - - - - - - - - ( 1 ) profit made by selling at discounted price = 20 % of cp - - - - - - - - - - - - - - ( 2 ) apply the formula : profit = selling price - original cost price = > 20 % of cp = 80 % of mp - 100 % cp = > mp = 120 cp / 80 = 3 / 2 ( cp ) now if product is sold without any discount , then , profit = selling price ( without discount ) - original cost price = market price - original cost price = mp - cp = 3 / 2 cp - cp = 1 / 2 cp p = = 50 % of cp thus , answer should bec ." | null |
Question: a store owner estimates that the average price of type a products will increase by 15 % next year and that the price of type b products will increase by 10 % next year . this year , the total amount paid for type a products was $ 4500 and the total price paid for type b products was $ 8300 . according to the store owner ' s estimate , and assuming the number of products purchased next year remains the same as that of this year , how much will be spent for both products next year ?
A.$ 14,305.
B.$ 15,325.
C.$ 16,000.
D.$ 16,225.
e ) $ 17,155A.
"cost of type a products next year = 1.15 * 4500 = 5175 cost of type b products next year = 1.1 * 8300 = 9130 total 5175 + 9130 = 14305 option a" | null |
Question: the area of one square is x ^ 2 + 8 x + 16 and the area of another square is 4 x ^ 2 β 28 x + 49 . if the sum of the perimeters of both squares is 72 , what is the value of x ?
A.3.
B.4.
C.5.
D.6.
e ) 7E.
"the areas are ( x + 4 ) ^ 2 and ( 2 x - 7 ) ^ 2 . the lengths of the sides are x + 4 and 2 x - 7 . if we add the two perimeters : 4 ( x + 4 ) + 4 ( 2 x - 7 ) = 72 12 x = 84 x = 7 the answer is e ." | null |
Question: a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 80 percent of books that were loaned out are returned and there are 65 books in the special collection at that time , how many books of the special collection were loaned out during that month ?
A.20.
B.30.
C.35.
D.40.
e ) 50E.
"there are 10 books less ( 75 - 65 ) which represents 20 % of the loaned books ( 100 - 80 ) so total loaned out books = 50 answer e" | null |
Question: while driving from a - ville to b - town , harriet drove at a constant speed of 95 kilometers per hour . upon arriving in b - town , harriet immediately turned and drove back to a - ville at a constant speed of 155 kilometers per hour . if the entire trip took 5 hours , how many minutes did it take harriet to drive from a - ville to b - town ?
A.138.
B.148.
C.150.
D.162.
e ) 186E.
"5 hr = 300 min . if harriet spend equal hrs on each leg she will spend 150 min on each . since speed a - b is less than speed b - a and distance on each leg is the same , time spent on a - b is more than 150 min , which mean we can eliminate ans . a , b and c . now let plug in ans . d or e and verify which one give same distance on each leg . e . t = 186 min * leg a - b - - - > d = 95.186 / 60 = 17670 / 60 * leg b - a - - - - > d = 155 * 114 / 60 = 17670 / 60 so the correct ans . ise" | null |
Question: the owner of a furniture shop charges his customer 24 % more than the cost price . if a customer paid rs . 8091 for a computer table , then what was the cost price of the computer table ?
A.7297.
B.2977.
C.2871.
D.6725.
e ) 6525E.
"explanation : cp = sp * ( 100 / ( 100 + profit % ) ) = 8091 ( 100 / 124 ) = rs . 6525 . answer : e" | null |
Question: what is the smallest number which when diminished by 10 , is divisible 2 , 6 , 12 and 24 ?
A.35.
B.34.
C.20.
D.35.
e ) 342B.
"required number = ( lcm of 2 , 6 , 12 and 24 ) + 12 = 24 + 10 = 34 option b" | null |
Question: the cash realised on selling a 14 % stock is rs . 108.25 , brokerage being 1 / 4 % is ?
A.366.
B.106.
C.108.
D.192.
e ) 122C.
"cash realised = rs . ( 108.25 - 0.25 ) = rs . 108 . answer : c" | null |
Question: if n is the greatest positive integer for which 4 ^ n is a factor of 8 ! , then n = ?
A.2.
B.4.
C.6.
D.8.
e ) 10A.
"8 ! = 40320 e . 4 ^ 10 = 1048576 ( 40320 / 1048576 ) - this is not a factor of 8 ! d . 4 ^ 8 = 65536 ( 40320 / 65536 ) - this is not a factor of 8 ! c . 4 ^ 6 = 4096 ( 40320 / 4096 ) - this is not a factor of 8 ! b . 4 ^ 4 = 256 ( 40320 / 256 ) - this is not a factor of 8 ! a . 4 ^ 2 = 16 ( 40320 / 16 ) - this is a factor of 8 !" | null |
Question: if the average ( arithmetic mean ) of a and b is 215 , and the average of b and c is 160 , what is the value of a β c ?
A.β 220.
B.β 100.
C.100.
D.110.
e ) it can not be determined from the information givenD.
"question : a - c = ? ( a + b ) / 2 = 215 = = = > a + b = 430 ( b + c ) / 2 = 160 = = = > b + c = 320 ( a + b ) - ( b + c ) = 430 - 320 = = = > a + b - b - c = 110 = = = > a - c = 110 answer : d" | null |
Question: 3 boys are ages 4 , 6 and 7 respectively . 3 girls are ages 5 , 8 and 9 , respectively . if two of the boys and two of the girls are randomly selected and the sum of the selected children ' s ages is w , what is the difference between the probability that w is even and the probability that w is odd ?
A.1 / 9.
B.1 / 6.
C.2 / 9.
D.1 / 4.
e ) 1 / 2A.
age of boys w : 4 , 6 , 7 sum of ages taken 2 at a time : 10 , 1311 ages of girls : 5 , 8 , 9 sum of ages taken 2 at a time : 13 , 1714 9 combinations of sum between sets ( 10 , 1211 ) ( 13 , 1714 ) = 23 , 2724 - 16 , 3017 - 24 , 2825 prob ( even ) = 5 / 9 prob ( odd ) = 4 / 9 answer = 5 / 9 - 4 / 9 = 1 / 9 | null |
Question: a can do a job in 30 days and b can do it in 30 days . a and b working together will finish twice the amount of work in - - - - - - - days ?
A.14 days.
B.26 days.
C.30 days.
D.31 days.
e ) 39 daysC.
"c 1 / 30 + 1 / 30 = 1 / 15 15 * 2 = 30 days" | null |
Question: 8 x 2.25 - 5 x 0.85 / 2.5 = ?
A.3.8.
B.10.
C.5.
D.5.5.
e ) 7.5D.
"given expression = ( 18 - 4.25 / 2.5 = 13.75 / 2.5 = 137.5 / 25 = 5.5 answer is d ." | null |
Question: a is a working partner and b is a sleeping partner in the business . a puts in rs . 20000 and b rs . 25000 , a receives 10 % of the profit for managing the business the rest being divided in proportion of their capitals . out of a total profit of rs . 9600 , money received by a is ?
A.1978.
B.2707.
C.7728.
D.4800.
e ) 7291D.
20 : 25 = > 4 : 5 9600 * 10 / 100 = 960 9600 - 960 = 8640 8640 * 4 / 9 = 3840 + 960 = 4800 answer : d | null |
Question: if leo gains 10 pounds , he will weigh 50 % more than his sister kendra . currently their combined weight is 170 pounds . what is leo ' s current weight ?
A.80.
B.86.
C.92.
D.98.
e ) 104D.
"l + k = 170 and so k = 170 - l l + 10 = 1.5 k = 1.5 ( 170 - l ) 2.5 l = 245 l = 98 the answer is d ." | null |
Question: 12 * 18 * 6 is the volume of some material . how many cubes of edge 3 can be insert into it ?
['A.48', 'B.49', 'C.50', 'D.51', 'e ) 52']A.
no . of such cubes = volume of material / volume of one cube ( 12 * 18 * 6 ) / ( 3 * 3 * 3 ) = 48 answer : a | null |
Question: john and jane went out for a dinner and they ordered the same dish . both used a 10 % discount coupon . john paid a 15 % tip over the original price of the dish , while jane paid the tip over the discounted price for the coupon . if john paid $ 0.63 more than jane , what was the original price of the dish ?
A.24.
B.34.8.
C.37.8.
D.42.
e ) 84D.
"the difference between the amounts john paid and jane paid is the deference between 15 % of p and 15 % of 0.9 p : 0.15 p - 0.15 * 0.9 p = 0.63 - - > 15 p - 13.5 p = 63 - - > p = 42 . answer : d ." | null |
Question: 1904 x 1904 = ?
A.3623216.
B.3624216.
C.3624316.
D.3625116.
e ) 3625216E.
"1904 x 1904 = ( 1904 ) 2 = ( 1900 + 4 ) 2 = ( 1900 ) 2 + ( 4 ) 2 + ( 2 x 1900 x 4 ) = 3610000 + 16 + 15200 . = 3625216 . e )" | null |
Question: at what rate percent per annum will sum of money double in 20 years ?
A.1.2 %.
B.2 %.
C.4 %.
D.5 %.
e ) none of theseD.
"explanation : hint : if sum of money becomes ( z times ) in ( t ) years at simple interest , then rate of interest ( r ) can be calculated using the formula : rate of interest ( r ) % = 100 ( z β 1 ) / t here , principal amount is not given . hence , we can directly use the trick to calculate the rate of interest . rate of interest ( r ) % = 100 ( 2 β 1 ) / 20 rate of interest ( r ) % = 5 % p . a . answer is d" | null |
Question: n is a positive integer . when n + 1 is divided by 3 , the remainder is 2 . what is the remainder when n is divided by 3 ?
A.1.
B.5.
C.4.
D.3.
e ) 2A.
"n + 1 = 3 a + 2 i . e . n + 1 = 5 , 8 , 11 , 14 , . . . etc . i . e . n = 4 , 7 , 10 , 13 , . . . etc . when n is divided by 3 remainder is always 1 answer : a" | null |
Question: i bought two books ; for rs . 490 . i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price . find the cost of the book sold at a loss ?
A.337.83.
B.285.83.
C.284.83.
D.266.83.
e ) 299.83B.
"x * ( 85 / 100 ) = ( 490 - x ) 119 / 100 x = 285.83 answer : b" | null |
Question: if 13 men do a work in 80 days , in how many days will 20 men do it ?
A.18 days.
B.38 days.
C.42 days.
D.48 days.
e ) 52 daysE.
"13 * 80 = 20 * x x = 52 days answer : e" | null |
Question: 9773 + x = 13200 , then x is ?
A.3427.
B.3237.
C.3337.
D.2337.
e ) none of theseA.
"answer x = 13200 - 9773 = 3427 option : a" | null |
Question: when 5 + 6 = 305 , 6 + 7 = 425 , 7 + 8 = 565 , then 8 + 9 = ?
A.705.
B.735.
C.685.
D.665.
e ) 725E.
5 + 6 = > 5 Γ£ β 6 = 30 = > 30 Γ£ β 10 + 5 = 305 6 + 7 = > 6 Γ£ β 7 = 42 = > 42 Γ£ β 10 + 5 = 425 7 + 8 = > 7 Γ£ β 8 = 56 = > 56 Γ£ β 10 + 5 = 565 then 8 + 9 = > 8 Γ£ β 9 = 72 = > 72 Γ£ β 10 + 5 = 725 answer : e | null |
Question: the population of a town is 7800 . it decreases annually at the rate of 10 % p . a . what was its population 2 years ago ?
A.9600.
B.8000.
C.8500.
D.9500.
e ) 10000A.
"formula : ( after = 100 denominator ago = 100 numerator ) 7800 Γ£ β 100 / 90 Γ£ β 100 / 90 = 9629 a )" | null |
Question: a hall is 15 m long and 12 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of areas of the four walls , the volume of hall is ?
['A.1100', 'B.1200', 'C.1300', 'D.1400', 'e ) 1500']B.
area of 4 wall = sum of area of floor and celling 2 ( l + b ) * h = 2 ( l * b ) ( 15 + 12 ) * h = 2 ( 12 * 15 ) on solving h = 20 / 3 m volume = l * b * h = 12 * 15 * 20 / 3 = 1200 m ^ 3 answer : b | null |
Question: when the positive integer x is divided by 9 , the remainder is 5 . what is the remainder when 4 x is divided by 9 ?
A.0.
B.1.
C.2.
D.4.
e ) 6C.
"i tried plugging in numbers x = 9 q + 5 x = 14 4 x = 56 4 x / 9 = 9 * 6 + 2 remainder is 2 . answer is c" | null |
Question: 4 mat - weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 8 mat weavers in 8 days ?
A.12.
B.14.
C.16.
D.18.
e ) 20C.
"explanation : please always remember , that what exactly we need to calculate before applying chain formula . as in this question we need to find how many mats , right ! so we will compare everything with ` ` number of mats ' ' as , more men , more number of mats ( direct proportion ) more days , more number of mats ( direct proportion ) so , it can be solved as , [ weavers 4 4 days 8 8 ] : : 4 : x = > x β 4 β 4 = 8 β 8 β 4 = > x = 16 option c" | null |
Question: the floor of a rectangular room is 21 m long and 12 m wide . the room is surrounded by a veranda of width 2 m on all its sides . the area of the veranda is :
A.124 m 2.
B.128 m 2.
C.138 m 2.
D.148 m 2.
e ) none of theseD.
"area of the outer rectangle = 25 Γ£ β 16 = 400 m 2 area of the inner rectangle = 21 Γ£ β 12 = 252 m 2 required area = ( 400 Γ’ β¬ β 252 ) = 148 m 2 answer d" | null |
Question: two bullet trains of equal lengths take 10 seconds and 20 seconds respectively to cross a telegraph post . if the length of each bullet train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ?
A.11 sec ..
B.15 sec ..
C.13.3 sec ..
D.17 sec ..
e ) 19 sec .C.
"speed of the first bullet train = 120 / 10 m / sec = 12 m / sec . speed of the second bullet train = 120 / 20 m / sec = 6 m / sec . relative speed = ( 12 + 6 ) = 18 m / sec . required time = ( 120 + 120 ) / 18 sec = 13.3 sec . c" | null |
Question: in a tree , 3 / 7 of the birds are robins while the rest are bluejays . if 1 / 3 of the robins are female and 3 / 5 of the bluejays are female , what fraction of the birds in the tree are male ?
A.11 / 35.
B.14 / 35.
C.18 / 35.
D.31 / 70.
e ) 37 / 70C.
"the fraction of birds that are male robins is ( 2 / 3 ) ( 3 / 7 ) = 2 / 7 . the fraction of birds that are male bluejays is ( 2 / 5 ) ( 4 / 7 ) = 8 / 35 . the total fraction of male birds is 2 / 7 + 8 / 35 = 18 / 35 . the answer is c ." | null |
Question: the length of a rectangular landscape is 8 times its breadth . there is a playground in it whose area is 1200 square mtr & which is 1 / 6 rd of the total landscape . what is the length of the landscape ?
A.180.
B.270.
C.340.
D.140.
e ) 240E.
"sol . x * 8 x = 6 * 1200 x = 30 length = 8 * 30 = 240 e" | null |
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