[User]
if 3 men or 4 women can reap a field in 43 days how long will 7 men and 5 women take to reap it?
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[Assistant] 12

[User]
the smallest number when increased by ` ` 3 ` ` is exactly divisible by 510, 4590, and 105 is :
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[Assistant] 627

[User]
a waiter's salary consists of his salary and tips. during one week his tips were 5 / 3 of his salary. what fraction of his income came from tips?
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[Assistant] 5 / 8

[User]
if ( c - a ) / ( c - b ) = 3, then ( 5 b - 5 a ) / ( c - a ) =
Answer the question using a single word or phrase.

[Assistant] 3.33

[User]
rachel and sarah spent $ 8 for gasoline, $ 15.65 for their lunch, and $ 5 apiece for gifts for grandma. grandma gave each of them $ 10. if the girls left home with a total of $ 50, how much do they have for the return trip?
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[Assistant] $ 36.35


[User]
in the fifth grade at parkway elementary school there are 420 students. 320 students are boys and 250 students are playing soccer. 86 % of the students that play soccer are boys. how many girl student are in parkway that is not playing soccer?
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[Assistant] 65

[User]
p and q invested in a shop. the profits were divided in the ratio of 2 : 4 respectively. if p invested rs. 500000, the amount invested by q is :
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[Assistant] 1000000

[User]
1939392 * 625
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[Assistant] 1212120000

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

[User]
peter invests a sum of money and gets back an amount of $ 815 in 3 years. david invests an equal amount of money and gets an amount of $ 870 in 4 years. if both amounts were invested at the same rate ( simple interest ) what was the sum of money invested?
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[Assistant] 650


[User]
the ratio of the adjacent angles of a parallelogram is 5 : 13. also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. what is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral?
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[Assistant] 134 °

[User]
in a bag containing 3 balls, a white ball was placed and then 1 ball was taken out at random. what is the probability that the extracted ball would turn on to be white, if all possible hypothesis concerning the color of theballs that initiallyin the bag were equally possible?
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[Assistant] 5 / 8

[User]
half a number plus 5 is 13. what is the number?
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[Assistant] 16

[User]
a hare and a jackal are running a race. 3 leaps of the hare are equal to 4 leaps of the jackal. for every 6 leaps of the hare, the jackal takes 7 leaps. find the ratio of the speed of the hare to the speed of the jackal.
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[Assistant] 8 : 7

[User]
on dividing 109 by a number, the quotient is 9 and the remainder is 1. find the divisor.
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[Assistant] 12


[User]
a, b and c enter into a partnership by investing $ 15000, $ 21000 and $ 27000 respectively. at the end of 8 months, b receives $ 1540 as his share. find the share of a.
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[Assistant] $ 1100

[User]
a is twice as good as workman as b and together they finish a piece of work in 18 days. in how many days will a alone finish the work?
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[Assistant] 27

[User]
when a number is divided by 6 & then multiply by 12 the answer is 15 what is the no.?
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[Assistant] 7.5

[User]
by selling 15 pens for a rupee a woman loses 25 %. how many for a rupee should he sell in order to gain 25 %?
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[Assistant] 10

[User]
the sum of the present ages of two persons a and b is 60. if the age of a is twice that of b, find the sum of their ages 9 years hence?
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[Assistant] 78


[User]
a, band c can do a piece of work in 35 days, 20 days and 55 days respectively, working alone. how soon can the work be done if a is assisted by band c on alternate days?
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[Assistant] 16 days

[User]
aram ’ s car was fined when he gave joe and peter a ride, so they decided to help aram pay the fine. joe paid $ 3 more than 1 / 4 of the fine and peter paid $ 3 less than 1 / 3 of the fine, leaving pay $ 4 less than 1 / 2 the fine to complete the payment. what fraction of the fine did aram pay?
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[Assistant] $ 20

[User]
what is 992 * 992?
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[Assistant] 984,064

[User]
the mean of 50 observations was 36. it was found later that an observation 43 was wrongly taken as 23. the corrected new mean is
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[Assistant] 36.4

[User]
it is currently 7 : 16 pm. at what time in the morning was it exactly 19,443 minutes earlier?
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[Assistant] 7 : 13


[User]
52 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. the bigger part is :
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[Assistant] 30.33

[User]
the price of 2 sarees and 4 shirts is $ 1600. with the same money one can buy 1 saree and 6 shirts. if one wants to buy 12 shirts, how much shall he have to pay?
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[Assistant] 2400

[User]
working alone at their respective constant rates, a can complete a task in ‘ a ’ days and b in ‘ b ’ days. they take turns in doing the task with each working 2 days at a time. if a starts they finish the task in exactly 12 days. if b starts, they take half a day more. how long does it take to complete the task if they both work together?
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[Assistant] 6

[User]
on dividing a number by 5, we get 3 as remainder. what will the remainder when the square of the this number is divided by 5?
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[Assistant] 4

[User]
find the area of a rhombus one side of which measures 20 cm and one diagonal is 24 cm.
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[Assistant] 384 cm 2


[User]
a taxi leaves point a 4 hours after a bus left the same spot. the bus is traveling 30 mph slower than the taxi. find the speed of the taxi, if it overtakes the bus in two hours.
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[Assistant] 45

[User]
m and n are the x and y coordinates, respectively, of a point in the coordinate plane. if the points ( m, n ) and ( m + p, n + 15 ) both lie on the line defined by the equation x = ( y / 5 ) - ( 2 / 5 ), what is the value of p?
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[Assistant] 3

[User]
in a certain pet shop, the ratio of dogs to cats to bunnies in stock is 7 : 7 : 8. if the shop carries 330 dogs and bunnies total in stock, how many dogs are there?
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[Assistant] 154

[User]
of the 150 employees at company x, 80 are full - time, and 100 have worked at company x for at least a year. there are 10 employees at company x who aren ’ t full - time and haven ’ t worked at company x for at least a year. how many full - time employees of company x have worked at the company for at least a year?
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[Assistant] 10

[User]
if y is the smallest positive integer such that 7,700 multiplied by y is the square of an integer, then y must be
Answer the question using a single word or phrase.

[Assistant] 77


[User]
a bookstore has a shelf that contains biographies which normally sell for $ 20 each and mysteries that normally sell for $ 12 each. during a sale, the biographies and mysteries are discounted at different rates so that a customer saves a total of $ 19 from the normal price by buying 5 discounted biographies and 3 discounted mysteries. if the sum of the discount rates for the two types of books is 38 percent, what is the discount rate on mysteries?
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[Assistant] 29.68 %

[User]
find the ones digit of 73 ^ 320
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[Assistant] 7

[User]
the ratio of ducks and frogs in a pond is 37 : 39 respectively. the average number of ducks and frogs in the pond is 152. what is the number of frogs in the pond?
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[Assistant] 156

[User]
the side of a square is increased by 30 % then how much % does its area increases?
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[Assistant] 69

[User]
the “ connection ” between any two positive integers a and b is the ratio of the smallest common multiple of a and b to the product of a and b. for instance, the smallest common multiple of 8 and 12 is 24, and the product of 8 and 12 is 96, so the connection between 8 and 12 is 24 / 96 = 1 / 4 the positive integer y is less than 20 and the connection between y and 6 is equal to 1 / 1. how many possible values of y are there?
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[Assistant] 7


[User]
the probability of two events a and b are 0.15 and 0.40 respectively. the probability that both a and b occur is 0.15. the probability that neither a nor b occur is _________
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[Assistant] 0.6

[User]
( 0.8 ) ( power 3 ) - ( 0.5 ) ( power 3 ) / ( 0.8 ) ( power 2 ) + 0.40 + ( 0.5 ) ( power 2 ) is :
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[Assistant] 0.3

[User]
if the length of the sides of two cubes are in the ratio 7 : 1, what is the ratio of their total surface area?
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[Assistant] 49 : 1

[User]
when a merchant imported a certain item, she paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1,000. if the amount of the import tax that the merchant paid was $ 110.60, what was the total value of the item?
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[Assistant] $ 2580

[User]
on a trip covering 400 km, a bicyclist travels the first 100 km at 20 km per hour and the remainder of the distance at 15 km per hour. what is the average speed, in km per hour, for the entire trip?
Answer the question using a single word or phrase.

[Assistant] 16.0


[User]
eighteen years ago, a father was 3 times as old as his son. now the father is only twice as old his son. then the sum of the present ages of the son and the father is :
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[Assistant] 107

[User]
how many pieces can a square pizza be cut into by making 5 linear cuts?
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[Assistant] 16

[User]
a person crosses a 1080 m long street in 14 minutes. what is his speed in km per hour?
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[Assistant] 4.6

[User]
if x is a prime number, and x - 1 is the median of the set { x - 1, 3 x + 3, 2 x - 4 }, then what is the average ( arithmetic mean ) of the set?
Answer the question using a single word or phrase.

[Assistant] 10 / 3

[User]
the batting average of a particular batsman is 60 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] 179


[User]
the sector of a circle has radius of 21 cm and central angle 135 o. find its perimeter?
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[Assistant] 91.5 cm

[User]
8.008 / 1.001
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[Assistant] 8

[User]
a train consists of 12 boggies, each boggy 15 metres long. the train crosses a telegraph post in 18 seconds. due to some problem, one boggies were detached. the train now crosses a telegraph post in
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[Assistant] 16.5 sec

[User]
if a sum of money doubles itself in 8 years at simple interest, the ratepercent per annum is
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[Assistant] 12.5

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

[Assistant] 1.5


[User]
the average ( arithmetic mean ) of 4 positive integers is 30. if the average of 2 of these integers is 15, what is the greatest possible value that one of the other 2 integers can have?
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[Assistant] 89

[User]
the length of the bridge, which a train 135 metres long and travelling at 45 km / hr can cross in 30 seconds, is?
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[Assistant] 240 m

[User]
carol spends 1 / 4 of her savings on a stereo and 1 / 3 less than she spent on the stereo for a television. what fraction of her savings did she spend on the stereo and television?
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[Assistant] 5 / 12

[User]
jancy had 100 currency notes in all, some of which are of rs 70 denomination and the remaining of rs 50 denomination. the total amount of all these currency notes was rs. 5000. how much amount ( in rs ) did she have in the denomination of rs 50?
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[Assistant] 100

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


[User]
a man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses. next year his income increases by 25 % but his savings increase by 100 %. if his total expenditure in 2 years is double his expenditure in 1 st year, what % age of his income in the first year did he save?
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[Assistant] 25 %

[User]
the contents of a certain box consist of 24 apples and 30 kiwis. how many kiwis must be added to the box so that exactly 30 % of the pieces of fruit in the box will be apples?
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[Assistant] 26

[User]
p and q can complete a work in 80 days and 48 days respectively. p alone started the work and q joined him after 16 days till the completion of the work. how long did the work last?
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[Assistant] 40 days

[User]
what is the square root of 83,521?
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[Assistant] 289

[User]
two trains, one from howrah to patna and the other from patna to howrah, start simultaneously. after they meet, the trains reach their destinations after 9 hours and 16 hours respectively. the ratio of their speeds is
Answer the question using a single word or phrase.

[Assistant] 4 : 3


[User]
every student in a room is either a junior or a senior. there is at least one junior and at least one senior in the room. if 2 / 3 of the juniors is equal to 1 / 2 of the seniors, what fraction of the students in the room are juniors?
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[Assistant] 3 / 7

[User]
a meal cost $ 34.50 and there was no tax. if the tip was more than 10 pc but less than 15 pc of the price, then the total amount paid should be :
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[Assistant] 38 - 40

[User]
in an examination, questions were asked in 5 sections. out of the total students, 5 % candidates cleared the cut - off in all the sections and 5 % cleared none. of the rest, 25 % cleared only one section and 20 % cleared 4 sections. if 24.5 % of the entire candidates cleared two sections and 300 candidates cleared 3 sections. find out how many candidates appeared at the examination?
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[Assistant] 1200

[User]
a carpenter worked alone for 1 day on a job that would take him 4 more days to finish. he and another carpenter completed the job in 2 more days. how many days would it have taken the second carpenter to do the complete job working alone?
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[Assistant] 5

[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 ( z ) is divisible by 4 ^ 11, what is the smallest possible value for z?
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[Assistant] 24


[User]
if 12 ounces of a strong vinegar solution are diluted with 50 ounces of water to form a 7 - percent vinegar solution, what was the concentration of the original solution?
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[Assistant] 36.17 %

[User]
if ( a + b ) = 5, ( b + c ) = 6 and ( c + d ) = 3, what is the value of ( a + d )?
Answer the question using a single word or phrase.

[Assistant] 2.

[User]
on a map the distance between two mountains is 312 inches. the actual distance between the mountains is 136 km. ram is camped at a location that on the map is 25 inch from the base of the mountain. how many km is he from the base of the mountain?
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[Assistant] 10.89

[User]
a garrison of 400 men had a provision for 31 days. after 27 days 200 persons re - enforcement leave the garrison. find the number of days for which the remaining ration will be sufficient?
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[Assistant] 8 days

[User]
a salesman commission is 10 % on all sales upto $ 5000 and 5 % on all sales exceeding this. he remits $ 15000 to his parent company after deducting his commission. find the total sales?
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[Assistant] 15789


[User]
( 7.5 × 7.5 + 3.75 + 2.5 × 2.5 ) is equal to
Answer the question using a single word or phrase.

[Assistant] 100

[User]
a merchant has selected two items to be placed on sale, one of which currently sells for 40 percent less than the other. if he wishes to raise the price of the cheaper item so that the two items are equally priced, by what percentage must he raise the price of the less expensive item?
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[Assistant] 60 %

[User]
a owes b rs. 50. he agrees to pay b over a number of consecutive days on a monday, paying single note or rs. 10 or rs. 20 on each day. in how many different ways can a repay b.
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[Assistant] 8

[User]
if two positive numbers are in the ratio 1 / 12 : 1 / 9, then by what percent is the second number more than the first?
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[Assistant] 33.33 %

[User]
a and b invests rs. 10000 each, a investing for 6 months and b investing for all the 12 months in the year. if the total profit at the end of the year is rs. 4500, find their shares?
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[Assistant] 1500,3000


[User]
a group of students decided to collect as many paise from each member of group as is the number of members. if the total collection amounts to rs. 32.49, the number of the member is the group is :
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[Assistant] 57

[User]
q ' = 3 q - 3, what is the value of ( 6 ' ) '?
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[Assistant] 210

[User]
in 1979 approximately 1 / 3 of the 38.3 million airline passengers traveling to or from the united states used kennedy airport. if the number of such passengers that used miami airport was 1 / 2 the number that used kennedy airport and 4 times the number that used logan airport, approximately how many millions of these passengers used logan airport that year?
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[Assistant] 1.6

[User]
when n is divided by 24, the remainder is 3. find thee difference between previous remainder and the remainder when 9 n is divided by 7?
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[Assistant] 3

[User]
the initial price of an article is rs. 6000 which increases 40 % increse in its price in the first year, a 20 % decrease in the second year and a 20 % increase in the next year. what is the final price of the article?
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[Assistant] rs. 7392


[User]
a and b can finish a work in 16 days while a alone can do the same work in 20 days. in how many days b alone will complete the work?
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[Assistant] 80 days

[User]
one side of a rectangular field is 13 m and one of its diagonal is 17 m. find the area of the field.
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[Assistant] 141.7

[User]
a man spend 1 / 5 of his salary on food, 1 / 10 of his salary on house rent and 3 / 5 salary on clothes. he still has $ 16000 left with him. find salary..
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[Assistant] $ 160000

[User]
a has 10000 chocolates. 20 % of the chocolates are eaten. what percentage of the uneaten chocolates must be eaten so that 3 / 2 of all chocolates are eaten?
Answer the question using a single word or phrase.

[Assistant] 37.25

[User]
a school has 4 section of chemistry in class x having 60, 35, 45 and 42 students. the mean marks obtained in chemistry test are 50, 60, 55 and 45 respectively for the 4 sections. determine the overall average of marks per student.
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[Assistant] 52


[User]
the number of employees in obelix menhir co. is a prime number and is less than 300. the ratio of the number of employees who are graduates and above, to that of employees who are not, can possibly be : -
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[Assistant] 97 : 84

[User]
rs. 825 becomes rs. 956 in 3 years at a certain rate of simple interest. if the rate of interest is increased by 4 %, what amount will rs. 825 become in 3 years?
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[Assistant] rs. 1055

[User]
mahesh marks an article 15 % above the cost price of rs. 540. what must be his discount percentage if he sells it at rs. 496.80?
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[Assistant] 20

[User]
the perimeter of a triangle is 40 cm and the in radius of the triangle is 2.5 cm. what is the area of the triangle?
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[Assistant] 50

[User]
a man swims downstream 54 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
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[Assistant] 12


[User]
sum of the squares of 3 no. is 138 and the sum of their products taken two at a time is 131. find the sum?
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[Assistant] 20

[User]
the total of 324 of 20 paise and 25 paise make a sum of rs. 71. the no of 20 paise coins is :
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[Assistant] 200

[User]
120 liters of a mixture contains milk and water in the ratio 4 : 2. if 10 liters of this mixture be replaced by 10 liters of milk, the ratio of milk to water in the new mixture would be?
Answer the question using a single word or phrase.

[Assistant] 9 : 4

[User]
170 kg of an alloy a is mixed with 250 kg of alloy b. if alloy a has lead and tin in the ratio 1 : 3 and alloy b has tin and copper in the ratio 3 : 5, then the amount of tin in the new alloy is?
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[Assistant] 221.3 kg

[User]
a train 360 m long can cross an electric pole in 30 sec and then find the speed of the train?
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[Assistant] 43 kmph


[User]
a can do a piece of work in 4 hours ; b and c together can do it in 2 hours, which a and c together can do it in 2 hours. how long will b alone take to do it?
Answer the question using a single word or phrase.

[Assistant] 4 hours

[User]
the maximum number of student amoung them 1204 pens and 840 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
Answer the question using a single word or phrase.

[Assistant] 28

[User]
in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. in the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. if a large bottle of the sport formulation contains 7 ounces of corn syrup, how many ounces of water does it contain?
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[Assistant] 105

[User]
the product of three consecutive numbers is 120. then the sum of the smallest two numbers is?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
a company pays 12.5 % dividend to its investors. if an investor buys rs. 40 shares and gets 25 % on investment, at what price did the investor buy the shares?
Answer the question using a single word or phrase.

[Assistant] 20


[User]
one half of a two digit number exceeds its one third by 6. what is the sum of the digits of the number?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
a box contains 5 pairs of shoes ( 10 shoes in total ). if two shoes are selected at random, what it is the probability that they are matching shoes?
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[Assistant] 1 / 9

[User]
in a company of 16 employees, 8 employees earn $ 38,000, 4 employees earn $ 42,000, and the 4 highest - paid employees earn the same amount. if the average annual salary for the 16 employees is $ 44,000, what is the annual salary for each of the highest - paid employees?
Answer the question using a single word or phrase.

[Assistant] $ 58,000

[User]
if the price of petrol increases by 32, by how much must a user cut down his consumption so that his expenditure on petrol remains constant?
Answer the question using a single word or phrase.

[Assistant] 24.2 %

[User]
108. triangle a ’ s base is 7 % greater than the base of triangle b, and a ’ s height is 7 % less than the height of triangle b. the area of triangle a is what percent less or more than the area of triangle b?
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[Assistant] 2.1 % more


[User]
if 2 / z = 2 / ( z + 1 ) + 2 / ( z + 64 ) which of these integers could be the value of z?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
praveen starts business with rs. 3360 and after 5 months, hari joins with praveen as his partner. after a year, the profit is divided in the ratio 2 : 3. what is hari ’ s contribution in the capital?
Answer the question using a single word or phrase.

[Assistant] s. 8640

[User]
the average ( arithmetic mean ) of 10, 20, and 60 is 5 more than the average of 10, 40, and what number?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
jill invests $ 10000 in an account that pays an annual rate of 3.96 %, compounding semi - annually. approximately how much does she have in her account after two years?
Answer the question using a single word or phrase.

[Assistant] $ 10815.83

[User]
250 men work for 16 days and finish a work. how many men would do a job 3 times the previous one in 20 days?
Answer the question using a single word or phrase.

[Assistant] 600


[User]
solution for 1.35 +. 123 +. 321
Answer the question using a single word or phrase.

[Assistant] 1.794

[User]
if 16 machine can finish a job in 45 days, then how many more machines would be needed to finish the job in one - third less time?
Answer the question using a single word or phrase.

[Assistant] a. 3

[User]
two trains start simultaneously from opposite ends of a 160 - km route and travel toward each other on parallel tracks. train x, traveling at a constant rate, completes the 160 - km trip in 5 hours. train y, travelling at a constant rate, completes the 160 - km trip in 3 hours. how many kilometers had train x traveled when it met train y?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
a, b and c invested rs. 6300, rs. 4200 and rs. 10500 respectively, in a partnership business. find the total share of a & b in profit of rs. 12100 after a year?
Answer the question using a single word or phrase.

[Assistant] rs. 6050

[User]
an athlete runs 200 metres race in 40 seconds. what is his speed?
Answer the question using a single word or phrase.

[Assistant] 18


[User]
company p had 15 percent more employees in december than it had in january. if company p had 490 employees in december, how many employees did it have in january?
Answer the question using a single word or phrase.

[Assistant] 426

[User]
the present worth of rs. 1404 due in two equal half - yearly instalments at 8 % per annum simple interest is :
Answer the question using a single word or phrase.

[Assistant] rs. 1325

[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 3 type b widgets, and the weight of 5 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] 5 : 6

[User]
a shopkeeper buys mangoes at the rate of 6 a rupee and sells them at 4 a rupee. find his net profit or loss percent?
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[Assistant] 50 %

[User]
the cross - section of a cannel is a trapezium in shape. if the cannel is 15 m wide at the top and 4 m wide at the bottom and the area of cross - section is 1900 sq m, the depth of cannel is?
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[Assistant] 200


[User]
20 percent of andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. what is the area of her living room floor?
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[Assistant] 180

[User]
a student scored an average of 60 marks in 3 subjects : physics, chemistry and mathematics. if the average marks in physics and mathematics is 90 and that in physics and chemistry is 70, what are the marks in physics?
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[Assistant] 140

[User]
if m is an integer such that ( - 2 ) ^ 2 m = 2 ^ ( 21 - m ) then m =?
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[Assistant] 7

[User]
each of the dogs in a certain kennel is a single color. each of the dogs in the kennel either has long fur or does not. of the 45 dogs in the kennel, 29 have long fur, 17 are brown, and 8 are neither long - furred nor brown. how many long - furred dogs are brown?
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[Assistant] 9

[User]
set a contains all the even numbers between 42 and 90 inclusive. set b contains all the even numbers between 62 and 110 inclusive. what is the difference between the sum of elements of set b and the sum of the elements of set a?
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[Assistant] 500


[User]
of the 3,600 employees of company x, 1 / 3 are clerical. if the clerical staff were to be reduced by 1 / 6, what percent of the total number of the remaining employees would then be clerical?
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[Assistant] 29.4 %

[User]
an artist wishes to paint a circular region on a square poster that is 5 feet on a side. if the area of the circular region is to be 1 / 2 the area of the poster, what must be the radius of the circular region in feet?
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[Assistant] sqrt ( 12.5 / pi )

[User]
the tax on a commodity is diminished by 17 % and its consumption increased by 15 %. the effect on revenue is?
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[Assistant] 4.5 %

[User]
if x is 20 percent greater than 80, then x =
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[Assistant] 96

[User]
a pet groomer has 7 animals to groom for the day ( 2 cats and 5 dogs ). if she randomly selects 4 animals to groom before lunch, what is the probability she will finish all the cats before lunch?
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[Assistant] 2 / 7


[User]
at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.75, a 20 - pack for $ 3.05, and a 250 - pack for $ 22.95. what is the greatest number of hot dogs you can buy at this store with $ 250?
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[Assistant] 2,628

[User]
a bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. if the total value is 70, how many coins of each type are there?
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[Assistant] 40 coins

[User]
how many positive integers less than 26 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] 21

[User]
how many liters of water must be evaporated from 50 liters of a 4 percent sugar solution to get a 5 percent sugar solution?
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[Assistant] 10

[User]
a person lent a certain sum of money at 6 % per annum at simple interest and in 8 years the interest amounted to $ 520 less than the sum lent. what was the sum lent?
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[Assistant] 1000


[User]
there are 30 players in a chess group, and each player plays each of the others once. given that each game is played by two players, how many total games will be played?
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[Assistant] 435

[User]
a wholesaler wishes to sell 100 pounds of mixed nuts at $ 1.50 a pound. she mixes peanuts worth $ 1.50 a pound with cashews worth $ 4.00 a pound. how many pounds of cashews must she use?
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[Assistant] 40

[User]
a certain number of horses and an equal number of men are going somewhere. half of the owners are on their horses'back while the remaining ones are walking along leading their horses. if the number of legs walking on the ground is 90, how many horses are there?
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[Assistant] 18

[User]
240 is increased by 20 %. find the final number.
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[Assistant] 288

[User]
convert 20 miles into yards?
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[Assistant] 35200 yards


[User]
two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 10 % and 25 % respectively. if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively, then the mixture will fetch the profit of
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[Assistant] 25 %

[User]
the average of 10 consecutive integers is 11. then, 9 is deducted from the first consecutive number, 8 is deducted from the second, 7 is deducted form the third, and so on until the last number which remains unchanged. what is the new average?
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[Assistant] 6.5

[User]
let the number which when multiplied by 15 is increased by 196.
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[Assistant] 14

[User]
running at their respective constant rates, machine x takes 2 days longer to produce w widgets than machine y. at these rates, if the two machines together produce 5 / 4 w widgets in 3 days, how many days would it take machine x alone to produce 6 w widgets?
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[Assistant] 36

[User]
lagaan is levied on the 60 percent of the cultivated land. the revenue department collected total rs. 3, 64,000 through the lagaan from the village of mutter. mutter, a very rich farmer, paid only rs. 480 as lagaan. the percentage of total land of mutter over the total taxable land of the village is :
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[Assistant] 0.21978


[User]
if p / q = 4 / 5, then the value of 6 / 7 + { ( 2 q - p ) / ( 2 q + p ) } is?
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[Assistant] 10 / 7

[User]
two persons start at the same point, walk in opposite directions with 6 km / hr and 7 km / hr respectively. what is the distance separated after 3 and half hrs?
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[Assistant] 45.5 km

[User]
on day one, a store sold 86 cups. on each of the next d days, the company sold 50 cups. if the average daily sales of cups over this time period ( including day one ) is 53 cups, what is the value of d?
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[Assistant] 11

[User]
what is the value of â ˆ š 36 %?
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[Assistant] 60 %

[User]
there are two concentric circles with radii 8 and 4. if the radius of the outer circle is increased by 25 % and the radius of the inner circle decreased by 25 %, by what percent does the area between the circles increase?
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[Assistant] 90


[User]
alice can bake a pie in 5 minutes. bob can bake a pie in 6 minutes. compute how many more pies alice can bake than bob in 60 minutes.
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[Assistant] 2

[User]
a grocer has a sale of rs. 5420, rs. 5660, rs. 6200, rs. 6350 and rs. 6500 for 5 consecutive months. find the sale he should have in the sixth month, so that he gets an average sale of rs. 6100?
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[Assistant] rs. 6470

[User]
when a random experiment is conducted, the probability that event a occurs is 1 / 6. if the random experiment is conducted 4 independent times, what is the probability that event a occurs exactly twice?
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[Assistant] 25 / 216

[User]
a, b, c subscribe rs. 50,000 for a business. a subscribes rs. 4000 more than b and b rs. 5000 more than c. out of a total profit of rs. 35,000, c receives :
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[Assistant] s. 8,400

[User]
a building contractor employs 20 male, 15 female and 5 child workers. to a male worker he pays rs. 35 per day, to a female worker rs. 20 per day and a child worker rs. 8 per day. the average wage per day paid by the contractor is?
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[Assistant] 26


[User]
( ( 1 ^ 5 m ) / ( 5 ^ 5 m ) ) ( ( 1 ^ 18 ) / ( 4 ^ 18 ) ) = 1 / ( 2 ( 10 ) ^ 35 ) what is m?
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[Assistant] 7

[User]
eggs are sold in packages of 6 or 11 only. if doris bought 79 eggs exactly, what could be the number of large packs doris bought?
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[Assistant] 5.

[User]
how long does a train 200 m long running at the speed of 72 km / hr takes to cross a bridge 132 m length?
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[Assistant] 16.6 sec

[User]
two tains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. if the length of each train be 125 metres, in what time ( in seconds ) will they cross each other travelling in opposite direction?
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[Assistant] 6

[User]
in a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates ( 0, 3.5 ), ( 6, 0 ), ( 0, - 3.5 ), ( - 6, 0 )?
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[Assistant] 42


[User]
find out the c. i on rs. 5000 at 4 % p. a. compound half - yearly for 1 1 / 2 year?
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[Assistant] 306.04

[User]
micheal and adam can do together a piece of work in 20 days. after they have worked together for 14 days micheal stops and adam completes the remaining work in 10 days. in how many days micheal complete the work separately.
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[Assistant] 50 days

[User]
a number is selected at random from the first 30 natural numbers. what is the probability that the number is a multiple of either 3 or 17?
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[Assistant] 11 / 30

[User]
by selling an article at rs. 800, a shopkeeper makes a profit of 35 %. at what price should he sell the article so as to make a loss of 25 %?
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[Assistant] s. 416

[User]
a present value of a machine is $ 900. its value depletion rate is 10 % per annum then find the machine value after 2 years?
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[Assistant] $ 729


[User]
a motorist knows 6 different routes from bristol to birmingham. from birmingham to sheffield he knows 3 different routes and from sheffield to carlisle he knows two different routes. how many routes does he know from bristol to carlisle?
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[Assistant] 36

[User]
the grade point average of one third of the classroom is 54 ; the grade point average of the rest is 45. what is the grade point average of the whole class?
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[Assistant] 48

[User]
in what time will a train 100 m long cross an electric pole, it its speed be 72 km / hr?
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[Assistant] 5

[User]
if x is an integer that has exactly 3 positive divisors ( these include 1 and x ), how many positive divisors does x ^ 3 have?
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[Assistant] 7

[User]
three 6 faced dice are thrown together. the probability that all the three show the same number on them is -
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[Assistant] 1 / 36


[User]
how many bricks, each measuring 5 cm x 11 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 2 cm?
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[Assistant] 2909

[User]
a can do a piece of work in 7 days and b can do it in 6 days how long will they both work together to complete the work?
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[Assistant] 3 / 13

[User]
60 % of the population of a village is 23040. the total population of the village is?
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[Assistant] 38400

[User]
when positive integer x is divided by positive integer y, the remainder is 9. if x / y = 96.25, what is the value of y?
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[Assistant] 36

[User]
what least number should be subtracted from 13605 such that the remainder is divisible by 87?
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[Assistant] 33


[User]
378 ×? = 252
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[Assistant] 2 / 3

[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 20 kg. what is the weight of the new person?
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[Assistant] 40

[User]
liam is pulled over for speeding just as he is arriving at work. he explains to the police officer that he could not afford to be late today, and has arrived at work only four minutes before he is to start. the officer explains that if liam had driven 5 mph slower for his whole commute, he would have arrived at work exactly on time. if liam's commute is 20 miles long, how fast was he actually driving? ( assume that liam drove at a constant speed for the duration of his commute. )
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[Assistant] 40 mph

[User]
rs. 1690 is divided so that 4 times the first share, thrice the 2 nd share and twice the third share amount to the same. what is the value of the third share?
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[Assistant] s. 780

[User]
if 41 / 88 = 0.46590, what is the 77 th digit to the right of the decimal point of the fraction?
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[Assistant] 0


[User]
a train running at the speed of 100 km / hr crosses a pole in 18 seconds. what is the length of the train?
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[Assistant] 500

[User]
there has been successive increases of 15 % and then 10 % in the price of gas from the previous month. by what percentage should a driver reduce gas consumption so that the expenditure does not change?
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[Assistant] 21 %

[User]
two numbers are less than a third number by 30 % and 37 %. how much percent is the second number is less than the first?
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[Assistant] 10 %

[User]
there are 300 seniors at morse high school, and 40 % of them have cars. of the remaining grades ( freshmen, sophomores, and juniors ), only 10 % of them have cars. if 15 % of all the students at morse have cars, how many students are in those other 3 lower grades?
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[Assistant] 1500

[User]
a box measuring 90 inches long by 45 inches wide by 9 inches deep is to be filled entirely with identical cubes. no space is to be left unfilled. what is the smallest number of cubes that can accomplish this objective?
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[Assistant] 50


[User]
you collect baseball cards. suppose you start out with 11. maria takes half of one more than the number of baseball cards you have. since you're nice, you give peter 1 baseball card. since his father makes baseball cards, paul decides to triple your baseball cards. how many baseball cards do you have at the end?
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[Assistant] 12

[User]
a bullet train 130 m long is running with a speed of 50 kmph. in what time will it pass a man who is running at 10 kmph in the direction opposite to that in which the bullet train is going?
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[Assistant] 13 sec

[User]
find the smallest number of five digits exactly divisible by 22, 33,66 and 44.
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[Assistant] 10100

[User]
a man walking at a constant rate of 5 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 25 miles per hour. the woman stops to wait for the man 5 minutes after passing him, while the man continues to walk at his constant rate. how many minutes must the woman wait until the man catches up?
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[Assistant] 20

[User]
the ages of two persons differ by 20 years. if 5 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] 30,10


[User]
r is the set of positive even integers less than 201, and s is the set of the squares of the integers in r. how many elements does the intersection of r and s contain?
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[Assistant] seven

[User]
on dividing a number by 7, we get 3 as quotient and 0 as remainder. on dividing the same number by 3, what will be the remainder?
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[Assistant] 0

[User]
the unit digit in the product ( 722 * 774 * 889 * 223 ) is :
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[Assistant] 6

[User]
a and b invests rs. 3000 and rs. 7000 respectively in a business. if a doubles his capital after 6 months. in what ratio should a and b divide that year's profit?
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[Assistant] 9 : 14

[User]
what is the % change in the area of a rectangle when its length increases by 25 % and its width decreases by 25 %?
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[Assistant] 6 % decrease


[User]
bag a contains red, white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3. bag b contains red and white marbles in the ratio of 1 : 4. together, the two bags contain 70 white marbles. how many red marbles could be in bag a?
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[Assistant] 14

[User]
sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. sandy attempts 30 sums and obtains 60 marks. how many sums did sandy get correct?
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[Assistant] 24

[User]
a car dealership has 40 cars on the lot, 20 % of which are silver. if the dealership receives a new shipment of 80 cars, 35 % of which are not silver, what percentage of total number of cars are silver?
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[Assistant] 30 %

[User]
at a certain company, each employee has a salary grade s that is at least 1 and at most 5. each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25 ( s – 1 ). an employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 2?
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[Assistant] $ 0.75

[User]
what is the product of all the possible values of x if x ^ 2 - 2 x - 8?
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[Assistant] - 8


[User]
in a class of 30 students, 5 students did not borrow any books from the library, 10 students each borrowed 1 book, 8 students each borrowed 2 books, and the rest of the students each borrowed at least 4 books. if the average ( arithmetic mean ) number of books borrowed per student was 2, what is the maximum number of books that any single student could have borrowed?
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[Assistant] 16

[User]
in a office work is distribute between p persons. if 1 / 4 members are absent then work increased for each person is?
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[Assistant] 33.33 %

[User]
john has $ 1,200 at the beginning of his trip, after spending money, he still has exactly $ 800 less than he spent on the trip. how much money does john still have?
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[Assistant] $ 200

[User]
if a, b and c together can finish a piece of work in 2 days. a alone in 12 days and b in 18 days, then c alone can do it in?
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[Assistant] 3 days

[User]
a tank with a volume of 30 cubic feet has one inlet pipe and 2 outlet pipes. the inlet pipe fills water into the tank at the rate of 3 cubic inches / min and the 2 outlet pipes empty it out at the rates of 9 cubic inches / min and 6 cubic inches / min respectively. if all 3 pipes are opened when the tank is full, how many minutes does it take to empty the tank? ( 1 foot = 12 inches )
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[Assistant] 4320


[User]
a cistern is normally filled in 12 hours but takes two hours longer to fill because of a leak in its bottom. if the cistern is full, the leak will empty it in?
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[Assistant] 84

[User]
when positive integer n is divided by positive integer j, the remainder is 28. if n / j = 154.04, what is value of j?
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[Assistant] 700

[User]
what least number should be subtracted from 13602 such that the remainder is divisible by 87?
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[Assistant] 30

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

[User]
christine and siri have 21 rs between them. christine has 20 rs more than siri. how much does christine have.
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[Assistant] 20.5


[User]
the ratio between the length and the breadth of a rectangular park is 1 : 3. if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 4 min, then the area of the park ( in sq. m ) is?
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[Assistant] 30000 m

[User]
in 10 years, a will be twice as old as b was 10 years ago. if a is now 4 years older than b the present age of b is
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[Assistant] 34

[User]
the cost of 10 kg of mangos is equal to the cost of 24 kg of rice. the cost of 6 kg of flour equals the cost of 2 kg of rice. the cost of each kg of flour is $ 23. find the total cost of 4 kg of mangos, 3 kg of rice and 5 kg of flour?
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[Assistant] 984.4

[User]
if x is equal to the sum of the integers from 50 to 60, inclusive, and y is the number of even integers from 50 to 60, inclusive, what is the value of x + y?
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[Assistant] 611

[User]
a number x is 7 times another number y. the percentage that y is less than x is
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[Assistant] 85.7 %


[User]
an alloy weighing 48 ounces is 25 % gold. how many ounces of pure gold must be added to create an alloy that is 40 % gold?
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[Assistant] 12

[User]
a certain sum is invested at simple interest at 15 % p. a. for two years instead of investing at 12 % p. a. for the same time period. therefore the interest received is more by rs. 420. find the sum?
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[Assistant] s. 7000

[User]
if the average ( arithmetic mean ) of 7 consecutive integers is 20, then the product of the greatest and least integer is
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[Assistant] 391

[User]
a train, 120 meters long travels at a speed of 45 km / hr crosses a bridge in 30 seconds. the length of the bridge is
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[Assistant] 255 m

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


[User]
the number 90 can be written as the sum of the squares of 4 different positive integers. what is the sum of these 4 integers?
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[Assistant] 16

[User]
a train with 120 wagons crosses john who is going in the same direction, in 36 seconds. it travels for half an hour from the time it starts overtaking the john ( he is riding on the horse ) before it starts overtaking the mike ( who is also riding on his horse ) coming from the opposite direction in 24 seconds. in how much time ( in secs ) after the train has crossed the mike do the john meets to mike?
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[Assistant] 3576 s

[User]
two trains 100 m and 60 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] 5.76 sec

[User]
the price of lunch for 15 people was $ 207.00, including a 15 percent gratuity for service. what was the average price per person, excluding the gratuity?
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[Assistant] $ 12.00

[User]
find the missing figures : 0.50 % of? = 0.12
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[Assistant] 24


[User]
a no. when divided by 220 gives a remainder 43, what remainder will beobtained by dividingthe same no. 17?
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[Assistant] 8

[User]
shipment - - - - - - no. of defective chips / shipment - - - total chips in shipment s 2 - - - - - - - - - - - - - - 5 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 12000 s 3 - - - - - - - - - - - - - - 6 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 18000 s 4 - - - - - - - - - - - - - - 4 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 16000 a computer chip manufacturer expects the ratio of the number of defective chips to be total number of chips in all future shipments equal to the corresponding ratio for shipmemts s 1, s 2, s 3 and s 4 comined as shown in the table above. what is the expected number q of defective chips in a shipment of 60000 chips?
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[Assistant] 20

[User]
the maximum number of students among them 640 pens and 520 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils?
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[Assistant] 40

[User]
a certain airline's fleet consisted of 80 type a planes at the beginning of 1980. at the end of each year, starting with 1980, the airline retired 3 of the type a planes and acquired 4 new type b plans. how many years did it take before the number of type a planes left in the airline's fleet was less than 50 percent of the fleet?
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[Assistant] 12

[User]
if the numbers 1 to 96 are written on 96 pieces of paper, ( one on each ) and one piece is picked at random, then what is the probability that the number drawn is neither prime nor composite?
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[Assistant] 1 / 96


[User]
sandy walked 25 meters towards south. then sandy turned to her left and walked 20 meters. she then turned to her left and walked 25 meters. she then turned to her right and walked 12 meters. what distance is she from the starting point and in which direction?
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[Assistant] 32 meters east

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

[User]
how many liters of water must be evaporated from 50 liters of a 1 - percent sugar solution to get a 10 - percent solution?
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[Assistant] 45

[User]
raman mixed 27 kg of butter at rs. 150 per kg with 36 kg butter at the rate of rs. 125 per kg. at what price per kg should he sell the mixture to make a profit of 40 % in the transaction?
Answer the question using a single word or phrase.

[Assistant] 190

[User]
the average of 50 numbers id 56. if two numbers, namely 45 and 55 are discarded, the average of the remaining numbers is :
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[Assistant] 56.25


[User]
a set consists of 12 numbers, all are even or multiple of 5. if 7 numbers are even and 14 numbers are multiple of 5, how many numbers is multiple of 10?
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[Assistant] 9

[User]
sum of the squares of 3 no. is 149 and the sum of their products taken two at a time is 70. find the sum?
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[Assistant] 17

[User]
if x and y are positive integers and x = 5 y + 2, what is the remainder when x is divided by 5?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
if, 1 * 3 * 5 = 16 3 * 5 * 7 = 38 5 * 7 * 9 = 68 then find, 7 * 9 * 11 =?
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[Assistant] 106

[User]
a is twice as good a workman as b and they took 7 days together to do the work b alone can do it in?
Answer the question using a single word or phrase.

[Assistant] 21 days


[User]
points a, b, c, and d, in that order, lie on a line. if ab = 2 cm, ac = 4 cm, and bd = 6 cm, what is cd, in centimeters?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
a sum of money at simple interest amounts to rs. 815 in 3 years and to rs. 844 in 4 years. the sum is :
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[Assistant] s. 728

[User]
a side of beef lost 40 percent of its weight in processing. if the side of beef weighed 240 pounds after processing, how many pounds did it weigh before processing?
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[Assistant] 400

[User]
36 men can complete a piece of work in 18 days. in how days will 27 men can complete the work?
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[Assistant] 24

[User]
a trader bought a car at 50 % discount on its original price. he sold it at a 80 % increase on the price he bought it. what percent of profit did he make on the original price?
Answer the question using a single word or phrase.

[Assistant] 71 %


[User]
renu can do a piece of work in 8 days, but with the help of her friend suma, she can do it in 3 days. in what time suma can do it alone?
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[Assistant] 4.8

[User]
what is the sum of the odd integers from 35 to 65, inclusive?
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[Assistant] 800

[User]
excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 36 kmph. for how many minutes does the bus stop per hour?
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[Assistant] 20 min

[User]
a worker can load one truck in 6 hours. a second worker can load the same truck in 5 hours. if both workers load one truck simultaneously while maintaining their constant rates, approximately how long, in hours, will it take them to fill one truck?
Answer the question using a single word or phrase.

[Assistant] 2.7

[User]
which is equal to 11?
Answer the question using a single word or phrase.

[Assistant] 11 / 1


[User]
if there are 200 questions in a 3 hr examination. among these questions are 10 type a problems, which requires twice as much as time be spent than the rest of the type b problems. how many minutes should be spent on type a problems?
Answer the question using a single word or phrase.

[Assistant] 17.14286 min

[User]
working individually, jane can bake cakes for 4 hours and roy can bake cakes in 5 hours. if jane and roy work together but independently at the task for 2 hours, at which point roy leaves, how many remaining hours will it take jane to complete the task alone?
Answer the question using a single word or phrase.

[Assistant] 2 / 5

[User]
the arithmetic mean of set x is zero. if y = { - 2.22 ; - 1.96 ; - 1.68 ; 1.62 ; 1.94 ; 2.16 } is the subset of x consisting of all those elements in x which are more than two but less than 3 standard deviations away from the arithmetic mean of x, what could be equal to the standard deviation of x?
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[Assistant] 0.77

[User]
what is the sum of odd integers from 25 to 85, inclusive?
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[Assistant] 1,705

[User]
carrie likes to buy t - shirts at the local clothing store. they cost $ 9.95 each. one day, she bought 25 t - shirts. how much money did she spend?
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[Assistant] $ 248.75


[User]
evaluate the sum 1 - 2 + 3 - 4 + 5 - 6 +... + 997 - 998 + 999 - 1000
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[Assistant] - 500

[User]
a line has a slope of 3 / 4 and intersects the point t ( - 12, - 39 ). at which point does this line intersect the x - axis?
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[Assistant] ( 40,0 )

[User]
the owner of a furniture shop charges his customer 20 % more than the cost price. if a customer paid rs. 8337 for a computer table, then what was the cost price of the computer table?
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[Assistant] rs. 6947.5

[User]
two drivers began their journey with the same amount of petrol in their cars at the same time. the only difference is that the first driver � s car could drive 4 hours in that amount of petrol and the second one could drive 5 hours. however, they only drove for some time and found that the amount of petrol that was left in one of the cars was 4 times the petrol left in the other one. for how long had they driven at this point of time?
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[Assistant] 3.75 hours

[User]
the ratio of two numbers is 5 : 9. if each number is decreased by 5, the ratio becomes 5 : 11. find the numbers.
Answer the question using a single word or phrase.

[Assistant] 15, 27


[User]
tim came second in math. when his mother asked him how much he had scored, he answered that he got the sum of the first 11 even numbers. his mother immediately worked out the answer. how much had he scored in math?
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[Assistant] 132

[User]
the average height of 12 girls out of a class of 20 is 161 cm. and that of the remaining girls is 158 cm. the average height of the whole class is :
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[Assistant] 159.8 cms

[User]
find out the c. i on rs. 9000 at 4 % p. a. compound half - yearly for 1 1 / 2 years
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[Assistant] 550.87

[User]
the length of rectangle is thrice its breadth and its perimeter is 56 m, find the area of the rectangle?
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[Assistant] 147

[User]
in a flight of 600 km, an aircraft was slowed down due to bad weather. its average speed for the trip was reduced by 200 km / hr and the time of flight increased by 30 minutes. the duration of the flight is
Answer the question using a single word or phrase.

[Assistant] 1 hr.


[User]
money invested at x %, compounded annually, triples in value in approximately every 112 / x years. if $ 2200 is invested at a rate of 8 %, compounded annually, what will be its approximate worth in 28 years?
Answer the question using a single word or phrase.

[Assistant] $ 19,800

[User]
a rocket soars for 12 seconds at 150 meters per second. it then plummets 600 meters in 3 seconds. what is the average speed of the rocket in meters per second?
Answer the question using a single word or phrase.

[Assistant] 160

[User]
for any integer n greater than 1, # n denotes the product of all the integers from 1 to n, inclusive. how many prime numbers w are there between # 6 + 2 and # 6 + 6, inclusive?
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[User]
a no. when divided by 224 gives a remainder 43, what remainder will beobtained by dividingthe same no. 17?
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[Assistant] 12

[User]
20 beavers, working together in a constant pace, can build a dam in 3 hours. how many hours x will it take 12 beavers that work at the same pace, to build the same dam?
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[Assistant] x = 5.


[User]
the product of two numbers is 168 and the sum of these two numbers is 26. what is the largest of these two numbers?
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[Assistant] 12

[User]
a small company is planning to rent either computer a or computer b to print customer mailing lists. both computer a and computer b must be rented on an hourly basis. the rental fee is based only on the amount of time the computer is turned on. it will cost 40 percent more per hour to rent computer a than to rent computer b. computer b would, however, require 20 hours more than computer a to do the job. if either computer a, or computer b were rented the total cost to rent the computer would be $ 700.00. what would be the approximate hourly charge to rent computer b?
Answer the question using a single word or phrase.

[Assistant] $ 10.00

[User]
in a survey of 330 employees, 104 of them are uninsured, 54 work part time, and 12.5 percent of employees who are uninsured work part time. if a person is to be randomly selected from those surveyed, what is the probability that the person will neither work part time nor be uninsured?
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[Assistant] 37 / 66

[User]
a dishonest dealer professes to sell goods at the cost price but uses a weight of 896 grams per kg, what is his percent?
Answer the question using a single word or phrase.

[Assistant] 11.6 %

[User]
jack has two dice, one has 6 equally probable sides, labeled 1, 2, 3, 4, 5, 6, and the other has 7 equally probable sides, labeled 1, 2, 3, 4, 5, 6, 7. if jack rolls both dice what is the probability that both of the numbers will be even?
Answer the question using a single word or phrase.

[Assistant] 3 / 14


[User]
in a class of 20 students, 2 students did not borrow any books from the library, 8 students each borrowed 1 book, 3 students each borrowed 2 books, and the rest borrowed at least 3 books. if the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?
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[Assistant] 8

[User]
a manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. for this particular shoe, each unit increase in size corresponds to a 1 / 4 - inch increase in the length of the shoe. if the largest size of this shoe is 30 % longer than the smallest size, how long, in inches, is the shoe in size 15?
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[Assistant] 9.25

[User]
what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 11, 60 and 61?
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[Assistant] 30.5

[User]
a man spends 50 % of his income on food, 15 % on children education and 50 % of the remaining on house rent. what percent of his income he is left with?
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[Assistant] 17.5 %

[User]
a car covers a distance of 624 km in 3 hours. find its speed?
Answer the question using a single word or phrase.

[Assistant] 208


[User]
it was calculated that 50 men could complete a piece of work in 10 days. when work was scheduled to commence, it was found necessary to send 25 men to another project. how much longer will it take to complete the work?
Answer the question using a single word or phrase.

[Assistant] 20 days.

[User]
at a supermarket, the ratio of the number of shampoos to the number of soaps is 8 to 5, and the ratio of the number of drinks to the number of shampoos is 3 to 4. if the ratio of the soaps to the number of cereals is 9 to 2, what is the ratio of the number of drinks to the number of cereals?
Answer the question using a single word or phrase.

[Assistant] 27 : 5

[User]
xy = 1 then what is ( 5 ^ ( x + y ) ^ 2 ) / ( 5 ^ ( x - y ) ^ 2 )
Answer the question using a single word or phrase.

[Assistant] 625

[User]
gold is 10 times as heavy as water and copper is 5 times as heavy as water. in what ratio should these be mixed to get an alloy 8 times as heavy as water?
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[Assistant] 3 : 2

[User]
the length of a rectangular floor is more than its breadth by 200 %. if rs. 400 is required to paint the floor at the rate of rs. 3 / sq m, what would be the length of the floor?
Answer the question using a single word or phrase.

[Assistant] 20


[User]
a baker charges n dollars for a birthday cake. next week, she intends to earn 320 dollars selling cakes. if she were to reduce the price of the cake by 20 percent, she would have to sell two more cakes to earn the same amount of revenue. how many cakes does she intend to sell next week?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
a sum of money deposited at c. i. amounts to rs. 1820 in 4 years and to rs. 2402 in 5 years. find the rate percent?
Answer the question using a single word or phrase.

[Assistant] 31 %

[User]
an assembly line produces 30 cogs per hour until an initial order of 60 cogs is completed. the speed of the assembly line is then immediately increased so that it can produce 60 cogs per hour until another 60 cogs are produced. what is the overall average output, in cogs per hour, for the assembly line during this whole time?
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[Assistant] 40

[User]
if the cost price of 44 chocolates is equal to the selling price of 24 chocolates, the gain percent is :
Answer the question using a single word or phrase.

[Assistant] 83.33 %

[User]
90 percent of your marbles are a solid color. 5 percent of your marbles are solid yellow. what percentage of your marbles are a solid color other than yellow?
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[Assistant] 85


[User]
when m divided by 288, the remainder is 47. find the remainder when the same m is divided by 24?
Answer the question using a single word or phrase.

[Assistant] 23

[User]
the length of rectangle is thrice its breadth and its perimeter is 112 m, find the area of the rectangle?
Answer the question using a single word or phrase.

[Assistant] 588 sq m

[User]
in measuring the sides of a rectangle, one side is taken 5 % in excess and the other 4 % in deficit. find the error percent in the area, calculate from the those measurements.
Answer the question using a single word or phrase.

[Assistant] 0.8 %

[User]
we have a rectangular metallic piece of paper that covers exactly the area of a cube. the length of the piece of paper is 144 inches and the width is 72 inches. what is the volume of the cube in cubic feet is 1 feet is 12 inches?
Answer the question using a single word or phrase.

[Assistant] a 216

[User]
working at constant rate, pump x pumped out half of the water in a flooded basement in 7 hours. the pump y was started and the two pumps, working independently at their respective constant rates, pumped out rest of the water in 3 hours. how many hours would it have taken pump y, operating alone at its own constant rate, to pump out all of the water that was pumped out of the basement?
Answer the question using a single word or phrase.

[Assistant] c. 34


[User]
if k is an integer and 0.00010101 x 10 ^ k is greater than 1000, what is the least possible value of k?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
the average weight of a, b and c is 45 kg. if the average weight of a and b be 40 kg and that of b and c be 43 kg, then the weight of b is :
Answer the question using a single word or phrase.

[Assistant] 31 kg

[User]
a car is purchased on hire - purchase. the cash price is $ 22 000 and the terms are a deposit of 10 % of the price, then the balance to be paid off over 60 equal monthly installments. interest is charged at 12 % p. a. what is the monthly installment?
Answer the question using a single word or phrase.

[Assistant] $ 528

[User]
5 is added to a certain number, the sum is multiplied by 2, the product is divided by 5 and 5 is subtracted from the quotient. the remainder left is half of 44. what is the number?
Answer the question using a single word or phrase.

[Assistant] 63

[User]
the ratio between the sale price and the cost price of an article is 9 : 7. what is the ratio between the profit and the cost price of that article?
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[Assistant] 2 : 7


[User]
find the number which when multiplied by 15 is increased by 196.
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[Assistant] 14

[User]
one night a certain hotel rented 3 / 4 of its rooms. including 2 / 3 of their air conditioned rooms. if 3 / 5 of its rooms were air conditioned, what percent of the rooms that were not rented were air conditioned?
Answer the question using a single word or phrase.

[Assistant] 80

[User]
two trains of equal length are running on parallel lines in the same direction at 46 km / hr and 36 km / hr. the faster train catches and completely passes the slower train in 72 seconds. what is the length of each train ( in meters )?
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[Assistant] 100

[User]
80 + 5 * 12 / ( 180 / 3 ) =?
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[Assistant] 81

[User]
ann and bob drive separately to a meeting. ann's average driving speed is greater than bob's avergae driving speed by one - third of bob's average driving speed, and ann drives twice as many miles as bob. what is the ratio t of the number of hours ann spends driving to the meeting to the number of hours bob spends driving to the meeting?
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[Assistant] 3 : 2


[User]
if 6 x = 10 y = 14 z, then what is a possible sum of positive integers x, y, and z?
Answer the question using a single word or phrase.

[Assistant] 213

[User]
tough and tricky questions : percents. over the course of a year, a certain microbrewery increased its beer output by 20 percent. at the same time, it decreased its total working hours by 30 percent. by what percent did this factory increase its output per hour?
Answer the question using a single word or phrase.

[Assistant] 171.4

[User]
walking with 4 / 5 of my usual speed, i arrive at the bus stop 8 minutes later than normal. how many minutes does it take to walk to the bus stop at my usual speed?
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[Assistant] 32

[User]
an inspector rejects 0.08 % of the meters as defective. how many will be examine to project?
Answer the question using a single word or phrase.

[Assistant] 2500

[User]
a can do a piece of work in 15 days and b alone can do it in 10 days. b works at it for 5 days and then leaves. a alone can finish the remaining work in
Answer the question using a single word or phrase.

[Assistant] 7.5 days


[User]
a couple decides to have 3 children. if they succeed in having 3 children and each child is equally likely to be a boy or a girl, what is the probability that they will have exactly 1 girl and 2 boys?
Answer the question using a single word or phrase.

[Assistant] 5 / 8

[User]
if money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 60 / r years. if pat's parents invested $ 7,000 in a long - term bond that pays 6 percent interest, compounded annually, what will be the approximate total amount of the investment 20 years later, when pat is ready for college?
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[Assistant] $ 14000

[User]
find the numbers which are in the ratio 3 : 2 : 4 such that the sum of the first and the second added to the difference of the third and the second is 28?
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[Assistant] 12, 6,16

[User]
eddy and freddy start simultaneously from city a and they travel to city b and city c respectively. eddy takes 3 hours and freddy takes 4 hours to complete the journey. if the distance between city a and city b is 570 kms and city a and city c is 300 kms. what is the ratio of their average speed of travel? ( eddy : freddy )
Answer the question using a single word or phrase.

[Assistant] 38 / 15

[User]
two trains 180 m and 360 m long run at the speed of 60 kmph and 30 kmph in opposite directions in parallel tracks. the time which they take to cross each other is?
Answer the question using a single word or phrase.

[Assistant] 21.6 sec


[User]
if 5 ^ 10 x 2 ^ 10 = 10 ^ n what is the value of n?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
the average of 55 results is 28 and the average of other 28 results is 55. what is the average of all the results?
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[Assistant] 37

[User]
jerry ’ s average ( arithmetic mean ) score on the first 3 of 4 tests is 90. if jerry wants to raise his average by 2 points, what score must he earn on the fourth test?
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[Assistant] 98

[User]
36 men can complete a piece of work in 18 days. in how many days will 9 men complete the same work?
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[Assistant] 72

[User]
a tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. if 4,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
Answer the question using a single word or phrase.

[Assistant] 8.33 %


[User]
the diameter of a garden roller is 1.4 m and it is 4 m long. how much area will it cover in 5 revolutions? ( use ï € = 22 â  „ 7 )
Answer the question using a single word or phrase.

[Assistant] 88 m 2

[User]
at a certain high school, the senior class is twice the size of the junior class. if 7 / 8 of the seniors and 1 / 2 of the juniors study japanese, what fraction of the students in both classes study japanese?
Answer the question using a single word or phrase.

[Assistant] 3 / 4

[User]
a crow leaves its nest, and flies back and forth from its nest to a nearby ditch to gather worms. the distance between the nest and the ditch is 400 meters. in one and a half hours, the crow manages to bring worms to its nest 15 times. what is the speed of the crow in kilometers per hour?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
what is the total cost of 2 sandwiches at $ 2.44 each and 4 sodas at $ 0.87 each?
Answer the question using a single word or phrase.

[Assistant] $ 8.36

[User]
average of 5 numbers is 12. if one number is excluded the average becomes 10. the excluded number is
Answer the question using a single word or phrase.

[Assistant] 20


[User]
a watch was sold at a loss of 10 %. if it was sold for rs. 200 more, there would have been a gain of 4 %. what is the cost price?
Answer the question using a single word or phrase.

[Assistant] 1429

[User]
set a contains all the even numbers between 12 and 60 inclusive. set b contains all the even numbers between 62 and 110 inclusive. what is the difference between the sum of elements of set b and the sum of the elements of set a?
Answer the question using a single word or phrase.

[Assistant] 1250

[User]
a worker earns $ 20 on the first day and spends $ 15 on the second day. the worker earns $ 20 on the third day and spends $ 15 on the fourth day. if this pattern continues, on which day will the worker first reach a net total of $ 90?
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[Assistant] 29

[User]
log 3 n + log 9 n what is 3 digit number n that will be whole number
Answer the question using a single word or phrase.

[Assistant] 729

[User]
an employee ’ s annual salary was increased $ 15,000. if her new annual salary now equals $ 90,000, what was the percent increase?
Answer the question using a single word or phrase.

[Assistant] 20 %


[User]
how many zeros does 50! end with?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
when 1 + 2 = 23, 2 + 3 = 65, 3 + 4 = 127, then 4 + 5 =?
Answer the question using a single word or phrase.

[Assistant] 209

[User]
paul sells encyclopedias door - to - door. he earns $ 150 on every paycheck, regardless of how many sets he sells. in addition, he earns commission as follows : commission sales 10 % $ 0.00 - $ 1000.00 5 % $ 1000.01 - - - > he does not earn double commission. that is, if his sales are $ 12000, he earns 10 % on the first $ 10000 and 5 % on the remaining $ 2000. his largest paycheck of the year was $ 1320. what were his sales for that pay period?
Answer the question using a single word or phrase.

[Assistant] 13,400

[User]
if an article is sold at 19 % profit instead of 12 % profit, then the profit would be $ 84 more. what is the cost price?
Answer the question using a single word or phrase.

[Assistant] $ 1200

[User]
if 213 × 16 = 3408, then 16 × 21.3 is equal to :
Answer the question using a single word or phrase.

[Assistant] 340.8


[User]
a, b and c invest in a partnership in the ratio : 7 / 24 / 36 / 5. after 4 months, a increases his share 50 %. if the total profit at the end of one year is rs. 21600, then what is b's share in the profit?
Answer the question using a single word or phrase.

[Assistant] 4000

[User]
if x and y are numbers such that ( x + 3 ) ( y - 3 ) = 0, what is the smallest possible value of x ^ 2 + y ^ 2
Answer the question using a single word or phrase.

[Assistant] 9

[User]
a bag contains 6 black and 3 white balls. one ball is drawn at random. what is the probability that the ball drawn is white?
Answer the question using a single word or phrase.

[Assistant] 1 / 3

[User]
find large number from below question the difference of two numbers is 1200. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
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[Assistant] 1437

[User]
set a consists of all the prime numbers between 2 and 13. what is the range of set a?
Answer the question using a single word or phrase.

[Assistant] 8


[User]
the toll t, in dollars, for a truck using a certain bridge is given by the formula t = 1.50 + 1.50 ( x − 2 ), where x is the number of axles on the truck. what is the toll for an 18 - wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles?
Answer the question using a single word or phrase.

[Assistant] $ 6.00

[User]
a fraction in reduced form is such that when it is squared and then its numerator is reduced by 33 ( 1 / 3 ) % and denominator is reduced to 20 %, its result is twice the original fraction. the sum of numerator and denominator is :
Answer the question using a single word or phrase.

[Assistant] 8

[User]
car a is 24 miles behind car b, which is traveling in the same direction along the same route as car a. car a is traveling at a constant speed of 58 miles per hour and car bis traveling at a constant speed of 50 miles per hour. how many hours will it take for car a to overtake and drive 8 miles ahead of car b?
Answer the question using a single word or phrase.

[Assistant] 4.0

[User]
a rainstorm increased the amount of water stored in state j reservoirs from 180 billion gallons to 200 billion gallons. if the storm increased the amount of water in the reservoirs to 60 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?
Answer the question using a single word or phrase.

[Assistant] 144

[User]
find the simple interest for rs. 2000 at 8 % p / a for 2 years.
Answer the question using a single word or phrase.

[Assistant] 3 rs. 20


[User]
16 business executives and 7 chairmen meet at a conference. if each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place?
Answer the question using a single word or phrase.

[Assistant] 232

[User]
if two trains are 120 miles apart and are traveling toward each other at constant rate of 30 miles per hour and 40 miles per hour, respectively, how far apart will they be 1 hour before they meet?
Answer the question using a single word or phrase.

[Assistant] 70

[User]
a computer is programmed to multiply consecutive even integers 2 * 4 * 6 * 8 * … * n until the product is divisible by 2211, what is the value of n?
Answer the question using a single word or phrase.

[Assistant] 134

[User]
if 30 honey bees make 30 grams of honey in 30 days, then 1 honey bee will make 1 gram of honey in how many days?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
a basket of 1430 apples is divided equally among a group of apple lovers. if 45 people join the group, each apple lover would receive 9 apples less. how many q apples did each person get before 45 people joined the feast?
Answer the question using a single word or phrase.

[Assistant] 22.


[User]
there are 300 employees in a room. 99 % are managers. how many managers must leave the room to bring down the percentage of managers to 98 %?
Answer the question using a single word or phrase.

[Assistant] 150

[User]
the ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8. if there are 75 black cars in the lot, how many red cars are there in the lot?
Answer the question using a single word or phrase.

[Assistant] 28

[User]
a total of 50 percent of the geese included in a certain migration study were male. if some of the geese migrated during the study and 20 percent of the migrating geese were male, what was the ratio of the migration rate for the male geese to the migration rate for the female geese? [ migration rate for geese of a certain sex = ( number of geese of that sex migrating ) / ( total number of geese of that sex ) ]
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[Assistant] 1 / 4

[User]
mukesh weight 56.7 kg. if he reduces his weight in the ratio 7 : 6. new weight of mukesh is?
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[Assistant] 48.6

[User]
a shopkeeper fixes the marked price of an item 30 % above its cost price. the percentage of discount allowed to gain 8 % is
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[Assistant] 16.92 %


[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 36 kilometers, maxwell's walking speed is 3 km / h, and brad's running speed is 6 km / h. what is the distance traveled by maxwell when they meet in the middle?
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[Assistant] 12

[User]
a meal cost $ 32.50 and there was no tax. if the tip was more than 10 pc but less than 15 pc of the price, then the total amount paid should be :
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[Assistant] 36 - 37

[User]
stacy and heather are 15 miles apart and walk towards each other along the same route. stacy walks at constant rate that is 1 mile per hour fast than heather's constant rate of 5 miles / hour. if heather starts her journey 24 minutes after stacy, how far from the original destination has heather walked when the two meet?.
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[Assistant] 5.7 mile

[User]
a group of students decided to collect as many paise from each member of group as is the number of members. if the total collection amounts to rs. 13.69, the number of the member is the group is :
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[Assistant] 37

[User]
find the area of trapezium whose parallel sides are 10 cm and 18 cm long, and the distance between them is 15 cm.
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[Assistant] 210 cm 2


[User]
how many paying stones, each measuring 2 1 / 2 m * 2 m are required to pave a rectangular court yard 40 m long and 16 1 / 2 m board?
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[Assistant] 132

[User]
when a number is divided by 13, the remainder is 11. when the same number is divided by 17, the remainder is 9. what is the number?
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[Assistant] 349

[User]
if 1 / ( x + 5 ) + 1 / ( x - 5 ) = 1 / ( x - 5 ), what is the value of x?
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[Assistant] 5

[User]
how many liters of water must be added to 20 liters of milk and water containing 10 % water to make it 60 % water?
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[Assistant] 25

[User]
the value of a machine depreciates at 20 % per annum. if its present value is $ 1, 50,000, at what price should it be sold after two years such that a profit of $ 24,000 is made?
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[Assistant] $ 120000


[User]
a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 12 candidates eligible to fill 2 identical positions in the computer science department. if none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
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[Assistant] 462

[User]
pipe a can fill a tank in 3 hours. due to a leak at the bottom, it takes 6 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 area of a rectangular field is equal to 200 square meters. its perimeter is equal to 60 meters. find the width of this rectangle.
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[Assistant] 10

[User]
carmen made a sculpture from small pieces of wood. the sculpture is 2 feet 10 inches tall. carmen places her sculpture on a base that is 2 inches tall. how tall are the sculpture andbase together?
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[Assistant] 3.0 feet

[User]
if the simple interest on a sum of money for 2 years at 5 % per annum is rs. 56, what is the compound interest on the same sum at the rate and for the same time?
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[Assistant] s. 57.40


[User]
the area of sector of a circle whose radius is 18 metro and whose angle at the center is 42 â ° is?
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[Assistant] 118.8

[User]
the amounts of time that three secretaries worked on a special project are in the ratio of 1 to 2 to 5. if they worked a combined total of 120 hours, how many hours did the secretary who worked the longest spend on the project?
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[Assistant] 75

[User]
a number of 44 marbles is to be divided and contain with boxes. if each box is to contain 3, 4, or 5 marbles, what is the largest possible number of boxes?
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[Assistant] 14

[User]
danny is sitting on a rectangular box. the area of the front face of the box is half the area of the top face, and the area of the top face is 1.5 times the area of the side face. if the volume of the box is 192, what is the area of the side face of the box?
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[Assistant] 32

[User]
diana is painting statues. she has 1 / 2 of a gallon of paint remaining. each statue requires 1 / 4 gallon of paint. how many statues can she paint?
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[Assistant] 2


[User]
find the average of first 15 natural numbers.
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[Assistant] 8

[User]
the “ a - number ” of a number x is defined as the ones digit of 2 ^ x. antony rolls a die with 6 sides labeled with the integers from 1 to 6, each of which has an equal probability of landing face - up. he then takes 3 ^ a, where a is the a - number of the result of his die roll, and plots 3 ^ a on a number line as the point a. finally, he repeats this entire process, this time plotting the result as the point b. what is the probability that the distance between a and b is greater than the value of b?
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[Assistant] 13 / 36

[User]
you and your friend spent a total of $ 17 for lunch. your friend spent $ 3 more than you. how much did your friend spend on their lunch?
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[Assistant] $ 10

[User]
a man buy a book in rs 50 & sale it rs 60. what is the rate of profit???
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[Assistant] 20 %

[User]
a man complete a journey in 1010 hours. he travels first half of the journey at the rate of 2121 km / hr and second half at the rate of 2424 km / hr. find the total journey in km.
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[Assistant] 224 km


[User]
the length of a rectangle is two - fifths of the radius of a circle. the radius of the circle is equal to the side of the square, whose area is 2500 sq. units. what is the area ( in sq. units ) of the rectangle if the rectangle if the breadth is 10 units?
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[Assistant] 200

[User]
convert 1.6 hectares in ares
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[Assistant] 160 ares.

[User]
calculate the speed of a boat in still water ( in km / hr ) if in one hour, the boat goes 15 km / hr downstream and 7 km / hr upstream.
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[Assistant] 11 kmph

[User]
a and b go around a circular track of length 400 m on a cycle at speeds of 36 kmph and 36 kmph. after how much time will they meet for the first time at the starting point?
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[Assistant] 40 sec

[User]
a circle graph shows how the megatech corporation allocates its research and development budget : 9 % microphotonics ; 14 % home electronics ; 10 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics. if the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
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[Assistant] 108 °


[User]
a mixture of 40 liters of milk and water contains 10 % water. how much water should be added to this so that water may be 20 % in the new mixture?
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[Assistant] 5

[User]
in the number 11,0 ab, a and b represent the tens and units digits, respectively. if 11,0 ab is divisible by 50, what is the greatest possible value of b × a?
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[Assistant] 20

[User]
a trained covered x km at 40 kmph and another 2 x km at 20 kmph. find the average speed of the train in covering the entire 5 x km.
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[Assistant] 40

[User]
riya and priya set on a journey. riya moves eastward at a speed of 21 kmph and priya moves westward at a speed of 22 kmph. how far will be priya from riya after 60 minutes
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[Assistant] 43 kms

[User]
a family had dinner in a restaurant and paid $ 30 for food. they also had to pay 9.5 % sale tax and 10 % for the tip. how much did they pay for the dinner?
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[Assistant] $ 35.85