[User]
a train requires 10 seconds to pass a pole while it requires 30 seconds to cross a stationary train which is 600 mtrs long. find the speed of the train.
Answer the question using a single word or phrase.

[Assistant] 108 kmph

[User]
the average of runs of a cricket player of 10 innings was 36. how many runs must he make in his next innings so as to increase his average of runs by 4?
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[Assistant] 80

[User]
john had a stock of 800 books in his bookshop. he sold 62 on monday, 62 on tuesday, 60 on wednesday, 48 on thursday and 40 on friday. what percentage of the books were not sold?
Answer the question using a single word or phrase.

[Assistant] 66 %

[User]
a palindrome is a number that reads the same front - to - back as it does back - to - front ( e. g. 202, 575, 1991, etc. ) p is the smallest integer greater than 100 that is both a prime and a palindrome. what is the sum of the digits of p?
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[Assistant] 5

[User]
two pipes a and b can fill a tank in 4 and 12 minutes respectively. if both the pipes are used together, then how long will it take to fill the tank?
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[Assistant] 3


[User]
a girl was asked to multiply a certain number by 43. she multiplied it by 34 and got his answer less than the correct one by 1206. find the number to be multiplied.
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[Assistant] 134

[User]
a company pays 18.5 % dividend to its investors. if an investor buys rs. 50 shares and gets 25 % on investment, at what price did the investor buy the shares?
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[Assistant] 37

[User]
1000 men have provisions for 20 days. if 650 more men join them, for how many days will the provisions last now?
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[Assistant] 12.1

[User]
david's bank's saving amount is decreased 10 % due to loan payment and current balance is rs. 90000. find the actual balance before deduction?
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[Assistant] 100000

[User]
the ratio of incomes of two person p 1 and p 2 is 5 : 4 and the ratio of their expenditures is 3 : 2. if at the end of the year, each saves rs. 2200, then what is the income of p 1?
Answer the question using a single word or phrase.

[Assistant] s. 5500


[User]
3 math classes : x, y, and z, take an algebra test. the average score in class x is 83. the average score in class y is 76. the average score in class z is 85. the average score of all students in classes x and y together is 79. the average score of all students in classes y and z together is 81. what is the average score for all the 3 classes, taken together?
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[Assistant] 81.5

[User]
a can finish a piece of work in 4 days. b can do it in 14 days. they work together for two days and then a goes away. in how many days will b finish the work?
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[Assistant] 5

[User]
the population of a town increased from 1, 34,000 to 2, 32,500 in a decade. the average percent increase of population per year is :
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[Assistant] 7.3 %

[User]
if r is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3 ^ k is a factor of r?
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[Assistant] 14

[User]
rs. 460 was divided among 41 boys and girls such that each boy rs. 12 and each girl got rs. 8. what is the number of boys?
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[Assistant] 33


[User]
a shopkeeper sells 200 metres of cloth for rs. 18000 at a loss of rs. 5 per metre. find his cost price for one metre of cloth?
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[Assistant] 95

[User]
find the total number of prime factors in the expression ( 4 ) ^ 11 x ( 7 ) ^ 5 x ( 11 ) ^ 2.
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[Assistant] 29

[User]
1235 1253 1325......... + 5321 the addition problem above shows 4 of the 24 different integers that can be formed by using each of the digits 12, 35 exactly once in each integer. what is the sum of these 24 integers?
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[Assistant] 73,326

[User]
a glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution. if 45 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container?
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[Assistant] 6.75

[User]
two trains of equal lengths take 5 sec and 15 sec respectively to cross a telegraph post. if the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Answer the question using a single word or phrase.

[Assistant] 7.5


[User]
machine a and machine b are each used to manufacture 880 sprockets. it takes machine a 10 hours longer to produce 880 sprockets than machine b. machine b produces 10 % more sprockets per hour than machine a. how many sprockets per hour does machineaproduce?
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[Assistant] 8.8

[User]
an empty fuel tank with a capacity of 204 gallons was filled partially with fuel a and then to capacity with fuel b. fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume. if the full fuel tank contains 30 gallons of ethanol, how many gallons of fuel a were added?
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[Assistant] 66

[User]
what is the largest 4 digit number exactly divisible by 50?
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[Assistant] 9950

[User]
if teena is driving at 55 miles per hour and is currently 7.5 miles behind poe, who is driving at 40 miles per hour in the same direction then in how many minutes will teena be 15 miles ahead of poe?
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[Assistant] 90

[User]
the compound interest earned on a sum for the second and the third years are $ 1400 and $ 1512 respectively. what is the rate of interest?
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[Assistant] 8 %


[User]
in a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 2 to the thrice of the remainder. the dividend is
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[Assistant] 86

[User]
a number when divided by 44, gives 432 as quotient and 0 as remainder. what will be the remainder when dividing the same number by 31
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[Assistant] 5

[User]
if $ 120 invested at a certain rate of simple interest amounts to $ 160 at the end of 3 years, how much will $ 150 amount to at the same rate of interest in 6 years?
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[Assistant] $ 250

[User]
the population of a town increased from 1, 33,400 to 1, 93,500 in a decade. the average percent increase of population per year is :
Answer the question using a single word or phrase.

[Assistant] 4.5 %

[User]
a = 5 ^ 15 - 625 ^ 3 and a / x is an integer, where x is a positive integer greater than 1, such that it does not have a factor p such that 1 < p < x, then how many different values for x are possible?
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[Assistant] two


[User]
a car takes 6 hours to cover a distance of 360 km. how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time?
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[Assistant] 40

[User]
if 4 people are selected from a group of 7 married couples, what is the probability that none of them would be married to each other?
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[Assistant] 47 / 84

[User]
a shopkeeper has 100 kg of apples. he sells 50 % of these at 25 % profit and remaining 50 % at 30 % profit. find his % profit on total.
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[Assistant] 27.5 %

[User]
a card game called “ high - low ” divides a deck of 52 playing cards into 2 types, “ high ” cards and “ low ” cards. there are an equal number of “ high ” cards and “ low ” cards in the deck and “ high ” cards are worth 2 points, while “ low ” cards are worth 1 point. if you draw cards one at a time, how many ways can you draw “ high ” and “ low ” cards to earn 6 points if you must draw exactly 4 “ low ” cards?
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[Assistant] 5

[User]
a dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 970 gm. for a kg. his gain is … %.
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[Assistant] 3.09 %


[User]
if 2 ^ ( 2 w ) = 8 ^ ( w − 6 ), what is the value of w?
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[Assistant] 18

[User]
tom traveled the entire 20 miles trip. if he did the first 10 miles of at a constant rate 12 miles per hour and the remaining trip of at a constant rate 10 miles per hour, what is the his average speed, in miles per hour?
Answer the question using a single word or phrase.

[Assistant] 10.91 mph

[User]
one pipe can fill a pool 1.25 times faster than a second pipe. when both pipes are opened, they fill the pool in five hours. how long would it take to fill the pool if only the faster pipe is used?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
the revenue from sales items in 1996 increases by x percent, compared in 1995 and the revenue in 1997 decreases by x percent, compared in 1996. if the revenue from sales items in 1997 decreases by 4 percent, compared in 1995, what is the value of x?
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[Assistant] 20

[User]
peter has $ 642986 in his savings account. what is the least amount of money ( in whole number of dollars ) that he must add to his account if he wants to split this money evenly among his 9 children?
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[Assistant] $ 642987


[User]
a car travels first 160 km at 75 km / hr and the next 160 km at 70 km / hr. what is the average speed for the first 320 km of the tour?
Answer the question using a single word or phrase.

[Assistant] 72.4

[User]
a train overtakes two persons who are walking in the same direction to that of the train at 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. what is the length of the train?
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[Assistant] 50 m

[User]
what is 15 percent of 68?
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[Assistant] 10.2

[User]
the area of a parallelogram is 98 sq m and its altitude is twice the corresponding base. then the length of the base is?
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[Assistant] 7

[User]
tom and linda stand at point a. linda begins to walk in a straight line away from tom at a constant rate of 2 miles per hour. one hour later, tom begins to jog in a straight line in the exact opposite direction at a constant rate of 8 miles per hour. if both tom and linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes tom to cover half of the distance that linda has covered and the amount of time it takes tom to cover twice the distance that linda has covered?
Answer the question using a single word or phrase.

[Assistant] 40


[User]
a and b began business with rs. 3000 and rs. 4000 after 8 months, a withdraws rs. 1000 and b advances rs. 1000 more. at the end of the year, their profits amounted to rs. 840 find the share of a.
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[Assistant] 320

[User]
set # 1 = { a, b, o, d, e } set # 2 = { k, l, m, n, u, p } there are these two sets of letters, and you are going to pick exactly one letter from each set. what is the probability of picking at least one vowel?
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[Assistant] 2 / 3

[User]
roy is now 6 years older than julia and half of that amount older than kelly. if in 2 years, roy will be twice as old as julia, then in 2 years what would be roy ’ s age multiplied by kelly ’ s age?
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[Assistant] 108

[User]
if x is equal to the sum of the integers from 30 to 40, inclusive, and y is the number of even integers from 30 to 40, inclusive, what is the value of x + y?
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[Assistant] 391

[User]
a small company is planning to rent either computer a or computer b to print customer mailing lists. both computer a and computer b must be rented on an hourly basis. the rental fee is based only on the amount of time the computer is turned on. it will cost 40 percent more per hour to rent computer a than to rent computer b. computer b would, however, require 20 hours more than computer a to do the job. if either computer a, or computer b were rented the total cost to rent the computer would be $ 850.00. what would be the approximate hourly charge to rent computer b?
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[Assistant] $ 12.14


[User]
5358 x 56 =?
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[Assistant] 300048

[User]
excluding stoppages, the speed of a bus is 80 kmph and including stoppages, it is 60 kmph. for how many minutes does the bus stop per hour?
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[Assistant] 15 min

[User]
the average age of a, b and c is 27 years. if the average age of a and c is 29 years, what is the age of b in years?
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[Assistant] 23

[User]
a man buys a cycle for rs. 1400 and sells it at loss of 15 %. what is the selling price of the cycle?
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[Assistant] 1190

[User]
a strain of bacteria reproduces @ 25 % every 12 min. in how much time will it triple itself??
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[Assistant] 60 min


[User]
a person want to give his money of $ 1000 to his 3 children a, b, c in the ratio 6 : 4 : 5 what is the a + b share?
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[Assistant] $ 666.67

[User]
in a group of cows and hens, the number of legs are 10 more than twice the number of heads. the number of cows is :
Answer the question using a single word or phrase.

[Assistant] 5

[User]
a survey was sent to 60 customers, 7 of whom responded. then the survey was redesigned and sent to another 63 customers, 9 of whom responded. by approximately what percent did the response rate increase from the original survey to the redesigned survey?
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[Assistant] 2 %

[User]
12 persons can complete the work in 18 days. after working for 6 days, 4 more persons added to complete the work fast. in how many days they will complete the work?
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[Assistant] 9

[User]
if 2 / 3 of the air in a tank is removed with each stroke of a vacuum pump, how many strokes does it take before less than 1 % of the original amount of air in the tank remains?
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[Assistant] 5


[User]
mahesh can do a piece of work in 35 days. he works at it for 20 days and then rajesh finished it in 30 days. how long will y take to complete the work?
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[Assistant] 70

[User]
for every x, the action [ x ] is defined : [ x ] is the greatest integer less than or equal to x. what is the value of [ 6.5 ] x [ 2 / 3 ] + [ 2 ] x 7.2 + [ 8.4 ] - 6.0?
Answer the question using a single word or phrase.

[Assistant] 16.4.

[User]
a parking garage rents parking spaces for $ 10 per week or $ 42 per month. how much does a person save in a year by renting by the month rather than by the week?
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[Assistant] $ 16

[User]
what is the least number which when divided by 8, 12, 15 and 20 leaves in each case a remainder of 5
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[Assistant] 125

[User]
if xy = 4, x / y = 81, for positive numbers x and y, y =?
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[Assistant] 2 / 9


[User]
a fellow borrowed a certain sum of money at 6 % per annum at simple interest and in 6 years the interest amounted to rs. 672 less than the sum lent. what was the sum lent?
Answer the question using a single word or phrase.

[Assistant] 1050

[User]
the 7 th grade french and spanish classes each have 21 students in them, and there are 6 students in the 7 th grade taking both languages. if everyone in the 7 th grade is in at least one of the two language classes, how many students are taking just one of the two classes?
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[Assistant] 30

[User]
a company that ships boxes to a total of 14 distribution centers uses color coding to identify each center. if either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding? ( assume that the order of the colors in a pair does not matter )
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[Assistant] 5

[User]
a, b, c hired a car for rs. 520 and used it for 7,8 and 11 hours respectively. hire charges paid by b were :
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[Assistant] 160

[User]
maximun number of identical pieces ( of same size ) of a cake by making only 3 cuts?
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[Assistant] 8


[User]
16 men can complete a piece of work in 25 days. in how many days can 15 men complete that piece of work?
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[Assistant] 26.7 days

[User]
a bus trip of 280 miles would have taken 1 hour less if the average speed v for the trip had been greater by 5 miles per hour. what was the average speed v, in miles per hour, for the trip?
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[Assistant] 35

[User]
the total age of a and b is 15 years more than the total age of b and c. c is how many years younger than a?
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[Assistant] 15

[User]
the toll for crossing a certain bridge is $ 0.75 each crossing. drivers who frequently use the bridge may instead purchase a sticker each month for $ 11.00 and then pay only $ 0.30 each crossing during that month. if a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day, what is the least value of x for which this driver can save money by using the sticker?
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[Assistant] 29

[User]
mother, her daughter and her grand child weighs 160 kg. daughter and her daughter ( child ) weighs 60 kg. child is 1 / 5 th of her grand mother. what is the age of the daughter?
Answer the question using a single word or phrase.

[Assistant] 40


[User]
a batsman makes a score of 100 runs in the 17 th inning and thus increases his averages by 5. what is his average after 17 th inning?
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[Assistant] 20

[User]
a fair coin is tossed 5 times. what is the probability of getting more heads than tails in 5 tosses?
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[Assistant] 1 / 2

[User]
the difference between the squares of two consecutive numbers is 35. the numbers are
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[Assistant] 17,18

[User]
john want to buy a $ 100 trouser at the store, but he think it ’ s too expensive. finally, it goes on sale for $ 60. what is the percent decrease?
Answer the question using a single word or phrase.

[Assistant] 40 %

[User]
if rs. 561 be divided among a, b, c in such a way that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets, then their shares are respectively?
Answer the question using a single word or phrase.

[Assistant] s. 396


[User]
a certain car can travel 56 kilometers on a liter of fuel. if the fuel tank ’ s contents decrease by 3.9 gallons over a period of 5.7 hours as the car moves at a constant speed, how fast is the car moving, in miles per hour? ( 1 gallon = 3.8 liters ; 1 mile = 1.6 kilometers )
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[Assistant] 91

[User]
if the length of the longest chord of a certain circle is 14, what is the radius of that certain circle?
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[Assistant] 7

[User]
at a certain organisation, the number of male members went up by 13 % in the year 2001 from year 2000, and the number of females members went down by 6 % in the same time period. if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001, what was the ratio of male members to female members in the year 2000?
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[Assistant] 3 : 5

[User]
in a certain pond, 40 fish were caught, tagged, and returned to the pond. a few days later, 50 fish were caught again, of which 2 were found to have been tagged. if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
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[Assistant] 1,000

[User]
set a of 8 positive integers may have the same element and have 35. and set b of 8 positive integers must have different elements and have 35. when m and n are the greatest possible differences between 35 and other elements ’ sums in set a and set b, respectively, m - n =?
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[Assistant] 21


[User]
a vessel of capacity 50 litres is fully filled with pure milk. nine litres of milk is removed from the vessel and replaced with water. nine litres of the solution thus formed is removed and replaced with water. find the quantity of pure milk in the final milk solution?
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[Assistant] 33.62

[User]
on a saturday night, each of the rooms at a certain motel was rented for either $ 40 or $ 60. if 10 of the rooms that were rented for $ 60 had instead been rented for $ 40, then the total rent the motel charged for that night would have been reduced by 20 percent. what was the total rent the motel actually charged for that night?
Answer the question using a single word or phrase.

[Assistant] $ 1,000

[User]
total of the ages of a, b ahd c at present is 90 years. 10 years ago, the ratio of their ages was 1 : 2 : 3. what is the age of b at present
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[Assistant] 30

[User]
( ( - 1.9 ) ( 0.6 ) – ( 2.6 ) ( 1.2 ) ) / 8.0 =?
Answer the question using a single word or phrase.

[Assistant] - 0.53

[User]
two pipes a and b can separately fill a tank in 12 and 20 minutes respectively. a third pipe c can drain off 45 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?
Answer the question using a single word or phrase.

[Assistant] 675


[User]
a cube with its sides numbered 1 through 6 is rolled twice, first landing on a and then landing on b. if any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6, what is the probability e that a + b is prime?
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[Assistant] 5 / 12

[User]
if 100 < x < 199 and 20 < y < 100, then the product xy can not be equal to :
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[Assistant] 1900

[User]
if d | | d ', d : 2 x - y = 1 and d ' : ( a - 1 ) x + 2 y = x - 2, then find the value of a.
Answer the question using a single word or phrase.

[Assistant] - 2

[User]
money invested at x %, compounded annually, triples in value in approximately every 112 / x years. if $ 2500 is invested at a rate of 8 %, compounded annually, what will be its approximate worth in 28 years?
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[Assistant] $ 22,500

[User]
let a be the event that a randomly selected two digit number is divisible by 3 and let b be the event that a randomly selected two digit number is divisible by 2. what is p ( a and b )?
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[Assistant] 1 / 6


[User]
replace x with the appropriate number in 4, 5, 14, 15, 24, 25, x
Answer the question using a single word or phrase.

[Assistant] 34

[User]
the radius of a semi circle is 3.5 cm then its perimeter is?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
if bill can buy 3 pairs of jeans and 2 shirts for $ 69 or 2 pairs of jeans and 3 shirts for $ 71, how much does one shirt cost?
Answer the question using a single word or phrase.

[Assistant] $ 15

[User]
3 friends a, b, c went for week end party to mcdonald ’ s restaurant and there they measure there weights in some order in 7 rounds. a, b, c, ab, bc, ac, abc. final round measure is 165 kg then find the average weight of all the 7 rounds?
Answer the question using a single word or phrase.

[Assistant] 94.2 kgs

[User]
the area of a rectangular field is equal to 800 square meters. its perimeter is equal to 120 meters. find the width of this rectangle.
Answer the question using a single word or phrase.

[Assistant] 20


[User]
lisa and robert have taken the same number of photos on their school trip. lisa has taken 3 times as many photos as claire and robert has taken 20 more photos than claire. how many photos has claire taken?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
in a company, 48 percent of the employees are men. if 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non - union employees are women?
Answer the question using a single word or phrase.

[Assistant] 85 %

[User]
by weight, liquid x makes up 0.8 percent of solution a and 1.8 percent of solution b. if 500 grams of solution a are mixed with 700 grams of solution b, then liquid x accounts for what percent of the weight of the resulting solution?
Answer the question using a single word or phrase.

[Assistant] 1.66 %

[User]
what number has a 5 : 1 ratio to the number 9?
Answer the question using a single word or phrase.

[Assistant] 45

[User]
there are 100 employees in a room. 99 % are president. how many managers must leave the room to bring down the percentage of president to 98 %?
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[Assistant] 2


[User]
what is the compound interest paid on a sum of rs. 3000 for the period of 3 years at 10 % per annum.
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[Assistant] 993

[User]
how many liters of water must be evaporated from 50 liters of a 3 - percent sugar solution to get a 10 - percent solution?
Answer the question using a single word or phrase.

[Assistant] 35

[User]
a person borrows rs. 6000 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.
Answer the question using a single word or phrase.

[Assistant] 120 rs

[User]
a person crosses a 1440 m long street in 12 minutes. what is his speed in km per hour?
Answer the question using a single word or phrase.

[Assistant] 7.2

[User]
an object thrown directly upward is at a height of h feet after t seconds, where h = - 14 ( t - 3 ) ^ 2 + 140. at what height, in feet, is the object 2 seconds after it reaches its maximum height?
Answer the question using a single word or phrase.

[Assistant] 84


[User]
rani bought more apples than oranges. she sells apples at ₹ 23 apiece and makes 15 % profit. she sells oranges at ₹ 10 apiece and makes 25 % profit. if she gets ₹ 653 after selling all the apples and oranges, find her profit percentage x.
Answer the question using a single word or phrase.

[Assistant] 17.4 %

[User]
the amount of time that three people worked on a special project was in the ratio of 2 to 3 to 4. if the project took 90 hours, how many more hours did the hardest working person work than the person who worked the least?
Answer the question using a single word or phrase.

[Assistant] 20 hours

[User]
a car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. if the car traveled 9 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
the ratio of the radius of two circles is 2 : 7, and then the ratio of their areas is?
Answer the question using a single word or phrase.

[Assistant] 4 : 49

[User]
karen places a bet with tom that she will beat tom in a car race by 4 miles even if karen starts 4 minutes late. assuming that karen drives at an average speed of 60 mph and tom drives at an average speed of 45 mph, how many q miles will tom drive before karen wins the bet?
Answer the question using a single word or phrase.

[Assistant] 24


[User]
there are 7 thieves. they stole diamonds from a diamond merchant and ran away. while running, night sets in and they decide to rest in the jungle. when everybody was sleeping, two of them woke up and decided to divide the diamonds equally among themselves. but when they divided the diamonds equally, one diamond is left. so they woke up the 3 rd thief and tried to divide the diamonds equally again but still one diamond was left. then they woke up the 4 th thief to divide the diamonds equally again, and again one diamond was left. this happened with the 5 th and 6 th thief – one diamond was still left. finally, they woke up the 7 th thief and this time the diamonds were divided equally. how many diamonds did they steal in total?
Answer the question using a single word or phrase.

[Assistant] 1561

[User]
in a race where 15 cars are running, the chance that car x will win is 1 / 4, that y will win is 1 / 8 and that z will win is 1 / 12. assuming that a dead heat is impossible, find the chance that one of them will win.
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[Assistant] 11 / 24

[User]
find the compound interest on $ 26,000 at 20 % per annum for 9 months, compounded quarterly
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[Assistant] 4098.25

[User]
some of 50 % - intensity red paint is replaced with 20 % solution of red paint such that the new paint intensity is 40 %. what fraction of the original paint was replaced?
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[Assistant] 1 / 3

[User]
shannon and maxine work in the same building and leave work at the same time. shannon lives due north of work and maxine lives due south. the distance between maxine's house and shannon's house is 50 miles. if they both drive home at the rate 2 r miles per hour, maxine arrives home 40 minutes after shannon. if maxine rider her bike home at the rate of r per hour and shannon still drives at a rate of 2 r miles per hour, shannon arrives home 2 hours before maxine. how far does maxine live from work?
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[Assistant] 46


[User]
how many three digit numbers r are divisible by 78 or 91?
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[Assistant] 19

[User]
the malibu country club needs to drain its pool for refinishing. the hose they use to drain it can remove 60 cubic feet of water per minute. if the pool is 60 feet wide by 150 feet long by 10 feet deep and is currently at 80 % capacity, how long will it take to drain the pool?
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[Assistant] 1200

[User]
a shopkeeper labeled the price of his articles so as to earn a profit of 50 % on the cost price. he then sold the articles by offering a discount of 10 % on the labeled price. what is the actual percent profit earned in the deal?
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[Assistant] 35 %

[User]
to be considered for “ movie of the year, ” a film must appear in at least 1 / 4 of the top - 10 - movies lists submitted by the cinematic academy ’ s 770 members. what is the smallest number of top - 10 lists a film can appear on and still be considered for “ movie of the year ”?
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[Assistant] 193

[User]
1 / 3 of girls, 1 / 2 of boys go to canteen. what factor and total number of classmates go to canteen.
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[Assistant] 2 / 5


[User]
suraj has a certain average of runs for 9 innings. in the 10 th innings he scores 200 runs thereby increasing his average by 8 runs. what is his average after the 10 th innings?
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[Assistant] 128

[User]
at a particular graduation party with 220 guests, 70 % of the guests brought gifts, and 40 % of the female guests brought gifts. if 12 males did not bring gifts to the party, how many females did bring gifts?
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[Assistant] 36

[User]
if ( 1 / 5 ) ^ m * ( 1 / 4 ) ^ 3 = 1 / ( 2 * ( 10 ) ^ 3 ), then m =
Answer the question using a single word or phrase.

[Assistant] 3

[User]
in town x, 64 percent of the population are employed, and 42 percent of the population are employed males. what percent of the employed people in town x are females?
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[Assistant] 34 %

[User]
if n divided by 7 has a remainder of 1, what is the remainder when 3 times n is divided by 7?
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[Assistant] 3


[User]
how many different pairs of positive integers ( a, b ) satisfy the equation 1 / a + 1 / b = 34 / 53?
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[Assistant] 2

[User]
in a house, there are 4 birds, 3 dogs, and 18 cats living with the human family. if the total number of feet in the house are 74 more than the number of heads in the house, how many family members are there?
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[Assistant] 7

[User]
what will be the fraction of 33.33 %
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[Assistant] 1 / 3

[User]
the ratio of the adjacent angles of a parallelogram is 6 : 9. also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. what is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral?
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[Assistant] 156 °

[User]
the h. c. f. of two numbers is 12 and their difference is 12. the numbers are
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[Assistant] 84, 96


[User]
for what value of x, is | x – 5 | + | x + 4 | + | x | = 14?
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[Assistant] 5

[User]
an amount of money is to be distributed among faruk, vasim and ranjith in the ratio 3 : 3 : 7. if vasims share is rs. 1500, what is the difference between faruk's and ranjith's shares?
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[Assistant] s 2000

[User]
a, b and c are employed to do apiece of work for rs. 529. a and c are supposed to finish 19 / 23 of the work together. how much shall be paid to b?
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[Assistant] 12

[User]
a train 990 m long is running at a speed of 78 km / hr. if it crosses a tunnel in 1 min, then the length of the tunnel is?
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[Assistant] 310

[User]
calculate how many days it will take for 5 boys to paint a 30 m long fence if 2 boys can paint a 20 m long fence in 3 days,
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[Assistant] 1.80 days


[User]
a boy is travelling from his home to school at 12 km / hr and reached 7 min late. next day he traveled at 16 km / hr and reached 8 min early. distance between home and school?
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[Assistant] 12 km

[User]
if a and b get profits of rs. 15,000 and rs. 5,000 respectively at the end of year then ratio of their investments are
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[Assistant] 3 : 1

[User]
the speed of a car is 10 km in the first hour and 60 km in the second hour. what is the average speed of the car?
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[Assistant] 35 kmph

[User]
how many integers between 324,700 and 436,600 have tens digit 1 and units digit 3?
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[Assistant] 1119

[User]
plaudia can choose any two of 4 different candles and any 8 of 9 different flowers for a centerpiece arrangement. given these choices, how many candle + flower groupings can she select?
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[Assistant] 54


[User]
in town x, 64 percent of the population are employed, and 55 percent of the population are employed males. what percent of the employed people in town x are females?
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[Assistant] 14 %

[User]
for an agricultural experiment, 300 seeds were planted in one plot and 200 were planted in a second plot. if exactly 30 percent of the seeds in the first plot germinated and exactly 35 percent of the seeds in the second plot germinated, what percent of the total number of seeds germinated?
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[Assistant] 32 %

[User]
ifaequals the sum of the even integers from 2 to 20, inclusive, andbequals the sum of the odd integers from 1 to 19, inclusive, what is the value of a + b?
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[Assistant] 210

[User]
a car takes 6 hours to cover a distance of 540 km. how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time?
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[Assistant] 60 kmph

[User]
how long will a boy take to run round a square field of side 50 meters, if he runs at the rate of 12 km / hr?
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[Assistant] 60 sec


[User]
a batsman in his 17 th innings makes a score of 85 and their by increasing his average by 3. what is his average after the 17 th innings?
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[Assistant] 37

[User]
running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. at this rate, how many bottles could 5 such machines produce in 4 minutes?
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[Assistant] 900

[User]
when a train travels at a speed of 70 kmph, it reaches the destination on time. when the same train travels at a speed of 50 kmph, it reaches its destination 15 min late. what is the length of journey?
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[Assistant] 37.5 km

[User]
p, q and r have $ 9000 among themselves. r has two - thirds of the total amount with p and q. find the amount with r?
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[Assistant] 3600

[User]
if two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is -.
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[Assistant] 1 / 2


[User]
the sum of the present ages of two persons a and b is 60. if the age of a is twice that of b, find the sum of their ages 2 years hence?
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[Assistant] 64

[User]
what is the units digit of the expression 13 ^ 27 + 1?
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[Assistant] 8

[User]
how long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 340 m in length?
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[Assistant] 27.00 sec

[User]
the cost price of 30 articles is the same as the selling price of x articles. if the profit is 25 %, what is x?
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[Assistant] 24

[User]
a is two years older than b who is twice as old as c. if the total of the ages of a, b and c be 42, the how old is b?
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[Assistant] 16


[User]
calculate the ratio between x and y if 15 % of x equal to 50 % of y?
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[Assistant] 3 : 10

[User]
if 0.8 of a number is equal to 0.09 of another number, the ratio of the numbers i
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[Assistant] 9 : 80

[User]
the product of 3 consecutive numbers is 210. then the sum of the smallest two numbers is?
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[Assistant] 11

[User]
how many integers between 263,205 and 658,805 have tens digit 1 and units digit 3?
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[Assistant] 3,956

[User]
the diagonals of a rhombus are 11 cm and 20 cm. find its area?
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[Assistant] 110


[User]
a man can row his boat with the stream at 36 km / h and against the stream in 8 km / h. the man's rate is?
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[Assistant] 14 kmph

[User]
ashok secured average of 75 marks in 6 subjects. if the average of marks in 5 subjects is 74, how many marks did he secure in the 6 th subject?
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[Assistant] 80

[User]
a metallic sheet is of rectangular shape with dimensions 48 m x 36 m. from each of its corners, a square is cut off so as to make an open box. if the length of the square is 5 m, the volume of the box ( in m 3 ) is :
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[Assistant] 4940

[User]
if a train, travelling at a speed of 160 kmph, crosses a pole in 18 sec, then the length of train is?
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[Assistant] 800

[User]
a tank is 25 m long 12 m wide and 6 m deep. the cost of plastering its walls and bottom at 45 paise per sq m is
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[Assistant] rs. 334.80


[User]
a man rows his boat 120 km downstream and 60 km upstream, taking 2 hours each time. find the speed of the stream?
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[Assistant] 15

[User]
there are 14 slate rocks, 20 pumice rocks, and 10 granite rocks randomly distributed in a certain field. if 2 rocks are chosen at random and without replacement, what is the probability that both rocks will be slate rocks?
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[Assistant] 91 / 946

[User]
my grandson is about as many days as my son in weeks, and my grandson is as many months as i am in years. my grandson, my son and i together are 150 years. can you tell my son age in years?
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[Assistant] 53 years

[User]
a merchant sells an item at a 20 % discount, but still makes a gross profit of 20 percent of the cost. what percent t of the cost would the gross profit on the item have been if it had been sold without the discount?
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[Assistant] 50 %

[User]
in a race of 1000 m, a can beat by 100 m, in a race of 800 m, b can beat c by 100 m. by how many meters will a beat c in a race of 900 m?
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[Assistant] 191.25 m


[User]
if rs. 7500 are borrowed at c. i at the rate of 4 % per annum, then after 3 years the amount to be paid is?
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[Assistant] 8436

[User]
two friends decide to get together ; so they start riding bikes towards each other. they plan to meet halfway. each is riding at 6 mph. they live 36 miles apart. one of them has a pet carrier pigeon and it starts flying the instant the friends start traveling. the pigeon flies back and forth at 21 mph between the 2 friends until the friends meet. how many miles does the pigeon travel?
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[Assistant] 63

[User]
the sum of number of boys and girls in a school is 400. if the number of boys is x, then the number of girls becomes x % of the total number of students. the number of boys is?
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[Assistant] 80

[User]
a customer bought a product at the shop. however, the shopkeeper increased the price of the product by 15 % so that the customer could not buy the required amount of the product. the customer managed to buy only 60 % of the required amount. what is the difference in the amount of money that the customer paid for the second purchase compared to the first purchase?
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[Assistant] 31 %

[User]
the h. c. f. of two numbers is 12 and their l. c. m. is 600. if one of the number is 30, find the other?
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[Assistant] 240


[User]
if xy = 1, x / y = 36, for positive numbers x and y, y =?
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[Assistant] 1 / 6

[User]
for covering 88 km a wheel revolve 1000 times. what is the radius of wheel?
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[Assistant] 28 m

[User]
a car covers a distance of 642 km in 6 ½ hours. find its speed?
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[Assistant] 107 kmph

[User]
a can complete a certain job in 18 days. b is 80 % more efficient than a. in how many days can b complete the same job?
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[Assistant] 10

[User]
i sold a book at a profit of 12 %. had i sold it for $ 18 more, 18 % would have been gained. find the cost price?
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[Assistant] $ 300


[User]
the speed of a boat in still water is 20 km / hr and the rate of current is 5 km / hr. the distance travelled downstream in 21 minutes is :
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[Assistant] 8.75

[User]
if the price of an article went up by 25 %, then by what percent should it be brought down to bring it back to its original price?
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[Assistant] 20 %

[User]
a retailer buys 40 pens at the market price of 36 pens from a wholesaler, if he sells these pens giving a discount of 1 %, what is the profit %?
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[Assistant] 10

[User]
given a circular wheel of 3.62 m radius how many revolutions will the will make to travel a distance of 1 km?
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[Assistant] 22754.3

[User]
find the least number must be subtracted from 427398 so that remaining no. is divisible by 15?
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[Assistant] 3


[User]
if 15 students in a class average 73 % on an exam and 10 students average 88 % on the same exam, what is the average in percent for all 25 students?
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[Assistant] 79 %

[User]
if the price of a tv is first decreased by 10 % and then increased by 30 %, then the net change in the price will be :
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[Assistant] 17 % increase

[User]
if the true discount on a sum due 2 years hence at 14 % per annum be rs. 168, the sum due is :
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[Assistant] rs. 768

[User]
the difference between the ages of two persons is 30 years. fifteen years ago, the elder one was twice as old as the younger one. the present age of the younger person is?
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[Assistant] 45 yr

[User]
a store owner estimates that the average price of type a products will increase by 20 % next year and that the price of type b products will increase by 11 % next year. this year, the total amount paid for type a products was $ 3500 and the total price paid for type b products was $ 8600. according to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
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[Assistant] $ 13,746


[User]
a soft drink company had 6000 small and 10000 big bottles in storage. if 12 % of small 15 % of big bottles have been sold, then the total bottles remaining in storage is
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[Assistant] 13780

[User]
in a race where 18 cars are running, the chance that car x will win is 1 / 8, that y will win is 1 / 12 and that z will win is 1 / 6. assuming that a dead heat is impossible, find the chance that one of them will win.
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[Assistant] 3 / 8

[User]
what is the sum of the local values of the digits 2, 3, 4, 5 in the number 2345?
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[Assistant] 2345

[User]
54671 - 14456 - 33490 =?
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[Assistant] 6725

[User]
if p and q are positive integers each greater than 1, and 17 ( p + 1 ) = 28 ( q + 1 ), what is the least possible value of p + q?
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[Assistant] 43


[User]
what is the area of square field whose side of length 8 m?
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[Assistant] 64

[User]
a thief is spotted by a policeman from a distance of 225 meters. when the policeman starts the chase, the thief also starts running. if the speed of the thief be 8 km / hr and that of the policeman 10 km / hr, how far the thief will have run before he is overtaken?
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[Assistant] 900 m

[User]
a, b, c can complete a piece of work in 24,6 and 12 days respectively. working together, they will complete the same work in how many days?
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[Assistant] 24 / 7

[User]
mary works 9 hours per day on monday, wednesday and friday, and 5 hours per day on tuesday and thursday. she does not work on saturday and sunday. she earns $ 407 per week. how much does she earn in dollars per hour?
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[Assistant] 11

[User]
when a number is divided by 4 & then multiply by 12 the answer is 9 what is the no.?
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[Assistant] 3


[User]
in a class of 36 students 26 play football and play 20 long tennis, if 17 play above, many play neither?
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[Assistant] 7

[User]
on dividing a number by 56, we get 29 as remainder. on dividing the same number by 8, what will be the remainder?
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[Assistant] 5

[User]
given that p is a positive even integer with a positive units digit, if the units digit of p ^ 3 minus the units digit of p ^ 2 is equal to 0, what is the units digit of p + 2?
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[Assistant] 8

[User]
dan's age after 18 years will be 5 times his age 6 years ago. what is the present age of dan?
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[Assistant] 12

[User]
the end of a blade on an airplane propeller is 10 feet from the center. if the propeller spins at the rate of 1,980 revolutions per second, how many miles will the tip of the blade travel in one minute? ( 1 mile = 5,280 feet )
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[Assistant] 450 π


[User]
a grocery store bought some mangoes at a rate of 5 for a dollar. they were separated into two stacks, one of which was sold at a rate of 3 for a dollar and the other at a rate of 9 for a dollar. what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes?
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[Assistant] 3 : 2

[User]
if 5 % more is gained by selling an article for rs. 420 than by selling it for rs. 380, the cost of the article is?
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[Assistant] 800

[User]
the area of a square is equal to five times the area of a rectangle of dimensions 36 cm * 20 cm. what is the perimeter of the square?
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[Assistant] 240 cm

[User]
each of the 39 points is placed either inside or on the surface of a perfect sphere. if 72 % or fewer of the points touch the surface, what is the maximum number of segments which, if connected from those points to form chords, could be the diameter of the sphere?
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[Assistant] 14

[User]
the proportion of water to alcohol in solution a is 5 : 4 and the proportion of water to alcohol in solution b is 6 : 5. if an equal amount of each solution is mixed together, what is the concentration of alcohol in the new solution?
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[Assistant] 44.9 %


[User]
tough and tricky questions : word problems. a salesman's income consists of commission and base salary. his weekly income totals over the past 5 weeks have been $ 406, $ 413, $ 420, $ 436 and $ 395. what must his average ( arithmetic mean ) income over the next two weeks be to decrease his average weekly income to $ 400 over the 7 - week period?
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[Assistant] $ 365

[User]
a man walks at a rate of 10 mph. after every ten miles, he rests for 6 minutes. how much time does he take to walk 40 miles?
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[Assistant] 258

[User]
a bag contains 3 red, 6 yellow and 8 green balls. 3 balls are drawn randomly. what is the probability that the balls drawn contain balls of different colours?
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[Assistant] 18 / 85

[User]
while working alone at their constant rates, computer x can process 240 files in 12 hours, and computer y can process 240 files in 4 hours. if all files processed by these computers are the same size, how many hours would it take the two computers, working at the same time at their respective constant rates, to process a total of 240 files?
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[Assistant] 3

[User]
let s be the set of all positive integers that, when divided by 8, have a remainder of 5. what is the 72 th number in this set?
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[Assistant] 573


[User]
how many positive integers will divide evenly into 190?
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[Assistant] 8

[User]
solution x is 10 percent alcohol by volume, and solution y is 30 percent alcohol by volume. how many milliliters of solution y must be added to 50 milliliters of solution x to create a solution that is 25 percent alcohol by volume?
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[Assistant] 150

[User]
in a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding question. if the 10 questions on the quiz are worth a total of 400 points, how many points is the third question worth?
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[Assistant] 30

[User]
a pharmaceutical company received $ 5 million in royalties on the first $ 40 million in sales of and then $ 9 million in royalties on the next $ 210 million in sales. by approximately what percentage did the ratio of royalties to sales decrease from the first $ 40 million in sales to the next $ 210 million in sales?
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[Assistant] 66 %

[User]
jane makes toy bears. when she works with an assistant, she makes 80 percent more bears per week and works 20 percent fewer hours each week. having an assistant increases jane ’ s output of toy bears per hour by what percent?
Answer the question using a single word or phrase.

[Assistant] 180 %


[User]
the diameter of a garden roller is 1.4 m and it is 3 m long. how much area will it cover in 5 revolutions? ( use ï € = 22 â  „ 7 )
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[Assistant] 66 m 2

[User]
what will be the fraction of 8 %
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[Assistant] 2 / 25

[User]
shipment - - - no. of defective chips / shipment - - - total chips in shipment s 1 - - - - - - - - - - - - - - - - - - - - - - 2 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 5000 s 2 - - - - - - - - - - - - - - - - - - - - - - 4 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 12000 s 3 - - - - - - - - - - - - - - - - - - - - - - 2 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 15000 s 4 - - - - - - - - - - - - - - - - - - - - - - 4 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 16000 a computer chip manufacturer expects the ratio of the number of defective chips to the total number of chips in all future shipments to equal the corresponding ratio for shipments s 1, s 2, s 3, and s 4 combined, as shown in the table above. what ’ s the expected number of defective chips in a shipment of 60000 chips?
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[Assistant] 15

[User]
3 / 4 of 1 / 2 of 2 / 5 of 5020 =?
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[Assistant] 753

[User]
a train running at a speed of 36 kmph crosses an electric pole in 12 seconds. in how much time will it cross a 360 m long platform?
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[Assistant] 48


[User]
an auto assembly plant performs 6 functions with each frame that arrives : add axles, add wheels to the axles, install the windshield to the frame, install the instrument panel, install the steering wheel, and install the interior seating. once those 6 tasks are performed, each car goes to a separate building for finishing touches. if these tasks can be arranged along a linear assembly line in any order, except that the axles must be installed before the wheels can be added, how many t ways can the assembly line be arranged?
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[Assistant] 360

[User]
three numbers are in the ratio 1 : 4 : 6 and their h. c. f is 9. the numbers are :
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[Assistant] 9, 36,54.

[User]
the average marks of a class of 30 students is 30 and that of another class of 50 students is 60. find the average marks of all the students?
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[Assistant] 48.75

[User]
an urn contains 5 red, 6 blue and 8 green balls. 3 balls are randomly selected from the urn, find the probability that the drawn ball are 2 blue and 1 red?
Answer the question using a single word or phrase.

[Assistant] 25 / 323

[User]
john purchased 1300 large bottles at $ 1.89 per bottle and 750 small bottles at $ 1.38 per bottle. what was the approximate average price paid per bottle?
Answer the question using a single word or phrase.

[Assistant] $ 1.70


[User]
two consultants can type up a report in 12.5 hours and edit it in 7.5 hours. if mary needs 30 hours to type the report and jim needs 12 hours to edit it alone, how many hours q will it take if jim types the report and mary edits it immediately after he is done?
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[Assistant] 41.4

[User]
two men a and b start from place x walking at 4 ½ kmph and 5 ¾ kmph respectively. how many km apart they are at the end of 3 ½ hours if they are walking in the same direction?
Answer the question using a single word or phrase.

[Assistant] 4 3 / 8

[User]
if 2 ^ 4, 3 ^ 3, and 12 ^ 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?
Answer the question using a single word or phrase.

[Assistant] 432

[User]
for all positive integers m and v, the expression m θ v represents the remainder when m is divided by v. what is the value of ( ( 94 θ 33 ) θ 17 ) - ( 96 θ ( 33 θ 17 ) )?
Answer the question using a single word or phrase.

[Assistant] 13

[User]
a sports equipment store sold ping pong rackets for a total of $ 735. if the average ( arithmetic mean ) price of a pair of rackets is $ 9.8, how many pairs were sold?
Answer the question using a single word or phrase.

[Assistant] 75


[User]
john distributes his pencil among his 4 friends rose, mary, ranjan, and rohit in the ratio 1 / 3 : 1 / 3 : 1 / 4 : 1 / 5. what is the minimum no. of pencils that the person should have?
Answer the question using a single word or phrase.

[Assistant] 67

[User]
divide rs. 3250 among a, b and c so that a receives 1 / 5 as much as b and c together and b receives 2 / 3 as a and c together. b's share is?
Answer the question using a single word or phrase.

[Assistant] 1300

[User]
the mean of 50 observations is 200. but later he found that there is decrements of 15 from each observations. what is the the updated mean is?
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[Assistant] 185

[User]
if the perimeter of a rectangular garden is 600 m, its length when its breadth is 150 m is?
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[Assistant] 150 m

[User]
a train 110 m long is running with a speed of 60 km / hr. in what time will it pass a trolley that is running with a speed of 12 km / hr in the direction opposite to that in which the train is going?
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[Assistant] 5.5


[User]
in a certain parallelogram the degree measure of one angle exceeds that of the other by 10 what is the degree measure of the smaller angle?
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[Assistant] 85

[User]
the average of 10 numbers was calculated as 18. it is discovered later on that while calculating the average, one number, namely 66, was incorrectly read as 26. what is the correct average?
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[Assistant] 22

[User]
each child has 5 crayons and 14 apples. if there are 10 children, how many crayons are there in total?
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[Assistant] 50

[User]
what is the area of square field whose side of length 7 m?
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[Assistant] 49

[User]
how many integers between 1 and 1050 are divisible by 10, 25, and 35?
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[Assistant] 3


[User]
78, 64, 48, 30 10, (... )
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[Assistant] - 12 number

[User]
a cycle is bought for rs. 900 and sold for rs. 1440, find the gain percent?
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[Assistant] 60 %

[User]
a and b can finish a work in 7 days and 8 days respectively. if both do work one day and leave one day. and a start the work then in how much days work will finish?
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[Assistant] 52 / 7

[User]
5 pumps, working 9 hours a day, can empty a tank in 3 days. how many hours a day should 6 pumps work in order to empty the tank in 1 day?
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[Assistant] 22.5 hours

[User]
if the average ( arithmetic mean ) of ( 2 a + 16 ) and ( 3 a - 8 ) is 79, what is the value of a?
Answer the question using a single word or phrase.

[Assistant] 30


[User]
we run a business that rents out canoes and kayaks. a canoe rental costs $ 12 per day, and a kayak rental costs $ 18 dollars per day. one day, our business rents out 3 canoes for every 2 kayaks and receives a total of $ 504 in revenue. how many more canoes than kayaks were rented out?
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[Assistant] 7

[User]
the average of runs of a cricket player of 20 innings was 32. how many runs must he make in his next innings so as to increase his average of runs by 4?
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[Assistant] 116

[User]
a cube with its sides numbered 1 through 6 is rolled twice, first landing on a and then landing on b. if any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6, what is the probability r that a + b is prime?
Answer the question using a single word or phrase.

[Assistant] 5 / 12

[User]
a and b started a business in partnership investing rs. 20,000 and rs. 15,000 respectively. after 6 months, c joined them with rs. 20,000. whatwill be b's share in total profit of rs. 22,000 earned at the end of 2 years from the startingof the business?
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[Assistant] s. 6,600

[User]
find the value for x from below equation : x / 3 = - 6?
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[Assistant] - 18


[User]
x can do a piece of work in 8 hours. y and z together can do it in 6 hours, while x and z together can do it in 4 hours. how long will y alone take to do it?
Answer the question using a single word or phrase.

[Assistant] 24 hours

[User]
a, b and c invested rs. 6300, rs. 4200 and rs. 10500 respectively, in a partnership business. find the share of a in profit of rs. 13000 after a year?
Answer the question using a single word or phrase.

[Assistant] 3900

[User]
if two students starting from same point, walking in the opposite directions with 6 km / hr and 9 km / hr as average speeds respectively. then the distance between them after 4 hours is?
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[Assistant] 60 km

[User]
dacid obtained 51, 65, 82, 67 and 85 marks ( out of 100 ) in english, mathematics, physics, chemistry and biology. what are his average marks?
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[Assistant] 70

[User]
in a mixture of 45 litres the ratio of milk to water is 4 : 1. additional 23 litres of water is added to the mixture. find the ratio of milk to water in the resulting mixture.
Answer the question using a single word or phrase.

[Assistant] 9 / 8


[User]
70 percent of the members of a study group are women, and 40 percent of those women are lawyers. if one member of the study group is to be selected at random, what is the probability that the member selected is a woman lawyer?
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[Assistant] 0.28

[User]
if two integers x, y ( x > y ) are selected from - 5 to 5 ( inclusive ), how many cases are there?
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[Assistant] 55

[User]
if x and y are positive integers and 5 + x + y + xy = 19, what is the value of x + y?
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[Assistant] 6

[User]
the cost price of a radio is rs. 1500 and it was sold for rs. 1260, find the loss %?
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[Assistant] 16

[User]
find the area of a cuboid of length 12 cm, breadth 6 cm. and height 10 cm.
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[Assistant] 720 cm cube


[User]
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. 1900. the difference between the profit shares of a and c is?
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[Assistant] 760

[User]
what percent is 520 gm of 1 kg?
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[Assistant] 52 %

[User]
machine a can finish a job in 6 hours, machine в can finish the job in 12 hours, and machine с can finish the job in 8 hours. how many hours will it take for a, b, and с together to finish the job?
Answer the question using a single word or phrase.

[Assistant] 8 / 3

[User]
the total marks obtained by a student in physics, chemistry and mathematics is 150 more than the marks obtained by him in physics. what is the average mark obtained by him in chemistry and mathematics?
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[Assistant] 75

[User]
a man buys a cycle for rs. 1400 and sells it at a loss of 18 %. what is the selling price of the cycle?
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[Assistant] rs. 1148


[User]
at a contest with 3000 participants, 1 / 2 of the people are aged 8 to 14. next year, the number of people aged 8 to 14 will increase by 1 / 6. after this change, what percentage of the total 3000 people will the 8 - to 14 - year - olds represent?
Answer the question using a single word or phrase.

[Assistant] 58.33 %

[User]
if henry were to add 7 gallons of water to a tank that is already 3 / 4 full of water, the tank would be 7 / 8 full. how many gallons of water would the tank hold if it were full?
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[Assistant] 56

[User]
the average weight of 16 boys in a class is 50.25 kgs and that of the remaining 8 boys is 45.15 kgs. find the average weight of all the boys in the class.
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[Assistant] 48.55 kgs

[User]
of the 150 employees at company x, 50 are full - time, and 100 have worked at company x for at least a year. there are 20 employees at company x who aren ’ t full - time and haven ’ t worked at company x for at least a year. how many full - time employees of company x have worked at the company for at least a year?
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[Assistant] 20

[User]
solution x is 40 % chemical a and 60 % chemical b by volume. solution y is 50 % chemical a and 50 % chemical b by volume. if a mixture of x and y is 47 % chemical a, what percent of the mixture is solution x?
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[Assistant] 30 %


[User]
a pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer ’ s suggested retail price. if during a sale, the store discounts an additional 20 percent from the discount price, what would be the lowest possible price of a container of pet food that had a manufacturer ’ s suggested retail price o f $ 30.00?
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[Assistant] $ 16.80

[User]
the simple interest on a sum of money will be rs. 500 after 10 years. if the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
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[Assistant] 900

[User]
16 meters of wire is available to fence off a flower bed in the form of a circular sector. what must the radius of the circle in meters be, if we wish to have a flower bed with the greatest possible surface area?
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[Assistant] 4

[User]
amar takes as much time in running 21 meters as a car takes in covering 54 meters. what will be the distance covered by amar during the time the car covers 1.8 km?
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[Assistant] 700 m

[User]
an alloy weighing 16 ounces is 50 % gold. how many ounces of pure gold must be added to create an alloy that is 80 % gold?
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[Assistant] 24


[User]
the tax on a commodity is diminished by 22 % and its consumption increased by 11 %. the effect on revenue is?
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[Assistant] 2

[User]
if an integer n is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that n ( n + 1 ) ( n + 2 ) will be divisible by 16?
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[Assistant] 9 / 16

[User]
there was two trains from calcutta to kanyakumari one train is fast service travels with a speed 75 km per hour another travels with a speed of 44 km per hour the time taken to reach from calcutta to kanyakumari is 4 hours less than the first train... find the distance b / w calcatta to kanyakumari
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[Assistant] 425.8 km

[User]
in a group of 10 doctors, 3 doctors are only pediatricians ; the others are surgeons or general practitioners - but not both. a team of 3 doctors is to be chosen which must have at least 1 pediatrician, how many different teams can be chosen?
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[Assistant] 85

[User]
if the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. find the perimeter of the original rectangle?
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[Assistant] 50


[User]
a football player scores 4 goals in his fifth match thus increasing his average goals score by 0.2. the total number of goals in his 5 matches would be
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[Assistant] 16

[User]
the unit digit in the product 784 * 618 * 917 * 463 is?
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[Assistant] 2

[User]
how many liters of a 40 % iodine solution need to be mixed with 35 liters of a 20 % iodine solution to create a 35 % iodine solution?
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[Assistant] 105

[User]
if 8 men do a work in 80 days, in how many days will 20 men do it?
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[Assistant] 32 days

[User]
in 2008, the profits of company n were 10 percent of revenues. in 2009, the revenues of company n fell by 20 percent, but profits were 18 percent of revenues. the profits in 2009 were what percent of the profits in 2008?
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[Assistant] 144 %


[User]
a courtyard is 30 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?
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[Assistant] 24000

[User]
what is the smallest positive integer that leaves a remainder of 1 when divided by 2, remainder of 2 when divided by 3, a remainder of 3 when divided by 4, and a remainder of 9 when divided by 10?
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[Assistant] 59

[User]
find the fraction which has the same ratio to 2 / 6 that 3 / 4 has to 1 / 2
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[Assistant] 1 / 2

[User]
if 13 lions can kill 13 deers in 13 minutes how long will it take 100 lions to kill 100 deers?
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[Assistant] 13 minute

[User]
if bill can buy 3 pairs of jeans and 2 shirts for $ 69 or 2 pairs of jeans and 3 shirts for $ 66, how much does one shirt cost?
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[Assistant] $ 12


[User]
each day a man meets his wife at the train station after work, and then she drives him home. she always arrives exactly on time to pick him up. one day he catches an earlier train and arrives at the station an hour early. he immediately begins walking home along the same route the wife drives. eventually his wife sees him on her way to the station and drives him the rest of the way home. when they arrive home the man notices that they arrived 30 minutes earlier than usual. how much time did the man spend walking?
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[Assistant] 45 minutes

[User]
the speed of a car is 145 km in the first hour and 60 km in the second hour. what is the average speed of the car?
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[Assistant] 102.5 kmph

[User]
the greatest number which on dividing 1657 and 2037 leaves remainders 10 and 7 respectively, is :
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[Assistant] 1

[User]
a grocer has 400 pounds of coffee in stock, 40 percent of which is decaffeinated. if the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated, what percent, by weight, of the grocer ’ s stock of coffee is decaffeinated?
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[Assistant] 44 %

[User]
if @ is a binary operation defined as the difference between an integer n and the product of n and 5, then what is the largest positive integer n such that the outcome of the binary operation of n is less than 21?
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[Assistant] 5


[User]
each factor of 290 is inscribed on its own plastic ball, and all of the balls are placed in a jar. if a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 42?
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[Assistant] 16

[User]
the average runs of a cricket player of 13 innings was 22. how many runs must he make in his next innings so as to increase his average of runs by 5?
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[Assistant] 92

[User]
the ratio between the length and the breadth of a rectangular park is 3 : 2. if a man cycling alongthe boundary ofthe park at the speed of 12 km / hr completes one round in 8 min, then the area of the park ( in sq. m ) is?
Answer the question using a single word or phrase.

[Assistant] 153600 m

[User]
in a certain candy store, 22 % of the customers are caught sampling the candy and are charged a small fine, but 20 % of the customers who sample the candy are not caught. what is the total percent of all customers who sample candy?
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[Assistant] 27.5 %

[User]
if the selling price of 50 articles is equal to the cost price of 40 articles, then the loss or gain percent is?
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[Assistant] 20 %


[User]
3 students appear at an examination of mathematics. the probability of their success are 1 / 2, 1 / 4, 1 / 5 respectively. find the probability of success of at least two.
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[Assistant] 9 / 40

[User]
if a / b = 1 / 3, b / c = 2, c / d = 1 / 2, d / e = 3 and e / f = 1 / 2, then what is the value of abc / def?
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[Assistant] 3 / 4

[User]
a train leaves delhi at 9 a. m. at a speed of 30 kmph. another train leaves at 2 p. m. at a speed of 42 kmph on the same day and in the same direction. how far from delhi, will the two trains meet?
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[Assistant] 787.5

[User]
a man performs 1 / 2 of the total journey by rail, 1 / 3 by bus and the remaining 2 km on foot. his total journey is
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[Assistant] 12 km

[User]
the average of 7 consecutive numbers is 33. the highest of these numbers is :
Answer the question using a single word or phrase.

[Assistant] 36


[User]
in a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1 / 6. for a group of 200 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
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[Assistant] 116

[User]
find the circumference of radius 7 cm.
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[Assistant] 44

[User]
in what time will a train 50 m long cross an electric pole, it its speed be 144 km / hr?
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[Assistant] 1.25 sec

[User]
a “ sophie germain ” prime is any positive prime number p for which 2 p + 1 is also prime. the product of all the possible units digits of sophie germain primes greater than 3 is
Answer the question using a single word or phrase.

[Assistant] 189

[User]
a number x is multiplied by 5, and this product is then divided by 7. if the positive square root of the result of these two operations equals x, what is the value of x if x ≠ 0?
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[Assistant] 5 / 7


[User]
how many seconds will a train 100 meters long take to cross a bridge 160 meters long if the speed of the train is 36 kmph?
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[Assistant] 26

[User]
at a bank, the service charges for transactions were us dollar 1 for every 5 transactions. the bank recently revised the charges to us dollar 0.75 for every 3 transactions. by approximately what percent did the ratio of price to transactions increase from the previous charge?
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[Assistant] 25

[User]
convert 800 miles into meters?
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[Assistant] 1287472

[User]
nil and ethan are brothers. they left their home at the same time and drove to the same beach. nil drove at a speed of 80 miles per hour. ethan drove at a speed of 20 miles per hour. nil arrived at the beach 0.5 hour earlier than ethan. what is the distance between their home and the beach?
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[Assistant] 80 miles

[User]
if m = 3 ^ n, what is the greatest value of n for which m is a factor of 19!
Answer the question using a single word or phrase.

[Assistant] 8


[User]
a reduction of 15 % in the price of oil enables a house wife to obtain 4 kgs more for rs. 1200, what is the reduced price for kg?
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[Assistant] 45

[User]
x, y, and z are different prime numbers. the product x ^ 2 * y ^ 2 * z is divisible by how many different positive numbers?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
a car travels from point a to point b. the average speed of the car is 60 km / hr and it travels the first half of the trip at a speed of 48 km / hr. what is the speed of the car in the second half of the trip?
Answer the question using a single word or phrase.

[Assistant] 80

[User]
a soccer store typically sells replica jerseys at a discount of 60 percent to 50 percent off list price. during the annual summer sale, everything in the store is an additional 20 percent off the original list price. if a replica jersey's list price is $ 80, approximately what percent of the list price is the lowest possible sale price?
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[Assistant] 50

[User]
how many real solutions does the equation x 5 + 2 x 3 + 8 x 2 + 16 = 0 have?
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[Assistant] 1


[User]
a man is 20 years older than his son. in two years, his age will be twice the age of his son. what is the present age of his son?
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[Assistant] 18 years

[User]
a man can row downstream at the rate of 10 km / hr and upstream at 6 km / hr. find man's rate in still water and the rate of current?
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[Assistant] 8,2

[User]
in a can, there is a mixture of milk and water in the ratio 8 : 5. if it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 12 : 5. find the capacity of the can?
Answer the question using a single word or phrase.

[Assistant] 18.4

[User]
matt and peter can do together a piece of work in 20 days. after they have worked together for 12 days matt stops and peter completes the remaining work in 8 days. in how many days peter complete the work separately.
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[Assistant] 20

[User]
if 40 % of a number exceeds 25 % of it by 18, then find the number?
Answer the question using a single word or phrase.

[Assistant] 120


[User]
jack rode his bicycle at an average speed of 5 mph for some time and then at an average speed of 15 mph for the rest of the journey. if he made no stops during the trip, and his average speed for the entire journey was 10 miles per hour, for what fraction of the total time did he ride at 15 mph?
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[Assistant] 1 / 2

[User]
of the female students at barkely university, 1 / 6 are on the honor roll. of the male students, 2 / 5 are on the honor roll. if 3 / 5 of the students are female, what is ratio of male to female students on honor roll?
Answer the question using a single word or phrase.

[Assistant] 8 / 5

[User]
if ( 18 ^ a ) * 9 ^ ( 3 a – 1 ) = ( 2 ^ 7 ) ( 3 ^ b ) and a and b are positive integers, what is the value of a?
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[Assistant] 7

[User]
the average weight of 8 people increases by 2.5 kg when a new person comes in place of one of them weighing 85 kg. what is the weight of the new person?
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[Assistant] 105 kg

[User]
if it takes a tub 6 minutes to drain 5 / 7 of its content, how much more time will it take for the tub to be empty?
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[Assistant] 2 minutes, 24 seconds


[User]
the compound ratio of 5 : 6, 5 : 2 and 4 : 5?
Answer the question using a single word or phrase.

[Assistant] 5 : 3

[User]
for a certain exam, a score of 42 was 5 standard deviations below mean and a score of 67 was 2.5 standard deviations above mean. what was the mean score for the exam?
Answer the question using a single word or phrase.

[Assistant] 58.67

[User]
how many integers between 1 and 1,050 are divisible by 10, 25, and 35?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
a cistern 4 meters long and 4 meters wide contains water up to a depth of 1 meter 25 cm. what is the total area of the wet surface?
Answer the question using a single word or phrase.

[Assistant] 36

[User]
an engineer designed a ball so that when it was dropped, it rose with each bounce exactly one - half as high as it had fallen. the engineer dropped the ball from a 16 - meter platform and caught it after it had traveled 32.5 meters. how many times did the ball bounce?
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[Assistant] 2


[User]
a factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, 20 balls per box. if 146 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
each month, after jill pays for rent, utilities, food, and other necessary expenses, she has one fifth of her net monthly salary left as discretionary income. of this discretionary income, she puts 30 % into a vacation fund, 20 % into savings, and spends 35 % on eating out and socializing. this leaves her with $ 111 dollar, which she typically uses for gifts and charitable causes. what is jill ’ s net monthly salary?
Answer the question using a single word or phrase.

[Assistant] $ 3700

[User]
two pipes p and q can fill a cistern in 12 and 15 minutes respectively. both are opened together, but at the end of 4 minutes the first is turned off. how many more minutes will it take for the cistern to fill after the first pipe is turned off?
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[Assistant] 6

[User]
the edge of a cube is 5 a cm. find its surface?
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[Assistant] 150 a 2 cm 2

[User]
15 lts are taken of from a container full of liquid a and replaced with liquid b. again 15 more lts of the mixture is taken and replaced with liquid b. after this process, if the container contains liquid a and b in the ratio 9 : 16, what is the capacity of the container q?
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[Assistant] c : 37.5


[User]
a retailer buys a radio for rs 225. his overhead expenses are rs 28. he sellis the radio for rs 300. the profit percent of the retailer is
Answer the question using a single word or phrase.

[Assistant] 18.5 %

[User]
mr. hernandez, who was a resident of state x for only 10 months last year, had a taxable income of $ 22,500 for the year. if the state tax rate were 4 percent of the year ’ s taxable income prorated for the proportion of the year during which the taxpayer was a resident, what would be the amount of mr. hernandez ’ s state x tax for last year?
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[Assistant] $ 750

[User]
the cost price of 12 articles is equal to the selling price of 8 articles. what is the profit percent?
Answer the question using a single word or phrase.

[Assistant] 50 %

[User]
in a certain lottery, the probability that a number between 12 and 20, inclusive, is drawn is 1 / 5. if the probability that a number 12 or larger is drawn is 2 / 3, what is the probability that a number less than or equal to 20 is drawn?
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[Assistant] 8 / 15

[User]
7 / 9 of 3 / 5 of a number is greater than 2 / 9 of 5 / 6 of the same number by 152. what is half of that number?
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[Assistant] 270


[User]
the smallest number which when diminished by 3 is divisible by 21, 2836 and 45 is...
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[Assistant] 427

[User]
if 45 % of z is 96 % of y and y is 75 % of x, what percent of x is z?
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[Assistant] 160

[User]
the area of a triangle is with base 4.5 m and height 6 m?
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[Assistant] 13.5 m 2

[User]
if ( 5 ^ 15 ) ( 9 ^ 8 ) = 3 ( 15 ^ x ), what is the value of x?
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[Assistant] 15

[User]
a sum of money at simple interest amounts to rs. 825 in 3 years and to rs. 830 in 4 years. the sum is?
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[Assistant] s. 810


[User]
at a particular graduation party with 300 guests, 70 % of the guests brought gifts, and 40 % of the female guests brought gifts. if 45 males did not bring gifts to the party, how many females did bring gifts?
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[Assistant] 30

[User]
after playing 40 games, the lesley basketball team had won 50 % of the games. the additional games played gave the team a 20 % total winning average. how many additional games must the team have won to obtain this average?
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[Assistant] 15

[User]
( x ) + 9088 + 1090 - 9156 = 19845. calculate the value of x
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[Assistant] 18823

[User]
a and b invests rs. 8000 and rs. 15000 in a business. after 4 months, a withdraws half of his capital and 2 months later, b withdraws one - third of his capital. in what ratio should they share the profits at the end of the year?
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[Assistant] 32 : 75

[User]
the market value of a certain machine decreased by 15 percent of its purchase price each year. if the machine was purchased in 1982 for its market value of $ 8,000, what was its market value two years later?
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[Assistant] $ 5,600


[User]
a water tank is four - fifths full. pipe a can fill a tank in 10 minutes and pipe b can empty it in 6 minutes. if both the pipes are open, how many minutes will it take to empty or fill the tank completely?
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[Assistant] 12

[User]
a doctor prescribed 12 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. if the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage lesser than the typical dosage?
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[Assistant] - 25 %

[User]
mr. smith calculated the average of 10 3 digit numbers. but due to a mistake he reversed the digits of a number and thus his average increased by 19.8 the difference between the unit digit and hundreds digit of that number is :
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[Assistant] 2

[User]
a certain family has 3 sons : richard is 6 years older than david, and david is 8 years older than scott. if in 8 years, richard will be twice as old as scott, then how old was david 4 years ago?
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[Assistant] 10

[User]
cubes with each side one inch long are glued together to form a larger cube. the larger cube's face is painted with red color and the entire assembly is taken apart. 24 small cubes are found with no paints on them. how many of unit cubes have at least one face that is painted red?
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[Assistant] 101


[User]
in a certain pond, 30 fish were caught, tagged, and returned to the pond. a few days later, 50 fish were caught again, of which 2 were found to have been tagged. if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
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[Assistant] 750

[User]
in an examination, there are 100 questions divided into 3 groups a, b and c such that each group contains at least one question. each question in group a carries 1 mark, each question in group b carries 2 marks and each question in group c carries 3 marks. it is known that the questions in group a together carry at least 60 % of the total marks. if group b contains 23 questions, then how many questions are there in group c?
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[Assistant] 1

[User]
897.7 – 573.07 – 95.007 =?
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[Assistant] 229.623

[User]
78, 64, 48, 30, 10, (... )
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[Assistant] - 12 number

[User]
a and b finish the job in 15 days. while a, b and c can finish it in 5 days. c alone will finish the job in
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[Assistant] 7.5 days


[User]
working together at their respective constant rates, machine a and machine b can produce 1,500 units in 8 hours. working alone, machine b would complete that same output in 50 % more time. if machine a were to work on its own for an 8 - hour shift, what percent of the 1,500 unit total would it produce?
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[Assistant] 30

[User]
at a local appliance manufacturing facility, the workers received a 30 % hourly pay raise due to extraordinary performance. if one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?
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[Assistant] 23 %

[User]
calculate how many days it will take for 7 boys to wash a 35 m long wall if 5 boys can wash a 25 m long wall in 4 days,
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[Assistant] 4 days

[User]
how many diagonals does a 61 - sided convex polygon have?
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[Assistant] 1769

[User]
balls of equal size are arranged in rows to form an equilateral triangle. the top most row consists of one ball, the 2 nd row of two balls and so on. if 253 balls are added, then all the balls can be arranged in the shape of square and each of the sides of the square contain 8 balls less than the each side of the triangle did. how many balls made up the triangle?
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[Assistant] 903


[User]
a new home buyer pays 4 % annual interest on her first mortgage and 9 % annual interest on her second mortgage. if she borrowed a total of $ 310,000, 80 % of which was in the first mortgage, what is her approximate monthly interest payment?
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[Assistant] $ 1,292

[User]
what is ( 16 ^ 7 + 16 ) / 16?
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[Assistant] 16777217

[User]
if the sum of a number and its square is 240, what is the number?
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[Assistant] 15

[User]
youseff lives x blocks from his office. it takes him 1 minute per block to walk to work and 20 seconds per block to ride his bike to work. it is takes him exactly 6 minutes more to walk to work than to ride his bike to work, then x equals?
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[Assistant] 9

[User]
two family reunions are happening at the leela hotel, the oates reunion and the hall reunion. all 100 guests at the hotel attend at least one of the reunions. if 50 people attend the oates reunion and 62 people attend the hall reunion, how many people attend both reunions?
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[Assistant] 12


[User]
ashok and pyarelal invested money together in a business and share a capital of ashok is 1 / 9 of that of pyarelal. if the incur a loss of rs 1600 then loss of pyarelal?
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[Assistant] 1440

[User]
following an increase in prices, the price of a candy box was 10 pounds and the price of a can of soda was 9 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?
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[Assistant] 14.

[User]
in a factory, an average of 65 tv's are produced per day for the fist 25 days of the months. a few workers fell ill for the next 5 days reducing the daily avg for the month to 60 sets / day. the average production per day for day last 5 days is?
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[Assistant] 35

[User]
how many integers k greater than 100 and less than 1000 are there such that if the hundreds and the unit digits of k are reversed, the resulting integer is k + 99?
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[Assistant] 80

[User]
if 225 / 999 = 0.225, what is the 81 st digit to the right of the decimal point in the decimal equivalent of the fraction?
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[Assistant] 5


[User]
if the numerator of a fraction is increased by 20 % and its denominator is diminished by 25 % value of the fraction is 2 / 15. find the original fraction.
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[Assistant] 1 / 12

[User]
. 007 /? =. 01
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[Assistant] . 7

[User]
jerry went to a shop and bought things worth rs. 30, out of which 30 % went on sales tax on taxable purchases. if the tax rate was 6 %, then what was the cost of the tax free items?
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[Assistant] 24.7

[User]
a train 250 m long is running at a speed of 27 km / hr. in what time will it pass a bridge 200 m long?
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[Assistant] 60

[User]
how many different ways can 2 students be seated in a row of 6 desks, so that there is always at least one empty desk between the students?
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[Assistant] 20


[User]
if 75 percent of a class answered the first question on a certain test correctly, 35 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
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[Assistant] 30 %

[User]
fresh grapes contain 90 % by weight while dried grapes contain 20 % water by weight. what is the weight of dry grapes available from 30 kg of fresh grapes?
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[Assistant] 3.75 kg

[User]
what least number must be added to 1056, so that the sum is completely divisible by 23?
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[Assistant] 2

[User]
4! / ( 4 - 3 )! =?
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[Assistant] 24

[User]
natasha climbs up a hill, and descends along the same way she went up. it takes her 4 hours to reach the top and 2 hours to come back down. if her average speed along the whole journey is 1.5 kilometers per hour, what was her average speed ( in kilometers per hour ) while climbing to the top?
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[Assistant] 1.125