Lots-of-LoRAs/task1678_mathqa_answer_selection huggingface dataset:
Input: Problem: the average marks obtained by 50 candidates in a certain examination is 40. find the total marks.
Options: a. 1800, b. 2000, c. 1640, d. 2200, e. 2400
Output: 

 b
Input: Problem: find the maximum value of the function f ( x ) = x − 5 if x is a number between - 5 and 13.
Options: a. 6, b. 7, c. 8, d. 9, e. none
Output: 

 c
Input: Problem: the average height of 30 girls out of a class of 40 is 160 cm. and that of the remaining girls is 156 cm. the average height of the whole class is :
Options: a. 158 cms, b. 158.5 cms, c. 159 cms, d. 159.5 cms, e. none
Output: 

 c
Input: Problem: pradeep has to obtain 20 % of the total marks to pass. he got 390 marks and failed by 25 marks. the maximum marks are
Options: a. 300, b. 2075, c. 800, d. 1000, e. 3900
Output: 

 b
Input: Problem: in a village of 2,500 people, 800 people are over 70 years old and 850 people are female. it is known that 40 percent of the females are younger than 70 years old. if no one in the village is 70 years old, what is the probability that a person chosen at random is either a male or younger than 70 years old ?
Options: a. 221 / 250, b. 199 / 250, c. 33 / 50, d. 8 / 25, e. 51 / 250
Output: 

 b
Input: Problem: the monthly rent of a shop of dimension 18 feet × 22 feet is rs. 2244. what is the annual rent per square foot of the shop ? ( a. rs. 5 ( 2 / 3 )
Options: a. 43, b. 56, c. 68, d. 87, e. 92
Output: 

 c
Input: Problem: 4, 12, 48, 240, 1440, 10080,80640 (... )
Options: a. 7620, b. 10080, c. 6200, d. 10020, e. 725760
Output: 

 e
Input: Problem: for what value of x between − 9 and 9, inclusive, is the value of x ^ 2 − 10 x + 16 the greatest ?
Options: a. − 9, b. − 2, c. 0, d. 2, e. 9
Output: 

 a
Input: Problem: a is twice as good a work man as b and together they finish the work in 4 days. in how many days a alone can finish the work ?
Options: a. 3, b. 2, c. 7, d. 9, e. 6
Output: 

 e
Input: Problem: a person saved $ 10 in buying an item on sale. if he spent $ 500 for the item, approximately how much percent he saved in the transaction ?
Options: a. 8 %, b. 10 %, c. 2 %, d. 5 %, e. 6 %
Output: 

 c
Input: Problem: at company x, senior sales representatives visit the home office once every 12 days, and junior sales representatives visit the home office once every 8 days. the number of visits that a junior sales representative makes in a 2 - year period is approximately what percent greater than the number of visits that a senior representative makes in the same period ?
Options: a. 10 %, b. 25 %, c. 33 %, d. 50 %, e. 67 %
Output: 

 d
Input: Problem: the circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 32 ft long. what is the distance traveled by the cart, when the front wheel has done five more revolutions than the rear wheel ?
Options: a. 20 ft, b. 25 ft, c. 750 ft, d. 900 ft, e. 2400 ft
Output: 

 e
Input: Problem: sushil got thrice as many marks in english as in science. his total marks in english, science and maths are 180. if the ratio of his marks in english and maths is 1: 2, find his marks in science ?
Options: a. 19, b. 77, c. 66, d. 55, e. 31
Output: 

 a
Input: Problem: 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
Output: 

 a
Input: Problem: the average age of 36 students in a group is 18 years. when teacher ' s age is included to it, the average increases by one. what is the teacher ' s age in years ?
Options: a. 35 years, b. 55 years, c. 51 years, d. 54 years, e. none of these
Output: 

 b
Input: Problem: a sum of 11,500 amounts to 13,500 in 5 years at the rate of simple interest. what is the rate of interest ?
Options: a. 2 %, b. 3 %, c. 6 %, d. 5 %, e. 8 %
Output: 

 b
Input: Problem: it is the new year and mandy has made a resolution to lose weight this year. she plans to exercise and do yoga. for exercise she plans to workout at the gym and ride her bicycle in the ratio of 2: 3 everyday. she will also do yoga in the ratio, yoga: exercise = 2: 3. if she rides her bike for 18 minutes, how much time will she spend doing yoga ? ( rounded to minutes )
Options: a. 30 min., b. 41 min., c. 17 min., d. 23 min., e. 25 min.
Output: 

 a
Input: Problem: stacy was 5 days late returning items to the library. stacy had checked out 40 books, 2 movies, and 3 magazines. books are fined $ 0.25 per day, movies are fined $ 3.00 per day, and magazines are fined $ 0.50 per day. what is the average fine per item per day stacy paid ?
Options: a. $ 0.25, b. $ 0.30, c. $ 0.35, d. $ 0.40, e. none of the above
Output: 

 e
Input: Problem: a certain taxi company charges $ 2.10 for the first 1 / 5 of a mile plus $ 0.40 for each additional 1 / 5 of a mile. what would this company charge for a taxi ride that was 8 miles long ?
Options: a. 15.6, b. 16.0, c. 17.7, d. 18.7, e. 19.1
Output: 

 c
Input: Problem: in how many years rs 100 will produce the same interest at 5 % as rs. 200 produce in 2 years at 10 %
Options: a. 8, b. 10, c. 9, d. 12, e. 11
Output: 

 a
Input: Problem: the ratio of the number of females to males at a party was 1: 2 but when 7 females and 7 males left, the ratio became 1: 3. how many people were at the party originally ?
Options: a. 28, b. 32, c. 36, d. 42, e. 50
Output: 

 d
Input: Problem: the length of the rectangular field is double its width. inside the field there is square shaped pond 6 m long. if the area of the pond is 1 / 8 of the area of the field. what is the length of the field ?
Options: a. 24, b. 32, c. 75, d. 28, e. 11
Output: 

 a
Input: Problem: an article is bought for rs. 675 and sold for rs. 800, find the gain percent ?
Options: a. 38 %, b. 28 %, c. 18 %, d. 22 %, e. 13 %
Output: 

 c
Input: Problem: ray writes a two digit number. he sees that the number exceeds 4 times the sum of its digits by 3. if the number is increased by 18, the result is the same as the number formed by reversing the digits. find the number.
Options: a. 2, b. 5, c. 6, d. 7, e. 8
Output: 

 b
Input: Problem: if the speed of a man is 63 km per hour, then what is the distance traveled by him in 25 seconds ?
Options: a. 275 m, b. 360 m, c. 375 m, d. 437.5 m, e. 440 m
Output: 

 d
Input: Problem: in x - y plane, there is a right triangle abc ( ∠ b = 90 o ). if the length of ac is 25 and the slope of line segment ac is 4 / 3, what is the length of ab ?
Options: a. 12, b. 18, c. 24, d. 20, e. 40
Output: 

 d
Input: Problem: evaluate: 10111 - 10 * 2 * 5 = ?
Options: a. 10101, b. 10110, c. 11100, d. 11001, e. 11011
Output: 

 a
Input: Problem: two years ago, ram put $ 500 into a savings account. at the end of the first year, his account had accrued $ 100 in interest bringing his total balance to $ 600. the next year, his account balance increased by 10 %. at the end of the two years, by what percent has ram ' s account balance increased from his initial deposit of $ 500 ?
Options: a. 19 %, b. 28 %, c. 30 %, d. 32 %, e. 25 %
Output: 

 d
Input: Problem: an optometrist charges $ 150 per pair for soft contact lenses and $ 85 per pair for hard contact lenses. last week she sold 5 more pairs of soft lenses than hard lenses. if her total sales for pairs of contact lenses last week were $ 1,455, what was the total number of pairs of contact lenses that she sold ?
Options: a. 11, b. 13, c. 15, d. 17, e. 19
Output: 

 a
Input: Problem: a man can row a distance of 5 km in 60 min with the help of the tide. the direction of the tide reverses with the same speed. now he travels a further 20 km in 10 hours. how much time he would have saved if the direction of tide has not changed ?
Options: a. 2, b. 8, c. 1, d. 6, e. 5
Output: 

 d
Input: Problem: in a bag of small balls 1 / 4 are green, 1 / 8 are blue, 1 / 12 are yellow and the remaining 26 white. how many balls are blue ?
Options: a. 6, b. 5, c. 4, d. 3, e. 8
Output: 

 a
Input: Problem: what will be the cost of gardening 1 meter boundary around a rectangular plot having perimeter of 340 meters at the rate of rs. 10 per square meter ?
Options: ['a. rs. 3430', 'b. rs. 3440', 'c. rs. 3450', 'd. rs. 3460', 'e. rs. 3490']
Output: 

 b
Input: Problem: a and b can together finish a work in 40 days. they worked together for 10 days and then b left. after another 15 days, a finished the remaining work. in how many days a alone can finish the job ?
Options: a. 10, b. 25, c. 60, d. 30, e. 20
Output: 

 e
Input: Problem: two cars start at the same time from opposite ends of a highway that is 175 miles long. one car is riding at 25 mph and the second car is riding at 45 mph. how long after they begin will they meet ?
Options: a. 2, b. 2.5, c. 3, d. 3.5, e. 4
Output: 

 b
Input: Problem: how many times digit 5 is used while writing numbers from 1 to 500 ?
Options: a. 103, b. 98, c. 94, d. 105, e. 100
Output: 

 e
Input: Problem: if a: b: : 3: 7, then what is ( 5 a + 2 b.: ( a - 2 b. ?
Options: a. 57: 11, b. - 57: 11, c. 11: 10, d. - 29: 11, e. - 1: 10
Output: 

 d
Input: Problem: irin, ingrid and nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. if altogether they baked a batch of 148 cookies, what percent of the cookies did ingrid bake ?
Options: a. 0.125 %, b. 1.25 %, c. 31.7 %, d. 125 %, e. 0.152 %
Output: 

 c
Input: Problem: two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 6 seconds. the length of the faster train is
Options: a. 80 m, b. 100 m, c. 120 m, d. 135 m, e. none
Output: 

 d
Input: Problem: how much time will a train of length 380 m moving at a speed of 72 kmph take to cross another train of length 540 m, moving at 36 kmph in the same direction ?
Options: a. 50, b. 99, c. 88, d. 92, e. 12
Output: 

 d
Input: Problem: how much water must be added to 64 litres of milk at 1 1 ⁄ 2 litres for 20 so as to have a mixture worth 10 2 ⁄ 3 a litre ?
Options: a. 16 litres, b. 12 litres, c. 15 litres, d. 18 litres, e. none of these
Output: 

 a
Input: Problem: the number of singles that a baseball player hit increased 10 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 1 percent. if the total number of singles and doubles that she hit increased 3 percent from her first season to her second season, what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season ?
Options: a. 2: 3, b. 3: 5, c. 4: 7, d. 5: 8, e. 7: 9
Output: 

 c
Input: Problem: the average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 22 years. find the average age of the women ?
Options: a. 87, b. 98, c. 30, d. 29, e. 37
Output: 

 d
Input: Problem: two letters from the word barkhint are selected at random. what is the probability that at least one of the selected letters is a consonant ?
Options: a. 30 / 28, b. 40 / 28, c. 25 / 28, d. 27 / 28, e. 32 / 28
Output: 

 d
Input: Problem: find large number from below question the difference of two numbers is 1000. on dividing the larger number by the smaller, we get 10 as quotient and the 10 as remainder
Options: a. 1234, b. 1110, c. 1456, d. 1200, e. 1600
Output: 

 b
Input: Problem: 2 men and 4 women are lined up in a row. what is the number of cases where they stand with each other in turn ? ( the number of cases in which men ( or women ) do not stand next to each other )
Options: a. 12, b. 15, c. 18, d. 21, e. 48
Output: 

 e
Input: Problem: how many positive integers less than 100 have a remainder of 3 when divided by 13 ?
Options: a. 6, b. 7, c. 8, d. 9, e. 3
Output: 

 e
Input: Problem: if 2 + 3 = 13; 3 + 5 = 31; 5 + 7 = 59, then 7 + 9 = ?
Options: a. 95, b. 86, c. 67, d. 98, e. 89
Output: 

 a
Input: Problem: in a fuel station the service costs $ 1.05 per car, every liter of fuel costs 0.6 $. assuming that you fill up 3 mini - vans and 2 trucks, how much money will the fuel cost to all the cars owners total, if a mini - van ' s tank is 65 liters and a truck ' s tank is 120 % bigger and they are all empty - ?
Options: a. 122.6 $, b. 128.9 $, c. 243.7 $, d. 293.85 $, e. 312.12 $
Output: 

 d
Input: Problem: what is the units digit of 26 ! + 50 ! + 4 ! + 4 ! ?
Options: a. 8, b. 6, c. 4, d. 2, e. 0
Output: 

 a
Input: Problem: the ratio of money with ram and gopal is 7: 17 and that with gopal and krishan is 7: 17. if ram has rs. 490, krishan has ?
Options: a. rs. 2890, b. rs. 2330, c. rs. 1190, d. rs. 1620, e. rs. 2680
Output: 

 a
Input: Problem: a man whose speed is 5.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey ?
Options: a. 1 kmph, b. 5 kmph, c. 6 kmph, d. 4 kmph, e. 7 kmph
Output: 

 b
Input: Problem: by selling an article for $ 225 a person gains $ 75. what is the gain % ?
Options: a. 25 %, b. 30 %, c. 50 %, d. 20 %, e. 10 %
Output: 

 c
Input: Problem: if the volume of the cube is 729 cm 3, then the surface area of the cube will be
Options: ['a. 486 sq. cm', 'b. 456 sq. cm', 'c. 446 sq. cm', 'd. 476 sq. cm', 'e. none of these']
Output: 

 a
Input: Problem: in 10 years, a will be twice as old as b was 10 years ago. if a is now 9 years older than b the present age of b is
Options: a. 37, b. 38, c. 39, d. 40, e. 41
Output: 

 c
Input: Problem: 10 % people of a village in sri lanka died by bombardment, 15 % of the remainder left the village on account of fear. if now the population is reduced to 2907, how much was it in the beginning ?
Options: a. a. 3800, b. b. 4200, c. c. 4400, d. d. 4500, e. e. 4600
Output: 

 a
Input: Problem: if ( 8000 ) ( 6000 ) = ( 480 ) ( 10 ^ y ), what is the value of y ?
Options: a. 5, b. 4, c. 3, d. 2, e. 1
Output: 

 a
Input: Problem: if x + y = 290, x - y = 200, for integers of x and y, y = ?
Options: a. 200, b. 245, c. 50, d. 115, e. 150
Output: 

 b
Input: Problem: a particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. these book are occasionally loaned out through an inter - library program. if, by the end of the month, 80 percent of books that were loaned out are returned and there are 69 books in the special collection at that time, how many books of the special collection were loaned out during that month ?
Options: a. 20, b. 30, c. 35, d. 40, e. 55
Output: 

 b
Input: Problem: it costs $ 5 for the first 1 / 3 hour to use the laundry machine at the laundromat. after the first ¼ hour it costs $ 12 per hour. if a certain customer uses the laundry machine for 2 hours and 30 minutes, how much will it cost him ?
Options: a. $ 27., b. $ 29., c. $ 31., d. $ 33., e. $ 35.
Output: 

 c
Input: Problem: how long does a bus 100 m long traveling at 50 kmph takes to cross a bridge of 150 m in length ?
Options: a. 18, b. 16, c. 15, d. 11, e. 12
Output: 

 a
Input: Problem: a part - time employee ’ s hourly wage was increased by 25 %. she decided to decrease the number of hours worked per week so that her total income did not change. by approximately what percent should the number of hours worked be decreased ?
Options: a. 9 %, b. 15 %, c. 20 %, d. 50 %, e. 100 %
Output: 

 c
Input: Problem: what is 15 % of 2 / 3 of 0.6 ?
Options: a. 0.06, b. 0.9, c. 9, d. 90, e. none of the above
Output: 

 a
Input: Problem: the difference between the place values of two eights in the numerical 38140482 is
Options: a. 7999920, b. 799920, c. 7920, d. 79920, e. none of them
Output: 

 a
Input: Problem: a student has to obtain 33 % of the total marks to pass. he got 125 marks and failed by 40 marks. the maximum marks are ?
Options: a. 450, b. 300, c. 500, d. 610, e. 175
Output: 

 c
Input: Problem: 11 times a number gives 132. the number is
Options: a. 11, b. 12, c. 13.2, d. none, e. can not be determined
Output: 

 b
Input: Problem: find the compound interest on $ 1000 in 2 years at 4 % per annum, the interest being compounded half - yearly ?
Options: a. $ 645.56, b. $ 82.43, c. $ 954.26, d. $ 745.69, e. $ 1020.45
Output: 

 b
Input: Problem: how many multiples of 3 are there between 10 and 100, exclusive ?
Options: a. 30, b. 29, c. 28, d. 31, e. 33
Output: 

 a
Input: Problem: a certain number of horses and an equal number of men are going somewhere. half of the owners are on their horses ' back while the remaining ones are walking along leading their horses. if the number of legs walking on the ground is 40, how many horses are there ?
Options: a. 8, b. 12, c. 14, d. 16, e. 18
Output: 

 a
Input: Problem: a train moves with a speed of 162 kmph. its speed in metres per second is
Options: a. 10.8, b. 18, c. 30, d. 38.8, e. 45
Output: 

 e
Input: Problem: the area of a square is equal to five times the area of a rectangle of dimensions 32 cm * 10 cm. what is the perimeter of the square ?
Options: ['a. 289 cm', 'b. 160 cm', 'c. 829 cm', 'd. 288 cm', 'e. 289 cm']
Output: 

 b
Input: Problem: if | x + 132 | = 32 what is the sum of all the values of x.
Options: a. - 264, b. 200, c. - 64, d. 0, e. - 328
Output: 

 a
Input: Problem: find the simple interest on rs. 69,000 at 16 2 / 3 % per year for 9 months.
Options: a. 7500, b. 6500, c. 8625, d. 9500, e. none of them
Output: 

 c
Input: Problem: the perimeter of a triangle is 42 cm and the inradius of the triangle is 5.0 cm. what is the area of the triangle ?
Options: a. 128 cm 2, b. 36.0 cm 2, c. 105 cm 2, d. 25 cm 2, e. 135 cm 2
Output: 

 c
Input: Problem: how many multiples of 10 are there between 10 and 290 ?
Options: a. 8, b. 18, c. 27, d. 51, e. 60
Output: 

 c
Input: Problem: a man sitting in a train which is traveling at 36 kmph observes that a goods train, traveling in opposite direction, takes 10 seconds to pass him. if the goods train is 240 m long, find its speed
Options: a. 50 kmph, b. 56 kmph, c. 58 kmph, d. 62 kmph, e. 72 kmph
Output: 

 a
Input: Problem: a shopkeeper sells 600 metres of cloth for rs. 18000 at a loss of rs. 5 per metre. find his cost price for one metre of cloth ?
Options: a. 12, b. 27, c. 29, d. 35, e. 21
Output: 

 d
Input: Problem: a group of 8 friends want to play doubles tennis. how many different ways can the group be divided into 4 teams of 2 people ?
Options: a. 420, b. 2520, c. 168, d. 90, e. 105
Output: 

 e
Input: Problem: if p ( a. = 5 / 7 and p ( b. = 2 / 5, find p ( a n b. if a and b are independent events.
Options: a. 7 / 25, b. 3 / 25, c. 8 / 25, d. 2 / 7, e. 3 / 17
Output: 

 d
Input: Problem: a student chose a number, multiplied it by 2, then subtracted 138 from the result and got 112. what was the number he chose ?
Options: a. 123, b. 267, c. 125, d. 267, e. 120
Output: 

 c
Input: Problem: of the 100 employees at company x, 80 are full - time, and 100 have worked at company x for at least a year. there are 20 employees at company x who aren ’ t full - time and haven ’ t worked at company x for at least a year. how many full - time employees of company x have worked at the company for at least a year ?
Options: a. 20, b. 30, c. 50, d. 80, e. 100
Output: 

 a
Input: Problem: 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 ?
Options: a. 4, b. 4 / 3, c. 4 / 5, d. 4 / 9, e. 7 / 13
Output: 

 e
Input: Problem: a number is doubled and 9 is added. if resultant is trebled, it becomes 63. what is that number
Options: a. 6, b. 10, c. 12, d. 14, e. 15
Output: 

 a
Input: Problem: oil cans x and y are right circular cylinders and the height and radius of y are each 4 times those of x. if the oil in can x filled to capacity sells for $ 2, how much does the oil in y sell for if y is only half filled ?
Options: a. $ 60, b. $ 52, c. $ 63, d. $ 64, e. $ 68
Output: 

 d
Input: Problem: a can finish a work in 72 days, b in 9 days and c in 2 days, b and c start the work but are forced to leave after 3 days. the remaining work was done by a in ?
Options: a. 30 days, b. 12 days, c. 6 days, d. 7 days, e. 8 days
Output: 

 a
Input: Problem: in a class of 40 students 26 play football and play 20 long tennis, if 17 play above, many play neither ?
Options: a. 6, b. 8, c. 10, d. 11, e. 14
Output: 

 d
Input: Problem: when two dice are tossed, what is the probability that the total score is a prime number ?
Options: a. 1 / 6, b. 3, c. 5 / 12, d. 7 / 12, e. 9 / 12
Output: 

 c
Input: Problem: line q has the equation 5 y – 3 x = 30. if line s is perpendicular to q, has an integer for its y - intercept, and intersects q in the second quadrant, then how many possible line s ’ s exist ? ( note: intersections on one of the axes do not count. )
Options: a. 22, b. 33, c. 36, d. 41, e. 58
Output: 

 a
Input: Problem: salad dressing p is made up of 30 % vinegar and 70 % oil, and salad dressing q contains 10 % vinegar and 90 % oil. if the two dressings are combined to produce a salad dressing that is 18 % vinegar, dressing p comprises what percentage of the new dressing ?
Options: a. 20 %, b. 30 %, c. 40 %, d. 50 %, e. 60 %
Output: 

 c
Input: Problem: what is the diagonal of a square field whose perimeter is 64 m ?
Options: a. 15 m, b. 16 √ 2 m, c. 20 m, d. 25 m, e. 18 m
Output: 

 b
Input: Problem: the price of an item is discounted 10 percent on day 1 of a sale. on day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 30 percent. the price of the item on day 3 is what percentage of the sale price on day 1 ?
Options: a. 28 %, b. 63 %, c. 64.8 %, d. 70 %, e. 72 %
Output: 

 b
Input: Problem: the number 181 can be written as sum of the squares of 2 different positive integers. what is the difference of these 2 different integers ?
Options: a. 3, b. 2, c. 1, d. 4, e. 5
Output: 

 c
Input: Problem: the area of a square land is a square feet and the perimeter is p feet. if 5 a = 10 p + 45, what is the perimeter of the land, in feet ?
Options: ['a. 18', 'b. 56', 'c. 40', 'd. 36', 'e. 64']
Output: 

 d
Input: Problem: how long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 625 meters in length ?
Options: a. 62, b. 72, c. 55, d. 82, e. 52.7
Output: 

 e
Input: Problem: two bullet train s 140 m and 210 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time ( in seconds ) which they take to cross each other, is :
Options: a. 15.8 sec., b. 12.6 sec., c. 11.8 sec., d. 10.8 sec., e. 08.8 sec.
Output: 

 b
Input: Problem: 9. on level farmland, two runners leave at the same time from the intersection of two country roads. one runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 8 miles per hour faster than the first runner ' s rate. how far apart, to the nearest mile, will they be after 1 / 2 hour ?
Options: a. 6, b. 7, c. 8, d. 12, e. 9
Output: 

 e
Input: Problem: ram, who is half as efficient as krish, will take 21 days to complete a task if he worked alone. if ram and krish worked together, how long will they take to complete the task ?
Options: a. 16 days, b. 12 days, c. 8 days, d. 7 days, e. 18 days
Output: 

 d
Input: Problem: the sum of two numbers is 20 and the sum of their squares is 140. find the product of the two numbers.
Options: a. 130, b. 140, c. 120, d. 145, e. 150
Output: 

 a
Input: Problem: a father and his son are waiting at a bus stop in the evening. there is a lamp post behind them. the lamp post, the father and his son stand on the same straight line. the father observes that the shadows of his head and his son ’ s head are incident at the same point on the ground. if the heights of the lamp post, the father and his son are 6 metres, 1.8 metres and 0.9 metres respectively, and the father is standing 2.1 metres away from the post, then how far ( in metres ) is the son standing from his father ?
Options: a. 0.9, b. 0.75, c. 0.6, d. 0.45, e. none of these
Output: 

 d
Input: Problem: a can finish a work in 18 days and b can do the same work in half the time taken by a. then, working together what part of the same work they can finish in a day ?
Options: a. 1 / 2, b. 1 / 3, c. 1 / 6, d. 2 / 5, e. 2 / 9
Output: 

 c
Input: Problem: tom opened a shop investing rs. 3000. jose joined him 2 months later, investing rs. 4500. they earned a profit of rs. 5400 after completion of one year. what will be jose ' s share of profit ?
Options: a. 3000, b. 2200, c. 2309, d. 2400, e. 3200
Output: 

 a