Lots-of-LoRAs/task1678_mathqa_answer_selection huggingface dataset:
Input: Problem: 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
Output: 

 e
Input: Problem: ritesh and co. generated revenue of rs. 1,600 in 2006. this was 12.5 % of its gross revenue. in 2007, the gross revenue grew by rs. 2,500. what is the percentage increase in the revenue in 2007 ?
Options: a. 12.5 %, b. 19.53 %, c. 25 %, d. 50 %, e. none of these
Output: 

 b
Input: Problem: how many multiples of 4 are there between 12 and 104, inclusive ?
Options: a. 21, b. 22, c. 23, d. 24, e. 25
Output: 

 d
Input: Problem: what is the least number which should be added to 2597 so that the sum is exactly divisible by 5, 6, 4, and 3 ?
Options: a. 17, b. 23, c. 26, d. 35, e. 43
Output: 

 e
Input: Problem: xavier, yvonne, and zelda each try independently to solve a problem. if their individual probabilities for success are 1 / 3, 1 / 2 and 5 / 8, respectively, what is the probability that xavier and yvonne, but not zelda, will solve the problem ?
Options: a. 1 / 16, b. 7 / 8, c. 9 / 64, d. 5 / 64, e. 3 / 64
Output: 

 a
Input: Problem: there is a rectangular prism made of 1 in cubes that has been covered in tin foil. there are exactly 128 cubes that are not touching any tin foil on any of their sides. if the width of the figure created by these 128 cubes is twice the length and twice the height, what is the measure y in inches of the width of the foil covered prism ?
Options: a. 4, b. 6, c. 8, d. 9, e. 10
Output: 

 e
Input: Problem: the l. c. m of two numbers is 495 and their h. c. f is 5. if the sum of the numbers is 100, then their difference is
Options: a. 19, b. 10, c. 28, d. 27, e. 29
Output: 

 b
Input: Problem: on a sum of money, the simple interest for 2 years is rs. 327, while the compound interest is rs. 340, the rate of interest being the same in both the cases. the rate of interest is
Options: a. 15 %, b. 14.25 %, c. 7.95 %, d. 10.5 %, e. 11.5 %
Output: 

 c
Input: Problem: the average of 45 results is 25 and the average of other 25 results is 45. what is the average of all the results ?
Options: a. 24, b. 32, c. 48, d. 50, e. none
Output: 

 b
Input: Problem: a group of men decided to do a work in 55 days, but 15 of them became absent. if the rest of the group did the work in 60 days, find the original number of men ?
Options: a. 180, b. 150, c. 140, d. 100, e. 25
Output: 

 a
Input: Problem: a certain fraction is equivalent to 2 / 5. if the numerator of the fraction is increased by 4 and the denominator is doubled, the new fraction is equivalent to 1 / 3. what is the difference of the numerator and denominator of the original fraction ?
Options: a. 49, b. 9, c. 28, d. 26, e. 21
Output: 

 b
Input: Problem: ake can dig a well in 16 days. paul can dig the same well in 24 days. jake, paul and hari together dig the well in 8 days. hari alone can dig the well in
Options: a. 48, b. 39, c. 37, d. 27, e. 29
Output: 

 a
Input: Problem: a train running at the speed of 48 km / hr crosses a pole in 9 seconds. what is the length of the train ?
Options: a. 140, b. 130, c. 120, d. 170, e. 160
Output: 

 c
Input: Problem: a computer manufacturer produces a certain electronic component at a cost of $ 80 per component. shipping costs for delivering the components are $ 2 per unit. further, the manufacturer has costs of $ 16,200 a month related to the electronic component regardless of how many it produces. if the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ?
Options: a. $ 28, b. $ 82, c. $ 110, d. $ 190, e. $ 192
Output: 

 d
Input: Problem: yesterday ' s closing prices of 2,420 different stocks listed on a certain stock exchange were all different from today ' s closing prices. the number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. how many of the stocks closed at a higher price today than yesterday ?
Options: a. 484, b. 726, c. 1,100, d. 1,320, e. 1,694
Output: 

 d
Input: Problem: country c imposes a two - tiered tax on imported cars: the first tier imposes a tax of 12 % of the car ' s price up to a certain price level. if the car ' s price is higher than the first tier ' s level, the tax on the portion of the price that exceeds this value is 8 %. if ron imported a $ 14,000 imported car and ended up paying $ 1640 in taxes, what is the first tier ' s price level ?
Options: a. $ 1600, b. $ 6000, c. $ 6050, d. $ 7050, e. $ 13000
Output: 

 e
Input: Problem: of the total amount that jill spent on a shopping trip, excluding taxes, she spent 60 percent on clothing, 20 percent on food, and 20 percent on other items. if jill paid a 10 percent tax on the clothing, no tax on the food, and an 10 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes ?
Options: a. 10, b. 20, c. 30, d. 25, e. 15
Output: 

 a
Input: Problem: x and y started a business by investing rs. 36000 and rs. 42000 respectively after 4 months z joined in the business with an investment of rs. 48000, then find share of z in the profit of rs. 14190 ?
Options: a. 3200, b. 4000, c. 3250, d. 4128, e. 3985
Output: 

 d
Input: Problem: what quantity of water should taken out to concentrate 27 liters of 40 % acidic liquid to 60 % acidic liquid ?
Options: a. 5 liters, b. 10 liters, c. 15 liters, d. 9 liters, e. 6 liters
Output: 

 d
Input: Problem: at veridux corporation, there are 215 employees. of these, 90 are female, and the rest are males. there are a total of 40 managers, and the rest of the employees are associates. if there are a total of 135 male associates, how many female managers are there ?
Options: a. 50, b. 20, c. 25, d. 30, e. 35
Output: 

 a
Input: Problem: on the first day of her vacation, louisa traveled 160 miles. on the second day, traveling at the same average speed, she traveled 280 miles. if the 160 - mile trip took 3 hours less than the 280 - mile trip, what was the average speed, in miles per hour ?
Options: a. 40, b. 45, c. 46, d. 48, e. 50
Output: 

 a
Input: Problem: the length of a train and that of a platform are equal. if with a speed of 108 k / hr, the train crosses the platform in one minute, then the length of the train ( in meters ) is ?
Options: a. 299, b. 266, c. 299, d. 900, e. 261
Output: 

 d
Input: Problem: if sharon ' s weekly salary increased by 16 percent, she would earn $ 348 per week. if instead, her weekly salary were to increase by 15 percent, how much would she earn per week ?
Options: a. $ 374, b. $ 382, c. $ 345, d. $ 392, e. $ 399
Output: 

 c
Input: Problem: a part - time employee ’ s hourly wage was increased by 10 %. 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. 25 %, d. 50 %, e. 100 %
Output: 

 a
Input: Problem: 9.99 x 9.9 x 9 ÷ 9.9 ÷ 0.3 = ?
Options: a. 276, b. 299, c. 310, d. 3.33, e. 365
Output: 

 d
Input: Problem: a man buys 54 pens at marked price of 46 pens from a whole seller. if he sells these pens giving a discount of 1 %, what is the profit percent ?
Options: a. 7.6 %, b. 7.7 %, c. 16.21 %, d. 13.6 %, e. 7.8 %
Output: 

 c
Input: Problem: the average salary of 20 people in the shipping department at a certain firm is $ 1000. the salary of 10 of the employees is $ 600 each and the salary of 6 of the employees is $ 200 each. what is the average salary of the remaining employees ?
Options: a. $ 2500, b. $ 3200, c. $ 4500, d. $ 5000, e. $ 5200
Output: 

 b
Input: Problem: the c. p of 10 pens is equal to the s. p of 5 pens. find his gain % or loss % ?
Options: a. 50 %, b. 40 %, c. 30 %, d. 60 %, e. 20 %
Output: 

 a
Input: Problem: the perimeter of a semi circle is 180 cm then the radius is ?
Options: a. 22, b. 28, c. 35, d. 37, e. 13
Output: 

 c
Input: Problem: a metallic sheet is of rectangular shape with dimensions 48 m x 36 m. from each of its corners, a square is cut off so as to make an open box. if the length of the square is 4 m, the volume of the box ( in m 3 ) is :
Options: a. 4480, b. 5120, c. 6420, d. 8960, e. 7960
Output: 

 a
Input: Problem: in n is a positive integer less than 200, and 14 n / 60 is an integer, then n has how many different positive prime factors a ?
Options: a. 2, b. 3, c. 5, d. 6, e. 8
Output: 

 b
Input: Problem: the speed at which a man can row a boat in still water is 9 kmph. if he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres ?
Options: a. 16 seconds, b. 34 seconds, c. 14 seconds, d. 18 seconds, e. 15 seconds
Output: 

 d
Input: Problem: 5 men are equal to as many women as are equal to 8 boys. all of them earn rs. 120 only. men â € ™ s wages are ?
Options: a. 6 rs, b. 2 rs, c. 4 rs, d. 9 rs, e. 8 rs
Output: 

 e
Input: Problem: the radius of a wheel is 22.5 cm. what is the distance covered by the wheel in making 500 resolutions ?
Options: a. 708 m, b. 707.14 m, c. 774 m, d. 714 m, e. 744 m
Output: 

 b
Input: Problem: a reduction of 22 % in the price of salt enables a lady to obtain 10 kgs more for rs. 100, find the original price per kg ?
Options: a. s. 2.82, b. s. 2.4, c. s. 2.5, d. s. 2.2, e. s. 2.1
Output: 

 a
Input: Problem: if a sum of money doubles itself in 20 years at simple interest, the ratepercent per annum is
Options: a. 12, b. 12.5, c. 13, d. 5, e. 14
Output: 

 d
Input: Problem: the average weight of 4 students decreases by 8 kg when one of them weighing 96 kg is replaced by a new student. the weight of the student is
Options: a. 62 kg, b. 60 kg, c. 64 kg, d. 72 kg, e. none of these
Output: 

 c
Input: Problem: the average age of a group of n people is 14 years old. one more person aged 32 joins the group and the new average is 16 years old. what is the value of n ?
Options: a. 5, b. 6, c. 7, d. 8, e. 9
Output: 

 d
Input: Problem: find the smallest number which should be multiplied with 560 to make it a perfect square.
Options: a. 60, b. 55, c. 45, d. 25, e. 35
Output: 

 e
Input: Problem: a salesman sold twice as much pears in the afternoon than in the morning. if he sold $ 390 kilograms of pears that day, how many kilograms did he sell in the afternoon ?
Options: a. 120, b. 180, c. 260, d. 280, e. 320
Output: 

 c
Input: Problem: how many numbers between 400 and 1000 can be made with the digits 2, 3,4, 5,6 and 0 ?
Options: a. 30, b. 60, c. 90, d. 120, e. 150
Output: 

 b
Input: Problem: 40 is subtracted from 70 % of a number, the result is 30. find the number ?
Options: a. 150, b. 997, c. 266, d. 288, e. 100
Output: 

 e
Input: Problem: there are, in a certain league, 20 teams, and each team face another team for a total of 10 times. how many games are played in the season ?
Options: a. 1900, b. 3600, c. 2400, d. 180, e. 5400
Output: 

 a
Input: Problem: if two positive numbers are in the ratio 1 / 7: 1 / 4, then by what percent is the second number more than the first ?
Options: a. 67 %., b. 70 %., c. 75 %., d. 68 %., e. 80 %.
Output: 

 c
Input: Problem: the sum of 33 consecutive integers is 3333. what is the greatest integer in the set ?
Options: a. 113, b. 115, c. 117, d. 119, e. 121
Output: 

 c
Input: Problem: two trains travelling in the same direction at 50 and 40 kmph completely pass off another in 1 1 / 2 minute. if the length of the first train is 125 m, what is the length of the second train ?
Options: a. 300 m, b. 287 m, c. 125 m, d. 250 m, e. 167 m
Output: 

 c
Input: Problem: a train 50 m long takes 6 sec to cross a man walking at 5 kmph in a direction opposite to that of the train. find the speed of the train ?
Options: a. 15 kmph, b. 25 kmph, c. 35 kmph, d. 45 kmph, e. 55 kmph
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 q 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: two trains of equal length are running on parallel lines in the same directions at 46 km / hr. and 36 km / hr. the faster trains pass the slower train in 18 seconds. the length of each train is :
Options: a. 25 m, b. 50 m, c. 72 m, d. 80 m, e. none of these
Output: 

 a
Input: Problem: for each color copy, print shop x charges $ 1.20 and print shop y charges $ 1.70. how much greater is the charge for 40 color copies at print shop y than at print shop x ?
Options: a. $ 14, b. $ 16, c. $ 18, d. $ 20, e. $ 22
Output: 

 d
Input: Problem: if anangletis defined as 1 percent of 1 degree, then how many anglets are there in a third circle ?
Options: a. 0.36, b. 3.6, c. 12,000, d. 3,600, e. 36,000
Output: 

 c
Input: Problem: how many liters of a 40 % iodine solution need to be mixed with 35 liters of a 20 % iodine solution to create a 32 % iodine solution ?
Options: a. 35, b. 49, c. 100, d. 102, e. 140
Output: 

 d
Input: Problem: of 60 children, 30 are happy, 10 are sad, and 20 are neither happy nor sad. there are 19 boys and 41 girls. if there are 6 happy boys and 4 sad girls, how many boys are neither happy nor sad ?
Options: a. 2, b. 7, c. 6, d. 8, e. 10
Output: 

 b
Input: Problem: 100 people are attending a newspaper conference. 35 of them are writers and more than 38 are editors. of the people at the conference, x are both writers and editors and 2 x are neither. what is the largest possible number of people who are both writers and editors ?
Options: a. 21, b. 26, c. 28, d. 30, e. 32
Output: 

 b
Input: Problem: a cistern which could be filled in 8 hours takes one hour more to be filled owing to a leak in its bottom. if the cistern is full in what time will the leak empty it ?
Options: a. 76 hrs, b. 99 hrs, c. 55 hrs, d. 90 hrs, e. 40 hrs
Output: 

 e
Input: Problem: the area of a triangle is with base 2 m and height 3 m ?
Options: a. 11, b. 10, c. 787, d. 3, e. 12
Output: 

 d
Input: Problem: a and b together can do a work in 6 days. if a alone can do it in 10 days. in how many days can b alone do it ?
Options: a. 10, b. 15, c. 77, d. 55, e. 21
Output: 

 b
Input: Problem: a train crosses a bridge of length 200 m in 10 seconds and a lamp post on the bridge in 5 seconds. what is the length of the train in metres ?
Options: a. 375 m, b. 750 m, c. 200 m, d. 800 m, e. 300 m
Output: 

 c
Input: Problem: what is the remainder when ( 63 ) ( 65 ) is divided by 8 ?
Options: a. 1, b. 2, c. 4, d. 5, e. 7
Output: 

 e
Input: Problem: 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. 2430 ?
Options: a. s. 432, b. s. 486, c. s. 822, d. s. 812, e. s. 810
Output: 

 b
Input: Problem: what percent of 150 is 40 ?
Options: a. 0.25 %, b. 26.67 %, c. 25 %, d. 40 %, e. 250 %
Output: 

 b
Input: Problem: the average weight of 4 person ' s increases by 8.5 kg when a new person comes in place of one of them weighing 95 kg. what might be the weight of the new person ?
Options: a. 129 kg, b. 134 kg, c. 180 kg, d. 185 kg, e. 190 kg
Output: 

 a
Input: Problem: at what rate percent on simple interest will rs. 1500 amount to rs. 2000 in 5 years ?
Options: a. 8.33 %, b. 3 6 / 7 %, c. 2 6 / 7 %, d. 5 %, e. 6 %
Output: 

 a
Input: Problem: ravi purchased a refrigerator and a mobile phone for rs. 15000 and rs. 8000 respectively. he sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 11 percent. overall he make a.
Options: a. 228, b. 288, c. 27, d. 200, e. 280
Output: 

 e
Input: Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet. what is the cost of white washing the four walls of the room at rs. 10 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ?
Options: a. s. 9060, b. s. 4520, c. s. 4527, d. s. 4530, e. s. 4521
Output: 

 a
Input: Problem: sheila works 8 hours per day on monday, wednesday and friday, and 6 hours per day on tuesday and thursday. she does not work on saturday and sunday. she earns $ 468 per week. how much does she earn in dollars per hour ?
Options: a. 2, b. 8, c. 9, d. 11, e. 13
Output: 

 e
Input: Problem: 17 balls are numbered 1 to 17. a ball is drawn and then another ball is drawn without replacement. what is the probability that both balls have even numbers ?
Options: a. 1 / 7, b. 3 / 14, c. 5 / 23, d. 7 / 34, e. 9 / 41
Output: 

 d
Input: Problem: if x = the product of 7 distinct prime numbers, how many factors does x have besides 1 and itself ?
Options: a. 108, b. 114, c. 120, d. 126, e. 132
Output: 

 d
Input: Problem: 1399 x 1399
Options: a. 1957201, b. 1981709, c. 18362619, d. 2031719, e. none of these
Output: 

 a
Input: Problem: a hollow iron pipe is 21 cm long and its external diameter is 8 cm. if the thickness of the pipe is 1 cm and iron weighs 8 g / cm 3, then the weight of the pipe is :
Options: a. 3.6 kg, b. 3.696 kg, c. 36 kg, d. 36.9 kg, e. none
Output: 

 b
Input: Problem: when 242 is divided by a certain divisor the remainder obtained is 15. when 698 is divided by the same divisor the remainder obtained is 27. however, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 5. what is the value of the divisor ?
Options: a. 11, b. 17, c. 13, d. 23, e. 37
Output: 

 e
Input: Problem: of the 200 stamps in a collection, 90 are foreign and 80 are more than 10 years old. if 20 stamps are both foreign and more than 10 years old, how many stamps are neither foreign nor more than 10 years old ?
Options: a. 50, b. 80, c. 100, d. 130, e. 150
Output: 

 a
Input: Problem: a card game called “ high - low ” divides a deck of 52 playing cards into 2 types, “ high ” cards and “ low ” cards. there are an equal number of “ high ” cards and “ low ” cards in the deck and “ high ” cards are worth 2 points, while “ low ” cards are worth 1 point. if you draw cards one at a time, how many ways can you draw “ high ” and “ low ” cards to earn 7 points if you must draw exactly 5 “ low ” cards ?
Options: a. 6, b. 2, c. 3, d. 4, e. 5
Output: 

 a
Input: Problem: the radius of the wheel of a bus is 100 cms and the speed of the bus is 66 km / h, then the r. p. m. ( revolutions per minutes ) of the wheel is
Options: a. 175, b. 250, c. 300, d. 330, e. none of these
Output: 

 a
Input: Problem: a corporation that had $ 115.19 billion in profits for the year paid out $ 230.10 million in employee benefits. approximately what percent of the profits were the employee benefits ? ( note: 1 billion = 10 ^ 9 )
Options: a. 50 %, b. 20 %, c. 5 %, d. 2 %, e. 0.2 %
Output: 

 e
Input: Problem: a sum fetched a total simple interest of $ 4061.25 at the rate of 9 p. c. p. a. in 5 years. what is the sum ?
Options: a. $ 8829, b. $ 2840, c. $ 6578, d. $ 7782, e. $ 8926
Output: 

 e
Input: Problem: how many cuboids of length 5 m, width 3 m and height 2 m can be farmed from a cuboid of 12 m length, 14 m width and 10 m height.
Options: a. 82, b. 56, c. 80, d. 56, e. 100
Output: 

 b
Input: Problem: convert 2 / 5 to a decimal
Options: a. 0.1, b. 0.2, c. 0.3, d. 0.4, e. 0.5
Output: 

 d
Input: Problem: the ratio of males to females in a class is 2: 3. the career preferences of the students in the class are represented in a circle graph. if the area of the graph allocated to each career preference is proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one - half of the males and three - fourths of the females in the class ?
Options: a. 218, b. 226, c. 234, d. 242, e. 250
Output: 

 c
Input: Problem: a hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 30 kilometers per hour. the cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate. how many minutes must the cyclist wait until the hiker catches up ?
Options: a. 7.5, b. 15, c. 17.5, d. 25, e. 32.5
Output: 

 e
Input: Problem: it is decided to construct a 2 metre broad pathway around a rectangular plot on the inside. if the area of the plots is 96 sq. m. and the rate of construction is rs. 50 per square metre., what will be the total cost of the construction ?
Options: ['a. rs. 3500', 'b. rs. 4200', 'c. insufficient data', 'd. rs. 4400', 'e. none of these']
Output: 

 c
Input: Problem: a train is 250 meter long is running at a speed of 36 km / hour. in what time will it pass a station of 200 meter length ?
Options: a. 28 seconds, b. 27 seconds, c. 45 seconds, d. 26 seconds, e. 18 seconds
Output: 

 c
Input: Problem: 39 men can complete a piece of work in 18 days. in how many days will 27 men complete the same work ?
Options: a. 24, b. 77, c. 26, d. 25, e. 13
Output: 

 c
Input: Problem: a train travels at the rate of 10 miles / hr for the first hour of a trip, at 20 miles / hr for the second hour, at 30 miles / hr for the third hour and so on. how many hours will it take the train to complete a 360 - mile journey ? assume that the train makes no intermediate stops.
Options: a. 8, b. 8.5, c. 9, d. 9.5, e. 10
Output: 

 a
Input: Problem: twelve machines, each working at the same constant rate, together can complete a certain job in 6 days. how many additional machines, each working at the same constant rate, will be needed to complete the job in 3 days ?
Options: a. 14, b. 12, c. 15, d. 16, e. 18
Output: 

 b
Input: Problem: a bag contains 3 blue and 5 white marbles. one by one, marbles are drawn out randomly until only two are left in the bag. what is the probability w that out of the two, one is white and one is blue ?
Options: a. 15 / 56, b. 41 / 56, c. 13 / 28, d. 15 / 28, e. 5 / 14
Output: 

 d
Input: Problem: a, b and c can do a piece of work in 24 days, 30 days and 40 days respectively. they began the work together but c left 12 days before the completion of the work. in how many days was the work completed ?
Options: a. 13 days, b. 16 days, c. 18 days, d. 11 days, e. 38 days
Output: 

 a
Input: Problem: if a ã — b = 2 a - 3 b + ab, then 3 ã — 2 + 2 ã — 3 is equal to :
Options: a. 7, b. 8, c. 9, d. 25, e. 26
Output: 

 a
Input: Problem: if 15 % of a is the same as 40 % of b, then a: b is :
Options: a. 5: 4, b. 8: 3, c. 7: 16, d. 2: 17, e. 3: 5
Output: 

 b
Input: Problem: john left home and drove at the rate of 45 mph for 2 hours. he stopped for lunch then drove for another 3 hours at the rate of 45 mph to reach his destination. how many miles did john drive ?
Options: a. 235 miles., b. 245 miles., c. 225 miles., d. 265 miles., e. 275 miles.
Output: 

 c
Input: Problem: on dividing 109 by a number, the quotient is 9 and the remainder is 1. find the divisor
Options: a. 12, b. 14, c. 18, d. 22, e. 24
Output: 

 a
Input: Problem: if p # q denotes the least common multiple of p and q, then e = ( ( 12 # 16 ) # ( 18 # 24 ) ) = ?
Options: a. 216, b. 180, c. 144, d. 108, e. 72
Output: 

 c
Input: Problem: how many diagonals does a polygon with 13 sides have, if one of its vertices does not connect to any diagonal ?
Options: a. 65, b. 62, c. 58, d. 54, e. 60
Output: 

 d
Input: Problem: if a person walks at 25 km / hr instead of 10 km / hr, he would have walked 20 km more. the actual distance traveled by him is :
Options: a. 50 km, b. 56 km, c. 13.3 km, d. 70 km, e. 80 km
Output: 

 c
Input: Problem: if k and w are the dimensions of a rectangle that has area 48, and if k and w are integers such that k > w, what is the total number of possible values of k ?
Options: a. four, b. three, c. two, d. five, e. six
Output: 

 a
Input: Problem: difference between the length & breadth of a rectangle is 30 m. if its perimeter is 300 m, then its area is ? ? we have: ( l - b. = 30 and 2 ( l + b. = 300 or ( l + b. = 150 ?
Options: a. 3: 5, b. 2: 3, c. 3: 6, d. 3: 4, e. 3: 2
Output: 

 e