Rationale: "giving no discount to customer implies selling the product on printed price . suppose the cost price of the article is 100 . then printed price = 100 ã — ( 100 + 31.1 ) / ( 100 â ˆ ’ 5 ) = 138 hence , required % profit = 138 â € “ 100 = 38 % answer a"

options: a ) 38 , b ) 27.675 , c ) 30 , d ) data inadequate , e ) none of these

annotated_formula: subtract(divide(multiply(add(const_100, 31.1), const_100), subtract(const_100, 5)), const_100)

category: gain

arguments:
Question: a circular well with a diameter of 4 metres , is dug to a depth of 14 metres . what is the volume of the earth dug out ?
Answer: 176 m 3

Question: what is the hcf of 2 / 3 , 4 / 9 and 6 / 18
Answer: 1 / 9

Question: a car traveled 75 % of the way from town a to town b at an average speed of 50 miles per hour . the car travels at an average speed of s miles per hour for the remaining part of the trip . the average speed for the entire trip was 60 miles per hour . what is s ?
Answer: 150

Question: on dividing 265 by a number , the quotient is 12 and the remainder is 1 . find the divisor .
Answer: e ) 22

Question: a shopkeeper sold an article offering a discount of 5 % and earned a profit of 31.1 % . what would have been the percentage of profit earned if no discount had been offered ?
Answer:


Rationale: "s . i . = ( 1000 * 14 * 4 ) / 100 = rs . 560 c . i . = [ 1000 * ( 1 + 14 / 100 ) 4 - 1000 ] = rs . 689 difference = ( 689 - 560 ) = rs . 129 answer : a"

annotated_formula: subtract(subtract(multiply(1000, power(add(divide(14, const_100), const_1), 4)), 1000), multiply(multiply(1000, divide(14, const_100)), 4))

arguments:
Question: gwen drove an average speed of 15 miles per hour for the first 40 miles of a tripthen at a average speed of 30 miles / hr for the remaining 40 miles of the trip if she made no stops during the trip what was gwen ' s avg speed in miles / hr for the entire trip
Answer: 20

Question: following an increase in prices , the price of a candy box was 10 pounds and the price of a can of soda was 15 pounds . if the price of a candy box was raised by 25 % , and the price of a can of soda was raised by 50 % . what was the price of a box of candy plus a can of soda before prices were raised ?
Answer: 18 .

Question: sachin is younger than rahul by 18 years . if the ratio of their ages is 7 : 9 , find the age of sachin
Answer: 63

Question: a goods train runs at the speed of 72 kmph and crosses a 230 m long platform in 26 seconds . what is the length of the goods train ?
Answer: 290 m

Question: what will be the difference between simple and compound interest at 14 % per annum on a sum of rs . 1000 after 4 years ?
Answer:


Rationale: "the total number of stations = 30 from 30 stations we have to choose any two stations and the direction of travel ( i . e . , hyderabad to bangalore is different from bangalore to hyderabad ) in 3 ⁰ p ₂ ways . 30 p ₂ = 30 * 29 = 870 . answer : c"

annotated_formula: multiply(add(28, const_1), add(add(28, const_1), const_1))

category: physics

arguments:
Question: a sum is divided among b , c and d in such a way that for each rupee b gets , c gets 150 paisa and d gets 50 paisa . if the share of c is rs . 40 , what is the total amount ?
Answer: 80

Question: mike earns $ 14 per hour and phil earns $ 10.5 per hour . approximately how much less , as a percentage , does phil earn than mike per hour ?
Answer: 25 %

Question: a batsman makes a score of 82 runs in the 17 th inning and thus increases his averages by 3 . what is his average after 17 th inning ?
Answer: 34

Question: a , b , k start from the same place and travel in the same direction at speeds of 30 km / hr , 40 km / hr , 60 km / hr respectively . b starts three hours after a . if b and k overtake a at the same instant , how many hours after a did k start ?
Answer: 6

Question: there are 28 stations between hyderabad and bangalore . how many second class tickets have to be printed , so that a passenger can travel from any station to any other station ?
Answer:


Rationale: "p = 3888 r = 20 % required population of town = p / ( 1 + r / 100 ) ^ t = 3888 / ( 1 + 20 / 100 ) ^ 2 = 3888 / ( 6 / 5 ) ^ 2 = 2700 ( approximately ) answer is e"

arguments:
Question: the weight of every type a widget is the same , the weight of every type b widget is the same , and the weight of every type c widget is the same . if the weight of 7 type a widgets is equal to the weight of 2 type b widgets , and the weight of 4 type b widgets is equal to the weight of 7 type c widgets . what is the ratio of the total weight of 1 type a widget and 1 type b widget , to the total weight of 1 type b widget and 1 type c widget ?
Answer: 9 : 11

Question: a 9 - meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ?
Answer: 2 / 9

Question: the number of timeshare condos available at sunset beach is 2 / 5 the number of timeshare condos available at playa del mar . if the total number of timeshare condos available at the two beaches combined is 210 , what is the difference between the number of condos available at sunset beach and the number of condos available at playa del mar ?
Answer: 90

Question: a and b can do a piece of work in 60 days and 60 days respectively . they work together for 10 days and b leaves . in how many days the whole work is completed ?
Answer: 30 days

Question: the present population of a town is 3888 . population increase rate is 20 % p . a . find the population of town before 2 years ?
Answer:


Problem: the triplicate ratio of 1 : 9 is ?

Rationale: "13 : 93 = 1 : 729 answer : e"

annotated_formula: divide(power(const_2.0, 9), power(const_3.0, 9))

category: other

arguments:
Question: if 5 ^ 21 x 4 ^ 11 = 2 x 10 ^ n . what is the value of n ?
Answer: 21

Question: excluding stoppages , the speed of a train is 54 kmph and including stoppages it is 40 kmph . of how many minutes does the train stop per hour ?
Answer: c ) 15.55

Question: the sum of the numbers is 660 . if the first number be twice the second and third number be one - third of the first , then the second number is :
Answer: 180

Question: the banker ' s gain of a certain sum due 2 years hence at 10 % per annum is rs . 24 . the present worth is
Answer: rs . 600

Question: the triplicate ratio of 1 : 9 is ?
Answer:


Rationale: "easy one - - 25 , - 24 , - 23 , - 22 , . . . . . . - 1,0 , 1 , 2 . . . . , 22 , 23 cancel everyhitng and we ' re left with - - 25 and - 24 s = - 49 . d is the answer ."

annotated_formula: add(add(negate(26), const_1), add(add(negate(26), const_1), const_1))

category: general

arguments:
Question: if p ^ 2 – 13 p + 40 = h , and p is a positive integer between 1 and 10 , inclusive , what is the probability that h < 0 ?
Answer: 1 / 5

Question: after getting 2 successive discounts , a shirt with a list price of rs 150 is available at rs 105 . if the second discount is 12.55 , find the first discount .
Answer: 20 %

Question: joe has a total of $ 200 in his two pockets . he takes one fourth of the money in his left pocket and puts it in his right pocket . he then takes $ 20 from his left pocket and puts it in his right pocket . if he now has an equal amount of money in each pocket , then how much money did he originally have in his left pocket ?
Answer: $ 160

Question: there was a cycle race going on . 1 / 5 th of the those in front of a person and 5 / 6 th of those behind him gives the total number of participants . how many people took part in the race ?
Answer: 31

Question: the sum of all the integers s such that - 26 < s < 24 is
Answer:


Rationale: "the volume of oil pumped to the tank = the volume of oil taken away from stationary cylinder . pi * 36 * 10 = pi * h * 100 * 100 ( h is distance that the oil level dropped ) h = 360 / 10,000 = 36 / 1000 = 0.036 ft the answer is a ."

category: geometry

arguments:
Question: what is 1 percent of 12,356 ?
Answer: 123.56

Question: a certain store sold pens for $ 0.35 each and pencils for $ 0.25 each . if a customer purchased both pens and pencils from the store for a total of $ 1.60 , what total number of pens and pencils did the customer purchase ?
Answer: 6

Question: in a certain egg - processing plant , every egg must be inspected , and is either accepted for processing or rejected . for every 96 eggs accepted for processing , 4 eggs are rejected . if , on a particular day , 12 additional eggs were accepted , but the overall number of eggs inspected remained the same , the ratio of those accepted to those rejected would be 99 to 1 . how many e eggs does the plant process per day ?
Answer: 400

Question: 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 . 1700 . the difference between the profit shares of a and c is ?
Answer: 680

Question: a full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet . oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck ' s tank is completely filled . if the truck ' s tank has a radius of 6 feet and a height of 10 feet , how far ( in feet ) did the oil level drop in the stationary tank ?
Answer:


Rationale: "let x be the number of 35 ounce cans . therefore ( x + 20 ) is the number of 25 ounce cans . total volume is same , therefore 35 x = 25 ( x + 20 ) 10 x = 500 x = 50 therefore , number of 15 ounce cans = 50 + 20 = 70 ans - b"

arguments:
Question: claire has a total of 92 pets consisting of gerbils and hamsters only . one - quarter of the gerbils are male , and one - third of the hamsters are male . if there are 25 males altogether , how many gerbils does claire have ?
Answer: 68

Question: the average age of a class is 15.8 years . the average age of the boys in the class is 16.4 years and that of the girls is 15.4 years . what is the ratio of boys to girls in the class ?
Answer: 2 : 3

Question: a candidate got 35 % of the votes polled and he lost to his rival by 2370 votes . how many votes were cast ?
Answer: 7900

Question: working simultaneously and independently at an identical constant rate , 4 machines of a certain type can produce a total of x units of product p in 6 days . how many of these machines , working simultaneously and independently at this constant rate , can produce a total of 2 x units of product p in 3 days ?
Answer: 16

Question: each week a restaurant serving mexican food uses the same volume of chili paste , which comes in either 35 - ounce cans or 25 - ounce cans of chili paste . if the restaurant must order 20 more of the smaller cans than the larger cans to fulfill its weekly needs , then how manysmallercans are required to fulfill its weekly needs ?
Answer:


Rationale: "101 * n ^ 2 < = 10000 n ^ 2 < = 10000 / 101 which will be less than 100 since 10000 / 100 = 100 which is the square of 9 next closest value of n where n ^ 2 < = 100 is 9 ans c"

annotated_formula: floor(sqrt(divide(10000, 101)))

arguments:
Question: out of 410 students of a school , 325 play football , 175 play cricket and 50 neither play football nor cricket . how many students play both football and cricket ?
Answer: 140

Question: 12 is what % of 80 ?
Answer: 15

Question: a number when divided by a divisor leaves a remainder of 27 . when twice the original number is divided by the same divisor , the remainder is 11 . what is the value of the divisor ?
Answer: 40

Question: if the population of a certain country increases at the rate of one person every 15 seconds , by how many persons does the population increase in 60 minutes ?
Answer: 240

Question: if n is an integer and 101 n ^ 2 is less than or equal to 10000 , what is the greatest possible value of n ?
Answer:


Rationale: "explanation : use formula for a work members ã — days = constant 10 ã — 4 = 5 ã — a a = 8 so answer is 8 days answer : d"

annotated_formula: divide(const_1, multiply(divide(const_1, multiply(const_4.0, 10)), 4))

arguments:
Question: the average ( arithmetic mean ) of 16 students first quiz scores in a difficult english class is 62.5 . when one student dropped the class , the average of the remaining scores increased to 62.0 . what is the quiz score of the student who dropped the class ?
Answer: e ) 70

Question: 1,5 , 13,25 , __
Answer: 41

Question: a man sold 20 articles for $ 60 and gained 20 % . how many articles should he sell for $ 60 to incur a loss 20 % ?
Answer: 30

Question: what is the greatest value of x such that 4 ^ x is a factor of 21 ! ?
Answer: 6

Question: a constructor estimates that 10 people can paint mr khans house in 4 days . if he uses 5 people instead of 10 , how long will they take to complete the job ?
Answer:


Rationale: "formula : ( after = 100 denominator ago = 100 numerator ) 8000 ã — 80 / 100 ã — 80 / 100 x 80 / 100 = 4096 answer : b"

annotated_formula: subtract(subtract(8000, multiply(8000, divide(20, const_100))), multiply(subtract(8000, multiply(8000, divide(20, const_100))), divide(20, const_100)))

arguments:
Question: if greg buys 5 shirts , 4 trousers and 2 ties , the total cost is $ 80 . if greg buys 7 shirts , 4 trousers and 2 ties , the total cost is $ 70 . how much will it cost him to buy 2 trousers , 3 shirts and 1 ties ?
Answer: $ 37.5

Question: at the end of year x , automobile installment credit accounted for 36 % of all outstanding consumer installment credit . at that time automobile finance companies extended $ 35 billion of credit , or 1 / 3 of the automobile installment credit . how many billion dollars of consumer installment credit was outstanding at that time ?
Answer: 291.67

Question: a $ 500 investment and a $ 1,500 investment have a combined yearly return of 13 percent of the total of the two investments . if the $ 500 investment has a yearly return of 7 percent , what percent yearly return does the $ 1,500 investment have ?
Answer: 15 %

Question: one - seventh of the light switches produced by a certain factory are defective . 4 - fifths of the defective switches are rejected and 1 / 15 of the non defective switches are rejected by mistake . if all the switches not rejected are sold , what percent of the switches sold by the factory are defective ?
Answer: 3.4 %

Question: the population of a town is 8000 . it decreases annually at the rate of 20 % p . a . what will be its population after 3 years ?
Answer:


Rationale: "let c . p . be rs . x . then , ( 1920 - x ) / x * 100 = ( x - 1280 ) / x * 100 1920 - x = x - 1280 2 x = 3200 = > x = 1600 required s . p . = 140 % of rs . 1600 = 140 / 100 * 1600 = rs . 2240 . answer : e"

annotated_formula: multiply(divide(add(const_100, 40), const_100), divide(add(1920, 1280), const_2))

arguments:
Question: a cube of edge 5 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 10 cm * 5 cm , find the rise in water level ?
Answer: 2.5 cm

Question: find large number from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 8 as quotient and the 15 as remainder
Answer: 1557.9

Question: a group of boy scouts and girls scouts is going on a rafting trip . 45 % of the scouts arrived with signed permission slips . if 60 % of the scouts were boy scouts and 25 % of the boy scouts arrived with signed permission slips , then what percentage of the scouts were girl scouts who arrived with signed permission slips ?
Answer: 30

Question: when a person aged 39 is added to a group of n people , the average age increases by 2 . when a person aged 15 is added instead , the average age decreases by 1 . what is the value of e ?
Answer: 7

Question: the percentage profit earned by selling an article for rs . 1920 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 40 % profit ?
Answer:


Rationale: "let the required number of bottles be x . more machines , more bottles ( direct proportion ) more minutes , more bottles ( direct proportion ) machines 6 : 10 : : 360 : x time ( in minutes ) 1 : 4 6 x 1 x x = 10 x 4 x 360 x = ( 10 x 4 x 360 ) / ( 6 ) x = 2400 . answer : c"

annotated_formula: multiply(multiply(divide(360, 6), 4), 10)

arguments:
Question: a 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 .
Answer: 10

Question: a bag contains 5 red , 4 blue and 3 green balls . if 2 ballsare picked at random , what is the probability that both are red ?
Answer: 5 / 33

Question: the population of a town is 10000 . it increases annually at the rate of 20 % p . a . what will be its population after 1 year ?
Answer: 12000

Question: if 1.5 x = 0.04 y then the value of ( y - x ) / ( y + x ) is
Answer: 73 / 77

Question: running at the same constant rate , 6 identical machines can produce a total of 360 bottles per minute . at this rate , how many bottles could 10 such machines produce in 4 minutes ?
Answer:


Rationale: divide as ( 1 - 100 ) ( 100 - 200 ) . . . . ( 900 - 1000 ) total 192 answer : c

annotated_formula: add(add(divide(1000, const_10), multiply(subtract(const_10, 1), const_10)), const_2)

arguments:
Question: excluding the stoppages , the speed of a bus is 32 km / hr and including the stoppages the speed of the bus is 16 km / hr . for how many minutes does the bus stop per hour ?
Answer: 30 min

Question: two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 4 seconds . the length of the faster train is
Answer: 90 m

Question: if the sides of a triangle are 91 cm , 84 cm and 35 cm , what is its area ?
Answer: 1470 cm 2

Question: the profit earned by selling an article for rs . 832 is equal to the loss incurred when the same article is sold for rs . 448 . what should be the sale price for making 40 % profit ?
Answer: 896

Question: there are 1000 buildings in a street . a sign - maker is contracted to number the houses from 1 to 1000 . how many zeroes will he need ?
Answer:


Rationale: "investment = rs . [ 20 x ( 50 - 5 ) ] = rs . 900 . face value = rs . ( 50 x 20 ) = rs . 1000 . dividend = rs . 27 x 1000 = rs . 135 . 2 100 interest obtained = 135 x 100 % = 15 % 900 view answer discuss in forum answer : c"

annotated_formula: divide(multiply(multiply(20, 50), divide(13, const_100)), multiply(20, subtract(50, 5)))

arguments:
Question: a 6 - liter solution is 25 % alcohol . how many liters of pure alcohol must be added to produce a solution that is 50 % alcohol ?
Answer: 3.0

Question: if a rectangular room measures 10 meters by 5 meters by 4 meters , what is the volume of the room in cubic centimeters ? ( 1 meter = 100 centimeters )
Answer: 200

Question: the shopkeeper increased the price of a product by 25 % so that customer finds it difficult to purchase the required amount . but somehow the customer managed to purchase only 68 % of the required amount . what is the net difference in the expenditure on that product ?
Answer: 15 %

Question: 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 14 km ?
Answer: 7

Question: a man bought 20 shares of rs . 50 at 5 discount , the rate of dividend being 13 . the rate of interest obtained is :
Answer:


Rationale: "? % of 360 = 108 or , ? = 108 × 100 / 360 = 30 answer a"

annotated_formula: divide(multiply(108, const_100), 360)

arguments:
Question: a circular garden is surrounded by a fence of negligible width along the boundary . if the length of the fence is 1 / 5 of th area of the garden . what is the radius of the circular garden ?
Answer: 10

Question: calculate 469111 x 9999 = ?
Answer: 4690640889

Question: machine – a produces 40 % of the total output and machine - b produces 60 % of the total output . an average of 9 units out of a 1000 goods manufactured by machine - a and one unit of 50 units produced by machine - b prove to be defective . what is the probability that a unit chosen at random from the total daily output of the factory is defective ?
Answer: c . 0.0156

Question: sides of a rectangular park are in the ratio 3 : 2 and its area is 5766 sq m , the cost of fencing it at 50 ps per meter is ?
Answer: 155

Question: ? % of 360 = 108
Answer: