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Question: the radius of a sphere is increased by 50 % . the increase in surface area of the sphere is :
A.168.
B.125.
C.186.
D.197.
e ) 191B.
"explanation : take radius 100 . then surface area is 4 Γ Ο Ο Γ 100 Γ 100 . after increase radius by 50 % the radius becomes 100 + 50 % of 100 = 150 then new surface area is 4 Γ Ο Ο Γ 150 Γ 150 then put the values into formula of percentage = 4 Ο 1502 β 4 Ο 10024 Ο 1002 Γ 1004 Ο 1502 β 4 Ο 10024 Ο 1002 Γ 100 = 125 % answer : b" | null |
Question: a man can row 4 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 . what is the total distance traveled by the man ?
A.5.98.
B.3.98.
C.3.54.
D.3.87.
e ) 3.82C.
"m = 4 s = 1.2 ds = 4.8 us = 2.8 x / 4.8 + x / 2.8 = 1 x = 1.77 d = 1.77 * 2 = 3.54 answer : c" | null |
Question: in a certain game , each player scores either 2 points or 5 points . if n players score 2 points and m players score 5 points , and the total number of points scored is 50 , what is the least possible positive difference w between n and m ?
A.1.
B.3.
C.5.
D.7.
e ) 9B.
"we have equation 2 n + 5 m = 50 we have factor 2 in first number and we have factor 5 in second number . lcm ( 2 , 5 ) = 10 so we can try some numbers and we should start from 5 because it will be less list than for 2 2 * 5 = 10 and n should be equal 20 4 * 5 = 20 and n should be equal 15 6 * 5 = 30 and n should be equal 10 8 * 5 = 40 and n should be equal 5 10 * 5 = 50 and n should be equal 0 third variant give us the mininal difference n - m = 10 - 6 = 4 and there is some mistake in my way of thinking because we do n ' t have such answer ) if we change the task and will seek for difference between m and n than minimal result w will be 8 - 5 = 3 and answer b" | null |
Question: h is a positive integer and 225 and 216 are both divisors of h . if h = ( 2 ^ a ) * ( 3 ^ b ) * ( 5 ^ c ) , where a , b and c are positive integers , what is the least possible value of a + b + c ?
A.4.
B.8.
C.6.
D.7.
e ) 5B.
lets make factorization of 225 and 216 . . 225 = 5 x 5 x 3 x 3 x 3 216 = 2 x 2 x 2 x 3 x 3 x 3 h would have to have 3 two ' s , 225 has 3 threes and and so does 216 but they can be the same three threes so we count them only once . . . 225 has 2 fives . . . so we had them together and we get 3 + 3 + 2 = 8 ( b ) ( answer ) . . . | null |
Question: if p and q are both odd prime numbers andp < q , then how many different positive integer factors does 2 pqhave ?
A.3.
B.4.
C.6.
D.8.
e ) 12D.
p and q are both odd prime numbers - it means either p or q is not 2 and since prime numbers have only two factors - 1 and the number itself p and q each will have ( 1 + 1 ) = 2 factors hence 2 pq will have ( 1 + 1 ) ( 1 + 1 ) ( 1 + 1 ) = 8 factors d is the answer | null |
Question: the average age of 25 students in a class is 12 years . 15 students whose average age is 10 years joined them . what is the present average age .
A.13.
B.12.6.
C.11.25.
D.12.
e ) 13C.
"explanation : solution : present average = ax + by / a + b = 25 * 12 + 15 * 10 / 25 + 15 years = 300 + 150 / 40 = > 450 / 40 = > 11.25 . answer : c" | null |
Question: ? x 12 = 173 x 240
A.3460.
B.685.
C.865.
D.495.
e ) 534A.
"let y x 12 = 173 x 240 then y = ( 173 x 240 ) / 12 = 3460 answer : a" | null |
Question: a man goes to shopkeeper and says that if u give me as much as i have , i will spend rs . 10 / - on ur shop . shopkeeper agrees and man moves to another shopkeeper ans asked same . at 3 rd shop after all the transaction , he was left with no money . find the initial amount with the man
A.5.75.
B.6.75.
C.7.75.
D.8.75.
e ) 9.75D.
man has rs . x he leaves - 1 st shop wid rs . ( 2 x - 10 ) 2 nd shop wid rs . [ 2 ( 2 x - 10 ) - 10 ] 3 rd shop wid rs . { 2 [ 2 ( 2 x - 10 ) - 10 ] - 10 } = 0 ( since he has no money left ) so solving the eqn x = 8.75 answer : d | null |
Question: what is the average ( arithmetic mean ) of the numbers 15 , 16 , 17 , 17 , 18 , and 19 ?
A.14.2.
B.16.5.
C.17.
D.17.5.
e ) 18C.
"the average of 15 , 16,17 , 18,19 ( sequence numbers ) is 17 & now average of 17 & 17 ( remaining digit from given list ) is 17 . hence answer is 17 . answer : c" | null |
Question: a starts a business with $ 3500 . after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . b ' s contribution in the capital is
A.7000.
B.9000.
C.8000.
D.9900.
e ) 7900B.
ratio in which profit is divided = 2 : 3 assume that b ' s contribution to the capital = b 3500 Γ 12 : b Γ 7 = 2 : 3 β 3500 Γ 12 Γ 3 = 2 Γ b Γ 7 β b = 3500 Γ 12 Γ 3 / 2 Γ 7 = 500 Γ 6 Γ 3 = 9000 answer : b | null |
Question: two trains of length 180 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?
A.22 sec.
B.23 sec.
C.76 sec.
D.20 sec.
e ) 66 secB.
"relative speed = ( 42 + 30 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in passing each other = 180 + 280 = 400 m . the time required = d / s = 460 / 20 = 23 sec . answer : b" | null |
Question: a train running at the speed of 60 km / hr crosses a pole in 7 sec . what is the length of the train ?
A.112.21.
B.27.21.
C.117.66.
D.277.
e ) 116.66E.
"speed = 60 * 5 / 18 = 50 / 3 m / sec length of the train = speed * time = 50 / 3 * 7 = 116.66 answer : e" | null |
Question: sand is poured into a box so that the box is being filled at the rate of 4 cubic feet per hour . if the empty rectangular box is 7 feet long , 6 feet wide , and 2 feet deep , approximately how many hours does it take to fill the box ?
['A.20', 'B.21', 'C.22', 'D.23', 'e ) 24']B.
the volume the box is : length * width * depth = 7 * 6 * 2 = 84 cubic feet . 84 cubic feet / 4 cubic feet per hour = 21 hours . it will take 21 hours to fill the box . the answer is b . | null |
Question: a train 150 m long passes a man , running at 5 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is :
A.22.
B.50.
C.99.
D.288.
e ) 59E.
speed of the train relative to man = ( 150 / 10 ) m / sec = ( 15 ) m / sec . [ ( 15 ) * ( 18 / 5 ) ] km / hr = 54 km / hr . let the speed of the train be x km / hr . then , relative speed = ( x - 5 ) km / hr . x - 5 = 54 = = > x = 59 km / hr . answer : e | null |
Question: last year a worker saved 4 % of her annual salary . this year , she made 10 % more money than last year and she saved 5 % of her salary . the amount she saved this year was what percent of the amount she saved last year ?
A.137.5 %.
B.142.5 %.
C.147.5 %.
D.152.5 %.
e ) 157.5 %A.
"let x be the worker ' s salary last year . last year , she saved 0.04 x . this year , she saved 0.05 ( 1.1 x ) = 0.055 x 0.055 x / 0.04 x = 55 / 40 = 137.5 % the answer is a ." | null |
Question: two trains 111 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 40 km and the other at the rate of 50 kmph . in what time will they be completely clear of each other from the moment they meet ?
A.11.04.
B.10.0.
C.6.85.
D.5.85.
e ) 6.15A.
"t = ( 111 + 165 ) / ( 40 + 50 ) * 18 / 5 t = 11.04 answer : a" | null |
Question: a corporation paid $ 10 million in federal taxes on its first $ 50 million of gross profits and then $ 30 million in federal taxes on the next $ 150 million in gross profits . by approximately what percent did the ratio of federal taxes to gross profits increase from the first $ 50 million in profits to the next $ 150 million in profits ?
A.0 %.
B.14 %.
C.20 %.
D.23 %.
e ) 43 %A.
"difference in ratios = ( 30 / 150 ) - ( 10 / 50 ) = 0 % change = 0 % answer - a" | null |
Question: a and b walk around a circular track . they start at 8 a . m from the same point in the opposite directions . a and b walk at a speed of 2 rounds per hour and 3 rounds per hour respectively . how many times shall they cross each other before 9 a . m
A.5.
B.6.
C.7.
D.8.
e ) 9A.
explanation : relative speed = ( 2 + 3 ) = 5 rounds per hour so , they cross each other 5 times in an hour hence , they cross 5 times before 9 a . m answer : option a | null |
Question: the product x of two prime numbers is between 17 and 100 . if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25 , then x =
A.18.
B.29.
C.37.
D.44.
e ) 95E.
"option bc can be ruled out as they themselves are prime numbers 18 = 2 * 9 = 3 * 6 > > ignore 44 = 2 * 22 = 4 * 11 > > ignore 51 = 5 * 19 > > answer answer = e" | null |
Question: 10 men and 15 women together can complete a work in 6 days . it takes 100 days for one man alone to complete the same work . how many days will be required for one woman alone to complete the same work ?
A.127 days.
B.667 days.
C.177 days.
D.187 days.
e ) 225 daysE.
1 man ' s 1 day work = 1 / 100 ( 10 men + 15 women ) ' s 1 day work = 1 / 6 15 women ' s 1 day work = ( 1 / 6 - 10 / 100 ) = 1 / 15 1 woman ' s 1 day work = 1 / 225 1 woman alone can complete the work in 225 days . answer : e | null |
Question: in a basket of apples , 12 % of them are rotten and 66 are in good condition . find the total number of apples in the basket .
A.33.
B.75.
C.23.
D.20.
e ) 287B.
let the total number of apples in the basket be m 12 % of the apples are rotten , and apples in good condition are 66 therefore , according to the question , 88 % of m = 66 88 / 100 Γ m = 66 m = ( 66 Γ 100 ) / 88 m = 3 Γ 25 m = 75 therefore , total number of apples in the basket is 75 . answer : b | null |
Question: a distributor sells a product through an on - line store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 15 per item . what is the price that the buyer observers on - line if the distributor wants to maintain a 25 % profit on the cost of the item ?
A.18.
B.21.6.
C.22.
D.22.5.
e ) 24E.
"producer price = $ 15 ; the distributor wants to maintain a 20 % profit on the cost of the item , thus he must get $ 15 * 1.2 = $ 18 after the store takes a commission of 25 % of the final price - - > ( final price ) * 0.75 = $ 18 - - > ( final price ) = $ 24 . answer : e ." | null |
Question: a piece of cloth cost rs 35 . if the length of the piece would have been 4 m longer and each meter cost re 1 less , the cost would have remained unchanged . how long is the piece ?
A.5 mtrs.
B.10 mtrs.
C.12 mtrs.
D.15 mtrs.
e ) 18 mtrsB.
if length of piece is x and cost per mtr is c , then x * c = 35 or c = 35 / x ( x + 4 ) * ( c - 1 ) = 35 or x * c + 4 c - x - 4 = 35 or 35 + 4 c - x - 4 = 35 4 c - x = 4 4 * ( 35 / x ) - x = 4 x = 10 mtrs answer : b | null |
Question: what is the average of 4 tenths and 5 thousandths ?
A.0.2022.
B.0.2012.
C.0.2025.
D.0.2021.
e ) 0.2029C.
four tenths = 0.4 five thousandths = 0.005 the average is ( 0.4 + 0.005 ) / 2 = 0.2025 answer : c | null |
Question: the average weight of a , b and c is 43 kg . if the average weight of a and b be 48 kg and that of b and c be 42 kg , then the weight of b is :
A.55 kg.
B.53 kg.
C.49 kg.
D.52 kg.
e ) 51 kgE.
"explanation let a , b , c represent their respective weights . then , we have : a + b + c = ( 43 x 3 ) = 129 Γ’ β¬ Β¦ . ( i ) a + b = ( 48 x 2 ) = 96 Γ’ β¬ Β¦ . ( ii ) b + c = ( 42 x 2 ) = 84 Γ’ β¬ Β¦ . ( iii ) adding ( ii ) and ( iii ) , we get : a + 2 b + c = 180 Γ’ β¬ Β¦ . ( iv ) subtracting ( i ) from ( iv ) , we get : b = 51 . b Γ’ β¬ β’ s weight = 51 kg . answer e" | null |
Question: pipe p can fill a tank in 3 hours , pipe q in 9 hours and pipe r in 18 hours . if all the pipes are open , in how many hours will the tank be filled ?
A.2 hours.
B.2.4 hours.
C.3 hours.
D.3.5 hours.
e ) 4.5 hoursA.
"explanation : part filled by ( p + q + r ) in 1 hour = ( 1 / 3 + 1 / 9 + 1 / 18 ) = 1 / 2 all the three pipes together will fill the tank = 2 / 1 = 2 hours answer a" | null |
Question: if the population of a certain country increases at the rate of one person every 15 seconds , by how many persons does the population increase in 25 minutes ?
A.80.
B.100.
C.150.
D.240.
e ) 300B.
"since the population increases at the rate of 1 person every 15 seconds , it increases by 4 people every 60 seconds , that is , by 4 people every minute . thus , in 25 minutes the population increases by 25 x 4 = 100 people . answer . b ." | null |
Question: a monkey ascends a greased pole 10 meters high . he ascends 2 meters in the first minute and then slips down 1 meter in the alternate minute . if this pattern continues until he climbs the pole , in how many minutes would he reach at the top of the pole ?
A.10 th minute.
B.21 st minute.
C.17 th minute.
D.22 nd minute.
e ) 13 th minuteC.
the money is climbing 1 meter in 2 min . this pattern will go on till he reaches 10 meters . i mean this will continue for first 8 * 2 = 16 mins . he would have reached 8 meters . after that he will climb 2 meters and he will reach the pole . so total time taken = 16 + 1 = 17 mins . so , asnwer will be c | null |
Question: the number 35 is equal to the sum of the cubes of two integers . what is the product of those integers ?
A.6.
B.15.
C.21.
D.27.
e ) 39A.
"2 ^ 3 + 3 ^ 3 = 35 therefore product is 2 * 3 = 6 a" | null |
Question: fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 9 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discounts rates is 22 percent , what is the discount rate on pony jeans ?
A.9 %.
B.10 %.
C.11 %.
D.12 %.
e ) 13 %B.
"let x be the percentage decrease in fox jeans pony jeans = 22 - x ( 15 * x / 100 ) * 3 + ( 18 ( 22 - x ) / 100 ) * 2 = 9 . . . . . . . . . . . given 45 x / 100 + 792 - 36 x / 100 = 9 9 x + 792 / 100 = 9 9 x + 792 = 900 9 x = 108 x = 12 = fox jeans hence pony jeans = 22 - 12 = 10 answer : b" | null |
Question: two pipes a and b can separately fill a tank in 12 and 15 minutes respectively . a third pipe c can drain off 42 liters of water per minute . if all the pipes are opened , the tank can be filled in 15 minutes . what is the capacity of the tank ?
A.542.
B.504.
C.548.
D.829.
e ) 279B.
"1 / 12 + 1 / 15 - 1 / x = 1 / 15 x = 12 12 * 42 = 504 answer : b" | null |
Question: if i walk at 4 km / h , i miss the bus by 10 minutes . if i walk at 5 km / h , i reach 5 minutes before the arrival of the bus . how far i walk to reach the bus stand ?
A.5 km.
B.4.5 km.
C.5 1 β 4 km / h.
D.can not be determined.
e ) none of theseA.
"d = product of speed difference of time / difference of speed d = 4 Γ 5 / 60 [ 10 β ( β 5 ) / 5 β 4 ] [ here , β ve sign indicates before the schedule time ] β d = 5 km answer a" | null |
Question: a jogger running at 9 kmph along side a railway track is 260 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction . in how much time will the train pass the jogger ?
A.3.6 sec.
B.38 sec.
C.36 sec.
D.72 sec.
e ) none of theseB.
"speed of train relative to jogger = ( 45 β 9 ) km / h = 36 km / h = ( 36 Γ 5 β 18 ) m / sec = 10 m / sec distance to be covered = ( 260 + 120 ) m = 380 m . β΄ time taken = ( 380 β 10 ) sec = 38 sec . answer b" | null |
Question: mr . evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children . if mr . evans has 2 children and 6 grandchildren , then approximately what percentage of mr . evans estate will each grandchild receive ?
A.20 %.
B.17 %.
C.5.5 %.
D.3.3 %.
e ) 2.8 %C.
33.33 / 6 = 5.5 answer : c | null |
Question: find the quotient when total no . of divisors of 16 ! is divided by right most non - zero digit of 15 !
A.672.
B.682.
C.692.
D.745.
e ) 845A.
first find the factors of 16 ! and then divide with non zero digit of 15 ! factors of 16 ! prime no below 16 are 2 3 5 7 11 13 now highest power of 2 in 16 ! is 15 3 is 65 is 37 is 211 , is 113 is 1 so no of factors is 16 * 7 * 4 * 3 * 2 * 2 = 5376 now last digit in 15 ! it can be written as 2 ^ 11 * 3 ^ 6 * 5 ^ 3 * 7 ^ 2 * 11 ^ 1 * 13 * 1 5 ^ 3 * 2 ^ 3 gives 0 so remaining is 2 ^ 3 = 8 therefore 5376 / 8 = 672 answer : a | null |
Question: if the wheel is 14 cm then the number of revolutions to cover a distance of 1408 cm is ?
A.A.16.
B.B.10.
C.C.14.
D.D.12.
e ) e ) 11A.
"2 * 22 / 7 * 14 * x = 1408 = > x = 16 answer : a" | null |
Question: calculate the area of a triangle , if the sides of are 65 cm , 60 cm and 25 cm , what is its area ?
A.850 cm 2.
B.750 cm 2.
C.450 cm 2.
D.550 cm 2.
e ) 650 cm 2B.
"the triangle with sides 65 cm , 60 cm and 25 cm is right angled , where the hypotenuse is 65 cm . area of the triangle = 1 / 2 * 60 * 25 = 750 cm 2 answer : b" | null |
Question: if an object travels at 9 feet per second , how many feet does it travel in one hour ?
A.32400.
B.30000.
C.32000.
D.1800.
e ) 22000A.
"if an object travels at 5 feet per second it covers 9 x 60 feet in one minute , and 9 x 60 x 60 feet in one hour . answer = 32400 answer : a" | null |
Question: the admission charge in a water park is $ 1 by adult and $ 0.75 by child accompanying an adult . how much was there of child with an adult who paid in quite $ 3.25 to have access to the water park ?
A.1.
B.2.
C.3.
D.4.
e ) 5C.
a = # of adults price for on adult = $ 1.00 e = # of kids price for on kid ( accompanying an adult ) = $ 0.75 t = total ( $ ) $ 3.25 t = price for an adult * a + price for on kid * e 3.25 = $ 1 * a + $ 0.75 * e 3.25 = a + $ 0.75 * e because the kids have to be accompanying by an adult , a = 1 $ 3.25 = 1 + $ 0.75 * e $ 3.25 - 1 = 1 - 1 + $ 0.75 * e $ 2.25 = $ 0.75 * e $ 2.25 / $ 0.75 = ( $ 0.75 * e ) / $ 0.75 3 = e = number of kids accompanying an adult . correct option : c ) 3 kids | null |
Question: mr . evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children . if mr . evans has 3 children and 5 grandchildren , then approximately what percentage of mr . evans estate will each grandchild receive ?
A.20 %.
B.17 %.
C.5.0 %.
D.3.3 %.
e ) 2.8 %C.
"25 / 5 = 5 answer : c" | null |
Question: the l . c . m of two numbers is 495 and their h . c . f is 5 . if the sum of the numbers is 100 , then their difference is
A.19.
B.10.
C.28.
D.27.
e ) 29B.
"let the numbers be x and ( 100 - x ) . then , \ inline \ fn _ jvn \ rightarrow \ inline \ fn _ jvn x ^ { 2 } - 100 x + 2475 = 0 \ inline \ fn _ jvn \ rightarrow ( x - 55 ) ( x - 45 ) = 0 \ inline \ fn _ jvn \ rightarrow x = 55 or x = 45 \ inline \ fn _ jvn \ therefore the numbers are 45 and 55 required difference = ( 55 - 45 ) = 10 answer : b" | null |
Question: what is the sum of the greatest common factor and the lowest common multiple of 48 and 72
A.126.
B.184.
C.168.
D.154.
e ) 186C.
"prime factorization of 72 = 2 x 2 x 2 x 3 x 3 prime factorization of 48 = 2 x 2 x 2 x 2 x 3 gcf = 24 lcm = 144 sum = 168 ans : c" | null |
Question: the area of a square is 4225 sq cm . find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square .
A.5 : 28.
B.5 : 19.
C.5 : 12.
D.5 : 13.
e ) 41 : 130E.
"let the length and the breadth of the rectangle be l cm and b cm respectively . let the side of the square be a cm . a 2 = 4225 a = 65 l = 2 a and b = a - 24 b : l = a - 24 : 2 a = 41 : 130 answer : e" | null |
Question: jisha walked for 3 days . she walked 18 miles on the first day , walking 3 miles per hour . on the second day she walked for one less hour but she walked one mile per hour , faster than on the first day . on the third day she walked the same number of hours as on the first day , but at the same speed as on the second day . how many miles in total did she walk ?
A.24.
B.44.
C.58.
D.60.
e ) 62E.
jisha walked 18 miles on the first day , walking 3 miles per hour i . e . total time of walk on day - 1 = 18 / 3 = 6 hours second day time of walk = 6 - 1 = 5 hours and speed = 3 + 1 = 4 miles per hour i . e . distance walked on second day = 5 * 4 = 20 miles third day time of walk = 6 hours and speed = 4 miles per hour i . e . distance walked on second day = 6 * 4 = 24 miles total distance travelled on three days = 18 + 20 + 24 = 62 answer : option e | null |
Question: the spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls . the diameters of two of these are 1 1 / 2 cm and 2 cm respectively . the diameter of third ball is ?
A.2.8.
B.2.5.
C.2.2.
D.2.0.
e ) 2.1B.
"4 / 3 Ο * 3 * 3 * 3 = 4 / 3 Ο [ ( 3 / 2 ) 3 + 23 + r 3 ] r = 1.25 d = 2.5 answer : b" | null |
Question: thirty percent of the members of a swim club have passed the lifesaving test . among the members who have not passed the test , 21 have taken the preparatory course and 42 have not taken the course . how many members are there in the swim club ?
A.40.
B.60.
C.80.
D.90.
e ) 140D.
"30 % of the members have passed the test , thus 70 % have not passed the test . we also know that 42 + 21 = 63 members have not passed the test , thus 0.7 * total = 63 - - > total = 90 . answer : d ." | null |
Question: ravi purchased a refrigerator and a mobile phone for rs . 15000 and rs . 8000 respectively . he sold the refrigerator at a loss of 2 percent and the mobile phone at a profit of 10 percent . overall he make a .
A.228.
B.288.
C.500.
D.200.
e ) 881C.
"let the sp of the refrigerator and the mobile phone be rs . r and rs . m respectively . r = 15000 ( 1 - 2 / 100 ) = 15000 - 300 m = 8000 ( 1 + 10 / 100 ) = 8000 + 800 total sp - total cp = r + m - ( 15000 + 8000 ) = - 300 + 800 = rs . 500 as this is positive , an overall profit of rs . 500 was made . answer : c" | null |
Question: on a map the distance between two mountains is 312 inches . the actual distance between the mountains is 136 km . ram is camped at a location that on the map is 28 inch from the base of the mountain . how many km is he from the base of the mountain ?
A.14.83.
B.12.2.
C.14.8.
D.14.82.
e ) 14.12B.
"explanation : since 312 inch = 136 km so 1 inch = 136 / 312 km so 28 inch = ( 136 Γ£ β 28 ) / 312 = 12.2 km answer : b" | null |
Question: positive integer y is 50 percent of 25 percent of positive integer x , and y percent of x equals 100 . what is the value of y ?
A.50.
B.125.
C.200.
D.1,000.
e ) 2,000B.
y = 50 % of 25 % 0 f x = x / 8 and y / 100 of x = 100 y / 100 * 8 y = 100 y = 125 answer - b | null |
Question: in simple interest what sum amounts of rs . 1120 / - in 4 years and rs . 1200 / - in 5 years ?
A.rs . 500.
B.rs . 600.
C.rs . 800.
D.rs . 900.
e ) rs . 700C.
for 1 year interest = 1200 - 1120 = 80 for 4 year 320 then sum = 1120 - 320 = 800 answer : c | null |
Question: if 9 a - b = 10 b + 50 = - 12 b - 2 a , what is the value of 11 a + 11 b ?
A.- 4.
B.- 2.
C.0.
D.2.
e ) 4C.
this implies 9 a - b = 10 b + 50 , 9 a - b = - 12 b - 2 a , 10 b + 50 = - 12 b - 2 a manipulating the second equation gives us 9 a - b = - 12 b - 2 a = = > 11 a + 11 b = 0 answer is c | null |
Question: the current of a stream runs at the rate of 4 kmph . a boat goes 6 km and back to the starting point in 2 hours , then find the speed of the boat in still water ?
A.5.
B.6.
C.8.
D.4.
e ) 1C.
s = 4 m = x ds = x + 4 us = x - 4 6 / ( x + 4 ) + 6 / ( x - 4 ) = 2 x = 8 answer : c | null |
Question: cathy and jim begin running at the same time and they start at the same place on a straight path . cathy runs at 10 miles per hour , and jim runs at 6 miles per hour . after 18 minutes , cathy stops to stretch . if it takes cathy 27 minutes to stretch and jim continues to run during this time , how many minutes will it take cathy to catch up to jim ?
A.20.5.
B.21.5.
C.22.5.
D.23.5.
e ) 24.5C.
in 18 minutes , cathy runs 3 miles . in 45 minutes , jim runs 4.5 miles . cathy can catch jim at a rate of 4 miles per hour . since jim is ahead by 1.5 miles , it will take cathy 1.5 / 4 hours = 22.5 minutes to catch jim . the answer is c . | null |
Question: the speed of a car is 65 km in the first hour and 45 km in the second hour . what is the average speed of the car ?
A.72 kmph.
B.55 kmph.
C.50 kmph.
D.80 kmph.
e ) 82 kmphB.
"s = ( 65 + 45 ) / 2 = 55 kmph answer : b" | null |
Question: set x consists of all two - digit primes and set y consists of all positive multiples of 4 less than 100 . if the two sets are combined into one , what will be the range of the new set ?
A.84.
B.93.
C.90.
D.92.
e ) 95B.
"set x = { 11 , 13 , 17 , . . . . . . . . . . . . . , 83 , 89 , 97 } set y = { 4 , 8 , 12 , . . . . . . . . . . . . . . . , 88 , 92 , 96 } combining two sets , say set z set z = { 4,8 , 11 , 12,13 , 17 , . . . . . . . . . . . . . . . . . . . , 83 , 88 , 89 , 92 , 96 , 97 } range = max value - min value range ( z ) = 97 - 4 = 93 oa b is the answer ." | null |
Question: car z travels 50 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour , but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour . how many miles does car z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour ?
A.320.
B.375.2.
C.400.
D.408.3.
e ) 440C.
"the question stem asks us for the distance possible with 10 gallons of fuel at a constant speed of 60 miles per hour . we therefore first calculate the fuel efficiency at that speed . the stem tells us that at 50 miles / hour , the car will run 40 miles / gallon and at 60 miles / hour , that distance decreases by 20 % . we can therefore conclude that the car will travel 40 miles / gallon at a constant speed of 60 miles / gallon . with 10 gallons of fuel , the car can therefore travel 40 miles / gallon * 10 gallons = 400 miles . answer c ." | null |
Question: 30 % of employees are women with fair hair . 40 % of fair - haired employees are women . what percent of employees have fair hair ?
A.25.
B.30.
C.50.
D.55.
e ) 75E.
"i came up with ( e ) 75 think of 100 people total : from the first fact , 30 of these are women with fair hair . from the second fact , these 20 women make up 40 % of the total fair haired population . we can then make a ratio of 60 : 40 fair haired men to fair haired women . this means that ( 60 / 40 ) * 30 equals the number of fair haired men , which is 45 men with fair hair . add this 45 to the 30 women and get 75 fair haired men and women out of 100 total men and women . 75 % e" | null |
Question: the mean daily profit made by a shopkeeper in a month of 30 days was rs . 350 . if the mean profit for the first fifteen days was rs . 255 , then the mean profit for the last 15 days would be
A.rs . 200.
B.rs . 445.
C.rs . 275.
D.rs . 425.
e ) none of theseB.
"average would be : 350 = ( 255 + x ) / 2 on solving , x = 445 . answer : b" | null |
Question: a rectangle the length of which is 8 inches and the width of which is 6 inches is made up 48 1 inch by 1 inch squares . through how many of the squares does a diagonal of the rectangle pass ?
['A.6', 'B.8', 'C.10', 'D.12', 'e ) 16']D.
1 ) if the two sides are co - prime , sum of sides - 1 . . 2 ) and if not co - prime , sum of sides - hcf of sides . . the difference is related to the diagonal passing through a vertex of squares at some place . . here 6 and 8 are not co - primes , so ans = 6 + 8 β hcf ( 6,8 ) = 14 β 2 = 12 answer : d | null |
Question: if x + y = 3 and x 2 y 3 + y 2 x 3 = 27 , what is the value of xy ?
A.1.
B.2.
C.3.
D.4.
e ) 5C.
"xy = 3 as x + y = 3 x 2 y 3 + y 2 x 3 = 27 x 2 y 2 ( y + x ) = 27 substituting x + y x 2 y 2 = 9 xy = 3 answer : c" | null |
Question: the balance of a trader weighs 10 % less than it should . still the trader marks up his goods to get an overall profit of 20 % . what is the mark up on the cost price ?
A.40 %.
B.8 %.
C.25 %.
D.16.66 %.
e ) 9 %B.
"original cost before weight adjustment : x cost after 90 % weight adjustment : 9 / 10 x 20 % profit on 9 / 10 x : ( 120 / 100 ) ( 9 / 10 ) ( x ) or 108 x / 100 mark up on original cost of x : ( 108 x / 100 ) / x - 1 = 8 / 100 answer : b" | null |
Question: water is leaking out from a cylinder container at the rate of 0.31 m ^ 3 per minute . after 10 minutes , the water level decreases 16 meters . what is value of the radius in meters ?
A.1 / 2.
B.1 / 3.
C.1 / 4.
D.1 / 6.
e ) 1 / 8C.
"10 * 0.31 = 3.1 = pi * r ^ 2 * h r ^ 2 = 3.1 / ( pi * 16 ) which is about 1 / 16 r = 1 / 4 the answer is c ." | null |
Question: working together , wayne and his son can shovel the entire driveway in three hours . if wayne can shovel six times as fast as his son can , how many hours would it take for his son to shovel the entire driveway on his own ?
A.4.
B.6.
C.8.
D.7.
e ) 12D.
"w : the time for wyane to do the job s : the time for his son to do the job we have 1 / w + 1 / s = 1 / 6 and w = 6 s then we have 1 / ( 6 * s ) + 1 / s = 1 / 6 < = > 7 / ( 6 * s ) = 1 / 6 < = > s = 7 ans : d" | null |
Question: a 600 meter long train crosses a signal post in 40 seconds . how long will it take to cross a 7.2 kilometer long bridge , at the same speed ?
A.4 min.
B.2 min.
C.8 min.
D.9 min.
e ) 3 minC.
"s = 600 / 40 = 15 mps s = 7200 / 15 = 480 sec = 8 min . answer : c" | null |
Question: a bag contains 6 black and 7 white balls . one ball is drawn at random . what is the probability that the ball drawn is white ?
A.4.
B.4 / 3.
C.4 / 5.
D.4 / 9.
e ) 7 / 13E.
"let number of balls = ( 6 + 7 ) = 13 . number of white balls = 7 . p ( drawing a white ball ) = 7 / 13 hence answer is e" | null |
Question: a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 100 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?
A.71.5.
B.72.
C.72.5.
D.73.
e ) 94.7E.
"many approaches are possible , one of them : let the distance be 1 kilometer . time to cover this distance at 100 kilometers per hour is 1 / 100 hours = 3,600 / 100 seconds = 36 seconds ; time to cover this distance at regular speed is 36 + 2 = 38 seconds = 38 / 3,600 hours = 4 / 379 hours ; so , we get that to cover 1 kilometer 1 / ( 4 / 379 ) hours is needed - - > regular speed 94.7 kilometers per hour ( rate is a reciprocal of time or rate = distance / time ) . answer : e ." | null |
Question: how many multiples of 4 are there between 4 and 64 ?
A.12.
B.64.
C.14.
D.16.
e ) 60C.
"it should be mentioned whether 4 and 64 are inclusive . if 4 and 64 are inclusive , then the answer is ( 64 - 4 ) / 4 + 1 = 16 . if 4 and 64 are not inclusive , then the answer is ( 60 - 8 ) / 4 + 1 = 14 . since oa is c , then we have not inclusive case ." | null |
Question: points a , b , c , and d , in that order , lie on a line . if ab = 3 cm , ac = 4 cm , and bd = 8 cm , what is cd , in centimeters ?
A.7.
B.2.
C.3.
D.4.
e ) 5A.
"putting a value to each point , lets use the following : a - 0 b - 3 ( ab = 3 ) c - 4 ( ac = 4 ) d - 11 ( bd = 8 ) cd is 11 - 4 = 7 . ans a" | null |
Question: a can do a piece of work in 5 hours ; b and c together can do it in 3 hours , while a and c together can do it in 2 hours . how long will b alone take to do it ?
A.30.
B.20.
C.10.
D.6.
e ) 5A.
"a ' s 1 hour ' s work = 1 / 5 ; ( b + c ) ' s 1 hour ' s work = 1 / 3 ; ( a + c ) ' s 1 hour ' s work = 1 / 2 . ( a + b + c ) ' s 1 hour ' s work = ( 1 / 5 + 1 / 3 ) = 8 / 15 . b ' s 1 hour ' s work = ( 8 / 15 - 1 / 2 ) = 1 / 30 . therefore a alone will take 30 hours to do the work . a" | null |
Question: there is a 10 % chance that tigers will not win at all during the whole season . there is a 20 % chance that federer will not play at all in the whole season . what is the greatest possible probability that the tigers will win and federer will play during the season ?
A.55 %.
B.60 %.
C.70 %.
D.72 %.
e ) 80 %E.
"there is a 10 % chance that tigers will not win at all during the whole season we can infer that there is 90 % chance tigers will win . similarly there is a 20 % chance that federer will not play at all in the whole season we can also infer that there is 80 % chance that federer will play . answer e" | null |
Question: lally ' s internet provider offers unlimited traffic which costs $ 0.5 per day charged off at 12 a . m . the service is discontinued when client ' s debt exceeds $ 5 . if today in the morning lally makes a payment of $ 7 , for how many days , including today , will she be connected to the internet without any additional payments , given her initial balance was $ 0 ?
A.15.
B.24.
C.25.
D.26.
e ) 13C.
day 0 - payment of $ 7 is made in the morning ( after 12 am midnight ) day 1 onwards ( after 12 am midnight ) internet service will begin and will run for 7 * 2 = 14 days i . e . at the end of day 15 balance will be zero . now lally can still use the internet till her debt reaches $ 5 which means total of 5 * 2 = 10 days . now the question states for how many days , including today , will she be connected to the internet without any additional payments i . e . we will have to include day 0 also in our final answer . therefore total no . of days = 1 + 14 + 10 = 25 = c | null |
Question: a retailer bought a machine at a wholesale price of $ 108 and later on sold it after a 10 % discount of the retail price . if the retailer made a profit equivalent to 20 % of the whole price , what is the retail price of the machine ?
A.81.
B.100.
C.120.
D.135.
e ) 144E.
"my solution : wholesale price = 108 retail price , be = x he provides 10 % discount on retail price = x - 10 x / 100 this retail price = 20 % profit on wholesale price x - 10 x / 100 = 108 + 1 / 5 ( 108 ) x = 144 ; answer : e" | null |
Question: if n is the smallest integer such that 72 times n is the square of an integer , what is the value of n ?
A.2.
B.3.
C.6.
D.12.
e ) 24A.
"72 can written as = 2 * 2 * 2 * 3 * 3 - - > 2 ^ 3 * 3 ^ 2 - - - ( 1 ) so for 72 * n to be a square of an integer , the integer should have even powers to the prime numbers it composed of . here 2 already has even power - > so n has to be 3 to make the power of 2 in ( 1 ) even option a is correct" | null |
Question: in one day , juan sends keith 8 times as many messages as he sends laurence , and laurence sends missy 4.5 times as many messages as he receives from juan . if missy received 18 messages from laurence , how many messages does keith receive from juan ?
A.13.
B.26.
C.32.
D.48.
e ) 56C.
juan - - > laurence = x messages ; juan - - > keith = 8 x messages ( juan sends keith eight times as many messages as he sends laurence ) ; laurence - - > missy = 4.5 x = 18 ( laurence sends missy 4.5 times as many messages as he receives from juan ) . 4.5 x = 18 - - > x = 4 - - > 8 x = 32 . answer : c . | null |
Question: the area of a triangle will be when a = 1 m , b = 2 m , c = 3 m , a , b , c being lengths of respective sides .
['A.0 sq m', 'B.7 sq m', 'C.2 sq m', 'D.3 sq m', 'e ) 6 sq m']A.
s = ( 1 + 2 + 3 ) / 2 = 3 = > no triangle exists answer : a | null |
Question: edward earns $ 7.00 per hour for the first 40 hours he works per week , and twice this rate for overtime . if michael earned $ 210 last week , how many hours did he work ?
A.43.
B.44.
C.45.
D.46.
e ) 47C.
$ 7 * 40 + $ 12 * x = $ 210 - - > x = 5 hours . total working hours = 40 + 5 = 45 answer : c . | null |
Question: i bought two books ; for rs . 470 . 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.274.17.
B.280.17.
C.299.17.
D.266.17.
e ) 279.17A.
"x * ( 85 / 100 ) = ( 470 - x ) 119 / 100 x = 274.17 answer : a" | null |
Question: 18 women can complete a work in 7 days and 10 children take 14 days to complete the work . how many days will 5 women and 10 children take to complete the work ?
A.8 days.
B.6 days.
C.7 days.
D.9 days.
e ) 1 daysD.
"1 women ' s 1 day work = 1 / 126 1 child ' s 1 day work = 1 / 140 ( 5 women + 10 children ) ' s 1 day work = ( 5 / 126 + 10 / 140 ) = 1 / 9 5 women and 10 children will complete the work in 9 days . answer : d" | null |
Question: when positive integer x is divided by positive integer y , the remainder is 9 . if x / y = 96.45 , what is the value of y ?
A.96.
B.75.
C.48.
D.20.
e ) 12D.
"guys , one more simple funda . 5 / 2 = 2.5 now . 5 x 2 = 1 is the remainder 25 / 4 = 6.25 now . 25 x 4 = 1 is the remainder 32 / 5 = 6.4 now . 4 x 5 = 2 is the remainder given x / y = 96.45 and remainder is 9 so . 45 x y = 9 hence y = 20 ans d" | null |
Question: an employee β s annual salary was increased $ 5000 . if her new annual salary now equals $ 25000 what was the percent increase ?
A.15 %.
B.80 %.
C.20 %.
D.22 %.
e ) 24 %B.
new annual salary = $ 25000 salary increase = $ 5000 . original salary = $ 25000 - $ 5000 . = $ 20000 % increase = ( $ 15000 / $ 75000 ) * 100 = 80 % hence b . | null |
Question: it takes avery 3 hours to build a brick wall while tom can do it in 4 hours . if the two start working together and after an hour avery leaves , how much time will it take tom to complete the wall on his own ?
A.25 minutes ..
B.55 minutes ..
C.1 hour and 41 minutes.
D.1 hour and 35 minutes.
e ) 1 hour and 20 minutesC.
"avery ' s efficiency is 100 / 3 = 33 % tom ' s = 100 / 4 = 25 % they worked together for 1 hour and finished 58 % of the job remaining = 42 % tom will complete 25 % in 60 minutes , and 17 % in 60 * 17 / 25 minutes = 40.8 minutes time taken by tom to finish the remaining on his own = 60 + 40.8 = 100.8 minutes ( adjusting for 0.2 ) ~ 101 minutes answer : c" | null |
Question: of the 200 employees in a certain company , 30 percent will be relocated to city x and the remaining 70 percent will be relocated to city y . however , 40 percent of the employees prefer city y and 60 percent prefer city x . what is the highest possible number of employees who will be relocated to the city they prefer ?
A.115.
B.120.
C.140.
D.152.
e ) 165C.
120 prefer x ( group 1 ) ; 80 prefer y ( group 2 ) . city y needs 140 people : letall 80 who prefer y ( entire group 2 ) be relocated there , the rest 60 will be those who prefer x from group 1 ; city x needs 60 people : 120 - 60 = 60 from group 1 will be relocated to x , which they prefer . so , the highest possible number of employees who will be relocated to the city they prefer is 80 + 60 = 140 . answer : c . | null |
Question: the arithmetic mean and standard deviation of a certain normal distribution are 14.5 and 1.7 , respectively . what value is exactly 2 standard deviations less than the mean ?
A.10.5.
B.11.
C.11.1.
D.12.
e ) 12.5C.
"mean = 14.5 two standard deviations is 1.7 + 1.7 = 3.4 there could be two calues for this . mean + two standard deviations = 17.9 mean - two standard deviations = 11.1 answer choice has 11.1 and so c is the answer ." | null |
Question: divide rs . 1700 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together . a ' s share is ?
A.346.
B.425.
C.375.
D.337.
e ) 639B.
"a + b + c = 1700 a = 1 / 3 ( b + c ) ; b = 2 / 3 ( a + c ) a / ( b + c ) = 1 / 3 a = 1 / 4 * 1700 = > 425 answer : b" | null |
Question: the sector of a circle has radius of 24 cm and central angle 135 o . find its perimeter ?
A.91.5 cm.
B.11.5 cm.
C.104.6 cm.
D.92.5 cm.
e ) 99.5 cmC.
"perimeter of the sector = length of the arc + 2 ( radius ) = ( 135 / 360 * 2 * 22 / 7 * 24 ) + 2 ( 24 ) = 56.6 + 48 = 104.6 cm answer : c" | null |
Question: what is the x - intercept of a line that passes through the point ( 3 , 4 ) and has a slope of 2 ?
A.- 2.
B.- 1.
C.0.
D.1.
e ) 2D.
first , plot the point ( 3 , 4 ) on a graph . a slope of 2 means β up 2 , over 1 , β so plot this point on a graph , too . here β s the resulting graph : y over 1 up 2 ( 1 , 0 ) ( 2 , 2 ) ( 3 , 4 ) ( 4 , 6 ) x the line passes through the x - axis at 1 , making the correct answer d ) 1 | null |
Question: raja spends 35 % of his monthly income on household items , 20 % of his monthly income on buying cloths , 5 % of his monthly income on medicines and saves the remaining amount which is rs . 15000 . find his monthly income .
A.rs . 40000.
B.rs . 36000.
C.rs . 37500.
D.rs . 45000.
e ) none of theseC.
savings 40 % - 15000 expenditure 60 % - 22500 total - 37500 answer : c | null |
Question: what least number should be subtracted from 13600 such that the remainder is divisible by 87 ?
A.27.
B.29.
C.28.
D.30.
e ) 31C.
"13600 Γ· 87 = 156 , remainder = 28 hence 28 is the least number which can be subtracted from 13600 such that the remainder is divisible by 87 answer is c" | null |
Question: four bells commence tolling together and toll at intervals of 2 , 4 , 6 , 8 seconds respectively . in 18 minutes , how many times do they toll together ?
A.43.
B.44.
C.45.
D.46.
e ) 47C.
"lcm of 2 , 4 , 6 , 8 is 24 . so , after each 24 seconds , they would toll together . hence , in 18 minutes , they would toll 18 * 60 seconds / 24 seconds = 45 times but then the question says they commence tolling together . so , they basically also toll at thebeginning ( 0 second ) . so , total tolls together = 45 + 1 = 46 answer c" | null |
Question: what percent of 150 is 40 ?
A.0.25 %.
B.26.67 %.
C.25 %.
D.40 %.
e ) 250 %B.
"150 * x / 100 = 40 x = 2 * 40 / 3 x = 26.67 ans : b" | null |
Question: list k consists of 12 consecutive integers . if - 5 is the least integer in list k , what is the range of the positive integers in list k ?
A.5.
B.6.
C.7.
D.11.
e ) 12A.
"answer = a = 5 if least = - 5 , then largest = 6 range = 6 - 1 = 5" | null |
Question: a dishonest dealer professes to sell goods at the cost price but uses a weight of 920 grams per kg , what is his percent ?
A.22 %.
B.25 %.
C.77 %.
D.99 %.
e ) 8.7 %E.
"920 - - - 80 100 - - - ? = > 8.7 % answer : e" | null |
Question: a man cheats while buying as well as while selling . while buying he takes 10 % more than what he pays for and while selling he gives 20 % less than what he claims to . find the profit percent , if he sells at 10 % below the cost price of the claimed weight .
A.19.81 %.
B.20 %.
C.37.5 %.
D.23.75 %.
e ) 37.5 %D.
"there is a one step calculation method too . it requires more thought but is faster . the man takes 10 % more than what he pays for . so if he claims to take 100 pounds , he pays $ 100 but he actually takes 110 pounds for which he will take from the customer $ 110 . hence , in effect , there is a 10 % mark up . while selling , he sells 20 % less . this means , he claims to sell 100 pounds and gets $ 100 but actually sells only 80 pounds and should have got only $ 80 for it . so this is again a mark up of $ 20 on $ 80 which is 25 % . but he also sells at 10 % less ( 1 + m 1 % ) ( 1 + m 2 % ) ( 1 - d % ) = ( 1 + p % ) 11 / 10 * 5 / 4 * 9 / 10 = ( 1 + p % ) profit % = 23.75 % d" | null |
Question: a case contains c cartons . each carton contains b boxes , and each box contains 600 paper clips . how many paper clips are contained in 2 cases ?
A.600 bc.
B.600 b / c.
C.1200 bc.
D.1200 b / c.
e ) 1200 / bcC.
2 cases * c cartons / case * b boxes / carton * 600 clips / box = 1200 bc paper clips the answer is c . | null |
Question: an army β s recruitment process included n rounds of selection tasks . for the first a rounds , the rejection percentage was 60 percent per round . for the next b rounds , the rejection percentage was 50 percent per round and for the remaining rounds , the selection percentage was 70 percent per round . if there were 10000 people who applied for the army and 350 were finally selected , what was the value of n ?
A.4.
B.5.
C.6.
D.9.
e ) 8D.
"fastly i reduce 60 % till it gets closer to our required 2000 candidates step ( 1 ) 40000 accepted . step ( 2 ) another 40 % of 40000 = 16000 accepted . here it is quiet observable that if we further deduct candidate by 60 % it would change our probablity of easy going 2000 candidate . so i would get to second stage of recruitment where 50 % is accepted step ( 3 ) 50 % of 16000 = 8000 step ( 4 ) 50 % of 8000 = 4000 step ( 5 ) 50 % of 4000 = 2000 step ( 6 ) 50 % of 2000 = 1000 step ( 7 ) 50 % of 1000 = 500 last step of accepting 70 % of 500 = 350 ( our target ) total 8 steps required . ans d" | null |
Question: the number 133 is equal to the sum of the cubes of two integers . what is the product of those integers ?
A.8.
B.15.
C.21.
D.27.
e ) 10E.
"2 ^ 3 + 5 ^ 3 = 133 the number is 2 * 5 = 10 e" | null |
Question: a ladder 30 feet long is leaning against a wall that is perpendicular to level ground . the bottom of the ladder is 10 feet from the base of the wall . if the top of the ladder slips down 5 feet , how many feet will the bottom of the ladder slip ?
A.14.
B.15.
C.18.92.
D.19.
e ) 25C.
30 ^ 2 - 10 ^ 2 = 800 it means that the height is equal to 28.28 . since the top of the ladder slips down 5 feet , then the height of the wall = 28.28 - 5 = 23.28 the bottom = sqrt ( 30 ^ 2 - 23.28 ^ 2 ) = sqrt ( 900 - 541.95 ) = 18.92 ans is c | null |
Question: if 3 workers collect 48 kg of cotton in 4 days , how many kg of cotton will 9 workers collect in 2 days ?
A.88 kg.
B.65 kg.
C.72 kg.
D.44 kg.
e ) 55 kgC.
( 3 * 4 ) / 48 = ( 9 * 2 ) / x x = 72 kg answer : c | null |
Question: a number divided by 34 leaves remainder 37 what is the remainder when same number divided by 9
A.7.
B.8.
C.9.
D.0.
e ) 1D.
"add 34 + 37 = 72 now 72 divided by 9 so we get 0 as reaminder answer : d" | null |
Question: a certain article of clothing was discounted during a special sale to 3 / 4 of its original retail price . when the clothing did n ' t sell , it was discounted even further to 1 / 3 of its original retail price during a second sale . by what percent did the price of this article of clothing decrease from the first sale to the second sale ?
A.50 %.
B.33.33 %.
C.25 %.
D.55.55 %.
e ) 12.5 %D.
"say the original retail price of the item was $ 200 . the price after the first sale = 3 / 4 * $ 200 = $ 150 . the price after the second sale = 1 / 3 * $ 200 = $ 200 / 3 . the percent change from the first sale to the second = ( 150 - 200 / 3 ) / 150 = 1 / 3 = 55.55 % . answer : d ." | null |
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