niryuu/sni-each-converted huggingface dataset:
Problem: 20 men can dig a tunnel in 30 days . if after 10 days , 20 more men are deployed to dig the tunnel , how many more days it will take to dig the whole tunnel ?
Output: 10
Problem: if the product of 10 integers is negative , at most how many of the integers can be negative ?
Output: 9
Problem: two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds . the ratio of their speeds is :
Output: 3 / 2 .
Problem: the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs . 72 . find the principal ?
Output: 180
Problem: in a division , a student took 63 as divisor instead of 36 . his answer was 24 . the correct answer is -
Output: 42
Problem: the sum of the numbers is 550 . if the first number be twice the second and third number be one - third of the first , then the second number is :
Output: 150
Problem: what is 121 times 11 ?
Output: 1331
Problem: if ( 1 – 1.25 ) n = 4 , then n =
Output: − 16
Problem: four 6 faced dice are thrown together . the probability that all the three show the same number on them is ?
Output: 1 / 216
Problem: the average age of 25 students in a class is 12 years . if teacher ' s age is also included then average increases 1 year then find the teacher ' s age ?
Output: 38
Problem: 7 , 26 , 63 , 124 , 215 , 342 , ( . . . . )
Output: 511
Problem: a team p of 20 engineers can complete work or task in 32 days . another team q of 16 engineers can complete same task in 30 days . then the ratio of working capacity of 1 member of p to the 1 member of q is a . 3 : 2
Output: 34
Problem: a certain kind of necklace is made from 9 green , 6 white , and 3 orange beads . what is the maximum number of these necklaces that can be made from 45 beads of each color ?
Output: 5
Problem: for 2 consecutive yrs , my incomes are in the ratio of 4 : 7 and expenses in the ratio of 3 : 5 . if my income in the 2 nd yr is rs . 42000 & my expenses in the first yr in rs . 22000 , my total savings for the two - year is
Output: s . 9000
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 ?
Output: 32
Problem: a , b and c invests rs . 2000 , rs . 3000 and rs . 4000 in a business . after two year a removed his money ; b and c continued the business for one more year . if the net profit after 3 years be rs . 4800 , then a ' s share in the profit is ?
Output: 76
Problem: 10 friends meet for movie 20 for picnic and 5 for games 4 for movie & picnic 2 for movie & games , 0 for picnic & games , 2 for all , how many are students are there in all ?
Output: 31
Problem: the angle between the minute hand and the hour hand of a clock when the time is 9.30 , is
Output: 105 °
Problem: two pipes a and b can separately fill a tank in 12 and 15 minutes respectively . a third pipe c can drain off 36 liters of water per minute . if all the pipes are opened , the tank can be filled in 15 minutes . what is the capacity of the tank ?
Output: 43
Problem: how many integerskgreater than 100 and less than 700 are there such that if the hundreds and the units digits ofkare reversed , the resulting integer is k + 99 ?
Output: 50
Problem: a can give b 100 meters start and c 200 meters start in a kilometer race . how much start can b give c in a kilometer race ?
Output: 111.12 m
Problem: the product x of two prime numbers is between 17 and 60 . if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25 , then x =
Output: 5
Problem: alok ordered 16 chapatis , 5 plates of rice , 7 plates of mixed vegetable and 6 ice - cream cups . the cost of each chapati is rs . 6 , that of each plate of rice is rs . 45 and that of mixed vegetable is rs . 70 . the amount that alok paid the cashier was rs . 961 . find the cost of each ice - cream cup ?
Output: rs . 25
Problem: a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon . how many diagonals does a regular 20 - sided polygon have ?
Output: 170', 'c ) 1425', 'd ) 2025', 'e ) 2500'
Problem: if 70 % of a number is equal to two - third of another number , what is the ratio of first number to the second number ?
Output: 20 : 21
Problem: a number is said to be prime saturated if the product of all the different positive prime factors of z is less than the square root of z . what is the greatest two digit prime saturated integer ?
Output: 96
Problem: the average monthly income of p and q is rs . 2050 . the average monthly income of q and r is rs . 5250 and the average monthly income of p and r is rs . 6200 . the monthly income of r is :
Output: 9400
Problem: find large number from below question the difference of two numbers is 1311 . on dividing the larger number by the smaller , we get 11 as quotient and the 11 as remainder
Output: 1441
Problem: 1 blue dice and 2 red dice are thrown . . . . what is the probability that the no . appeared on blue dice is always greater than both the no . appeared on the 2 red dice . .
Output: 55 / 216
Problem: a certain university will select 1 of 6 candidates eligible to fill a position in the mathematics department and 2 of 9 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ?
Output: 216
Problem: excluding stoppages , the speed of the bus is 54 kmph and including stoppages , it is 36 kmph . for how many minutes does the bus stop per hr
Output: 20 mi
Problem: a person ' s present age is two - fifth of the age of his mother . after 4 years , he will be one - half of the age of his mother . how old is the mother at present ?
Output: c ) 20
Problem: a 150 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?
Output: 175
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 ?
Output: 20 coins
Problem: a girl scout was selling boxes of cookies . in a month , she sold both boxes of chocolate chip cookies ( $ 1.25 each ) and boxes of plain cookies ( $ 0.75 each ) . altogether , she sold 1,585 boxes for a combined value of $ 1 , 588.25 . how many boxes of plain cookies did she sell ?
Output: 78
Problem: how many positive even integers less than 100 contain digits 5 or 7 ?
Output: 10
Problem: a person can swim in still water at 4 km / h . if the speed of water 2 km / h , how many hours will the man take to swim back against the current for 10 km ?
Output: 5
Problem: the price of a certain painting increased by 25 % during the first year and decreased by 15 % during the second year . the price of the painting at the end of the 2 - year period was what percent of the original price ?
Output: 106.25 %
Problem: a car runs at the speed of 25 km per hour when not serviced and runs at 75 kmph when serviced . after servicing the car covers a certain distance in 5 hours . how much time will the car take to cover the same distance when not serviced ?
Output: 7 hours
Problem: rs . 1010 / - distributed among a , b and c such that on decreasing their shares by rs . 25 , rs . 10 and rs . 15 respectively , the balance money would be divided among them in the ratio 3 : 2 : 5 . then , c ’ s share is : ?
Output: rs . 495 / -
Problem: a is twice as good a work man as b and together they finish a piece of work in 36 days . the number of days taken by b alone to finish the work is :
Output: 108 days .
Problem: 5 % of ( 25 % of $ 1600 ) is ?
Output: $ 20
Problem: what is the smallest number by which 2880 must be divided in order to make it into a perfect square ?
Output: 5
Problem: how many diagonals does a 60 - sided convex polygon have ?
Output: 1710
Problem: rs . 1210 were divided among 3 person p , q , r so that p : q = 5 : 4 and q : r = 9 : 10 . then r gets the amount ?
Output: rs . 400
Problem: a fruit drink is made of orange , watermelon , and grape juice , where 35 percent of the drink is orange juice and 35 percent is watermelon juice . if the drink is made with 45 ounces of grape juice , how many ounces is the drink total ?
Output: 150
Problem: for all real numbers v , an operation is defined by the equation v * = v - v / 3 . if ( v * ) * = 24 , then v =
Output: 54
Problem: the least perfect square , which is divisible by each of 21,36 and 66 is
Output: 213444', 'b ) 214344', 'c ) 214434', 'd ) 213443', 'e ) none of these'
Problem: what is the greatest prime factor of 2 ^ 10 - 1 ?
Output: 3
Problem: a wholesaler wishes to sell 100 pounds of mixed nuts at $ 2.50 a pound . she mixes peanuts worth $ 1.50 a pound with cashews worth $ 5.00 a pound . how many pounds of cashews must she use ?
Output: 45
Problem: 4 years ago , paula was 4 times as old as karl . in 12 years , paula will be twice as old as karl . what is the sum of their ages now ?
Output: 48
Problem: there are 15 teams in a certain league and each team plays each of the other teams exactly twice . if each game is played by 2 teams , what is the total number of games played ?
Output: 21
Problem: if w / x = 2 / 3 and w / y = 6 / 15 , then ( x + y ) / y =
Output: 8 / 5
Problem: a “ palindromic integer ” is an integer that remains the same when its digits are reversed . so , for example , 43334 and 516615 are both examples of palindromic integers . how many 6 - digit palindromic integers are both even and greater than 500,000 ?
Output: 200
Problem: a trader sold an article on a certain price with 40 % profit . if he sold double of previous selling price then find its profit %
Output: 180 %
Problem: the average price of an decoration piece increases over the years . if from 1990 to 1996 , the price of the decoration piece increased by 13 % and from 1996 to 2001 it increased by 20 % , what is the price of the decoration piece in 2001 if the price in 1990 was $ 11500 ?
Output: $ 15594 .
Problem: how many 2 - inch by 3 - inch rectangular tiles are required to tile this shaded region ?
Output: 1,500 +'
Problem: a cube is painted red on all faces . it is then cut into 27 equal smaller cubes . how many h cubes are painted on only 2 faces ?
Output: 12
Problem: the length of a rectangle is increased by 15 % and its breadth is decreased by 20 % . what is the effect on its area ?
Output: 920
Problem: solve the quickfire maths brain teaser â ˆ š 16 % = ?
Output: 40 %
Problem: how many seconds will a train 150 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?
Output: 30 sec
Problem: the price of a bushel of corn is currently $ 3.20 , and the price of a peck of wheat is $ 8.80 . the price of corn is increasing at a constant rate of 5 x cents per day while the price of wheat is decreasing at a constant rate of x ( 2 ^ 1 / 2 ) - x cents per day . what is the approximate price when a bushel of corn costs the same amount as a peck of wheat ?
Output: $ 8.40
Problem: find the area of the quadrilateral of one of its diagonals is 28 cm and its off sets 9 cm and 6 cm ?
Output: 210 cm 2
Problem: the largest one digit number which is a perfect cube , is :
Output: 8
Problem: when the price of a product was decreased by 20 % , the number sold increased by 60 % . what was the effect on the total revenue ?
Output: 28 %
Problem: in a rare coin collection , all coins are either pure gold or pure silver , and there is initially one gold coin for every 3 silver coins . with the addition of 15 more gold coins to the collection , the ratio of gold coins to silver coins is 1 to 2 . based on this information , how many total coins are there now in this collection ( after the acquisition ) ?
Output: 135
Problem: positive integer y is 50 percent of 50 percent of positive integer x , and y percent of x equals 100 . what is the value of y ?
Output: 50
Problem: after giving a discount of rs . 45 the shopkeeper gets a loss of 10 % , if the cost price is rs . 180 . find the markup % ?
Output: 0.1
Problem: a student has to obtain 35 % of the total marks to pass . he got 100 marks and failed by 40 marks . the maximum marks are ?
Output: 400
Problem: if a : b = 3 : 4 , b : c = 7 : 9 , c : d = 5 : 7 , find a : d ?
Output: 5 / 12
Problem: the average age of an adult class is 40 years . 12 new students with an avg age of 32 years join the class . therefore decreasing the average by 4 year . find what was theoriginal strength of class ?
Output: 12
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 ?
Output: 13 days
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 ?
Output: $ 120
Problem: if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 630 , what is the least possible value of n ?
Output: 7
Problem: the total marks obtained by a student in mathematics and physics is 30 and his score in chemistry is 20 marks more than that in physics . find the average marks scored in mathamatics and chemistry together .
Output: 25
Problem: a lent rs . 5000 to b for 2 years and rs . 3000 to c for 4 years on simple interest at the same rate of interest and received rs . 1540 in all from both of them as interest . the rate of interest per annum is ?
Output: 7 %
Problem: solve for x and check : 25 x = 675
Output: 675
Problem: given that x and y are events such that z ( x ) = 0.02 z ( y ) = 0.10 z ( xny ) = 0.10 z ( x | y ) = find z ( x | y ) and z ( x | y )
Output: 1 / 5
Problem: a jar contains a mixture of ab in the ratio 4 : 1 . when 40 l of mixture is replaced with liquid b , ratio becomes 2 : 3 . how many liters of liquid a was present in mixture initially .
Output: 64
Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 6 inches , what is the rectangle ' s area , in square inches ?
Output: 108 square inches
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 ?
Output: 1000
Problem: a truck drives 80 miles on local roads at 30 mph , and 50 miles on the highway at 60 mph , the truck also take a hour lunch break . what is the average speed of the entire trip ?
Output: 30 mph
Problem: carrey rented a car for rs . 20 plus rs . 0.25 per kilometer driven . samuel rented a car for rs . 24 plus rs . 0.16 per kilometer driven . if each drove d km . and each was charged exactly the same amount for the rental , then d equals ?
Output: 44.4
Problem: the first doughnut is priced at $ 1 and then if you purchase additional doughnuts as dozens then the price is $ 6 / dozen . what is the total number of doughnuts purchased if you paid $ 24 ?
Output: 48
Problem: the speed of the boat in still water in 12 kmph . it can travel downstream through 48 kms in 3 hrs . in what time would it cover the same distance upstream ?
Output: 6 hour
Problem: on a sum of money , the simple interest for 2 years is rs . 326 , while the compound interest is rs . 340 , the rate of interest being the same in both the cases . the rate of interest is
Output: 8.58 %
Problem: in a certain supermarket , a triangular display of cans is arranged in 9 rows , numbered 1 through 9 from top to bottom . each successively numbered row contains 3 more cans than the row immediately above it . if there are fewer than 120 cans in the entire display , how many cans are in the seventh row ?
Output: 19
Problem: the length of a rectangle is 3 times its width . if the width of the rectangle is 4 inches , what is the rectangle ' s area , in square inches ?
Output: 48 square inches
Problem: the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.7 years . the ration of the number of boys to the number of girls in the class is ?
Output: 1 : 6
Problem: a man walking at a rate of 5 km / hr crosses a bridge in 15 minutes . the length of the bridge is ?
Output: 1250 m
Problem: a train traveling at 108 kmph crosses a platform in 30 seconds and a man standing on the platform in 12 seconds . what is the length of the platform in meters ?
Output: 360 meters
Problem: the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 11 . if p invested the money for 5 months , find for how much time did q invest the money ?
Output: 11
Problem: a fair price shopkeeper takes 10 % profit on his goods . he lost 30 % goods during theft . his loss percent is :
Output: 23 %
Problem: some people are standing square . from them 32 are removed and then form a small square and then 8 more removed . now we can not form the square . so how many people are there at the beginning ?
Output: ca n ' t be determine
Problem: how many seconds will a 500 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?
Output: 30
Problem: the ages of 2 persons differ by 32 years . if 12 years ago the elder one be 6 times as old as the younger one , find the present age of elder person .
Output: 50.4
Problem: on a certain date , pat invested $ 8,000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 10 years will be $ 32,000 , in how many years total will the total value of the investment plus interest increase to $ 64,000 ?
Output: 15
Problem: the average age of 10 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men . the average age of the two new men is
Output: 3
Problem: if 64 ( 8 ^ x ) = 1 then x =
Output: -
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 .
Output: 19.23 %
Problem: a tailor trims 6 feet from opposite edges of a square piece of cloth , and 5 feet from the other two edges . if 80 square feet of cloth remain , what was the length of a side of the original piece of cloth ?
Output: 20
Problem: the base and height of a parallelogram are 12 m and 6 m respectively . then its area is = = = = = = ?
Output: 72 sq . m'
Problem: how many prime numbers are between 76 / 8 and 124 / 5 ?
Problem: evaluate : 40 - 12 * 3 * 2 = ?
Output: 32
Problem: pipe a can fill a tank in 6 minutes and pipe b cam empty it in 24 minutes . if both the pipes are opened together after how many minutes should pipe b be closed , so that the tank is filled in 30 minutes ?
Output: 96
Problem: what is the compound interest on rs : 40,000 for 4 months at the rate of 5 % per annum
Output: 670.85
Problem: mark and ann together were allocated n boxes of cookies to sell for a club project . mark sold 6 boxes less than n and ann sold 2 boxes less than n . if mark and ann have each sold at least one box of cookies , but together they have sold less than n boxes , what is the value of n ?
Problem: the number of diagonals of a polygon of n sides is given by the formula q = n ( n - 3 ) / 2 . if a polygon has twice as many diagonals as sides , how many sides does it have ?
Output: 5
Problem: a fair price shopkeeper takes 10 % profit on his goods . he lost 70 % goods during theft . his loss percent is :
Output: 67 %
Problem: the age of somu is one - third his father ' s . 8 years back he was one - fifth of his father ' s age . what is his persent age ?
Output: 16
Problem: 13 buckets of water fill a tank when the capacity of each bucket is 42 litres . how many buckets will be needed to fill the same tank , if the capacity of each bucket is 6 litres ?
Output: 91
Problem: a car ferry can hold up to 70 tons of cargo . what is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average ( arithmetic mean ) weight of 0.75 tons and half of the vehicles are trucks with an average ( arithmetic mean ) weight of 4 tons ?
Output: 28
Problem: two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 22 seconds . the ratio of their speeds is ?
Output: 1 / 1
Problem: exactly 3 / 7 of the people in the room are under the age of 21 , and exactly 5 / 9 of the people in the room are over the age of 65 . if the total number of the people in the room is greater than 50 and less than 100 , how many people in the room are under the age of 21 ?
Output: 27
Problem: 4 , 12 , 48 , 240 , 1440 , 10080 , ( . . . )
Output: 80640
Problem: the product of two successive numbers is 7832 . which is the smaller of the two numbers ?
Output: 88
Problem: the value of 3.6 x 0.48 x 2.50 / 0.12 x 0.09 x 0.5 is
Output: 800
Problem: two pipes can fill the cistern in 10 hr and 12 hr respectively , while the third empty it in 30 hr . if all pipes are opened simultaneously , then the cistern will be filled in
Output: 6.67 hr
Problem: if 1 / 8 of a pencil is black 1 / 2 of the remaining is white and the remaining 7 / 2 is blue find the total length of the pencil ?
Output: 9.33 cm
Problem: the average temperature for monday , tuesday , wednesday and thursday was 48 degrees and for tuesday , wednesday , thursday and friday was 46 degrees . if the temperature on monday was 42 degrees . find the temperature on friday ?
Output: 34
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 ?
Output: 17.7
Problem: two cyclist start from the same places in opposite directions . one is going towards north at 30 kmph and the other is going towards south 40 kmph . what time will they take to be 50 km apart ?
Output: 0.714 hrs
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 ?
Output: 20
Problem: the average of 5 consecutive odd numbers a , b , c , d and e is 13 . what percent of b is c ?
Output: 118.2
Problem: a palindrome is a number that reads the same forward and backward , such as 343 . how many odd , 8 - digit numbers are palindromes ?
Output: 5000
Problem: a person borrows rs . 7000 for 2 years at 4 % p . a . simple interest . he immediately lends it to another person at 6 p . a for 2 years . find his gain in the transaction per year .
Output: 140 rs
Problem: two tests had the same maximum mark . the pass percentages in the first and the second test were 40 % and 45 % respectively . a candidate scored 240 marks in the second test and failed by 57 marks in that test . find the pass mark in the first test ?
Output: 264
Problem: if the side of the regular hexagon above is 2 , what is the circumference of the inscribed circle ?
Output: 2 ∏ √ 3', 'b ) 3 ∏', 'c ) 4 ∏ / √ 3', 'd ) 2 ∏ / √ 3', 'e ) ∏ √ 3'
Problem: what is the difference between the local value of 1 and 2 in the number 2124 ?
Output: 80
Problem: in 10 years , a will be twice as old as b was 10 years ago . if a is now 7 years older than b the present age of b is
Output: 37
Problem: the ratio of the present age of sandy to that of molly is 9 : 2 . eight years from now , the ratio of the ages of sandy to molly will be 5 : 2 . what was sandy ' s age 6 years ago ?
Output: 21
Problem: rebecca ' s annual income is $ 15 , and jimmy ' s annual income is $ 18 . by how much must rebecca ' s annual income increase so that it constitutes 50 % of rebecca and jimmy ' s combined income ?
Output: 3
Problem: you buy a piece of land with an area of â ˆ š 1600 , how long is one side of the land plot ?
Output: 40
Problem: a can do a work in 15 days b in 14 days and c in 16 days . if they work on it together then in how many days required to complete the work ?
Output: 3360 / 674
Problem: tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 10 meters and a circumference of 9 meters , and the interior of tank b has a height of 9 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ?
Output: 90 %
Problem: what is the smallest positive integer x such that 66 - x is the cube of a positive integer
Problem: a cistern can be filled by a tap in 6 hours while it can be emptied by another tap in 12 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?
Output: 12 hrs
Problem: seed mixture x is 40 percent ryegrass and 60 percent bluegrass by weight ; seed mixture y is 25 percent ryegrass and 75 percent fescue . if a mixture of x and y contains 40 percent ryegrass , what percent of the weight of this mixture is x ?
Output: 100 %
Problem: a survey of n people in the town of eros found that 50 % of them preferred brand a . another survey of 125 people in the town of angie found that 60 % preferred brand a . in total , 55 % of all the people surveyed together preferred brand a . what is the total number of people surveyed ?
Output: 25
Problem: the operation is defined for all integers a and b by the equation ab = ( a - 1 ) ( b - 1 ) . if y 12 = 110 , what is the value of y ?
Output: 11
Problem: each month a retailer sells 100 identical items . on each item he makes a profit of $ 60 that constitutes 10 % of the item ' s price to the retailer . if the retailer contemplates giving a 5 % discount on the items he sells , what is the least number of items he will have to sell each month to justify the policy of the discount ?
Output: 223
Problem: a and b go around a circular track of length 200 m on a cycle at speeds of 36 kmph and 72 kmph . after how much time will they meet for the first time at the starting point ?
Output: 20 sec
Problem: if x and y are both odd prime numbers and x < y , how many distinct positive r integer factors does 2 xy have ?
Output: 8
Problem: a man can row 8 kmph in still water . when the river is running at 3 kmph , it takes him 1 hour to row to a place and black . what is the total distance traveled by the man ?
Output: 6.
Problem: the length of a train and that of a platform are equal . if with a speed of 36 k / hr , the train crosses the platform in one minute , then the length of the train ( in meters ) is ?
Output: 300
Problem: the overall age of x and y is 19 year greater than the overall age of y and z . z is how many decades younger that x ?
Output: 19
Problem: for all real numbers v , an operation is defined by the equation v * = v - v / 3 . if ( v * ) * = 16 , then v =
Output: 36
Problem: find the perimeter and area of the rectangle of length 11 cm and breadth 9 cm .
Output: 99 cm 2
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 ?
Output: 180
Problem: two trains are moving in the same direction at 108 kmph and 54 kmph . the faster train crosses a man in the slower train in 24 seconds . find the length of the faster train ?
Output: 36
Problem: a student travels from his house to school at 10 km / hr and reaches school 2 hours late . the next day he travels 15 km / hr and reaches school 1 hour early . what is the distance between his house and the school ?
Output: 90
Problem: a train 250 m long , running with a speed of 50 km / hr will pass a tree in ?
Output: 18 sec
Problem: the length of minute hand of a clock is 5.4 cm . what is the area covered by this in 20 minutes
Output: 30.54
Problem: country x imposes a two - tiered tax on imported cars : the first tier imposes a tax of 25 % 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 15 % . if ron imported a $ 30000 imported car and ended up paying $ 5500 in taxes , what is the first tier ' s price level ?
Output: $ 10000
Problem: in the faculty of reverse - engineering , 230 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 80 % of the total ?
Output: 649 .
Problem: the standard deviation of a normal distribution of data is 2 , and 3 standard deviations below the mean is greater than 48 . what is a possible value for the mean of the distribution ?
Output: 55
Problem: a certain telephone company offers two plans , a and b . under plan a , the company charges a total of $ 0.60 for the first 9 minutes of each call and $ 0.06 per minute thereafter . under plan b , the company charges $ 0.08 per minute of each call . what is the duration of a call , in minutes , for which the company charges the same amount under plan a and under plan b ?
Output: 3
Problem: zachary is helping his younger brother , sterling , learn his multiplication tables . for every question that sterling answers correctly , zachary gives him 3 pieces of candy . for every question that sterling answers incorrectly , zachary takes away two pieces of candy . after 9 questions , if sterling had answered 2 more questions correctly , he would have earned 31 pieces of candy . how many of the 9 questions did zachary answer correctly ?
Output: 8
Problem: if the average of 5 positive integers is 60 and the difference between the largest and the smallest of these 5 numbers is 10 , what is the maximum value possible for the largest of these 5 integers ?
Output: 68
Problem: in a certain company , a third of the workers do not have a retirement plan . 20 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 160 of the workers of that company are men , how many of the workers are women ?
Output: 14
Problem: the cost of a one - family home was $ 120,000 in 1980 . in 1988 , the price had increased to $ 180,000 . what was the percent increase in the cost of the home ?
Output: 50 %
Problem: sum of 53 odd numbers is ?
Output: 2809
Problem: find the value of 5 + 2 â € ¢ ( 8 â € “ 3 )
Output: 1
Problem: the mass of 1 cubic meter of a substance is 500 kilograms under certain conditions . what is the volume , in cubic centimeters , of 1 gram of this substance under these conditions ? ( 1 kilogram = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters )
Output: 2.0
Problem: what least number should be added to 1057 , so that the sum is completely divisible by 23
Output: b ) 1
Problem: he ratio between the sale price and the cost price of an article is 5 : 6 . what is the ratio between the profit and the cost price of that article ?
Output: 1 : 6
Problem: . in digging a pond 20 m * 10 m * 5 m the volumes of the soil extracted will be ?
Output: 1000
Problem: when 1 / 20 % of 8,000 is subtracted from 1 / 10 of 8,000 , the difference is
Output: 798
Problem: 35 % of the employees of a company are men . 60 % of the men in the company speak french and 40 % of the employees of the company speak french . what is % of the women in the company who do not speak french ?
Output: 70.77
Problem: how many integers k greater than 100 and less than 700 are there such that if the hundreds and the unit digits of k are reversed , the resulting integer is k + 99 ?
Output: 50
Problem: a motorcyclist started riding at highway marker a , drove 120 miles to highway marker b , and then , without pausing , continued to highway marker c , where she stopped . the average speed of the motorcyclist , over the course of the entire trip , was 45 miles per hour . if the ride from marker a to marker b lasted 3 times as many hours as the rest of the ride , and the distance from marker b to marker c was half of the distance from marker a to marker b , what was the average speed , in miles per hour , of the motorcyclist while driving from marker b to marker c ?
Output: 6
Problem: which greatest possible length can be used to measure exactly 15 meter 20 cm , 12 meter 20 cm and 14 meter 20 cm
Output: 20 cm
Problem: dick and jane each saved $ 5,000 in 1989 . in 1990 dick saved 10 percent more than in 1989 , and together he and jane saved a total of $ 10,000 . approximately what percent less did jane save in 1990 than in 1989 ?
Output: 10 %
Problem: robert ate 7 chocolates , nickel ate 5 chocolates . how many more chocolates did robert ate than nickel ?
Output: e )
Problem: a small , rectangular park has a perimeter of 560 feet and a diagonal measurement of 600 feet . what is its area , in square feet ?
Output: 172,800', 'b ) 19,600', 'c ) 20,000', 'd ) 20,400', 'e ) 20,800'
Problem: on dividing 109 by a number , the quotient is 9 and the remainder is 1 . find the divisor
Output: 12
Problem: find compound interest on $ 10000 at 15 % per annum for 2 years 4 months , compounded annually .
Output: 3886.25
Problem: having received his weekly allowance , john spent 3 / 5 of his allowance at the arcade . the next day he spent one third of his remaining allowance at the toy store , and then spent his last $ 1.28 at the candy store . what is john ’ s weekly allowance ?
Output: $ 4.8
Problem: what is the range of all the roots of | x ^ 2 - 4 | = x ?
Output: 3
Problem: sides of a rectangular park are in the ratio 3 : 2 and its area is 3750 sq m , the cost of fencing it at 60 ps per meter is ?
Output: 150
Problem: the cost price of a radio is rs . 1680 and it was sold for rs . 1450 , find the loss % ?
Output: 13
Problem: when positive integer n is divided by positive integer p , the quotient is 18 , with a remainder of 7 . when n is divided by ( p + 3 ) , the quotient is 15 and the remainder is 1 . what is the value of n ?
Output: 20
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 :
Output: 13.3 km
Problem: a big container is 30 % full with water . if 45 liters of water is added , the container becomes 3 / 4 full . what is the capacity of the big container ?
Output: 100 liter
Problem: 32 % of 1500 is
Output: 480
Problem: find the smallest number that should be multiplied with 54000 to make it a perfect cube .
Output: 4', 'b ) 5', 'c ) 6', 'd ) 3', 'e ) 7'
Problem: a “ palindromic integer ” is an integer that remains the same when its digits are reversed . so , for example , 43334 and 516615 are both examples of palindromic integers . how many 6 - digit palindromic integers are both even and greater than 500000 ?
Output: 200
Problem: the average of 7 numbers is 25 . if each number be multiplied by 5 . find the average of new set of numbers ?
Output: d ) 125
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 ?
Output: 25
Problem: there are cats got together and decided to kill the mice of 999964 . each cat kills equal number of mice and each cat kills more number of mice than cats there were . then what are the number of cats ?
Output: 994,100
Problem: what is the remainder when you divide 2 ^ 200 - 1 by 7 ?
Output: 3
Problem: a courtyard is 25 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm . the total number of bricks required is :
Output: 20000
Problem: find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 1008 ?
Output: 900
Problem: if a sum of money doubles itself in 20 years at simple interest , the ratepercent per annum is
Output: 5
Problem: what is the greatest integer m for which the number 50 ! / 10 ^ m is an integer ?
Output: 1
Problem: at joes steakhouse the hourly wage for a chef is 20 % greater than that of a dishwasher , and the hourly wage of a dishwasher is half as much as the hourly wage of a manager . if a managers wage is $ 7.50 per hour , how much less than a manager does a chef earn each hour ?
Output: $ 3
Problem: a person incurs a loss of 5 % be selling a watch for rs . 1140 . at what price should the watch be sold to earn 5 % profit
Output: rs . 1260
Problem: a train is 400 meter long is running at a speed of 60 km / hour . in what time will it pass a signal post ?
Output: 24 seconds
Problem: the average of first 10 natural numbers is ?
Output: 5.5
Problem: if a / b = 4 / 5 , then ( 5 a - 3 b ) / ( 5 a + 3 b ) = ?
Output: 1 /
Problem: how long does a train 105 m long running at the speed of 68 km / hr takes to cross a bridge 90 m length ?
Output: 10.7 sec
Problem: there are 6 people in the elevator . their average weight is 152 lbs . another person enters the elevator , and increases the average weight to 151 lbs . what is the weight of the 7 th person .
Output: 145
Problem: ms . lopez deposits $ 150 in an account that pays 20 % interest , compounded semiannually . how much money will there be in the account at the end of one year ?
Output: $ 181.15
Problem: a , b , c can complete a piece of work in 25 , 5,10 days . working together , they complete the same work in how many days ?
Output: 50 / 17
Problem: how much is 70 % of 40 is greater than 4 / 5 of 25 ?
Problem: one man adds 3 liters of water to 12 liters of milk and another 4 liters of water to 10 liters of milk . what is the ratio of the strengths of milk in 2 mixtures ?
Output: 28 : 25
Problem: 27 is a perfect cube . when x is added to the prime factor of 27 , the result is a prime number . what is x ?
Output: 8
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 ?
Output: 9 %
Problem: the price of stock decreased by 5 % last year and rose by 10 % this year . what is the net percentage change in the price of the stock ?
Output: 4.5
Problem: the speed of a subway train is represented by the equation z = s ^ 2 + 2 s for all situations where 0 ≤ s ≤ 7 , where z is the rate of speed in kilometers per hour and s is the time in seconds from the moment the train starts moving . in kilometers per hour , how much faster is the subway train moving after 7 seconds than it was moving after 5 seconds ?
Output: 28
Problem: a soccer team played 280 games and won 65 percent of them . how many games did it win ?
Output: 182
Problem: the difference between two numbers is 2395 . when the larger number is divided by the smaller one , the quotient is 6 and the remainder is 15 . the smaller number is
Output: 476
Problem: right triangle xyzs the base of the prism in the figure above . if xy = xz = â ˆ š 9 and the height of the prism is 6 , what is the volume of the prism ?
Output: 27', 'c ) 13', 'd ) 12', 'e ) 15'
Problem: on dividing 22 by a number , the quotient is 7 and the remainder is 1 . find the divisor .
Output: 3
Problem: the smallest number which when diminished by 5 , is divisible by 12 , 16 , 18 , 21 and 28 is
Output: 1013
Problem: the ratio between x and y is 7 / 5 ; x is multiplied by y and y is multiplied by x , what is the ratio between the new values of x and y ?
Output: 1
Problem: when x is multiplied by 3 , the result is 14 more than the result of subtracting x from 26 . what is the value of x ?
Output: 10
Problem: raman , lakshmi and muthu enter into partnership . raman invests some money at the beginning , lakshmi invests double the amount after 6 months , and muthu invests thrice the amount after 8 months . if the annual gain be rs . 36000 . lakshmi ' s share is ?
Output: 12000
Problem: in a house a hall is 20 m long , 15 m wide and 5 m high . its interior has to be covered with mat . what will be the total expenditure if it costs rs . 10 per square m ?
Output: s . 9500
Problem: how many multiples of 4 are less than 6540 , and also multiples of 7 ?
Output: 234
Problem: 31 of the scientists that attended a certain workshop were wolf prize laureates , and 18 of these 31 were also nobel prize laureates . of the scientists that attended that workshop and had not received the wolf prize , the number of scientists that had received the nobel prize was 3 greater than the number of scientists that had not received the nobel prize . if 50 of the scientists attended that workshop , how many of them were nobel prize laureates ?
Output: d ) 29
Problem: if 4 men can colour 48 m long cloth in 2 days , then 2 men can colour 36 m long cloth in
Output: 3 days
Problem: how many integers between 324,700 and 458,600 have tens digit 1 and units digit 3 ?
Output: 1,33
Problem: a library has an average of 540 visitors on sundays and 240 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is :
Output: 290
Problem: on the number line , the number p is twice as many units from - 2 as - 2 is from 5 . if p is less than – 2 , what is the value of p ?
Output: – 16
Problem: when sold at a 70 % discount , a sweater nets the merchant a 40 % profit on the wholesale cost at which he initially purchased the item . by what % is the sweater marked up from wholesale at its normal retail price ?
Output: 78.58
Problem: on a certain farm the ratio of horses to cows is 4 : 1 . if the farm were to sell 15 horses and buy 15 cows , the ratio of horses to cows would then be 13 : 7 . after the transaction , how many more horses than cows would the farm own ?
Output: 30
Problem: the total age of a and b is 12 years more than the total age of b and c . c is how many year younger than a
Output: 12
Problem: if the diameter of circle r is 40 % of the diameter of circle s , the area of circle r is what percent of the area of circle s ?
Output: 16 %
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 ?
Output: 12
Problem: mary can do a piece of work in 26 days . rosy is 30 % more efficient than mary . the number of days taken by rosy to do the same piece of work is ?
Output: 20
Problem: if 2 ^ 4 , 3 ^ 3 , and 13 ^ 3 are factors of the product of 1,452 and w , where w is a positive integer , what is the smallest possible value of w ?
Output: 46
Problem: during a certain two - week period , 58 percent of the movies rented from a video store were comedies , and of the remaining movies rented , there were 5 times as many dramas as action movies . if no other movies were rented during that two - week period and there were a action movies rented , then how many comedies , in terms of a , were rented during that two - week period ?
Output: 8 2 / 3 a
Problem: a student has to obtain 33 % of the total marks to pass . he got 175 marks and failed by 56 marks . the maximum marks are ?
Output: 70
Problem: if s and t are both odd prime numbers ands < t , then how many different positive integer factors does 2 sthave ?
Output: 8
Problem: the maximum number of student amoung them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
Output: 91
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 ?
Output: 70
Problem: if x is invested in a bank at a rate of simple interest of y % p . a . for two years , then the interest earned is 900 . if x is invested at y % p . a . , for two years when the interest is compounded annually , the interest is 922.50 . what is the value of x ?
Output: 9000
Problem: teas worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs 153 per kg , the price of the third variety per kg will be ?
Output: rs . 175.50
Problem: the number of boxes in a warehouse can be divided evenly into 7 equal shipments by boat or 28 equal shipments by truck . what is the smallest number of boxes that could be in the warehouse ?
Output: 28
Problem: in what time will a railway train 50 m long moving at the rate of 36 kmph pass a telegraph post on its way ?
Output: 5 sec
Problem: the marks obtained by vijay and amith are in the ratio 8 : 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 ?
Output: 12 : 5
Problem: in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the run rate in the remaining 22 overs to reach the target of 282 runs ?
Output: 11.36
Problem: x varies inversely as square of y . given that y = 3 for x = 1 . the value of x for y = 9 will be equal to :
Output: 1 / 9
Problem: a train running at the speed of 90 km / hr crosses a pole in 5 seconds . find the length of the train .
Output: 125 meter
Problem: find the mean proportional between 64 & 81 ?
Output: d ) 72
Problem: if ( a + b ) = 12 , ( b + c ) = 9 and ( c + d ) = 3 , what is the value of ( a + d ) ?
Output: 6 .
Problem: if the area of a circle is 64 pi square feet , find its circumference .
Output: 16 pi fee
Problem: what is the lowest positive integer that is divisible by each of the integers 1 through 8 inclusive ?
Output: 840
Problem: what is the perimeter of an isosceles right angled triangle . the area of the isosceles right angled triangle is 50 .
Output: 34.14'
Problem: here 10 programmers , type 10 lines within 10 minutes then 60 lines can type within 60 minutes . how many programmers are needed ?
Output: 60
Problem: in a certain business school class , p students are accounting majors , q students are finance majors , r students are marketing majors , and s students are strategy majors . if pqrs = 1365 , and if 1 < p < q < r < s , how many students in the class are strategy majors ?
Output: 1
Problem: in a store , the total price for 25 shirts is $ 400 and the total price for 75 sweaters is $ 1500 . by how much does the average ( arithmetic mean ) price of a sweater exceed that of a shirt in this store ?
Output: $ 4
Problem: jamshid can paint a fence in 50 percent less time than taimour can when each works alone . when they work together , they can paint the fence in 6 hours . how long would it take taimour to paint the fence alone ?
Output: 18 hours
Problem: if the least common multiple of two prime numbers x and y is 10 , where x < y , then the value of 3 x + y is
Output: 11
Problem: if x is invested in a bank at a rate of simple interest of y % p . a . for two years , then the interest earned is 800 . if x is invested at y % p . a . , for two years when the interest is compounded annually , the interest is 820 . what is the value of x ?
Output: 8000
Problem: i had 30 donuts when i left home this morning but only 9 when i came back home . what percentage of the donuts are missing ?
Output: 70
Problem: a semicircle has a radius of 10 . what is the approximate perimeter of the semicircle ?
Output: 5
Problem: find the average of the first 19 natural numbers ?
Output: 10
Problem: if the remainder is 11 when positive integer n is divided by 18 , what is the remainder when n is divided by 9 ?
Output: 2
Problem: in a certain game , a large bag is filled with blue , green , purple and red chips worth 1 , 5 , x and 11 points each , respectively . the purple chips are worth more than the green chips , but less than the red chips . a certain number of chips are then selected from the bag . if the product of the point values of the selected chips is 88,000 , how many purple chips were selected ?
Output: 2
Problem: if n = 16 × 10 ^ ( - p ) and − 4 < p < 4 , how many different integer values of p will make n a perfect square ?
Output: 3
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
Output: 39
Problem: a reduction of 15 % in the price of salt enables a lady to obtain 10 kgs more for rs . 100 , find the original price per kg ?
Output: 1.8
Problem: on the first of the year , james invested x dollars at proudstar bank in an account that yields 2.5 % in interest every quarter year . at the end of the year , during which he made no additional deposits or withdrawals , he had y dollars in the account . if james had invested the same amount in an account which pays interest on a yearly basis , what must the interest rate be for james to have y dollars at the end of the year ?
Output: 10.5
Problem: a train which has 250 m long , is running 40 kmph . in what time will it cross a person moving at 4 kmph in same direction ?
Output: 25 se