Cheukting/mathqa huggingface dataset:
Question (probability): how many different ways can 2 students be seated in a row of 5 desks , so that there is always at least one empty desk between the students ?
Options: a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 12
Rationale: "6 ways to seat the students : with two empty seats between 1 empty w / one student on the left most 1 empty . . . . right most two students can be interchanged 6 x 2 = 12 e"
Answer: e
Question (general): he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 70 kg . what might be the weight of the new person ?
Options: a ) 90 kg , b ) 55 kg , c ) 45 kg , d ) 85 kg , e ) 25 kg
Rationale: "explanation : total weight increased = ( 8 x 2.5 ) kg = 20 kg . weight of new person = ( 70 + 20 ) kg = 90 kg . answer : a"
Answer: a
Question (general): if the function q is defined by the formula q = 5 w / ( 4 h ( z ^ 2 ) ) , by what factor will q be multiplied if w is quadrupled , h is doubled , and z is tripled ?
Options: a ) 1 / 9 , b ) 2 / 9 , c ) 4 / 9 , d ) 3 / 9 , e ) 2 / 27
Rationale: "we just need to find the factor thats all , w - > quadrupled - > 4 w h - > doubled - > 2 h z - > tripled - > 3 z hence , z ^ 2 = 9 z ^ 2 w is in numerator , and h * z in denominator . hence , additional factor being introduced = 4 / 2 * 9 = 4 / 18 = 2 / 9 = b"
Answer: b
Question (general): ( 856942 x 555 ) = ?
Options: a ) 484638125 , b ) 474638130 , c ) 474638135 , d ) 475602810 , e ) 484638145
Rationale: 856942 x 555 = 475602810 ans d
Answer: d
Question (physics): the radius of a wheel is 20.4 cm . what is the distance covered by the wheel in making 400 resolutions ?
Options: a ) 512.448 m , b ) 704 m , c ) 510.448 m , d ) 706 m , e ) 204 m
Rationale: "in one resolution , the distance covered by the wheel is its own circumference . distance covered in 400 resolutions . = 400 * 2 * 22 / 7 * 20.4 = 51244.8 cm = 512.448 m answer : a"
Answer: a
Question (general): a , b , c and d enter into partnership . a subscribes 1 / 3 of the capital b 1 / 4 , c 1 / 5 and d the rest . how much share did c get in a profit of rs . 2490 ?
Options: a ) s . 332 , b ) s . 498 , c ) s . 822 , d ) s . 812 , e ) s . 810
Rationale: "let the total amount in the partnership be ' x ' . then a ' s share = x / 3 b ' s share = x / 4 c ' s share = x / 5 d ' s share = x - ( x / 3 + x / 4 + x / 5 ) = 13 x / 60 a : b : c : d = x / 3 : x / 4 : x / 5 : 13 x / 60 = 20 : 15 : 12 : 13 c ' s share in the profit of rs . 2490 = 12 ( 2490 / 60 ) = rs . 498 . answer : b"
Answer: b
Question (gain): a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 % . during the new year season , it further marked up its prices by 25 % of the original retail price . in february , the store then offered a discount of 20 % . what was its profit on the items sold in february ?
Options: a ) 20 % , b ) 30 % , c ) 35 % , d ) 37.5 % , e ) 40 %
Rationale: "assume the total price = 100 x price after 20 % markup = 120 x price after 25 % further markup = 1.25 * 120 x = 150 x price after the discount = 0.8 * 150 x = 120 x hence total profit = 20 % option a"
Answer: a
Question (gain): if the cost price of 50 articles is equal to the selling price of 20 articles , then the gain or loss percent is ?
Options: a ) 16 , b ) 127 , c ) 12 , d ) 18 , e ) 150
Rationale: "percentage of profit = 30 / 20 * 100 = 150 % answer : e"
Answer: e
Question (gain): what is rate of interest if principal . amount be 400 , simple interest 160 and time 2 year .
Options: a ) 10 , b ) 12.5 , c ) 20 , d ) 12 , e ) 14.5
Rationale: s . i = ( p * r * t ) / 100 160 = 800 r / 100 r = 160 / 8 = 20 % answer c
Answer: c
Question (physics): on her annual road trip to visit her family in seal beach , california , traci stopped to rest after she traveled 1 ⁄ 2 of the total distance and again after she traveled 1 ⁄ 4 of the distance remaining between her first stop and her destination . she then drove the remaining 200 miles and arrived safely at her destination . what was the total distance , in miles , from traci ’ s starting point to seal beach ?
Options: a ) 250 , b ) 300 , c ) 800 , d ) 400 , e ) 550
Rationale: "let d = total distance traci traveled 1 / 2 = d / 2 i . e . remaining distance = d / 2 she traveled 1 / 4 th of d / 2 = d / 8 thus : d = ( d / 2 ) + ( d / 8 ) + 200 d = 800 answer : c"
Answer: c
Question (geometry): the radius of a sphere is increased by 50 % . the increase in surface area of the sphere is :
Options: a ) 168 , b ) 125 , c ) 186 , d ) 197 , e ) 191
Rationale: "explanation : take radius 100 . then surface area is 4 × π π × 100 × 100 . after increase radius by 50 % the radius becomes 100 + 50 % of 100 = 150 then new surface area is 4 × π π × 150 × 150 then put the values into formula of percentage = 4 π 1502 − 4 π 10024 π 1002 × 1004 π 1502 − 4 π 10024 π 1002 × 100 = 125 % answer : b"
Answer: b
Question (physics): 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 ?
Options: a ) 5.98 , b ) 3.98 , c ) 3.54 , d ) 3.87 , e ) 3.82
Rationale: "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"
Answer: c
Question (general): 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 ?
Options: a ) 1 , b ) 3 , c ) 5 , d ) 7 , e ) 9
Rationale: "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"
Answer: b
Question (general): 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 ?
Options: a ) 4 , b ) 8 , c ) 6 , d ) 7 , e ) 5
Rationale: 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 ) . . .
Answer: b
Question (other): if p and q are both odd prime numbers andp < q , then how many different positive integer factors does 2 pqhave ?
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12
Rationale: 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
Answer: d
Question (general): 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 .
Options: a ) 13 , b ) 12.6 , c ) 11.25 , d ) 12 , e ) 13
Rationale: "explanation : solution : present average = ax + by / a + b = 25 * 12 + 15 * 10 / 25 + 15 years = 300 + 150 / 40 = > 450 / 40 = > 11.25 . answer : c"
Answer: c
Question (general): ? x 12 = 173 x 240
Options: a ) 3460 , b ) 685 , c ) 865 , d ) 495 , e ) 534
Rationale: "let y x 12 = 173 x 240 then y = ( 173 x 240 ) / 12 = 3460 answer : a"
Answer: a
Question (general): 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
Options: a ) 5.75 , b ) 6.75 , c ) 7.75 , d ) 8.75 , e ) 9.75
Rationale: 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
Answer: d
Question (general): what is the average ( arithmetic mean ) of the numbers 15 , 16 , 17 , 17 , 18 , and 19 ?
Options: a ) 14.2 , b ) 16.5 , c ) 17 , d ) 17.5 , e ) 18
Rationale: "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"
Answer: c
Question (other): 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
Options: a ) 7000 , b ) 9000 , c ) 8000 , d ) 9900 , e ) 7900
Rationale: ratio in which profit is divided = 2 : 3 assume that b ' s contribution to the capital = b 3500 × 12 : b × 7 = 2 : 3 ⇒ 3500 × 12 × 3 = 2 × b × 7 ⇒ b = 3500 × 12 × 3 / 2 × 7 = 500 × 6 × 3 = 9000 answer : b
Answer: b
Question (physics): 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 ?
Options: a ) 22 sec , b ) 23 sec , c ) 76 sec , d ) 20 sec , e ) 66 sec
Rationale: "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"
Answer: b
Question (physics): a train running at the speed of 60 km / hr crosses a pole in 7 sec . what is the length of the train ?
Options: a ) 112.21 , b ) 27.21 , c ) 117.66 , d ) 277 , e ) 116.66
Rationale: "speed = 60 * 5 / 18 = 50 / 3 m / sec length of the train = speed * time = 50 / 3 * 7 = 116.66 answer : e"
Answer: e
Question (geometry): 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 ?
Options: a ) 20
b ) 21
c ) 22
d ) 23
e ) 24
Rationale: 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 .
Answer: b
Question (physics): 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 :
Options: a ) 22 , b ) 50 , c ) 99 , d ) 288 , e ) 59
Rationale: 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
Answer: e
Question (gain): 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 ?
Options: a ) 137.5 % , b ) 142.5 % , c ) 147.5 % , d ) 152.5 % , e ) 157.5 %
Rationale: "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 ."
Answer: a
Question (physics): 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 ?
Options: a ) 11.04 , b ) 10.0 , c ) 6.85 , d ) 5.85 , e ) 6.15
Rationale: "t = ( 111 + 165 ) / ( 40 + 50 ) * 18 / 5 t = 11.04 answer : a"
Answer: a
Question (gain): 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 ?
Options: a ) 0 % , b ) 14 % , c ) 20 % , d ) 23 % , e ) 43 %
Rationale: "difference in ratios = ( 30 / 150 ) - ( 10 / 50 ) = 0 % change = 0 % answer - a"
Answer: a
Question (physics): 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
Options: a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9
Rationale: 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
Answer: a
Question (general): 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 =
Options: a ) 18 , b ) 29 , c ) 37 , d ) 44 , e ) 95
Rationale: "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"
Answer: e
Question (physics): 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 ?
Options: a ) 127 days , b ) 667 days , c ) 177 days , d ) 187 days , e ) 225 days
Rationale: 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
Answer: e
Question (gain): 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 .
Options: a ) 33 , b ) 75 , c ) 23 , d ) 20 , e ) 287
Rationale: 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 × m = 66 m = ( 66 × 100 ) / 88 m = 3 × 25 m = 75 therefore , total number of apples in the basket is 75 . answer : b
Answer: b
Question (gain): 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 ?
Options: a ) 18 , b ) 21.6 , c ) 22 , d ) 22.5 , e ) 24
Rationale: "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 ."
Answer: e
Question (physics): 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 ?
Options: a ) 5 mtrs , b ) 10 mtrs , c ) 12 mtrs , d ) 15 mtrs , e ) 18 mtrs
Rationale: 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
Answer: b
Question (general): what is the average of 4 tenths and 5 thousandths ?
Options: a ) 0.2022 , b ) 0.2012 , c ) 0.2025 , d ) 0.2021 , e ) 0.2029
Rationale: four tenths = 0.4 five thousandths = 0.005 the average is ( 0.4 + 0.005 ) / 2 = 0.2025 answer : c
Answer: c
Question (general): 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 :
Options: a ) 55 kg , b ) 53 kg , c ) 49 kg , d ) 52 kg , e ) 51 kg
Rationale: "explanation let a , b , c represent their respective weights . then , we have : a + b + c = ( 43 x 3 ) = 129 â € ¦ . ( i ) a + b = ( 48 x 2 ) = 96 â € ¦ . ( ii ) b + c = ( 42 x 2 ) = 84 â € ¦ . ( iii ) adding ( ii ) and ( iii ) , we get : a + 2 b + c = 180 â € ¦ . ( iv ) subtracting ( i ) from ( iv ) , we get : b = 51 . b â € ™ s weight = 51 kg . answer e"
Answer: e
Question (physics): 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 ?
Options: a ) 2 hours , b ) 2.4 hours , c ) 3 hours , d ) 3.5 hours , e ) 4.5 hours
Rationale: "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"
Answer: a
Question (physics): 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 ?
Options: a ) 80 , b ) 100 , c ) 150 , d ) 240 , e ) 300
Rationale: "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 ."
Answer: b
Question (physics): 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 ?
Options: a ) 10 th minute , b ) 21 st minute , c ) 17 th minute , d ) 22 nd minute , e ) 13 th minute
Rationale: 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
Answer: c
Question (general): the number 35 is equal to the sum of the cubes of two integers . what is the product of those integers ?
Options: a ) 6 , b ) 15 , c ) 21 , d ) 27 , e ) 39
Rationale: "2 ^ 3 + 3 ^ 3 = 35 therefore product is 2 * 3 = 6 a"
Answer: a
Question (gain): 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 ?
Options: a ) 9 % , b ) 10 % , c ) 11 % , d ) 12 % , e ) 13 %
Rationale: "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"
Answer: b
Question (physics): 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 ?
Options: a ) 542 , b ) 504 , c ) 548 , d ) 829 , e ) 279
Rationale: "1 / 12 + 1 / 15 - 1 / x = 1 / 15 x = 12 12 * 42 = 504 answer : b"
Answer: b
Question (physics): 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 ?
Options: a ) 5 km , b ) 4.5 km , c ) 5 1 ⁄ 4 km / h , d ) can not be determined , e ) none of these
Rationale: "d = product of speed difference of time / difference of speed d = 4 × 5 / 60 [ 10 − ( − 5 ) / 5 − 4 ] [ here , – ve sign indicates before the schedule time ] ⇒ d = 5 km answer a"
Answer: a
Question (physics): 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 ?
Options: a ) 3.6 sec , b ) 38 sec , c ) 36 sec , d ) 72 sec , e ) none of these
Rationale: "speed of train relative to jogger = ( 45 – 9 ) km / h = 36 km / h = ( 36 × 5 ⁄ 18 ) m / sec = 10 m / sec distance to be covered = ( 260 + 120 ) m = 380 m . ∴ time taken = ( 380 ⁄ 10 ) sec = 38 sec . answer b"
Answer: b
Question (general): 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 ?
Options: a ) 20 % , b ) 17 % , c ) 5.5 % , d ) 3.3 % , e ) 2.8 %
Rationale: 33.33 / 6 = 5.5 answer : c
Answer: c
Question (general): find the quotient when total no . of divisors of 16 ! is divided by right most non - zero digit of 15 !
Options: a ) 672 , b ) 682 , c ) 692 , d ) 745 , e ) 845
Rationale: 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
Answer: a
Question (physics): if the wheel is 14 cm then the number of revolutions to cover a distance of 1408 cm is ?
Options: a ) a ) 16 , b ) b ) 10 , c ) c ) 14 , d ) d ) 12 , e ) e ) 11
Rationale: "2 * 22 / 7 * 14 * x = 1408 = > x = 16 answer : a"
Answer: a
Question (geometry): calculate the area of a triangle , if the sides of are 65 cm , 60 cm and 25 cm , what is its area ?
Options: a ) 850 cm 2 , b ) 750 cm 2 , c ) 450 cm 2 , d ) 550 cm 2 , e ) 650 cm 2
Rationale: "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"
Answer: b
Question (physics): if an object travels at 9 feet per second , how many feet does it travel in one hour ?
Options: a ) 32400 , b ) 30000 , c ) 32000 , d ) 1800 , e ) 22000
Rationale: "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"
Answer: a
Question (geometry): 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 ?
Options: a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5
Rationale: 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
Answer: c
Question (general): 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 ?
Options: a ) 20 % , b ) 17 % , c ) 5.0 % , d ) 3.3 % , e ) 2.8 %
Rationale: "25 / 5 = 5 answer : c"
Answer: c