Lots-of-LoRAs/task1678_mathqa_answer_selection huggingface dataset:
Input: Problem: if the volume of two cubes are in the ratio 8: 1, the ratio of their edges is :
Options: ['a. 2: 1', 'b. 3: 2', 'c. 3: 5', 'd. 3: 7', 'e. none of these']
Output: 

 a
Input: Problem: in the youth summer village there are 125 people, 50 of them are not working, 25 of them have families and 75 of them like to sing in the shower. what is the largest possible number of people in the village, which are working, that do n ' t have families and that are singing in the shower ?
Options: a. 75, b. 80, c. 85, d. 100, e. 90
Output: 

 a
Input: Problem: the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. the radius of the sphere is
Options: a. 3 cm, b. 4 cm, c. 6 cm, d. 8 cm, e. none
Output: 

 c
Input: Problem: in a recent election, geoff received 15 percent of the 6,000 votes cast. to win the election, a candidate needed to receive more than x % of the vote. if geoff needed exactly 3,571 more votes to win the election, what is the value of x ?
Options: a. 74.5, b. 54, c. 56, d. 60, e. 63
Output: 

 a
Input: Problem: two trains are moving in opposite directions at 60 km / hr and 90 km / hr. their lengths are 1.15 km and 0.6 km respectively. the time taken by the slower train to cross the faster train in seconds is ?
Options: a. 42, b. 9, c. 7, d. 67, e. 15
Output: 

 a
Input: Problem: in a survey of parents, exactly 5 / 6 of the mothers and 3 / 4 of the fathers held full - time jobs. if 40 percent of the parents surveyed were women, what percent of the parents did not hold full - time jobs ?
Options: a. 10 %, b. 12 %, c. 15 %, d. 18 %, e. 22 %
Output: 

 e
Input: Problem: a rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. what is the cost of traveling the two roads at rs. 5 per sq m ?
Options: a. 6500, b. 2779, c. 2779, d. 3900, e. 2781
Output: 

 a
Input: Problem: solve the equation 2 – x = 2 b – 2 ax, where a and b are real parameters. find for which values of a the equation has for solution a natural number, if b = 7
Options: a. 0, b. 1, c. 2, d. 3, e. 4
Output: 

 b
Input: Problem: 1401 x 1401 = ?
Options: a. 1962800, b. 1962801, c. 1960000, d. 1951611, e. 1951613
Output: 

 b
Input: Problem: points a, b, and, c have xy - coordinates ( 2,0 ), ( 8,12 ), and ( 14,0 ), respectively. points x, y, and z have xy - coordinates ( 6,0 ), ( 8,4 ), and ( 10,0 ), respectively. what fraction c of the area of triangle abc is the area of triangle xyz ?
Options: ['a. 1 / 9', 'b. 1 / 8', 'c. 1 / 6', 'd. 1 / 5', 'e. 1 / 3']
Output: 

 a
Input: Problem: a bottle contains a certain solution. in the bottled solution, the ratio of water to soap is 3: 2, and the ratio of soap to salt is 4 times this ratio. the solution is poured into an open container, and after some time, the ratio of water to soap in the open container is quartered by water evaporation. at that time, what is the ratio of water to salt in the solution ?
Options: a. 12: 8, b. 8: 16, c. 9: 16, d. 8: 12, e. 16: 9
Output: 

 c
Input: Problem: in a dairy farm, 20 cows eat 10 bags of husk in 40 days. in how many days one cow will eat one bag of husk ?
Options: a. 20, b. 40, c. 80, d. 30, e. 60
Output: 

 c
Input: Problem: 20 one identical machines, running continuously at the same constant rate, take 9 days to complete a shipment. how many additional machines, each running at the same constant rate, would be needed to reduce the time required to complete a shipment by two days ?
Options: a. 2, b. 3, c. 4, d. 6, e. 9
Output: 

 d
Input: Problem: the sum of two consecutive numbers is 37. what are they ?
Options: a. 18 and 19, b. 18 and 21, c. 18 and 23, d. 19 and 20, e. none
Output: 

 a
Input: Problem: a train 200 m long can cross an electric pole in 5 sec and then find the speed of the train ?
Options: a. 114, b. 124, c. 134, d. 144, e. 154
Output: 

 d
Input: Problem: what is the units digit of 16 ^ 83 × 13 ^ 82 × 11 ^ 87 ?
Options: a. 4, b. 5, c. 6, d. 7, e. 8
Output: 

 c
Input: Problem: the average of 11 10 prime numbers which are odd is ?
Options: a. 17.72, b. 18.52, c. 19.63, d. 16.53, e. 15.63
Output: 

 a
Input: Problem: if b is the center of the circle in the figure above and the area of the shaded region is 16 π, what is the length of arc adc ?
Options: ['a. 4', 'b. 4 π', 'c. 16', 'd. 8 π', 'e. 16']
Output: 

 b
Input: Problem: a and b complete a work in 6 days. a alone can do it in 8 days. if both together can do the work in how many days ?
Options: a. 3.75 days, b. 3.43 days, c. 2.99 days, d. 2.98 days, e. 2.44 days
Output: 

 b
Input: Problem: 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 ?
Options: a. 4, b. 6, c. 8, d. 7, e. 12
Output: 

 d
Input: Problem: a shopkeeper has 280 kg of apples. he sells 85 % of these at 20 % profit and remaining 60 % at 30 % profit. find his % profit on total.
Options: a. 24 %, b. 25 %, c. 26 %, d. 28 %, e. 35 %
Output: 

 e
Input: Problem: 2.205 divided by 0.3 gives
Options: a. 7.35, b. 6.25, c. 8.15, d. 6.95, e. none of these
Output: 

 a
Input: Problem: if the personal income tax rate is lowered from 46 % to 32 %, what is the differential savings for a tax payer having an annual income before tax to the tune of $ 36000 ?
Options: a. $ 3500, b. $ 5040, c. $ 3150, d. $ 7000, e. $ 10000
Output: 

 b
Input: Problem: the cost price of a radio is rs. 1800 and it was sold for rs. 1430, find the loss % ?
Options: a. 18 %, b. 20.5 %, c. 30 %, d. 45 %, e. 12 %
Output: 

 b
Input: Problem: mr. kramer, the losing candidate in a two - candidate election, received 942,568 votes, which was exactly 25 percent of all votes cast. approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ?
Options: a. 10 %, b. 12 %, c. 15 %, d. 17 %, e. 33 %
Output: 

 e
Input: Problem: 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 ?
Options: a. 25 minutes., b. 55 minutes., c. 1 hour and 41 minutes, d. 1 hour and 35 minutes, e. 1 hour and 20 minutes
Output: 

 c
Input: Problem: calculate the l. c. m of 7 / 10, 8 / 9, 3 / 8, 5 / 12 is :
Options: a. 840, b. 70, c. 740, d. 140, e. 940
Output: 

 a
Input: Problem: line m lies in the xy - plane. the y - intercept of line m is - 2, and line m passes through the midpoint of the line segment whose endpoints are ( 2, 8 ) and ( 144 ). what is the slope of line m ?
Options: a. - 2, b. - 1, c. 0, d. 1, e. 2
Output: 

 d
Input: Problem: a car salesman earns a base salary of $ 1000 per month plus a commission of $ 200 for each car he sells. if the car salesman earned $ 2000 in march, how many cars does he need to sell in april in order to double his march earnings ?
Options: a. 14, b. 15, c. 16, d. 17, e. 18
Output: 

 b
Input: Problem: a group of boy scouts and girls scouts is going on a rafting trip. 60 % of the scouts arrived with signed permission slips. if 45 % of the scouts were boy scouts and 50 % of the boy scouts arrived with signed permission slips, then what percentage of the girl scouts arrived with signed permission slips ? round to the nearest percent.
Options: a. 64, b. 68, c. 72, d. 76, e. 80
Output: 

 b
Input: Problem: if in a 20 over cricket match, there were no wide balls, no wides, no extras and no overthrows. what is the maximum number of runs that a batsman can score in an ideal case scenario ?
Options: a. 663, b. 720, c. 625, d. 640, e. none
Output: 

 a
Input: Problem: what is the normal price of an article sold at $ 72 after two successive discounts of 10 % and 20 % ?
Options: a. $ 92, b. $ 96, c. $ 100, d. $ 104, e. $ 108
Output: 

 c
Input: Problem: if the price of a certain computer increased 30 percent from c dollars to 351 dollars, then 2 c =
Options: a. 540, b. 570, c. 619, d. 649, e. 700
Output: 

 a
Input: Problem: a person can swim in still water at 4 km / h. if the speed of water 2 km / h, how many hours will the man take to swim back against the current for 10 km ?
Options: a. 3, b. 5, c. 8, d. 9, e. 6
Output: 

 b
Input: Problem: a present value of a machine is $ 1000. its value depletiation rate is 10 % per annum then find the machine value after 2 years ?
Options: a. $ 900, b. $ 810, c. $ 915, d. $ 715, e. $ 795
Output: 

 b
Input: Problem: a furniture dealer purchased a desk for $ 120 and then set the selling price equal to the purchase price plus a markup that was 40 % of the selling price. if the dealer sold the desk at the selling price, what was the amount of the dealer ' s gross profit from the purchase and the sale of the desk ?
Options: a. $ 40, b. $ 60, c. $ 80, d. $ 90, e. $ 100
Output: 

 a
Input: Problem: a grocer has a sale of rs. 3435, rs. 3920, rs. 3855, rs. 4230 and rs. 3560 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs. 3500 ?
Options: a. 500, b. 1000, c. 6000, d. 7000, e. 2000
Output: 

 e
Input: Problem: there is a 50 cm line marked at each centimeter and an insect is placed at every centimeter. 9 frogs are trained to jump a constant distance. the first one jumps 2 cm in every leap, the second one jumps 3 cm and so on until the 9 th one jumps 10 cm in every leap and they eat any insect that is available at that spot. if all of them start from start line and finish the entire 50 cm, how many insects were still left after the race was over ?
Options: a. 0, b. 4, c. 6, d. 8, e. 11
Output: 

 e
Input: Problem: rahul played weel in this season. his current batting averagge is 46. if he score 78 runs in today match. his batting average will become 54. how many matches had he played in this season.
Options: a. 8, b. 10, c. 3, d. 6, e. 5
Output: 

 c
Input: Problem: solution y is 20 percent liquid x and 80 percent water. if 2 kilograms of water evaporate from 8 kilograms of solution y and 2 kilograms of solution y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid x ?
Options: a. 20 %, b. 21 1 / 2 %, c. 22 %, d. 24 %, e. 25 %
Output: 

 e
Input: Problem: stacy has a 63 page history paper due in 7 days. how many pages per day would she have to write to finish on time ?
Options: a. 9, b. 8, c. 10, d. 8.5, e. 6
Output: 

 a
Input: Problem: in the youth summer village there are 175 people, 100 of them are not working, 75 of them have families and 125 of them like to sing in the shower. what is the largest possible number of people in the village, which are working, that do n ' t have families and that are singing in the shower ?
Options: a. 70, b. 75, c. 85, d. 80, e. 100
Output: 

 b
Input: Problem: 200 pupil total, out of 125 like pizza, 115 like burger, then how many like both ?
Options: a. 40, b. 50, c. 60, d. 70, e. 80
Output: 

 a
Input: Problem: find large number from below question the difference of two numbers is 1360. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Options: a. 1254, b. 1376, c. 1456, d. 1555, e. 1629
Output: 

 e
Input: Problem: a small pool filled only with water will require an additional 700 gallons of water in order to be filled to 80 % of its capacity. if pumping in these additional 700 gallons of water will increase the amount of water in the pool by 30 %, what is the total capacity of the pool in gallons ?
Options: a. 1000, b. 1250, c. 1300, d. 1600, e. 2125
Output: 

 e
Input: Problem: a number whose fifth part increased by 5 is equal to its fourth part diminished by 5 is ?
Options: a. 160, b. 180, c. 200, d. 220, e. none
Output: 

 c
Input: Problem: a train is 385 meter long is running at a speed of 45 km / hour. in what time will it pass a bridge of 140 meter length
Options: a. 42 seconds, b. 30 seconds, c. 40 seconds, d. 50 seconds, e. none of these
Output: 

 a
Input: Problem: 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 200. how much did he have with him in the beginning ?
Options: a. s 200, b. s 500, c. s 300, d. s 450, e. s 550
Output: 

 b
Input: Problem: pipe a fills a swimming pool in 4 hours. pipe b empties the pool in 6 hours. if pipe a was opened at 6: 00 am and pipe b at 7: 00 am, at what time will the pool be full ?
Options: a. 14: 00, b. 15: 00, c. 13: 00, d. 16: 00, e. 17: 00
Output: 

 d
Input: Problem: a man can row downstream at 35 kmph and upstream at 25 kmph. find the speed of the man in still water and the speed of stream respectively ?
Options: a. 35, 3, b. 25, 5, c. 35, 4, d. 5, 30, e. 30, 5
Output: 

 e
Input: Problem: if the cost price of 24 chocolates is equal to the selling price of 16 chocolates, the gain percent is :
Options: a. 24 %, b. 8 %, c. 50 %, d. 40 %, e. none of these
Output: 

 c
Input: Problem: what is the lowest positive integer that is divisible by 4 through 6, inclusive ?
Options: a. 120, b. 48, c. 82, d. 76, e. 160
Output: 

 a
Input: Problem: a thief goes away with a santro car at a speed of 40 kmph. the theft has been discovered after half an hour and the owner sets off in a bike at 60 kmph when will the owner over take the thief from the start ?
Options: a. a. 2, b. b. 5, c. c. 7, d. d. 5, e. e. 1
Output: 

 e
Input: Problem: a family pays $ 700 per year for an insurance plan that pays 70 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 how much ?
Options: a. $ 1,100, b. $ 1,300, c. $ 1,400, d. $ 1,800, e. $ 2,200
Output: 

 b
Input: Problem: 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 ?
Options: a. 72 kmph, b. 55 kmph, c. 50 kmph, d. 80 kmph, e. 82 kmph
Output: 

 b
Input: Problem: if the price of a certain computer increased 30 percent from b dollars to 351 dollars, then 2 b =
Options: a. 540, b. 570, c. 619, d. 649, e. 700
Output: 

 a
Input: Problem: the number of diagonals of a polygon of n sides is given by the formula q = n ( n - 3 ) / 2. if a polygon has twice as many diagonals as sides, how many sides does it have ?
Options: a. 3, b. 5, c. 6, d. 7, e. 8
Output: 

 b
Input: Problem: a certain meter records voltage between 0 and 10 volts inclusive. if the average value of 3 recordings on the meter was 4 volts, what was the smallest possible recording in volts ?
Options: a. 2, b. 3, c. 4, d. 5, e. 6
Output: 

 a
Input: Problem: what is the smallest positive integer x such that 720 - x is the cube of a positive integer
Options: a. 5, b. 7, c. 47, d. 9, e. 12
Output: 

 d
Input: Problem: a dishonest dealer claims to sell a product at its cost price. he uses a counterfeit weight which is 20 % less than the real weight. further greed overtook him and he added 40 % impurities to the product. find the net profit percentage of the dealer ?
Options: a. 94 %, b. 87.5 %, c. 55 %, d. 56.25 %, e. 36 %
Output: 

 b
Input: Problem: if the least common multiple of two prime numbers x and y is 10, where x < y, then the value of 3 x + y is
Options: a. 7, b. 9, c. 11, d. 12, e. 21
Output: 

 c
Input: Problem: you have been given a physical balance and 7 weights of 40, 42, 36, 33, 47, 52 and 67 kgs. keeping weights on one pan and object on the other, what is the maximum you can weigh less than 169 kgs.
Options: a. 163, b. 166, c. 162, d. 164, e. 165
Output: 

 e
Input: Problem: 120 students represent x percent of the boys at a school. if the boys at the school make up 30 % of the total school population of x students, what is x ?
Options: a. 120, b. 150, c. 180, d. 200, e. 250
Output: 

 d
Input: Problem: if the average ( arithmetic mean ) of x + 2, x + 3, and x + 4 is 0, then x =
Options: a. – 4, b. – 3, c. – 2, d. – 1, e. 0
Output: 

 b
Input: Problem: there are 15 balls in a jar. you take out 3 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1 / 3. how many blue balls were there in the beginning ?
Options: a. 12., b. 9., c. 8., d. 7., e. 6.
Output: 

 d
Input: Problem: 10 play kabadi, 30 play kho kho only, 5 play both gmaes. then how many in total ?
Options: a. 30, b. 35, c. 38, d. 40, e. 45
Output: 

 d
Input: Problem: the average of 9 observations was 8, that of the 1 st of 5 being 10 and that of the last 5 being 8. what was the 5 th observation ?
Options: a. 18, b. 12, c. 15, d. 17, e. 19
Output: 

 a
Input: Problem: the value of “ a ” varies in inverse proportion as the square of “ b ”. if the value of “ a ” is equal to 40 when “ b ” is equal to 12. what would be the value of “ a ” when “ b ” is equal to 24 ?
Options: ['a. 10', 'b. 88', 'c. 26', 'd. 27', 'e. 28']
Output: 

 a
Input: Problem: two trains, one from howrah to patna and the other from patna to howrah, start simultaneously. after they meet, the trains reach their destinations after 32 hours and 16 hours respectively. the ratio of their speeds is
Options: a. 4: 9, b. 4: 3, c. 4: 12, d. 1: 2, e. 4: 5
Output: 

 d
Input: Problem: a train 250 m long passed a pole in 10 sec. how long will it take to pass a platform 1250 m long ?
Options: a. 60 sec, b. 90 sec, c. 120 sec, d. 150 sec, e. 180 sec
Output: 

 a
Input: Problem: find the principle on a certain sum of money at 5 % per annum for 3 1 / 5 years if the amount being rs. 1160 ?
Options: a. rs. 1000, b. rs. 1100, c. rs. 1010, d. rs. 10000, e. none of these
Output: 

 a
Input: Problem: what number times ( 1 ⁄ 6 ) ^ 2 will give the value of 6 ^ 3 ?
Options: a. 6, b. 36, c. 216, d. 1296, e. 7776
Output: 

 e
Input: Problem: how many multiples of 3 are there between 15 and 246 ?
Options: a. 128, b. 94, c. 89, d. 76, e. 60
Output: 

 d
Input: Problem: during a certain season, a team won 70 percent of its first 100 games and 50 percent of its remaining games. if the team won 70 percent of its games for the entire season, what was the total number of games that the team played ?
Options: a. 180, b. 170, c. 156, d. 150, e. 100
Output: 

 e
Input: Problem: a man rows his boat 75 km downstream and 45 km upstream, taking 5 hours each time. find the speed of the stream ?
Options: a. 6 kmph, b. 5 kmph, c. 2 kmph, d. 3 kmph, e. 1 kmph
Output: 

 d
Input: Problem: a sum of money is to be distributed among a, b, c, d in the proportion of 5: 2: 4: 3. if c gets rs. 500 more than d, what is a ' s share ?
Options: a. rs. 2500, b. rs. 1000, c. rs. 1500, d. rs. 2000, e. none
Output: 

 a
Input: Problem: if money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 24 / r years. if pat ' s parents invested $ 6,000 in a long - term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when pat is ready for college ?
Options: a. $ 20000, b. $ 15000, c. $ 12000, d. $ 10000, e. $ 30000
Output: 

 e
Input: Problem: in an election between the two candidates, the candidates who gets 70 % of votes polled is winned by 280 vote ’ s majority. what is the total number of votes polled ?
Options: a. 750, b. 700, c. 800, d. 850, e. none of these
Output: 

 b
Input: Problem: the base and height of a parallelogram are 12 m and 6 m respectively. then its area is = = = = = = ?
Options: ['a. 27 sq. m', 'b. 126 sq. m', 'c. 84 sq. m', 'd. 18 sq. m', 'e. 72 sq. m']
Output: 

 e
Input: Problem: two whole numbers whose sum is 100 can not be in the ratio
Options: a. 2: 23, b. 5: 45, c. 10: 10, d. 2: 6, e. 2: 3
Output: 

 d
Input: Problem: 10 women can complete a work in 5 days and 10 children take 10 days to complete the work. how many days will 5 women and 10 children take to complete the work ?
Options: a. 4, b. 5, c. 7, d. 8, e. 2
Output: 

 b
Input: Problem: 4 liters of a 20 percent solution of alcohol in water are mixed with 5 liters of a 10 percent alcohol in water solution. what is the percentage of alcohol in the new solution ?
Options: a. 14.4 %, b. 14.8 %, c. 15.2 %, d. 15.6 %, e. 16.0 %
Output: 

 a
Input: Problem: a and b invests rs. 1500 and rs. 4000 respectively in a business. if a doubles his capital after 6 months. in what ratio should a and b divide that year ' s profit ?
Options: a. 9: 5, b. 9: 8, c. 9: 2, d. 9: 9, e. 9: 16
Output: 

 e
Input: Problem: 49 × 49 × 49 × 49 = 7 ?
Options: a. 4, b. 7, c. 8, d. 16, e. none of these
Output: 

 c
Input: Problem: triathlete dan runs along a 4 - mile stretch of river and then swims back along the same route. if dan runs at a rate of 10 miles per hour and swims at a rate of 6 miles per hour, what is his average rate for the entire trip in miles per minute ?
Options: a. 1 / 8, b. 2 / 15, c. 3 / 15, d. 1 / 4, e. 3 / 8
Output: 

 a
Input: Problem: mixture contains alcohol and water in the ratio 4: 3. if 5 liters of water is added to the mixture, the ratio becomes 4: 5. find the quantity of alcohol in the given mixture.
Options: a. 10, b. 99, c. 27, d. 22, e. 29
Output: 

 a
Input: Problem: for all positive integers m, [ m ] = 3 m when m is odd and [ m ] = ( 1 / 2 ) * m when m is even. what is [ 5 ] * [ 8 ] equivalent to ?
Options: a. [ 40 ], b. [ 60 ], c. [ 80 ], d. [ 120 ], e. [ 150 ]
Output: 

 d
Input: Problem: what is the remainder when 1201 × 1202 × 1204 × 1205 is divided by 6 ?
Options: a. 1, b. 2, c. 3, d. 4, e. 5
Output: 

 d
Input: Problem: 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 %
Output: 

 a
Input: Problem: a milk man has 40 liters of milk. if he mixes 5 liters of water, which is freely available, in 20 liters of pure milk. if the cost of pure milk is rs. 18 per liter, then the profit of the milkman, when he sells all the mixture at cost price is :
Options: a. 20 %, b. 25 %, c. 45 %, d. 18 %, e. none of these
Output: 

 c
Input: Problem: company s produces two kinds of stereos: basic and deluxe. of the stereos produced by company s last month, 2 / 3 were basic and the rest were deluxe. if it takes 1.1 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos ?
Options: a. 7 / 17, b. 14 / 31, c. 7 / 15, d. 11 / 31, e. 1 / 2
Output: 

 d
Input: Problem: ( 3220 + 6160 ) / 28
Options: a. 380, b. 350, c. 335, d. 310, e. none of these
Output: 

 c
Input: Problem: find the value of ( 100 + 20 / 90 ) × 90
Options: a. 4520, b. 9100, c. 9150, d. 8120, e. 9020
Output: 

 e
Input: Problem: the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 66 kg. what might be the weight of the new person ?
Options: a. 56 kg, b. 90 kg, c. 86 kg, d. data inadequate, e. none of these
Output: 

 c
Input: Problem: what is the probability of getting exactly 2 heads in a single throw of four fair coins ?
Options: a. 1 / 2, b. 3 / 4, c. 3 / 8, d. 3 / 16, e. 5 / 16
Output: 

 c
Input: Problem: the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs. 72. find the principal ?
Options: a. 2277, b. 2667, c. 3600, d. 2766, e. 1800
Output: 

 e
Input: Problem: if the sum of 5 consecutive even positive integers is a, then the sum of the next 5 even consecutive integers in terms of a is :
Options: a. a + 5, b. a + 10, c. a + 25, d. a + 50, e. 2 a + 5
Output: 

 d
Input: Problem: a shipment of 230 smartphones contains 84 that are defective. if a customer buys two smartphones at random from the shipment, what is the approximate probability that both phones are defective ?
Options: a. 1 / 250, b. 1 / 84, c. 1 / 11, d. 9 / 68, e. 1 / 3
Output: 

 d