Lots-of-LoRAs/task1678_mathqa_answer_selection huggingface dataset:
Input: Problem: mr. parkin invested in fund z and fund b. the total amount she invested, in both funds combined, was $ 100000. in one year, fund z paid 23 % and fund b paid 17 %. the interest earned in fund b was exactly $ 200 greater than the interest earned in fund z. how much did ms. morris invest in fund z ?
Options: a. $ 32000, b. $ 36000, c. $ 40000, d. $ 42000, e. $ 45000
Output: 

 d
Input: Problem: the sum of the ages of 5 children born at the intervals of 3 year each is 50 year. what is the age of the eldest child ?
Options: a. 16 year, b. 8 year, c. 10 year, d. none of these, e. 9 year
Output: 

 a
Input: Problem: in a garden, there are 10 rows and 12 columns of mango trees. the distance between the two trees is 2 m and a distance of one meter is left from all sides of the boundary of the length of the garden is :
Options: a. 450 sq mtrs, b. 460 sq mtrs, c. 480 sq mtrs, d. 490 sq mtrs, e. 470 sq mtrs
Output: 

 c
Input: Problem: a store reported total sales of $ 460 million for february of this year. if the total sales for the same month last year was $ 320 million, approximately what was the percent increase in sales ?
Options: a. 2 %, b. 17 %, c. 44 %, d. 65 %, e. 83 %
Output: 

 c
Input: Problem: if the cost price of 60 articles is equal to the selling price of 40 articles, then what is the percent profit ?
Options: a. 30 %, b. 40 %, c. 50 %, d. 60 %, e. 70 %
Output: 

 c
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 72 seconds. the length of each train is :
Options: a. 82 m, b. 50 m, c. 72 m, d. 100 m, e. none of these
Output: 

 d
Input: Problem: the ratio between the length and the breadth of a rectangular park is 1: 3. if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 8 min, then the area of the park ( in sq. m ) is ?
Options: a. 124545 m, b. 134561 m, c. 156787 m, d. 15450 m, e. 120000 m
Output: 

 e
Input: Problem: a man fell in a 30 meter deep well, in one day he climbs 4 meters up and slips 3 meters down. how many days would it take for him to come out of the well ?
Options: a. 22, b. 46, c. 17, d. 27, e. 33
Output: 

 d
Input: Problem: how many multiples of 4 are less than 6540, and also multiples of 7 ?
Options: a. 234, b. 208, c. 340, d. 237, e. 267
Output: 

 a
Input: Problem: a class of 20 students took a science test. 10 students had an average ( arithmetic mean ) score of 80. the other students had an average score of 60. what is the average score of the whole class ?
Options: a. 70, b. 60, c. 55, d. 65, e. 85
Output: 

 a
Input: Problem: winson traveled the entire 60 miles trip. if he did the first 10 miles of at a constant rate 20 miles per hour and the remaining trip of at a constant rate 48 miles per hour, what is the his average speed, in miles per hour ?
Options: a. 20 mph, b. 24 mph, c. 30 mph, d. 32 mph, e. 40 mph
Output: 

 e
Input: Problem: a, b and c started a business with capitals of rs. 8000, rs. 10000 and rs. 12000 respectively. at the end of the year, the profit share of b is rs. 2500. the difference between the profit shares of a and c is ?
Options: a. 621, b. 276, c. 236, d. 1000, e. 211
Output: 

 d
Input: Problem: 13 buckets of water fill a tank when the capacity of each bucket is 51 litres. how many buckets will be needed to fill the same tank, if the capacity of each bucket is 17 litres ?
Options: a. 39, b. 28, c. 23, d. 12, e. 24
Output: 

 a
Input: Problem: a parking garage rents parking spaces for $ 10 per week or $ 25 per month. how much does a person save in a year by renting by the month rather than by the week ?
Options: a. $ 120, b. $ 160, c. $ 220, d. $ 240, e. $ 260
Output: 

 a
Input: Problem: the total age of a and b is 12 year more than the total age of b and c. c is how many years younger than a ?
Options: a. 12, b. 24, c. data inadequate, d. none of these, e. 34
Output: 

 a
Input: Problem: in an election, candidate a got 55 % of the total valid votes. if 15 % of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate ?
Options: a. 261800, b. 355800, c. 356500, d. 356800, e. 357000
Output: 

 a
Input: Problem: the average of 6 no. ' s is 3.95. the average of 2 of them is 4.2, while the average of theother 2 is 3.85. what is the average of the remaining 2 no ' s ?
Options: a. 4.2, b. 4.4, c. 4.6, d. 3.8, e. 5.7
Output: 

 d
Input: Problem: a shopkeeper sells 200 metres of cloth for rs. 12000 at a loss of rs. 12 per metre. find his cost price for one metre of cloth ?
Options: a. s. 59, b. s. 72, c. s. 62, d. s. 50, e. s. 13
Output: 

 b
Input: Problem: a 90 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other, how many centimeters will the shorter piece be ?
Options: a. 25, b. 20, c. 47, d. 36, e. 30
Output: 

 a
Input: Problem: if 6 women can color 180 m long cloth in 3 days, then 5 women can color 200 m long cloth in ?
Options: a. 6 days, b. 5 days, c. 4 days, d. 2 days, e. 3 days
Output: 

 c
Input: Problem: lagaan is levied on the 60 percent of the cultivated land. the revenue department collected total rs. 3, 84,000 through the lagaan from the village of mutter. mutter, a very rich farmer, paid only rs. 480 as lagaan. the percentage of total land of mutter over the total taxable land of the village is :
Options: a. 0.20833, b. 0.14544, c. 0.25632, d. 0.35466, e. 0.63435
Output: 

 a
Input: Problem: a train 110 m long is running with a speed of 82 km / hr. in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?
Options: a. 7 sec, b. 6 sec, c. 8 sec, d. 4.5 sec, e. 2 sec
Output: 

 d
Input: Problem: if n = 10 ^ 100 and n ^ n = 10 k what is the value of k ?
Options: a. 200, b. 10 ^ 100, c. 10 ^ 102, d. 100 ^ 100, e. 1000 ^ 10
Output: 

 c
Input: Problem: if 5 x = 3 y and xy ≠ 0, what is the ratio of 1 / 5 * x to 1 / 6 * y ?
Options: a. 25 / 6, b. 36 / 25, c. 18 / 25, d. 5 / 6, e. 25 / 36
Output: 

 c
Input: Problem: the average of first 5 multiples of 5 is
Options: a. 3, b. 6, c. 9, d. 12, e. 15
Output: 

 e
Input: Problem: x can finish a work in 24 days. y can finish the same work in 16 days. yworked for 10 days and left the job. how many days does x alone need to finish the remaining work ?
Options: a. 3, b. 5, c. 6, d. 8, e. 9
Output: 

 e
Input: Problem: annie and sam set out together on bicycles traveling at 15 and 12 km per hour respectively. after 40 minutes, annie stops to fix a flat tire. if it takes annie 30 minutes to fix the flat tire and sam continues to ride during this time, how many minutes will it take annie to catch up with sam assuming that annie resumes riding at 15 km per hour ?
Options: a. 20, b. 40, c. 60, d. 80, e. 100
Output: 

 d
Input: Problem: a can do a piece of work in 15 days. a does the work for 5 days only and leaves the job. b does the remaining work in 6 days. in how many days b alone can do the work ?
Options: a. 5 days, b. 7 days, c. 12 days, d. 9 days, e. 10 days
Output: 

 d
Input: Problem: the cost of paint is 60 per kilograme. a kilogram paint covers 20 square feet. how much will it cost to paint the outside of a cube having each side 10 feet ?
Options: ['a. 3000', 'b. 900', 'c. 1800', 'd. 360', 'e. none of these']
Output: 

 c
Input: Problem: a feed store sells two varieties of birdseed: brand a, which is 40 % millet and 60 % sunflower, and brand b, which is 65 % millet and 35 % safflower. if a customer purchases a mix of the two types of birdseed that is 50 % millet, what percent of the mix is brand b ?
Options: a. 40 %, b. 45 %, c. 50 %, d. 60 %, e. 55 %
Output: 

 a
Input: Problem: if julie rows 32 km upstream and 72 km down steam taking 4 hours each, then the speed of the stream
Options: a. 1.5 kmph, b. 0.5 kmph, c. 0.4 kmph, d. 1.6 kmph, e. 2.5 kmph
Output: 

 b
Input: Problem: if p and q are prime numbers, how many divisors does the product p ^ 4 * q ^ 5 have ?
Options: a. 30, b. 40, c. 45, d. 50, e. 56
Output: 

 a
Input: Problem: the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. if the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. what is the average of the team ?
Options: a. 23, b. 25, c. 30, d. 22, e. 40
Output: 

 a
Input: Problem: mr. loyd wants to fence his square shaped land of 60 sqft each side. if a pole is laid every 12 ft how many poles do he need ?
Options: a. 20, b. 30, c. 40, d. 50, e. 60
Output: 

 a
Input: Problem: the charge for a single room at hotel p is 20 percent less than the charge for a single room at hotel r and 10 percent less than the charge for a single room at hotel g. the charge for a single room at hotel r is what percent greater than the charge for a single room at hotel g ?
Options: a. 15 %, b. 20 %, c. 12.5 %, d. 50 %, e. 150 %
Output: 

 c
Input: Problem: in may, the groundskeeper at spring lake golf club built a circular green with an area of 65 π square feet. in august, the groundskeeper doubled the distance from the center of the green to the edge of the green. what is the total area of the renovated green ?
Options: a. 105 π, b. 130 π, c. 200 π, d. 260 π, e. 320 π
Output: 

 d
Input: Problem: the sum of three consecutive even numbers is 60. find the middle number of the three ?
Options: a. 14, b. 60, c. 18, d. 70, e. 45
Output: 

 b
Input: Problem: what is the prime factors ’ number of 12 ?
Options: a. 2, b. 3, c. 4, d. 5, e. 6
Output: 

 b
Input: Problem: in what time will a train 175 m long cross an electric pole, it its speed be 180 km / hr ?
Options: a. 7.5, b. 6.5, c. 5.5, d. 4.5, e. 3.5
Output: 

 e
Input: Problem: a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $ 200. if a store employee applied the 10 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder ?
Options: a. $ 198, b. $ 216, c. $ 220, d. $ 230, e. $ 240
Output: 

 b
Input: Problem: what is 78 % of 4 / 5 ?
Options: a. 6.9, b. 69.0, c. 0.6845, d. 0.624, e. 0.69
Output: 

 d
Input: Problem: an error 2 % in excess is made while measuring the sideofa square. the % of error in the calculated area of the square is ?
Options: a. 4 %, b. 4.04 %, c. 4.15 %, d. 5 %, e. 5.24 %
Output: 

 b
Input: Problem: the length of a side of a hexagon is 7 inches. what is the perimeter ?
Options: a. 48, b. 42, c. 44, d. 45, e. 40
Output: 

 b
Input: Problem: set s consists of integers { 7, 8, 10, 12, 13 }. if integer n is included in the set, the average ( arithmetic mean ) of set s will increase by 10 %. what is the value of integer n ?
Options: a. 10, b. 12, c. 16, d. 22, e. 24
Output: 

 c
Input: Problem: if 9 workers can build 9 cars in 9 days, then how many days would it take 7 workers to build 7 cars ?
Options: a. 6, b. 7, c. 8, d. 9, e. 10
Output: 

 d
Input: Problem: a bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. if the total value is 35, how many coins of each type are there ?
Options: a. 20 coins, b. 30 coins, c. 28 coins, d. 25 coins, e. none of these
Output: 

 a
Input: Problem: if ( x + 3 ) ^ 2 / ( 3 x + 5 ) = 2, then the difference between the two possible values of x is :
Options: a. 2, b. 4, c. 6, d. 8, e. 10
Output: 

 a
Input: Problem: a train 500 m long can cross an electric pole in 50 sec and then find the speed of the train ?
Options: a. 76 kmph, b. 54 kmph, c. 72 kmph, d. 34 kmph, e. 36 kmph
Output: 

 e
Input: Problem: p, q and r together earn rs. 1710 in 9 days. p and r can earn rs. 600 in 5 days. q and r in 7 days can earn rs. 910. how much amount does r can earn per day ?
Options: a. s. 40, b. s. 60, c. s. 90, d. s. 100, e. s. 120
Output: 

 b
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 5 percent and the mobile phone at a profit of 10 percent. overall he make a.
Options: a. 50, b. 288, c. 27, d. 200, e. 881
Output: 

 a
Input: Problem: sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. sandy attempts 30 sums and obtains 50 marks. how many sums did sandy get correct ?
Options: a. 20, b. 22, c. 24, d. 26, e. 28
Output: 

 b
Input: Problem: in the number 10,0 ab, a and b represent the tens and units digits, respectively. if 11,0 ab is divisible by 55, what is the greatest possible value of b × a ?
Options: a. 0, b. 5, c. 10, d. 15, e. 25
Output: 

 d
Input: Problem: a train 175 m long, running with a speed of 63 km / hr will pass a tree in ?
Options: a. 22 sec, b. 16 sec, c. 17 sec, d. 88 sec, e. 10 sec
Output: 

 e
Input: Problem: the ratio of three numbers is 3: 4: 5 and the sum of their squares is 1250. the sum of the numbers is ?
Options: a. 2, b. 3, c. 4, d. 6, e. 5
Output: 

 e
Input: Problem: when positive integer n is divided by positive integer j, the remainder is 8. if n / j = 150.25, what is value of j ?
Options: a. 16, b. 26, c. 32, d. 132, e. 20
Output: 

 c
Input: Problem: how many positive even integers less than 100 contain digits 5 or 9 ?
Options: a. 16, b. 10, c. 18, d. 19, e. 20
Output: 

 b
Input: Problem: if one - third of one - fourth of a number is 18, then 3 - tenth of that number is: a. 35
Options: a. 23, b. 87, c. 26, d. 64.8, e. 01
Output: 

 d
Input: Problem: find the length of the longest pole that can be placed in a room 12 m long, 8 m broad and 9 m high.
Options: a. 10 m, b. 12 m, c. 17 m, d. 19 m, e. none
Output: 

 c
Input: Problem: a family pays $ 800 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. $ 1,000, b. $ 1,200, c. $ 1,400, d. $ 1,800, e. $ 2,200
Output: 

 c
Input: Problem: 12. what is the dividend. divisor 17, the quotient is 9 and the remainder is 6.
Options: a. 150, b. 152, c. 154, d. 159, e. 144
Output: 

 d
Input: Problem: if x, y, and z are positive integers, and 2 x = 5 y = 8 z, then the least possible value of x + y + z is
Options: a. 15, b. 28, c. 33, d. 42, e. 60
Output: 

 c
Input: Problem: the simple interest on a sum of money will be rs. 1400 after 10 years. if the principal is trebled after 5 years what will be the total interest at the end of the tenth year ?
Options: a. 2800, b. 3799, c. 1200, d. 2693, e. 1732
Output: 

 a
Input: Problem: if n is a positive integer and n ^ 2 is divisible by 72, then the largest positive integer v that must divide n is ?
Options: a. 6, b. 12, c. 24, d. 36, e. 48
Output: 

 b
Input: Problem: if k is an integer and 0.00010101 x 10 ^ k is greater than 100, what is the least possible value of k ?
Options: a. 3, b. 4, c. 5, d. 6, e. 7
Output: 

 d
Input: Problem: a can contains a mixture of liquids a and b is the ratio 7: 5. when 18 litres of mixture are drawn off and the can is filled with b, the ratio of a and b becomes 7: 9. how many liter of liquid a was contained by the can initially ?
Options: a. 32, b. 52, c. 62, d. 42, e. 48
Output: 

 d
Input: Problem: john makes $ 60 a week from his job. he earns a raise and now makes $ 100 a week. what is the % increase ?
Options: a. 16 %, b. 66.67 %, c. 17 %, d. 17.61 %, e. 17.56 %
Output: 

 b
Input: Problem: anne bought doughnuts for a class breakfast party. she bought 6 chocolate doughnuts, 8 coconut doughnuts, and 8 jam - filled doughnuts. how many doughnuts did anne buy in all ?
Options: a. 22, b. 36, c. 39, d. 21, e. 11
Output: 

 a
Input: Problem: in what ratio must rice of rs. 16 per kg be mixed with rice of rs. 24 per kg so that cost of mixture is rs. 18 per kg ?
Options: a. 4: 1, b. 2: 1, c. 3: 1, d. 4: 3, e. 4: 5
Output: 

 c
Input: Problem: the average of first 35 prime numbers is ?
Options: a. 14.54, b. 15.6, c. 15.8, d. 14.7, e. 14.8
Output: 

 a
Input: Problem: a man invested rs. 14,400 in rs. 100 shares of a company at 25 % premium. if the company declares 5 % dividend at the end of the year, then how much does he get ?
Options: a. rs. 576, b. rs. 600, c. rs. 650, d. rs. 720, e. none
Output: 

 a
Input: Problem: a room of 5 m 44 cm long and 3 m 74 cm broad is to be paved with squre tiles. find the least number of squre tiles required to cover the floor ?
Options: a. 178, b. 128, c. 127, d. 176, e. 171
Output: 

 d
Input: Problem: simplify: 3005 - 3000 + 10
Options: a. 2505, b. 2509, c. 2705, d. 2508, e. none of them
Output: 

 c
Input: Problem: the ratio between the length and the breadth of a rectangular park is 2: 3 if a man cycling along the boundary of the park at the speed of 10 km / hr completes one round in 18 min, then the area of the park ( in sq. m ) is ?
Options: a. 3000 m, b. 9000 m, c. 540000 m, d. 10000 m, e. 54000 m
Output: 

 c
Input: Problem: a towel, when bleached, was found to have lost 20 % of its length and 10 % of its breadth. the percentage of decrease in area is
Options: a. 28 %, b. 30 %, c. 32 %, d. 38 %, e. 40 %
Output: 

 a
Input: Problem: 50 % of a number is added to 200, the result is the same number. find the number ?
Options: a. 300, b. 288, c. 400, d. 129, e. 281
Output: 

 c
Input: Problem: a train 250 m long running at 72 kmph crosses a platform in 25 sec. what is the length of the platform ?
Options: a. 150 m, b. 200 m, c. 250 m, d. 270 m, e. 300 m
Output: 

 c
Input: Problem: 0.002 x 0.4 = ?
Options: a. 8.0, b. 0.008, c. 0.08, d. 0.8, e. 0.0008
Output: 

 e
Input: Problem: - 74 x 29 + 265 = ?
Options: a. 2436, b. - 1881, c. - 2801, d. - 2071, e. none of them
Output: 

 b
Input: Problem: the ages of patrick and michael are in the ratio of 3: 5 and that of michael and monica are in the ratio of 3: 5. if the sum of their ages is 148, what is the difference between the ages of patrick and monica ?
Options: a. 27, b. 48, c. 45, d. 72, e. 18
Output: 

 b
Input: Problem: what is the lowest positive integer that is divisible by each of the integers 1 through 8 inclusive ?
Options: a. 420, b. 840, c. 1260, d. 2520, e. 5020
Output: 

 b
Input: Problem: the marks obtained by vijay and amith are in the ratio 6: 5 and those obtained by amith and abhishek in the ratio of 3: 2. the marks obtained by vijay and abhishek are in the ratio of ?
Options: a. 1: 5, b. 4: 5, c. 9: 5, d. 9: 8, e. 9: 7
Output: 

 c
Input: Problem: a ( 3, w ^ 3 ) is the ( x, y ) coordinate of point located on the parabola y = x ^ 2 - 1. what is the value of w ?
Options: a. 2., b. 4., c. 5., d. 6., e. 9.
Output: 

 a
Input: Problem: in an examination it is necessary for a candidate to get 45 % of the maximum marks to pass. a candidate who gets 180 marks, fails by 45 marks. find the maximum marks.
Options: a. 450, b. 600, c. 500, d. 550, e. 650
Output: 

 c
Input: Problem: a numberais squared and then multiplied by negative 3. the result of this operation r is equal to 3 times the sum of 3 timesaand two. what is one possible value ofa ?
Options: a. - 3, b. - 2, c. 1, d. 2, e. 3
Output: 

 b
Input: Problem: if n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 8, what is the least possible value of n ?
Options: a. 7, b. 4, c. 5, d. 3, e. 6
Output: 

 b
Input: Problem: if shares of two persons in profits are rs. 400 and rs. 600 then ratio of their capitals is
Options: a. 3: 4, b. 2: 3, c. 4: 3, d. 1: 3, e. 1: 2
Output: 

 b
Input: Problem: find the remainder of the division ( 3 ^ 33 ) / 7.
Options: a. 2, b. 3, c. 4, d. 5, e. 6
Output: 

 e
Input: Problem: a factory produces 6500 toys per week. if the workers at this factory work 5 days a week and if these workers make the same number of toys everyday, how many toys are produced each day ?
Options: a. 1375 toys, b. 2375 toys, c. 1300 toys, d. 1375 toys, e. 2375 toys
Output: 

 c
Input: Problem: a wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6: 5. what is the area of the rectangle ?
Options: ['a. 65 cm 2', 'b. 30 cm 2', 'c. 76 cm 2', 'd. 68 cm 2', 'e. 46 cm 2']
Output: 

 b
Input: Problem: a bag marked at $ 125 is sold for $ 120. the rate of discount is ?
Options: a. 10 %, b. 25 %, c. 20 %, d. 50 %, e. 4 %
Output: 

 e
Input: Problem: a rectangle having length 105 cm and width 40 cm. if the length of the rectangle is increased by twenty five percent then how much percent the breadth should be decreased so as to maintain the same area.
Options: a. 25 %, b. 19.23 %, c. 40 %, d. 75 %, e. none of these
Output: 

 b
Input: Problem: the average age of students of a class is 15.8 years. the average age of boys in the class is 16.5 years and that of the girls is 15.4 years. the ration of the number of boys to the number of girls in the class is :
Options: a. 2: 5, b. 2: 3, c. 2: 4, d. 2: 1, e. 4: 7
Output: 

 e
Input: Problem: 10 men and 15 women together can complete a work in 8 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. 600 days
Output: 

 e
Input: Problem: to produce an annual income of rs. 1200 from a 15 % stock at 90, the amount of stock needed is :
Options: a. s. 10,000, b. s. 10,800, c. s. 14,400, d. s. 16,000, e. s. 46,000
Output: 

 a
Input: Problem: the nasdaq index has decreased by 70 % since year 2000. how much should the index increase in order to gain the same value as in year 2000 ?
Options: a. 400 %, b. 80 %, c. 233 %, d. 60 %, e. none of the above
Output: 

 c
Input: Problem: a is half good a work man as b and together they finish a job in 14 days. in how many days working alone b finish the job ?
Options: a. 23, b. 22, c. 21, d. 36, e. 48
Output: 

 c
Input: Problem: convert 0.34 in to a vulgar fraction ?
Options: a. 18 / 50, b. 16 / 50, c. 17 / 50, d. 19 / 50, e. none
Output: 

 c
Input: Problem: the owner of a furniture shop charges his customer 10 % more than the cost price. if a customer paid rs. 8800 for a computer table, then what was the cost price of the computer table ?
Options: a. rs. 6725, b. rs. 6727, c. rs. 8000, d. rs. 6725, e. rs. 6728
Output: 

 c
Input: Problem: if n = 2.0423 and n * is the decimal obtained by rounding n to the nearest hundredth, what is the value of n * – n ?
Options: a. - 0.0053, b. - 0.0023, c. 0.0007, d. 0.0047, e. 0.0153
Output: 

 b
Input: Problem: the value of (. 02 ) 2 + ( 0.52 ) 2 + ( 0.035 ) 2 / ( 0.002 ) 2 + ( 0.052 ) 2 + ( 0.0035 ) 2
Options: a. 100, b. 1000, c.. 001, d.. 0001, e.. 01
Output: 

 a
Input: Problem: a bag contains 10 green and 8 white balls. if two balls are drawn simultaneously, the probability that both are of the same colour is
Options: a. 8 / 15, b. 21 / 44, c. 3 / 5, d. 11 / 15, e. 7 / 15
Output: 

 b
Input: Problem: kim finds a 2 - meter tree branch and marks it off in thirds and fifths. she then breaks the branch along all the markings and removes one piece of every distinct length. what fraction of the original branch remains ?
Options: a. 3 / 5, b. 2 / 5, c. 7 / 5, d. 1 / 2, e. 8 / 15
Output: 

 a
Input: Problem: one type of liquid contains 10 % of water and the second type of liquid contains 15 % of water. a glass is filled with 5 parts of 1 st liquid and 2 parts of 2 nd liquid. the percentage of water in the new mixture in the glass is ?
Options: a. 5.6 %, b. 11.4 %, c. 15.6 %, d. 21.3 %, e. 18.9 %
Output: 

 b
Input: Problem: 1 men takes 37 $ to eat a pizza in restaurant such that it have discount multiple of 4 if u eat more pizza. discount increase by multiple of 4 every pizza u eat. for 1 pizza 0 % off. for 2 pizza % off for 3 pizza 8 % off. pizza without discount is 10 $. how much that man eats the pizza.
Options: a. 2, b. 3, c. 4, d. 5, e. 6
Output: 

 b
Input: Problem: there is one 4 - digit whole number n, such that the last 4 digits of n 2 are in fact the original number n
Options: a. 8476, b. 7376, c. 9376, d. 7378, e. 9466
Output: 

 c
Input: Problem: the smallest number which when diminished by 2, is divisible by 12, 16, 18, 21 and 28 is
Options: a. 1008, b. 1010, c. 1022, d. 1032, e. 1043
Output: 

 b