[User]
how many positive integers less than 25 are prime numbers, odd multiples of 5, or the sum of a positive multiple of 2 and a positive multiple of 4?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
in the first 10 overs of a cricket game, the run rate was only 3.2. what should be the rate in the remaining 40 overs to reach the target of 282 runs?
Answer the question using a single word or phrase.

[Assistant] 6.25

[User]
company m produces two kinds of stereos : basic and deluxe. of the stereos produced by company m last month, 2 / 3 were basic and the rest were deluxe. if it takes 7 / 5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?
Answer the question using a single word or phrase.

[Assistant] 7 / 22

[User]
rectangular tile each of size 80 cm by 40 cm must be laid horizontally on a rectangular floor of size 130 cm by 230 cm, such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. a tile can be placed in any orientation so long as its edges are parallel to the edges of floor. no tile should overshoot any edge of the floor. the maximum number of tiles that can be accommodated on the floor is :
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[Assistant] 9

[User]
find large number from below question the difference of two numbers is 1395. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
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[Assistant] 1671


[User]
find the principle on a certain sum of money at 5 % per annum for 3 1 / 5 years if the amount being rs. 1740?
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[Assistant] rs. 1500

[User]
the average of temperatures at noontime from monday to friday is 50 ; the lowest one is 45, what is the possible maximum range of the temperatures?
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[Assistant] 25

[User]
a grocer has a sale of rs. 800, rs. 900, rs. 1000, rs. 700 and rs. 800 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs. 850?
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[Assistant] s. 900

[User]
two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 18 kmph respectively. when they meet, it is found that one train has traveled 60 km more than the other one. the distance between the two stations is?
Answer the question using a single word or phrase.

[Assistant] 408

[User]
a can finish a piece of work in 5 days. b can do it in 16 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] 6


[User]
what is the greatest positive integer n such that 3 ^ n is a factor of 54 ^ 100?
Answer the question using a single word or phrase.

[Assistant] 300

[User]
when a random experiment is conducted, the probability that event a occurs is 1 / 5. if the random experiment is conducted 5 independent times, what is the probability that event a occurs exactly twice?
Answer the question using a single word or phrase.

[Assistant] 128 / 625

[User]
in a lake, there is a patch of lily pads. every day, the patch doubles in size. if it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half of the lake?
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[Assistant] 47

[User]
the least common multiple of positive integer d and 3 - digit integer n is 690. if n is not divisible by 3 and d is not divisible by 2, what is the value of n?
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[Assistant] 230

[User]
in a renowned city, the average birth rate is 7 people every two seconds and the death rate is 3 people every two seconds. estimate the size of the population net increase that occurs in one day.
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[Assistant] 172,800


[User]
two trains of equal are running on parallel lines in the same direction at 46 km / hr and 36 km / hr. the faster train passes the slower train in 54 sec. the length of each train is?
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[Assistant] 75

[User]
a number is doubled and 8 is added. if the resultant is trebled, it becomes 84. what is that number?
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[Assistant] 10

[User]
a train 100 m in length crosses a telegraph post in 12 seconds. the speed of the train is?
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[Assistant] 30 kmph

[User]
50 liters of a mixture contains milk and water in the ratio 3 : 2. if 5 liters of this mixture be replaced by 5 liters of milk, the ratio of milk to water in the new mixture would be?
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[Assistant] 7 : 4

[User]
the area of a square garden is q square feet and the perimeter is p feet. if q = 2 p + 48, what is the perimeter of the garden in feet?
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[Assistant] 48


[User]
the average of 10 numbers is calculated as 5. it is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. the correct average is?
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[Assistant] 6

[User]
if ( 10 ^ 4 * 3.456789 ) ^ 14 is written as a single term, how many digits would be to the right of the decimal place?
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[Assistant] 28

[User]
find the compound ratio of ( 2 : 3 ), ( 6 : 11 ) and ( 11 : 5 ) is
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[Assistant] 4 : 5

[User]
how many digits are required to write numbers between 1 to 100.
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[Assistant] 192

[User]
a, b, c can complete a piece of work in 16, 6,12 days. working together, they complete the same work in how many days?
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[Assistant] 48 / 15


[User]
the population of a bacteria culture doubles every 2 minutes. approximately how many minutes will it take for the population to grow from 1,000 to 100,000 bacteria
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[Assistant] 14

[User]
certain stocks in january were 10 % less than they were in february and 20 % greater than they were in march. what was the percentage decrease in the stocks from february to march?
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[Assistant] 25 %

[User]
to asphalt 1 km road, 30 men spent 12 days working 8 hours per day. how many days, 20 men will spend to asphalt a road of 2 km working 15 hours a day?
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[Assistant] 19.2

[User]
a scuba diver descends at a rate of 80 feet per minute. a diver dive from a ship to search for a lost ship at the depth of 4000 feet below the sea level.. how long will he take to reach the ship?
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[Assistant] 50 minutes

[User]
the roof of an apartment building is rectangular and its length is 4 times longer than its width. if the area of the roof is 784 feet squared, what is the difference between the length and the width of the roof?
Answer the question using a single word or phrase.

[Assistant] 42.


[User]
two water pumps, working simultaneously at their respective constant rates, took exactly 5 hours to fill a certain swimming pool. if the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the slower pump to fill the pool if it had worked alone at its constant rate?
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[Assistant] 12.5

[User]
a certain box has 8 cards and each card has one of the integers from 1 to 8 inclusive. each card has a different number. if 2 different cards are selected at random, what is the probability that the sum of the numbers written on the 2 cards is less than the average ( arithmetic mean ) of all the numbers written on the 8 cards?
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[Assistant] 1 / 14

[User]
a positive number x is multiplied by 4, and this product is then divided by 3. if the positive square root of the result of these two operations equals x, what is the value of x?
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[Assistant] 4 / 3

[User]
a survey of n people in the town of eros found that 50 % of them preferred brand a. another survey of 100 people in the town of angie found that 60 % preferred brand a. in total, 55 % of all the people surveyed together preferred brand a. what is the total number of people surveyed?
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[Assistant] 200

[User]
a 270 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds. what is the lenght of other train.
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[Assistant] 230 m


[User]
car z travels 51 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour, but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour. how many miles does car z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour?
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[Assistant] 408

[User]
at what rate percent on simple interest will rs. 1800 amount to rs. 2000 in 5 years?
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[Assistant] 3.47 %

[User]
what is 0.02 percent of 12,356?
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[Assistant] 2.47

[User]
of 45 applicants for a job, 21 had at least 4 years'experience, 27 had degrees, and 5 had less than 4 years'experience and did not have a degree. how many of the applicants had at least 4 years'experience and a degree?
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[Assistant] 8

[User]
12,21, 48,87, __
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[Assistant] 186


[User]
a man rows his boat 90 km downstream and 5 ` km upstream, taking 3 hours each time. find the speed of the stream?
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[Assistant] 7 kmph

[User]
because he ’ s taxed by his home planet, mork pays a tax rate of 45 % on his income, while mindy pays a rate of only 25 % on hers. if mindy earned 4 times as much as mork did, what was their combined tax rate?
Answer the question using a single word or phrase.

[Assistant] 29 %

[User]
reema took a loan of rs 1100 with simple interest for as many years as the rate of interest. if she paid rs. 704 as interest at the end of the loan period, what was the rate of interest.
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[Assistant] 8 %

[User]
how many positive integers less than 300 can be formed using the numbers 1, 2, 3 a for the digits?
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[Assistant] 30

[User]
in a company, 52 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?
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[Assistant] 75 %


[User]
how long does a lorry 200 m long traveling at 80 kmph takes to cross a bridge of 200 m in length?
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[Assistant] 18

[User]
pradeep has to obtain 20 % of the total marks to pass. he got 160 marks and failed by 25 marks. the maximum marks are
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[Assistant] 925

[User]
1480 men have provisions for 14 days. if 460 more men join them, for how many days will the provisions last now?
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[Assistant] 9.9

[User]
what is the difference between the c. i. on rs. 5000 for 1 1 / 2 years at 4 % per annum compounded yearly and half - yearly?
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[Assistant] rs. 2.04

[User]
the sum of three consecutive even numbers multiples of 3 is 72. what is the largest number?
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[Assistant] 27


[User]
a person can row at 10 kmph in still water. if the velocity of the current is 2 kmph and it takes him 30 hour to row to a place and come back, how far is the place?
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[Assistant] 144 km

[User]
mike drives his new corvette from san francisco to las vegas, a journey of 640 miles. he drives the first half of the trip at an average rate of 80 miles per hour, but has to slow down for the second half of his journey. if the second half of the trip takes him 200 percent longer than the first half, what is his average rate q in miles per hour for the entire trip?
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[Assistant] q = 40.0

[User]
6 friends went to a hotel and decided to pay the bill amount equally. but 5 of them could pay rs. 100 each as a result 6 th has to pay rs. 100 extra than his share. find the amount paid by him.
Answer the question using a single word or phrase.

[Assistant] 220

[User]
the h. c. f and l. c. m of two numbers are 84 and 21 respectively. if the ratio of the two numbers is 1 : 4, then the larger of the two numbers is :
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[Assistant] 84

[User]
15.06 * 0.00000001 =?
Answer the question using a single word or phrase.

[Assistant] 1.506 e - 07


[User]
evaluate 28 % of 450 + 45 % of 240
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[Assistant] 234

[User]
a straight line in the xy - plane has y - intercept of 12 and a slope of 4 / 7. given the x - coordinate of the point is 49, find it's y - coordinate.
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[Assistant] 28

[User]
if 50 % of 3 / 5 of a number is 36, then the number is?
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[Assistant] 120

[User]
a dog breeder currently has 9 breeding dogs. 6 of the dogs have exactly 1 littermate, and 3 of the dogs have exactly 2 littermates. if 2 dogs are selected at random, what is the probability t that both selected dogs are not littermates?
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[Assistant] 5 / 6

[User]
the manufacturing cost of a shoe is rs. 180 and the transportation lost is rs. 500 for 100 shoes. what will be the selling price if it is sold at 20 % gains
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[Assistant] rs 222


[User]
a shirt goes on sale for 80 % of its original price. one week later, the sale price is marked down 20 %. the final price is what percent of the original price?
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[Assistant] 64 %

[User]
in a factory, there are 30 % technicians and 70 % non - technicians. if the 30 % of the technicians and 70 % of non - technicians are permanent employees, then the percentage of workers who are temporary is?
Answer the question using a single word or phrase.

[Assistant] 48 %

[User]
to asphalt 1 km road, 30 men spent 12 days working 8 hours per day. how many days, 20 men will spend to asphalt a road of 2 km working 14 hours a day?
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[Assistant] 20.57

[User]
if a * b = 2 a – 3 b + ab, then 3 * 5 + 5 * 3 is equal to :
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[Assistant] 22

[User]
average temperature of first 4 days of a week is 6 ° c and that of the last 4 days is 40.3 ° c. if the average temperature of the week be 39.1 ° c, the temperature on 4 th day is?
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[Assistant] 41.9 ° c


[User]
what annual installment will discharge a debt of rs. 4600 due in 4 years at 10 % simple interest?
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[Assistant] 1000

[User]
a certain car's price decreased by 2.5 % ( from the original price ) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased car's price by $ 3,000. if the price of the car in 1996 was $ 22,000, what is the car's price in 2002?
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[Assistant] $ 21,700

[User]
there are 18 teams in the hockey league, and each team faces all the other teams 10 times each. how many games are played in the season?
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[Assistant] 1530

[User]
how many multiples of 9 are there between 1 and 50, exclusive?
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[Assistant] 5

[User]
a man invested rs. 14,400 in rs. 100 shares of a company at 20 % premium. if the company declares 7 % dividend at the end of the year, then how much does he get?
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[Assistant] rs. 840


[User]
the distance between delhi and mathura is 130 kms. a starts from delhi with a speed of 25 kmph at 7 a. m. for mathura and b starts from mathura with a speed of 30 kmph at 9 p. m. from delhi. when will they meet?
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[Assistant] 11

[User]
how is 1 / 2 % expressed as a decimal fraction?
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[Assistant] 0.005

[User]
a hostel had provisions for 250 men for 28 days. if 50 men left the hostel, how long will the food last at the same rate?
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[Assistant] 35

[User]
the ratio of a to b is 4 to 5, where a and b are positive. if x equals a increased by 25 percent of a, and m equals b decreased by 20 percent of b, what is the value of m / x?
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[Assistant] 4 / 5

[User]
if rs. 480 amount to rs. 540 in 4 years, what will it amount to in 6 years at the same rate % per annum?
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[Assistant] s. 570


[User]
rectangular tile each of size 25 cm by 16 cm must be laid horizontally on a rectangular floor of size 180 cm by 120 cm, such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. a tile can be placed in any orientation so long as its edges are parallel to the edges of floor. no tile should overshoot any edge of the floor. the maximum number of tiles that can be accommodated on the floor is :
Answer the question using a single word or phrase.

[Assistant] 54

[User]
a house wife saved $ 2.75 in buying an item on sale. if she spent $ 20 for the item, approximately how much percent she saved in the transaction?
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[Assistant] 12 %

[User]
the ratio of buses to cars on river road is 1 to 3. if there are 40 fewer buses than cars on river road, how many cars are on river road?
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[Assistant] 60

[User]
three numbers are in the ratio 4 : 5 : 6 and their average is 25. the largest number is :
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[Assistant] 30

[User]
in a garden, 26 trees are planted at equal distances along a yard 600 metres long, one tree being at each end of the yard. what is the distance between two consecutive trees?
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[Assistant] 24


[User]
on a wedding catering service, an experienced chef can prepare a service for a wedding in 6 hours while an novice chef would finish the preparations in 7 hours. if the catering service employs the same number of novice and experienced chefs, then how many chefs would it take to prepare a wedding service in 1 hour and 36 minutes?
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[Assistant] 4

[User]
there is a 20 % chance sandy will visit china this year, while there is a 60 % chance that she will visit malaysia this year. what is the probability that sandy will visit either china or malaysia this year, but not both?
Answer the question using a single word or phrase.

[Assistant] 56 %

[User]
a mixture contains alcohol and water in the ratio 4 : 3. if 5 liters of water is added to the mixture, the ratio becomes 4 : 5. find the quality of alcohol in the given mixture.
Answer the question using a single word or phrase.

[Assistant] 10

[User]
a 150 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. what is the length of the other train?
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[Assistant] 350 meter

[User]
the average age of 7 men increases by 3 years when two women are included in place of two men of ages 18 and 22 years. find the average age of the women?
Answer the question using a single word or phrase.

[Assistant] 30.5


[User]
julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. after two years she earned $ 100 and $ 105 from the simple interest account and the compound interest account respectively. if the interest rates for both accounts were the same, what was the amount of julie's initial savings?
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[Assistant] 1000

[User]
a walks at 4 kmph and 4 hours after his start, b cycles after him at 10 kmph. how far from the start does b catch up with a?
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[Assistant] 26.7 km

[User]
barbata invests $ 2400 in the national bank at 5 %. how much additional money must she invest at 10 % so that the total annual income will be equal to 6 % of her entire investment?
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[Assistant] 600

[User]
100 is increased by 50 %. find the final number.
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[Assistant] 150

[User]
two cyclist start from the same places in opposite directions. one is going towards north at 5 kmph and the other is going towards south 5 kmph. what time will they take to be 50 km apart?
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[Assistant] 5 hrs


[User]
what is the average ( arithmetic mean ) of the numbers 2, 4, 6, 8, 10, 12, 14 and 16?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
a miniature roulette wheel is divided into 10 equal sectors, each bearing a distinct integer from 1 to 10, inclusive. each time the wheel is spun, a ball randomly determines the winning sector by settling in that sector. if the wheel is spun two times, approximately what is the probability that the product of the two winning sectors ’ integers will be even?
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[Assistant] 75 %

[User]
when the number 2 y 31129 is exactly divisible by 11, then what can be the smallest whole number in place of y?
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[Assistant] 1

[User]
a pet store holds cats and dogs. if the difference between the number of cats and the number of dogs is 17. what could be the ratio of cats to dogs in the pet store?
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[Assistant] 68 : 85

[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 15 percent of revenues. the profits in 2009 were what percent of the profits in 2008?
Answer the question using a single word or phrase.

[Assistant] 120 %


[User]
a hall 36 m long and 15 m broad is to be paved with stones, each measuring 3 dm by 5 dm. the number of stones required is :
Answer the question using a single word or phrase.

[Assistant] 3600

[User]
the length of a rectangular plot is 20 metres more than its breadth. if the cost of fencing the plot @ rs. 26.50 per metre is rs. 6095, what is the length of the plot in metres?
Answer the question using a single word or phrase.

[Assistant] 230

[User]
jill has 28 gallons of water stored in quart, half - gallon, and one gallon jars. she has equal numbers of each size jar holding the liquid. what is the total number of water filled jars?
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[Assistant] 48

[User]
the l. c. m of two numbers is 2310 and their h. c. f is 30. if one number is 330 the other is
Answer the question using a single word or phrase.

[Assistant] 210

[User]
a certain number when divided by 50 leaves a remainder 25, what is the remainder if the same no. be divided by 15?
Answer the question using a single word or phrase.

[Assistant] 5


[User]
11 friends went to a hotel and decided to pay the bill amount equally. but 10 of them could pay rs. 60 each as a result 11 th has to pay rs. 50 extra than his share. find the amount paid by him.
Answer the question using a single word or phrase.

[Assistant] 115

[User]
at a certain zoo, the ratio of sea horse to penguins is 5 to 11. if there are 85 more penguins than sea horses at the zoo, how many sea horses are there?
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[Assistant] 70

[User]
speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. a man rows to place at a distance of 105 km and comes back to the starting point. the total time taken by him is :
Answer the question using a single word or phrase.

[Assistant] 24 hours

[User]
what is the remainder when 7 ^ 700 is divided by 100?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
a person bought 110 glass bowls at a rate of rs. 10 per bowl. he sold 100 of them at rs. 14 and the remaining broke. what is the percentage gain for a?
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[Assistant] 300 / 11


[User]
the difference between a number and its two - fifth is 45. what is the number?
Answer the question using a single word or phrase.

[Assistant] 75

[User]
the ratio of numbers is 3 : 4 and their h. c. f is 4. their l. c. m is :
Answer the question using a single word or phrase.

[Assistant] 48

[User]
in the first m games of a team's season, the ratio of the team's wins to its losses was 3 : 1. in the subsequent n games, the ratio of the team ´ s wins to losses was 2 : 3. if m : n = 4 : 5, what was the ratio of the team's wins to its losses for all m + n games?
Answer the question using a single word or phrase.

[Assistant] 5 : 4

[User]
a rainstorm increased the amount of water stored in state j reservoirs from 124 billion gallons to 138 billion gallons. if the storm increased the amount of water in the reservoirs to 82 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?
Answer the question using a single word or phrase.

[Assistant] 44

[User]
for what value of x between − 6 and 6, inclusive, is the value of x ^ 2 − 10 x + 16 the greatest?
Answer the question using a single word or phrase.

[Assistant] − 6


[User]
a sum of money amounts to rs. 9800 after 5 years and rs. 12005 after 8 years at the same rate of simple interest. the rate of interest per annum is :
Answer the question using a single word or phrase.

[Assistant] 12

[User]
how many seconds will a train 110 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Answer the question using a single word or phrase.

[Assistant] 26 sec

[User]
a teacher gave the same test to 3 history classes : a, b, and c. the average ( arithmetic mean ) scores for the 3 classes were 65, 90, and 77, respectively. the ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. what was the average score for the 3 classes combined?
Answer the question using a single word or phrase.

[Assistant] 79

[User]
a merchant purchased a jacket for $ 54 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 40 percent of the selling price. during a sale, the merchant discounted the selling price by 20 percent and sold the jacket. what was the merchant ’ s gross profit on this sale?
Answer the question using a single word or phrase.

[Assistant] $ 18

[User]
a distributor sells a product through an online store, which take a commission of 20 % of the price set by the distributor. the distributor obtains the product from a producer at the price of $ 19 per item. what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item?
Answer the question using a single word or phrase.

[Assistant] $ 28.50


[User]
three pipes of same capacity can fill a tank in 12 hours. if there are only two pipes of same capacity, the tank can be filled in?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
what is the least number to be subtracted from 800 to make it a perfect square?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
a train crosses a platform of 110 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Answer the question using a single word or phrase.

[Assistant] 310

[User]
bucket p has thrice the capacity as bucket q. it takes 80 turns for bucket p to fill the empty drum. how many turns it will take for both the buckets p and q, having each turn together to fill the empty drum?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
a person travels equal distances with speeds of 3 km / hr, 4 km / hr and 5 km / hr and takes a total time of 47 minutes. the total distance ( in km ) is :
Answer the question using a single word or phrase.

[Assistant] 3


[User]
weights of two friends ram and shyam are in the ratio 7 : 5. if ram's weight is increased by 10 % and total weight of ram and shyam become 82.8 kg, with an increases of 15 %. by what percent did the weight of shyam has to be increased?
Answer the question using a single word or phrase.

[Assistant] 22 %

[User]
in town x, 90 percent of the population are employed, and 20 percent of the population are employed males. what percent of the employed people in town x are females?
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[Assistant] 77 %

[User]
the ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. what are their present ages of the elder person?
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[Assistant] 30

[User]
how many positive integers less than 90 are multiples of 6 but not multiples of 9?
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[Assistant] 10

[User]
two numbers are in the ratio of 6 : 8. if 10 is subtracted from each, the new numbers are in the ratio 16 : 32. find the smaller number.
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[Assistant] 15


[User]
how many three - element subsets of { 5, 6,7, 8,9 } are there that do not contain the pair of elements 6 and 9?
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[Assistant] 5

[User]
if a lends rs. 1500 to b at 10 % per annum and b lends the same sum to c at 11.5 % per annum then the gain of b in a period of 3 years is?
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[Assistant] 67.5

[User]
a man sitting in a train which is traveling at 45 kmph observes that a goods train, traveling in opposite direction, takes 8 seconds to pass him. if the goods train is 340 m long, find its speed
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[Assistant] 108 kmph

[User]
if x and y are both odd prime numbers and x < y, how many distinct positive integer q factors does 2 xy have?
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[Assistant] 8

[User]
what is the sum of all possible solutions to | x - 5 | ^ 2 + | x - 5 | = 20?
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[Assistant] 10


[User]
how many integers k greater than 100 and less than 1100 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] 90

[User]
anil had to do a multiplication. instead of taking 35 as one of the multipliers, he took 53. as a result, the product went up by 540. what is the new product?
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[Assistant] 1590

[User]
at what rate percent of simple interest will a sum of money double itself in 33 years?
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[Assistant] 3.03 %

[User]
a 360 meter long train crosses a man standing on the platform in 6 sec. what is the speed of the train?
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[Assistant] 216

[User]
a trader bought a car at 30 % discount on its original price. he sold it at a 40 % increase on the price he bought it. what percent of profit did he make on the original price?
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[Assistant] 98


[User]
one - tenth of the students at a nursery school are 4 years old or older. if 20 students have not yet reached their third birthday, and a total of 25 students are not between 3 years old and 4 years old, how many children are in the nursery school?
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[Assistant] 50

[User]
a train is 310 meter long is running at a speed of 45 km / hour. in what time will it pass a bridge of 140 meter length?
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[Assistant] 36 seconds

[User]
a 49 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other, how many centimeters will the shorter piece be?
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[Assistant] 14

[User]
there are 6 boxes numbered 1, 2,... 6. each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. the total number of ways in which this can be done is :
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[Assistant] 21

[User]
the overall age of x and y is 18 year greater than the overall age of y and z. z is how many decades younger that x?
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[Assistant] 18


[User]
tom, working alone, can paint a room in 8 hours. peter and john, working independently, can paint the same room in 4 hours and 2 hours, respectively. tom starts painting the room and works on his own for two hour. he is then joined by peter and they work together for two hour. finally, john joins them and the three of them work together to finish the room, each one working at his respective rate. what fraction of the whole job was done by peter?
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[Assistant] 4 / 7

[User]
a boy rides his bicycle 10 km at an average sped of 12 km / hr and again travels 12 km at an average speed of 10 km / hr. his average speed for the entire trip is approximately.
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[Assistant] 10.8 kmph

[User]
( a / 2 ) / ( b / c ) in the expression above, a, b, and c are different numbers and each is one of the numbers 1, 2, or 4. what is the largest possible value of the expression?
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[Assistant] 8 / 2

[User]
in a college the ratio of the numbers of boys to the girls is 8 : 5. if there are 190 girls, the total number of students in the college is?
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[Assistant] 494

[User]
if the numerator of a fraction be increased by 15 % and its denominator be diminished by 8 %, the value of the fraction is 15 / 16. find the original fraction?
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[Assistant] 3 / 4


[User]
simplify : 32 ÷ 8 × 24 + 16 =
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[Assistant] 112

[User]
a tank holds x gallons of a saltwater solution that is 20 % salt by volume. one fourth of the water is evaporated, leaving all of the salt. when 5 gallons of water and 10 gallons of salt are added, the resulting mixture is 33 1 / 3 % salt by volume. what is the value of x?
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[Assistant] 75

[User]
the tax on a commodity is diminished by 32 % but its consumption is increased by 12 %. find the decrease percent in the revenue derived from it?
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[Assistant] 24 %

[User]
106 x 106 - 94 x 94 =?
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[Assistant] 2400

[User]
of the 90 house in a development, 50 have a two - car garage, 40 have an in - the - ground swimming pool, and 35 have both a two - car garage and an in - the - ground swimming pool. how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool?
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[Assistant] 35


[User]
how many cuboids of length 5 m, width 6 m and height 3 m can be farmed from a cuboid of 18 m length, 15 m width and 2 m height.
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[Assistant] 6

[User]
when x is multiplied by 3, the result is 26 more than the result of subtracting x from 26. what is the value of x?
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[Assistant] 13

[User]
the sum of digits of a two digit number is 11, the difference between the digits is 5. find the number
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[Assistant] 83

[User]
if x, y, and z are positive integers and 3 x = 7 y = 5 z, then the least possible value of x + y + z is
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[Assistant] 71

[User]
a sports retailer ordered white and yellow tennis balls in equal number but the dispatch clerk of the tennis ball company erred and dispatched 90 extra yellow balls and making ratio of white balls to yellow balls 8 / 13. how many tennis balls did the retailer order originally.
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[Assistant] 288


[User]
a combustion reaction forms carbon dioxide. a carbon dioxide molecule contains one carbon and two oxygen atoms. if, over a period of 10 minutes, a combustion reaction creates 10000 molecules of carbon dioxide then approximately how many more atoms of oxygen than carbon are created on average per minute?
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[Assistant] 1,000

[User]
if two girls starting from same point, walking in the opposite directions with 5 km / hr and 10 km / hr as average speeds respectively. then the distance between them after 5 hours is?
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[Assistant] 75

[User]
in the junior basketball league there are 15 teams, 1 / 3 of them are bad and ½ are rich. what ca n't be the number of teams that are rich and bad?
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[Assistant] 9.

[User]
the length of a rectangular plot is thrice its breadth. if the area of the rectangular plot is 2028 sq m, then what is the breadth of the rectangular plot?
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[Assistant] 26

[User]
find the least number which when divided by 5, 67, and 8 leaves a remainder 3, but when divided by 9 leaves no remainder
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[Assistant] 1683


[User]
xavier, yvonne, and zelda each try independently to solve a problem. if their individual probabilities for success are 1 / 6, 1 / 2 and 5 / 8, respectively, what is the probability that xavier and yvonne, but not zelda, will solve the problem?
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[Assistant] 1 / 32

[User]
for any positive number x, the function [ x ] denotes the greatest integer less than or equal to x. for example, [ 1 ] = 1, [ 1.267 ] = 1 and [ 1.999 ] = 1. if k is a positive integer such that k ^ 2 is divisible by 45 and 80, what is the units digit of k ^ 3 / 4000?
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[Assistant] 0

[User]
in a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 22 to the thrice of the remainder. the dividend is
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[Assistant] 166

[User]
a sum fetched total simple interest of 4016.25 at the rate of 11 p. c. p. a. in 5 years. what is the sum?
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[Assistant] 7302.3

[User]
a train consists of 12 boggies, each boggy 15 metres long. the train crosses a telegraph post in 18 seconds. due to some problem, three boggies were detached. the train now crosses a telegraph post in
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[Assistant] 13.5 sec


[User]
what is the cp of rs 100 stock at 8 discount, with 1 / 5 % brokerage?
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[Assistant] 92.2

[User]
zinc and copper are melted together in the ratio 9 : 11. what is the weight of melted mixture, if 27 kg of zinc has been consumed in it?
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[Assistant] 60 kg

[User]
if x is an integer such that 3 < x < 10, 5 < x < 18, 9 > x > – 2, 8 > x > 0, and x + 1 < 9, then x is
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[Assistant] 7

[User]
if n is a positive integer greater than 1, then p ( n ) represents the product of all the prime numbers less than or equal to n. the second smallest prime factor of p ( 12 ) + 11 is
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[Assistant] 211

[User]
the average ( arithmetic mean ) of 4 different integers is 70. if the largest integer is 90, what is the least possible value of the smallest integer?
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[Assistant] 13


[User]
double of quarter of 6 percent written as a decimal is :
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[Assistant] 0.03

[User]
p and q can complete a work in 20 days and 12 days respectively. p alone started the work and q joined him after 4 days till the completion of the work. how long did the work last?
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[Assistant] 10 days

[User]
if in one hour, a canoe rows at 16 km / hr downstream and 9 km / hr upstream, calculate the speed of a boat in still water ( in km / hr ).
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[Assistant] 12.5 kmph

[User]
a rectangular lawn 55 m by 35 m has two roads each 4 m wide running in the middle of it. one parallel to the length and the other parallel to breadth. the cost of graveling the roads at 75 paise per sq meter is?
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[Assistant] rs. 258

[User]
a salesman ` s commission is 5 % on all sales upto rs. 10000 and 4 % on all sales exceeding this. he remits rs. 31100 to his parent company after deducing his commission. find the total sales.
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[Assistant] 32500


[User]
approximately how many revolutions will be made by a car tire with a 15 - inch diameter if the car travels 1 ⁄ 2 mile?
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[Assistant] 669

[User]
16 chess players take part in a tournament. every player plays twice with each of his opponents. how many games are to be played?
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[Assistant] 240

[User]
the grade point average of one third of the classroom is 30 ; the grade point average of the rest is 33. what is the grade point average of the whole class?
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[Assistant] 32

[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 18 mph between the 2 friends until the friends meet. how many miles does the pigeon travel?
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[Assistant] 54

[User]
average expenditure of a person for the first 3 days of a week is rs. 360 and for the next 4 days is rs. 420. average expenditure of the man for the whole week is :
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[Assistant] 400


[User]
what approximate value will come in place of the question mark (? ) in the below question? ( 47 % of 1442 - 36 % of 1412 ) + 63 =?
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[Assistant] 252

[User]
the units digit of ( 35 ) ^ ( 87 ) + ( 93 ) ^ ( 47 ) is :
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[Assistant] 2

[User]
a “ palindromic integer ” is an integer that remains the same when its digits are reversed. so, for example, 43334 and 516615 are both examples of palindromic integers. how many 6 - digit palindromic integers are both even and greater than 400,000?
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[Assistant] 300

[User]
multiplication of 2 numbers is 9375 and the quotient, when the larger one is divided by the smalleris 15. find the sum of the numbers?
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[Assistant] 400

[User]
a person distributed 20 % of his income to his 3 children each. he deposited 30 % of his income to his wife's account. he donated 5 % of remaining amount to an orphan house. finally he has $ 40000. find his total income?
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[Assistant] 800000


[User]
a box contains 20 electric bulbs, out of which 4 are defective. two bulbs are chosen at random from this box. the probability that at least one of these is defective is
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[Assistant] 7 / 19

[User]
after decreasing 24 % in the price of an article costs rs. 988. find the actual cost of an article?
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[Assistant] 1300

[User]
a sum of money at simple interest amounts to rs. 825 in 3 years and to rs. 846 in 4 years. the sum is?
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[Assistant] s. 762

[User]
of the votes cast on a certain proposal, 58 more were in favor of the proposal than were against it. if the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? ( each vote cast was either in favor of the proposal or against it. )
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[Assistant] 290

[User]
the s. i. on a certain sum of money for 3 years at 10 % per annum is half the c. i. on rs. 4000 for 2 years at 10 % per annum. the sum placed on s. i. is?
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[Assistant] 1400


[User]
for any number z, z * is defined as the greatest positive even integer less than or equal to y. what is the value of 6.45 – 6.45 *?
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[Assistant] 0.45

[User]
maxwell leaves his home and walks toward brad's house. one hour later, brad leaves his home and runs toward maxwell's house. if the distance between their homes is 54 kilometers, maxwell's walking speed is 4 km / h, and brad's running speed is 6 km / h. what is the distance traveled by maxwell?
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[Assistant] 24

[User]
find the total number of prime factors in the expression ( 4 ) ^ 11 x ( 7 ) ^ 7 x ( 11 ) ^ 2
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[Assistant] 31

[User]
at a certain fruit stand, the price of each apple is 40 cents and the price of each orange is 60 cents. mary selects a total of 10 apples and oranges from the fruit stand, and the average ( arithmetic mean ) price of the 10 pieces of fruit is 48 cents. how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 45 cents?
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[Assistant] 2

[User]
a rectangular lawn of length 200 m by 120 m has two roads running along its center, one along the length and the other along the width. if the width of the roads is 5 m what is the area q covered by the two roads?
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[Assistant] 1575


[User]
by approximately what percent is x greater than 4 / 5 if ( 4 / 5 ) ( x ) = 1?
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[Assistant] 56 %

[User]
a train 120 m long passes a man, running at 5 km / hr in the same direction in which the train is going, in 10 seconds. the speed of the train is :
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[Assistant] 48.2

[User]
find the surface area of a 8 cm x 6 cm x 2 cm brick.
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[Assistant] 152 cu cm

[User]
a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 15 % while buying and by 20 % while selling. what is his percentage profit?
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[Assistant] 43.75 %

[User]
a field is 90 metre long and 50 metre broad. a 25 metre long, 20 metre broad and 4 metre deep tank dug in the field and the earth taken out is spread evenly over the remaining field. how much the level of field will rise?
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[Assistant] 0.5 metre


[User]
how many odd numbers between 10 and 800 are the squares of integers?
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[Assistant] 12

[User]
a pharmaceutical company received $ 3 million in royalties on the first $ 20 million in sales of and then $ 9 million in royalties on the next $ 106 million in sales. by approximately what percentage did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales?
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[Assistant] 47 %

[User]
the price of lunch for 15 people was $ 207 including a 15 % gratuity for service. what was the average price per person, excluding the gratuity?
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[Assistant] 12

[User]
a soft drink company had 6000 small and 15000 big bottles in storage. if 11 % of small 12 % of big bottles have been sold, then the total bottles remaining in storage is
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[Assistant] 18540

[User]
solve the equation for x : 6 x - 27 + 3 x = 4 + 9 - x?
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[Assistant] 4


[User]
a sum of money at simple interest amounts to rs. 840 in 3 years and to rs. 854 in 4 years. the sum is :
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[Assistant] 798

[User]
the dimensions of a rectangular solid are 4 inches, 6 inches, and 8 inches. if a cube, a side of which is equal to one of the dimensions of the rectangular solid, is placed entirely within thespherejust large enough to hold the cube, what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube?
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[Assistant] 2 : 3

[User]
annika hikes at a constant rate of 12 minutes per kilometer. she has hiked 2.75 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 51 minutes. if annika continues east, then turns around and retraces her path to reach the start of the trail in exactly 51 minutes, for how many kilometers total did she hike east?
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[Assistant] 3.5

[User]
if y is the smallest positive integer such that 1,260 multiplied by y is the square of an integer, then y must be
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[Assistant] 35

[User]
if sharon's weekly salary increased by 16 percent, she would earn $ 348 per week. if instead, her weekly salary were to increase by 25 percent, how much would she earn per week?
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[Assistant] $ 375


[User]
a rectangular block 6 cm by 12 cm by 15 cm is cut into an exact number of equal cubes. find the least possible number of cubes?
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[Assistant] 40

[User]
a cistern 4 m long and 8 m wide contains water up to a depth of 1 m 25 cm. the total area of the wet surface is :
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[Assistant] 62 m 2

[User]
in measuring the sides of a rectangle, one side is taken 12 % in excess and other 5 % in deficit. find the error percentage in the area calculated from these measurements.
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[Assistant] 6.4 %

[User]
in an election between two candidates a and b, the number of valid votes received by a exceeds those received by b by 15 % of the total number of votes polled. if 20 % of the votes polled were invalid and a total of 7720 votes were polled, then how many valid votes did b get?
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[Assistant] 2509

[User]
a 180 meter long train crosses a man standing on the platform in 9 sec. what is the speed of the train?
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[Assistant] 72


[User]
3 candidates in an election and received 3000, 5000 and 15000 votes respectively. what % of the total votes did the winningcandidate got in that election?
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[Assistant] 65.21 %

[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 16 more photos than claire. how many photos has claire taken?
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[Assistant] 8

[User]
in the fifth grade at parkway elementary school there are 420 students. 296 students are boys and 250 students are playing soccer. 86 % of the students that play soccer are boys. how many girl student are in parkway that is not playing soccer?
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[Assistant] 89

[User]
the percentage increase in the area of a rectangle, if each of its sides is increased by 20 %
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[Assistant] 44

[User]
a sum was put at simple interest at certain rate for 3 years. had it been put at 1 % higher rate it would have fetched rs. 69 more. the sum is : a. rs. 2,400 b. rs. 2,100 c. rs. 2,200 d. rs. 2,480
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[Assistant] 2300


[User]
if 5 x = 6 y = z, what is x + y, in terms of z?
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[Assistant] 11 z / 30

[User]
if the mean of numbers 38, x, 70, 88 and 110 is 69, what is the mean of 50, 72, 97, 125,147 and x?
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[Assistant] 86.67

[User]
a train 200 m long running at 54 kmph crosses a platform in 25 sec. what is the length of the platform?
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[Assistant] 175

[User]
liam is pulled over for speeding just as he is arriving at work. he explains to the police officer that he could not afford to be late today, and has arrived at work only four minutes before he is to start. the officer explains that if liam had driven 5 mph slower for his whole commute, he would have arrived at work exactly on time. if liam's commute is 60 miles long, how fast was he actually driving? ( assume that liam drove at a constant speed for the duration of his commute. )
Answer the question using a single word or phrase.

[Assistant] 70 mph

[User]
a bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. if the total time taken is 5.4 hours, then the distance covered at 40 kmph is
Answer the question using a single word or phrase.

[Assistant] 148


[User]
a merchant has selected two items to be placed on sale, one of which currently sells for 35 percent less than the other. if he wishes to raise the price of the cheaper item so that the two items are equally priced, by what percentage must he raise the price of the less expensive item?
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[Assistant] 50 %

[User]
the population of a bacteria colony doubles every day. if it was started 11 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?
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[Assistant] 4096

[User]
the unit digit in the product 7858 * 1086 * 4582 * 9783 is?
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[Assistant] 8

[User]
a train speeds past a pole in 20 seconds and passes through a tunnel 500 m long in 40 seconds. its length is :
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[Assistant] 500 m

[User]
yesterday's closing prices of 1,980 different stocks listed on a certain stock exchange were all different from today's closing prices. the number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. how many of the stocks closed at a higher price today than yesterday?
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[Assistant] 1080


[User]
20 - 8 percent of the programmers in a startup company weigh 200 pounds or more. 20 - 5 percent of the programmers that are under 200 pounds in that same company weigh 100 pounds or less. what percent of the programmers in the startup company weigh between 100 and 200 pounds?
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[Assistant] 54 %

[User]
the racing magic takes 90 seconds to circle the racing track once. the charging bull makes 40 rounds of the track in an hour. if they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time?
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[Assistant] 3

[User]
a lent rs. 5000 to b for 2 years and rs. 3000 to c for 4 years on simple interest at the same rate of interest and received rs. 3300 in all from both of them as interest. the rate of interest per annum is?
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[Assistant] 15 %

[User]
in the first 10 overs of a cricket game, the run rate was only 3.2. what should be the run rate in the remaining 40 overs to reach the target of 282 runs?
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[Assistant] 6.25

[User]
what is the unit ’ s digit of 7 ^ 6
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[Assistant] 9


[User]
a can finish a work in 4 days and b can do same work in half the time taken by a. then working together, what part of same work they can finish in a day?
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[Assistant] 3 / 4

[User]
two pipes a and b can separately fill a tank in 16 and 10 minutes respectively. a third pipe c can drain off 60 liters of water per minute. if all the pipes are opened, the tank can be filled in 10 minutes. what is the capacity of the tank?
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[Assistant] 960 liters

[User]
a train speeds past a pole in 15 sec and a platform 110 m long in 25 sec, its length is?
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[Assistant] 165

[User]
if ( t - 8 ) is a factor of t ^ 2 - kt - 47, then k =
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[Assistant] 6

[User]
during a special promotion, a certain filling station is offering a 10 percent discount on gas purchased after the first 10 gallons. if kim purchased 15 gallons of gas, and isabella purchased 25 gallons of gas, then isabella ‟ s total per - gallon discount is what percent of kim ‟ s total per - gallon discount?
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[Assistant] 180 %


[User]
a man can row downstream at the rate of 16 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] 11,5

[User]
find avrg speed if a man travels at speed of 18 km / hr up and 24 km / hr dawn at an altitude of 300 m.
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[Assistant] 20.5

[User]
nitin ranks 27 th in a class of 89 students. what is rank from the last?
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[Assistant] 63

[User]
set a consists of the integers from 3 to 12, inclusive, while set b consists of the integers from 6 to 20, inclusive. how many distinct integers do belong to the both sets at the same time?
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[Assistant] 7

[User]
what is the units digit of the expression 14 ^ 7 − 20 ^ 4?
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[Assistant] 8


[User]
bhanu spends 30 % of his income on petrol on scooter 14 % of the remaining on house rent and the balance on food. if he spends rs. 300 on petrol then what is the expenditure on house rent?
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[Assistant] 98

[User]
a man covered a certain distance at some speed. if he had moved 3 kmph faster, he would have taken 40 minutes less. if he had moved 2 kmph slower, he would have taken 40 minutes more. what is the distance in km?
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[Assistant] 40

[User]
if x * y = xy – 2 ( x + y ) for all integers x and y, then 2 * ( – 3 ) =
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[Assistant] – 4

[User]
a man is 18 years older than his son. in eight years, his age will be twice the age of his son. the present age of this son is
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[Assistant] 10 years

[User]
operation # is defined as : a # b = 4 a ^ 2 + 4 b ^ 2 + 8 ab for all non - negative integers. what is the value of ( a + b ) + 5, when a # b = 100?
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[Assistant] 10


[User]
a student got 72 % in math and 84 % in history. to get an overall average of 75 %, how much should the student get in the third subject?
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[Assistant] 69 %

[User]
if f ( x ) = ax ^ 2 – 6 x + ax + 1, then f ( b ) – f ( - b ) will equal :
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[Assistant] - 12 b + 2 ab

[User]
a 100 meter long train crosses a man standing on the platform in 5 sec. what is the speed of the train?
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[Assistant] 72 kmph

[User]
what is the sum r of all 3 digit numbers that leave a remainder of'2'when divided by 3?
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[Assistant] 164850

[User]
find the cost of carpeting a room 13 m long and 9 m broad with a carpet 75 cm wide at the rate of rs. 12 per square metre.
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[Assistant] 1872


[User]
each week a restaurant serving mexican food uses the same volume of chili paste, which comes in either 25 - ounce cans or 15 - ounce cans of chili paste. if the restaurant must order 30 more of the smaller cans than the larger cans to fulfill its weekly needs, then how many larger cans are required to fulfill its weekly needs?
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[Assistant] 45

[User]
a boat running downstream covers a distance of 22 km in 4 hours while for covering the same distance upstream, it takes 5 hours. what is the speed of the boat in still water?
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[Assistant] 4.95

[User]
express a speed of 54 kmph in meters per second?
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[Assistant] 15 mps

[User]
the cash difference between the selling prices of an article at a profit of 8 % and 6 % is rs 3. the ratio of two selling prices is
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[Assistant] 54 : 53

[User]
the tax on a commodity is diminished by 16 % and its consumption increased by 15 %. the effect on revenue is?
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[Assistant] 3.4 %


[User]
the maximum number of student amoung them 2010 pens and 1050 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
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[Assistant] 30

[User]
two quarts containing 2 ⁄ 3 water and 1 ⁄ 3 formula are mixed with 3 quarts containing 3 ⁄ 8 water and 5 ⁄ 8 formula. approximately what percent of the combined 5 - quart mixture is water?
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[Assistant] 50 %

[User]
two numbers are in the ratio 3 : 4. if their l. c. m. is 48. what is sum of the numbers?
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[Assistant] 28

[User]
a cricketer scored 134 runs which included 12 boundaries and 2 sixes. what percent of his total score did he make by running between the wickets.
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[Assistant] 55.22 %

[User]
a worker makes a toy in every 2 h. if he works for 80 h, then how many toys will he make?
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[Assistant] 40


[User]
bhavan travelled for 20 hours. he covered the first half of the distance at 50 kmph and remaining half of the distance at 40 kmph. find the distance travelled by bhavan?
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[Assistant] 888.89

[User]
what is the tens digit of 7 ^ 957?
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[Assistant] 3

[User]
? x 40 = 173 x 240
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[Assistant] 1038

[User]
rose made a part payment of $ 300 toward buying a brand new car, which represents 5 % of the total cost of the car, how much remains to be paid?
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[Assistant] $ 5700

[User]
a pump can fill a tank with water in 2 hours. because of a leak, it took 2 x 1 / 3 hours to fill the tank. the leak can drain all the water of the tank in
Answer the question using a single word or phrase.

[Assistant] 14 hours


[User]
in a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates ( 0, 3.5 ), ( 12, 0 ), ( 0, - 3.5 ), ( - 12, 0 )?
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[Assistant] 84

[User]
rs. 6000 is lent out in two parts. one part is lent at 7 % p. a simple interest and the other is lent at 10 % p. a simple interest. the total interest at the end of one year was rs. 480. find the ratio of the amounts lent at the lower rate and higher rate of interest?
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[Assistant] 2 : 1

[User]
the banker's gain on a bill due due 1 year hence at 12 % per annum is rs. 7.2. the true discount is
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[Assistant] rs. 60

[User]
n is the greatest number which divides 1305, 4665 and 6905 and gives the same remainder in each case. what is the sum of the digits in n?
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[Assistant] 4

[User]
john purchased a grinder and a mobile for rs. 15000 & rs. 8000 respectively. he sold the grinder at a loss of 2 % and the mobile phone at a profit of 10 %. overall how much he make a profit.
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[Assistant] s. 500


[User]
mid intended to type a 7 - digit number, but the two 3's he meant to type did not appear. what appeared instead was the 5 - digit number 52115. how many different 7 - digit numbers could mid have meant to type?
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[Assistant] 21

[User]
in a clothing store, there are 6 different colored neckties ( red, orange, yellow, green, blue, and indigo ) and 4 different colored shirts ( red, orange, yellow, green, blue, and indigo ) that must be packed into boxes for gifts. if each box can only fit one necktie and one shirt, what is the probability that all of the boxes will contain a necktie and a shirt of the same color?
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[Assistant] 1 / 24

[User]
a, b, c subscribe rs. 50000 for a business, a subscribes rs. 4000 more than b and b rs. 5000 more than c. out of a total profit of rs. 70000, a receives :
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[Assistant] 29400

[User]
a canoe has two oars, left and right. each oar either works or breaks. the failure or non - failure of each oar is independent of the failure or non - failure of the other. you can still row the canoe with one oar. the probability that the left oar works is 3 / 5. the probability that the right oar works is also 3 / 5. what is the probability q that you can still row the canoe?
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[Assistant] 21 / 25

[User]
john purchased a grinder and a mobile for rs. 15000 & rs. 8000 respectively. he sold the grinder at a loss of 4 % and the mobile phone at a profit of 10 %. overall how much he make aprofit.
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[Assistant] rs. 200


[User]
0.03 x 0.5 =?
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[Assistant] 0.015

[User]
how much interest can a person get on rs. 7200 at 17.5 % p. a. simple interest for a period of two years and 6 months?
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[Assistant] rs. 3150

[User]
what is the units digit of 13 ^ 4 * 17 ^ 2 * 29 ^ 3?
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[Assistant] 1

[User]
donovan took a math test and got 35 correct and 13 incorrect answers. what was the percentage of correct answers? ( round to the nearest hundredth )
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[Assistant] 72.92 %

[User]
the slant height of a cone is 14 cm and radius of the base is 12 cm, find the curved surface of the cone.
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[Assistant] 528


[User]
if the price of sugar rises from rs. 6 per kg to rs. 7.50 per kg, a person, to have no increase in his expenditure on sugar, will have to reduce his consumption of sugar by
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[Assistant] 20 %

[User]
in a lottery there are 10 prizes and 25 blanks. a lottery is drawn at random. what is the probability of getting a blank?
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[Assistant] 5 / 7

[User]
walking at the rate of 4 kmph a man cover certain distance in 2 hr 45 min. running at a speed of 16.5 kmph the man will cover the same distance in.
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[Assistant] 40 min

[User]
how many positive factors do 120 and 96 have in common?
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[Assistant] 8

[User]
if p and q are positive integers each greater than 1, and 15 ( p + 1 ) = 29 ( q + 1 ), what is the least possible value of p + q?
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[Assistant] 42


[User]
how many numbers from 10 to 50 are exactly divisible by 3?
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[Assistant] 13

[User]
the percentage profit earned by selling an article for rs. 1820 is equal to the percentage loss incurred by selling the same article for rs. 1280. at what price should the article be sold to make 25 % profit?
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[Assistant] 1937.5

[User]
if the remainder is 3 when positive integer n is divided by 18, what is the remainder when n is divided by 6?
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[Assistant] 3

[User]
how many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth ( units digit ) is divisible by 3, and the digit 7 can be used only once?
Answer the question using a single word or phrase.

[Assistant] 304

[User]
two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 10 % and 20 % respectively. if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively, then the mixture will fetch the profit of
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[Assistant] 20 %


[User]
farm tax is levied on the 40 % of the cultivated land. the tax department collected total $ 3840 through the farm tax from the village of mr. willam. mr. willam paid only $ 480 as farm tax. the percentage of total land of mr. willam over the total taxable land of the village is :
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[Assistant] 31.25 %

[User]
the area of a circular field is 13.86 hectares. find the cost of fencing it at the rate of rs. 4.50 per metre.
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[Assistant] 5940

[User]
a mixture contains alcohol and water in the ratio 4 : 3. if 6 litres of water is added to the mixture, the ratio becomes 4 : 5. find the quantity of alcohol in the given mixture
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[Assistant] 12 litres

[User]
if the sides of a triangle are 26 cm, 25 cm and 10 cm, what is its area?
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[Assistant] 125

[User]
( 7.5 × 7.5 + 37.5 + 2.5 × 2.5 ) is equal to :
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[Assistant] 100


[User]
a theater charges $ 12 for seats in the orchestra and $ 8 for seats in the balcony. on a certain night, a total of 350 tickets were sold for a total cost of $ 3,320. how many more tickets were sold that night for seats in the balcony than for seats in the orchestra?
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[Assistant] 90

[User]
if a - b = 3 and a 2 + b 2 = 29, find the value of ab.
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[Assistant] 10

[User]
each child has 4 pencils and 13 skittles. if there are 8 children, how many pencils are there in total?
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[Assistant] 32

[User]
sandy had $ 140 left after spending 30 % of the money she took for shopping. how much money did sandy take along with her?
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[Assistant] $ 200

[User]
three pipes, a, b, & c are attached to a tank. a & b can fill it in 20 & 30 minutes respectively while c can empty it in 15 minutes. if a, b & c are kept open successively for 1 minute each, how soon will the tank be filled?
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[Assistant] 3 hours


[User]
a total of $ 20,000 was invested in two certificates of deposit at simple annual interest rates of 6 percent and 8 percent, respectively. if the total interest on the two certificates was $ 1,440 at the end of one year, what fractional part of the $ 20.000 was invested at the higher rate?
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[Assistant] 3 / 5

[User]
the average of 5 quantities is 6. the average of 3 of them is 4. what is the average of remaining 2 numbers?
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[Assistant] 9

[User]
having received his weekly allowance, john spent 3 / 5 of his allowance at the arcade. the next day he spent one third of his remaining allowance at the toy store, and then spent his last $ 0.40 at the candy store. what is john ’ s weekly allowance?
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[Assistant] $ 1.50

[User]
how much space, in cubic units, is left vacant when maximum number of 2 x 2 x 2 cubes are fitted in a rectangular box measuring 8 x 10 x 9?
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[Assistant] 80

[User]
how many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth ( units digit ) is divisible by 3, and the digit 3 can be used only once?
Answer the question using a single word or phrase.

[Assistant] 316


[User]
in an examination, there were 2,000 candidates, out of which 900 candidates were girls and rest were boys. if 32 % of the boys and 32 % of the girls passed, then the total percentage of failed candidates is?
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[Assistant] 68.00 %

[User]
find ( 7 x + 5 y ) / ( x - 2 y ) if x / 2 y = 3 / 2?
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[Assistant] 26

[User]
when a student weighing 45 kgs left a class, the average weight of the remaining 59 students increased by 200 g. what is the average weight of the remaining 59 students
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[Assistant] 57

[User]
mike drives his new corvette from san francisco to las vegas, a journey of 640 miles. he drives the first half of the trip at an average rate of 80 miles per hour, but has to slow down for the second half of his journey. if the second half of the trip takes him 200 percent longer than the first half, what is his average rate j in miles per hour for the entire trip?
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[Assistant] j = 40.0

[User]
if f ( x ) = 12 - x ^ 2 / 2 and f ( 2 k ) = 3 k, what is one possible value for k?
Answer the question using a single word or phrase.

[Assistant] 3


[User]
two numbers n and 14 have lcm = 56 and gcf = 12. find n.
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[Assistant] 48

[User]
express a speed of 414 kmph in meters per second?
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[Assistant] 115 mps

[User]
two pipes p and q can fill a cistern in 10 and 15 minutes respectively. both are opened together, but at the end of 3 minutes the first is turned off. how much longer will the cistern take to fill?
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[Assistant] 1 / 2

[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 80 feet wide by 150 feet long by 10 feet deep and is currently at 100 % capacity, how long will it take to drain the pool?
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[Assistant] 2000

[User]
tom and john traveled in the same direction along the equal route at their constant speed rates of 15 km per hour and 10 km per hour, respectively. after 15 minutes tom passed john, tom reaches a certain gas station, how many r minutes it takes john to reach the station?
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[Assistant] 7 and 1 / 2 min


[User]
a professional athlete was offered a 3 - year contract to play with team k that provided for an annual salary of $ 100000 in the first year, an increase in annual salary of 20 % over the previous year for the next two years, and a bonus of $ 50000 on signing. team l offered a 3 - year contract providing for an annual salary of $ 150000 in the first year, an increase in annual salary of 20 % over the previous year for the next two years, and no signing bonus. if he accepts the offer of team l and fulfills the 3 - year contract terms, the athlete will receive how much more money by choosing team l over team k?
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[Assistant] $ 132,000

[User]
there are 19 teams in the hockey league, and each team faces all the other teams 10 times each. how many games are played in the season?
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[Assistant] 1710

[User]
in a family 11 people eat only vegetarian, 6 people eat only non veg., 9 people eat both veg and non veg.. how many people eat veg in the family?
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[Assistant] 20

[User]
a cyclist climbs a hill with a length of 400 m with a speed of 7.2 km / h. when descending, the speed is two times greater. how much time is necessary for the cyclist to climb and descend the hill?
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[Assistant] 30 seconds

[User]
the radius of a semi circle is 6.8 cm then its perimeter is?
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[Assistant] 34.9


[User]
6.513 / 10.02 =
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[Assistant] 0.65

[User]
the ratio between the number of sheep and the number of horses at the stewart farm is 6 to 7, if each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day, what is the number of sheep in the farm?
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[Assistant] 48

[User]
what is the 23 th digit to the right of the decimal point in the decimal form of 1 / 11?
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[Assistant] 0

[User]
the present age of the father is 4 years more than 4 times the age of his son. 4 years hence, father's age will be 20 years more than twice the age of the son. find the present age of the father?
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[Assistant] 44

[User]
find the slope of the line perpendicular to the line y = ( 1 / 3 ) x - 7
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[Assistant] - 3


[User]
a scuba diver descends at a rate of 60 feet per minute. a diver dive from a ship to search for a lost ship at the depth of 3600 feet below the sea level.. how long will he take to reach the ship?
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[Assistant] 60 minutes

[User]
in a certain company, the ratio of the number of managers to the number of non - managers in any department must always be greater than 7 : 32. in the company, what is the maximum number of non - managers in a department that has 8 managers?
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[Assistant] 36

[User]
two letters from the word khantkar are selected at random. what is the probability that at least one of the selected letters is a consonant?
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[Assistant] 27 / 28

[User]
a paint store mixes 3 / 4 pint of red paint and 2 / 3 pint of white paint to make a new paint color called perfect pink. how many pints of red paint would be needed to make 30 pints of perfect pink paint?
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[Assistant] 15

[User]
a certain elevator has a safe weight limit of 2,500 pounds. what is the greatest possible number of people who can safely ride on the elevator at one time with the average ( arithmetic mean ) weight of half the riders being 180 pounds and the average weight of the others being 230 pounds?
Answer the question using a single word or phrase.

[Assistant] 12


[User]
there are 3 vessels of equal capacity. vessel a contains milk and water in the ratio 4 : 3 ; vessel b contains milk and water in the ratio 2 : 1 and vessel c contains milk and water in the ratio 3 : 2. if the mixture in all the 3 vessels is mixed up. what will be the ratio of water to milk?
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[Assistant] 122 : 193

[User]
each year for 4 years, a farmer increased the number of trees in a certain orchard by 1 / 4 of the number of trees in the orchard of the preceding year. if all of the trees thrived and there were 5625 trees in the orchard at the end of 4 year period, how many trees were in the orchard at the beginning of the 4 year period.
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[Assistant] 2304

[User]
the time it took car p to travel 800 miles was 2 hours less than the time it took car r to travel the same distance. if car p ’ s average speed was 10 miles per hour greater than that of car r, what was car r ’ s average speed, in miles per hour?
Answer the question using a single word or phrase.

[Assistant] 58

[User]
a flamboyant comic book villain has abducted a bystander! captain valiant is alerted to the crime and reaches the start of the villain's trail 30 minutes later. the villain is in a getaway car going 40 kmph, and captain valiant can fly at 50 kmph. how long will the bystander have to wait for rescue?
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[Assistant] 2 1 / 2 hours

[User]
a man can do a piece of work in 5 days, but with the help of his son, he can do it in 4 days. in what time can the son do it alone?
Answer the question using a single word or phrase.

[Assistant] 20


[User]
if a ( a + 2 ) = 120 and b ( b + 2 ) = 120, where a ≠ b, then a + b =
Answer the question using a single word or phrase.

[Assistant] - 2

[User]
a train 630 m long, running with a speed of 63 km / hr will pass a tree in?
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[Assistant] 36

[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 fraction of all the students are on the honor roll?
Answer the question using a single word or phrase.

[Assistant] 26 / 100

[User]
a basket of 1430 apples is divided equally among a group of apple lovers. if 45 people join the group, each apple lover would receive 9 apples less. how many u apples did each person get before 45 people joined the feast?
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[Assistant] 22.

[User]
what is the smallest number which when increased by 3 is divisible by 18, 70, 100 and 21?
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[Assistant] 6297


[User]
if a ( k ) = ( 2 k + 1 ) ^ k, and k = 0, what is the value of a ( a ( a ( k ) ) )?
Answer the question using a single word or phrase.

[Assistant] 343

[User]
the cricket team of 11 members is 27 yrs old & the wicket keeper is 3 yrs older. if the ages ofthese 2 are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. what is the average age of the team?
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[Assistant] 24

[User]
how many multiples of 5 are there between 1 and 89?
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[Assistant] 17

[User]
the scoring system in a certain football competition goes as follows : 3 points for victory, 1 point for a draw, and 0 points for defeat. each team plays 20 matches. if a team scored 12 points after 5 games, what is the least number of the remaining matches it has to win to reach the 40 - point mark by the end of the tournament?
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[Assistant] 7

[User]
if x is an integer and 3.134 × 10 ^ x is less than 31,000 what is the greatest possible value for x?
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[Assistant] 3


[User]
the sum of all possible two digit numbers formed from 3 different one digit natural numbers when divided by the sum of the original 3 numbers is equal to?
Answer the question using a single word or phrase.

[Assistant] 22

[User]
if a man lost 10 % by selling oranges at the rate of 18 a rupee at how many a rupee must he sell them to gain 32 %?
Answer the question using a single word or phrase.

[Assistant] 12.27

[User]
mike drives his new corvette from san francisco to las vegas, a journey of 640 miles. he drives the first half of the trip at an average rate of 80 miles per hour, but has to slow down for the second half of his journey. if the second half of the trip takes him 200 percent longer than the first half, what is his average rate z in miles per hour for the entire trip?
Answer the question using a single word or phrase.

[Assistant] z = 40.0

[User]
john is going with 10 friends on a trip to sidney for spring break. airfare and hotel costs a total of $ 12100.00 for the group of 11 friends. how much does each person have to pay for their hotel and airfare?
Answer the question using a single word or phrase.

[Assistant] $ 1100

[User]
a soccer store typically sells replica jerseys at a discount of 30 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 r percent of the list price is the lowest possible sale price?
Answer the question using a single word or phrase.

[Assistant] 40


[User]
last month, john rejected 0.5 % of the products that he inspected and jane rejected 0.7 percent of the products that she inspected. if total of 0.75 percent of the products produced last month were rejected, what fraction of the products did jane inspect?
Answer the question using a single word or phrase.

[Assistant] 5 / 4

[User]
a firm is comprised of partners and associates in a ratio of 2 : 63. if 50 more associates were hired, the ratio of partners to associates would be 1 : 34. how many partners are currently in the firm?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
a certain drink of type a is prepared by mixing 4 parts milk with 3 parts fruit juice. another drink of type b is prepared by mixing 4 parts of fruit juice and 3 parts of milk. how many liters of fruit juice must be added to 42 liters of drink a to convert it to drink b?
Answer the question using a single word or phrase.

[Assistant] 14

[User]
the ratio between the number of sheep and the number of horses at the stewar farm is 5 to 7. if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day. what is number sheep in the form??
Answer the question using a single word or phrase.

[Assistant] 40

[User]
working alone, tom finishes cleaning half the house in a third of the time it takes nick to clean the entire house alone. tom alone cleans the entire house in 6 hours. how many hours will it take nick and tom to clean the entire house if they work together?
Answer the question using a single word or phrase.

[Assistant] 3.6


[User]
of the people who responded to a market survey, 360 preferred brand x and the rest preferred brand y. if the respondents indicated a preference for brand x over brand y by ratio of 9 to 1, how many people responded to the survey?
Answer the question using a single word or phrase.

[Assistant] 400

[User]
90 litres of diesel is required to travel 600 km using a 800 cc engine. if the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 800 km using 1200 cc engine?
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[Assistant] 180 litres

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

[User]
a 470 m long train is running at a speed of 55 km / hr. it crossed a platform of length 520 m in?
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[Assistant] 64.8 sec

[User]
the ratio between the number of sheep and the number of horses at the stewar farm is 7 to 7. if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day. what is number sheep in the form??
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[Assistant] 56


[User]
gold is 10 times as heavy as water and copper is 5 times as heavy as water. in what ratio should these be mixed to get an alloy 9 times as heavy as water?
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[Assistant] 4 : 1

[User]
veena ranks 73 rd from the top in a class of 182. what is her rank from the bottom if 22 students have failed the examination?
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[Assistant] 88

[User]
what annual installment will discharge a debt of rs. 1176 due in 3 years at 12 % simple interest?
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[Assistant] 350

[User]
michelle deposited a certain sum of money in a savings account on july 1 st, 2007. she earns an 12 % interest compounded semiannually. the sum of money in the account on december 31 st, 2009 is approximately what percent of the initial deposit?
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[Assistant] 133 %

[User]
if the numerator of a fraction is increased by 50 % and denominator by 20 %, the fraction become 9 / 15. what was the original fraction?
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[Assistant] 12 / 25


[User]
every student of a certain school must take one and only one elective course. in last year, 1 / 2 of the students took p. e. as an elective, 1 / 3 of the students took theatre as an elective, and all of the other students took music. in this year, 1 / 3 of the students who took p. e. and 1 / 4 of the students who took theatre left school, other students did not leave, and no fresh student come in. what fraction of all students took p. e. or music?
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[Assistant] 2 / 3

[User]
what is the compound interest paid on a sum of rs. 1500 for the period of 2 years at 10 % per annum.
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[Assistant] 315

[User]
if sharon's weekly salary increased by 20 percent, she would earn $ 600 per week. if instead, her weekly salary were to increase by 15 percent, how much would she earn per week?
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[Assistant] rs. 575

[User]
jamshid can paint a fence in 50 percent less time than taimour can when each works alone. when they work together, they can paint the fence in 3 hours. how long would it take taimour to paint the fence alone?
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[Assistant] 9 hours

[User]
a man is walking at the rate of 9 km / hr crosses a bridge in 15 minutes. the length of the bridge is
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[Assistant] 2250 meters


[User]
how many multiples of 4 are there between 1 and 99?
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[Assistant] 24

[User]
patrick purchased 80 pencils and sold them at a loss equal to the selling price of 30 pencils. the cost of 80 pencils is how many times the selling price of 80 pencils?
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[Assistant] 1.375

[User]
a shopkeeper sold an article offering a discount of 5 % and earned a profit of 23.5 %. what would have been the percentage of profit earned if no discount was offered?
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[Assistant] 30 %

[User]
the hiker walking at a constant rate of 7 miles per hour is passed by a cyclist traveling in the same direction along the same path at 28 miles per hour. the cyclist stops to wait for the hiker 5 minutes after passing her, while the hiker continues to walk at her constant rate, how many minutes must the cyclist wait until the hiker catches up?
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[Assistant] 15

[User]
find the area of a parallelogram with base 18 cm and height 10 cm?
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[Assistant] 180


[User]
the parameter of a square is equal to the perimeter of a rectangle of length 24 cm and breadth 16 cm. find the circumference of a semicircle whose diameter is equal to the side of the square. ( round off your answer to two decimal places )
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[Assistant] 31.42 cm

[User]
a man gains 20 % by selling an article for a certain price. if the sells it at double the price, the percentage of profit will be?
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[Assistant] 140 %.

[User]
mars travels around the sun at a speed of approximately 15 miles per second. the approximate speed is how many miles per hour?
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[Assistant] 54,000

[User]
acme ’ s manufacturing costs for sets of horseshoes include a $ 12450 initial outlay, and $ 20.75 per set. they can sell the sets $ 50. if profit is revenue from sales minus manufacturing costs, and the company producessells 950 sets of horseshoes, what was their profit?
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[Assistant] $ 15337.50

[User]
the average of 9 numbers is 104. average of the first 5 of them is 99 and that of the last 5 is 100. find the 5 th number?
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[Assistant] 59


[User]
the cash realised on selling a 14 % stock is rs. 101.25, brokerage being 1 / 4 % is
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[Assistant] 101

[User]
in a 500 m race, the ratio of the speeds of two contestants a and b is 3 : 4. a has a start of 140 m. then, a wins by :
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[Assistant] 20 m

[User]
tom read a book containing 100 pages by reading the same number of pages each day. if he would have finished the book 10 days earlier by reading 30 pages a day more, how many days did tom spend reading the book?
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[Assistant] 7.68

[User]
the sum of the squares of three numbers is 241, while the sum of their products taken two at a time is 100. their sum is :
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[Assistant] 21

[User]
the speed of a boat in still water is 18 km / hr and the rate of current is 4 km / hr. the distance travelled downstream in 14 minutes is
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[Assistant] 5.1 km


[User]
the present worth of rs. 169 due in 2 years at 4 % per annum compound interest is
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[Assistant] rs. 156.25

[User]
how many positive integers less than 350 are there such that they are multiples of 17 or multiples of 18?
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[Assistant] 38

[User]
a shopkeeper bought 600 oranges and 400 bananas. he found 15 % of oranges and 8 % of bananas were rotten. find the percentage of fruits in good condition.
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[Assistant] 87.8 %

[User]
reema took a loan of rs 1800 with simple interest for as many years as the rate of interest. if she paid rs. 632 as interest at the end of the loan period, what was the rate of interest.
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[Assistant] 5.925 %

[User]
there are 15 members in a family. it takes 180 days for a women to complete the work, however man completes in 120 days. they take 17 days to complete the work if men work on alternate days and women work every third day. if all of them started together on the 1 st day, then how many men are there in the family
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[Assistant] 12


[User]
there is a train and car. the ratio between the speed of a train & a car is 16 : 15 respectively. also, a bus covered a distance of 480 km in 8 hours. the speed of the bus is 3 / 4 th of the speed of the train. how many kilometers will the car cover in 4 hours?
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[Assistant] 300

[User]
farm tax is levied on the 75 % of the cultivated land. the tax department collected total $ 3840 through the farm tax from the village of mr. william. mr. william paid only $ 480 as farm tax. the percentage of total land of mr. willam over the total taxable land of the village is :
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[Assistant] 16.667 %

[User]
what is x if 2 x - y = 14 and y = 2?
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[Assistant] 8

[User]
in what time will a train 200 m long cross an electric pole, it its speed be 216 km / hr?
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[Assistant] 3.3 sec

[User]
if t = 1 / ( 1 * 2 ) + 1 / ( 2 * 3 ) + 1 / ( 3 * 4 ) + 1 / ( 4 * 5 ) +......... 1 / [ n ( n + 1 ) ], for some positive integer n, what is the smallest value of n such that t > 097?
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[Assistant] 33