[User]
what distance will be covered by a bus moving at 54 kmph in 30 seconds?
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[Assistant] 900

[User]
if ( 1 / 2 ) ^ 22 ( 1 / 81 ) ^ k = 1 / 18 ^ 22, then k =
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[Assistant] 11

[User]
two pipes a and b can separately fill a tank in 10 and 15 minutes respectively. a third pipe c can drain off 45 liters of water per minute. if all the pipes are opened, the tank can be filled in 15 minutes. what is the capacity of the tank?
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[Assistant] 450

[User]
a baker makes chocolate cookies and peanut cookies. his recipes allow him to make chocolate cookie in batches of 7 and peanut cookies in batches of 6. if he makes exactly 97 cookies, what is the minimum number of chocolate chip cookies he makes?
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[Assistant] 7

[User]
a cube of edge 17 cm is immersed completely in a rectangular vessel containing water. if the dimensions of the base of vessel are 20 cm * 15 cm, find the rise in water level?
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[Assistant] 16.37 cm


[User]
find the simple interest on rs. 520 for 7 months at 8 paisa per month?
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[Assistant] 291

[User]
a person incurs 10 % loss by selling a laptop for $ 900. at what price should the watch be sold to earn 10 % profit?
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[Assistant] 1100

[User]
product of two natural numbers is 11. then, the sum of reciprocals of their squares is
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[Assistant] 122 / 121

[User]
a survey of employers found that during 1993 employment costs rose 3.5 percent, where employment costs consist of salary costs and fringe - benefit costs. if salary costs rose 3 percent and fringe - benefit costs rose 4.5 percent during 1993, then fringe - benefit costs represented what percent of employment costs at the beginning of 1993?
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[Assistant] 33 %

[User]
sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. sandy attempts 30 sums and obtains 45 marks. how many sums did sandy get correct?
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[Assistant] 21


[User]
bruce and anne can clean their house in 4 hours working together at their respective constant rates. if anne ’ s speed were doubled, they could clean their house in 3 hours working at their respective rates. how many q hours does it currently take anne to clean the house on her own?
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[Assistant] 12

[User]
if the average ( arithmetic mean ) of a and b is 160, and c – a = 200, what is the average of b and c?
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[Assistant] 260

[User]
the sum of all the integers k such that – 24 < k < 24 is
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[Assistant] - 45

[User]
a student is ranked 21 th from right and 11 th from left. how many students are there in totality?
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[Assistant] 31

[User]
the h. c. f. of two numbers is 23 and the other two factors of their l. c. m. are 13 and 19. the larger of the two numbers is :
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[Assistant] 437


[User]
find the sum of the number of combinations possible by using 12, 34 such that no number is repeated ( ex : - 12234322 are invalid 12344321 are valid ) more than once.
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[Assistant] 66660

[User]
linda spent 3 / 4 of her savings on furniture and the rest on a tv. if the tv cost her $ 240, what were her original savings?
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[Assistant] $ 960

[User]
how many seconds will a 800 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr?
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[Assistant] 48

[User]
a man cheats while buying as well as while selling. while buying he takes 10 % more than what he pays for and while selling he gives 20 % less than what he claims to. find the profit percent, if he sells at 13 % below the cost price of the claimed weight.
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[Assistant] 19.63 %

[User]
if log 64 = 1.8061, then the value of log 16 will be ( approx )?
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[Assistant] 1.204


[User]
the student manager of the university theater estimated that for every 6 movie tickets sold on valentine's weekend, the theater will sell 3 packs of grain crackers at $ 2.25 each, 4 bottles of a beverage at $ 1.50 each, and 4 chocolate bars at $ 1.00 each. find the approximate average ( arithmetic mean ) amount of estimated snack sales per movie ticket sold.
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[Assistant] $ 2.79

[User]
the sum of the ages of 5 children born at the intervals of 4 years each is 50 years. what is the age of the eldest child?
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[Assistant] 18

[User]
a 28 cm long wire is to be cut into two pieces so that one piece will be 2.00001 / 5 th of the other, how many centimeters will the shorter piece be?
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[Assistant] 8

[User]
eighteen years ago, a father was 3 times as old as his son. now the father is only twice as old as his son. then the sum of the present ages of the son and the father is :
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[Assistant] 108

[User]
the banker's gain on a sum due 6 years hence at 12 % per annum is rs. 828. what is the banker's discount?
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[Assistant] 1978


[User]
a runner runs the 40 miles from marathon to athens at a constant speed. halfway through the run she injures her foot, and continues to run at half her previous speed. if the second half takes her 12 hours longer than the first half, how many hours did it take the runner to run the second half?
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[Assistant] 24

[User]
the racing magic takes 40 seconds to circle the racing track once. the charging bull makes 40 rounds of the track in an hour. if they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time?
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[Assistant] 12

[User]
every day daniel drives 96 miles back from work. on sunday, daniel drove all the way back from work at a constant speed of x miles per hour. on monday, daniel drove the first 32 miles back from work at ( 2 x ) miles per hour, and the rest of the way at ( x / 2 ) miles per hour. the time it took daniel to drive back from work on monday is longer than the time it took him to drive back from work on sunday by what percent?
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[Assistant] 50 %

[User]
a train running at the speed of 108 km / hr crosses a pole in 7 seconds. find the length of the train.
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[Assistant] 210 meter

[User]
a train crosses a bridge of length 2500 m in 120 seconds and a lamp post on the bridge in 30 seconds. what is the length of the train in metres?
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[Assistant] 2500 / 3 m


[User]
if a coin has an equal probability of landing heads up or tails up each time it is flipped, what is the probability that the coin will land heads up exectly twice in 3 consecutive flips?
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[Assistant] 0.375

[User]
the length of the bridge, which a train 110 metres long and travelling at 45 km / hr can cross in 30 seconds, is :
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[Assistant] 265

[User]
one hour after yolanda started walking from x to y, a distance of 40 miles, bob started walking along the same road from y to x. if yolanda â s walking rate was 2 miles per hour and bob â s was 4 miles per hour, how many miles had bob walked when they met?
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[Assistant] 25.32

[User]
23, 29, 31, 37, 41, 43, 47, 53, (... )
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[Assistant] 59

[User]
what is the rate percent when the simple interest on rs. 800 amount to rs. 160 in 4 years?
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[Assistant] 5 %


[User]
a and b can do a piece of work in 4 2 / 3 days and 5 days respectively. they work together for 1 days and then a leaves. in how many days after that b will complete the work alone.
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[Assistant] 2.92 days

[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 24 hours and 8 hours respectively. the ratio of their speeds is
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[Assistant] 1 : 3

[User]
length of a rectangular plot is 20 mtr more than its breadth. if the cost of fencin gthe plot at 26.50 per meter is rs. 5300, what is the length of the plot in mtr?
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[Assistant] 60 m

[User]
a train is running at a speed of 40 km / hr and it crosses a post in 17.1 seconds. what is the length of the train?
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[Assistant] 190 metres

[User]
of the 160 people at a party, 70 were women, and 50 women tried the appetizer. if 50 people did not try the appetizer, what is the total number of men who tried the appetizer?
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[Assistant] 60


[User]
a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 20 sec. what is the length of the platform?
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[Assistant] 285 m

[User]
a box measuring 49 inches long by 42 inches wide by 14 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] 84

[User]
if 20 liters of chemical x are added to 80 liters of a mixture that is 20 % chemical x and 80 % chemical y, then what percentage of the resulting mixture is chemical x?
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[Assistant] 36 %

[User]
working together, jose and jane can complete an assigned task in 20 days. however, if jose worked alone and completed half the work and then jane takes over and completes the second half, the task will be completed in 45 days. how long will jose take to complete the task if he worked alone? assume that jane is more efficient than jose.
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[Assistant] 60 days

[User]
a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 3 of 10 candidates eligible to fill 3 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 4 candidates are there to fill the 4 positions?
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[Assistant] 840


[User]
the volume of a cube is 343 cc. find its surface.
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[Assistant] 294

[User]
a boeing 757 flies a direct route from dallas, tx, to phoenix, az and then returns to dallas, tx. the flight is 900 miles one way. it took 2 hrs and 15 minutes for the flight to phoenix and 2 hrs for the flight back to dallas. what was the speed of the wind in mph?
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[Assistant] 25 mph

[User]
he total marks obtained by a student in physics, chemistry and mathematics is 180 more than the marks obtained by him in physics. what is the average mark obtained by him in chemistry and mathematics?
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[Assistant] 90

[User]
rahim bought 27 books for rs. 581 from one shop and 20 books for rs. 594 from another. what is the average price he paid per book?
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[Assistant] 25

[User]
a, b and c enter into partnership. a invests some money at the beginning, b invests double the amount after 6 months, and c invests thrice the amount after 8 months. if the annual gain be rs. 24000. a's share is?
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[Assistant] 8000


[User]
the ratio of flour to water to sugar in a recipe is 10 : 6 : 3. the ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. if the new recipe calls for 2 cups of water, how much sugar is required?
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[Assistant] 4

[User]
an artist wishes to paint a circular region on a square poster that is 4 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] 1

[User]
the smallest number which when diminished by 4, is divisible by 12, 16, 18, 21 and 28 is
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[Assistant] 1012

[User]
two numbers are in the ratio 3 : 5. if 9 is subtracted from each, the new numbers are in the ratio 12 : 23. the smaller number is :
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[Assistant] 33

[User]
two cars, car 1 and car 2 move towards each other from q and y respectively with respective speeds of 20 m / s and 15 m / s. after meeting each other car 1 reaches y in 10 seconds. in how many seconds does car 2 reach q starting from y?
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[Assistant] 31.11 sec


[User]
in a division sum, the remainder is 8 and the divisor is 3 times the quotient and is obtained by adding 3 to the thrice of the remainder. the dividend is :
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[Assistant] 251

[User]
the area of a sector of a circle of radius 5 cm formed by an arc of length 4.5 cm is?
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[Assistant] 11.25

[User]
if x = - 5 and y = 8, what is the value of 2 ( x - y ) ^ 2 - xy?
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[Assistant] 378

[User]
let f ( x ) = x ^ 2 + bx + c. if f ( 1 ) = 0 and f ( - 6 ) = 0, then f ( x ) crosses the y - axis at what y - coordinate?
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[Assistant] - 6

[User]
kim has 7 pairs of shoes ; each pair is a different color. if kim randomly selects 2 shoes without replacement from the 14 shoes, what is the probability that she will select 2 shoes of the same color?
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[Assistant] 1 / 13


[User]
find the distance covered by a man walking for 36 min at a speed of 10 km / hr?
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[Assistant] 6 km

[User]
a can finish a piece of work in 5 days. b can do it in 10 days. they work together for 1 day and then a goes away. in how many days will b finish the work?
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[Assistant] 7 days

[User]
in an xy - coordinate plane, a line is defined by y = kx + 1. if ( 4, b ), ( a, 5 ), and ( a, b + 1 ) are 3 points on the line, where a and b are unknown, then k =?
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[Assistant] 3 / 4

[User]
david has $ 1,500 at the beginning of his trip, after spending money, he still has exactly $ 500 less than he spent on the trip. how much money does john still have?
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[Assistant] $ 500

[User]
a student was asked to find 4 / 5 of a number. but the student divided the number by 4 / 5, thus the student got 18 more than the correct answer. find the number.
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[Assistant] 40


[User]
jo's collection contains us, indian and british stamps. if the ratio of us to indian stamps is 5 to 3 and the ratio of indian to british stamps is 5 to 1, what is the ratio of us to british stamps?
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[Assistant] 25 : 2

[User]
in 2008, the profits of company n were 10 percent of revenues. in 2009, the revenues of company n fell by 5 percent, but profits were 10 percent of revenues. the profits in 2009 were what percent of the profits in 2008?
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[Assistant] 95 %

[User]
a house wife saved $ 3.50 in buying an item on sale. if she spent $ 32.50 for the item, approximately how much percent she saved in the transaction?
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[Assistant] 10 %

[User]
a garrison of 1000 men has provisions for 60 days. at the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. what is the reinforcement?
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[Assistant] 1250

[User]
on an order of 99 dozen boxes of a consumer product, a retailer receives an extra dozen free. this is equivalent to allowing him a discount of :
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[Assistant] 1 %


[User]
if a - b = 3 and a ^ 2 + b ^ 2 = 35, find the value of ab.
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[Assistant] 13

[User]
on the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. on the particular day 320 children were absent and as a result each child got two extra bananas. find the actual number of children in the school?
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[Assistant] 640

[User]
45 men working 8 hours per day dig 30 m deep. how many extra men should be put to dig to a depth of 50 m working 6 hours per day?
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[Assistant] 55

[User]
one hour before john started walking from p to q, a distance of 38 miles, ann had started walking along the same road from q to p. ann walked at a constant speed of 3 miles per hour and john at 2 miles per hour. how many miles had ann walked when they met?
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[Assistant] 24 miles

[User]
simplify 586645 * 9999
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[Assistant] 5865863355


[User]
the true discount on a bill due 9 months hence at 16 % per annum is rs. 189. the amount of the bill is :
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[Assistant] rs. 1764

[User]
if the price of petrol increases by 30, by how much must a user cut down his consumption so that his expenditure on petrol remains constant?
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[Assistant] 23 %

[User]
pipe a that can fill a tank in two hour and pipe b that can fill the tank in an hour are opened simultaneously when the tank is empty. pipe b is shut 30 minutes before the tank overflows. when will the tank overflow?
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[Assistant] 30 mins

[User]
two family reunions are happening at the taj hotel, the oates reunion and the hall reunion. all 150 guests at the hotel attend at least one of the reunions. if 70 people attend the oates reunion and 52 people attend the hall reunion, how many people attend both reunions?
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[Assistant] 28

[User]
you buy a piece of land with an area of â ˆ š 1024, how long is one side of the land plot?
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[Assistant] 32


[User]
divide rs. 720 among a, b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together. a's share is?
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[Assistant] s. 180

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

[User]
half a number plus 5 is 15. what is the number?
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[Assistant] 20

[User]
a car takes 6 hours to cover a distance of 630 km. how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time?
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[Assistant] 70 kmph

[User]
population of a city in 20004 was 1100000. if in 2005 there isan increment of 15 %, in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 %, then find the population of city atthe end of the year 2007
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[Assistant] 2384525 / 2


[User]
a man walking at a rate of 15 km / hr crosses a bridge in 15 minutes. the length of the bridge is?
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[Assistant] 750 m

[User]
a room 4 m 47 cm long and 7 m 77 cm broad is to be paved with square tiles. find the least number of square tiles required to cover the floor.
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[Assistant] 38591

[User]
the cost price of an book is 64 % of the marked price. calculate the gain percent after allowing a discount of 13 %?
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[Assistant] 35.9 %

[User]
the two lines y = x and x = - 4 intersect on the coordinate plane. if z represents the area of the figure formed by the intersecting lines and the x - axis, what is the side length r of a cube whose surface area is equal to 6 z?
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[Assistant] r = 2 √ 2

[User]
a candidate got 25 % of the votes polled and he lost to his rival by 4000 votes. how many votes were cast?
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[Assistant] 8000


[User]
8, 24, 12, 36, 18, 54, (.... )
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[Assistant] 27

[User]
39! is divided by 41. then what is the remainder for this?
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[Assistant] 1

[User]
the ratio 5 : 20 expressed as percent equals to
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[Assistant] 25 %

[User]
a sum of money becomes 7 / 6 of itself in 2 years at a certain rate of simple interest. the rate per annum is?
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[Assistant] 50 / 6

[User]
a train travels 325 km in 3.5 hours and 470 km in 4 hours. find the average speed of train?
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[Assistant] 106 kmph


[User]
a bucket full of nuts was discovered by the crow living in the basement. the crow eats a sixth of the total number of nuts in 8 hours. how many hours in total will it take the crow to finish a quarter of the nuts?
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[Assistant] 12

[User]
speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph. a man rows to a place at a distance of 7560 km and comes back to the starting point. the total time taken by him is :
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[Assistant] 960 hours

[User]
jennifer had $ 150 to spend on herself. she spent 1 / 5 of the money on a sandwich, 1 / 6 for a ticket to a museum, and 1 / 2 of it on a book. how much money does jennifer have left over?
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[Assistant] $ 20

[User]
excluding the stoppages, the speed of a bus is 32 km / hr and including the stoppages the speed of the bus is 16 km / hr. for how many minutes does the bus stop per hour?
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[Assistant] 30 min

[User]
what is the sum of all the multiples of 10 between 0 and 75?
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[Assistant] 280


[User]
the sum of the non - prime numbers between 10 and 20, non - inclusive, is
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[Assistant] 75

[User]
the length of a rectangular plot is 10 mtr more than its width. the cost of fencing the plot along its perimeter at the rate of rs. 6.5 mtr is rs. 2210. the perimeter of the plot is?
Answer the question using a single word or phrase.

[Assistant] 340

[User]
the sides of a rectangle are in the ratio of 6 : 5 and its area is 1331 sq. m. find the perimeter of rectangle.
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[Assistant] 121

[User]
the ratio of the volumes of two cubes is 729 : 1331. what is the ratio of their total surface areas?
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[Assistant] 81 : 121

[User]
at what rate percent on simple interest will rs. 1750 amount to rs. 2000 in 4 years?
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[Assistant] 3.57 %


[User]
roy is now 8 years older than julia and half of that amount older than kelly. if in 2 years, roy will be three times as old as julia, then in 2 years what would be roy ’ s age multiplied by kelly ’ s age?
Answer the question using a single word or phrase.

[Assistant] 96

[User]
having scored 95 runs in the 19 th inning, a cricketer increases his average score by 4. what will be his average score after 19 innings?
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[Assistant] 23

[User]
in a village of 2,700 people, 900 people are over 70 years old and 1200 people are female. it is known that 40 percent of the females are younger than 70 years old. if no one in the village is 70 years old, what is the probability that a person chosen at random is either a male or younger than 70 years old?
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[Assistant] 11 / 15

[User]
the marks obtained by vijay and amith are in the ratio 4 : 4 and those obtained by amith and abhishek in the ratio of 3 : 2. the marks obtained by vijay and abhishek are in the ratio of?
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[Assistant] 3 : 2

[User]
5 x + y = 19, and x + 3 y = 1. find the value of 3 x + 2 y
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[Assistant] 10


[User]
a number is increased by 50 % and then decreased by 50 %. find the net increase or decrease per cent.
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[Assistant] 25 %

[User]
the unit digit in the product ( 115 * 297 * 196 * 108 ) is :
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[Assistant] 0

[User]
if 0.75 : x : : 5 : 8, then x is equal to :
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[Assistant] 1.2

[User]
the effective annual rate of interest corresponding to a nominal rate of 6 % per annum payable half - yearly is :
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[Assistant] 6.09 %

[User]
a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs. 1200, what is the reduced price for kg?
Answer the question using a single word or phrase.

[Assistant] s. 60


[User]
if 50 % of ( x - y ) = 20 % of ( x + y ) then what percent of x is y?
Answer the question using a single word or phrase.

[Assistant] 43 %

[User]
ashwin rented a power tool from a rental shop. the rent for the tool was $ 25 for the first hour and $ 10 for each additional hour. if ashwin paid a total of $ 125, excluding sales tax, to rent the tool, for how many hours did she rent it?
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[Assistant] 11

[User]
b as a percentage of a is equal to a as a percentage of ( a + b ). find b as a percentage of a.
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[Assistant] 62 %

[User]
on the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. on the particular day 390 children were absent and as a result each child got two extra bananas. find the actual number of children in the school?
Answer the question using a single word or phrase.

[Assistant] 780

[User]
if 20 men can build a wall 112 metres long in 6 days, what length of a similar wall can be built by 40 men in 3 days?
Answer the question using a single word or phrase.

[Assistant] 112 mtr.


[User]
a certain junior class has 1,000 students and a certain senior class has 400 students. among these students, there are 60 siblings pairs, each consisting of 1 junior and 1 senior. if 1 student is to be selected at random from each class, what is the probability that the 2 students selected at will be a sibling pair?
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[Assistant] 3 / 20,000

[User]
a train running at the speed of 180 km / hr crosses a pole in 8 seconds. find the length of the train.
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[Assistant] 400

[User]
in goshawk - eurasian nature reserve 30 percent of the birds are hawks, and 40 percent of the non - hawks are paddyfield - warblers. if there are 25 percent as many kingfishers as paddyfield - warblers in the reserve, then what percent of the birds b in the nature reserve are not hawks, paddyfield - warblers, or kingfishers?
Answer the question using a single word or phrase.

[Assistant] 35 %

[User]
a reduction of 20 % in the price of salt enables a lady to obtain 10 kgs more for rs. 600, find the original price per kg?
Answer the question using a single word or phrase.

[Assistant] s. 15

[User]
what is the remainder when 3 ^ 381 is divided by 5?
Answer the question using a single word or phrase.

[Assistant] 3


[User]
the average age of a group of 10 persons was decreased by 3 years when one person, whose age was 42 years, was replaced by a new person. find the age of the new person?
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[Assistant] 12

[User]
the average of 9 observations was 7, that of the 1 st of 5 being 10 and that of the last 5 being 8. what was the 5 th observation?
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[Assistant] 27

[User]
the guests at a football banquet consumed a total of 319 pounds of food. if no individual guest consumed more than 2 pounds of food, what is the minimum number of guests that could have attended the banquet?
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[Assistant] 160

[User]
8 persons can build a wall 140 m long in 42 days. in how many days can 30 persons complete a similar wall 100 m long?
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[Assistant] 8

[User]
what is the prime factors ’ number of 48?
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[Assistant] 5


[User]
in a group of cows and hens, the number of legs are 20 more than twice the number of heads. the number of cows is
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[Assistant] 10

[User]
the compound interest on a sum of money for 2 years is rs. 832 and the simple interest on the same sum for the same period is rs. 800. the difference between the compound interest and simple interest for 3 years
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[Assistant] 98.56

[User]
if 5 ^ 21 x 4 ^ 11 = 2 x 10 ^ n. what is the value of n?
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[Assistant] 21

[User]
each child has 2 pencils and 13 skittles. if there are 11 children, how many pencils are there in total?
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[Assistant] 22

[User]
. a car covers a distance of 390 km in 4 hours. find its speed?
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[Assistant] 98


[User]
a does 4 / 5 th of a work in 20 days. he then calls in b and they together finish the remaining work in 3 days. how long b alone would take to do the whole work?
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[Assistant] 37 ½ days

[User]
a and b can do a work in 12 days and 36 days respectively. if they work on alternate days beginning with b, in how many days will the work be completed?
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[Assistant] 18

[User]
a train, 140 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] 235 m

[User]
if 12 : 18 : : x : 9, then find the value of x
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[Assistant] 6

[User]
an error 2 % in excess is made while measuring the side of asquare. the % of error in the calculated area of the square is?
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[Assistant] 4.04 %


[User]
a can do a piece of work in 30 days ; b can do the same in 30 days. a started alone but left the work after 10 days, then b worked at it for 10 days. c finished the remaining work in 10 days. c alone can do the whole work in?
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[Assistant] 30 days

[User]
the distance between towns a and b is 300 km. one train departs from town a and another train departs from town b, both leaving at the same moment of time and heading towards each other. we know that one of them is 10 km / hr faster than the other. find the speeds of both trains if 2 hours after their departure the distance between them is 40 km.
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[Assistant] 90

[User]
tom read a book containing 480 pages by reading the same number of pages each day. if he would have finished the book 2 days earlier by reading 16 pages a day more, how many days did tom spend reading the book?
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[Assistant] 12

[User]
a textile manufacturing firm employees 70 looms. it makes fabrics for a branded company. the aggregate sales value of the output of the 70 looms is rs 00000 and the monthly manufacturing expenses is rs 1, 50000. assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms. monthly establishment charges are rs 75000. if one loom breaks down and remains idle for one month, the decrease in profit is :
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[Assistant] 5000

[User]
a fruit seller sells mangoes at the rate of rs. 14 per kg and thereby loses 15 %. at what price per kg, he should have sold them to make a profit of 15 %?
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[Assistant] rs. 18.94


[User]
the average of 45 results is 10. the average of first 22 of them is 15 and that of last 22 is 20. find the 23 result?
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[Assistant] 560

[User]
if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 140, how much more remains to be paid?
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[Assistant] $ 1,260

[User]
a professional janitor can clean a certain high school in ( 4 + 4 ) hours, working at a constant rate. a student sentenced to detention can clean that same high school in 20 hours, also working at a constant rate. if the student is paid $ 7 total per hour and the janitor is paid $ 21 per hour, how much more would it cost the school to pay the janitor to do the job himself than it would to pay the student and the janitor to do the job together?
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[Assistant] $ 8

[User]
3 men and 8 women complete a task in same time as 6 men and 2 women do. how much fraction of work will be finished in same time if 2 men and 3 women will do that task.
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[Assistant] 1 / 2

[User]
a light has a rating of 60 watts, it is replaced with a new light that has 12 % higher wattage. how many watts does the new light have?
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[Assistant] 67


[User]
a sum of money becomes 7 / 6 of itself in 6 years at a certain rate of simple interest. the rate per annum is?
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[Assistant] 25 / 9

[User]
find the missing figures : 0.3 % of? = 0.15
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[Assistant] 50

[User]
the mean daily profit made by a shopkeeper in a month of 30 days was rs. 350. if the mean profit for the first fifteen days was rs. 265, then the mean profit for the last 15 days would be
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[Assistant] rs. 435

[User]
the ratio of the number of females to males at a party was 1 : 2 but when 5 females and 5 males left, the ratio became 1 : 3. how many people were at the party originally?
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[Assistant] 30

[User]
the least number which when increased by 8 each divisible by each one of 24, 32, 36 and 54 is :
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[Assistant] 856


[User]
anil brought a scooter for a certain sum of money. he spent 10 % of the cost on repairs and sold the scooter for a profit of rs. 1100. how much did he spend on repairs if he made a profit of 20 %?
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[Assistant] 500

[User]
if 7 persons can do 7 times of a particular work in 7 days, then, 9 persons can do 9 times of that work in?
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[Assistant] 7 days

[User]
the cost per pound of green tea and coffee were the same in june. in july, the price of coffee shot up by 100 % and that of green tea dropped by 90 %. if in july, a mixture containing equal quantities of green tea and coffee costs $ 3.15 for 3 lbs, how much did a pound of green tea cost in july?
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[Assistant] $ 0.1

[User]
if xy > 0, 1 / x + 1 / y = 4, and 1 / xy = 6, then ( x + y ) / 2 =?
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[Assistant] 1 / 3

[User]
what is 0.01 percent of 12,356?
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[Assistant] 1.2356


[User]
indu gave bindu rs. 2500 on compound interest for 2 years at 4 % per annum. how much loss would indu has suffered had she given it to bindu for 2 years at 2 % per annum simple interest?
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[Assistant] 1

[User]
a case of 12 rolls of paper towels sells for $ 9. the cost of one roll sold individually is $ 1. what is the percent e of savings per roll for the 12 - roll package over the cost of 12 rolls purchased individually?
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[Assistant] 25 %

[User]
for what values of k will the pair of equations 3 ( 3 x + 4 y ) = 36 and kx + 12 y = 30 does not have a unique solution?
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[Assistant] 9

[User]
working at constant rate, pump x pumped out half of the water in a flooded basement in 5 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?
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[Assistant] d. 26

[User]
there 3 kinds of books in the library physics, chemistry and biology. ratio of physics to chemistry is 3 to 2 ; ratio of chemistry to biology is 4 to 3, and the total of the books is more than 3000. which one of following can be the total r of the book?
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[Assistant] 3003


[User]
on rainy mornings, mo drinks exactly n cups of hot chocolate ( assume that n is an integer ). on mornings that are not rainy, mo drinks exactly 5 cups of tea. last week mo drank a total of 36 cups of tea and hot chocolate together. if during that week mo drank 14 more tea cups than hot chocolate cups, then how many rainy days were there last week?
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[Assistant] 2

[User]
there are 2 sections a and b in a class, consisting of 16 and 14 students respectively. if the average weight of section a is 20 kg and that of section b is 25 kg, find the average of the whole class?
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[Assistant] 33.5 kg

[User]
a car traveled 75 % of the way from town a to town b at an average speed of 60 miles per hour. the car travels at an average speed of s miles per hour for the remaining part of the trip. the average speed for the entire trip was 40 miles per hour. what is s?
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[Assistant] 20

[User]
the price of a jacket is reduced by 35 %. during a special sale the price of the jacket is reduced another 10 %. by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
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[Assistant] 70.9

[User]
the number of stamps that p and q had were in the ratio of 7 : 3 respectively. after p gave q 13 stamps, the ratio of the number of p's stamps to the number of q's stamps was 5 : 4. as a result of the gift, p had how many more stamps than q?
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[Assistant] 10


[User]
if x and y are positive integers and 25 x = 10 y what is the least possible value of xy?
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[Assistant] 25

[User]
a retailer bought a shirt at wholesale and marked it up 80 % to its initial price of $ 27. by how many more dollars does he need to increase the price to achieve a 100 % markup?
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[Assistant] 3

[User]
the ratio of the volumes of two cubes is 2744 : 1331. what is the ratio of their total surface areas?
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[Assistant] 196 : 121

[User]
evaluate 28 % of 350 + 45 % of 280
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[Assistant] 224

[User]
three unbiased coins are tossed. what is the probability of getting 1 heads, 1 tail?
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[Assistant] 2 / 8


[User]
divide rs. 32000 in the ratio 3 : 7?
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[Assistant] 9600, 22400

[User]
a train is running with a speed of 60 kmph and its length is 110 metres. calculate the time by which it will pass a man running opposite with speed of 6 kmph
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[Assistant] 6 second

[User]
the total of the ages of amar, akbar and anthony is 66 years. what was the total of their ages 4 years ago?
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[Assistant] 54

[User]
kim finds a 3 - meter tree branch and marks it off in thirds and fifths. she then breaks the branch along all the markings and removes one piece of every distinct length. what fraction of the original branch remains?
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[Assistant] 3 / 5

[User]
a certain country is divided into 8 provinces. each province consists entirely of progressives and traditionalists. if each province contains the same number of traditionalists and the number of traditionalists in any given province is 1 / 12 the total number of progressives in the entire country, what fraction of the country is traditionalist?
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[Assistant] 3 / 5


[User]
5 men are equal to as many women as are equal to 8 boys. all of them earn rs. 90 only. men â € ™ s wages are?
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[Assistant] rs. 6

[User]
stacy has a 33 page history paper due in 3 days. how many pages per day would she have to write to finish on time?
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[Assistant] 11

[User]
the smallest value of n, for which 2 n + 1 is not a prime number, is
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[Assistant] 4

[User]
a train running at the speed of 50 km / hr crosses a pole in 18 seconds. find the length of the train.
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[Assistant] 250

[User]
what sum of money put at c. i amounts in 2 years to rs. 7000 and in 3 years to rs. 9261?
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[Assistant] 4000


[User]
if n is a positive integer and n ^ 2 is divisible by 62, then the largest positive integer that must divide n is
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[Assistant] 12

[User]
if a and b get profits of rs. 60,000 and rs. 6,000 respectively at the end of year then ratio of their investments are
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[Assistant] 10 : 1

[User]
what is the 99 th digit after the decimal point in the decimal expansion of 2 / 9 + 3 / 11?
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[Assistant] 4

[User]
the ratio of ages of aman, bren, and charlie are in the ratio 5 : 8 : 7 respectively. if 8 years ago, the sum of their ages was 76, what will be the age of bren 10 years from now?
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[Assistant] 50

[User]
machine m, n, o working simultaneously machine m can produce x units in 3 / 4 of the time it takes machine n to produce the same amount of units. machine n can produce x units in 2 / 7 the time it takes machine o to produce that amount of units. if all 3 machines are working simultaneously, what fraction of the total output is produced by machine n?
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[Assistant] 7 / 13


[User]
a and b can do a work in 2 days, b and c in 6 days and c and a in 8 days. in how many days will the work be completed, if all three of them work together?
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[Assistant] 48 / 19

[User]
a man is 18 years older than his son. in two years, his age will be twice the age of his son. the present age of this son is
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[Assistant] 16 years

[User]
( 0.0088 ) ( 4.5 ) / ( 0.05 ) ( 0.1 ) ( 0.008 ) =
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[Assistant] 990

[User]
a watch was sold at a loss of 10 %. if it was sold for rs. 210 more, there would have been a gain of 4 %. what is the cost price?
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[Assistant] s. 1500

[User]
( 4300631 ) -? = 2535618
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[Assistant] 1765013


[User]
two trains 250 m and 500 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] 27

[User]
in a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates ( - 3, 1 ), ( 1, 1 ), ( 1, - 2 ) and ( - 3, - 2 )?
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[Assistant] 12

[User]
in 1970 there were 8,902 women stockbrokers in the united states. by 1978 the number had increased to 22,947. approximately what was the percent increase?
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[Assistant] 158 %

[User]
a can finish a piece of work in 4 days. b can do it in 8 days. they work together for two days and then a goes away. in how many days will b finish the work?
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[Assistant] 2

[User]
two trains of length 100 m and 200 m are 100 m apart. they start moving towards each other on parallel tracks, at speeds 90 kmph and 72 kmph. in how much time will the trains cross each other?
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[Assistant] 80 / 9


[User]
a batsman in his 12 th innings makes a score of 65 and thereby increases his average by 3 runs. what is his average after the 12 th innings if he had never been ‘ not out ’?
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[Assistant] 32

[User]
of 30 applicants for a job, 13 had at least 4 years'experience, 18 had degrees, and 3 had less than 4 years'experience and did not have a degree. how many of the applicants had at least 4 years'experience and a degree?
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[Assistant] 6

[User]
a train is 360 meter long is running at a speed of 72 km / hour. in what time will it pass a bridge of 140 meter length?
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[Assistant] 25 seconds

[User]
a certain university will select 2 of 3 candidates eligible to fill a position in the mathematics department and 4 of 5 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] 15

[User]
if 9 spiders make 9 webs in 9 days, then how many days are needed for 1 spider to make 1 web?
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[Assistant] 7 days


[User]
a bullet train 220 m long is running with a speed of 59 kmph. in what time will it pass a man who is running at 7 kmph in the direction opposite to that in which the bullet train is going?
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[Assistant] 12 sec

[User]
at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55, 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 $ 208?
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[Assistant] 2,160

[User]
two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 26 seconds. the ratio of their speeds is?
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[Assistant] 9 / 1

[User]
the spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls. the diameters of two of these are 1 ½ cm and 2 cm respectively. the diameter of third ball is?
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[Assistant] 2.5 cm

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


[User]
a certain university will select 1 of 5 candidates eligible to fill a position in the mathematics department and 4 of 7 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] 175

[User]
if the speed of a man is 51 km per hour, then what is the distance traveled by him in 30 seconds?
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[Assistant] 425 m

[User]
the ratio between the sale price and the cost price of an article is 6 : 4. what is the ratio between the profit and the cost price of that article?
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[Assistant] 1 : 2

[User]
a person want to give his money of $ 5400 to his 3 children a, b, c in the ratio 2 : 3 : 4. what is the b's share?
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[Assistant] $ 1800

[User]
what is the product of first three whole no.
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[Assistant] 0


[User]
the perimeter of one face of a cube is 32 cm. its volume will be :
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[Assistant] 512 cm 3

[User]
what is 2 2 / 3 - 1 1 / 4 divided by 1 / 4 - 1 / 6?
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[Assistant] 17 / 1

[User]
income and expenditure of a person are in the ratio 10 : 7. if the income of the person is rs. 10000, then find his savings?
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[Assistant] 3000

[User]
if the price of an article went up by 15 %, then by what percent should it be brought down to bring it back to its original price?
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[Assistant] 17.39 %

[User]
solution x is 10 percent alcohol by volume, and solution y is 30 percent alcohol by volume. how many milliliters of solution y must be added to 100 milliliters of solution x to create a solution that is 25 percent alcohol by volume?
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[Assistant] 300


[User]
one millisecond is 0.001 of a second. the costs for a single run of a computer program are $ 1.07 for operating - system overhead, $ 0.023 per millisecond of computer time, and $ 5.35 for the mounting of a data tape. what is the total of these 3 costs for 1 run of a program that requires 1.5 seconds of computer time?
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[Assistant] $ 40.92

[User]
if 20 typists can type 46 letters in 20 minutes, then how many letters will 30 typists working at the same rate complete in 1 hour?
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[Assistant] 207

[User]
the figure above shows the dimensions of a semicircular cross section of a one - way tunnel. the single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel. if vehicles must clear the top of the tunnel by at least ½ foot when they are inside the traffic lane, what should be the limit h on the height of vehicles that are allowed to use the tunnel?
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[Assistant] 7 ½ ft

[User]
if 4 x + y = 34, 2 x - y = 20, for integers of x and y, y ^ 2 =?
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[Assistant] 4

[User]
what is the sum of mean and median of 17, 45, 59, 113, 76, 95, 59, 35, 1236?
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[Assistant] 54.7


[User]
if 0 is the remainder when m is divided by 4, what is the remainder when 6 m is divided by 4?
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[Assistant] 0

[User]
if a / b = 5 / 2, b / c = 1 / 2, c / d = 1, d / e = 3 / 2 and e / f = 4 / 3, then what is the value of abc / def?
Answer the question using a single word or phrase.

[Assistant] 15 / 8

[User]
a computer manufacturer produces a certain electronic component at a cost of $ 75 per component. shipping costs for delivering the components are $ 2 per unit. further, the manufacturer has costs of $ 16,500 a month related to the electronic component regardless of how many it produces. if the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs do n't exceed the revenues?
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[Assistant] $ 187

[User]
if paint costs $ 3.20 per quart, and a quart covers 10 square feet, how much will it cost to paint the outside of a cube 10 feet on each edge?
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[Assistant] $ 192.00

[User]
walking 7 / 6 of his usual rate, a boy reaches his school 3 min early. find his usual time to reach the school?
Answer the question using a single word or phrase.

[Assistant] 21


[User]
if a rectangular room measures 9 meters by 5 meters by 4 meters, what is the volume of the room in cubic centimeters? ( 1 meter = 100 centimeters )
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[Assistant] 18, 000,000

[User]
the price of a certain painting increased by 20 % during the first year and decreased by 15 % during the second year. the price of the painting at the end of the 2 - year period was what percent of the original price?
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[Assistant] 102 %

[User]
a man sold 18 toys for rs. 25200, gaining thereby the cost price of 3 toy find the cost price of a toy
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[Assistant] s. 1200

[User]
a, b and c rents a pasture for rs. 870. a put in 12 horses for 8 months, b 16 horses for 9 months and 18 horses for 6 months. how much should c pay?
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[Assistant] 270

[User]
sonika deposited rs. 8000 which amounted to rs. 9200 after 3 years at simple interest. had the interest been 3 % more. she would get how much?
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[Assistant] 9920


[User]
the average of first five prime numbers greater than 17 is?
Answer the question using a single word or phrase.

[Assistant] 27.8

[User]
in a graduating class of 232 students, 144 took geometry and 119 took biology. what is the difference between the greatest possible number i and the smallest possible number of students that could have taken both geometry and biology?
Answer the question using a single word or phrase.

[Assistant] 88

[User]
two alloys a and b are composed of two basic elements. the ratios of the compositions of the two basic elements in the two alloys are 7 : 5 and 1 : 2, respectively. a new alloy x is formed by mixing the two alloys a and b in the ratio 4 : 3. what is the ratio of the composition of the two basic elements in alloy x?
Answer the question using a single word or phrase.

[Assistant] 10 : 11

[User]
for the past n days, the average ( arithmetic mean ) daily production at a company was 50 units. if today's production of 60 units raises the average to 55 units per day, what is the value of n?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
sue's trail mix is 30 % nuts and 70 % dried fruit. jane's trail mix is 60 % nuts and 40 % chocolate chips. if the combined mixture of sue and jane's trails mix contains 55 % nuts, what percent of the combined mixture is dried fruit?
Answer the question using a single word or phrase.

[Assistant] 11.7 %


[User]
think of a number, divide it by 4 and add 9 to it. the result is 15. what is the number thought of?
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[Assistant] 24

[User]
what number is obtained by adding the units digits of 734 ^ 98 and 347 ^ 81?
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[Assistant] 13

[User]
in a new housing development, trees are to be planted along the sidewalk of a certain street. each tree takes up one square foot of sidewalk space, and there are to be 10 feet between each tree. how many trees can be planted if the road is 166 feet long?
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[Assistant] 16

[User]
a cube is painted red on all faces. it is then cut into 27 equal smaller cubes. how many l cubes are painted on only 2 faces?
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[Assistant] 12

[User]
let n be the greatest number that will divide 1305, 4665 and 6905, leaving the game remainder in each case. then sum of the digits in n is :
Answer the question using a single word or phrase.

[Assistant] 4


[User]
in a rectangular coordinate system, what is the area of a quadrilateral whose vertices have the coordinates ( 3, - 1 ), ( 3, 8 ), ( 12, 2 ), ( 12, - 7 )?
Answer the question using a single word or phrase.

[Assistant] 81

[User]
a train running at a speed of 36 km / h passes an electric pole in 15 seconds. in how many seconds will the whole train pass a 380 - meter long platform?
Answer the question using a single word or phrase.

[Assistant] 53

[User]
a train running at the speed of 60 km / hr crosses a pole in 21 sec. what is the length of the train?
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[Assistant] 350 m

[User]
the sum of the first 70 positive even integers is 4,970. what is the sum of the first 70 odd integers?
Answer the question using a single word or phrase.

[Assistant] 4900

[User]
a family consists of two grandparents, two parents, and 3 grandchildren. the average age of the grandparents is 64 years, the average age of the parents is 39 years, and the average age of the grandchildren is 6 years. what is the average age ( in years ) of the family?
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[Assistant] 32


[User]
if 0.5 % of a = 70 paise, then the value of a is?
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[Assistant] rs. 140

[User]
darcy lives 1.5 miles from work. she can walk to work at a constant rate of 3 miles per hour, or she can ride the train to work at a constant rate of 20 miles per hour. if she rides the train, there is an additional x minutes spent walking to the nearest train station, waiting for the train, and walking from the final train station to her work. if it takes darcy a total of 15 more minutes to commute to work by walking than it takes her to commute to work by riding the train, what is the value of x?
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[Assistant] 10.5

[User]
what is the least common multiple of 5,40, 36,50
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[Assistant] 1800

[User]
the sale price of a trolley bag including the sale tax is rs. 280. the rate of sale tax is 12 %. if the shopkeeper has made a profit of 25 %, the cost price of the trolley bag is :
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[Assistant] rs 200

[User]
the difference between c. i. and s. i. on an amount of rs. 15,000 for 2 years is rs. 150. what is the rate of interest per annum?
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[Assistant] 10


[User]
in a class of 40 students, 5 students did not borrow any books from the library, 15 students each borrowed 1 book, 10 students each borrowed 2 books, and the rest of the students each borrowed at least 3 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] 18

[User]
working together, printer a and printer b would finish the task in 24 minutes. printer a alone would finish the task in 60 minutes. how many pages does the task contain if printer b prints 7 pages a minute more than printer a?
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[Assistant] 840

[User]
the jogging track in a sports complex is 640 m in circumference. lata and geeta start from the same point and walk in opposite directions at 4.2 km / hr and 3.8 km / hr respectively. they will meet for the first time in?
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[Assistant] 4.8 min

[User]
village x has a population of 68000, which is decreasing at the rate of 1200 per year. village y has a population of 42000, which is increasing at the rate of 800 per year. in how many years will the population of the two villages be equal?
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[Assistant] 13

[User]
in a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. if pqrs = 2145, and if 1 < p < q < r < s, how many students in the class are marketing majors?
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[Assistant] 11


[User]
if a man lost 4 % by selling oranges at the rate of 16 a rupee at how many a rupee must he sell them to gain 28 %?
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[Assistant] 12

[User]
the population of a town increased from 1, 25,000 to 1, 50,000 in a decade. the average percent increase of population per year is :
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[Assistant] 2 %

[User]
40 persons like apple. 7 like orange and mango dislike apple. 10 like mango and apple and dislike orange. 6 like all. how many people like apple?
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[Assistant] 49

[User]
a man purchased 15 pens, 12 books, 10 pencils and 5 erasers. the cost of each pen is rs. 36, each book is rs. 45, each pencil is rs. 8, and the cost of each eraser is rs. 40 less than the combined costs of pen and pencil. find the total amount spent?
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[Assistant] 1180

[User]
john was 22 years old when he married betty. they just celebrated their fifth wedding anniversary, and betty's age is now 7 / 9 of john's. how old is betty?
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[Assistant] 21


[User]
the profit earned by selling an article for rs. 832 is equal to the loss incurred when the same article is sold for rs. 448. what should be the sale price for making 60 % profit?
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[Assistant] 1024

[User]
workers at a campaign office have 1000 fliers to send out. if they send out 1 / 5 of them in the morning and 1 / 4 of the remaining ones out during the afternoon, how many are left for the next day?
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[Assistant] 600

[User]
a cycle is bought for rs. 1000 and sold for rs. 1080, find the gain percent?
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[Assistant] 8

[User]
a corporation paid $ 7 million in federal taxes on its first $ 50 million of gross profits and then $ 30 million in federal taxes on the next $ 100 million in gross profits. by approximately what percent did the ratio of federal taxes to gross profits increase from the first $ 50 million in profits to the next $ 100 million in profits?
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[Assistant] 114 %

[User]
if x ^ 2 + ( 1 / x ^ 2 ) = 2, x ^ 4 + ( 1 / x ^ 4 ) =?
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[Assistant] 2


[User]
the ratio of two quantities is 5 : 8. if each of the quantities is increased by 10, what is the ratio of the new quantities?
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[Assistant] it can not be determined from the information given.

[User]
in the x - y plane, point ( x, y ) is a lattice point if both x and y are integers. a square has a center at ( 0, 0 ) and side = 4. some points, such as the center ( 0, 0 ), are inside the square, but a point such as ( 0, 2 ) is on the square but not in the square. how many lattice points are in the square?
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[Assistant] 9

[User]
a boy is travelling from his home to school at 5 km / hr and reached 5 min late. next day he travelled at 10 km / hr and reached 10 min early. distance between home and school?
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[Assistant] 2.5 km

[User]
a boat can travel with a speed of 16 km / hr in still water. if the rate of stream is 5 km / hr, then find the time taken by the boat to cover distance of 168 km downstream.
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[Assistant] 8 hours

[User]
a cube of side one meter length is cut into small cubes of side 10 cm each. how many such small cubes can be obtained?
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[Assistant] 1000


[User]
at what price must an book costing $ 47.50 be marked in order that after deducting 10 % from the list price. it may be sold at a profit of 25 % on the cost price?
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[Assistant] 65.9

[User]
a gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. if there are 8 rows or 6 rows or 4 rows, then no tree will be left. find the least number of trees required
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[Assistant] 24

[User]
if the sides of a triangle are 78 cm, 72 cm and 30 cm, what is its area?
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[Assistant] 1080 cm 2

[User]
if 60 % of a number is equal to one half of another number, what is the ratio of first number to the second number?
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[Assistant] 5 : 6

[User]
it takes avery 2 hours to build a brick wall while tom can do it in 5 hours. if the two start working together and after an hour avery leaves, how much time will it take tom to complete the wall on his own?
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[Assistant] 1 hour and 30 minutes


[User]
the radius of a wheel is 22.4 cm. what is the distance covered by the wheel in making 200 resolutions.
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[Assistant] 281.34 m

[User]
what is the value of 3 x ^ 2 − 1.8 x + 0.6 for x = 0.6?
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[Assistant] 0.6

[User]
mr. hernandez, who was a resident of state x for only 12 months last year, had a taxable income of $ 22,500 for the year. if the state tax rate were 4 percent of the year ’ s taxable income prorated for the proportion of the year during which the taxpayer was a resident, what would be the amount of mr. hernandez ’ s state x tax for last year?
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[Assistant] $ 900

[User]
the sum of digits of a two digit number is 12, the difference between the digits is 6. find the number
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[Assistant] 93

[User]
how many 4 - digit numbers can be formed from the digits 0,2, 3, 5, 6, 7 and 9, which are divisible by 5 and if the repetition is not allowed?
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[Assistant] 240


[User]
if 8 workers can build 8 cars in 8 days, then how many days would it take 7 workers to build 7 cars?
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[Assistant] 8

[User]
the circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 45 ft long. what is the distance traveled by the cart, when the front wheel has done five more revolutions than the rear wheel?
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[Assistant] 450 ft

[User]
a girl was asked to multiply a certain number by 43. she multiplied it by 34 and got his answer less than the correct one by 1242. find the number to be multiplied.
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[Assistant] 138

[User]
in an election, candidate a got 85 % of the total valid votes. if 15 % of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate.
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[Assistant] 404600

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


[User]
a retailer purchases shirts from a wholesaler and then sells the shirts in her store at a retail price that is 80 percent greater than the wholesale price. if the retailer decreases the retail price by 20 percent this will have the same effect as increasing the wholesale price by what percent?
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[Assistant] 44

[User]
the slant height of a cone is 22 cm and radius of the base is 7 cm, find the curved surface of the cone?
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[Assistant] 483

[User]
one night 40 percent of the female officers on a police force were on duty. if 240 officers were on duty that night and half of these were female officers, how many female officers were on the police force?
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[Assistant] 300

[User]
there are 4 red shoes & 6 green shoes. if two of red shoes are drawn what is the probability of getting red shoes
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[Assistant] 2 / 15

[User]
how much water should be added to 14 liters of a 20 % - solution of alcohol to reduce the concentration of alcohol in the solution by 75 %?
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[Assistant] 26 liters


[User]
a group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. they plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. if they will go up the mountain at a rate of 8 miles per day and it will take them two days, how many miles long is the route down the mountain?
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[Assistant] 24

[User]
what is the 20 th digit to the right of the decimal point in the decimal expansion of 1 / 37?
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[Assistant] 2

[User]
the banker's gain on a bill due due 1 year hence at 12 % per annum is rs. 6.6. the true discount is
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[Assistant] rs. 55

[User]
the average mark of the students of a class in a particular exam is 80. if 5 students whose average mark in that exam is 20 are excluded, the average mark of the remaining will be 92. find the number of students who wrote the exam.
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[Assistant] 30

[User]
if x is to be chosen at random from the integers between 1 to 6, inclusive, and y is to be chosen at random from the integers between 7 and 10, inclusive, what is the probability that x + y will be even?
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[Assistant] 1 / 2


[User]
the length of a rectangular plot is 10 mtr more than its width. the cost of fencing the plot along its perimeter at the rate of rs. 6.5 mtr is rs. 1170. the perimeter of the plot is?
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[Assistant] 180

[User]
there are two circles of different radii. the are of a square is 784 sq cm and its side is twice the radius of the larger circle. the radius of the larger circle is 7 - third that of the smaller circle. find the circumference of the smaller circle.
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[Assistant] 12 ∏ cm

[User]
the average of first four prime numbers greater than 30 is?
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[Assistant] 38

[User]
kim bought a total of $ 2.65 worth of postage stamps in 4 denominations. if she bought an equal number of 2 - cent and 20 - cent stamps and twice as many 10 - cent stamps as 5 - cent stamps, what is the least number of 1 - cent stamps she could have bought?
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[Assistant] 55

[User]
a and b put in rs. 200 and rs. 400 respectively into a business. a reinvests into the business his share of the first year's profit of rs. 210 where as b does not. in what ratio should they divide the second year's profit?
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[Assistant] 17 : 20


[User]
a train running at the speed of 60 km / hr crosses a pole in 9 seconds. find the length of the train.
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[Assistant] 150

[User]
a certain car can travel 40 minutes on a gallon of gasoline at 50 miles per hour. if the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph?
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[Assistant] 20 %

[User]
the average weight of 8 students decreases by 5 kg when one of them weighing 86 kg is replaced by a new student. the weight of the student is
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[Assistant] 46 kg

[User]
a football team lost 5 yards and then gained 8. what is the team's progress?
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[Assistant] 3

[User]
a and b go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 60 kmph. after how much time will they meet for the first time at the starting point?
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[Assistant] 180 sec


[User]
divide rs. 1500 among a, b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together. a's share is?
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[Assistant] 375

[User]
80 % of the population of a village is 23040. the total population of the village is?
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[Assistant] 28800

[User]
a, b and c completed a piece of work, a worked for 6 days, b for 9 days and c for 4 days. their daily wages were in the ratio of 3 : 4 : 5. find the daily wages of c, if their total earning was rs. 1702?
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[Assistant] s. 115

[User]
a hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 18 kilometers per hour. the cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate. how many minutes must the cyclist wait until the hiker catches up?
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[Assistant] 17.5

[User]
at 1 : 00 pm, a truck left city p and headed toward city q at a constant speed of 45 km / h. one hour later, a car left city q and headed toward city p along the same road at a constant speed of 40 km / h. if the distance between city p and city q is 300 km, at what time will the truck and the car meet each other?
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[Assistant] 5 : 00


[User]
two cars are driving toward each other. the first car is traveling at a speed of 75 km / h, which is 25 % slower than the second car's speed. if the distance between the cars is 1050 km, how many hours will it take until the two cars meet?
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[Assistant] 6

[User]
an industrial loom weaves 0.128 metres of cloth every second. approximately, how many seconds will it take for the loom to weave 26 metre of cloth?
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[Assistant] 203 seconds

[User]
in a class of 38 students 26 play football and play 20 long tennis, if 17 play above, many play neither?
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[Assistant] 9

[User]
if the diameter of circle r is 80 % of the diameter of circle s, the area of circle r is what percent of the area of circle s?
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[Assistant] 64 %

[User]
find the perimeter and area of a square of side 9 cm.
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[Assistant] 81


[User]
the ratio of the volumes of two cubes is 9261 : 12167. what is the ratio of their total surface areas?
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[Assistant] 53 : 58

[User]
a and b together can do a work in 3 days. if a alone can do it in 12 days. in how many days can b alone do it?
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[Assistant] 4

[User]
solution x is 10 percent alcohol by volume, and solution y is 30 percent alcohol by volume. how many milliliters of solution y must be added to 300 milliliters of solution x to create a solution that is 18 percent alcohol by volume?
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[Assistant] 200

[User]
if 125 % of j is equal to 25 % of k, 150 % of k is equal to 50 % of l, and 175 % of l is equal to 75 % of m, then 20 % of m is equal to what percent of 100 % of j?
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[Assistant] 700

[User]
if p is a prime number greater than 5, what is the remainder when p ^ 2 is divided by 6.
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[Assistant] 1


[User]
a sum of rs. 2200 has been divided among a, b and c such that a gets 1 / 4 of what b gets and b gets 1 / 5 of what c gets. what is b's share?
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[Assistant] 352

[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 4 receives how many more dollars per hour than an employee with a salary grade of 1?
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[Assistant] $ 0.75

[User]
the price of a t. v. set worth rs. 8000 is to be paid in 20 installments of rs. 750 each. if the rate of interest be 6 % per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
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[Assistant] 7250

[User]
in an examination, 40 % of total students failed in hindi, 40 % failed in english and 15 % in both. the percentage of these who passed in both the subjects is :
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[Assistant] 30 %

[User]
if the annual increase in the population of a town is 10 % and the present number of people is 13000, what will the population be in 2 years?
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[Assistant] 15730


[User]
find the compound interest on $ 46,000 at 20 % per annum for 9 months, compounded quarterly
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[Assistant] 7250.75

[User]
lagaan is levied on the 60 percent of the cultivated land. the revenue department collected total rs. 3, 44000 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] 0.23255

[User]
how many positive integer solutions does the equation 5 x + 10 y = 100 have?
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[Assistant] 2

[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 3025 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] 220

[User]
what is the difference between the ci on rs. 5000 for 1 years at 4 % per annum ci yearly and half yearly?
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[Assistant] rs. 2.04


[User]
if 183 is divisible by 11, find the value of the smallest natural no. n?
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[Assistant] 7

[User]
joshua and jose work at an auto repair center with 3 other workers. for a survey on health care insurance, 2 of the 6 workers will be randomly chosen to be interviewed. what is the probability that joshua and jose will both be chosen?
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[Assistant] 1 / 10

[User]
a can do a piece of work in 40 days ; b can do the same in 40 days. a started alone but left the work after 10 days, then b worked at it for 10 days. c finished the remaining work in 10 days. c alone can do the whole work in?
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[Assistant] 20 days

[User]
in a 280 meters race a beats b by 56 m or 7 seconds. a's time over the course is :
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[Assistant] 28 seconds

[User]
in smithtown, the ratio of right - handed people to left - handed people is 3 to 1 and the ratio of men to women is 3 to 2. if the number of right - handed men is maximized, then what z percent of all the people in smithtown are left - handed women?
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[Assistant] 25 %


[User]
in a kilometer race, a beats b by 80 meters or 10 seconds. what time does a take to complete the race?
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[Assistant] 115 sec

[User]
if n is the smallest integer such that 144 times n is the square of an integer, what is the value of n?
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[Assistant] 2

[User]
claire has a total of 86 pets consisting of gerbils and hamsters only. one - quarter of the gerbils are male, and one - third of the hamsters are male. if there are 25 males altogether, how many gerbils does claire have?
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[Assistant] 54

[User]
jackie has two solutions that are 4 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. if these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid, approximately how many liters of the 12 percent solution will be required?
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[Assistant] 33.75

[User]
it is currently 8 : 34 pm. at what time in the morning was it exactly 39,668 minutes ago?
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[Assistant] 7 : 26


[User]
a palindrome is a number that reads the same forward and backward. for example. 2442 and 111 are palindromes. if 5 - digit palindromes are formed using one or more of the digits, 1, 2, 3, how many such palindromes are possible?
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[Assistant] 27

[User]
a train 125 m long passes a man, running at 20 km / hr in the same direction in which the train is going, in 10 seconds. the speed of the train is?
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[Assistant] 65

[User]
if 20 % of ( x - y ) = 14 % of ( x + y ), then what percent of x is y?
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[Assistant] 17.6 %

[User]
if rs. 510 be divided among a, b, c in such a way that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets, then their shares are respectively :
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[Assistant] rs. 360

[User]
an order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. find the ratio of the areas of the carpets in both the cases.
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[Assistant] 8 : 7


[User]
if a computer program generates 3 - digit odd numbers using the numbers 9, 7, 0, 8, and 1, and the digits can be repeated, what is the probability that the number formed from the program is a multiple of 3?
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[Assistant] 1 / 3

[User]
how many pounds of salt at 70 cents / lb must be mixed with 45 lbs of salt that costs 40 cents / lb so that a merchant will get 20 % profit by selling the mixture at 48 cents / lb?
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[Assistant] 9

[User]
the length of a side of a hexagon is 5 inches. what is the perimeter?
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[Assistant] 30

[User]
one fourth of a solution that was 12 % salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. the second solution was what percent salt by weight?
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[Assistant] 28 %

[User]
a house wife saved $ 4 in buying an item on sale. if she spent $ 28 for the item, approximately how much percent she saved in the transaction?
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[Assistant] 13 %


[User]
what is rate of interest if principal. amount be 400, simple interest 100 and time 2 year.
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[Assistant] 12.5

[User]
harold works at a resort from the beginning of march to the end of september. during the month of august this past year, he made 4 times the average ( arithmetic mean ) of his monthly totals in tips for the other months. his total tips for august were what fraction of his total tips for all of the months he worked?
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[Assistant] 2 / 5

[User]
a train covers a distance of 12 km in 10 minutes. if it takes 7 seconds to pass a telegraph post, then the length of the train is
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[Assistant] 140 m

[User]
the ratio of the volumes of two cubes is 6859 : 1331. what is the ratio of their total surface areas?
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[Assistant] 12 : 7

[User]
if a lends rs. 3500 to b at 10 % per annum and b lends the same sum to c at 14 % per annum then the gain of b in a period of 3 years is?
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[Assistant] 420


[User]
a take twice as much time as b or thrice as much time to finish a piece of work. working together, they can finish the work in 6 days. b can do the work alone in?
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[Assistant] 36

[User]
a train running at a speed of 36 km / h passes an electric pole in 14 seconds. in how many seconds will the whole train pass a 350 - meter long platform?
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[Assistant] 49

[User]
mr. john used to purchase certain number of mangoes for $ 360 since the price of mangoes is reduced by 10 % he got 12 more mangoes today. find the original price of 110 mangoes.
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[Assistant] 367

[User]
there are two numbers. if 20 % of the first number is added to the second number, then the second number increases to its 5 - fourth. what is the ratio of the first number to the second number?
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[Assistant] 5 : 4

[User]
a train is 560 meter long is running at a speed of 45 km / hour. in what time will it pass a bridge of 140 meter length?
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[Assistant] 56 seconds


[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 1600 sq. units. what is the area ( in sq. units ) of the rectangle if the rectangle if the breadth is 10 units?
Answer the question using a single word or phrase.

[Assistant] 160

[User]
the average age of 28 students in a group is 11 years. when teacher ’ s age is included to it, the average increases by one. what is the teacher ’ s age in years?
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[Assistant] 40

[User]
a man can row his boat with the stream at 10 km / h and against the stream in 6 km / h. the man's rate is?
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[Assistant] 2 kmph

[User]
if the product of 12 integers is negative, at most how many of the integers can be negative?
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[Assistant] 11

[User]
a number is said to be prime saturated if the product of all the different positive prime factors of d is less than the square root of d. what is the greatest two digit prime saturated integer?
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[Assistant] 96


[User]
the distance from steve's house to work is 28 km. on the way back steve drives twice as fast as he did on the way to work. altogether, steve is spending 6 hours a day on the roads. what is steve's speed on the way back from work?
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[Assistant] 14.

[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 – 2 ). an employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1?
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[Assistant] $ 1.75

[User]
there are 20 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] 190

[User]
p is 40 % more efficient than q. p can complete a work in 24 days. if p and q work together, how many days will it take to complete the same work?
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[Assistant] 14

[User]
if a person walks at 14 km / hr instead of 10 km / hr, he would have walked 20 km more. the actual distance travelled by him is :
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[Assistant] 50 km


[User]
( 422 + 404 ) 2 − ( 4 × 422 × 404 ) =?
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[Assistant] 324

[User]
the length of the rectangular field is double its width. inside the field there is square shaped pond 8 m long. if the area of the pond is 1 / 98 of the area of the field. what is the length of the field?
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[Assistant] 112

[User]
there are 50 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] 1225

[User]
an amount of rs. 100000 is invested in two types of shares. the first yields an interest of 9 % p. a and the second, 11 % p. a. if the total interest at the end of one year is 9 1 / 4 %, then the amount invested at 11 % was?
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[Assistant] 12500

[User]
a and b can do a piece of work in 10 days, b and c in 5 days, c and a in 15 days. how long will c take to do it?
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[Assistant] 12 days


[User]
when 1 / 10 percent of 1,000 is subtracted from 1 / 10 of 1,000, the difference is
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[Assistant] 99

[User]
if a, b, c, d, e and f are integers and ( ab + cdef ) < 0, then what is the maximum number e of integers that can be negative?
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[Assistant] 5

[User]
convert 1.3 hectares in ares
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[Assistant] 130 ares.

[User]
on a certain road, 10 % of the motorists exceed the posted speed limit and receive speeding tickets, but 40 % of the motorists who exceed the posted speed limit do not receive speeding tickets. what percent of the motorists on that road exceed the posted speed limit?
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[Assistant] 16.7 %

[User]
there is 60 lit of milk and water in which milk forms 84 %. howmuch water must be added to this solution to make it solution in which milk forms 54 %
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[Assistant] 33


[User]
a certain bus driver is paid a regular rate of $ 14 per hour for any number of hours that does not exceed 40 hours per week. for any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75 % higher than his regular rate. if last week the bus driver earned $ 998 in total compensation, how many total hours did he work that week?
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[Assistant] 58

[User]
when n is divided by 24, the remainder is 6. what is the remainder when 3 n is divided by 8?
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[Assistant] 2

[User]
a certain debt will be paid in 40 installments from january 1 to december 31 of a certain year. each of the first 20 payments is to be $ 410 ; each of the remaining payments is to be $ 65 more than each of the first 20 payments. what is the average ( arithmetic mean ) payment that will be made on the debt for the year?
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[Assistant] 442.5

[User]
a shopkeeper buys two articles for rs. 1000 each and then sells them, making 20 % profit on the first article and 20 % loss on second article. find the net profit or loss percent?
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[Assistant] 200

[User]
20 men do a work in 20 days. how many men are needed to finish the work in 4 days?
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[Assistant] 100


[User]
the cost of 20 articles is equal to selling price of 10. find the gain or loss percent?
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[Assistant] 100 %

[User]
a man owns 2 / 3 of market reserch beauro buzness, and sells 3 / 4 of his shares for 6500 rs, what is the value of buzness?
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[Assistant] 13000

[User]
johnny makes $ 7.35 per hour at his work. if he works 6 hours, how much money will he earn?
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[Assistant] $ 48.32

[User]
find the 25 % of rs. 200.
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[Assistant] rs. 50

[User]
what is the least common multiple of 15, 16, and 24?
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[Assistant] 240


[User]
how many integers from 101 to 800, inclusive, remains the value unchanged when the digits were reversed?
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[Assistant] 70

[User]
a bowl of fruit contains 14 apples and 25 oranges. how many oranges must be removed so that 70 % of the pieces of fruit in the bowl will be apples?
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[Assistant] 19

[User]
on july 1 of last year, total employees at company e was decreased by 10 percent. without any change in the salaries of the remaining employees, the average ( arithmetic mean ) employee salary was 10 percent more after the decrease in the number of employees than before the decrease. the total of the combined salaries of all the employees at company e after july 1 last year was what percent r of thatbeforejuly 1 last year?
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[Assistant] 99 %

[User]
3 friends a, b, c went for week end party to mcdonald ’ s restaurant and there they measure there weights in some order in 7 rounds. a, b, c, ab, bc, ac, abc. final round measure is 140 kg then find the average weight of all the 7 rounds?
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[Assistant] 80 kgs

[User]
the ratio of the volumes of two cubes is 8 : 27 what is the ratio of their total surface areas?
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[Assistant] 4 : 9


[User]
what is the greatest of 3 consecutive integers whose sum is 21?
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[Assistant] 8

[User]
the measure of the side of a square is multiplied by 6. if x represents the perimeter of the original square, what is the value of the new perimeter?
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[Assistant] 6 x

[User]
x starts a business with rs. 45000. y joins in the business after 3 months with rs. 24000. what will be the ratio in which they should share the profit at the end of the year?
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[Assistant] 5 : 2

[User]
if a and b get profits of rs. 4,000 and rs. 2,000 respectively at the end of year then ratio of their investments are
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[Assistant] 2 : 1

[User]
a certain social security recipient will receive an annual benefit of $ 12,000 provided he has annual earnings of $ 9,360 or less, but the benefit will be reduced by $ 1 for every $ 3 of annual earnings over $ 9,360. what amount of total annual earnings would result in a 45 percent reduction in the recipient's annual social security benefit? ( assume social security benefits are not counted as part of annual earnings. )
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[Assistant] $ 29,160


[User]
speed of a boat in standing water is 8 kmph and the speed of the stream is 2 kmph. a man rows to place at a distance of 210 km and comes back to the starting point. the total time taken by him is :
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[Assistant] 56 hours

[User]
find the annual income derived by investing $ 6800 in 20 % stock at 136.
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[Assistant] 1000

[User]
if x = - 12 / 5 and y = - 6 / 7, what is the value of the expression - 2 x – y ^ 2?
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[Assistant] 636 / 735

[User]
a man can row his boat with the stream at 16 km / h and against the stream in 6 km / h. the man's rate is?
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[Assistant] 5 kmph

[User]
if the compound interest on a certain sum of money for 4 years at 10 % per annum be rs. 993, what would be the simple interest?
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[Assistant] rs. 1200