Cheukting/mathqa huggingface dataset:
Question (general): a family pays $ 800 per year for an insurance plan that pays 65 percent of the first $ 1,000 in expenses and 100 percent of all medical expenses thereafter . in any given year , the total amount paid by the family will equal the amount paid by the plan when the family ' s medical expenses total .
Options: a ) $ 1,000 , b ) $ 1,200 , c ) $ 1,400 , d ) $ 1,500 , e ) $ 2,200
Rationale: "upfront payment for insurance plan = 800 $ family needs to pay 35 % of first 1000 $ in expense = 350 $ total amount paid by family when medical expenses are equal to or greater than 1000 $ = 800 + 350 = 1150 $ total amount paid by insurance plan for first 1000 $ = 800 $ total amount paid by family will equal amount paid by plan when medical expense = 1500 $ ( since insurance plan will pay 100 % of amount that exceeds 1150 $ ) answer d"
Answer: d
Question (general): by how much is 3 - fifth of 390 greater than 4 - seventh of 210 ?
Options: a ) 90 , b ) 100 , c ) 110 , d ) 114 , e ) 130
Rationale: explanation : 3 / 5 of 390 - 4 / 7 of 210 = 234 - 120 = 114 . answer : d
Answer: d
Question (gain): if difference between compound interest and simple interest on a sum at 10 % p . a . for 2 years is rs . 51 then sum is
Options: a ) rs . 5000 , b ) rs . 5100 , c ) rs . 5800 , d ) rs . 6000 , e ) rs . 6200
Rationale: p ( r / 100 ) ^ 2 = c . i - s . i p ( 10 / 100 ) ^ 2 = 51 5100 answer : b
Answer: b
Question (geometry): a box measuring 27 inches long by 15 inches wide by 6 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ?
Options: a ) 90
b ) 180
c ) 210
d ) 240
e ) 864
Rationale: least number of cubes will be required when the cubes that could fit in are biggest . 3 is the biggest number that could divide all three , 27 , 15 and 6 . thus side of cube must be 3 , and total number of cubes = 27 / 3 * 15 / 3 * 6 / 3 = 90 ans a it is .
Answer: a
Question (general): if x is 30 percent more than y and y is 50 percent less than z , then x is what percent of z ?
Options: a ) 500 % , b ) 250 % , c ) 65 % , d ) 125 % , e ) 60 %
Rationale: "z = 100 ; y = 50 so x = 65 x as % of z = 65 / 100 * 100 = > 65 % answer will be ( c )"
Answer: c
Question (gain): in an examination 35 % of the students passed and 481 failed . how many students appeared for the examination ?
Options: a ) a ) 540 , b ) b ) 400 , c ) c ) 700 , d ) d ) 740 , e ) e ) 840
Rationale: "let the number of students appeared be x then , 65 % of x = 481 65 x / 100 = 481 x = 481 * 100 / 65 = 740 answer is d"
Answer: d
Question (physics): a certain number of men can do a work in 20 days . if there were 4 men more it could be finished in 5 days less . how many men are there ?
Options: a ) 10 , b ) 12 , c ) 15 , d ) 20 , e ) 18
Rationale: "original number of workers = 4 * ( 20 - 5 ) / 5 = 12 men answer is b"
Answer: b
Question (gain): a farmer spent $ 38 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a 20 % discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have spent on the chicken feed and goat feed combined ?
Options: a ) $ 37.80 , b ) $ 38.50 , c ) $ 39.20 , d ) $ 39.50 , e ) $ 41.80
Rationale: "a farmer spent 40 % money on chicken feed , so he spent 0.4 * $ 38 = $ 15.2 on chicken feed , thus he spent the remaining 38 - 15.2 = $ 22.8 on goat feed . now , since he bought chicken feed at a 20 % discount then the original price of it was x * 0.8 = $ 15.2 - - > x = $ 19 . therefore if the farmer had paid full price for both the chicken feed and the goat feed , then he would he have spent 19 + 22.8 = $ 41.8 . answer : e ."
Answer: e
Question (physics): 10 men and 15 women together can complete a work in 7 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 ) 350 days
Rationale: "1 man ' s 1 day work = 1 / 100 ( 10 men + 15 women ) ' s 1 day work = 1 / 7 15 women ' s 1 day work = ( 1 / 7 - 10 / 100 ) = 3 / 70 1 woman ' s 1 day work = 1 / 350 1 woman alone can complete the work in 350 days . answer : e"
Answer: e
Question (physics): a can do a work in 60 days . he works for 15 days and later b alone completes the work in 30 days . in what time will they together complete the work ?
Options: a ) 24 days , b ) 25 days , c ) 30 days , d ) 32 days , e ) none of these
Rationale: let a can do a work in = 1 / 60 days he does 15 days so work done by a in 15 days = ( 15 ) * ( 1 / 60 ) = 1 / 4 remaining work is = 1 - 1 / 4 = 3 / 4 b ' s one day work is = 1 / 30 so 3 / 4 work is done by b in = ( 3 / 4 ) * ( 1 / 30 ) = 1 / 40 days time require to complete the work is = 1 / 60 + 1 / 40 = 5 / 120 5 / 120 = 1 / 24 so 24 days require to complete the work together . answer : a
Answer: a
Question (physics): jerry and beth each drove from smallville to crown city by different routes . jerry drove an an average speed of 40 miles per hour and completed the trip in 30 minutes . beth ' s route was 5 miles longer , and it took her 20 minutes more than jerry to complete the trip . how many miles per hour was beth ' s average speed on this trip ?
Options: a ) 24 , b ) 30 , c ) 48 , d ) 54 , e ) 75
Rationale: speed = distance / time distance for jerry = speed * time = 40 * 1 / 2 = 20 miles distance for beth = distance for jerry + 5 = 20 + 5 = 25 miles time taken by beth = time taken by jerry + ( 1 / 3 hour ) = 1 / 2 + 1 / 3 = 5 / 6 speed of beth = d / t = 25 / ( 5 / 6 ) = 25 * 6 / 5 = 30 miles per hour hence , b is the answer .
Answer: b
Question (physics): a can do a work in 15 days and b in 20 days . if they work on it together for 3 days , then the fraction of the work that is left is
Options: a ) 8 / 17 , b ) 7 / 15 , c ) 3 / 15 , d ) 8 / 15 , e ) 13 / 20
Rationale: "person ( a ) ( b ) ( a + b ) time - ( 15 ) ( 20 ) ( - ) rate - ( 20 ) ( 15 ) ( 35 ) work - ( 300 ) ( 300 ) ( 300 ) therefore a + b requires ( 300 / 35 ) days to complete entire work for 1 st 4 days they work 35 * 3 = 105 remaining work is 300 - 105 = 195 remaining fraction of work is = 195 / 300 = 13 / 20 answer e"
Answer: e
Question (general): a certain company had a total annual expenditure of 1.47 ∗ 10 ^ 7 on employee salaries last year . if the company employed 420 people , what was the average employee salary ?
Options: a ) $ 20,000 , b ) $ 25,000 , c ) $ 35,000 , d ) $ 40,000 , e ) $ 45,000
Rationale: given : total annual expenditure of 1.47 ∗ 10 ^ 7 on employee salaries total employees = 420 observe that 420 * 3.5 = 1470 therefore try to bring the numerator in terms of 1470 average salary = ( 1470 * 10 ^ 4 ) / 420 = 3.5 * 10 ^ 4 = 35,000 option c
Answer: c
Question (physics): machine a can finish a job in 4 hours , machine в can finish the job in 12 hours , and machine с can finish the job in 8 hours . how many hours will it take for a , b , and с together to finish the job ?
Options: a ) 15 / 4 , b ) 18 / 7 , c ) 21 / 8 , d ) 24 / 11 , e ) 28 / 13
Rationale: "the combined rate is 1 / 4 + 1 / 12 + 1 / 8 = 11 / 24 of the job per hour . the time to complete the job is 24 / 11 hours . the answer is d ."
Answer: d
Question (geometry): the number 130 can be written as the sum of the squares of 2 different positive integers . what is the sum of these 2 integers ?
Options: a ) 17 , b ) 16 , c ) 15 , d ) 14 , e ) 13
Rationale: "11 ^ 2 + 3 ^ 2 = 130 - - > 11 + 3 = 14 . d"
Answer: d
Question (general): if 10000 microns = 1 decimeter , and 1000000000 angstroms = 1 decimeter , how many angstroms equal 1 micron ?
Options: a ) 0.01 , b ) 1 , 000,000 , c ) 0.001 , d ) 1,000 , e ) 1.0 e - 05
Rationale: given that 10,000 microns = 1 decimeter = 10,000 , 000,000 angstroms so , 1 micron = 10,000 , 000,000 / 10,000 = 1 , 000,000 answer : b
Answer: b
Question (physics): pipe a can fill a tank in 24 minutes . pipe b can fill the same tank 6 times faster than pipe a . if both the pipes are connected to the tank so that they fill the tank simultaneously , how long will it take for the empty tank to overflow ?
Options: a ) 4 minutes , b ) 32 / 7 minutes , c ) 192 / 7 minutes , d ) 3 minutes , e ) 28 minutes
Rationale: "pipe a can fill a tank in 24 minutes - - > the rate of a = 1 / 24 tank / minute ; pipe b can fill the same tank 6 times fasterthan pipe a - - > the rate of b = 1 / 24 + 6 / 24 = 7 / 24 tank / minute . their combined rate = 1 / 24 + 7 / 24 = 1 / 3 tank / minute ; therefore , a and b can fill the tank in 3 minutes . answer : d"
Answer: d
Question (general): if the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 24 , what is the value of r - p ?
Options: a ) 28 , b ) 10 , c ) 30 , d ) 40 , e ) 5
Rationale: "arithmetic mean expression for p and q : ( p + q ) / 2 = 10 ; p + q = 20 - - - - eq 1 arithmetic mean expression for q and r : ( q + r ) / 2 = 20 ; q + r = 48 - - - - eq 2 subtracting eq 1 from eq 2 we get : r - p = 28 hence , the correct answer is a"
Answer: a
Question (other): the ratio of three numbers is 6 : 7 : 5 and their sum is 108 . the second number of the three numbers is ?
Options: a ) 12 , b ) 42 , c ) 30 , d ) 36 , e ) none of these
Rationale: "explanation : 6 : 7 : 5 total parts = 18 18 parts - - > 108 1 part - - - - > 6 the second number of the three numbers is = 7 7 parts - - - - > 42 answer : option b"
Answer: b
Question (general): a room is 6 meters 24 centimeters in length and 4 meters 32 centimeters in width . find the least number of square tiles of equal size required to cover the entire floor of the room ?
Options: a ) 110 , b ) 124 , c ) 96 , d ) 117 , e ) 127
Rationale: "length = 6 m 24 cm = 624 cm width = 4 m 32 cm = 432 cm hcf of 624 and 432 = 48 number of square tiles required = ( 624 * 432 ) / ( 48 * 48 ) = 13 * 9 = 117 answer : d"
Answer: d
Question (general): the average of first five prime numbers greater than 61 is ?
Options: a ) 32.2 , b ) 32.98 , c ) 74.6 , d ) 32.8 , e ) 32.4
Rationale: "67 + 71 + 73 + 79 + 83 = 373 / 5 = 74.6 answer : c"
Answer: c
Question (physics): a man complete a journey in 10 hours . he travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr . find the total journey in km
Options: a ) 200 km , b ) 222 km , c ) 224 km , d ) 248 km , e ) none of these
Rationale: "explanation : let time taken to travel the first half = x hr then time taken to travel the second half = ( 10 - x ) hr distance covered in the the first half = 21 x [ because , distance = time * speed ] distance covered in the the second half = 24 ( 10 - x ) distance covered in the the first half = distance covered in the the second half so , 21 x = 24 ( 10 - x ) = > 45 x = 240 = > x = 16 / 3 total distance = 2 * 21 ( 16 / 3 ) = 224 km [ multiplied by 2 as 21 x was distance of half way ] option c"
Answer: c
Question (gain): calculate how many seconds it will take for 4 bells to toll together again , given that they begin to toll together respectively at the intervals of 9 , 10 , 14 and 18 seconds . ?
Options: a ) 636 , b ) 631 , c ) 633 , d ) 610 , e ) 630
Rationale: lcm of 9 , 10 , 14 and 18 is 630 lcm = 630 answer : e
Answer: e
Question (geometry): the size of a flat - screen tablet is given as the length of the screen ’ s diagonal . how many square inches greater is the screen of a square 8 - inch flat - screen tablet than a square 7 - inch flat - screen tablet ?
Options: a ) 7.6 , b ) 7.3 , c ) 7.2 , d ) 7.5 , e ) 8.0
Rationale: "if we take a square with side length x and draw a diagonal , we get two isosceles right triangles . if we focus on one such right triangle , we see that the legs have length x . square 8 - inch flat - screen television the diagonal ( hypotenuse ) = 8 so , we can apply the pythagorean theorem to get x ² + x ² = 8 ² simplify : 2 x ² = 8 ² divide both sides by 2 to get : x ² = 8 ² / 2 since the area of the square = x ² , we can see that the area of this square is 8 ² / 2 square 7 - inch flat - screen television the diagonal ( hypotenuse ) = 7 so , we can apply the pythagorean theorem to get x ² + x ² = 7 ² simplify : 2 x ² = 7 ² divide both sides by 2 to get : x ² = 7 ² / 2 since the area of the square = x ² , we can see that the area of this square is 7 ² / 2 difference in areas = 8 ² / 2 - 7 ² / 2 = ( 8 ² - 7 ² ) / 2 = ( 64 - 49 ) / 2 = 15 / 2 = 7.5 d"
Answer: d
Question (physics): if the wheel is 14 cm then the number of revolutions to cover a distance of 1672 cm is ?
Options: a ) 22 , b ) 28 , c ) 19 , d ) 12 , e ) 88
Rationale: "2 * 22 / 7 * 14 * x = 1672 = > x = 19 answer : c"
Answer: c
Question (general): if f ( f ( n ) ) + f ( n ) = 2 n + 3 , f ( 0 ) = 1 then f ( 2016 ) = ?
Options: a ) 2017 , b ) 2088 , c ) 270 , d ) 1881 , e ) 1781
Rationale: f ( f ( 0 ) ) + f ( 0 ) = 2 ( 0 ) + 3 ⇒ ⇒ f ( 1 ) = 3 - 1 = 2 , f ( 1 ) = 2 f ( f ( 1 ) ) + f ( 1 ) = 2 ( 1 ) + 3 ⇒ ⇒ f ( 2 ) = 5 - 2 = 3 , f ( 2 ) = 3 f ( f ( 2 ) ) + f ( 2 ) = 2 ( 2 ) + 3 ⇒ ⇒ f ( 3 ) = 7 - 3 = 4 , f ( 3 ) = 4 . . . . . . . . . . . . . . f ( 2016 ) = 2017 ans : a
Answer: a
Question (general): a box has exactly 100 balls , and each ball is either red , blue , or white . if the box has 12 more blue balls than white balls , and six times as many red balls as blue balls , how many white balls does the box has ?
Options: a ) 8 , b ) 10 , c ) 2 , d ) 14 , e ) 16
Rationale: "x = the number of red balls y = the number of blue balls z = the number of white balls from the first sentence we have equation # 1 : x + y + z = 100 . . . the box has 12 more blue balls than white balls . . . equation # 2 : y = 12 + z . . . thrice as many red balls as blue balls . . . equation # 3 : x = 6 y solve equation # 2 for z : z = y - 12 now , we can replace both x and z with y in equation # 1 6 y + y + ( y - 12 ) = 100 8 y - 12 = 100 5 y = 112 y = 14 there are 14 blue balls . this is 12 more than the number of white balls , so z = 2 . that ' s the answer . just as a check , x = 84 , and 84 + 14 + 2 = 100 . answer = 2 , ( c )"
Answer: c
Question (gain): 75 percent of andrea ' s living room floor is covered by a carpet that is 4 feet by 9 feet . what is the area of her living room floor ?
Options: a ) 48 , b ) 180 / 7 , c ) 50.4 , d ) 60 , e ) 90
Rationale: 75 % of area of the floor = 4 * 9 square feet = 36 square feet i . e . 100 % area of floor = ( 36 / 75 ) * 100 = 48 square feet answer : option a
Answer: a
Question (geometry): the radius of a sphere is increased by 10 % . the surface area increases by ?
Options: a ) 21 %
b ) 31 %
c ) 41 %
d ) 51 %
e ) none of these
Rationale: since 4 x pi x radius x radius = surface area . therefore , net % change in area = ( x + y + xy / 100 ) % = [ 10 + 10 + ( 10 x 10 ) / 100 ] % or 21 % . answer : a
Answer: a
Question (general): there are 408 boys and 264 girls in a school which are to be divided into equal sections of either boys or girls alone . find the total number of sections thus formed .
Options: a ) 28 , b ) 32 , c ) 35 , d ) 30 , e ) 45
Rationale: "explanation : hcf ( 408 , 264 ) = 24 the number of boys or girls that can be placed in a section = 24 . thus the total number of sections is given by 408 / 24 + 264 / 24 = 17 + 11 = 28 answer : a"
Answer: a
Question (physics): the speed at which a woman can row a boat in still water is 120 kmph . if she rows downstream , where the speed of current is 60 kmph , what time will he take to cover 500 metres ?
Options: a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12
Rationale: speed of the boat downstream = 120 + 60 = 180 kmph = 180 * 5 / 18 = 50 m / s hence time taken to cover 500 m = 500 / 50 = 10 seconds . answer : c
Answer: c
Question (general): a company that ships boxes to a total of 15 distribution centers uses color coding to identify each center . if either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors , what is the minimum number of colors needed for the coding ? ( assume that the order of the colors in a pair does not matter )
Options: a ) 8 , b ) 7 , c ) 6 , d ) 5 , e ) 9
Rationale: "back - solving is the best way to solve this problem . you basically need 12 combinations ( including single colors ) if we start from option 1 - > 1 = > 4 c 2 + 4 = 10 ( not enough ) 2 = > 5 c 2 + 5 = 15 ( enough ) since the minimum number is asked . it should be 5 . answer - d"
Answer: d
Question (gain): at a small company , 61 percent of the employees are women , and 60 percent of the employees are married . if 2 / 3 of the men are single , what fraction of the women are married ?
Options: a ) 5 / 16 , b ) 1 / 3 , c ) 9 / 20 , d ) 47 / 61 , e ) 5 / 7
Rationale: "lets take total employees are 100 . given that , total women = 61 and total married = 60 . total men = 100 - 61 = 39 and single men = 2 / 3 * 39 = 26 . married men = total men - single men = 39 - 26 = 13 . married women = total married - married men = 60 - 13 = 47 . fraction of women are married = married women / total women = 47 / 61 = 5 / 7 . ans d"
Answer: d
Question (physics): one pipe can fill a tank three times as fast as another pipe . if together the two pipes can fill tank in 39 min , then the slower pipe alone will be able to fill the tank in ?
Options: a ) 229 , b ) 156 , c ) 144 , d ) 128 , e ) 121
Rationale: "let the slower pipe alone fill the tank in x min . then , faster pipe will fill it in x / 3 min . 1 / x + 3 / x = 1 / 39 4 / x = 1 / 39 = > x = 156 min . answer : b"
Answer: b
Question (gain): in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the rate in the remaining 40 overs to reach the target of 252 runs ?
Options: a ) 6.25 , b ) 6.22 , c ) 5.5 , d ) 6.39 , e ) 6.13
Rationale: "required run rate = [ 252 - ( 3.2 * 10 ) ] / 40 = 220 / 40 = 5.5 answer : c"
Answer: c
Question (gain): at what price must an article costing rs . 85.5 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 25 % on the cost price ?
Options: a ) 122.5 , b ) 142.5 , c ) 162.5 , d ) 182.5 , e ) 112.5
Rationale: "cp = 85.50 sp = 85.5 * ( 125 / 100 ) = 106.875 mp * ( 95 / 100 ) = 106.875 mp = 112.5 answer : e"
Answer: e
Question (general): we have boxes colored either red or blue . in each blue box there is a fixed number of blueberries . in each red box there is a fixed number of strawberries . if we dispose of one blue box for one additional red box , the total number of berries would increase by 12 , and the difference between the total number of strawberries and the total number of blueberries would increase by 76 . each blue box contains how many blueberries ?
Options: a ) 26 , b ) 28 , c ) 30 , d ) 32 , e ) 34
Rationale: "let x be the number of blueberries in each blue box . then there are x + 12 strawberries in each red box . x + ( x + 12 ) = 76 x = 32 the answer is d ."
Answer: d
Question (physics): 15 men take 20 days of 8 hours each to do a piece of work . how many days of 6 hours each would 21 women take to do the same . if 3 women do as much work as 2 men ?
Options: a ) 27.57 , b ) 28.57 , c ) 29.57 , d ) 30.57 , e ) 32
Rationale: 3 w = 2 m 15 m - - - - - - 20 * 8 hours 21 w - - - - - - x * 6 hours 14 m - - - - - - x * 6 15 * 20 * 8 = 14 * x * 6 x = 28.57 answer : b
Answer: b
Question (gain): an association of mathematics teachers has 1,500 members . only 525 of these members cast votes in the election for president of the association . what percent of the total membership voted for the winning candidate if the winning candidate received 36 percent of the votes cast ?
Options: a ) 7.5 % , b ) 5.8 % , c ) 4.2 % , d ) 34.5 % , e ) 12.6 %
Rationale: "total umber of members = 1500 number of members that cast votes = 525 since , winning candidate received 36 percent of the votes cast number of votes for winning candidate = ( 36 / 100 ) * 525 = 189 percent of total membership that voted for winning candidate = ( 189 / 1260 ) * 100 = 12.6 % answer e"
Answer: e
Question (general): how many multiples of 10 are there between 81 and 358 ?
Options: a ) 24 , b ) 25 , c ) 26 , d ) 27 , e ) 28
Rationale: "10 * 9 = 90 10 * 35 = 350 total no of multiples = ( 35 - 9 ) + 1 = 27 answer d"
Answer: d
Question (general): in a competitive examination in state a , 6 % candidates got selected from the total appeared candidates . states b had an equal number of candidates appeared and 7 % candidates got selected with 80 more candidates got selected than a . what was the number of candidates appeared from each state ?
Options: a ) 7600 , b ) 8000 , c ) 8400 , d ) data inadequate , e ) none of these
Rationale: "solution let the number of candidates appeared from each state be x . then , 7 % of x - 6 % of x = 80 ⇔ 1 % of x = 80 ⇔ x = 80 × 100 = 8000 . answer b"
Answer: b
Question (physics): a train leaves mumabai at 9 am at a speed of 45 kmph . after one hour , another train leaves mumbai in the same direction as that of the first train at a speed of 90 kmph . when and at what distance from mumbai do the two trains meet ?
Options: a ) 287 , b ) 279 , c ) 90 , d ) 278 , e ) 379
Rationale: "when the second train leaves mumbai the first train covers 45 * 1 = 45 km so , the distance between first train and second train is 45 km at 10.00 am time taken by the trains to meet = distance / relative speed = 45 / ( 90 - 45 ) = 1 hours so , the two trains meet at 2 p . m . the two trains meet 1 * 90 = 90 km away from mumbai . answer : c"
Answer: c
Question (general): in 1990 the budgets for projects q and v were $ 660,000 and $ 860,000 , respectively . in each of the next 10 years , the budget for q was increased by $ 30,000 and the budget for v was decreased by $ 10,000 . in which year was the budget for q equal to the budget for v ?
Options: a ) 1992 , b ) 1993 , c ) 1994 , d ) 1995 , e ) 1996
Rationale: "let the no of years it takes is x . 660 + 30 x = 860 - 10 x - - > 40 x = 200 and x = 5 . thus , it happens in 1995 . d ."
Answer: d
Question (physics): a train 100 m long crosses a platform 200 m long in 15 sec ; find the speed of the train ?
Options: a ) 94 kmph , b ) 58 kmph , c ) 72 kmph , d ) 94 kmph , e ) 59 kmph
Rationale: "d = 100 + 200 = 300 t = 15 s = 300 / 15 * 18 / 5 = 72 kmph answer : c"
Answer: c
Question (general): the average salary of 15 people in the shipping department at a certain firm is $ 20,000 . the salary of 5 of the employees is $ 25,000 each and the salary of 4 of the employees is $ 20,000 each . what is the average salary of the remaining employees ?
Options: a ) $ 19,250 , b ) $ 15,800 , c ) $ 18,000 , d ) $ 15,850 , e ) $ 12,300
Rationale: "total salary . . . 15 * 20 k = 300 k 5 emp @ 25 k = 125 k 4 emp @ 20 k = 80 k remaing 6 emp sal = 300 k - 125 k - 80 k = 95 k average = 95 k / 6 = 15800 ans : b"
Answer: b
Question (other): if 0.10 of a number is equal to 0.070 of another number , the ratio of the numbers is :
Options: a ) 2 : 3 , b ) 3 : 4 , c ) 7 : 10 , d ) 20 : 3 , e ) 30 : 7
Rationale: "0.10 a = 0.070 b - > a / b = 0.07 / 0.10 = 7 / 10 : . a : b = 7 : 10 answer : c"
Answer: c
Question (general): a person spends 1 / 3 rd of the money with him on clothes , 1 / 5 th of the remaining on food and 1 / 4 th of the remaining on travel . now , he is left with rs 600 . how much did he have with him in the beginning ?
Options: a ) s 200 , b ) s 1500 , c ) s 300 , d ) s 450 , e ) s 550
Rationale: "suppose the amount in the beginning was rs ’ x ’ money spent on clothes = rs 1 x / 3 balance = rs 2 x / 3 money spent on food = 1 / 5 of 2 x / 3 = rs 2 x / 15 balance = 2 x / 3 - 2 x / 15 = rs 8 x / 15 money spent on travel = 1 / 4 of 8 x / 15 = rs 2 x / 15 = 8 x / 15 - 2 x / 15 = 6 x / 15 = rs 2 x / 5 therefore 2 x / 5 = 100 = 1500 answer : b"
Answer: b
Question (general): a fruit drink is made of orange , watermelon , and grape juice , where 15 percent of the drink is orange juice and 60 percent is watermelon juice . if the drink is made with 30 ounces of grape juice , how many ounces is the drink total ?
Options: a ) 120 , b ) 160 , c ) 190 , d ) 200 , e ) 400
Rationale: let the total number of ounces in the drink be x . % of orange = 15 % % of watermelon = 60 % % of grape = 100 % - 75 % = 25 % 0.25 x = 30 x = 120 therefore there are a total of 120 ounces in the drink . the answer is a .
Answer: a