[User]
5358 x 61 =?
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[Assistant] 326838

[User]
if n = 4 ^ 11 – 4, what is the units digit of n?
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[Assistant] 0

[User]
company s produces two kinds of stereos : basic and deluxe. of the stereos produced by company s last month, 2 / 3 were basic and the rest were deluxe. if it takes 11 / 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?
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[Assistant] 11 / 21

[User]
after decreasing 24 % in the price of an article costs rs. 608. find the actual cost of an article?
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[Assistant] 800

[User]
in a zoo there are 30 penguins, 22 zebras, and 8 tigers with some zookeepers. if the total number of heads are 132 less than the number of feet, the number of zookeepers is
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[Assistant] 12


[User]
what is the greatest number of identical bouquets that can be made out of 21 white and 91 red tulips if no flowers are to be left out? ( two bouquets are identical whenever the number of red tulips in the two bouquets is equal and the number of white tulips in the two bouquets is equal )
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[Assistant] 7

[User]
what least number must be added to 1049, so that the sum is completely divisible by 25?
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[Assistant] 1

[User]
man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
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[Assistant] 30

[User]
according to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice. how many 10 - ounce cans of the concentrate are required to prepare 200 6 - ounce servings of orange juice?
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[Assistant] 30

[User]
when positive integer n is divided by positive integer j, the remainder is 14. if n / j = 213.28, what is value of j?
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[Assistant] 50


[User]
the diagonals of a rhombus are 30 cm and 12 cm. find its area?
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[Assistant] 180

[User]
if the cost price of 50 articles is equal to the selling price of 30 articles, then the gain or loss percent is?
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[Assistant] 67

[User]
a certain characteristic in a large population has a distribution that is symmetric about the mean m. if 68 percent of the distribution lies within one standard deviation d of the mean, what percent w of the distribution is less than m + d?
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[Assistant] 84 %

[User]
a man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 2.5 kmph, find his average speed for the total journey?
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[Assistant] 3.1 kmph

[User]
nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw. if the total weight of one screw and one nail is half that of 6 screws and one nail, then the total weight of 3 screws, and 3 nails is how many times that of 1.5 screws and 4.5 nails?
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[Assistant] e. 20 / 11


[User]
the average age of a class is 15.8 years. the average age of boys in the class is 16.4 years while that of girls is 15.4 years. what is the ratio of boys to girls in the class?
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[Assistant] 2 : 3

[User]
subtracting 7 % of a from a is equivalent to multiplying a by how much?
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[Assistant] 0.93

[User]
a number divided by 84 leaves remainder 57 what is the remainder when same number divided by 12
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[Assistant] 9

[User]
a children's gift store sells gift certificates in denominations of $ 3 and $ 5. the store sold'm ' $ 3 certificates and'n ' $ 5 certificates worth $ 93 on a saturday afternoon. if'm'and'n'are natural numbers, how many different values can'm'take?
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[Assistant] 6

[User]
how long will a boy take to run round a square field of side 45 meters, if he runs at the rate of 9 km / hr?
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[Assistant] 72 sec


[User]
what is the greatest positive integer w such that 3 ^ w is a factor of 9 ^ 10?
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[Assistant] w = 20

[User]
in a group of 100 people, 60 like volleyball, 50 like hockey. how many like both volleyball and hockey?
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[Assistant] 10

[User]
triathlete dan runs along a 2 - mile stretch of river and then swims back along the same route. if dan runs at a rate of 10 miles per hour and swims at a rate of 8 miles per hour, what is his average rate for the entire trip in miles per minute?
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[Assistant] 1 / 7

[User]
a train 360 m long is running at a speed of 48 km / hr. in what time will it pass a bridge 140 m long?
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[Assistant] 37.5 sec

[User]
a train covers a distance of 100 km in 1 hour. if its speed is decreased by 30 km / hr, the time taken by the car to cover the same distance will be?
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[Assistant] 1 hr 25 min


[User]
a shopkeeper sells his goods at cost price but uses a weight of 800 gm instead of kilogram weight. what is his profit percentage?
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[Assistant] 25 %

[User]
how many odd numbers between 10 and 900 are the squares of integers?
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[Assistant] 13

[User]
what is the value of x ^ 2 yz − xyz ^ 2, if x = 2, y = 1, and z = 2?
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[Assistant] 0

[User]
by selling 18 pencils for a rupee a man loses 10 %. how many for a rupee should he sell in order to gain 35 %?
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[Assistant] 12

[User]
how many pieces of 0.35 meteres can be cut from a rod 12.5 meteres long
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[Assistant] 35


[User]
in a class, 7 students like to play basketball and 5 like to play cricket. 3 students like to play on both basketball and cricket. how many students like to play basketball or cricket or both?
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[Assistant] 9

[User]
a jar contains only red, yellow, and orange marbles. if there are 3 red, 6 yellow, and 4 orange marbles, and 3 marbles are chosen from the jar at random without replacing any of them, what is the probability that 2 yellow, 1 red, and no orange marbles will be chosen?
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[Assistant] 5 / 22

[User]
jerry travels 8 miles at an average speed of 40 miles per hour, stops for 12 minutes, and then travels another 20 miles at an average speed of 60 miles per hour. what is jerry ’ s average speed, in miles per hour, for this trip?
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[Assistant] 42

[User]
8 men can dig a pit in 20 days. if a men work half as much again as a boy, then 4 men and 9 boys can dig a similar pit. fint the days for 15 boys can dig?
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[Assistant] 16

[User]
a man invests in a 16 % stock at 128. the interest obtained by him is
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[Assistant] 12.5 %


[User]
in what ratio must tea at rs. 60 per kg be mixed with tea at rs. 70 per kg so that the mixture must be worth rs. 63 per kg?
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[Assistant] 7 : 3

[User]
how many pounds of salt at 80 cents / lb must be mixed with 40 lbs of salt that costs 35 cents / lb so that a merchant will get 20 % profit by selling the mixture at 48 cents / lb?
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[Assistant] 5

[User]
how long does a train 120 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length?
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[Assistant] 52

[User]
if 2 cards are selected at random from the deck of 52 cards then what is the probability of one of the selected cards will be king and other will be 10? a deck of cards has a total of 52 cards, consisting of 4 suits ; ( spades ( black ), hearts ( red ), diamond ( red ) s, and clubs ( black ) ) ; and 13 cards including 1 king, 1 queen and 1 jack in each suit
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[Assistant] 18 / 2652

[User]
a and b are two multiples of 14, and q is the set of consecutive integers between a and b, inclusive. if q contains 10 multiples of 14, how many multiples of 7 are there in q?
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[Assistant] 19


[User]
60 persons like apple. 7 like orange and mango dislike apple. 10 like mango and apple and dislike orange. 4 like all. how many people like apple?
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[Assistant] 67

[User]
bhanu spends 30 % of his income on petrol on scooter 20 % 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] 140

[User]
the average of the first 5 multiples of 9 is :
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[Assistant] 27

[User]
13 different biology books and 8 different chemistry books lie on a shelf. in how many ways can a student pick 2 books of each type?
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[Assistant] 2184

[User]
real - estate salesman z is selling a house at a 20 percent discount from its retail price. real - estate salesman x vows to match this price, and then offers an additional 20 percent discount. real - estate salesman y decides to average the prices of salesmen z and x, then offer an additional 20 percent discount. salesman y's final price is what fraction of salesman x's final price?
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[Assistant] 29 / 32


[User]
how many integers between 100 and 160, inclusive, can not be evenly divided by 3 nor 5?
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[Assistant] 32

[User]
calculate the share of y, if rs. 690 is divided among x, y and z in the ratio 5 : 7 : 11?
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[Assistant] 150

[User]
you hold some gold in a vault as an investment. over the past year the price of gold increases by 52 %. in order to keep your gold in the vault, you must pay 6 % of the total value of the gold per year. what percentage has the value of your holdings changed by over the past year.
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[Assistant] 42.88 $

[User]
a tank contains 9,000 gallons of a solution that is 6 percent sodium chloride by volume. if 3,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
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[Assistant] 9 %

[User]
a sum fetched a total simple interest of rs. 750 at the rate of 6 p. c. p. a. in 5 years. what is the sum?
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[Assistant] 2500


[User]
in what time will a train 140 meters long cross an electric pole, if its speed is 210 km / hr
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[Assistant] 2.4 seconds

[User]
there are two cars. one is 300 miles north of the other. simultaneously, the car to the north is driven westward at 20 miles per hour and the other car is driven eastward at 60 miles per hour. how many miles apart are the cars after 5 hours?
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[Assistant] 500

[User]
an investment compounds annually at an interest rate of 34.1 % what is the smallest investment period by which time the investment will more than triple in value?
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[Assistant] 4

[User]
the cross - section of a water channel is a trapezium in shape. if the channel is 12 meters wide at the top and 6 meters wide at the bottom and the area of cross - section is 630 square meters, what is the depth of the channel ( in meters )?
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[Assistant] 70

[User]
a bicycle wheel has a diameter of 0.51 m. how many complete revolutions does it make in 1 km?
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[Assistant] 624


[User]
triangle atriangle b are similar triangles with areas 1536 units square and 1734 units square respectively. the ratio of there corresponding height would be
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[Assistant] 16 : 17

[User]
x can finish a work in 20 days. y can finish the same work in 16 days. y worked for 12 days and left the job. how many days does x alone need to finish the remaining work?
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[Assistant] 5

[User]
if the average of 10 consecutive integers is 20.5 then the 10 th integer is : -
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[Assistant] 25

[User]
sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. sandy attempts 30 sums and obtains 55 marks. how many sums did sandy get correct?
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[Assistant] 23

[User]
a sum of money is to be divided among ann, bob and chloe. first, ann receives $ 4 plus one - half of what remains. next, bob receives $ 4 plus one - third of what remains. finally, chloe receives the remaining $ 32. how much money m did bob receive?
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[Assistant] 22


[User]
in a certain apartment building, there are one - bedroom and two - bedroom apartments. the rental prices of the apartment depend on a number of factors, but on average, two - bedroom apartments have higher rental prices than do one - bedroom apartments. let m be the average rental price for all apartments in the building. if m is $ 1,000 higher than the average rental price for all one - bedroom apartments, and if the average rental price for all two - bedroom apartments is $ 9,000 higher that m, then what percentage of apartments in the building are two - bedroom apartments?
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[Assistant] 10 %

[User]
a person travels from p to q a speed of 30 km / hr and returns by increasing his speed by 30 %. what is his average speed for both the trips?
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[Assistant] 34.5

[User]
the sum of all the integers f such that - 26 < f < 24 is
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[Assistant] - 49

[User]
the average expenditure of a labourer for 6 months was 70 and he fell into debt. in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. his monthly income i
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[Assistant] 69

[User]
a student chose a number, multiplied it by 8, then subtracted 138 from the result and got 102. what was the number he chose?
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[Assistant] 30


[User]
a man has rs. 192 in the denominations of one - rupee notes, 5 - rupee notes and 10 - rupee notes. the number of notes of each denomination is equal. what is the total number of notes that he has?
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[Assistant] 36

[User]
how many gallons of milk that is 10 percent butter - fat must be added to 8 gallons of milk that is 40 percent butterfat to obtain milk that is 20 percent butterfat?
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[Assistant] 16

[User]
the price of lunch for 15 people was $ 211.00, including a 15 percent gratuity for service. what was the average price per person, excluding the gratuity?
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[Assistant] $ 12.78

[User]
how many times digit 20 is used while writing numbers from 100 to 500?
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[Assistant] 20

[User]
the average of first 6 natural numbers is?
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[Assistant] 3.5


[User]
a part - time employee ’ s hourly wage was increased by 20 %. she decided to decrease the number of hours worked per week so that her total income did not change. by approximately what percent should the number of hours worked be decreased?
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[Assistant] 17 %

[User]
madhav ranks seventeenth in a class of thirtyone. what is his rank from the last?
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[Assistant] 15

[User]
the cost of an article was rs. 75. the cost was first increased by 20 % and later on it was reduced by 20 %. the present cost of the article is :
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[Assistant] rs. 72

[User]
two trains 111 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 100 km and the other at the rate of 120 kmph. in what time will they be completely clear of each other from the moment they meet?
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[Assistant] 4.51

[User]
in how many years will a sum of money be doubled given that the annual interest on it is 10 %?
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[Assistant] 10


[User]
rectangle a has sides a and b, and rectangle b has sides c and d. if a / c = b / d = 2 / 5, what is the ratio of rectangle a ’ s area to rectangle b ’ s area?
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[Assistant] 4 / 25

[User]
if a boat is rowed downstream for 600 km in 20 hours and upstream for 48 km in 4 hours, what is the speed of the boat and the river?
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[Assistant] 21, 9

[User]
a 1200 m long train crosses a tree in 120 sec, how much time will i take to pass a platform 700 m long?
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[Assistant] 190 sec

[User]
each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. if 4 of the slips are the drawn, without replacement, what is the probability that all 4 have a even number written on it?
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[Assistant] 1 / 42

[User]
two trains start at same time from two stations and proceed towards each other at the rate of 20 km / hr and 25 km / hr respectively. when they meet, it is found that one train has traveled 70 km more than the other. what is the distance between the two stations?
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[Assistant] 630 km


[User]
the average age of 10 men increases by 2 years when two women are included in place of two men of ages 10 and 12 years. find the average age of the women?
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[Assistant] 21

[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. 35000, c receives :
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[Assistant] 8400

[User]
due to construction, the speed limit along an 6 - mile section of highway is reduced from 55 miles per hour to 35 miles per hour. approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit?
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[Assistant] 4

[User]
a, b and c invested rs. 600, rs. 800 and rs. 1200 respectively, in a partnership business. find the share of b in profit of rs. 900 after a year?
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[Assistant] 276.92

[User]
a driver would have reduced the time it took to drive from home to the store by 1 / 3 if the average speed had been increased by 21 miles per hour. what was the actual average speed, in miles per hour, when the driver drove from home to the store?
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[Assistant] 42


[User]
p works 25 % more efficiently than q and q works 50 % more efficiently than r. to complete a certain project, p alone takes 50 days less than q alone. if, in this project p alone works for 60 days and then q alone works for 135 days, in how many days can r alone complete the remaining work?
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[Assistant] 92.4 days

[User]
find a number such that when 15 is subtracted from 7 times the number, the result is 10 more than twice the number.
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[Assistant] 5

[User]
the average monthly income of a and b is rs. 4050. the average monthly income of b and c is rs. 5250 and the average monthly income of a and c is rs. 4200. what is the monthly income of a?
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[Assistant] 3000

[User]
a merchant marks his goods up by 40 % and then offers a discount of 15 % on the marked price. what % profit does the merchant make after the discount?
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[Assistant] 19 %

[User]
a rectangular grassy plot 100 m. by 70 m has a gravel path 2.5 m wide all round it on the inside. find the cost of gravelling the path at 90 paise per sq. metre.
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[Assistant] rs. 742.50


[User]
a candidate got 40 % of the votes polled and he lost to his rival by 5000 votes. how many votes were cast?
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[Assistant] 25000

[User]
two employees a and b are paid a total of rs. 560 per week by their employer. if a is paid 150 percent of the sum paid to b, how much is b paid per week?
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[Assistant] s. 224

[User]
what is the units digit of 17 ^ 83 × 13 ^ 82 × 11 ^ 87?
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[Assistant] 7

[User]
find the lowest common multiple of 10, 14 and 20.
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[Assistant] 140

[User]
3034 - ( 1002 / 200.4 ) =?
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[Assistant] 3029


[User]
if 2 x = 3 y = 10, then 6 xy =?
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[Assistant] 100

[User]
a cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.6 m and its walls are 5 cm thick. the thickness of the bottom is :
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[Assistant] 6 dm

[User]
the length of minute hand of a clock is 5.5 cm. what is the area covered by this in 10 minutes
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[Assistant] 15.83

[User]
if jake loses 8 pounds, he will weigh twice as much as his sister kendra. together they now weigh 290 pounds. what is jake ’ s present weight, in pounds?
Answer the question using a single word or phrase.

[Assistant] 196

[User]
a, b, k start from the same place and travel in the same direction at speeds of 30 km / hr, 40 km / hr, 80 km / hr respectively. b starts two hours after a. if b and k overtake a at the same instant, how many hours after a did k start?
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[Assistant] 5


[User]
in february wilson ’ s earnings were 40 percent of his family ’ s total income. in march wilson earned 25 percent less than in february. if the rest of his family ’ s income was the same in both months, then, in march, wilson ’ s earnings were approximately what percent x of his family ’ s total income?
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[Assistant] 33 %

[User]
at a garage sale, all of the items were sold at different prices. if the price of a radio sold at the garage sale was both the 16 th highest price and the 23 rd lowest price among the prices of the items sold, how many items were sold at the garage sale?
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[Assistant] 38

[User]
one hour after yolanda started walking from x to y, a distance of 52 miles, bob started walking along the same road from y to x. if yolanda's walking rate was 3 miles per hour and bob т's was 4 miles per hour, how many miles had bob walked when they met?
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[Assistant] 28

[User]
find the sum the difference between the compound and s. i. on a certain sum of money for 2 years at 10 % per annum is rs. 13 of money?
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[Assistant] 1300

[User]
30 men can do a work in 40 days. when should 10 men leave the work so that the entire work is completed in 40 days after they leave the work?
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[Assistant] 20 days


[User]
two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. if the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
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[Assistant] 12 sec

[User]
what is 990 * 990?
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[Assistant] 980,100

[User]
jill's favorite number is even and has some repeating prime factors. john is guessing jills favorite number, and the only hint she gives is that 7 is a prime factor. what is johns best guess?
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[Assistant] 84

[User]
kamal obtained 76, 65, 82, 67 and 85 marks ( out of 100 ) in english, mathematics, physics, chemistry and biology. what are his average marks?
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[Assistant] 75

[User]
find the number of factors of 180 that are in the form ( 4 * k + 2 ), where k is a non - negative integer?
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[Assistant] 6


[User]
find the curved surface area, if the radius of a cone is 28 m and slant height is 30 m?
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[Assistant] 2640

[User]
| 16 - 5 | - | 5 - 12 | =?
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[Assistant] 4

[User]
if two - third of a bucket is filled in 90 seconds then the time taken to fill the bucket completely will be.
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[Assistant] 135 seconds

[User]
the population of a town increased from 1, 75000 to 2, 62500 in a decade. what is the average percent increase of population per year?
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[Assistant] 5 %

[User]
10 men do a work in 10 days. how many men are needed to finish the work in 2 days?
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[Assistant] 50


[User]
the average age of 35 students in a class is 16 years. the average age of 21 students is 14. what is the average age of remaining 38 students?
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[Assistant] 7 years

[User]
a man can row 8 kmph in still water. if the velocity of the current is 2 kmph and it takes him 2 hours to row to a place and come back. how far is the place?
Answer the question using a single word or phrase.

[Assistant] 7.5

[User]
if x is equal to the sum of the integers from 20 to 40, inclusive, and y is the number of even integers from 20 to 40, inclusive, what is the value of x + y?
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[Assistant] 641

[User]
the hiker walking at a constant rate of 5 miles per hour is passed by a cyclist traveling in the same direction along the same path at 20 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]
a tank with a volume of 30 cubic feet has one inlet pipe and 2 outlet pipes. the inlet pipe fills water into the tank at the rate of 5 cubic inches / min and the 2 outlet pipes empty it out at the rates of 9 cubic inches / min and 8 cubic inches / min respectively. if all 3 pipes are opened when the tank is full, how many minutes does it take to empty the tank? ( 1 foot = 12 inches )
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[Assistant] 4320


[User]
a train consists of 12 boggies, each boggy 15 metres long. the train crosses a telegraph post in 9 seconds. due to some problem, three boggies were detached. the train now crosses a telegraph post in
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[Assistant] 6.75 sec

[User]
a 90 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?
Answer the question using a single word or phrase.

[Assistant] 410 meter

[User]
with a uniform speed a car covers the distance in 8 hours. had the speed been increased by 2 km / hr, the same distance could have been covered in 7 1 / 2 hours. what is the distance covered?
Answer the question using a single word or phrase.

[Assistant] 240 km

[User]
a store ’ s selling price of $ 2240 for a certain computer would yield a profit of 30 percent of the store ’ s cost for the computer. what selling price would yield a profit of 40 percent of the computer ’ s cost?
Answer the question using a single word or phrase.

[Assistant] $ 2412

[User]
three table runners have a combined area of 220 square inches. by overlapping the runners to cover 80 % of a table of area 175 square inches, the area that is covered by exactly two layers of runner is 24 square inches. what is the area of the table that is covered with three layers of runner?
Answer the question using a single word or phrase.

[Assistant] 28 square inches


[User]
the youngest of 4 children has siblings who are 2, 7, and 11 years older than she is. if the average ( arithmetic mean ) age of the 4 siblings is 25, what is the age of the youngest sibling?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
addison high school ’ s senior class has 300 boys and 240 girls. if 60 % of the boys attended the college then 60 % of the total class attended college, what percentage of the girls class attended college?
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[Assistant] 60

[User]
if 6! / 3 ^ x is an integer, what is the greatest possible value of x?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
a person walking at 10 kmph reaches his office 10 minutes late. if he walks at 15 kmph, he reaches there 10 minutes earlier. how far is the office from his house?
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[Assistant] 10 km

[User]
running at the same rate, 8 identical machines can produce 560 paperclips a minute. at this rate, how many paperclips could 18 machines produce in 6 minutes?
Answer the question using a single word or phrase.

[Assistant] 7560


[User]
two pipes a and b can fill a tank in 25 hours and 35 hours respectively. if both the pipes are opened simultaneously, how much time will be taken to fill the tank?
Answer the question using a single word or phrase.

[Assistant] 14 6 / 11 hours

[User]
tammy climbed a mountain in two days. she spent a total of 14 hours climbing the mountain. on the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. if the total distance she climbed during the two days is 52 kilometers, how many w kilometers per hour did tammy walk on the second day?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
jolene entered an 14 - month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. if each interest payment is reinvested in the contract, and jolene invested $ 10,000 initially, what will be the total amount of interest paid during the 18 - month contract?
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[Assistant] $ 506.00

[User]
the diagonals of a rhombus are 10 cm and 15 cm. find its area?
Answer the question using a single word or phrase.

[Assistant] 75

[User]
in a can, there is a mixture of milk and water in the ratio 1 : 5. if it is filled with an additional 2 litres of milk the can would be full and ratio of milk and water would become 3 : 5. find the capacity of the can?
Answer the question using a single word or phrase.

[Assistant] 8


[User]
each child has 6 crayons and 12 apples. if there are 12 children, how many crayons are there in total?
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[Assistant] 72

[User]
in a certain school, the ratio of boys to girls is 5 to 17. if there are 72 more girls than boys, how many boys are there?
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[Assistant] 108

[User]
a car takes 8 hours to cover a distance of 540 km. how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time?
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[Assistant] 45 kmph

[User]
in a room with 7 people, 4 people have exactly 1 friend in the room and 3 people have exactly 2 friends in the room ( assuming that friendship is a mutual relationship, i. e. if jane is paul's friend, paul is jane's friend ). if two individuals are selected from the room at random, what is the probability that those two individuals are not friends?
Answer the question using a single word or phrase.

[Assistant] 16 / 21

[User]
assisants are needed to prepare for preparation. each helper can make either 2 large cakes or 35 small cakes / hour. the kitchen is available for 3 hours and 20 large cakes and 700 small cakes are needed. how many helpers are required?
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[Assistant] 10


[User]
if the perimeter of a rectangular park is 1000 m, its length when its breadth is 200 m is?
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[Assistant] 300

[User]
a boat running upstream takes 640 min to cover a certain distance, while it takes 280 min to cover the same distance running down stream. what is the ratio between the speed of the boat and speed of water current respectively?
Answer the question using a single word or phrase.

[Assistant] 23 : 9

[User]
f ( 1 ) = 1, where f ( x + y ) = f ( x ) + f ( y ) + 8 xy - 2. then f ( 7 ) =?
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[Assistant] 163

[User]
what is the largest possible value of cc if 5 c + ( d − 12 ) ^ 2 = 235?
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[Assistant] 47

[User]
find the cost of fencing around a circular field of diameter 35 m at the rate of rs. 1.50 a meter?
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[Assistant] 115.5


[User]
the sum of all two digit numbers divisible by 5 is
Answer the question using a single word or phrase.

[Assistant] 945

[User]
at the faculty of aerospace engineering, 312 students study random - processing methods, 222 students study scramjet rocket engines and 112 students study them both. if every student in the faculty has to study one of the two subjects, how many students are there in the faculty of aerospace engineering?
Answer the question using a single word or phrase.

[Assistant] 422

[User]
a, b and c started a business with capitals of rs. 8000, rs. 10000 and rs. 12000 respectively. at the end of the year, the profit share of b is rs. 1700. the difference between the profit shares of a and c is?
Answer the question using a single word or phrase.

[Assistant] 680

[User]
if the operation ø is defined for all positive integers x and w by x ø w = ( 2 ^ x ) / ( 2 ^ w ) then ( 4 ø 2 ) ø 2 =?
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[Assistant] 4

[User]
a rectangular floor is covered by a rug except for a strip 3 meters wide along each of the four edge. if the floor is 12 meters by 10 meters, what is the area of the rug in square meters?
Answer the question using a single word or phrase.

[Assistant] 24


[User]
if x, y, and z are positive integers, and 2 x = 5 y = 7 z, then the least possible value of x + y + z is
Answer the question using a single word or phrase.

[Assistant] 59

[User]
on a trip, a cyclist averaged 8 miles per hour for the first 16 miles and 10 miles per hour for the remaining 16 miles. if the cyclist returned immediately via the same route and took a total of 6.8 hours for the round trip, what was the average speed ( in miles per hour ) for the return trip?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
for how many unique pairs of nonnegative integers { a, b } is the equation a ^ 2 - b ^ 2 = 235 true?
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[Assistant] 2

[User]
on dividing a number by 999, the quotient is 366 and the remainder is 103. the number is :
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[Assistant] 365737

[User]
one - third less than 20 % of 180 is equal to :
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[Assistant] 24


[User]
the area of a square field is 576 km 2. how long will it take for a horse to run around at the speed of 12 km / h?
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[Assistant] 8 h

[User]
a and b complete a work in 6 days. a can alone can do it in 10 days. if both can together can do the work in how many days?
Answer the question using a single word or phrase.

[Assistant] 3.75

[User]
suppose you work for a manufacturing plant that pays you $ 12.50 an hour plus $ 0.16 for each widget you make. how many widgets must you produce in a 40 hour week to earn $ 620 ( before payroll deductions )?
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[Assistant] 750

[User]
what is the distance covered by a car if it travels with a speed of 160 kmh for 5 hours?
Answer the question using a single word or phrase.

[Assistant] 800 km

[User]
a cricketer scored 132 runs which included 12 boundaries and 2 sixes. what percent of his total score did he make by running between the wickets.
Answer the question using a single word or phrase.

[Assistant] 54.54 %


[User]
a can do a piece of work in 80 days and b in 100 days. they work together for 20 days and then b goes away. in how many days will a finish the remaining work?
Answer the question using a single word or phrase.

[Assistant] 44 days

[User]
pumps a, b, and c operate at their respective constant rates. pumps a and b, operating simultaneously, can fill a certain tank in 6 / 5 hours ; pumps a and c, operating simultaneously, can fill the tank in 3 / 2 hours ; and pumps b and c, operating simultaneously, can fill the tank in 1 hours. how many hours does it take pumps a, b, and c, operating simultaneously, to fill the tank.
Answer the question using a single word or phrase.

[Assistant] 37 / 20

[User]
the marks obtained by polly and sandy are in the ratio 4 : 5 and those obtained by sandy and willy are in the ratio of 5 : 2. the marks obtained by polly and willy are in the ratio of...?
Answer the question using a single word or phrase.

[Assistant] 2 : 1

[User]
in a certain supermarket, a triangular display of cans is arranged in 9 rows, numbered 1 through 9 from top to bottom. each successively numbered row contains 3 more cans than the row immediately above it. if there are fewer than 120 cans in the entire display, how many cans are in the six row?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
a man's regular pay is $ 3 per hour up to 40 hours. overtime is twice the payment for regular time. if he was paid $ 168, how many hours overtime did he work?
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[Assistant] 8


[User]
if a is thrice as fast as b and together can do a work in 21 days. in how many days a alone can do the work?
Answer the question using a single word or phrase.

[Assistant] 28

[User]
if the number 98348 * 0 is exactly divisible by 72, then the minimum value of * is?
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[Assistant] 4

[User]
at a local appliance manufacturing facility, the workers received a 20 % hourly pay raise due to extraordinary performance. if one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?
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[Assistant] 17 %

[User]
a reduction of 12 % in the price of oil enables a house wife to obtain 6 kgs more for rs. 1200, what is the reduced price for kg?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
dick and jane each saved $ 3,000 in 1989. in 1990 dick saved 8 percent more than in 1989, and together he and jane saved a total of $ 5,000. approximately what percent less did jane save in 1990 than in 1989?
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[Assistant] 41 %


[User]
the average of temperatures at noontime from monday to friday is 40 ; the lowest one is 30, what is the possible maximum range of the temperatures?
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[Assistant] 50

[User]
a card is drawn from a pack of 52 cards. the probability of getting a queen of spade or an ace of club is :
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[Assistant] 1 / 26

[User]
in a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. the purple chips are worth more than the green chips, but less than the red chips. a certain number of chips are then selected from the bag. if the product of the point values of the selected chips is 11,000, how many purple chips were selected?
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[Assistant] 1

[User]
find large number from below question the difference of two numbers is 1370. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
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[Assistant] 1641

[User]
a, b and c started a partnership business by investing rs. 8000, rs. 4000, rs. 2000 respectively. at the end of the year, the profit were distributed among them. if c's share of profit is 36000, what is the total profit?
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[Assistant] 252000


[User]
find the area of the quadrilateral of one of its diagonals is 24 cm and its off sets 9 cm and 6 cm?
Answer the question using a single word or phrase.

[Assistant] 180 cm 2

[User]
the average monthly salary of 18 employees in an organisation is rs. 2000. if the manager's salary is added, then the average salary increases by rs. 200. what is the manager's monthly salary?
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[Assistant] rs. 5800

[User]
what is the leastvalue of x. so that 23 x 57 is divisible by 3?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
a, b and c started a business with capitals of rs. 8000, rs. 10000 and rs. 12000 respectively. at the end of the year, the profit share of b is rs. 4000. the difference between the profit shares of a and c is?
Answer the question using a single word or phrase.

[Assistant] 1600

[User]
in an election between the two candidates, the candidates who gets 70 % of votes polled is winned by 320 vote ’ s majority. what is the total number of votes polled?
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[Assistant] 800


[User]
what least number must be added to 1100, so that the sum is completely divisible by 23?
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[Assistant] 4

[User]
( 3136 + 6160 ) / 28
Answer the question using a single word or phrase.

[Assistant] 332

[User]
a train 280 m long, running with a speed of 72 km / hr will pass a tree in
Answer the question using a single word or phrase.

[Assistant] 14 sec

[User]
a man swims downstream 24 km and upstream 12 km taking 6 hours each time, what is the speed of the man in still water?
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[Assistant] 3

[User]
s is a set of 45 consecutive multiples of 5. if the smallest number in s is 55, then the greatest number in s is
Answer the question using a single word or phrase.

[Assistant] 275


[User]
the sum of ages of 6 children born at the intervals of 3 years each is 75 years. what is the age of the youngest child?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
the sum of three consecutive integers is 312. what is the sum of the next three consecutive integers?
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[Assistant] 321

[User]
a can fill tank in 9 minutes, b can empty the tank in 18 minutes.. in what time the tank be filled, if both pipes work simultaneously?
Answer the question using a single word or phrase.

[Assistant] 18 minutes

[User]
if you spend 1 / 4 of your salary during the first week of the month and 20 % of it during each of the coming 3 weeks, what part ( fraction ) of your salary will leave unspent at the end of the month?
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[Assistant] 3 / 20

[User]
find the l. c. m of 16, 25, 24 and 10.
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[Assistant] 1200


[User]
a bag contains 6 green and 8 white balls. if two balls are drawn simultaneously, the probability that both are of the same colour is
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[Assistant] 43 / 91

[User]
in an election between two candidates, one got 55 % of the total valid votes, 20 % of the votes were invalid. if the total number of votes was 2000, the number of valid votes that the other candidate got, was :
Answer the question using a single word or phrase.

[Assistant] 900

[User]
a man â € ™ s current age is ( 2 / 5 ) of the age of his father. after 14 years, he will be ( 1 / 2 ) of the age of his father. what is the age of father at now?
Answer the question using a single word or phrase.

[Assistant] 70

[User]
at a certain committee meeting only associate professors and assistant professors are present. each associate professor has brought 2 pencils and 1 chart to the meeting, while each assistant professor has brought 1 pencil and 2 charts. if a total of 10 pencils and 5 charts have been brought to the meeting, how many people are present?
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[Assistant] 5

[User]
a set of consecutive positive integers beginning with 1 is written on the blackboard. a student came along and erased one number. the average of the remaining numbers is 35 7 / 17. what was the number erased?
Answer the question using a single word or phrase.

[Assistant] seven 7


[User]
a rectangular photograph is surrounded by a border that is 1 inch wide on each side. the total area of the photograph and the border is m square inches. if the border had been 4 inches wide on each side, the total area would have been ( m + 90 ) square inches. what is the perimeter of the photograph, in inches?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
manoj borrowed rs. 3900 from anwar at 6 % p. a. simple interest for 3 years. he then added some more money to the borrowed sum and lent it to ramu for the same time at 9 % p. a. simple interest. if manoj gains rs. 824.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction, then what is the sum lent by him to ramu?
Answer the question using a single word or phrase.

[Assistant] 5655

[User]
two trains are moving in opposite directions at 60 km / hr and 90 km / hr. their lengths are 2.10 km and 1.4 km respectively. the time taken by the slower train to cross the faster train in seconds is?
Answer the question using a single word or phrase.

[Assistant] 84

[User]
the arithmetic mean and standard deviation of a certain normal distribution are 10.5 and 1, respectively. what value is exactly 2 standard deviations less than the mean?
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[Assistant] 8.5

[User]
if albert ’ s monthly earnings rise by 20 %, he would earn $ 560. if, instead, his earnings rise by only 21 %, how much ( in $ ) would he earn this month?
Answer the question using a single word or phrase.

[Assistant] 564


[User]
a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store, at the end of one month the number of total items sold increases 30 %. their gross income from sales for one month increases by what percent?
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[Assistant] 17 %

[User]
324 ã ·? ã — 15 + 270 = 405
Answer the question using a single word or phrase.

[Assistant] 36

[User]
the cash difference between the selling prices of an article at a profit of 4 % and 6 % is rs. 3. the ratio of the two selling prices is?
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[Assistant] 52 : 53

[User]
a football team lost 5 yards and then gained 9. what is the team's progress?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
in expressing a length 810472 km as nearly as possible with 3 significant digits, find the percentage error.
Answer the question using a single word or phrase.

[Assistant] 0.034


[User]
the amount of an investment will double in approximately 70 / p years, where p is the percent interest, compounded annually. if thelma invests $ 40,000 in a long - term cd that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when thelma is ready to retire 42 years later?
Answer the question using a single word or phrase.

[Assistant] $ 320,000

[User]
140 college students were asked in a survey if they preferred windows or mac brand computers. 80 students claimed that they preferred mac to windows brand computers. one third as many of the students who preferred mac to windows, equally preferred both brands. 50 of the students had no preference. how many of the students in the survey preferred windows to mac brand computers?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
there are 5 more women than there are men on a local co - ed softball team. if there are a total of 15 players on the team, what is the ratio of men to women?
Answer the question using a single word or phrase.

[Assistant] 5 / 10

[User]
each factor of 210 is inscribed on its own plastic ball, and all of the balls are placed in a jar. if a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 42?
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[Assistant] 1 / 8

[User]
a can do a work in 3 days. b can do in 6 days. if both a & b are working together in how many days they can finish the work?
Answer the question using a single word or phrase.

[Assistant] 2


[User]
the population of a village is 6000. it decreases annually at the rate of 10 % p. a. what will be its population after 2 years?
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[Assistant] 4860

[User]
what is the value of 3 x ^ 2 − 2 x + 0.3 for x = 0.5?
Answer the question using a single word or phrase.

[Assistant] 0.05

[User]
excluding the stoppages, the speed of a bus is 64 km / hr and including the stoppages the speed of the bus is 48 km / hr. for how many minutes does the bus stop per hour?
Answer the question using a single word or phrase.

[Assistant] 15 min

[User]
an analysis of the monthly incentives received by 5 salesmen : the mean and median of the incentives is $ 7000. the only mode among the observations is $ 12000. incentives paid to each salesman were in full thousands. what is the difference z between the highest and the lowest incentive received by the 5 salesmen in the month?
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[Assistant] $ 11000

[User]
6000, 1200, 300, 60...
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[Assistant] 15


[User]
the ratio of 2 numbers is 10 : 20 and their h. c. f. is 100. their l. c. m. is?
Answer the question using a single word or phrase.

[Assistant] 2000

[User]
if the numbers 1 to 97 are written on 97 pieces of paper, ( one on each ) and one piece is picked at random, then what is the probability that the number drawn is neither prime nor composite?
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[Assistant] 1 / 97

[User]
3.5 can be expressed in terms of percentage as?
Answer the question using a single word or phrase.

[Assistant] 350 %

[User]
a rectangular photograph is surrounded by a border that is 2 inch wide on each side. the total area of the photograph and the border is m square inches. if the border had been 4 inches wide on each side, the total area would have been ( m + 94 ) square inches. what is the perimeter of the photograph, in inches?
Answer the question using a single word or phrase.

[Assistant] 23

[User]
the average of 10 numbers is calculated as 16. it is discovered later on that while calculating the average, the number 35 was incorrectly read as 25, and this incorrect number was used in the calculation. what is the correct average?
Answer the question using a single word or phrase.

[Assistant] 17


[User]
a gambler bought $ 4,000 worth of chips at a casino in denominations of $ 20 and $ 100. that evening, the gambler lost 16 chips, and then cashed in the remainder. if the number of $ 20 chips lost was 2 more or 2 less than the number of $ 100 chips lost, what is the largest amount of money that the gambler could have received back?
Answer the question using a single word or phrase.

[Assistant] $ 3,120

[User]
there are 600 employees in a room. 99 % are managers. how many managers must leave the room to bring down the percentage of managers to 98 %?
Answer the question using a single word or phrase.

[Assistant] 300

[User]
when 3 fair coins are tossed together, what is the probability of getting 2 tails?
Answer the question using a single word or phrase.

[Assistant] 1 / 2

[User]
the ratio of two cow a, b milk is 5 : 3.3 kg milk of cow a get distributed and 1 kg milk of cow b get distributed. now, 8 kg milk of cow b left. now what is the ratio of cow a and b left milk?
Answer the question using a single word or phrase.

[Assistant] 3 : 2

[User]
a tank is filled by 3 pipes a, b, c in 8 hours. pipe c is twice as fast as b and b is twice as fast as a. how much will pipe a alone take to fill the tank?
Answer the question using a single word or phrase.

[Assistant] 56 hr


[User]
a car travels at a speed of 75 miles per hour. how far will it travel in 5 hours?
Answer the question using a single word or phrase.

[Assistant] 375 miles

[User]
angelina walked 150 meters from her home to the grocery at a constant speed. she then walked 200 meters to the gym at double the speed. she spent 10 seconds less on her way from the grocery to the gym than on her way from home to the grocery. what was angelina's speed, in meters per second, from the grocery to the gym?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
a cylinder of height h is 5 / 6 of water. when all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder, the new cylinder is 3 / 5 full. the height of the new cylinder is what percent of h?
Answer the question using a single word or phrase.

[Assistant] 72 %

[User]
a library has an average of 510 visitors on sundays and 240 on other days. the average number of visitors per day in a month of 30 days beginning with a sunday is?
Answer the question using a single word or phrase.

[Assistant] 285

[User]
a train running at the speed of 30 km / hr crosses a pole in 9 seconds. find the length of the train?
Answer the question using a single word or phrase.

[Assistant] 75


[User]
if 8 men or 12 women can do a piece of work in 15 days, in how many days can the same work be done by 6 men and 11 women?
Answer the question using a single word or phrase.

[Assistant] 9 days

[User]
a train 200 m long running at 72 kmph crosses a platform in 25 sec. what is the length of the platform?
Answer the question using a single word or phrase.

[Assistant] 300 m

[User]
what is the rate percent when the simple interest on rs. 9100 amount to rs. 455 in 3 years?
Answer the question using a single word or phrase.

[Assistant] 3.7 %

[User]
the length of a train and that of a platform are equal. if with a speed of 126 k / hr, the train crosses the platform in one minute, then the length of the train ( in meters ) is?
Answer the question using a single word or phrase.

[Assistant] 1050

[User]
laura took out a charge account at the general store and agreed to pay 7 % simple annual interest. if she charges $ 35 on her account in january, how much will she owe a year later, assuming she does not make any additional charges or payments?
Answer the question using a single word or phrase.

[Assistant] $ 37.45


[User]
a dishonest dealer professes to sell goods at the cost price but uses a weight of 852 grams per kg, what is his percent?
Answer the question using a single word or phrase.

[Assistant] 17.37 %

[User]
a man walks at a rate of 10 mph. after every ten miles, he rests for 6 minutes. how much time does he take to walk 60 miles?
Answer the question using a single word or phrase.

[Assistant] 390

[User]
the difference between compound interest and simple interest on a certain amount of money at 5 % per annum for 2 years is 15. find the sum :
Answer the question using a single word or phrase.

[Assistant] 6000

[User]
r is the set of positive odd integers less than 40, and s is the set of the squares of the integers in r. how many elements does the intersection of r and s contain?
Answer the question using a single word or phrase.

[Assistant] three

[User]
10 is subtracted from 50 % of a number, the result is 25. find the number?
Answer the question using a single word or phrase.

[Assistant] 70


[User]
a bag holds 3 red marbles and 3 green marbles. if you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be red?
Answer the question using a single word or phrase.

[Assistant] 1 / 5

[User]
a cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 5 hours. if both the taps are opened simultaneously, then after how much time will the cistern get filled?
Answer the question using a single word or phrase.

[Assistant] 7.5 hrs

[User]
the value of a machine depreciates at 20 % per annum. if its present value is rs. 1, 50,000, at what price should it be sold after two years such that a profit of rs. 24,000 is made?
Answer the question using a single word or phrase.

[Assistant] 120000

[User]
a tank can supply water to a village for 100 days. if a leak at the bottom of the tank drains out 10 liters per day, the supply lasts for 75 days only. for how many days will the supply last if the leak drains out 20 liters per day?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
if x + y = 2 x + 2 z, x - 2 y = 2 z and x + y + z = 21, what is the value of y / z?
Answer the question using a single word or phrase.

[Assistant] - 4.


[User]
a 300 meter long train crosses a platform in 36 seconds while it crosses a signal pole in 18 seconds. what is the length of the platform?
Answer the question using a single word or phrase.

[Assistant] 300 m

[User]
the ratio of pens to pencils is 5 to 6. there are 9 more pencils than pens. how many pencils are there?
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[Assistant] 54

[User]
the area of a rectangular field is equal to 300 square meters. its perimeter is equal to 70 meters. find the width of this rectangle.
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[Assistant] 15

[User]
if the average of 10 digits is 80 and the average of 6 of them is 58, calculate the average of the remaining 4 numbers?
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[Assistant] 113

[User]
1 / 2 is what percent of 1 / 3
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[Assistant] 150 %


[User]
39 persons can repair a road in 12 days, working 5 hours a day. in how many days will 30 persons, working 6 hours a day, complete the work?
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[Assistant] 13

[User]
2 : 3 : : 23 :?
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[Assistant] 29

[User]
the radius of a wheel is 22.4 cm. what is the distance covered by the wheel in making 300 resolutions.
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[Assistant] 422 m

[User]
the ratio between x and y is 7 / 9 ; x is increased by 4 and y is decreased by 4, what is the ratio between the new values of x and y?
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[Assistant] it can not be determined

[User]
an outlet pipe empties a tank which is full in 10 hours. if the inlet pipe is kept open, which lets liquid in at the rate of 8 litres / min then outlet pipe would take 6 hours longer. find the capacity of the tank.
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[Assistant] 12800 litres


[User]
karen places a bet with tom that she will beat tom in a car race by 4 miles even if karen starts 4 minutes late. assuming that karen drives at an average speed of 60 mph and tom drives at an average speed of 45 mph, how many y miles will tom drive before karen wins the bet?
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[Assistant] 24

[User]
( 3108 + 6160 ) / 28
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[Assistant] 331

[User]
for a certain art exhibit, a museum sold admission tickets to a group of 30 people every 5 minutes from 9 : 00 in the morning to 5 : 55 in the afternoon, inclusive. the price of a regular admission ticket was $ 8 and the price of a student ticket was $ 4. if on one day 3 times as many regular admission tickets were sold as student tickets, what was the total revenue from ticket sales that day?
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[Assistant] $ 22680

[User]
a train ride from two p to town q costs $ 6.85 more than does a bus ride from town p to town q. together, the cost of one train ride and one bus ride is $ 9.85. what is the cost of a bus ride from town p to town q?
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[Assistant] $ 1.50

[User]
compound x contains elements a and b at an approximate ratio, by weight, of 2 : 10. approximately how many grams of element b are there in 222 grams of compound x?
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[Assistant] 185


[User]
a train 100 m long is running at a speed of 68 kmph. how long does it take to pass a man who is running at 8 kmph in the same direction as the train?
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[Assistant] 6 sec

[User]
how many multiples of 8 are less than 1600, and also multiples of 64?
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[Assistant] 25

[User]
what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 50?
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[Assistant] 100

[User]
find k if 32 / k = 4.
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[Assistant] 8

[User]
exactly 3 / 7 of the people in the room are under the age of 21, and exactly 5 / 14 of the people in the room are over the age of 65. if the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21?
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[Assistant] 42


[User]
in a group of ducks and cows, the total number of legs are 36 more than twice the number of heads. find the total number of cows.
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[Assistant] 18

[User]
the radius of a semi circle is 6.6 cm then its perimeter is?
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[Assistant] 33.9

[User]
the total age of a and b is 12 years more than the total age of b and c. c is how many years younger than a.?
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[Assistant] 12

[User]
a polling company surveyed a certain country, and it found that 35 % of that country ’ s registered voters had an unfavorable impression of both of that state ’ s major political parties and that 20 % had a favorable impression only of party w. if one registered voter has a favorable impression of both parties for every two registered voters who have a favorable impression only of party b, then what percentage of the country ’ s registered voters have a favorable impression of both parties ( assuming that respondents to the poll were given a choice between favorable and unfavorable impressions only )?
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[Assistant] 15

[User]
pipe a fills a tank in 6 minutes. pipe b can fill the same tank 2 times as fast as pipe a. if both the pipes are kept open when the tank is empty, how many minutes will it take to fill the tank?
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[Assistant] 2.0


[User]
the average salary of a person for the months of january, february, march and april is rs. 8000 and that for the months february, march, april and may is rs. 8600. if his salary for the month of may is rs. 6500, find his salary for the month of january?
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[Assistant] s. 4100

[User]
what is the tens digit of 7 ^ 545?
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[Assistant] 0

[User]
set a consists of all the prime numbers between 6 and 42. what is the range of set a?
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[Assistant] 34

[User]
a certain elevator has a safe weight limit of 2000 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 200 pounds and the average weight of the others being 230 pounds?
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[Assistant] 9

[User]
a can do a particular work in 6 days. b can do the same work in 8 days. a and b signed to do it for rs. 3360. they completed the work in 3 days with the help of c. how much is to be paid to c?
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[Assistant] s. 420


[User]
90 is increased by 50 %. find the final number.
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[Assistant] 135

[User]
rahim bought 55 books for rs. 1500 from one shop and 60 books for rs. 340 from another. what is the average price he paid per book?
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[Assistant] s. 16

[User]
the average of 10 numbers was calculated as 16. it is discovered later on that while calculating the average, one number, namely 46, was incorrectly read as 26. what is the correct average?
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[Assistant] 18

[User]
a taxi company charges $ 1.25 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. what is the maximum distance someone could travel with $ 4.90?
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[Assistant] 6 1 / 3 miles

[User]
a can complete a project in 20 days and b can complete the same project in 30 days. if a and b start working on the project together and a quits 10 days before the project is completed, in how many days will the project be completed?
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[Assistant] 18 days


[User]
60 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] 120 litres

[User]
what is the remainder when 8 ^ 714 is divided by 5?
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[Assistant] 4

[User]
20.20 / 2000 is equal to :
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[Assistant] 0.013466667

[User]
a bus trip of 450 miles would have taken 1 hour less if the average speed s for the trip had been greater by 5 miles per hour. what was the average speed s, in miles per hour, for the trip?
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[Assistant] 45

[User]
an equal number of desks and bookcases are to be placed along a library wall that is 15 meters long. each desk is 2 meters long, and each bookshelf is 1.5 meters long. if the maximum possible number of desks and bookcases are to be placed along the wall, then the space along the wall that is left over will be how many meters w long?
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[Assistant] 1


[User]
what is the remainder when 1271 * 1275 * 1277 * 1289 is divided by 12?
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[Assistant] 9

[User]
a man sitting in a train which is traveling at 56 kmph observes that a goods train, traveling in opposite direction, takes 15 seconds to pass him. if the goods train is 410 m long, find its speed
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[Assistant] 42 kmph

[User]
a trader marked the selling price of an article at 12 % above the cost price. at the time of selling, he allows certain discount and suffers a loss of 1 %. he allowed a discount of :
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[Assistant] 9.8

[User]
in a river flowing at 2 km / hr, a boat travels 64 km upstream and then returns downstream to the starting point. if its speed in still water be 6 km / hr, find the total journey time.
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[Assistant] 24 hours

[User]
( 128.5 x 32 ) + ( 13.8 x 30 ) =? x 25
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[Assistant] 181.04


[User]
if ( m - 8 ) is a factor of m ^ 2 - pm - 24, then p =
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[Assistant] 5

[User]
you and your friend spent a total of $ 15 for lunch. your friend spent $ 1 more than you. how much did your friend spend on their lunch?
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[Assistant] $ 8

[User]
how many multiples of 4 are there between 8 and 160?
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[Assistant] 37

[User]
√ 7 percent of 7 √ 7 =
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[Assistant] 0.45

[User]
harold works at a resort from the beginning of march to the end of september. during the month of august this past year, he made 7 times the average ( arithmetic mean ) of his monthly totals in tips for the other months. his total tips for august were what fraction of his total tips for all of the months he worked?
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[Assistant] 7 / 13


[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 total time it takes maxwell before he meets up with brad?
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[Assistant] 6

[User]
tom read a book containing 480 pages by reading the same number of pages each day. if he would have finished the book 5 days extra by reading 10 pages a day less, how many days did tom spend reading the book?
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[Assistant] 13.19

[User]
what are the total number of divisors of 600 ( including 1 and 600 )?
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[Assistant] 24

[User]
the overall ages of kumar, hathim and rahul is 93 years. 1 decade ago, the ratio of their ages was 2 : 3 : 4. what is the current age of rahul?
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[Assistant] 38

[User]
a gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. if there are 2 rows or 7 rows or 9 rows, then no tree will be left. find the least number of trees required
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[Assistant] 126


[User]
set # 1 = { a, b } set # 2 = { k, l, m, n, o, p } there are these two sets of letters, and you are going to pick exactly one letter from each set. what is the probability of picking at least one vowel?
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[Assistant] 7 / 12

[User]
in a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates ( - 7, 1 ), ( 1, 1 ), ( 1, - 6 ) and ( - 7, - 6 )?
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[Assistant] 56

[User]
in digging a pond 20 m * 12 m * 5 m the volumes of the soil extracted will be?
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[Assistant] 1200

[User]
how many times digit 7 is used while writing numbers from 1 to 300?
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[Assistant] 42

[User]
define a = the sum of digits of the number 7 ^ 100 and b = the sum of the digits of a. what is the sum of the digits of b?
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[Assistant] 7


[User]
the area of a square is equal to three times the area of a rectangle of dimensions 25 cm * 27 cm. what is the perimeter of the square?
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[Assistant] 180 cm

[User]
an optometrist charges $ 150 per pair for soft contact lenses and $ 85 per pair for hard contact lenses. last week she sold 5 more pairs of soft lenses than hard lenses. if her total sales for pairs of contact lenses last week were $ 1,925, what was the total number of pairs of contact lenses that she sold?
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[Assistant] 15

[User]
how many zeros does 1000! end with?
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[Assistant] 249

[User]
train e and f, 455 miles apart, are traveling toward each other at constant rates and in the same time zone. if train e left at 4 pm traveling at a speed of 60 miles per hour, and train f left at 5 : 45 pm and traveling at 45 miles per hour, then at what time would they pass each other?
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[Assistant] 9.05 pm

[User]
in the xy - plane, the point ( 1, 3 ) is the center of a circle. the point ( - 2, 3 ) lies inside the circle and the point ( 1, - 2 ) lies outside the circle. if the radius r of the circle is an integer, then r =
Answer the question using a single word or phrase.

[Assistant] 4


[User]
the ratio by weight, measured in pounds, of books to clothes to electronics in a suitcase initially stands at 7 : 5 : 3. someone removes 5 pounds of clothing from the suitcase, thereby doubling the ratio of books to clothes. how many pounds do the electronics in the suitcase weigh?
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[Assistant] 6

[User]
when 2 / 9 of the votes on a certain resolution have been counted, 3 / 4 of those counted are in favor of the resolution. what fraction w of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?
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[Assistant] 11 / 14

[User]
the total age of a and b is 17 years more than the total age of b and c. c is how many years younger than a?
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[Assistant] 17

[User]
a 600 meter long train crosses a signal post in 15 seconds. how long will it take to cross a 3 kilometer long bridge, at the same speed?
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[Assistant] 1.5 min

[User]
a total of $ 20,000 was invested in two certificates of deposit at simple annual interest rates of 3 percent and 6 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] 21 / 25


[User]
if a = ( 10 ^ 10 ) - 47, what is the sum of all the digit of a?
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[Assistant] 80

[User]
two sets of 7 consecutive positive integers have exactly one integer in common. the sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set?
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[Assistant] 42

[User]
12. what is the dividend. divisor 17, the quotient is 9 and the remainder is 9.
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[Assistant] 162

[User]
a boat can travel with a speed of 13 km / hr in still water. if the speed of the stream is 4 km / hr. find the time taken by the boat to go 68 km downstream?
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[Assistant] 4 hours

[User]
find the cost of fencing around a circular field of diameter 42 m at the rate of rs. 3 a meter?
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[Assistant] 393


[User]
fresh grapes contain 65 % by weight while dried grapes contain 10 % water by weight. what is the weight of dry grapes available from 400 kg of fresh grapes?
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[Assistant] 155.55 kg

[User]
in a fuel station the service costs $ 2.20 per vehicle and every liter of fuel costs $ 0.70. assuming that you fill up 4 mini - vans and 2 trucks, what will be the total cost, if a mini - van's tank is 65 liters and a truck's tank is 120 % bigger and they are all empty?
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[Assistant] $ 395.40

[User]
a group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 7 with 4 students left over. what is the sum of the two smallest possible values of n?
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[Assistant] 78

[User]
if an integer n is to be chosen at random from the integers 1 to 84, inclusive, what is the probability that n ( n + 1 ) ( n + 2 ) will be divisible by 8?
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[Assistant] 9 / 14

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


[User]
a man rows his boat 95 km downstream and 60 km upstream, taking 2 hours each time. find the speed of the stream?
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[Assistant] 9 kmph

[User]
a shopkeeper bought 600 oranges and 400 bananas. he found 15 % of oranges and 6 % of bananas were rotten. find the percentage of fruits in good condition?
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[Assistant] 88.6 %

[User]
if a farmer sells 20 of his chickens, his stock of feed will last for 3 more days than planned, but if he buys 15 more chickens, he will run out of feed 4 days earlier than planned. if no chickens are sold or bought, the farmer will be exactly on schedule. how many chickens does the farmer have?
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[Assistant] 60

[User]
which number can we add to 987654 to get a number exactly divisible by 456?
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[Assistant] 42

[User]
if 25 % of a number is subtracted from a second number, the second number reduces to its 4 - sixth. what is the ratio of the first number to the second number?
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[Assistant] 4 : 3


[User]
the weight of a glass of jar is 10 % of the weight of the jar filled with coffee beans. after some of the beans have been removed, the weight of the jar and the remaining beans is 60 % of the original total weight. what fraction part of the beans remain in the jar?
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[Assistant] 5 / 9

[User]
the length of a room is 5.5 m and width is 3.75 m. what is the cost of paying the floor by slabs at the rate of rs. 800 per sq. metre.
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[Assistant] 16500

[User]
the sum of the even numbers between 1 and n is 105 * 106, where n is an odd number, then n =?
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[Assistant] 211

[User]
in township k each property is taxed at 8 percent of its assessed value. if the assessed value of a property in township k is increased from $ 20,000 to $ 24,000, by how much will the property tax increase?
Answer the question using a single word or phrase.

[Assistant] $ 320

[User]
o mow a grass field a team of mowers planned to cover 15 hectares a day. after 4 working days they increased the daily productivity by 33 × 13 % 33 × 13 %, and finished the work 1 day earlier than it was planned. a ) what is the area of the grass field? b ) how many days did it take to mow the whole field? c ) how many days were scheduled initially for this job?
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[Assistant] 20


[User]
how many integers between 1 and 10 ^ 17 are such that the sum of their digits is 2?
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[Assistant] 153

[User]
excluding stoppages, the speed of a bus is 60 kmph and including stoppages, it is 45 kmph. for how many minutes does the bus stop per hour?
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[Assistant] 15 min

[User]
the average monthly income of p and q is rs. 5050. the average monthly income of q and r is rs. 6250 and the average monthly income of p and r is rs. 5200. the monthly income of p is :
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[Assistant] 4000

[User]
if ( 1 / 2 ) ^ 23 ( 1 / 81 ) ^ k = 1 / 18 ^ 23, then k =
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[Assistant] 46 / 4

[User]
the average wages of a worker during a fortnight comprising 15 consecutive working days was $ 90 per day. during the first 7 days, his average wages was $ 87 per day and the average wages during the last 7 days was $ 90 per day. what was his wage on the 8 th day?
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[Assistant] $ 111


[User]
a vendor bought toffees at 6 for a rupee. how many for a rupee must he sell to gain 80 %?
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[Assistant] 28.8

[User]
find the average of all the numbers between 11 and 34 which are divisible by 10?
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[Assistant] 25

[User]
a certain company expects quarterly earnings of $ 0.80 per share of stock, half of which will be distributed as dividends to shareholders while the rest will be used for research and development. if earnings are greater than expected, shareholders will receive an additional $ 0.04 per share for each additional $ 0.10 of per share earnings. if quarterly earnings are $ 1.10 per share, what will be the dividend paid to a person who owns 400 shares of the company's stock?
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[Assistant] $ 208

[User]
if n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 840, what is the least possible value of n?
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[Assistant] 7

[User]
among all sales staff at listco corporation, college graduates and those without college degrees are equally represented. each sales staff member is either a level - 1 or level - 2 employee. level - 1 college graduates account for 10 % of listco's sales staff. listco employs 72 level - 1 employees, 30 of whom are college graduates. how many sales staff members without college degrees are level - 2 employees?
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[Assistant] 108


[User]
a semicircle has a radius of 9. what is the approximate perimeter of the semicircle?
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[Assistant] 46

[User]
a can do piece of work in 15 days and b in 20 days they finished the work with the assistance of c in 5 days and got rs. 45 as their wages find the share for each in wages?
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[Assistant] 15, 11.25, 18.75

[User]
if the average ( arithmetic mean ) of a and b is 210, and the average of b and c is 160, what is the value of a − c?
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[Assistant] 100

[User]
calculate 469158 x 9999 =?
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[Assistant] 4691110842

[User]
33 1 / 3 % of 210?
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[Assistant] 70


[User]
on a certain transatlantic crossing, 20 percent of a ship's passengers held round - trip tickets and also took their cars abroad the ship. if 40 percent of the passengers with round - trip tickets did not take their cars abroad the ship, what percent of the ship's passengers held round - trip tickets?
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[Assistant] 33.3 %

[User]
a man has some hens and cows. if the number of heads be 48 and the number of feet equals 136, then the number of hens will be :
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[Assistant] 28

[User]
hillary and eddy are climbing to the summit of mt. everest from a base camp 5,100 ft from the summit. when they depart for the summit at 06 : 00, hillary climbs at a rate of 800 ft / hr with eddy lagging behind at a slower rate of 500 ft / hr. if hillary stops 1100 ft short of the summit and then descends at a rate of 1,000 ft / hr, at what time do hillary and eddy pass each other on her return trip?
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[Assistant] 12.0

[User]
an error 6 % in excess is made while measuring the side of a square. the percentage of error in the calculated area of the square is
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[Assistant] 12.26 %

[User]
a train 360 m long is running at a speed of 45 km / hr. in what time will it pass a bridge 190 m long?
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[Assistant] 44 sec


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

[User]
a man is 22 years older than his son. in two years, his age will be twice the age of his son. the present age of this son is
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[Assistant] 20 years

[User]
a train 55 meters long is running with a speed of 60 kmph. in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
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[Assistant] 3 sec

[User]
how long will a boy take to run round a square field of side 60 meters, if he runs at the rate of 12 km / hr?
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[Assistant] 72 sec

[User]
in a market, a dozen eggs cost as much as a pound of rice, and a half - liter of kerosene costs as much as 6 eggs. if the cost of each pound of rice is $ 0.24, then how many cents does a liter of kerosene cost? [ one dollar has 100 cents. ]
Answer the question using a single word or phrase.

[Assistant] 24


[User]
murali travelled from city a to city b at a speed of 40 kmph and from city b to city c at 60 kmph. what is the average speed of murali from a to c given that the ratio of distances between a to b and b to c is 1 : 2? a. 48 kmph
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[Assistant] 360 / 7

[User]
a ’ s speed is 30 / 17 times that of b. if a and b run a race, what part of the length of the race should a give b as a head start, so that the race ends in a dead heat?
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[Assistant] 13 / 30

[User]
a cycle is bought for rs. 670 and sold for rs. 780, find the gain percent?
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[Assistant] 16 %

[User]
the cost of 10 kg of mangos is equal to the cost of 24 kg of rice. the cost of 6 kg of flour equals the cost of 2 kg of rice. the cost of each kg of flour is $ 22. find the total cost of 4 kg of mangos, 3 kg of rice and 5 kg of flour?
Answer the question using a single word or phrase.

[Assistant] 941.6

[User]
a shopkeeper sold an article offering a discount of 5 % and earned a profit of 20.65 %. what would have been the percentage of profit earned if no discount was offered?
Answer the question using a single word or phrase.

[Assistant] 27 %


[User]
two goods trains each 500 m long are running in opposite directions on parallel tracks. their speeds are 90 km / hr and 30 km / hr respectively. find the time taken by the slower train to pass the driver of the faster one?
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[Assistant] 30 sec

[User]
john was thrice as old as tom 6 years ago. john will be 7 / 5 times as old as tom in 6 years. how old is tom today?
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[Assistant] 9

[User]
workers at a campaign office have 2000 fliers to send out. if they send out 1 / 10 of them in the morning and 1 / 4 of the remaining ones out during the afternoon, how many are left for the next day?
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[Assistant] 1350

[User]
three pipes a, b and c can fill a tank from empty to full in 20 minutes, 20 minutes and 30 minutes respectively. when the tank is empty, all the three pipes are opened. a, b and c discharge chemical solutions p, q and r respectively. what is the proportion of solution q in the liquid in the tank after 3 minutes?
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[Assistant] 3 / 8

[User]
when x is even, [ x ] = x / 2 + 1, when x is odd [ x ] = 2 x + 1 then [ 5 ] * [ 4 ] =?
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[Assistant] [ 33 ]


[User]
765 chairs are to be arranged in a column in such a way that the number of chairs in each column should be equal to the columns. how many chairs will be excluded to make this arrangement possible?
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[Assistant] 36

[User]
a mobile battery in 1 hour charges to 20 percent. how much time ( in minute ) will it require more to charge to 40 percent.
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[Assistant] 120

[User]
if a lends rs. 3500 to b at 10 % per annum and b lends the same sum to c at 11 % per annum then the gain of b in a period of 3 years is?
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[Assistant] 105

[User]
x and y began business with rs. 10000 and rs. 8000 after 6 months, x advances rs. 2000 and y advances rs. 2000 more. at the end of the year, their profits amounted to rs. 2000 find the share of x and y respectively.
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[Assistant] 1100, 900

[User]
in a group of ducks and cows, the total number of legs are 30 more than twice the no. of heads. find the total no. of buffaloes.
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[Assistant] 15


[User]
the l. c. m of two numbers is 48. the numbers are in the ratio 1 : 2. the sum of numbers is :
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[Assistant] 72

[User]
a certain fraction has the same ratio to 1 / 36, as 4 / 7 does to 5 / 9. what is this certain fraction?
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[Assistant] 1 / 35

[User]
there are 780 male and female participants in a meeting. half the female participants and one - quarter of the male participants are democrats. one - third of all the participants are democrats. how many of the democrats are female?
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[Assistant] 130

[User]
two goods trains each 2000 m long are running in opposite directions on parallel tracks. their speeds are 45 km / hr and 30 km / hr respectively. find the time taken by the slower train to pass the driver of the faster one?
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[Assistant] 192

[User]
what sum of money will produce rs. 70 as simple interest in 4 years at 3 1 / 2 percent?
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[Assistant] 500


[User]
a man is 34 years older than his son. in two years, his age will be twice the age of his son. the present age of the son is?
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[Assistant] 32

[User]
a jogger running at 9 km / hr along side a railway track is 240 m ahead of the engine of a 130 m long train running at 45 km / hr in the same direction. in how much time will the train pass the jogger?
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[Assistant] 37 sec

[User]
a train running at a speed of 36 km / h passes an electric pole in 14 seconds. in how many seconds will the whole train pass a 360 - meter long platform?
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[Assistant] 50

[User]
if n is a positive integer and n ^ 2 is divisible by 72, then the largest positive integer m that must divide n is?
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[Assistant] 12

[User]
a brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 27 m * 2 m * 0.75 m?
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[Assistant] 27000


[User]
one - fourth of the workers in palabras bookstore have read the latest book by j. saramago, and 5 / 8 of the workers have read the latest book by h. kureishi. the number of workers that have read neither book is one less than the number of the workers that have read the latest saramago book and have not read the latest kureishi book. if there are 72 workers in the palabras bookstore, how many of them have read both books?
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[Assistant] 4

[User]
in traveling from a dormitory to a certain city, a student went 1 / 4 of the way by foot, 1 / 2 of the way by bus, and the remaining 10 kilometers by car. what is the distance, in kilometers, from the dormitory to the city?
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[Assistant] 40

[User]
if ( 1 / 5 ) ^ m * ( 1 / 4 ) ^ 4 = 1 / ( 16 * ( 10 ) ^ 4 ), then m =
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[Assistant] 4

[User]
in the faculty of reverse - engineering, 220 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. how many students are there in the faculty if the second year students are approximately 80 % of the total?
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[Assistant] 636.

[User]
what would be the minimum number of pumps required to fill a tank of 1000 m 3 to 85 % in one hour? the capacity of the pump is 150 m 3 / hour and operates at an efficiency of 75 %.
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[Assistant] 8


[User]
of the land owned by a farmer, 90 percent was cleared for planting. of the cleared land, 60 percent was planted with grapes and 30 percent of the cleared land was planted with potato. if the remaining 360 acres of cleared land was planted with tomato, how many acres did the farmer own?
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[Assistant] 4000

[User]
the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 10. if p invested the money for 8 months, find for how much time did q invest the money?
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[Assistant] 16

[User]
a monkey ascends a greased pole 12 metres high. he ascends 2 metres in first minute and slips down 1 metre in the alternate minute. in which minute, he reaches the top?
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[Assistant] 22 nd

[User]
what will be the remainder when 17 ^ 200 is divided by 18
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[Assistant] 1

[User]
sakshi invests a part of rs. 12000 in 12 % stock at rs. 120 and the remainder in 15 % stock at rs. 125. if his total dividend per annum is rs. 1360, how much does he invest in 12 % stock at rs. 120?
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[Assistant] rs. 4000


[User]
xavier, yvonne, and zelda each try independently to solve a problem. if their individual probabilities for success are 1 / 5, 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] 3 / 80

[User]
in a college, the ratio of the number of boys to girls is 8 : 5. if there are 400 girls, the total number of students in the college is
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[Assistant] 1040

[User]
the tax on a commodity is diminished by 18 % and its consumption increased by 15 %. the effect on revenue is?
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[Assistant] 5.7 %

[User]
a can do a job in 10 days and b can do it in 30 days. a and b working together will finish twice the amount of work in - - - - - - - days?
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[Assistant] 15 days

[User]
if jamie's income is rs 20000, calculate his savings given that his income and expenditure are in the ratio 7 : 5.?
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[Assistant] rs 8000


[User]
a sum fetched a total simple interest of rs. 4016.25 at the rate of 1 % p. a. in 5 years. what is the sum?
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[Assistant] 80325

[User]
on thrusday mabel handled 90 transactions. anthony handled 10 % more transaction than mabel, cal handled 2 / 3 rds of the transactions that anthony handled and jade handled 16 more transaction than cal. how much transaction did jade handled?
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[Assistant] 82

[User]
jar x is 1 / 3 full of water. jar y, which has half the capacity of jar x, is 1 / 2 full of water. if the water in jar y is poured into jar x, then jar x will be filled to what fraction of its capacity?
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[Assistant] 7 / 12

[User]
a cement mixture is composed of 3 elements. by weight, 1 / 3 of the mixture is sand, 1 / 4 of the mixture is water, and the remaining 10 pounds of the mixture is gravel. what is the weight of the entire mixture in pounds?
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[Assistant] 24

[User]
0.01 is what percent of 0.1?
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[Assistant] 10 %