[User]
when n is divided by 27, the remainder is 4. what is the remainder when n + 16 is divided by 7?
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[Assistant] 4

[User]
jar a has 16 % more marbles than jar b. what percent of marbles from jar a need to be moved into jar b so that both jars have equal marbles?
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[Assistant] 7 %

[User]
a and b started a business investing rs. 21,000 and rs. 28,000 respectively. out of a total profit of rs. 14,000, b ’ s share is :
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[Assistant] 8000

[User]
a merchant marks goods up by 75 % and then offers a discount on the marked price. the profit that the merchant makes after offering the discount is 5 %. what % discount did the merchant offer?
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[Assistant] 40 %

[User]
find the expenditure on digging a well 14 m deep and of 3 m diameter at rs. 17 per cubic meter?
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[Assistant] 1683


[User]
1370, 1320, 1070, x, - 6430
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[Assistant] - 180

[User]
if ( 27 / 4 ) x - 18 = 3 x + 27 what is the value of x?
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[Assistant] 12

[User]
if the average marks of 3 classes of 55, 60 and 45 students respectively is 50, 55, 60, then find the average marksof all the students is
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[Assistant] 54.68

[User]
the batting average of a particular batsman is 63 runs in 46 innings. if the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs, find his highest score.
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[Assistant] 248

[User]
a lady builds 10 cm length, 13 cm width, and 5 cm height box using 5 cubic cm cubes. what is the minimum number of cubes required to build the box?
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[Assistant] 130


[User]
a train 275 m long is running with a speed of 60 km / hr. in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going?
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[Assistant] 15

[User]
when 2 + 3 = 65, 3 + 4 = 125, 4 + 5 = 205, then 5 + 6 =?
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[Assistant] 305

[User]
a certain experimental mathematics program was tried out in 2 classes in each of 22 elementary schools and involved 31 teachers. each of the classes had 1 teacher and each of the teachers taught at least 1, but not more than 3, of the classes. if the number of teachers who taught 3 classes is n, then the least and greatest possible values of n, respectively, are
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[Assistant] 1 and 6

[User]
a is twice as good a work man as b and together they finish a piece of work in 24 days. the number of days taken by a alone to finish the work is :
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[Assistant] 36 days.

[User]
what will be the difference between simple and compound interest at 12 % per annum on a sum of rs. 1000 after 4 years?
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[Assistant] 93.5


[User]
a train 360 m long is running at a speed of 45 km / hr. in what time will it pass a bridge 290 m long?
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[Assistant] 52 sec

[User]
q ' = 3 q - 3, what is the value of ( 7 ' ) '?
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[Assistant] 306

[User]
find the ratio in which rice at rs. 7.20 a kg be mixed with rice at rs. 5.50 a kg to produce a mixture worth rs. 6.30 a kg
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[Assistant] 8 : 9

[User]
a grocer has a sale of rs. 5400, rs. 9000, rs. 6300, rs. 7200 and rs. 4500 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs. 5600?
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[Assistant] s. 1200

[User]
marginal cost is the cost of increasing the quantity produced ( or purchased ) by one unit. if the fixed cost for n products is $ 12000 and the marginal cost is $ 200, and the total cost is $ 16000, what is the value of n?
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[Assistant] 20


[User]
$ 392 is divided among a, b, and c so that a receives half as much as b, and b receives half as much as c. how much money is c's share?
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[Assistant] $ 224

[User]
the cyclist walking at a constant rate of 15 miles per hour is passed by a car traveling in the same direction along the same path at 60 miles per hour. the car stops to wait for the cyclist for 6 minutes after passing her, while the cyclist continues to go at her constant rate, how many minutes must the car wait until the cyclist catches up?
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[Assistant] 18

[User]
the value for d = ( 0.889 × 55 ) / 9.97 to the nearest tenth is
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[Assistant] 4.9

[User]
find the least number which when divided by 37 and 7 leaves a remainder of 2 in each case.
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[Assistant] 261

[User]
by approximately what percent is x greater than 2 / 5 if ( 3 / 5 ) ( x ) = 1?
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[Assistant] 316 %


[User]
a furniture store owner decided to drop the price of her recliners by 20 % to spur business. by the end of the week she had sold 60 % more recliners. what is the percentage increase of the gross?
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[Assistant] 28 %

[User]
10 play kabadi, 25 play kho kho only, 5 play both gmaes. then how many in total?
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[Assistant] 35

[User]
on dividing a number by 5, we get 5 as quotient and 0 as remainder. on dividing the same number by 11, what will be the remainder?
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[Assistant] 3

[User]
if the area of a square with sides of length 8 centimeters is equal to the area of a rectangle with a width of 4 centimeters, what is the length of the rectangle, in centimeters?
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[Assistant] 16

[User]
the average salary of 15 people in the shipping department at a certain firm is $ 21,000. the salary of 5 of the employees is $ 25,000 each and the salary of 4 of the employees is $ 16,000 each. what is the average salary of the remaining employees?
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[Assistant] $ 21,000


[User]
walking at the rate of 3 kmph a man cover certain distance in 6 hr 40 min. running at a speed of 18 kmph the man will cover the same distance in.
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[Assistant] 54 min

[User]
two brothers took the gmat exam, the higher score is u and the lower one is v. if the difference between the two scores is equal to their average, what is the value of v / u?
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[Assistant] 1 / 3

[User]
two trains 131 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. in what time will they be completely clear of each other from the moment they meet?
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[Assistant] 7.35

[User]
in the rectangular coordinate system, if the line x = 6 y + 5 passes through points ( m, n ) and ( m + 2, n + p ), what is the value of p?
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[Assistant] 1 / 3

[User]
the temperature of a certain cup of coffee 6 minutes after it was poured was 120 degrees fahrenheit. if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 * 2 ^ ( - at ) + 60, where f is in degrees fahrenheit and a is a constant. then the temperature of the coffee 30 minutes after it was poured was how many degrees fahrenheit?
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[Assistant] 63.75


[User]
a man can row his boat with the stream at 16 km / h and against the stream in 8 km / h. the man's rate is?
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[Assistant] 4 kmph

[User]
2.09 can be expressed in terms of percentage as
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[Assistant] 209 %

[User]
johnny bought 6 peanut butter cans at an average price ( arithmetic mean ) of 36.5 ¢. if johnny returned two cans to the retailer, and the average price of the remaining cans was 30 ¢, then what is the average price, in cents, of the two returned peanut butter cans?
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[Assistant] 49.5

[User]
a clockwise rotation around point z ( that is, a rotation in the direction of the arrow ) transforms the shaded quadrilateral to the unshaded quadrilateral. the angle of rotation is approximately
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[Assistant] 270 o

[User]
find the compound interest on $ 66,000 at 20 % per annum for 9 months, compounded quarterly
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[Assistant] 10403.25


[User]
if | x | = 4 x - 1, then x =?
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[Assistant] 3

[User]
the length of the bridge, which a train 120 metres long and travelling at 45 km / hr can cross in 30 seconds, is?
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[Assistant] 255 m

[User]
an uneducated retailer marks all his goods at 40 % above the cost price and thinking that he will still make 25 % profit, offers a discount of 25 % on the marked price. what is his actual profit on the sales?
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[Assistant] 5 %

[User]
dick and jane each saved $ 4,000 in 1989. in 1990 dick saved 10 percent more than in 1989, and together he and jane saved a total of $ 6,500. approximately what percent less did jane save in 1990 than in 1989?
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[Assistant] 70 %

[User]
if one positive integer is greater than another positive integer by 3, and the difference of their cubes is 189, what is their sum?
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[Assistant] 9


[User]
there are 16 bees in the hive, then 5 more fly. how many bees are there in all?
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[Assistant] 20

[User]
a special municipal payroll tax charges not tax on a payroll less than $ 250,000 and only 0.1 % on a company ’ s payroll above $ 250,000. if belfried industries paid $ 200 in this special municipal payroll tax, then they must have had a payroll of
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[Assistant] $ 450,000

[User]
for what value of x, is | x – 3 | + | x + 1 | + | x | = 11?
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[Assistant] - 3

[User]
an auction house charges a commission of 16 % on the first $ 50,000 of the sale price of an item, plus 10 % on the amount of of the sale price in excess of $ 50,000. what was the price of a painting for which the house charged a total commission of $ 24,000?
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[Assistant] $ 210,000

[User]
two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 13 kmph and 21 kmph respectively. when they meet, it is found that one train has traveled 60 km more than the other one. the distance between the two stations is?
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[Assistant] 408


[User]
some of the 50 % solution of acid was removed and this was replaced with an equal amount of 30 % solution of acid. as a result, a 40 % solution of acid was obtained. what fraction of the original solution was replaced?
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[Assistant] 1 / 2

[User]
in a certain brick wall, each row of bricks above the bottom row contains one less brick than the row just below it. if there are 5 rows in all and a total of 200 bricks in the wall, how many bricks does the bottom row contain?
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[Assistant] 38

[User]
a certain business school has 500 students, and the law school at the same university has 800 students. among these students, there are 30 sibling pairs consisting of 1 business student and 1 law student. if 1 student is selected at random from both schools, what is the probability that a sibling pair is selected?
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[Assistant] 3 / 40000

[User]
a number increased by 40 % gives 700. the number is
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[Assistant] 500

[User]
when positive integer k is divided by 5, the remainder is 2. when k is divided by 6, the remainder is 5. if k is less than 41, what is the remainder when k is divided by 7?
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[Assistant] 3


[User]
a person travels equal distances with speeds of 3 km / hr, 4 km / hr and 5 km / hr and takes a total time of 52 minutes. the total distance is?
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[Assistant] 3.3 km

[User]
a batch of cookies was divided among 3 tins : 2 / 3 of all the cookies were placed in either the blue tin or the green tin, and the rest were placed in the red tin. if 1 / 4 of all the cookies were placed in the blue tin, what fraction w of the cookies that were placed in the other tins were placed in the green tin?
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[Assistant] 5 / 9

[User]
two trains of equal lengths take 12 sec and 15 sec respectively to cross a telegraph post. if the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
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[Assistant] 13

[User]
the difference of two numbers is 11 and one - fifth of their sum is 9. find the numbers.
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[Assistant] 28 and 17

[User]
40 % of major airline companies equip their planes with wireless internet access. 70 % of major airlines offer passengers free on - board snacks. what is the greatest possible percentage of major airline companies that offer both wireless internet and free on - board snacks?
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[Assistant] 40 %


[User]
a boat moves down stream at the rate of 1 km in 6 minutes and upstream at the rate of 1 km in 10 minutes. the speed of current is
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[Assistant] 2 kmph

[User]
a certain car dealership sells economy cars, luxury cars, and sport utility vehicles. the ratio of economy to luxury cars is 5 : 2. the ratio of economy cars to sport utility vehicles is 4 : 3. what is the ratio of luxury cars to sport utility vehicles?
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[Assistant] 8 : 15

[User]
the sector of a circle has radius of 21 cm and central angle 130 o. find its perimeter?
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[Assistant] 89.7

[User]
the population of a city increases by 8 % per year but due to migration it decrease by 1 % per years. what will be the percentage increase in population in 3 years?
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[Assistant] 22.50 %

[User]
pipe a can fill a tank in 3 hours. due to a leak at the bottom, it takes 9 hours for the pipe a to fill the tank. in what time can the leak alone empty the full tank?
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[Assistant] 4.5


[User]
the radius of a semi circle is 4.8 cm then its perimeter is?
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[Assistant] 24.69

[User]
the number of stamps that p and q had were in the ratio of 9 : 2 respectively. after p gave q 33 stamps, the ratio of the number of p's stamps to the number of q's stamps was 6 : 5. as a result of the gift, p had how many more stamps than q?
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[Assistant] 11

[User]
a man can row a distance of 5 km in 60 min with the help of the tide. the direction of the tide reverses with the same speed. now he travels a further 40 km in 10 hours. how much time he would have saved if the direction of tide has not changed?
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[Assistant] 2

[User]
how many 3 - digit numerals end with a digit that represents a prime number?
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[Assistant] 400

[User]
machine a and machine b process the same work at different rates. machine c processes work as fast as machines a and b combined. machine d processes work 3 times as fast as machine c ; machine d ’ s work rate is also exactly 4 times machine b ’ s rate. assume all 4 machines work at fixed unchanging rates. if machine a works alone on a job, it takes 6 hours and 20 minutes. if all 4 machines work together on the same job simultaneously, how many minutes will it take all of them to complete it?
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[Assistant] 19


[User]
in a fuel station the service costs $ 1.50 per car, every liter of fuel costs 0.65 $. assuming that a company owns 12 cars and that every fuel tank contains 55 liters and they are all empty, how much money total will it cost to fuel all cars?
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[Assistant] 447 $

[User]
cole drove from home to work at an average speed of 60 kmh. he then returned home at an average speed of 90 kmh. if the round trip took a total of 2 hours, how many minutes did it take cole to drive to work?
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[Assistant] 72

[User]
a certain sum of money is divided among a, b and c so that for each rs. a has 80 paisa, b has 65 paisa and c 40 paisa. if c's share is rs. 40, find the sum of money?
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[Assistant] rs. 185

[User]
from a group of 5 boys and 5 girls, 6 children are to be randomly selected. what is the probability that 3 boys and 3 girls will be selected?
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[Assistant] 10 / 21

[User]
what is the area of square field whose side of length 14 m?
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[Assistant] 196


[User]
33 1 / 3 % of 270?
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[Assistant] 90

[User]
mr. hernandez, who was a resident of state x for only 8 months last year, had a taxable income of $ 22,500 for the year. if the state tax rate were 6 percent of the year ’ s taxable income prorated for the proportion of the year during which the taxpayer was a resident, what would be the amount of mr. hernandez ’ s state x tax for last year?
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[Assistant] $ 900

[User]
in an office in singapore there are 60 % female employees. 50 % of all the male employees are computer literate. if there are total 62 % employees computer literate out of total 1300 employees, then the no. of female employees who are computer literate?
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[Assistant] 546

[User]
each digit 1 through 5 is used exactly once to create a 5 - digit integer. if the 5 and the 4 can not be adjacent digits in the integer, how many 5 - digit integers are possible?
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[Assistant] 72

[User]
susan drove an average speed of 15 miles per hour for the first 40 miles of a tripthen at a average speed of 60 miles / hr for the remaining 20 miles of the trip if she made no stops during the trip what was susan's avg speed in miles / hr for the entire trip
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[Assistant] 20


[User]
the sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 480 m, its area is?
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[Assistant] 240

[User]
the perimeter of a semi circle is 113 cm then the radius is?
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[Assistant] 22

[User]
a boat having a length 4 m and breadth 3 m is floating on a lake. the boat sinks by 1 cm when a man gets on it. the mass of the man is :
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[Assistant] 120 kg

[User]
a train 450 m long running at 108 kmph crosses a platform in 25 sec. what is the length of the platform?
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[Assistant] 300

[User]
when the price of sugar was increased by 32 %, a family reduced its consumption in such a way that the expenditure on sugar was only 10 % more than before. if 30 kg were consumed per month before, find the new monthly consumption.
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[Assistant] 25 kg


[User]
find the 25 th term of an arithmetic progression whose first term is 5 and the common difference is 7.
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[Assistant] 173

[User]
in a graduating class, 40 percent of the students are male. in this class, 50 percent of the male students and 30 percent of the female students are 25 years old or older. if one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
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[Assistant] 0.62

[User]
the function g ( a ) is defined for integers a such that if a is even, g ( a ) = a / 2 and if a is odd, g ( a ) = a + 5. given that g ( g ( g ( g ( g ( a ) ) ) ) ) = 19, how many possible values for a would satisfy this equation?
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[Assistant] 8

[User]
there are 16 bees in the hive, then 9 more fly. how many bees are there in all?
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[Assistant] 25

[User]
seller selling an apple for rs. 20, a seller loses 1 / 6 th of what it costs him. the cp of the apple is?
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[Assistant] 21


[User]
what are the last two digits of ( 301 * 402 * 503 * 604 * 645 * 547 * 448 * 349 ) ^ 2
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[Assistant] 00

[User]
nina has exactly enough money to purchase 6 widgets. if the cost of each widget were reduced by $ 1.15, then nina would have exactly enough money to purchase 8 widgets. how much money does nina have?
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[Assistant] $ 27.6

[User]
a broker invested her own money in the stock market. during the first year, she increased her stock market wealth by 60 percent. in the second year, largely as a result of a slump in the stock market, she suffered a 30 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] 12 %

[User]
a fair coin is tossed 3 times. what is the probability of getting at least 2 tails?
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[Assistant] 1 / 2

[User]
a 75 - liter solution of cool - drink is made from 10 % jasmine water. if 3.5 liters of jasmine and 9.5 liters of water were added to the solution, what percent of the solution is jasmine?
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[Assistant] 12.5 %


[User]
what is the angle between the hands of a clock when time is 8 : 40?
Answer the question using a single word or phrase.

[Assistant] 100 deg

[User]
how many integers from 0 to 50 inclusive have a remainder of 3 when divided by 6?
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[Assistant] 8

[User]
a box contains 4 red balls and 4 black balls. one by one, every ball is selected at random without replacement. what is the probability that the fourth ball selected is black?
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[Assistant] 2

[User]
if 50 % of ( x - y ) = 30 % of ( x + y ), then what percent of x is y?
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[Assistant] 25 %

[User]
30 ^ 10 / 180 ^ 5 =?
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[Assistant] 5 ^ 5


[User]
an army ’ s recruitment process included n rounds of selection tasks. for the first a rounds, the rejection percentage was 60 percent per round. for the next b rounds, the rejection percentage was 50 percent per round and for the remaining rounds, the selection percentage was 70 percent per round. if there were 100000 people who applied for the army and 245 were finally selected, what was the value of n?
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[Assistant] 9

[User]
when the price of an article was reduced by 30 % its sale increased by 80 %. what was the net effect on the sale?
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[Assistant] 26 % increase

[User]
if the simple interest on a certain sum of money for 4 years is one – fifth of the sum, then the rate of interest per annum is
Answer the question using a single word or phrase.

[Assistant] 5 %

[User]
the average of 11 results is 60. if the average of first 6 results is 58 and that of the last 6 is 63, find the sixth result?
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[Assistant] 66

[User]
if a student loses 5 kilograms, he will weigh twice as much as his sister. together they now weigh 116 kilograms. what is the student's present weight in kilograms?
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[Assistant] 79


[User]
a circular path of 13 m radius has marginal walk 2 m wide all round it. find the cost of leveling the walk at 25 p per m 2?
Answer the question using a single word or phrase.

[Assistant] rs. 44

[User]
tom drives from town q to town b, driving at a constant speed of 60 miles per hour. from town b tom immediately continues to town c. the distance between q and b is twice the distance between b and c. if the average speed of the whole journey was 36 mph, then what is tom's speed driving from b to c in miles per hour?
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[Assistant] 20

[User]
a watch was sold at a loss of 10 %. if it was sold for rs. 540 more, there would have been a gain of 8 %. what is the cost price?
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[Assistant] 3000

[User]
a man took a loan from a bank at the rate of 8 % p. a. simple interest. after 3 years he had to pay rs. 5400 interest only for the period. the principal amount borrowed by him was :
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[Assistant] rs. 22,500

[User]
what is the remainder when the number q = 14 ^ 2 * 15 ^ 8 is divided by 5?
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[Assistant] 0


[User]
when toys are grouped into 12 and 18, always 3 toys remain ungrouped. what is the minimum number of toys to be added so that when they are grouped into 7, no toys will remain ungrouped?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
in a particular state, 62 % of the counties received some rain on monday, and 54 % of the counties received some rain on tuesday. no rain fell either day in 28 % of the counties in the state. what percent of the counties received some rain on monday and tuesday?
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[Assistant] 44 %

[User]
the average temperature for monday, tuesday, wednesday and thursday was 48 degrees and for tuesday, wednesday, thursday and friday was 46 degrees. if the temperature on monday was 41 degrees. find the temperature on friday?
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[Assistant] 33 degrees

[User]
a courtyard is 18 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. the total number of bricks required is?
Answer the question using a single word or phrase.

[Assistant] 14400

[User]
a can finish a work in 21 days and b can do the same work in 15 days. b worked for 10 days and left the job. in how many days, a alone can finish the remaining work?
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[Assistant] 7


[User]
a boat having a length 3 m and breadth 2 m is floating on a lake. the boat sinks by 1 cm when a man gets on it. the mass of man is :
Answer the question using a single word or phrase.

[Assistant] 60 kg

[User]
what profit percent is made by selling an article at a certain price, if by selling at 2 / 3 rd of that price, there would be a loss of 16 %?
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[Assistant] 26 %

[User]
uba capital recently bought brand new vehicles for office use. uba capital only went for toyota and honda and bought less of toyota than honda at the ratio of 4 : 6. if 40 % of the toyota bought and 60 % of the honda bought were suv ã ¢ â ‚ ¬ â „ ¢ s. how many suv ã ¢ â ‚ ¬ â „ ¢ s did uba capital buy in the aforementioned purchase?
Answer the question using a single word or phrase.

[Assistant] 52 %

[User]
an investor can sell her microtron stock for 36 $ per share and her dynaco stock for 56 $ per share, if she sells 300 shares altogether, some of each stock, at an average price per share of 40 $, how many shares of dynaco stock has she sold?
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[Assistant] 60

[User]
if each edge of cube increased by 20 %, the percentage increase in
Answer the question using a single word or phrase.

[Assistant] 44


[User]
if 15 % of 40 is greater than 25 % of a number by 2, then the number is?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
what is the angle between the hands of a clock when time is 8 : 20?
Answer the question using a single word or phrase.

[Assistant] 50 deg

[User]
month average price per dozen april $ 1.2 may $ 1.20 june $ 3.00 the table above shows the average ( arithmetic mean ) price per dozen of the large grade a eggs sold in a certain store during 3 successive months. if 2 / 3 as many dozen were sold in april as in may, and twice as many were sold in june as in april, what was the average price per dozen of the eggs sold over the 3 - month period?
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[Assistant] 2

[User]
walking 7 / 6 of his usual rate, a boy reaches his school 7 min early. find his usual time to reach the school?
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[Assistant] 49

[User]
a company received $ 2 million in royalties on the first $ 10 million in sales and then $ 8 million in royalties on the next $ 100 million in sales. by what percent did the ratio of royalties to sales decrease from the first $ 10 million in sales to the next $ 100 million in sales?
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[Assistant] 60 %


[User]
the cost price of a radio is rs. 1500 and it was sold for rs. 1200, find the loss %?
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[Assistant] 20

[User]
a trailer carries 3, 4 and 6 crates on a trip. each crate weighs no less than 100 kg. what is the maximum weight of the crates on a single trip?
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[Assistant] 100

[User]
the toll for crossing a certain bridge is $ 0.70 each crossing. drivers who frequently use the bridge may instead purchase a sticker each month for $ 13.00 and then pay only $ 0.30 each crossing during that month. if a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day, what is the least value of x for which this driver can save money by using the sticker?
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[Assistant] 16

[User]
zinc and copper are melted together in the ratio 9 : 11. what is the weight of melted mixture, if 35.1 kg of zinc has been consumed in it?
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[Assistant] 78 kg

[User]
p and q started a business investing rs. 54,000 and rs. 36,000 respectively. out of a total profit of rs. 18,000, q's share is :
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[Assistant] 6000


[User]
find the lowest common multiple of 15, 25 and 35.
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[Assistant] 525

[User]
a person travels equal distances with speeds of 5 km / hr, 10 km / hr, 15 km / hr. and takes a total time of 11 minutes. find the total distance?
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[Assistant] 1500 mts

[User]
a charitable woman gave one penny more than half pennies in her purse to a farmer. afterwards she came across a beggar whom she gave 2 pennies more than half of what she had in her purse. in the end she gave 3 pennies more than half of what she had in her purse and left with a penny with her to a boy. find what she had in the beginning?
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[Assistant] 42

[User]
if x, y, and z are positive integers, and 2 x = 5 y = 6 z, then the least possible value of x + y + z is
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[Assistant] 26

[User]
one - third of rahul's savings in national savings certificate is equal to one - half of his savings in public provident fund. if he has rs. 1, 80000 as total savings, how much has he saved in public provident fund?
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[Assistant] 72000


[User]
the weight of every type a widget is the same, the weight of every type b widget is the same, and the weight of every type c widget is the same. if the weight of 7 type a widgets is equal to the weight of 2 type b widgets, and the weight of 3 type b widgets is equal to the weight of 7 type c widgets. what is the ratio of the total weight of 1 type a widget and 1 type b widget, to the total weight of 1 type b widget and 1 type c widget?
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[Assistant] 9 : 10

[User]
what least number must be added to 1170, so that the sum is completely divisible by 23?
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[Assistant] 3

[User]
in a 500 member association consisting of men and women, exactly 20 % of men and exactly 50 % women are homeowners. what is the least number of members who are homeowners?
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[Assistant] 101

[User]
two trains 140 m and 160 m long run at the speed of 60 kmph and 48 kmph in opposite directions in parallel tracks. the time which they take to cross each other is?
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[Assistant] 10 sec

[User]
there are 408 boys and 192 girls in a school which are to be divided into equal sections of either boys or girls alone. find the total number of sections thus formed.
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[Assistant] 25


[User]
joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. during the first week, he uses 1 / 4 of all the paint. during the second week, he uses 1 / 7 of the remaining paint. how many gallons of paint has joe used?
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[Assistant] 128

[User]
the sale price sarees listed for rs. 540 after successive discount is 5 % and 2 % is?
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[Assistant] 502

[User]
a bag contains 3 red, 2 blue and 3 green balls. if 2 ballsare picked at random, what is the probability that both are red?
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[Assistant] 3 / 28

[User]
company p had 15 percent more employees in december than it had in january. if company p had 480 employees in december, how many employees did it have in january?
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[Assistant] 417

[User]
at deluxe paint store, fuchsia paint is made by mixing 5 parts of red paint with 3 parts of blue paint. mauve paint is made by mixing 3 parts of red paint with 5 parts blue paint. how many liters of blue paint must be added to 40 liters of fuchsia to change it to mauve paint?
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[Assistant] 26.6


[User]
in a sports club with 40 members, 20 play badminton and 18 play tennis and 5 do not play either. how many members play both badminton and tennis?
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[Assistant] 3

[User]
an article is bought for rs. 600 and sold for rs. 300, find the loss percent?
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[Assistant] 50 %

[User]
the ratio of 2 numbers is 1 : 2 and their h. c. f. is 10. their l. c. m. is?
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[Assistant] 20

[User]
a 300 m long train crosses a platform in 33 sec while it crosses a signal pole in 18 sec. what is the length of the platform?
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[Assistant] 250 m

[User]
youseff lives x blocks from his office. it takes him 1 minute per block to walk to work and 20 seconds per block to ride his bike to work. it is takes him exactly 14 minutes more to walk to work than to ride his bike to work, then x equals?
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[Assistant] 21


[User]
what sum of money will produce rs. 60 as simple interest in 4 years at 3 1 / 2 percent?
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[Assistant] 429

[User]
a not - so - good clockmaker has four clocks on display in the window. clock # 1 loses 45 minutes every hour. clock # 2 gains 15 minutes every hour relative to clock # 1 ( i. e., as clock # 1 moves from 12 : 00 to 1 : 00, clock # 2 moves from 12 : 00 to 1 : 15 ). clock # 3 loses 20 minutes every hour relative to clock # 2. finally, clock # 4 gains 20 minutes every hour relative to clock # 3. if the clockmaker resets all four clocks to the correct time at 12 noon, what time will clock # 4 display after 6 actual hours ( when it is actually 6 : 00 pm that same day )?
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[Assistant] 6 : 34

[User]
an woman sitting in a train which is travelling at 25 kmph observes that a goods train travelling in a opposite direction, takes 3 seconds to pass him. if the goods train is 140 m long, find its speed.
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[Assistant] 143

[User]
on a trip, a cyclist averaged 12 miles per hour for the first 18 miles and 10 miles per hour for the remaining 18 miles. if the cyclist returned immediately via the same route and took a total of 7.3 hours for the round trip, what was the average speed ( in miles per hour ) for the return trip?
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[Assistant] 9

[User]
there is a rectangular prism made of 1 in cubes that has been covered in tin foil. there are exactly 128 cubes that are not touching any tin foil on any of their sides. if the width of the figure created by these 128 cubes is twice the length and twice the height, what is the measure q in inches of the width of the foil covered prism?
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[Assistant] 10


[User]
in covering a distance of 30 km, arun takes 2 hours more than anil. if arun doubles his speed, then he would take 1 hour less than anil. what is arun's speed?
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[Assistant] 5

[User]
the racing magic takes 150 seconds to circle the racing track once. the charging bull makes 40 rounds of the track in an hour. if they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time?
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[Assistant] 15

[User]
the sector of a circle has radius of 21 cm and central angle 144 o. find its perimeter?
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[Assistant] 94.8 cm

[User]
a grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches. if the measurement of each soap box is 7 inches by 6 inches by 5 inches, then what is the maximum number of soap boxes that can be placed in each carton?
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[Assistant] 300

[User]
how many multiples of 10 are there between 100 and 10000 ( both are inclusive )?
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[Assistant] 991


[User]
how many of the positive factors of 42, 104 and how many common factors are there in numbers?
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[Assistant] 2

[User]
a batsman scored 130 runs which included 3 boundaries and 8 sixes. what percent of his total score did he make by running between the wickets?
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[Assistant] 53 ( 11 / 13 ) %

[User]
a sum of money at simple interest amounts to $ 815 in 3 years and to $ 854 in 4 years. the sum is :
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[Assistant] $ 698

[User]
along a yard 434 metres long, 32 trees are palnted at equal distances, one tree being at each end of the yard. what is the distance between two consecutive trees
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[Assistant] 14

[User]
a shopkeeper sells 20 % of his stock at 10 % profit ans sells the remaining at a loss of 5 %. he incurred an overall loss of rs. 300. find the total worth of the stock?
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[Assistant] 15000


[User]
jim is able to sell a hand - carved statue for $ 670 which was a 35 % profit over his cost. how much did the statue originally cost him?
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[Assistant] $ 496.30

[User]
a baseball team played 10 games and won 5. what is the ratio of the number of games played to the number of losses?
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[Assistant] 2 : 1

[User]
3 buffaloes eat as much as 4 cows or 2 oxen. at a farm, there are 15 buffaloes, 8 oxen, and 24 cows. the fodder for these cattle is available for 48 days. if 40 more cows and 15 more buffaloes are brought in, how many days will the fodder last?
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[Assistant] 24

[User]
cp of 2 buffaloes are $ 30,000. by selling 1 at a loss of 15 % and other at a profit of 19 %, he foundthat sp of both buffaloes is the same. find the cp of each?
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[Assistant] $ 12,500

[User]
the purchase price of an article is $ 48. in order to include 10 % of cost for overhead and to provide $ 12 of net profit, the markup should be
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[Assistant] 35 %


[User]
in a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1 / 8. for a group of 200 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
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[Assistant] 134

[User]
increasing the original price of a certain item by 15 percent and then increasing the new price by 25 percent is equivalent to increasing the original price by what percent?
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[Assistant] 43.75

[User]
find the least number must be subtracted from 378461 so that remaining no. is divisible by 13?
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[Assistant] 5

[User]
the profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448. what should be the sale price for making 40 % profit?
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[Assistant] $ 896

[User]
a certain pair of used shoes can be repaired for $ 11.50 and will last for 1 year. a pair of the same kind of shoes can be purchased new for $ 28.00 and will last for 2 years. the average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes?
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[Assistant] 21.74


[User]
maxwell leaves his home and walks toward brad's house at the same time that brad leaves his home and runs toward maxwell's house. if the distance between their homes is 80 kilometers, maxwell's walking speed is 4 km / h, and brad's running speed is 6 km / h, what is the distance traveled by brad?
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[Assistant] 40

[User]
renu can do a piece of work in 6 days, but with the help of her friend suma, she can do it in 4 days. in what time suma can do it alone?
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[Assistant] 12

[User]
working at their respective constant rates, machine a makes 100 copies in 8 minutes and machine b makes 150 copies in 10 minutes. if these machines work simultaneously at their respective rates for 30 minutes, what is the total number of copies that they will produce?
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[Assistant] 825

[User]
q - 1 ) of the 84 parents who attended a meeting at a school, 25 volunteered to supervise children during the school picnic and 11 volunteered both to supervise children during the picnic and to bring refreshments to the picnic. if the number of parents who volunteered to bring refreshments was 1.5 times the number of parents who neither volunteered to supervise children during the picnic nor volunteered to bring refreshments, how many of the parents volunteered to bring refreshments?
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[Assistant] 42

[User]
in a mayoral election, candidate x received 1 / 4 more votes than candidate y, and candidate y received 1 / 6 fewer votes than z. if z received 24,000 votes how many votes did candidate x received?
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[Assistant] 25000


[User]
1,5, 13,25, __
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[Assistant] 41

[User]
ages of two persons differ by 18 years. if 4 years ago, the elder one was 4 times as old the younger one, find their present age
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[Assistant] 10,28

[User]
if 13 = 13 w / ( 1 - w ), then ( 4 w ) 2 =
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[Assistant] 4

[User]
in a recent head - to - head run - off election, 10,000 absentee ballets were cast. 2 / 3 of the absentee ballets were thrown out and 2 / 5 of the remaining absentee ballets were cast for candidate a. how many absentee votes did candidate b receive?
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[Assistant] 2,000

[User]
a bicycle wheel has a diameter of 0.61 m. how many complete revolutions does it make in 1 km?
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[Assistant] 522


[User]
nitin borrowed some money at the rate of 6 % p. a. for the first 3 years, 9 % p. a. for the next 5 years and 13 % p. a. for the period beyond 8 years. if the total interest paid by him at the end of 11 years is rs. 8160, how much money did he borrow?
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[Assistant] 8000

[User]
the ratio between the sale price and the cost price of an article is 6 : 2. what is the ratio between the profit and the cost price of that article?
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[Assistant] 2 : 1

[User]
a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week. for any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75 % higher than his regular rate. if last week the bus driver earned $ 1200 in total compensation, how many total hours did he work that week?
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[Assistant] 60

[User]
if 5 ^ 29 * 4 ^ 15 = 2 * 10 ^ n, what is the value of n?
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[Assistant] 29

[User]
a man is standing on a railway bridge which is 180 m long. he finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. find the length of the train and its speed.
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[Assistant] 15 m / sec


[User]
if 2 ^ k = 4, then 2 ^ ( 2 k + 2 ) =
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[Assistant] 64

[User]
a spirit and water solution is sold in a market. the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has. a solution of 1 liter of spirit and 1 liter of water costs 60 cents. how many cents does a solution of 1 liter of spirit and 2 liters of water cost?
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[Assistant] 60

[User]
the average marks of a class of 28 students is 40 and that of another class of 50 students is 60. find the average marks of all the students?
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[Assistant] 52.8

[User]
free notebooks were distributed equally among children of a class. the number of notebooks each child got was one - eighth of the number of children. had the number of children been half, each child would have got 16 notebooks. total how many notebooks were distributed?
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[Assistant] 512

[User]
if 7800 / 3.25 = 2400, then 780.0 / 32.5 is equal to?
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[Assistant] 24


[User]
tim and é lan are 120 miles away from one another. they are starting to move towards each other simultaneously, tim at a speed of 10 mph and é lan at a speed of 5 mph. if every hour they double their speeds, what is the distance that tim will pass until he meets é lan?
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[Assistant] 80 miles.

[User]
the sum of the first 40 positive even integers is 2,550. what is the sum of the odd integers from 101 to 200, inclusive?
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[Assistant] 6,500

[User]
the diagonals of a rhombus are 14 cm and 20 cm. find its area?
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[Assistant] 140

[User]
if x and y are positive integers and 20 x = 10 y what is the least possible value of xy?
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[Assistant] 100

[User]
find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively
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[Assistant] 127


[User]
15 times a positive integer is more than its square by 56, then the positive integer is
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[Assistant] 8

[User]
a shopkeeper has 280 kg of apples. he sells 35 % of these at 20 % profit and remaining 60 % at 30 % profit. find his % profit on total.
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[Assistant] 25 %

[User]
a train running at 1 / 5 of its own speed reached a place in 10 hours. how much time could be saved if the train would have run at its own speed?
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[Assistant] 8 hrs

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

[User]
a line that passes through ( – 1, – 4 ) and ( 3, k ) has a slope = k. what is the value of k?
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[Assistant] 4 / 3


[User]
a can finish a work in 24 days, b in 9 days and c in 2 days, b and c start the work but are forced to leave after 3 days. the remaining work was done by a in?
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[Assistant] 10 days

[User]
a reduction of 50 % in the price of oil enables a house wife to obtain 5 kgs more for rs. 800, what is the reduced price for kg?
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[Assistant] s. 80

[User]
if x / 4 + 24 / x = 5, what are the values of 3 x - 4?
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[Assistant] 20 and 32

[User]
a candidate who gets 30 % of the marks fails by 50 marks. but another candidate who gets 45 % marks gets 25 marks more than necessary for passing. find the number of marks for passing?
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[Assistant] 200

[User]
if two integers x, y ( x > y ) are selected from - 6 to 6 ( inclusive ), how many cases are there?
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[Assistant] 78


[User]
two trains of equal length, running with the speeds of 60 and 40 kmph, take 36 seconds to cross each other while they are running in the same direction. what time will they take to cross each other if they are running in opposite directions?
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[Assistant] 7.2 sec

[User]
if x + y = 2 x + z, x - 2 y = 4 z and x + y + z = 21, what is the value of y / z?
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[Assistant] 6.

[User]
the bankers discount of a certain sum of money is rs. 36 and the true discount on the same sum for the same time is rs. 30. the sum due is :
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[Assistant] 180

[User]
12 chess players take part in a tournament. every player plays twice with each of his opponents. how many games are to be played?
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[Assistant] 132

[User]
one hour after adrienne started walking the 60 miles from x to y, harold started walking from x to y as well. adrienne walks 3 miles per hour and harold walks 1 mile per hour faster than adrienne. how far from x will harold be when he catches up to adrienne?
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[Assistant] 12 miles


[User]
the volume of a cube is 1331 cc. find its surface.
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[Assistant] 726

[User]
if ( a – b ) is 11 more than ( c + d ) and ( a + b ) is 3 less than ( c – d ), then ( a – c ) is :
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[Assistant] 4

[User]
two trains 180 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time which they take to cross each other is?
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[Assistant] 12.24

[User]
a train passes a man standing on a platform in 8 seconds and also crosses the platform which is 267 metres long in 20 seconds. the length of the train ( in metres ) is :
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[Assistant] 178

[User]
mixture a is 15 percent alcohol, and mixture b is 50 percent alcohol. if the two are poured together to create a 4 - gallon mixture that contains 30 percent alcohol, approximately how many gallons of mixture a are in the mixture?
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[Assistant] 2.3


[User]
on the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. on the particular day 160 children were absent and as a result each child got two extra bananas. find the actual number of children in the school?
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[Assistant] 320

[User]
a certain store sold pens for $ 0.35 each and pencils for $ 0.25 each. if a customer purchased both pens and pencils from the store for a total of $ 3.00, what total number of pens and pencils did the customer purchase?
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[Assistant] 10

[User]
what is the sum of natural numbers between 20 and 100
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[Assistant] 4860

[User]
4 weavers can weave 4 mats in 4 days. at the same rate, how many mats would be woven by 6 weavers in 6 days?
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[Assistant] 9

[User]
a number whose fifth part increased by 6 is equal to its fourth part diminished by 6 is?
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[Assistant] 240


[User]
if 3 a – 2 b – 4 c = 32 and √ 3 a - √ ( 2 b + 2 c ) = 4, what is the value of a + b + c?
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[Assistant] 12

[User]
find the product of the localvalue and absolutevalue of 3 in 20368?
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[Assistant] 900

[User]
how many seconds will a train 120 meters long take to cross a bridge 200 meters long if the speed of the train is 36 kmph?
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[Assistant] 32 sec

[User]
the difference of the areas of two squares drawn on two line segments of different lengths is 32 sq. cm. find the length of the greater line segment if one is longer than the other by 2 cm.
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[Assistant] 9 cm

[User]
a cube of edge 6 cm is cut into cubes each of edge 3 cm. the ratio of the total surface area of one of the small cubes to that of the large cube is equal to :
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[Assistant] 1 : 4


[User]
robert ate 7 chocolates, nickel ate 3 chocolates. how many more chocolates did robert ate than nickel?
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[Assistant] 4

[User]
a car traveling at a certain constant speed takes 20 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 36 kilometers per hour. at what speed, in kilometers per hour, is the car traveling?
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[Assistant] 30

[User]
the product of x and y is a constant. if the value of x is increased by 50 %, by what percentage must the value of y be decreased?
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[Assistant] 33 1 ⁄ 3 %

[User]
the ratio between the perimeter and the width of a rectangle is 5 : 1. if the area of the rectangle is 150 sq. cm, what is the width of the rectangle?
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[Assistant] 10 cm

[User]
working at a constant rate, p can finish a job in 3 hours. q, also working at a constant rate, can finish the same job in 15 hours. if they work together for 2 hours, how many more minutes will it take p to finish the job, working alone at his constant rate?
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[Assistant] 36


[User]
what is the least common multiple of 12, 18, and 24?
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[Assistant] 72

[User]
a batsman makes a score of 90 runs in the 11 th inning and thus increases his average by 5. find his average after 11 th inning.
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[Assistant] 40

[User]
a is two years older than b who is twice as old as c. if the total of the ages of a, b and c be 72, then how old is b?
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[Assistant] 28 years

[User]
there is 60 % increase in an amount in 6 years at si. what will be the ci of rs. 14,000 after 3 years at the same rate?
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[Assistant] 4634

[User]
dick and jane each saved $ 1,000 in 1989. in 1990 dick saved 15 percent more than in 1989, and together he and jane saved a total of $ 2,000. approximately what percent less did jane save in 1990 than in 1989?
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[Assistant] 15 %


[User]
7, 26, 63, 124, (.... )
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[Assistant] 342

[User]
by selling 100 pens, a trader gains the cost of 40 pens. find his gain percentage?
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[Assistant] 40 %

[User]
a sum of rs. 1870 has been divided among a, b and c such that a gets of what b gets and b gets of what c gets. b ’ s share is :
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[Assistant] rs. 330

[User]
a circular logo is enlarged to fit the lid of a jar. the new diameter is 30 per cent larger than the original. by what percentage has the area of the logo increased?
Answer the question using a single word or phrase.

[Assistant] 69

[User]
a is a working partner and b is a sleeping partner in the business. a puts in rs. 15000 and b rs. 25000, a receives 10 % of the profit for managing the business the rest being divided in proportion of their capitals. out of a total profit of rs. 9600, money received by a is?
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[Assistant] 4200


[User]
how many numbers from 19 to 79 are exactly divisible by 11?
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[Assistant] 6

[User]
two pipes can fill a tank in 10 minutes and 15 minutes. an outlet pipe can empty the tank in 30 minutes. if all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
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[Assistant] 7.5

[User]
the length of a rectangle is four times its width. if the area is 100 m 2 what is the length of the rectangle?
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[Assistant] 20 m

[User]
exactly 20 % of the reporters for a certain wire service cover local politics in country x. if 20 % of the reporters who cover politics for the wire service do not cover local politics in country x, what percent of the reporters for the wire service do not cover politics?
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[Assistant] 75 %

[User]
we had $ 840 left after spending 30 % of the money that we took for shopping. how much money did we start with?
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[Assistant] $ 1200


[User]
if the sum and difference of two numbers are 10 and 8 respectively, then the difference of their square is :
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[Assistant] 80

[User]
how many times will the digit 5 be written when listing the integers from 1 to 1000?
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[Assistant] 300

[User]
the average of first six prime numbers which are between 30 and 70 is
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[Assistant] 42

[User]
what is the units digit of ( 3 ^ 11 ) ( 4 ^ 13 )?
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[Assistant] 2

[User]
the distance from steve's house to work is 30 km. on the way back steve drives twice as fast as he did on the way to work. altogether, steve is spending 6 hours a day on the roads. what is steve's speed on the way back from work?
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[Assistant] 15


[User]
the sector of a circle has radius of 21 cm and central angle 270 o. find its perimeter?
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[Assistant] 141 cm

[User]
how many times in a day the hands of a clock are straight?
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[Assistant] 22

[User]
on a ranch, a rancher can place a loop of rope, called a lasso, once in every 2 throws around a cow ’ s neck. what is the probability that the rancher will be able to place a lasso around a cow ’ s neck at least once in 3 attempts?
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[Assistant] 7 / 8

[User]
twelve machines, each working at the same constant rate, together can complete a certain job in 12 days. how many additional machines, each working at the same constant rate, will be needed to complete the job in 8 days?
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[Assistant] 6

[User]
if 49 ( 7 ^ x ) = 1 then x =
Answer the question using a single word or phrase.

[Assistant] – 2


[User]
a cab driver 5 days income was $ 200, $ 150, $ 750, $ 400, $ 500. then his average income is?
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[Assistant] $ 400

[User]
x is able to do a piece of work in 14 days and y can do the same work in 20 days. if they can work together for 5 days, what is the fraction of work completed?
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[Assistant] 17 / 28

[User]
if a man buys 1 liter of milk for 12 rs. and mixes it with 20 % water and sells it for 15 rs then what is the % age of gain...
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[Assistant] 50

[User]
a tightrope approximately 320 m long is suspended between two poles. during a performance, a break occurs in the line. assume that the line has an equal chance of breaking anywhere along its length. what is the probability that the break happened in the first 50 meters of the rope?
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[Assistant] 5 / 32

[User]
on thursday mabel handled 90 transactions. anthony handled 10 % more transactions than mabel, cal handled 2 / 3 rds of the transactions that anthony handled, and jade handled 18 more transactions than cal. how much transactions did jade handled?
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[Assistant] 84


[User]
while working alone at their constant rates, computer x can process 240 files in 4 hours, and computer y can process 240 files in 6 hours. if all files processed by these computers are the same size, how many hours would it take the two computers, working at the same time at their respective constant rates, to process a total of 240 files?
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[Assistant] 2.4

[User]
$ 2,000 is deposited in a savings account that pays 4 % annual interest compounded semiannually. to the nearest dollar, how much is in the account at the end of the year?
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[Assistant] $ 2080.80

[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. 140, then how much amount should c pay as his share of rent?
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[Assistant] 36

[User]
what is the rate percent when the simple interest on rs. 1000 amount to rs. 400 in 4 years?
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[Assistant] 10 %

[User]
a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 7 hours. if both the taps are opened simultaneously, then after how much time will the cistern get filled?
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[Assistant] 9.3


[User]
by how much is 12 % of 24.2 more than 10 % of 14.2?
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[Assistant] 1.484

[User]
the jogging track in a sports complex is 627 m in circumference. deepak and his wife start from the same point and walk in opposite directions at 4.5 km / hr and 3.75 km / hr respectively. they will meet for the first time in?
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[Assistant] 4.56 min

[User]
a jogger running at 9 km / hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 27 km / hr in the same direction. in how much time will the train pass the jogger?
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[Assistant] 72 sec

[User]
a sun is divided among x, y and z in such a way that for each rupee x gets, y gets 45 paisa and z gets 50 paisa. if the share of y is rs. 36, what is the total amount?
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[Assistant] 156

[User]
a certain company retirement plan has arule of 70 provision that allows an employee to retire when the employee's age plus years of employment with the company total at least 70. in what year could a female employee hired in 1989 on her 32 nd birthday first be eligible to retire under this provision?
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[Assistant] 2008


[User]
an industrial loom weaves 0.128 metres of cloth every second. approximately, how many seconds will it take for the loom to weave 24 metre of cloth?
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[Assistant] 188 seconds

[User]
the perimeter of one face of a cube is 20 cm. its volume will be :
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[Assistant] 125 cm 3

[User]
if the average ( arithmetic mean ) of ( 2 a + 16 ) and ( 3 a - 8 ) is 84, what is the value of a?
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[Assistant] 32

[User]
a square mirror has exactly half the area of the rectangular wall on which it is hung. if each side of the mirror is 18 inches and the width of the wall is 32 inches, what is the length of the wall, in inches?
Answer the question using a single word or phrase.

[Assistant] 20.25

[User]
a sun is divided among x, y and z in such a way that for each rupee x gets, y gets 50 paisa and z gets 40 paisa. if the share of x is rs. 30, what is the total amount?
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[Assistant] 57


[User]
how many kilograms of sugar costing rs. 9 per kg must be mixed with 27 kg of sugar costing rs. 7 per kg so that there may be gain of 10 % by selling the mixture at rs. 9.24 per kg?
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[Assistant] 63 kg

[User]
at a loading dock, each worker on the night crew loaded 1 / 4 as many boxes as each worker on the day crew. if the night crew has 4 / 5 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
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[Assistant] 5 / 6

[User]
a train speeds past a pole in 15 seconds and a platform 150 meters long in 25 seconds. what is the length of the train ( in meters )?
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[Assistant] 225

[User]
a jeep takes 7 hours to cover a distance of 420 km. how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time?
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[Assistant] 40 kmph

[User]
the end of a blade on an airplane propeller is 5 feet from the center. if the propeller spins at the rate of 1,320 revolutions per second, how many miles will the tip of the blade travel in one minute? ( 1 mile = 5,280 feet )
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[Assistant] 150 π


[User]
what will be the cost of building a fence around a square plot with area equal to 144 sq ft, if the price per foot of building the fence is rs. 58?
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[Assistant] 2784

[User]
what is the 36 th digit to the right of the decimal point in the decimal expansion of 1 / 37?
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[Assistant] 7

[User]
if a ( a - 2 ) = 2 and b ( b - 2 ) = 2, where a ≠ b, then a + b =
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[Assistant] − 1

[User]
if an object travels 400 feet in 4 seconds, what is the object's approximate speed in miles per hour? ( note : 1 mile = 5280 feet )
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[Assistant] 68

[User]
if the sum and difference of two numbers are 10 and 19 respectively, then the difference of their square is :
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[Assistant] 190


[User]
if 14 percent of the students at a certain school went to a camping trip and took more than $ 100, and 75 percent of the students who went to the camping trip did not take more than $ 100, what percentage of the students at the school went to the camping trip?
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[Assistant] 56

[User]
cole drove from home to work at an average speed of 80 kmh. he then returned home at an average speed of 120 kmh. if the round trip took a total of 3 hours, how many minutes did it take cole to drive to work?
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[Assistant] 108

[User]
the reciprocal of the hcf and lcm of two are 1 / 16 and 1 / 312. if one of the number is 24 then other no. is
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[Assistant] 208

[User]
360 metres long yard, 31 trees are palnted at equal distances, one tree being at each end of the yard. what is the distance between 2 consecutive trees
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[Assistant] 12

[User]
a test has 120 questions. each question has 5 options, but only 1 option is correct. if test - takers mark the correct option, they are awarded 1 point. however, if an answer is incorrectly marked, the test - taker loses 0.25 points. no points are awarded or deducted if a question is not attempted. a certain group of test - takers attempted different numbers of questions, but each test - taker still received the same net score of 40. what is the maximum possible number of such test - takers?
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[Assistant] 17


[User]
in a certain pond, 100 fish were caught, tagged, and returned to the pond. a few days later, 100 fish were caught again, of which 2 were found to have been tagged. if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
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[Assistant] 2,500

[User]
the manufacturing cost of a shoe is rs. 210 and the transportation lost is rs. 500 for 100 shoes. what will be the selling price if it is sold at 20 % gains
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[Assistant] s 258

[User]
a vessel of capacity 2 litre has 40 % of alcohol and another vessel of capacity 6 litre had 60 % 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] 44 %.

[User]
65 % of x = 20 % of 422.50. find the value of x?
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[Assistant] 130

[User]
on increasing the number of lines in a page by 80, they become 240. what is the % of increase in the no. of lines in the page?
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[Assistant] 50 %


[User]
average monthly income of a family of 4 earning members was rs. 735. one of the earning members died and therefore, the average income came down to rs 590. the income of the deceased was?
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[Assistant] rs. 1170

[User]
two numbers are less than third number by 32 % and 37 % respectively. how much percent is the second number less than by the first
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[Assistant] 14 %

[User]
peter invested a certain sum of money in a simple interest bond whose value grew to $ 100 at the end of 2 years and further to $ 200 at the end of another 4 years. what was the rate of interest in which he invested his sum?
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[Assistant] 50 %

[User]
two nascar stock cars take off from the starting line at the exact same time, heading in opposite directions. the budweiser car travels at 145 miles per hour, while the stella artois car travels at 150 miles per hour. at this rate, and ignoring other variable, how long will the cars have to drive in order to be 500 miles, in total, from each other?
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[Assistant] 1.69 hours

[User]
at a loading dock, each worker on the night crew loaded 3 / 4 as many boxes as each worker on the day crew. if the night crew has 2 / 3 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
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[Assistant] 2 / 3


[User]
convert 400 miles into meters?
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[Assistant] 643736

[User]
find the average of all numbers between 6 and 36 which are divisible by 7
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[Assistant] 15

[User]
in how many ways 3 boys and 3 girls can be seated in a row so that they are alternate.
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[Assistant] 36

[User]
if you multiply all the numbers on your mobile phone except 0, what is the answer?
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[Assistant] 362880

[User]
a straight line in the xy - plane has slope 4. on this line the x - coordinate of the point is 50 and y - coordinate is 300 then what is the y intercept of the plane?
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[Assistant] 100


[User]
how many seconds will a 900 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr?
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[Assistant] 54 sec

[User]
two airplanes take off from one airfield at noon. one flies due east at 201 miles per hour while the other flies directly northeast at 283 miles per hour. approximately how many miles apart are the airplanes at 2 p. m.?
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[Assistant] 402

[User]
what is the sum of all the multiples of 10 between 0 and 120?
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[Assistant] 780

[User]
if money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 50 / r years. if luke's parents invested $ 11,500 in a long term bond that pays 12 percent interest compounded annually, what will be the approximate total amount of the investment 12 years later, when luke is ready for college?
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[Assistant] 95,500

[User]
the ratio 4 : 20 expressed as percent equals to
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[Assistant] 20 %


[User]
jack takes a loan of $ 120000 with 12 % annual interest : the interest is paid once, at the end of the year. jill takes a loan of $ 120000 with 12 % annual interest, compounding monthly at the end of each month. at the end of one full year, compared to jack's loan interest, approximately how much more does jill have to repay?
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[Assistant] $ 819.00

[User]
the area of one square is x ^ 2 + 8 x + 16 and the area of another square is 4 x ^ 2 − 12 x + 9. if the sum of the perimeters of both squares is 32, what is the value of x?
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[Assistant] 7 / 3

[User]
evaluate 45 /. 05
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[Assistant] 900

[User]
how many 3 - digit even numbers are possible such that if one of the digits is 5, the next / succeeding digit to it should be 1?
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[Assistant] 5

[User]
brenda and sally run in opposite direction on a circular track, starting at diametrically opposite points. they first meet after brenda has run 150 meters. they next meet after sally has run 200 meters past their first meeting point. each girl runs at a constant speed. what is the length of the track in meters?
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[Assistant] 500


[User]
a metal company's old machine makes bolts at a constant rate of 100 bolts per hour. the company's new machine makes bolts at a constant rate of 150 bolts per hour. if both machines start at the same time and continue making bolts simultaneously, how many minutes will it take the two machines to make a total of 400 bolts?
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[Assistant] 96

[User]
gopi gives rs. 90 plus one turban as salary to his servant for one year. the servant leaves after 9 months and receives rs. 40 and the turban. find the price of the turban.
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[Assistant] 110

[User]
amar takes as much time in running 18 meters as a car takes in covering 48 meters. what will be the distance covered by amar during the time the car covers 1.6 km?
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[Assistant] 600 m

[User]
a train passes a station platform in 50 sec and a man standing on the platform in 20 sec. if the speed of the train is 54 km / hr. what is the length of the platform?
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[Assistant] 300 m

[User]
the lowest number which should be added to 8247 so that the sum is exactly divisible by 5, 6, 7, 8 and 9 is :
Answer the question using a single word or phrase.

[Assistant] 1833


[User]
two spherical balls lie on the ground touching. if one of the balls has a radius of 3 cm, and the point of contact is 5 cm above the ground, what is the radius of the other ball?
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[Assistant] 15 cm

[User]
in a class there are a total of 8 rows of desks and each desk can seat one student. there are 10 desks in the first row. in each subsequent row there are 2 more desks than in the previous row. find the maximum number of students seated in the class?
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[Assistant] 136

[User]
what is the smallest positive integer nn such that 6,480 ∗ n √ 6,480 ∗ n is a perfect cube?
Answer the question using a single word or phrase.

[Assistant] 30 ^ 4

[User]
a candidate who gets 20 % of the marks fails by 40 marks. but another candidate who gets 30 % marks gets 20 marks more than necessary for passing. find the number of marks for passing?
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[Assistant] 160 marks

[User]
10 women can complete a work in 8 days and 10 children take 12 days to complete the work. how many days will 6 women and 3 children together take to complete the work?
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[Assistant] 10


[User]
solve for x and check : - 200 x = 1600
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[Assistant] 1600

[User]
if 5 machines can produce 20 units in 10 hours, how long would it take 20 machines to produce 140 units?
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[Assistant] 17.5 hours

[User]
the annual interest rate earned by an investment increased by 10 percent from last year to this year. if the annual interest rate earned by the investment this year was 1 percent, what was the annual interest rate last year?
Answer the question using a single word or phrase.

[Assistant] 9.1 %

[User]
there are 450 birds at a small zoo. the number of birds is 5 times the number of all the other animals combined. how many more birds are there than non bird animals at the zoo?
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[Assistant] 360

[User]
a man can row downstream at 20 kmph and upstream at 10 kmph. find the speed of the man in still water and the speed of stream respectively?
Answer the question using a single word or phrase.

[Assistant] 15, 5


[User]
what is difference between biggest and smallest fraction among 2 / 3, 3 / 4, 4 / 5 and 5 / 3
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[Assistant] 1

[User]
10 ^ 222 ÷ 10 ^ 220 =?
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[Assistant] 100

[User]
a library has an average of 510 visitors on sundays and 240 on other days. the average number of visitors per day in a month of 30 days beginning with a sunday is
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[Assistant] 285

[User]
the average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 50 kg. what is the weight of the new person?
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[Assistant] 70 kg

[User]
the average of 10 numbers is calculated as 15. it is discovered later on that while calculating the average one number, namely 36 was wrongly read as 26. the correct average is :
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[Assistant] 16


[User]
if z is not equal to zero, and z = 6 zs − 9 s 2 − − − − − − − − √ z = 6 zs − 9 s 2, then z equals :
Answer the question using a single word or phrase.

[Assistant] 3 s

[User]
sushil got thrice as many marks in english as in science. his total marks in english, science and maths are 115. if the ratio of his marks in english and maths is 5 : 1, find his marks in science?
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[Assistant] 25

[User]
two boats are heading towards each other at constant speeds of 5 miles / hr and 23 miles / hr respectively. they begin at a distance 20 miles from each other. how far are they ( in miles ) one minute before they collide?
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[Assistant] 7 / 12

[User]
when positive integer x is divided by positive integer y, the result is 59.32. what is the sum e of all possible 2 - digit remainders for x / y?
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[Assistant] 616

[User]
there are cats got together and decided to kill the mice of 999936. each cat kills equal number of mice and each cat kills more number of mice than cats there were. then what are the number of cats?
Answer the question using a single word or phrase.

[Assistant] 992,1008


[User]
a man can row 7 â ½ kmph in still water. if in a river running at 1.5 km / hr an hour, it takes him 50 minutes to row to a place and back, how far off is the place?
Answer the question using a single word or phrase.

[Assistant] 3 km

[User]
a chemical supply company has 60 liters of a 30 % hno 3 solution. how many liters of pure undiluted hno 3 must the chemists add so that the resultant solution is a 50 % solution?
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[Assistant] 24

[User]
what is the sum of all digits for the number 10 ^ 28 - 44?
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[Assistant] 245

[User]
mr and mrs a are opposite to each other. the distance between mr a and mrs a are 120 km. the speed of mr a and mrs a are 30 kmph, 10 kmph respectively. one bee is running between mr a nose to mrs a nose and returning back to mr a nose. the speed of bee is 60 kmph. then how far bee traveled?
Answer the question using a single word or phrase.

[Assistant] 180 km

[User]
each machine of type a has 2 steel parts and 3 chrome parts. each machine of type b has 3 steel parts and 5 chrome parts. if a certain group of type a and type b machines has a total of 40 steel parts and 32 chrome parts, how many machines are in the group
Answer the question using a single word or phrase.

[Assistant] 12


[User]
because he ’ s taxed by his home planet, mork pays a tax rate of 40 % on his income, while mindy pays a rate of only 30 % on hers. if mindy earned 4 times as much as mork did, what was their combined tax rate?
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[Assistant] 32 %

[User]
find the average of all the numbers between 6 and 34 which are divisible by 5?
Answer the question using a single word or phrase.

[Assistant] 20

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

[User]
in township k, 1 / 5 of the housing units are equiped with cable tv. if 1 / 15 of the housing units, including 1 / 3 of those that are equiped with cable tv, are equipped with videocassette recorders, what fraction of the housing units have neither cable tv nor videocassette recorders?
Answer the question using a single word or phrase.

[Assistant] 4 / 5

[User]
a man walking at the rate of 5 km / hr crosses a bridge in 15 minutes. the length of the bridge ( in metres ) is
Answer the question using a single word or phrase.

[Assistant] 1250


[User]
a student is ranked 17 th from right and 5 th from left. how many students are there in totality?
Answer the question using a single word or phrase.

[Assistant] 21

[User]
a reduction of 46 % in the price of bananas would enable a man to obtain 64 more for rs. 40, what is reduced price per dozen?
Answer the question using a single word or phrase.

[Assistant] 3.45

[User]
what should be the least number to be added to the 11002 number to make it divisible by 11?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
the ratio between x and y is 8 / 5 ; x is increased by 10 and y is multiplied by 10, what is the ratio between the new values of x and y?
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[Assistant] it can not be determined

[User]
the sum of three consecutive multiples of 3 is 72. what is the largest number?
Answer the question using a single word or phrase.

[Assistant] 27


[User]
two interconnected, circular gears travel at the same circumferential rate. if gear a has a diameter of 10 centimeters and gear b has a diameter of 50 centimeters, what is the ratio of the number of revolutions that gear a makes per minute to the number of revolutions that gear b makes per minute?
Answer the question using a single word or phrase.

[Assistant] 5 : 1

[User]
a trader sells 45 meters of cloth for rs. 4500 at the profit of rs. 14 per metre of cloth. what is the cost price of one metre of cloth?
Answer the question using a single word or phrase.

[Assistant] rs. 86

[User]
a person walks at a speed of 4 km / hr and runs at a speed of 8 km / hr. how many hours will the person require to cover a distance of 20 km, if the person completes half of the distance by walking and the other half by running?
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[Assistant] 3.75

[User]
12 times a number gives 156. the number is
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[Assistant] 13

[User]
if the sides of a triangle are 30 cm, 28 cm and 10 cm, what is its area?
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[Assistant] 140


[User]
the price of an item is discounted 10 percent on day 1 of a sale. on day 2, the item is discounted another 15 percent, and on day 3, it is discounted an additional 20 percent. the price of the item on day 3 is what percentage of the sale price on day 1?
Answer the question using a single word or phrase.

[Assistant] 68 %

[User]
an author received $ 0.80 in royalties for each of the first 100000 copies of her book sold, and $ 0.30 in royalties for each additional copy sold. if she received a total of $ 260000 in royalties, how many copies of her book were sold?
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[Assistant] 700,000

[User]
in a garden, there are yellow and green flowers which are straight and curved. if the probability of picking a green flower is 1 / 6 and picking a straight flower is 1 / 2, then what is the probability of picking a flower which is yellow and straight
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[Assistant] 3 / 7

[User]
virginia, adrienne, and dennis have taught history for a combined total of 102 years. if virginia has taught for 9 more years than adrienne and for 9 fewer years than dennis, for how many years has dennis taught?
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[Assistant] 43

[User]
the age of father 10 years ago was thirce the age of his son. 10 years hence, father ’ s age will be twice that of his son. the ration of their present ages is :
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[Assistant] 7 : 3


[User]
a one - foot stick is marked in 1 / 2 and 1 / 4 portion. how many total markings will there be, including the end points?
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[Assistant] 5

[User]
if integer k is equal to the sum of all even multiples of 25 between 200 and 600, what is the greatest prime factor of k?
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[Assistant] 13

[User]
how many integers between 324,700 and 448,600 have tens digit 1 and units digit 3?
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[Assistant] 1,239

[User]
g ( x ) is defined as the product of all even integers k such that 0 < k ≤ x. for example, g ( 14 ) = 2 × 4 × 6 × 8 × 10 × 12 × 14. if g ( r ) is divisible by 4 ^ 11, what is the smallest possible value for r?
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[Assistant] 24

[User]
if 1 / 12 of the passengers on a ship are from north america, 1 / 8 are europeans, 1 / 3 are from africa, 1 / 6 are from asia and the remaining 35 people are citizens of other continents, then how many passengers are on board the ship?
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[Assistant] 120


[User]
54671 - 14456 - 33466 =?
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[Assistant] 6749

[User]
a gambler bought $ 3,000 worth of chips at a casino in denominations of $ 20 and $ 100. that evening, the gambler lost 13 chips, and then cashed in the remainder. if the number of $ 20 chips lost was 3 more or 3 less than the number of $ 100 chips lost, what is the largest amount of money that the gambler could have received back?
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[Assistant] $ 2,240

[User]
the ages of two person differ by 20 years. if 7 years ago, the elder one be 5 times as old as the younger one, their present ages ( in years ) are respectively
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[Assistant] 32, 12

[User]
how many integers between 1 and 10 ^ 18 are such that the sum of their digits is 2?
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[Assistant] 171

[User]
how many positive integers less than 27 are prime numbers, odd multiples of 5, or the sum of a positive multiple of 2 and a positive multiple of 4?
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[Assistant] 22


[User]
shekar scored 76, 65, 82, 67 and 55 marks in mathematics, science, social studies, english and biology respectively. what are his average marks?
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[Assistant] 69

[User]
the radius of a wheel is 22.4 cm. what is the distance covered by the wheel in making 2500 resolutions?
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[Assistant] 3520 m

[User]
the average of 10 numbers is 23. if each number is increased by 4, what will the new average be?
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[Assistant] 27

[User]
if a person has two rectangular fields. the larger field has thrice the length and 4 times the width of the smaller field. if the smaller field has a length 50 % more than the width. if a person takes 20 minutes to complete one round of a smaller field then what is the time required to complete one round of a larger field?
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[Assistant] 68 minutes

[User]
the pilot of a small aircraft with a 40 - gallon fuel tank wants to fly to cleveland, which is 480 miles away. the pilot recognizes that the current engine, which can fly only 7 miles per gallon, will not get him there. by how many miles per gallon must the aircraft ’ s fuel efficiency be improved to make the flight to cleveland possible?
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[Assistant] 5


[User]
linda bought 3 notebooks at $ 1.20 each ; a box of pencils at $ 1.50 and a box of pens at $ 1.70. how much did linda spend?
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[Assistant] $ 6.80

[User]
two numbers are respectively 20 % and 50 % more than a third number. the percentage that is first of the second is?
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[Assistant] 80 %

[User]
an amount at compound interest sums to rs. 17640 / - in 2 years and to rs. 22932 / - in 3 years at the same rate of interest. find the rate percentage?
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[Assistant] 30 %

[User]
for how many integer values of n will the value of the expression 4 n + 7 be an integer greater than 1 and less than 60?
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[Assistant] 15

[User]
the average of first 25 natural numbers is?
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[Assistant] 13


[User]
r = { 2, 3, 4, 5 } b = { 4, 5, 6, 7, 8 } two integers will be randomly selected from the sets above, one integer from set r and one integer from set b. what is the probability that the sum of the two integers will equal 9?
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[Assistant] 0.20

[User]
a $ 79.95 lawn chair was sold for $ 59.95 at a special sale. by approximately what percent was the price decreased?
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[Assistant] 25 %

[User]
5 drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 16 days. how many additional pipes, each draining water at the same constant rate, will be needed to drain the pool in 4 days?
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[Assistant] 15

[User]
the diagonals of a rhombus are 12 cm and 10 cm. find its area?
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[Assistant] 60

[User]
three 6 faced dice are thrown together. the probability that no two dice show the same number on them is
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[Assistant] 5 / 9


[User]
find the greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively.
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[Assistant] 127

[User]
ram - leela has $ 100 in her piggy bank. how much will she have in her bank 52 weeks from now if she puts $ 1 in the bank next week, $ 2 two weeks from now, $ 3 3 weeks from now, and continues to increase the amount that she puts in by $ 1 each week?
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[Assistant] 1478

[User]
a certain mixture of nuts consists of 5 parts almonds to 2 parts walnuts, by weight. what is the number of pounds of almonds in 350 pounds of the mixture?
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[Assistant] 250

[User]
if x = - 5 / 4 and y = - 3 / 2, what is the value of the expression - 2 x – y ^ 2?
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[Assistant] 1 / 4

[User]
which expression is the greatest
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[Assistant] 3641 / 3656


[User]
jerry ’ s average ( arithmetic mean ) score on the first 3 of 4 tests is 78. if jerry wants to raise his average by 2 points, what score must he earn on the fourth test?
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[Assistant] 86

[User]
guy drives 60 miles to attend a meeting. halfway through, he increases his speed so that his average speed on the second half is 16 miles per hour faster than the average speed on the first half. his average speed for the entire trip is 30 miles per hour. guy drives on average how many miles per hour during the first half of the way?
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[Assistant] 24

[User]
8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. in how many days can 18 men, 4 women and 10 children together complete the piece of work?
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[Assistant] 4 days

[User]
15 years hence, rohan will be just 4 times as old as he was 15 years ago. how old is rohan at present?
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[Assistant] 25

[User]
dan ’ s car gets 32 miles per gallon. if gas costs $ 4 / gallon, then how many miles can dan ’ s car go on $ 54 of gas?
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[Assistant] 432


[User]
average expenditure of a person for the first 3 days of a week is rs. 330 and for the next 4 days is rs. 420. average expenditure of the man for the whole week is :
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[Assistant] 370

[User]
set x consists of 10 integers and has median of 30 and a range of 30. what is the value of the greatest possible integer that can be present in the set?
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[Assistant] 50

[User]
in a class there are 55 pupil, out of them 10 are in debate only and 18 in singing only. then how many in both?
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[Assistant] 17

[User]
in a hostel, the number of students decreased by 8 % and the price of food increased by 20 % over the previous year. if each student consumes the same amount of food then by how much should the consumption of food be cut short by every student, so that the total cost of the food remains the same as that of the previous year?
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[Assistant] 9.4 %

[User]
the total circumference of two circles is 88. if the first circle has a circumference that is exactly twice the circumference of the second circle, then what is the approximate sum of their two radii?
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[Assistant] 14.0