[User]
n and m are each 3 - digit integers. each of the numbers 2, 3,4, 6, 7, and 8 is a digit of either n or m. what is the smallest possible positive difference between n and m?
Answer the question using a single word or phrase.

[Assistant] 39

[User]
gary ’ s gas station serves an average of 12 cars per hour on saturdays, 10 cars per hour on sundays, and 9 cars per hour on all other days of the week. if the station is open from 6 a. m. to 10 p. m. every day, how many cars does gary ’ s station serve over the course of a typical week?
Answer the question using a single word or phrase.

[Assistant] 1,072

[User]
from the beginning to the end of 2007, the price of a stock rose 20 percent. in 2008, it dropped 25 percent. in 2009, it rose 35 percent. what percent of the stock â € ™ s 2007 starting price was the price of the stock at the end of 2009?
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[Assistant] 121.5

[User]
you enter a weight loss challenge game and manage to lose 15 % of your body weight. for the final weigh in you are forced to wear clothes that add 2 % to your weight. what percentage of weight loss is measured at the final weigh in?
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[Assistant] 13.3 %

[User]
if the average ( arithmetic mean ) of ( 2 a + 16 ) and ( 3 a - 8 ) is 89, what is the value of a?
Answer the question using a single word or phrase.

[Assistant] 34


[User]
if x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $ 92. if $ 2000 is the total amount invested, how much is invested at 8 percent?
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[Assistant] $ 600

[User]
four 6 faced dice are thrown together. the probability that all the four show the same number on them is?
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[Assistant] 1 / 216

[User]
the tax on a commodity is diminished by 10 % and its consumption increased by 25 %. the effect on revenue is?
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[Assistant] 12.5 % increase

[User]
a man ’ s wages were decreased by 50 %. again, the reduced wages were increased by 50 %. he has a loss of?
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[Assistant] 25 %

[User]
a cubical block of metal weighs 7 pounds. how much will another cube of the same metal weigh if its sides are twice as long?
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[Assistant] 56


[User]
find the compound ratio of ( 4 : 3 ), ( 1 : 3 ) and ( 2 : 3 ) is
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[Assistant] 16 : 27

[User]
a train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 19 seconds. what is the length of the platform in meters?
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[Assistant] 220 meters

[User]
a batsman scored 140 runs which included 3 boundaries and 8 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] 57 %

[User]
an escalator moves towards the top level at the rate of 11 ft. sec and its length is 140 feet. if a person walks on the moving escalator at the rate of 3 feet per second towards the top level, how much time does he take to cover the entire length.
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[Assistant] 10 sec

[User]
for how many unique pairs of nonnegative integers { a, b } is the equation a ^ 2 - b ^ 2 = 25 true?
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[Assistant] 2


[User]
set s contains exactly 10 numbers and has an average ( arithmetic mean ) of 6.2. if one of the numbers in set s is increased by 8, while all other numbers remain the same, what is the new average of set s?
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[Assistant] 7.0

[User]
14 men can complete a piece of work in 32 days. in how many days can 16 men complete that piece of work?
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[Assistant] 27 1 / 2

[User]
a work crew of 7 men takes 10 days to complete one - half of a job. if 8 men are then added to the crew and the men continue to work at the same rate, how many days will it take the enlarged crew to do the rest of the job?
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[Assistant] 4 2 / 3

[User]
a train running at the speed of 90 km / hr crosses a pole in 6 seconds. what is the length of the train?
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[Assistant] 225

[User]
the angle of elevation of a ladder leaning against a wall is 60 ° and the foot of the ladder is 4.6 m away from the wall. the length of the ladder is
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[Assistant] 9.2 m


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

[User]
the sale price sarees listed for rs. 510 after successive discount is 12 % and 15 % is?
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[Assistant] 381

[User]
the present population of a town is 3456. population increase rate is 20 % p. a. find the population of town before 2 years?
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[Assistant] 2400

[User]
the distance from city a to city b is 150 miles. while driving from city a to city b, cara drives at a constant speed of 30 miles per hour. dan leaves city a 90 minutes after cara. what is the minimum constant speed in miles per hour that dan must exceed in order to arrive in city b before cara?
Answer the question using a single word or phrase.

[Assistant] 42.85

[User]
the interest on a certain deposit at 4.5 % p. a. is rs. 202.50 in one year. how much will the additional interest in one year be on the same deposit at 5 % p. a.?
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[Assistant] rs. 22.50


[User]
if a ( a - 4 ) = 12 and b ( b - 4 ) = 12, where a ≠ b, then a + b =
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[Assistant] 4

[User]
what percent of 60 is 120?
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[Assistant] 200

[User]
the price of commodity x increases by 45 cents every year, while the price of commodity y increases by 20 cents every year. in 2001, the price of commodity x was $ 4.20 and the price of commodity y was $ 6.30. in which year will the price of commodity x be 65 cents more than the price of commodity y?
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[Assistant] 2012

[User]
the number of timeshare condos available at sunset beach is 3 / 5 the number of timeshare condos available at playa del mar. if the total number of timeshare condos available at the two beaches combined is 400, what is the difference between the number of condos available at sunset beach and the number of condos available at playa del mar?
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[Assistant] 100

[User]
a train leaves delhi at 9 a. m. at a speed of 30 kmph. another train leaves at 3 p. m. at a speed of 40 kmph on the same day and in the same direction. how far from delhi, will the two trains meet?
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[Assistant] 720


[User]
when a merchant imported a certain item, she paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1,000. if the amount of the import tax that the merchant paid was $ 112.70, what was the total value of the item?
Answer the question using a single word or phrase.

[Assistant] $ 2610

[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 300 grams of compound x?
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[Assistant] 250

[User]
find the cost of fencing around a circular field of diameter 26 m at the rate of rs. 1.50 a meter?
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[Assistant] 122.55

[User]
a can give b a start of 50 metres or 10 seconds in a kilometer race. how long does a take to complete the race?
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[Assistant] 190 seconds

[User]
what is the remainder when 43717 ^ ( 43628233 ) is divided by 5?
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[Assistant] 2


[User]
last year sandy saved 6 % of her annual salary. this year, she made 10 % more money than last year, and she saved 10 % of her salary. the amount saved this year was what percent of the amount she saved last year?
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[Assistant] 183 %

[User]
if 10 litres of an oil of rs. 50 per litres be mixed with 5 litres of another oil of rs. 68 per litre then what is the rate of mixed oil per litre?
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[Assistant] rs. 56

[User]
a broker invested her own money in the stock market. during the first year, she increased her stock market wealth by 90 percent. in the second year, largely as a result of a slump in the stock market, she suffered a 50 percent decrease in the value of her stock investments. what was the net increase or decrease on her overall stock investment wealth by the end of the second year?
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[Assistant] − 5 %

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

[User]
the average temperature for tuesday, wednesday and thursday was 52 ° c. the average temperature for wednesday, thursday and friday was 54 ° c. if the temperature on friday be 53 ° c, what was the temperature on tuesday?
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[Assistant] 47 ° c


[User]
in an objective competitive exam, a correct answer score 4 marks and on a wrong answer 2 marks are negatively added. a student scores 420 marks from 150 question. how many answers were correct?
Answer the question using a single word or phrase.

[Assistant] 120

[User]
running at their respective constant rates, machine x takes 2 days longer to produce w widgets than machine y. at these rates, if the two machines together produce 5 / 4 w widgets in 3 days, how many days would it take machine x alone to produce 4 w widgets?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
a car traveled 75 % of the way from town a to town b at an average speed of 50 miles per hour. the car travels at an average speed of s miles per hour for the remaining part of the trip. the average speed for the entire trip was 50 miles per hour. what is s?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
excluding stoppages, the average speed of a bus is 60 km / hr and including stoppages, the average speed of the bus is 30 km / hr. for how many minutes does the bus stop per hour?
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[Assistant] 30

[User]
if a + b + c = 13, then find the ab + bc + ca :
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[Assistant] 50


[User]
indu gave bindu rs. 6250 on compound interest for 2 years at 4 % per annum. how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest?
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[Assistant] 10

[User]
if log 102 = 0.3010, what is the value of log 101600?
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[Assistant] 3.204

[User]
a man can row his boat with the stream at 16 km / h and against the stream in 12 km / h. the man's rate is?
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[Assistant] 2 kmph

[User]
if 125 % of j is equal to 25 % of k, 150 % of k is equal to 50 % of l, and 175 % of l is equal to 75 % of m, then 20 % of m is equal to what percent of 200 % of j?
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[Assistant] 350

[User]
a library has an average of 570 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 :
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[Assistant] 295


[User]
the average of 6 no.'s is 3.95. the average of 2 of them is 3.4, while the average of theother 2 is 3.85. what is the average of the remaining 2 no's?
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[Assistant] 4.6

[User]
some persons can do a piece of work in 12 days. two times the number of such persons will do half of that work in
Answer the question using a single word or phrase.

[Assistant] 3

[User]
find the number of zero ’ s in 173! ( 173 factorial )?
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[Assistant] 41

[User]
270 ã ·? ã — 15 + 270 = 405
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[Assistant] 30

[User]
what is the sum of the odd integers from 55 to 65, inclusive?
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[Assistant] 360


[User]
the ratio between the length and the breadth of a rectangular park is 3 : 2. if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 6 minutes, then the area of the park ( in sq. m ) is
Answer the question using a single word or phrase.

[Assistant] 60000

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

[User]
the present age of a father is 3 years more than 3 times the age of his son. 3 years hence, father as age will be 8 years more than twice the age of the son. find the present age of the father.
Answer the question using a single word or phrase.

[Assistant] 27

[User]
the “ length of integer x ” refers to the number of prime factors, not necessarily distinct, that x has. ( if x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5. ) what is the greatest possible length of integer z if z < 2500?
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[Assistant] 11

[User]
in measuring the sides of a rectangle, one side is taken 6 % in excess, and the other 5 % in deficit. find the error percent in the area calculated from these measurements.
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[Assistant] 0.7 %


[User]
a courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. what could be the weight in grams of a package for which the charge is $ 1.95?
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[Assistant] 1530

[User]
if the diameter of circle r is 50 % of the diameter of circle s, the area of circle r is what percent of the area of circle s?
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[Assistant] 25 %

[User]
a can do a piece of work in 9 days. when he had worked for 2 days b joins him. if the complete work was finished in 8 days. in how many days b alone can finish the work?
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[Assistant] 54

[User]
john's bank's saving amount is decreased 50 % due to loan payment and current balance is rs. 50000. find the actual balance before deduction?
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[Assistant] 100000

[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 $ 192, how many hours overtime did he work?
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[Assistant] 12


[User]
if n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 294, what is the least possible value of n?
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[Assistant] 14

[User]
excluding stoppages, the speed of a train is 55 kmph and including stoppages it is 40 kmph. of how many minutes does the train stop per hour?
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[Assistant] 16

[User]
a train travels 210 km in 3 hours and 270 km in 4 hours. find the average speed of train.
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[Assistant] 69 kmph

[User]
15 - 2 + 4 ÷ 1 / 2 × 8 =?
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[Assistant] 77

[User]
the difference between the compound interest and simple interest on a certain sum at 20 % per annum for 2 years is $ 500. find the sum?
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[Assistant] $ 10000


[User]
nicky and cristina are running a 400 meter race. since cristina is faster than nicky, she gives him a 12 second head start. if cristina runs at a pace of 5 meters per second and nicky runs at a pace of only 3 meters per second, how many seconds will nicky have run before cristina catches up to him?
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[Assistant] 30

[User]
a mixture of 70 liters of wine and water contains 10 % water. how much water must be added to make water 12 ½ % of the total mixture?
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[Assistant] 2 liters

[User]
danny and steve are running towards each other, each one from his own house. danny can reach steve's house in 35 minutes of running, which is half the time it takes steve to reach danny's house. if the two started to run at the same time, how much time longer will it take steve to reach the halfway point between their houses than danny to reach the halfway point between their houses?
Answer the question using a single word or phrase.

[Assistant] 17.5 minutes.

[User]
a vessel of capacity 2 litre has 20 % of alcohol and another vessel of capacity 6 litre had 40 % alcohol. the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. what is the new concentration of mixture?
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[Assistant] 28 %.

[User]
in a kilometer race, a beats b by 60 meters or 10 seconds. what time does a take to complete the race?
Answer the question using a single word or phrase.

[Assistant] 156.7 sec


[User]
the speed at which a man can row a boat in still water is 15 kmph. if he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 120 metres?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
the perimeter of one face of a cube is 24 cm. its volume will be :
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[Assistant] 216 cm 3

[User]
when a train moves at an average speed of 100 kmph it reaches its destination on time. when its average speed becomes 80 kmph, then it reaches its destination 20 minutes late. find the length of journey rounded to two decimal places.
Answer the question using a single word or phrase.

[Assistant] 133.33 km

[User]
a certain bacteria colony doubles in size every day for 20 days, at which point it reaches the limit of its habitat and can no longer grow. if two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat ’ s limit?
Answer the question using a single word or phrase.

[Assistant] 19

[User]
julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. after two years she earned $ 120 and $ 126 from the simple interest account and the compound interest account respectively. if the interest rates for both accounts were the same, what was the amount of julie's initial savings?
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[Assistant] 1200


[User]
find large number from below question the difference of two numbers is 1365. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder?
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[Assistant] 1635

[User]
joan and karl each bought a sofa and the sum of their purchases was $ 600. if twice of what joan paid was $ 90 more than what karl paid, what did joan pay for her sofa?
Answer the question using a single word or phrase.

[Assistant] $ 230

[User]
a meeting has to be conducted with 5 managers. find the number of ways in which the managers may be selected from among 8 managers, if there are 2 managers who refuse to attend the meeting together.
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[Assistant] 36

[User]
a reduction of 18 % in the price of oil enables a house wife to obtain 8 kgs more for rs. 1080, what is the reduced price for kg?
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[Assistant] 24.25

[User]
one pipe can fill a tank three times as fast as another pipe. if together the two pipes can fill the tank in 38 minutes, then the slower pipe alone will be able to fill the tank in
Answer the question using a single word or phrase.

[Assistant] 152 minw


[User]
a satellite is composed of 24 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. each unit contains the same number of non - upgraded sensors. if the number of non - upgraded sensors on one unit is 1 / 6 the total number of upgraded sensors on the entire satellite, what fraction of the sensors on the satellite have been upgraded?
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[Assistant] 1 / 5

[User]
a copy machine, working at a constant rate, makes 30 copies per minute. a second copy machine, working at a constant rate, makes 55 copies per minute. working together at their respective rates, how many copies do the two machines make in half an hour?
Answer the question using a single word or phrase.

[Assistant] 2,550

[User]
how many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth ( units digit ) is divisible by 5, and the digit 2 can be used only once?
Answer the question using a single word or phrase.

[Assistant] 150

[User]
the average salary of the employees in a office is rs. 120 / month. the avg salary of officers is rs. 450 and of non officers is rs 110. if the no. of officers is 15, then find the no of nonofficers in the office.
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[Assistant] 495

[User]
there are 15 players in a chess group, and each player plays each of the others once. given that each game is played by two players, how many total games will be played?
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[Assistant] 105


[User]
two heavily loaded sixteen - wheeler transport trucks are 855 kilometers apart, sitting at two rest stops on opposite sides of the same highway. driver a begins heading down the highway driving at an average speed of 90 kilometers per hour. exactly one hour later, driver b starts down the highway toward driver a, maintaining an average speed of 80 kilometers per hour. how many kilometers farther than driver b, will driver a have driven when they meet and pass each other on the highway?
Answer the question using a single word or phrase.

[Assistant] 135

[User]
5357 x 51 =?
Answer the question using a single word or phrase.

[Assistant] 273207

[User]
a person spends 1 / 3 rd of the money with him on clothes, 1 / 5 th of the remaining on food and 1 / 4 th of the remaining on travel. now, he is left with rs 300. how much did he have with him in the beginning?
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[Assistant] s 750

[User]
a student is ranked 16 th from right and 6 th from left. how many students are there in totality?
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[Assistant] 21

[User]
the sum of the first 50 positive even integers is 2550. what is the sum w of even integers from 102 to 200 inclusive?
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[Assistant] 7550


[User]
if a number x is 10 % less than another number y and y is 10 % more than 125, then x is equal to
Answer the question using a single word or phrase.

[Assistant] 123.75

[User]
575.104 x 15.98 ã · 9.001 + 21.25 =?
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[Assistant] 1043.65

[User]
if a car had traveled 30 kmh faster than it actually did, the trip would have lasted 30 minutes less. if the car went exactly 90 km, at what speed did it travel?
Answer the question using a single word or phrase.

[Assistant] 60 kmh

[User]
if the selling price of 8 articles is same as the cost price of 12 articles. find the gain or loss percentage?
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[Assistant] 50 % gain

[User]
janet invited her boy and girl friends to her party at the ratio of 3 : 7. if 30 % of the boys and 70 % of the girls will be coming for the party from texas, how many janet invited friends will be coming from texas.
Answer the question using a single word or phrase.

[Assistant] 58 %


[User]
david works at a science lab that conducts experiments on bacteria. the population of the bacteria multiplies at a constant rate, and his job is to notate the population of a certain group of bacteria each hour. at 1 p. m. on a certain day, he noted that the population was 500 and then he left the lab. he returned in time to take a reading at 4 p. m., by which point the population had grown to 13,500. now he has to fill in the missing data for 2 p. m. and 3 p. m. what was the population at 3 p. m.?
Answer the question using a single word or phrase.

[Assistant] 4500

[User]
a can do a piece of work in 4 hours ; b and c together can do it in 3 hours, while a and c together can do it in 3 hours. how long will b alone take to do it?
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[Assistant] 4

[User]
2, 5, 10, 17,..
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[Assistant] 26

[User]
cost is expressed by the formula tb ^ 4. if b is doubled, the new cost is what percent of the original cost?
Answer the question using a single word or phrase.

[Assistant] 1600

[User]
a sum of money is distributed among a, b, c, d in the proportion of 5 : 3 : 2 : 3. if a gets $ 1000 more than b, what is the c's share?
Answer the question using a single word or phrase.

[Assistant] $ 1000


[User]
a train 125 m long passes a man, running at 5 km / hr in the same direction in which the train is going, in 15 seconds. the speed of the train is :
Answer the question using a single word or phrase.

[Assistant] 35

[User]
two boys starts from the same place walking at the rate of 5.5 kmph and 7.5 kmph respectively in the same direction. what time will they take to be 32 km apart?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
two thirds of the roads from a to b are at least 5 miles long, and 1 / 2 of the roads from b to c are at least 5 miles long. if you randomly pick a road from a to b and then randomly pick a road from b to c, what is the probability that at least one of the roads you pick is at least 5 miles long?
Answer the question using a single word or phrase.

[Assistant] 5 / 6

[User]
the difference between a number and its two - fifth is 510. what is 15 % of that number?
Answer the question using a single word or phrase.

[Assistant] 127.5

[User]
the average salary of all the workers in a workshop is rs. 8000. the average salary of 7 technicians is rs. 18000 and the average salary of the rest is rs. 6000. the total number of workers in the workshop is
Answer the question using a single word or phrase.

[Assistant] 42


[User]
a sum of rs. 427 is to be divided among a, b and c in such a way that 3 times a ’ s share, 4 times b ’ s share and 7 times c ’ s share are all equal. the share of c is?
Answer the question using a single word or phrase.

[Assistant] 84

[User]
if x and t are integers and 2 x – t = 11, then 4 x + t can not be
Answer the question using a single word or phrase.

[Assistant] 17

[User]
excluding stoppages, the speed of a bus is 40 kmph and including stoppages, it is 30 kmph. for how many minutes does the bus stop per hour?
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[Assistant] 15 min

[User]
the megatek corporation is displaying its distribution of employees by department in a circle graph. the size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. if the section of the circle graph representing the manufacturing department takes up 54 ° of the circle, what percentage of megatek employees are in manufacturing?
Answer the question using a single word or phrase.

[Assistant] 15 %

[User]
nicky and cristina are running a 100 meter race. since cristina is faster than nicky, she gives him a 12 second head start. if cristina runs at a pace of 5 meters per second and nicky runs at a pace of only 3 meters per second, how many seconds will nicky have run before cristina catches up to him?
Answer the question using a single word or phrase.

[Assistant] 30


[User]
an engineer designed a ball so that when it was dropped, it rose with each bounce exactly one - half as high as it had fallen. the engineer dropped the ball from a 20 - meter platform and caught it after it had traveled 55 meters. how many times did the ball bounce?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
find the value of 582964 x 99999 = m?
Answer the question using a single word or phrase.

[Assistant] 58295817036

[User]
a big container is 30 % full with water. if 18 liters of water is added, the container becomes 3 / 4 full. what is the capacity of the big container?
Answer the question using a single word or phrase.

[Assistant] 40 liters

[User]
( 18.6 x 17.2 ÷ 0.6 ) x 27.5 =?
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[Assistant] 14663

[User]
a 300 m long train crosses a platform in 51 sec while it crosses a signal pole in 18 sec. what is the length of the platform?
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[Assistant] 550


[User]
16.02 ã — 0.0001 =?
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[Assistant] 0.001602

[User]
at an election 2 candidates are participated and a candidate got 30 % of votes and defeated by 1000. and 100 votes are invalid. find the total polled votes?
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[Assistant] 2600

[User]
find avrg speed if a man travels at speed of 32 km / hr up and 48 km / hr dawn at an altitude of 230 m.
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[Assistant] 38.4

[User]
what is the least integer greater than – 1 + 0.5?
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[Assistant] 0

[User]
the average age of 15 students of a class is 15 years. out of these, the average age of 7 students is 14 years and that of the other 7 students is 16 years, the age of the 15 th student is
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[Assistant] 15


[User]
joe invested a certain sum of money in a simple interest bond whose value grew to $ 400 at the end of 3 years and to $ 500 at the end of another 5 years. what was the rate of interest in which he invested his sum?
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[Assistant] 5.88 %

[User]
a doctor prescribed 24 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. if the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage greater than the typical dosage?
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[Assistant] 12.5 %

[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 z of his family ’ s total income?
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[Assistant] 33 %

[User]
how many different positive integers are factors of 324?
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[Assistant] 36

[User]
a reduction in the price of petrol by 10 % enables a motorist to buy 5 gallons more for $ 250. find the original price of petrol?
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[Assistant] $ 5.5


[User]
if ( 1 / 5 ) ^ n * ( 1 / 4 ) ^ 18 = 1 / ( 2 * ( 10 ) ^ 35 ), then n =
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[Assistant] 35

[User]
let exp ( m, n ) = m to the power n. if exp ( 10, m ) = n exp ( 22 ) where m and n are integers then n = ___?
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[Assistant] 25

[User]
if [ x ] is the greatest integer less than or equal to x, what is the value of [ - 5.6 ] + [ 3.4 ] + [ 12.7 ]?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
in a forest 150 deer were caught, tagged with electronic markers, then released. a week later, 50 deer were captured in the same forest. of these 50 deer, it was found that 5 had been tagged with the electronic markers. if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest?
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[Assistant] 1,500

[User]
the sum of four consecutive even numbers is 84. what would be the smallest number?
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[Assistant] 18


[User]
for the past n days, the average ( arithmetic mean ) daily production at a company was 50 units. if today's production of 90 units raises the average to 52 units per day, what is the value of n?
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[Assistant] 19

[User]
an escalator moves towards the top level at the rate of 8 ft. sec and its length is 160 feet. if a person walks on the moving escalator at the rate of 2 feet per second towards the top level, how much time does he take to cover the entire length.
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[Assistant] 16 sec

[User]
( 1000 ) 7 ÷ ( 10 ) 15 =?
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[Assistant] 1000000

[User]
a person spends 40 % of his salary on food, 25 % on house rent, 15 % on entertainment and 5 % on conveyance. if his savings at the end of the month is rs. 3000, then his salary per month in rupees is :
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[Assistant] 20000

[User]
the l. c. m of two numbers is 48. the numbers are in the ratio 8 : 3. the sum of numbers is :
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[Assistant] 22


[User]
when positive integer e is divided by 13, the remainder is 2. when n is divided by 8, the remainder is 5. how many such values are less than 180?
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[Assistant] 1

[User]
on a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. on the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. on both days, all the orangeade that was made was sold. if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.48 per glass on the first day, what was the price per glass on the second day?
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[Assistant] $ 0.32

[User]
if sharon's weekly salary increased by 16 percent, she would earn $ 406 per week. if instead, her weekly salary were to decreased by 10 percent, how much would she earn per week?
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[Assistant] rs. 315

[User]
amit, sumit and pramit go to a seaside town to spend a vacation there and on the first day everybody decides to visit different tourist locations. after breakfast, each of them boards a different tourist vehicle from the nearest bus - depot. after 3 hours, sumit who had gone to a famous beach, calls on the mobile of pramit and claims that he has observed a shark in the waters. pramit learns from the local guide that at that time of the year, only 8 sea - creatures ( including a shark ) are observable and the probability of observing any creature is equal. however, amit and pramit later recall during their discussion that sumit has a reputation for not telling the truth 5 out of 6 times. what is the probability that sumit actually observed a shark in the waters?
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[Assistant] 1 / 36

[User]
a certain sum is invested at simple interest at 15 % p. a. for two years instead of investing at 10 % p. a. for the same time period. therefore the interest received is more by rs. 840. find the sum?
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[Assistant] s. 8400


[User]
a dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 950 gm. for a kg. his gain is … %.
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[Assistant] 5.3 %

[User]
there are 7 players in a bowling team with an average weight of 121 kg. if two new players join the team, one weighs 110 kg and the second weighs 60 kg, what will be the new average weight?
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[Assistant] 113 kg.

[User]
a student scored an average of 70 marks in 3 subjects : physics, chemistry and mathematics. if the average marks in physics and mathematics is 90 and that in physics and chemistry is 70, what are the marks in physics?
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[Assistant] 110

[User]
a box contains 3 pairs of blue gloves and two pairs of green gloves. each pair consists of a left - hand glove and a right - hand glove. each of the gloves is separate from its mate and thoroughly mixed together with the others in the box. if 3 gloves are randomly selected from the box, what is the probability that a matched set ( i. e., a left - and right - hand glove of the same color ) will be among the 3 gloves selected?
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[Assistant] 41 / 60

[User]
the output of a factory is increased by 10 % to keep up with rising demand. to handle the holiday rush, this new output is increased by 30 %. by approximately what percent would the output of the factory now have to be decreased in order to restore the original output?
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[Assistant] 30 %


[User]
a 300 meter long train crosses a platform in 54 seconds while it crosses a signal pole in 18 seconds. what is the length of the platform?
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[Assistant] 600

[User]
150 ml of 30 % sulphuric acid was added to approximate 400 ml of 12 % sulphuric acid solution. find the approximate concentration e of the acid in the mixture?
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[Assistant] 1 / 6

[User]
what is the smallest integer k for which 64 ^ k > 4 ^ 19?
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[Assistant] 7

[User]
a cistern 6 m long and 5 m wide contains water up to a depth of 1 m 25 cm. the total area of the wet surface is :
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[Assistant] 57.5 m 2

[User]
a train 1600 m long can cross a pole in 40 sec and then find the speed of the train?
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[Assistant] 144


[User]
if 4 log ( 4 * 5 ^ 2 ) = x, find x
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[Assistant] 8

[User]
if x is real, find the maximum value of the expression - 2 x ^ 2 + 9 x + 11.
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[Assistant] 21.125

[User]
find the l. c. m of 12, 8, 24 and 16.
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[Assistant] 48

[User]
if [ x ] is the greatest integer less than or equal to x, what is the value of [ - 11.6 ] + [ 13.4 ] + [ 12.7 ]?
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[Assistant] 13

[User]
( 12345679 x 72 ) =?
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[Assistant] 888888888


[User]
what least number must be added to 686, so that the sum is completely divisible by 5?
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[Assistant] 4

[User]
45 men took a dip in a water tank 40 m long and 20 m broad on a religious day. if the average displacement of water by a man is 4 m 3, then the rise in the water level in the tank will be :
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[Assistant] none of these

[User]
if 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?
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[Assistant] 60 hours

[User]
a train 420 m long is running at a speed of 48 km / hr. in what time will it pass a bridge 60 m long?
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[Assistant] 36 sec

[User]
nina has exactly enough money to purchase 6 widgets. if the cost of each widget were reduced by $ 1, then nina would have exactly enough money to purchase 8 widgets. how much money does nina have?
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[Assistant] $ 24


[User]
a bag contains 10 black and 20 white balls. one ball is drawn at random. what is the probability that the ball drawn is white?
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[Assistant] 2 / 3

[User]
a man invests rs. 7,000 at the rate of 5 % per annum. how much more should he invest at the rate of 8 %, so that he can earn a total of 6 % per annum?
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[Assistant] rs. 3500

[User]
if 16 ^ 5 * 15 ^ 4 * 14 ^ 3 * 13 ^ 2 = x, what is the units digit of x?
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[Assistant] 0

[User]
a fruit seller had some apples. he sells 80 % and still has 500 apples. originally, he had?
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[Assistant] 2500 apples

[User]
a, b and c rent a pasture. if a puts 10 oxen for 7 months, b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs. 210, then how much amount should c pay as his share of rent?
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[Assistant] 54


[User]
if 50 honey bees make 50 grams of honey in 50 days, then 1 honey bee will make 1 gram of honey in how many days?
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[Assistant] 50

[User]
the charge for a single room at hotel p is 55 percent less than the charge for a single room at hotel r and 10 percent less than the charge for a single room at hotel g. the charge for a single room at hotel r is what percent greater than the charge for a single room at hotel g?
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[Assistant] 100 %

[User]
69 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] 23

[User]
how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 11 inches than that of a rectangular sheet of paper measuring 5.5 inches by 11 inches?
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[Assistant] 100 %

[User]
a certain college's enrollment at the beginning of 1992 was 40 percent greater than it was at the beginning of 1991, and its enrollment at the beginning of 1993 was 15 percent greater than it was at the beginning of 1992. the college's enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991?
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[Assistant] 61 %


[User]
if the cost price is 75 % of the selling price, then what is the profit percent?
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[Assistant] 33 %

[User]
double of quarter of 3 percent written as a decimal is :
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[Assistant] 0.015

[User]
two brothers ram and ravi appeared for an exam. the probability of selection of ram is 5 / 7 and that of ravi is 1 / 5. find the probability that both of them are selected.
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[Assistant] 1 / 7

[User]
find the least number must be subtracted from 11070 so that remaining number is divisible by 22.
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[Assistant] 2

[User]
rs. 2500 is divided into two parts such that if one part be put out at 5 % simple interest and the other at 6 %, the yearly annual income may be rs. 145. how much was lent at 5 %?
Answer the question using a single word or phrase.

[Assistant] 500


[User]
one robot builds a robot in 1 hour, another one builds a robot in 2 hours. the 2 robots work together and when a new robot is complete, it joins the others, working at a constant rate of one robot in 2 hours. how much time will it take until there are 4 robots altogether, if the robots build only one robot at a time?
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[Assistant] 70 min

[User]
50 % of a number is 10 less than 3 / 5 th of that number. what is the number?
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[Assistant] 100

[User]
17 + 18 = 35. how many such 2 consecutive numbers are there less than 200 when added gives a sum which is divisible by 5?
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[Assistant] 40

[User]
the profit earned by selling an article for 872 is equal to the loss incurred when the same article is sold for 448. what should be the sale price of the article for making 50 per cent profit?
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[Assistant] 990

[User]
a candidate got 40 % of the votes polled and he lost to his rival by 2000 votes. how many votes were cast?
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[Assistant] 10000


[User]
one night 17 percent of the female officers on a police force were on duty. if 170 police officers were on duty that night and half of these were female officers, how many female officers were on the police force?
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[Assistant] 500

[User]
the circumferences of two circles are 396 meters and 704 meters. find the difference between the areas of the larger and the smaller circles?
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[Assistant] 26950 sq m

[User]
a train 495 m long is running at a speed of 63 km / hr. in what time will it pass a bridge 240 m long?
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[Assistant] 42

[User]
if a - b = 3 and a ^ 2 + b ^ 2 = 27, find the value of ab.
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[Assistant] 9

[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]
the value of a scooter depreciates in such a way that its value of the end of each year is 3 / 4 of its value of the beginning of the same year. if the initial value of the scooter is rs. 40,000, what is the value at the end of 6 years?
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[Assistant] 7119

[User]
there are 50 employees in the office of abc company. of these, 22 have taken an accounting course, 14 have taken a course in finance and 15 have taken a marketing course. 10 of the employees have taken exactly two of the courses and 1 employee has taken all 3 of the courses. how many of the 50 employees have taken none of the courses?
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[Assistant] 11

[User]
if an object travels 80 feet in 2 seconds, what is the object ’ s approximate speed in miles per hour? ( note : 1 mile = 5280 feet )
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[Assistant] 27.27

[User]
what is the sum of all possible 3 - digit numbers that can be constructed using the digits 1, 2, and 4 if each digit can be used only once in each number?
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[Assistant] 1554

[User]
if x is real, find the maximum value of the expression - 2 x ^ 2 + 11 x + 13.
Answer the question using a single word or phrase.

[Assistant] 28.125


[User]
a number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. such a least possible number x is
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[Assistant] x = 75

[User]
if 1 = x. 2 = 2 x 3 = 4 x.... what is 2 x * 6 x + 5 x / 4 x - 56 x
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[Assistant] 10

[User]
the closest approximation of a ( 69.28 × 0.004 ) / 0.03 is
Answer the question using a single word or phrase.

[Assistant] 9.2

[User]
a number exceeds 20 % of itself by 40. the number is?
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[Assistant] 50

[User]
9.009 / 5.005 =
Answer the question using a single word or phrase.

[Assistant] 1.8


[User]
the ratio between the perimeter and the width of a rectangle is 5 : 1. if the area of the rectangle is 294 square centimeters, what is the length of the rectangle in centimeters?
Answer the question using a single word or phrase.

[Assistant] 21

[User]
if each digit in the set a = { 1, 2, 3, 4, 5, 6, 7, 8 } is used exactly once, in how many ways can the digits be arranged?
Answer the question using a single word or phrase.

[Assistant] 40,320

[User]
mark and ann together were allocated n boxes of cookies to sell for a club project. mark sold 8 boxes less than n and ann sold 2 boxes less than n. if mark and ann have each sold at least one box of cookies, but together they have sold less than n boxes, what is the value of n?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
a store reduced the price of all items in the store by 9 % on the first day and by another 10 % on the second day. the price of items on the second day was what percent of the price before the first reduction took place?
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[Assistant] 81.9

[User]
the maximum number of students among them 890 pens and 630 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
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[Assistant] 10


[User]
a certain bacteria colony doubles in size every day for 22 days, at which point it reaches the limit of its habitat and can no longer grow. if two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat ’ s limit?
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[Assistant] 21

[User]
on a purchase of $ 110, a store offered a payment plan consisting of a $ 10 down payment and 12 monthly payments of $ 10 each. what percent of the purchase price, to the nearest tenth of a percent, did the customer pay in interest by using this plan?
Answer the question using a single word or phrase.

[Assistant] 9.1 %

[User]
laura took out a charge account at the general store and agreed to pay 9 % 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] $ 38.15

[User]
a car started running at a speed of 30 km / hr and the speed of the car was increased by 2 km / hr at the end of every hour. find the total distance covered by the car in the first 9 hours of the journey.
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[Assistant] 342 km

[User]
the sum of two numbers is 72, and one of them is 12 more than the other. what are the two numbers?
Answer the question using a single word or phrase.

[Assistant] 30 - 42


[User]
bob wants to run a mile in the same time as his sister. if bob ’ s time for a mile is currently 10 minutes 20 seconds and his sister ’ s time is currently 9 minutes 36 seconds, by what percent does bob need to improve his time in order run a mile in the same time as his sister?
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[Assistant] 7 %

[User]
which digits should come in place of * and $ if the number 62684 * $ is divisible by both 8 and 5?
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[Assistant] 4,0

[User]
an amount of money is to be divided between p, q and r in the ratio of 3 : 7 : 12. if the difference between the shares of p and q is rs. 3200, what will be the difference between q and r's share?
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[Assistant] 4000

[User]
a man can row downstream at 24 kmph and upstream at 10 kmph. find the speed of the man in still water and the speed of stream respectively?
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[Assistant] 17, 7

[User]
john purchased a grinder and a mobile for rs. 15000 & rs. 8000 respectively. he sold the grinder at a loss of 4 % and the mobile phone at a profit of 15 %. overall how much he make a profit.
Answer the question using a single word or phrase.

[Assistant] s. 600


[User]
if 5 - 5 / x = 4 + 4 / x, then x =
Answer the question using a single word or phrase.

[Assistant] 9

[User]
the sum of the squares of two numbers is 3341 and the diference of their squares is 891. the numbers are :
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[Assistant] 35 and 46

[User]
two trains are moving in opposite direction @ 60 kmph and 90 kmph. their lengths are 1.10 km and 0.9 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] 48

[User]
a sum amounts to rs. 8820 in 2 years at the rate of 5 % p. a. if interest was compounded yearly then what was the principal?
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[Assistant] s. 8000

[User]
a gardener wants to plant trees in his garden in rows in such away that the number of trees in each row to be the same. if there are 24 rows the number of trees in each row is 42 if there are 12 more rows find the number of trees in each row?
Answer the question using a single word or phrase.

[Assistant] 28


[User]
a contractor undertook to do a piece of work in 10 days. he employed certain number of laboures but 5 of them were absent from the very first day and the rest could finish the work in only 13 days. find the number of men originally employed?
Answer the question using a single word or phrase.

[Assistant] 21.6

[User]
a string of 25 light bulbs is wired in such a way that if any individual light bulb fails, the entire string fails. if for each individual light bulb the probability of failing during time period t is 0.06, what is the probability that the string of light bulbs will fail during the time period t?
Answer the question using a single word or phrase.

[Assistant] 1 - ( 0.94 ) ^ 25

[User]
in a race where 16 cars are running, the chance that car x will win is 1 / 4, that y will win is 1 / 12 and that z will win is 1 / 7. assuming that a dead heat is impossible, find the chance that one of them will win.
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[Assistant] 10 / 21

[User]
a certain machine produces 650 units of product p per hour. working continuously at this constant rate, this machine will produce how many units of product p in 7 days?
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[Assistant] 109,200

[User]
a 20 % stock yielding 10 % is quoted at :
Answer the question using a single word or phrase.

[Assistant] 200


[User]
a cricket player whose bowling average was 24.50 runs per wicket, takes 5 wicket for 52 runs in a match. due to this his average decreases by 0.50. what will be the number of wickets taken by him till the last match?
Answer the question using a single word or phrase.

[Assistant] 141

[User]
sides of a rectangular park are in the ratio 3 : 2 and its area is 3750 sq m, the cost of fencing it at 20 ps per meter is?
Answer the question using a single word or phrase.

[Assistant] s. 95

[User]
a polling company found that, of 300 households surveyed, 120 spent at least $ 100 per month on both gasoline and electricity, 60 spent at least $ 100 per month on gasoline but not on electricity, and for every household that did not spend at least $ 100 per month on gasoline or electricity, 4 spent at least $ 100 per month on electricity but not on gasoline. how many of the 300 households did not spend at least $ 100 per month on either gasoline or electricity?
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[Assistant] 24

[User]
the cash realised on selling a 14 % stock is rs. 107.25, brokerage being 1 / 4 % is?
Answer the question using a single word or phrase.

[Assistant] 107

[User]
a shopkeeper sold an article offering a discount of 5 % and earned a profit of 38.7 %. what would have been the percentage of profit earned if no discount had been offered?
Answer the question using a single word or phrase.

[Assistant] 46


[User]
the price of rice is reduced by 2 %. how many kilograms of rice can now be bought for the money which was sufficient to buy 49 kg of rice earlier?
Answer the question using a single word or phrase.

[Assistant] 50 kg

[User]
set a contains all the even numbers between 10 and 50 inclusive. set b contains all the even numbers between 110 and 150 inclusive. what is the difference between the sum of elements of set b and the sum of the elements of set a?
Answer the question using a single word or phrase.

[Assistant] 2100

[User]
what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 15 nor by 20?
Answer the question using a single word or phrase.

[Assistant] 887

[User]
if x is an integer such that 5 < x < 21, 7 < x < 18, 13 > x > 2, 12 > x > 9, and x + 1 < 13, then x is
Answer the question using a single word or phrase.

[Assistant] 11

[User]
the cost of registration at a professional association meeting was $ 50 per person ; a lunch for registrants only was available for an additional $ 22 per person. if the number of registrants who paid for lunch was 20 more than the number who did not, and if receipts for registration and lunch totaled $ 50,240, how many people paid just for registration at the meeting?
Answer the question using a single word or phrase.

[Assistant] 400


[User]
23, 29, 31, 37, 41, 43, 47, (... )
Answer the question using a single word or phrase.

[Assistant] 53

[User]
the denominator of a fraction is 15 greater than the numerator. if the numerator and the denominator are increased by 3, the resulting fraction is equal to 3 â  „ 4. what is the value of the original fraction?
Answer the question using a single word or phrase.

[Assistant] 42 / 57

[User]
a and b started a business investing rs. 50,000 and rs 20,000 respectively. in what ratio the profit earned after 2 years be divided between a and b respectively?
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[Assistant] 5 : 2

[User]
a grocer has a sale of rs. 6345, rs. 6927, rs. 6855, rs. 7230 and rs. 6562 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs. 6500?
Answer the question using a single word or phrase.

[Assistant] rs. 4991

[User]
at deluxe paint store, fuchsia paint is made by mixing 4 parts of red paint with 2 parts of blue paint. mauve paint is made by mixing 3 parts of red paint with 6 parts blue paint. how many liters of blue paint must be added to 24 liters of fuchsia to change it to mauve paint?
Answer the question using a single word or phrase.

[Assistant] 24


[User]
h. c. f of 136, 144 and a third number is 8 and their l. c. m is 2 ^ 4 * 3 ^ 2 * 17 * 7. the third number is :
Answer the question using a single word or phrase.

[Assistant] 168

[User]
from the beginning to the end of 2007, the price of a stock rose 20 percent. in 2008, it dropped 25 percent. in 2009, it rose 25 percent. what percent of the stock â € ™ s 2007 starting price was the price of the stock at the end of 2009?
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[Assistant] 112.5

[User]
express a speed of 70 kmph in meters per second?
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[Assistant] 19.44 mps

[User]
if n = ( 33 ) ^ 43 + ( 43 ) ^ 32 what is the units digit of n?
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[Assistant] 2

[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 20 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?
Answer the question using a single word or phrase.

[Assistant] 25 %


[User]
total 60 cows 20 cow gives each 2 liter milk 20 cow gives each 3 / 4 liter milk 20 cow gives each 1 / 4 liter milk this is split into 3 son per each 20 cows & 20 liter milk how?
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[Assistant] 20

[User]
x starts a business with rs. 45000. y joins in the business after 5 months with rs. 30000. what will be the ratio in which they should share the profit at the end of the year?
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[Assistant] 18 : 7

[User]
ashok and pyarelal invested money together in a business and share a capital of ashok is 1 / 9 of that of pyarelal. if the incur a loss of rs 2000 then loss of pyarelal?
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[Assistant] 1800

[User]
a sum of money is to be distributed among a, b, c, d in the proportion of 5 : 2 : 4 : 3. if c gets rs. 1200 more than d, what is b's share?
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[Assistant] rs. 2400

[User]
a store sells chairs and tables. if the price of 2 chairs and 1 table is 60 % of the price of 1 chair and 2 tables, and the price of 1 table and 1 chair is $ 60, what is the price, in dollars, of 1 table? ( assume that every chair has the same price and every table has the same price. )
Answer the question using a single word or phrase.

[Assistant] 105 / 2


[User]
you hold some gold in a vault as an investment. over the past year the price of gold increases by 60 %. in order to keep your gold in the vault, you must pay 10 % 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] 44 %

[User]
if p and q are prime numbers, how many divisors does the product p ^ 4 * q ^ 9 have?
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[Assistant] 50

[User]
30 is subtracted from 40 % of a number, the result is 50. find the number?
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[Assistant] 200

[User]
calculate how many days it will take for 5 boys to paint a 65 m long wall if 2 boys can paint a 40 m long wall in 4 days,
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[Assistant] 2.6 days

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


[User]
if it is a 3 x 3 matrix, for which elements in first row are ( v, 50, w ), second row ( 196, x, y ) and in third row are ( 269, z, 123 ). it is given that the sum of the numbers in each row, column, diagonal are same. then find the value of ( y + z ).
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[Assistant] 1122

[User]
in an examination 35 % of the students passed and 455 failed. how many students appeared for the examination?
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[Assistant] 700

[User]
a bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. if the total value is 140, how many coins of each type are there?
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[Assistant] 80 coins

[User]
a 80 gallon solution of salt and water is 10 % salt. how many gallons of water must be added to the solution in order to decrease the salt to 8 % of the volume?
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[Assistant] 20

[User]
what least value should be replaced by * in 223431 * so the number become divisible by 5
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[Assistant] 0


[User]
the average height of 35 boys in a class was calculated as 184 cm. it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. find the actual average height of the boys in the class ( round off your answer to two decimal places?
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[Assistant] 182.29 cm

[User]
a certain country had a total annual expenditure of $ 2.4 x 10 ^ 11 last year. if the population of the country was 240 million last year, what was the per capita expenditure?
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[Assistant] $ 1,000

[User]
there were two candidates in an election. winner candidate received 62 % of votes and won the election by 336 votes. find the number of votes casted to the winning candidate?
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[Assistant] 868

[User]
a train running at the speed of 60 km / hr crosses a pole in 3 seconds. what is the length of the train?
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[Assistant] 50 metres

[User]
jennifer had $ 90 to spend on herself. she spent 1 / 5 of the money on a sandwich, 1 / 6 for a ticket to a museum, and 1 / 2 of it on a book. how much money does jennifer have left over?
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[Assistant] $ 12


[User]
what is the remainder when 1273 * 1275 * 1277 * 1285 is divided by 12?
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[Assistant] 9

[User]
find large number from below question the difference of two numbers is 1335. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
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[Assistant] 1599

[User]
in a sample of college students, 20 percent are third year students and 80 percent are not second - year students. what fraction of those students who are not third - year students are second - year students?
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[Assistant] 1 / 4

[User]
what is the product of all the possible values of x if x ^ 2 - 9 x + 20?
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[Assistant] 20

[User]
in a group of ducks and cows, the total number of legs are 28 more than twice the number of heads. find the total number of cows.
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[Assistant] 14


[User]
a dog takes 3 leaps for every 8 leaps of a hare. if one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is :
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[Assistant] 9 : 8

[User]
a certain no. when divided by 50 leaves a remainder 25, what is the remainder if the same no. be divided by 15?
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[Assistant] 5

[User]
a retailer bought a coat at wholesale and marked it up 90 % to its initial price of $ 76. by how many more dollars does he need to increase the price to achieve a 100 % markup?
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[Assistant] 4

[User]
if bat = 58 hat = 52 cat = 57 then whats rat =?
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[Assistant] 42

[User]
( 700 + 200 ) ã — 4 ã — ( 4 + 2 ) =?
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[Assistant] 21600


[User]
there are 5 chess amateurs playing in villa's chess club tournament. if each chess amateur plays with exactly 16 other amateurs, what is the total number of chess games possible to be played in the tournament?
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[Assistant] 40

[User]
find the highest common factor of 36 and 84.
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[Assistant] 12

[User]
a basket contains 7 apples, of which 1 is spoiled and the rest are good. if we select 2 apples from the basket simultaneously and at random, what is the probability that the 2 apples selected will include the spoiled apple?
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[Assistant] 2 / 7

[User]
the cost price of a radio is rs. 1500 and it was sold for rs. 1275, find the loss %?
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[Assistant] 15 %

[User]
a boat can travel with a speed of 22 km / hr in still water. if the speed of the stream is 5 km / hr, find the time taken by the boat to go 54 km downstream
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[Assistant] 2 hours


[User]
the sum of the ages of 5 children born at the intervals of 3 year each is 60 year. what is the age of the eldest child?
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[Assistant] 18 year

[User]
the average age of 15 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men. the average age of the two new men is
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[Assistant] 37

[User]
how long does a train 110 m long running at the speed of 90 km / hr takes to cross a bridge 132 m length?
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[Assistant] 9.68 sec

[User]
sum of the numbers from 1 to 29 is
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[Assistant] 435

[User]
20 percent of the programmers in a startup company weigh 200 pounds or more. 20 - 5 percent of the programmers that are under 200 pounds in that same company weigh 100 pounds or less. what percent of the programmers in the startup company weigh between 100 and 200 pounds?
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[Assistant] 60 %


[User]
lisa and robert have taken the same number of photos on their school trip. lisa has taken 3 times as many photos as claire and robert has taken 12 more photos than claire. how many photos has claire taken?
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[Assistant] 6

[User]
a man has rs. 10350 in the form of rs. 50 notes and rs. 500 notes. the total number of notes are 72. find the number of notes of rs. 50 denomination.
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[Assistant] 57

[User]
mike earns $ 17.5 per hour and phil earns $ 10.5 per hour. approximately how much less, as a percentage, does phil earn than mike per hour?
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[Assistant] 40 %

[User]
it takes avery 3 hours to build a brick wall while tom can do it in 5 hours. if the two start working together and after an hour avery leaves, how much time will it take tom to complete the wall on his own?
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[Assistant] 140

[User]
a flagpole 18 meters high casts a shadow of length 45 meters. if a building under similar conditions casts a shadow of length 65 meters, what is the height of the building ( in meters )?
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[Assistant] 26


[User]
the simple interest and the true discount on a certain sum for a given time and at a given rate are rs. 85 and rs. 75 respectively. the sum is :
Answer the question using a single word or phrase.

[Assistant] 637.5

[User]
of the 13 employees in a certain department, 1 has an annual salary of 38,000, 2 have an annual salary of 45,700 each, 2 have an annual salary of 42,500 each, 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each. what is the median annual salary for the 13 employees?
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[Assistant] 45,700

[User]
a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many w ways can the test be completed if every question is unanswered?
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[Assistant] 625

[User]
if 36 men can do a piece of work in 25 hours, in how many hours will 12 men do it?
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[Assistant] 75

[User]
in assembling a bluetooth device, a factory uses one of two kinds of modules. one module costs $ 10 and the other one, that is cheaper, costs $ 6. the factory holds a $ 80 worth stock of 12 modules. how many of the modules in the stock are of the cheaper kind?
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[Assistant] 10


[User]
what is the value of ( 5 ) ^ - 5?
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[Assistant] 1 / 3125

[User]
rahim bought 40 books for rs. 600 from one shop and 20 books for rs. 240 from another. what is the average price he paid per book?
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[Assistant] s. 14

[User]
the salary of a, b, c, d, e is rs. 9000, rs. 5000, rs. 11000, rs. 7000, rs. 9000 per month respectively, then the average salary of a, b, c, d, and e per month is
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[Assistant] rs. 8200

[User]
at a local appliance manufacturing facility, the workers received a 40 % 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?
Answer the question using a single word or phrase.

[Assistant] 28 %

[User]
a grocer has a sale of rs. 7435, rs. 7920, rs. 7855, rs. 8230 and rs. 7560 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs. 7500?
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[Assistant] 6000


[User]
david obtained 96, 95, 82, 97 and 95 marks ( out of 100 ) in english, mathematics, physics, chemistry and biology what are his average marks?
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[Assistant] 93

[User]
if x = 5 and y = − 2, what is the value of ( x − 2 y ) ^ y?
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[Assistant] 0.01

[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. 8100. if his salary for the month of may is rs. 6500, find his salary for the month of january?
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[Assistant] 6100

[User]
a invested some money in 10 % stock at 96. if b wants to invest in an equally good 12 % stock, he must purchase a stock worth of :
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[Assistant] rs. 115.20

[User]
a watch was sold at a loss of 8 %. if it was sold for rs. 140 more, there would have been a gain of 4 %. what is the cost price?
Answer the question using a single word or phrase.

[Assistant] 1167


[User]
a, band c enter into partnership. a invests 3 times as much as b and b invests two - third of what c invests. at the end of the year, the profit earned is rs. 4400. what is the share of b?
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[Assistant] 800

[User]
j is 25 % less than p and 20 % less than t. t is e % less than p. what is the value of e?
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[Assistant] 6.25

[User]
walking at 5 / 6 th of its usual speed a cab is 12 mnts late. find its usual time to cover the journey?
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[Assistant] 60 m

[User]
6 points lie on the circumference of a ellipse. what is the positive difference between the number of triangles and the number of quadrilaterals that can be created by connecting these points?
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[Assistant] 5

[User]
the denominator of a fraction is 1 less than twice the numerator. if the numerator and denominator are both increased by 1, the fraction becomes 3 / 5. find the fraction?
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[Assistant] 5 / 9


[User]
set s consists of integers { 13, 57 }. if two numbers are chosen from set s at random, what is the probability that the product of 2 numbers is more than 15?
Answer the question using a single word or phrase.

[Assistant] 1 / 3

[User]
a dealer offers a cash discount of 20 % and still makes a profit of 20 % when he further allows 10 articles to be sold at the cost price of 9 articles to a particular sticky bargainer. how much percent above the cost price were his articles listed?
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[Assistant] 66 + ( 2 / 3 ) %

[User]
in a certain warehouse, 40 percent of the packages weigh less than 75 pounds, and a total of 48 packages weigh less than 25 pounds. if 80 percent of the packages weigh at least 25 pounds, how many of the packages weigh at least 25 pounds but less than 75 pounds?
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[Assistant] 48

[User]
if 0.5 % of a = 95 paise, then the value of a is?
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[Assistant] rs. 190

[User]
a company produces 60000 bottles of water everyday. if a case can hold 5 bottles of water. how many cases are required by the company to hold its one day production
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[Assistant] 12000


[User]
a hiker walking at a constant rate of 5 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 25 kilometers per hour. the cyclist stops and waits 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] 20

[User]
each employee of company x is a member of precisely 1 of 3 shifts of employees. among the 60 members of the first shift, 20 percent participate in the pension program ; among the 50 members of the second shift, 40 percent participate in the pension program ; and among the 40 members of the third shift, 10 percent participate in the pension program. what percent of the workers at company x participate in the pension program?
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[Assistant] 24 %

[User]
a farmer spent $ 35 on feed for chickens and goats. he spent 40 % money on chicken feed, which he bought at a 60 % discount off the full price, and spent the rest on goat feed, which he bought at full price. if the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on the chicken feed and goat feed combined?
Answer the question using a single word or phrase.

[Assistant] $ 51

[User]
the ratio of the amount of the oil bill for the month of february to the amount of the oil bill for the month of january was 5 : 4. if the oil bill for february had been $ 30 more, the corresponding ratio would have been 3 : 2. how much was the oil bill for january?
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[Assistant] $ 120

[User]
a driver goes on a trip of 50 kilometers, the first 25 kilometers at 66 kilometers per hour and the remaining distance at 33 kilometers per hour. what is the average speed of the entire trip in kilometers per hour?
Answer the question using a single word or phrase.

[Assistant] 44


[User]
if a book is sold at 6 % profit instead of 6 % loss, it would have brought rs 15 more. find out the cost price of the book
Answer the question using a single word or phrase.

[Assistant] 125

[User]
at what rate percent per annum will a sum of money double in 10 years?
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[Assistant] 10 %

[User]
the average of 9 observations was 5, that of the 1 st of 5 being 10 and that of the last 5 being 8. what was the 5 th observation?
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[Assistant] 45

[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 600 shares of the company's stock?
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[Assistant] $ 312

[User]
in 2008, the profits of company n were 10 percent of revenues. in 2009, the revenues of company n fell by 20 percent, but profits were 10 percent of revenues. the profits in 2009 were what percent of the profits in 2008?
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[Assistant] 80 %


[User]
bag a contains red, white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3. bag b contains red and white marbles in the ratio of 1 : 4. together, the two bags contain 60 white marbles. how many red marbles could be in bag a?
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[Assistant] 12

[User]
solution a is 20 % barium and solution b is 80 % barium. if you have 30 ounces of solution a and 60 ounces of solution b, in what ratio could you mix solution a with solution b to produce 50 ounces of a 50 % barium solution?
Answer the question using a single word or phrase.

[Assistant] 4 : 4

[User]
a cyclist bikes x distance at 12 miles per hour and returns over the same path at 8 miles per hour. what is the cyclist's average rate for the round trip in miles per hour?
Answer the question using a single word or phrase.

[Assistant] 9.6

[User]
in a certain city, 60 percent of the registered voters are democrats and the rest are republicans. in a mayoral race, if 85 percent of the registered voters who are democrats and 20 percent of the registered voters who are republicans are expected to vote for candidate a, what percent of the registered voters are expected to vote for candidate a?
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[Assistant] 59 %

[User]
while driving from a - ville to b - town, harriet drove at a constant speed of 100 kilometers per hour. upon arriving in b - town, harriet immediately turned and drove back to a - ville at a constant speed of 150 kilometers per hour. if the entire trip took 5 hours, how many minutes did it take harriet to drive from a - ville to b - town?
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[Assistant] 180


[User]
find the value for x from below equation : x / 3 = - 7?
Answer the question using a single word or phrase.

[Assistant] - 21

[User]
at a speed of 50 miles per hour, a certain car uses 1 gallon of gasoline every 30 miles. if the car starts with a full 15 gallon tank of gasoline and travels for 5 hours at 50 miles per hour, the amount of gasoline used would be what fraction of a full tank?
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[Assistant] 5 / 9

[User]
by selling an article at rs. 150, a profit of 25 % is made. find its cost price?
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[Assistant] s. 120

[User]
eddy and freddy start simultaneously from city a and they travel to city b and city c respectively. eddy takes 3 hours and freddy takes 4 hours to complete the journey. if the distance between city a and city b is 600 kms and city a and city c is 360 kms. what is the ratio of their average speed of travel? ( eddy : freddy )
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[Assistant] 20 / 9

[User]
a company has 15 managers and 75 associates. the 15 managers have an average salary of $ 120,000. the 75 associates have an average salary of $ 30,000. what is the average salary for the company?
Answer the question using a single word or phrase.

[Assistant] $ 45,000


[User]
the difference between simple and compound interests on a certain sum for 2 years at 4 % per annum is rs. 50. the sum is
Answer the question using a single word or phrase.

[Assistant] rs. 31,250

[User]
if a certain number is divided by 3, the quotient, dividend, and divisor, added together, will amount to 63. what is the number?
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[Assistant] 45

[User]
an electric pump can fill a tank in 7 hours. because of a leak in the tank, it took 14 hours to fill the tank. if the tank is full, how much time will the leak take to empty it?
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[Assistant] 14 hours

[User]
a vendor sells 30 percent of the apples he had and throws away 20 percent of the remainder. the next day, the vendor sells 50 percent of the remaining apples and throws away the rest. in total, what percent of his apples does the vendor throw away?
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[Assistant] 42

[User]
if log 2 = 0.3010 and log 3 = 0.4771, the values of log 5 512 is
Answer the question using a single word or phrase.

[Assistant] 3.875


[User]
79 laboratories raise the bacterium, the laboratory have 48 culture dishes on average, which has about 25,071 bacteria each. how many bacteria are there approximately?
Answer the question using a single word or phrase.

[Assistant] 10 ^ 8

[User]
there is a train and car. the ratio btw the speed of a train & a car is 16 : 15 respectively. also, a bus covered a distance of 480 km in 8 h. the speed of the bus is 3 / 4 th of the speed of the train. how much distance will the car cover in 6 h?
Answer the question using a single word or phrase.

[Assistant] 450 km

[User]
how many different pairs of positive integers ( a, b ) satisfy the equation 1 / a + 1 / b = 34 / 41?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
if the simple interest on a sum of money for 2 years at 5 % per annum is rs. 50, what is the compound interest on the same at the same rate and for the same time?
Answer the question using a single word or phrase.

[Assistant] rs. 51.25

[User]
of 61 players on a cricket team, 37 are throwers. the rest of the team is divided so one third are left - handed and the rest are right handed. assuming that all throwers are right handed, how many right - handed players are there total?
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[Assistant] 53


[User]
what is the remainder when 7 ^ 498 is divided by 5?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
a person bought 118 glass bowls at a rate of rs. 12 per bowl. he sold 102 of them at rs. 15 and the remaining broke. what is the percentage gain for a?
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[Assistant] 475 / 59

[User]
an engineering student has to secure 36 % marks to pass. he gets 130 marks and fails by 14 marks. the maximum no. of marks obtained by him is?
Answer the question using a single word or phrase.

[Assistant] 400

[User]
he ratio between the sale price and the cost price of an article is 7 : 5. what is the ratio between the profit and the cost price of that article?
Answer the question using a single word or phrase.

[Assistant] 2 : 5

[User]
what is the cp of rs 100 stock at 2 discount, with 1 / 5 % brokerage?
Answer the question using a single word or phrase.

[Assistant] 98.2


[User]
two trains of length 100 meters and 200 meters are 840 meters apart. they are moving towards each other on parallel tracks, at speeds of 54 km / h and 72 km / h. after how many seconds will the trains meet?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
if a man walks to his office at ¾ of his usual rate, he reaches office 1 / 3 of an hour late than usual. what is his usual time to reach office?
Answer the question using a single word or phrase.

[Assistant] 1 hour

[User]
a batsman in his 15 th innings makes a score of 85, and thereby increases his average by 3. what is his average after the 15 th innings? he had never been ’ not out ’.
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[Assistant] 43

[User]
a candidate appearing for an examination has to secure 40 % marks to pass paper i. but he secured only 40 marks and failed by 20 marks. what is the maximum mark for paper i?
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[Assistant] 150

[User]
two - third of a positive number and 49 / 216 of its reciprocal are equal. the number is :
Answer the question using a single word or phrase.

[Assistant] 7 / 12


[User]
a 160 meter long train crosses a man standing on the platform in 16 sec. what is the speed of the train?
Answer the question using a single word or phrase.

[Assistant] 36 kmph

[User]
a race course is 400 m long. aa and bb run a race and aa wins by 5 m. bb and cc run over the same course and bb win by 4 m. cc and dd run over it and dd wins by 16 m. if aa and dd run over it, then who would win and by how much?
Answer the question using a single word or phrase.

[Assistant] 7.2 m

[User]
a boat takes 19 hours for travelling downstream from point a to point b and coming back to a point c midway between a and b. if the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between a and b?
Answer the question using a single word or phrase.

[Assistant] 180 km

[User]
12.5 * 4.2 * 8.8 =?
Answer the question using a single word or phrase.

[Assistant] 462

[User]
sonika bought a v. c. r. at the list price of 18,900. if the rate of sales tax was 8 %, find the amount she had to pay for purchasing the v. c. r.
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[Assistant] 20,412


[User]
you collect baseball cards. suppose you start out with 21. maria takes half of one more than the number of baseball cards you have. since you're nice, you give peter 1 baseball card. since his father makes baseball cards, paul decides to triple your baseball cards. how many baseball cards do you have at the end?
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[Assistant] 27

[User]
a man's speed with the current is 18 km / hr and the speed of the current is 3.4 km / hr. the man's speed against the current is
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[Assistant] 11.2

[User]
in town p, 60 percent of the population are employed, and 48 percent of the population are employed males. what percent of the employed people in town p are females?
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[Assistant] 20 %

[User]
average monthly income of a family of 4 earning members was rs. 782. one of the earning members died and therefore, the average income came down to rs 650. the income of the deceased was?
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[Assistant] rs. 1178

[User]
how many words, with or without meaning, can be formed using all letters of the word equation using each letter exactly once?
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[Assistant] 40,320


[User]
a train 350 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] 21 sec

[User]
what is remainder of the division ( 1125 * 1127 * 1129 ) / 12?
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[Assistant] 3

[User]
the average salary of all the workers in a workshop is rs. 8000. the average salary of 7 technicians is rs. 8000 and the average salary of the rest is rs. 6000. the total number of workers in the workshop is
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[Assistant] 7

[User]
0.0005? = 0.01
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[Assistant] 0.05

[User]
a library has an average of 140 visitors on sundays and 80 on other days. the average number of visitors per day in a month of 30 days beginning with a sunday is :
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[Assistant] 90


[User]
the diagonal of a rhombus are 62 m and 80 m. its area is :
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[Assistant] 2480

[User]
the distance from city a to city b is 180 miles. while driving from city a to city b, bob drives at a constant speed of 40 miles per hour. alice leaves city a 30 minutes after bob. what is the minimum constant speed in miles per hour that alice must exceed in order to arrive in city b before bob?
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[Assistant] 45

[User]
a soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. during the annual summer sale, everything in the store is an additional 20 percent off the original list price. if a replica jersey's list price is $ 80, approximately what percent of the list price is the lowest possible sale price?
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[Assistant] 40

[User]
find the least number must be added to 228712 so that remaining no. is divisible by 9?
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[Assistant] 5

[User]
how many revolutions will a circular wheel make to travel a distance of 3 km, given that the radius is 2.4 m?
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[Assistant] 11085.7


[User]
if 4 gallons of gasoline are added to a tank that is already filled to 3 / 4 of its capacity, the tank is then filled to 9 / 10 of its capacity. how many gallons does the tank hold?
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[Assistant] 24

[User]
a drink vendor has 50 liters of maaza, 144 liters of pepsi and 368 liters of sprite. he wants to pack them in cans, so that each can contains the same number of liters of a drink, and does n't want to mix any two drinks in a can. what is the least number of cans required?
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[Assistant] 281

[User]
express a speed of 36 kmph in meters per second?
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[Assistant] 10 mps

[User]
a woman invested $ 1,000, part at 5 % and the rest at 6 %. her total investment with interest at the end of the year was $ 1,051. how much did she invest at 5 %?
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[Assistant] $ 900

[User]
in a class, 9 students like to play basketball and 8 like to play cricket. 6 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] 11


[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 7000, the number of valid votes that the other candidate got, was :
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[Assistant] 2520

[User]
if daily wages of a man is double to that of a woman, how many men should work for 10 days to earn rs. 14400? given that wages for 40 women for 30 days are rs. 21600.
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[Assistant] 40

[User]
two assembly line inspectors, lauren and steven, inspect widgets as they come off the assembly line. if lauren inspects every fifth widget, starting with the fifth, and steven inspects every third, starting with the third, how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector?
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[Assistant] 53

[User]
the rate of spin of a certain gyroscope doubled every 10 seconds from the moment a particular stopwatch started. if after a minute and a half the gyroscope reached a speed of 1600 meters per second, what was the speed, in meters per second, when the stopwatch was started?
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[Assistant] 25 / 8

[User]
last year manfred received 26 paychecks. each of his first 6 paychecks was $ 750 ; each of his remaining paychecks was $ 40 more than each of his first 6 paychecks. to the nearest dollar, what was the average ( arithmetic mean ) amount of his pay checks for the year?
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[Assistant] $ 781


[User]
if two different solutions of alcohol with a respective proportion of water to alcohol of 3 : 1 and 2 : 3 were combined, what is the concentration of alcohol in the new solution if the original solutions were mixed in equal amounts?
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[Assistant] 42.5 %

[User]
if the sum of 3 consecutive even numbers is 44 more than the average of these numbers, then the largest of these numbers is?
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[Assistant] 24

[User]
a man swims downstream 72 km and upstream 45 km taking 9 hours each time ; what is the speed of the current?
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[Assistant] 1.5 kmph

[User]
solution y is 30 percent liquid x and 70 percent water. if 4 kilograms of water evaporate from 8 kilograms of solution y and 4 kilograms of solution y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid x?
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[Assistant] 45 %

[User]
a grocer has a sale of rs. 6435, rs. 6927, rs. 6855, rs. 7230 and rs. 6562 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs. 6600?
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[Assistant] s. 5591


[User]
a can run 3 kms in 3 min 18 sec and b can run same distance in 3 min 40 sec, then by how much distance a can beat b?
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[Assistant] 300 m

[User]
22 cubic centimetres of silver is drawn into a wire 1 mm in diameter. the length of the wire in metres will be :
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[Assistant] 28 m

[User]
two cyclists are moving towards each other at 10 miles / hour. they are now 50 miles apart. at this instance a fly starts from one cyclist and move towards other and moves to and fro till the two cyclist meet each other. if the fly is moving at 15 miles / hour, what is the total distance covered by the fly?
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[Assistant] 37.5 miles

[User]
students at a school were on average 180 cm tall. the average female height was 170 cm, and the average male height was 184 cms. what was the ratio s of men to women?
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[Assistant] 5 : 2

[User]
the maximum numbers of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is
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[Assistant] 91


[User]
when a train travels at a speed of 100 kmph, it reaches the destination on time. when the same train travels at a speed of 50 kmph, it reaches its destination 15 min late. what is the length of journey?
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[Assistant] 15 km

[User]
a circle graph shows how the megatech corporation allocates its research and development budget : 10 % microphotonics ; 24 % home electronics ; 15 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics. if the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
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[Assistant] 50 °

[User]
a train running at the speed of 60 km / hr crosses a pole in 3 sec. what is the length of the train?
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[Assistant] 50

[User]
if the compound interest on a certain sum of money for 3 years at 10 % per annum be rs. 993, what would be the simple interest?
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[Assistant] rs. 900

[User]
what least number must be subtracted from 427398 so that remaining no. is divisible by 13
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[Assistant] 10