[User]
on a map, 2.5 inches represent 40 miles. how many miles approximately is the distance if you measured 155 centimeters assuming that 1 - inch is 2.54 centimeters?
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[Assistant] 976.4

[User]
the average weight of 20 persons sitting in a boat had some value. a new person added to them whose weight was 48 kg only. due to his arrival, the average weight of all the persons decreased by 5 kg. find the average weight of first 20 persons?
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[Assistant] 57

[User]
if two integers x, y ( x > y ) are selected from - 4 to 4 ( inclusive ), how many cases are there?
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[Assistant] 36

[User]
a man is 24 years older than his son. in four years, his age will be twice the age of his son. the present age of the son is
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[Assistant] 20 years

[User]
a car is purchased on hire - purchase. the cash price is $ 23 000 and the terms are a deposit of 10 % of the price, then the balance to be paid off over 60 equal monthly instalments. interest is charged at 12 % p. a. what is the monthly instalment?
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[Assistant] $ 552


[User]
on the number line, if x is halfway between - 8 and 4, and if y is halfway between - 2 and 6, what number is halfway between x and y?
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[Assistant] 0

[User]
a survey was sent to 90 customers, 15 of whom responded. then the survey was redesigned and sent to another 50 customers, 9 of whom responded. by approximately what percent did the response rate increase from the original survey to the redesigned survey?
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[Assistant] 8 %

[User]
company kw is being sold, and both company a and company b were considering the purchase. the price of company kw is 50 % more than company a has in assets, and this same price is also 100 % more than company b has in assets. if companies a and b were to merge and combine their assets, the price of company kw would be approximately what percent of these combined assets?
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[Assistant] 86 %

[User]
a rectangular field is to be fenced on three sides leaving a side of 80 feet uncovered. if the area of the field is 680 sq. ft, how many feet of fencing will be required?
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[Assistant] 97 ft

[User]
rs. 120 are divided among a, b, c such that a's share is rs. 20 more than b's and rs. 20 less than c's. what is b's share
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[Assistant] rs 20


[User]
a certain meter records voltage between 0 and 10 volts inclusive. if the average value of 3 recordings on the meter was 5 volts, what was the smallest possible recording in volts?
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[Assistant] 3

[User]
the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 10. if p invested the money for 10 months, find for how much time did q invest the money?
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[Assistant] 20

[User]
a jar full of whisky contains 40 % alcohol. a part of this whisky is replaced by another containg 19 % alcohol and now the percentage of alcohol was found to be 25 %. what quantity of whisky is replaced?
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[Assistant] 2 / 5

[User]
if x is an integer such that 0 < x < 12, 1 < x < 15, 10 > x > 5, 11 > x > 8, and x + 2 < 12, then x is
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[Assistant] 9

[User]
a sum of money lent out at s. i. amounts to rs. 660 after 2 years and to rs. 1020 after a further period of 5 years. the sum is?
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[Assistant] s. 516


[User]
what number has a 5 : 1 ratio to the number 8?
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[Assistant] 40

[User]
for an agricultural experiment, 500 seeds were planted in one plot and 200 were planted in a second plot. if exactly 30 percent of the seeds in the first plot germinated and exactly 50 percent of the seeds in the second plot germinated, what percent of the total number of seeds germinated?
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[Assistant] 35.7 %

[User]
what is the total number of prime numbers less than 70?
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[Assistant] 19

[User]
3 / 5 of all married couples have more than one child. 1 / 2 of all married couples have more than 3 children. what fraction of all married couples have 2 or 3 children?
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[Assistant] 1 / 10

[User]
at a special sale, 6 tickets can be purchased for the price of 3 tickets. if 6 tickets are purchased at the sale, the amount saved will be what percent of the original price of the 6 tickets?
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[Assistant] 50 %


[User]
a 4 - digit code can consist of the digits 0 ~ 9 except that it does not contain the digits 1, 2, 4, and 6 at all. if repeated digits are allowed, what is the probability that it has at least one even digit?
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[Assistant] 65 / 81

[User]
by selling an article at rs. 800, a shopkeeper makes a profit of 25 %. at what price should he sell the article so as to make a loss of 15 %?
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[Assistant] 544

[User]
the speed of a train is 120 kmph. what is the distance covered by it in 10 minutes?
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[Assistant] 20 kmph

[User]
from a total of 4 boys and 4 girls, how many 4 - person committees can be selected if the committee must have exactly 2 boys and 2 girls?
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[Assistant] 36

[User]
if an article is sold at 20 % profit instead of 14 % profit, then the profit would be rs. 180 more. what is the cost price?
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[Assistant] rs. 3000


[User]
if 3 x + 4 y = 60 and 6 x - 4 y = 12, what is the product of x and y?
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[Assistant] 72

[User]
a seller of used cars has 18 cars to sell and each of his clients selected 3 cars that he liked most. if each car was selected exactly thrice, how many clients visited the garage?
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[Assistant] 18

[User]
what percent of 120 are 90?
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[Assistant] 75 %

[User]
vijay sells a cupboard at 12 % below cost price. had he got rs. 1650 more, he would have made a profit of 12 %. what is the cost price of the cupboard?
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[Assistant] 6875

[User]
a hostel had provisions for 250 men for 48 days. if 50 men left the hostel, how long will the food last at the same rate?
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[Assistant] 60


[User]
8 identical machines, working alone and at their constant rates, take 6 hours to complete a job lot. how long would it take for 12 such machines to perform the same job?
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[Assistant] 4 hours

[User]
if a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster, he would have covered 70 more miles than he actually did. how many more miles would he have covered than he actually did if he had driven 1 hours longer and at an average rate of 10 miles per hour faster on that day?
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[Assistant] 130

[User]
if a 5 percent deposit that has been paid toward the purchase of a certain product is $ 50, how much more remains to be paid?
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[Assistant] $ 950

[User]
john buys good worth rs. 6650. he gets a rebate of 6 % on it. after getting the rebate, he pays sales tax @ 10 %. find the amount he will have to pay for the goods.
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[Assistant] rs. 6876.10

[User]
the ratio of the adjacent angles of a parallelogram is 4 : 11. also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. what is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral?
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[Assistant] 132 °


[User]
one pipe can fill a tank three times as fast as another pipe. if together the two pipes can fill tank in 38 min, then the slower pipe alone will be able to fill the tank in?
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[Assistant] 152

[User]
a circular dartboard of radius 1 foot is at a distance of 20 feet from you. you throw a dart at it and it hits the dartboard at some point q in the circle. what is the probability that q is closer to the center of the circle than the periphery?
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[Assistant] 0.25

[User]
a factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, 20 balls per box. if 76 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed?
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[Assistant] 1

[User]
a, b and c have rs. 700 between them, a and c together have rs. 300 and b and c rs. 600. how much does c have?
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[Assistant] 200

[User]
a and b together can do a work in 7 days. if a alone can do it in 14 days. in how many days can b alone do it?
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[Assistant] 14


[User]
a and b start walking towards each other at 7 am at speed of 12 kmph and 13 kmph. they were initially 25 km apart. at what time do they meet?
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[Assistant] 8 am

[User]
find the lowest common multiple of 24, 36 and 42.
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[Assistant] 504

[User]
if a / b = 1 / 7, b / c = 3, c / d = 2 / 3, d / e = 2 and e / f = 1 / 2, then what is the value of abc / def?
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[Assistant] 16 / 21

[User]
what is the least value of x. so that 43 x 87 is divisible by 3?
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[Assistant] 2

[User]
if shares of two persons in profits are rs. 800 and rs. 600 then ratio of their capitals is
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[Assistant] 4 : 3


[User]
if 7 / 10 of a pencil is green, 4 / 5 of the remaining is gold and the remaining 1 / 2 is white, what is the total length of the pencil?
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[Assistant] 2

[User]
what is the smallest no. that should be added to 41381 to make it exactly divisible by 9?
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[Assistant] 1

[User]
a takes twice as much time as b & c takes thrice as much time as b to finish a piece of work. working together they can finish the work in 18 days. the no. of days need for b to do the work alone is?
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[Assistant] 33 days

[User]
a man can row his boat with the stream at 20 km / h and against the stream in 8 km / h. the man's rate is?
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[Assistant] 6 kmph

[User]
what will be the compound interest on rs. 25000 after 3 years at the rate of 12 % per annum
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[Assistant] rs 10123.20


[User]
a certain airline's fleet consisted of 70 type a planes at the beginning of 1980. at the end of each year, starting with 1980, the airline retired 3 of the type a planes and acquired 4 new type b plans. how many years did it take before the number of type a planes left in the airline's fleet was less than 50 percent of the fleet?
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[Assistant] 11

[User]
a man buys rs. 60 shares paying 9 % dividend. the man wants to have an interest of 12 % on his money. the market value of each share is :
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[Assistant] s. 45

[User]
a number of 53 marbles is to be divided and contain with boxes. if each box is to contain 3, 4, or 5 marbles, what is the largest possible number of boxes?
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[Assistant] 17

[User]
the rhombus ( afce ) is inscribed in rectangle ( abcd ). the length of bf = de. if the rectangle has a width of 20 yards and a length of 25 yards, what would be the total length ( the perimeter ) of a fence along the sides defined by afce?
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[Assistant] 82 yards

[User]
on the first of the year, james invested x dollars at proudstar bank in an account that yields 2.4 % in interest every quarter year. at the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. if james had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for james to have y dollars at the end of the year?
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[Assistant] 10 %


[User]
a can do a piece of work 60 days. b can do work in 20 days. in how many days they will complete the work together?
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[Assistant] 15 days

[User]
if there are 10 apples and 20 oranges, what is the ratio of apples to oranges?
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[Assistant] 1 : 2

[User]
the average salary of a person for the months of january, february, march and april is rs. 8000 and that for the months february, march, april and may is rs. 9500. if his salary for the month of may is rs. 6500, find his salary for the month of january?
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[Assistant] rs. 500

[User]
what two - digit number is less than the sum of the square of its digits by 10 and exceeds their doubled product by 5?
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[Assistant] 94

[User]
last week david spent 20 percent of his wages on recreation. this week, his wages are 30 percent less than last week ʼ s wages and he spent 20 percent of his wages on recreation. the amount he spends on recreation this week is what percent of the amount he spent on recreation last week
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[Assistant] 70 %


[User]
in an election only two candidates contested. a candidate secured 70 % of the valid votes and won by a majority of 180 votes. find the total number of valid votes?
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[Assistant] 450

[User]
in a can, there is a mixture of milk and water in the ratio 4 : 3. if the can is filled with an additional 10 liters of milk, the can would be full and the ratio of milk and water would become 5 : 2. find the capacity of the can?
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[Assistant] 30

[User]
a car runs at the speed of 55 km per hour when not serviced and runs at 90 kmph when serviced. after servicing the car covers a certain distance in 3 hours. how much time will the car take to cover the same distance when not serviced?
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[Assistant] 6 hours

[User]
the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. if the speed of the boat in still water is 24 kmph, find the speed of the stream?
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[Assistant] 8 kmph

[User]
a began business with rs. 27000 and was joined afterwards by b with rs. 36000. when did b join if the profits at the end of the year were divided in the ratio of 2 : 1?
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[Assistant] 7.5


[User]
if 7 ^ k + 7 ^ k = ( 7 ^ 9 ) ^ ( 7 ^ 9 ) - 7 ^ k, then k =?
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[Assistant] 7 ^ 11 - 1

[User]
find the probability in a group of 10 students sitting in a row, two of them always sit next to each other
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[Assistant] 0.2

[User]
a student got 74 % in math and 81 % in history. to get an overall average of 75 %, how much should the student get in the third subject?
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[Assistant] 70 %

[User]
a leak in the bottom of a tank can empty the full tank in 3 hours. an inlet pipe fills water at the rate of 6 litres a minute. when the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. how many litres does the cistern hold?
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[Assistant] 1440

[User]
the ratio of 2 numbers is 4 : 6 and their h. c. f. is 8. their l. c. m. is?
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[Assistant] 96


[User]
when positive integer n is divided by 4, the remainder is 1. when n is divided by 7, the remainder is 5. what is the smallest positive integer p, such that ( n + p ) is a multiple of 35?
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[Assistant] 2

[User]
sam invested rs. 12000 @ 10 % per annum for one year. if the interest is compounded half - yearly, then the amount received by sam at the end of the year will be?
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[Assistant] 13230.0

[User]
john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price. if the final price was $ 18, what was the price before the first discount?
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[Assistant] $ 32

[User]
the jogging track in a sports complex is 1000 meters in circumference. deepak and his wife start from the same point and walk in opposite directions at 20 km / hr and 16 km / hr respectively. they will meet for the first time in?
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[Assistant] 36 min

[User]
a cube of edge 5 cm is immersed completely in a rectangular vessel containing water. if the dimensions of the base of vessel are 10 cm * 5 cm, find the rise in water level?
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[Assistant] 2.5 cm


[User]
two brother x and y appeared for an exam. the probability of selection of x is 1 / 3 and that of b is 2 / 5. find the probability that both of them are selected.
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[Assistant] 2 / 15

[User]
4 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. the ratio between the efficiencies of a man and boy is?
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[Assistant] 18 : 19

[User]
a boatman trying to cross the river. the width of the river is 400 m. he is selling boat with 10 m / sec. he takes 50 sec to cross the river due to flow of water. calculate the drift.
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[Assistant] 300

[User]
the volume of a certain substance is always directly proportional to its weight. if 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 60 ounces of this substance?
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[Assistant] 25

[User]
the average speed of a train is 87 kmph. the train was scheduled to start at 9 am in bangalore, and as per schedule it has to reach a destination of 348 km away from bangalore at 1 : 45 pm same day and a halt was scheduled onthe way. for how long was the halt scheduled?
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[Assistant] 45 minutes


[User]
the height of the wall is 4 times its width and length of the wall is 3 times its height. if the volume of the wall be 10368 cu. m. its width is
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[Assistant] 6 m

[User]
a courtyard is 24 meter long and 14 meter board is to be paved with bricks of dimensions 25 cm by 15 cm. the total number of bricks required is :
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[Assistant] 8960

[User]
rajan and rakesh started a business and invested rs. 20,000 and rs. 25,000 respectively. after 4 months rakesh left and mukesh joined by investing rs. 15,000. at the end of the year there was a profit of rs. 4,600. what is the share of rajan?
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[Assistant] 2400

[User]
when a = x + ( 3 / x ) and b = x - ( 3 / x ), ( 2 ^ a ^ 2 ) / ( 2 ^ b ^ 2 ) =?
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[Assistant] 4096

[User]
20 % of major airline companies equip their planes with wireless internet access. 70 % of major airlines offer passengers free on - board snacks. what is the greatest possible percentage of major airline companies that offer both wireless internet and free on - board snacks?
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[Assistant] 20 %


[User]
in how many seconds will a train 180 meters long pass an oak tree, if the speed of the train is 54 km / hr?
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[Assistant] 12

[User]
if 20 typists can type 40 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] 180

[User]
there are 4 people who has to cross a stretch of 300 km. they normally run at a speed of 10 kmph. one of them has a bike that travels at 50 kmph. the bike first takes one person alone and crosses the stretch while the other two keep running. then he comes back without wasting time and picks up another person from the way, drives him across the stretch, and does the same for the last person. how long does this whole process take?
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[Assistant] 58 / 3 hrs

[User]
a courtyard is 18 meter long and 12 meter board is to be paved with bricks of dimensions 15 cm by 13 cm. the total number of bricks required is :
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[Assistant] 11076

[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?
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[Assistant] 8 : 7


[User]
80 % of a number is added to 20, the result is the same number. find the number?
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[Assistant] 100

[User]
a dishonest dealer professes to sell goods at the cost price but uses a weight of 780 grams per kg, what is his percent?
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[Assistant] 28.2 %

[User]
angelina walked 840 meters from her home to the grocery at a constant speed. she then walked 480 meters to the gym at double the speed. she spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. what was angelina's speed, in meters per second, from the grocery to the gym?
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[Assistant] 30

[User]
john makes $ 60 a week from his job. he earns a raise andnow makes $ 70 a week. what is the % increase?
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[Assistant] 16.66 %

[User]
a farmer used 1,034 acres of land for beans, wheat, and corn in the ratio of 5 : 2 : 4, respectively. how many e acres were used for corn?
Answer the question using a single word or phrase.

[Assistant] 376


[User]
at an elementary school, 70 % of the faculty members are women and 60 % of the faculty members are married. if 2 ⁄ 3 of the men are single, what fraction of the men are married?
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[Assistant] 1 ⁄ 3

[User]
when n is divided by 24, the remainder is 5. what is the remainder when 4 n is divided by 8?
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[Assistant] 4

[User]
question : a sporting good store sells one type of baseball bat and one type of baseball. the cost for 2 bats and 4 balls is $ 180. the cost for 1 bat and 6 balls is $ 190, as well. if someone were to buy an equal number of bats and balls, at most how many bats can he purchase if he has a budget of $ 195 for the purchase? options :
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[Assistant] 3

[User]
a train 400 m long is running at a speed of 78 km / hr. if it crosses a tunnel in 1 min, then the length of the tunnel is?
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[Assistant] 900 m

[User]
ramu bought an old car for rs. 42000. he spent rs. 8000 on repairs and sold it for rs. 64900. what is his profit percent?
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[Assistant] 29.8 %


[User]
line q has the equation 5 y – 3 x = 15. if line s is perpendicular to q, has an integer for its y - intercept, and intersects q in the second quadrant, then how many possible line s ’ s exist? ( note : intersections on one of the axes do not count. )
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[Assistant] 11

[User]
mr. kramer, the losing candidate in a two - candidate election, received 942,568 votes, which was exactly 35 percent of all votes cast. approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast?
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[Assistant] 23 %

[User]
find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 5 cm?
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[Assistant] 95 cm 2

[User]
a family pays $ 900 per year for an insurance plan that pays 80 percent of the first $ 1,000 in expenses and 100 percent of all medical expenses thereafter. in any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total.
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[Assistant] $ 1,300

[User]
at 1 : 00 pm, there were 10.0 grams of bacteria. the bacteria increased to x grams at 4 : 00 pm, and 28.9 grams at 7 : 00 pm. if the amount of bacteria present increased by the same fraction during each of the 3 - hour periods, how many grams of bacteria were present at 4 : 00 pm?
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[Assistant] 17.0


[User]
rahul played weel in this season. his current batting averagge is 53. if he score 78 runs in today match. his batting average will become 58. how many matches had he played in this season.
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[Assistant] 4

[User]
33 1 / 3 % of 390?
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[Assistant] 130

[User]
sale of rs 6835, rs. 9927, rs. 6855, rs. 7230 and rs. 6562 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs, 6600?
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[Assistant] 5591

[User]
a man's regular pay is $ 3 per hour up to 40 hours. overtime is twice the payment for regular time. if he was paid $ 186, how many hours overtime did he work?
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[Assistant] 11

[User]
6 workers should finish a job in 8 days. after 3 days came 4 workers join them. how many days c do they need to finish the same job?
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[Assistant] 3


[User]
a man can row 9 kmph in still water. when the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. what is the total distance traveled by the man?
Answer the question using a single word or phrase.

[Assistant] 9.06

[User]
jacob is 12 years old. he is 4 times as old as his brother. how old will jacob be when he is twice as old?
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[Assistant] 18

[User]
a type q machine can complete a job in 5 hours and a type b machine can complete the job in 7 hours. how many hours will it take 2 type q machines and 3 type b machines working together and independently to complete the job?
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[Assistant] 35 / 29

[User]
a fellow borrowed a certain sum of money at 3 % per annum at simple interest and in 3 years the interest amounted to rs. 1820 less than the sum lent. what was the sum lent?
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[Assistant] 2000

[User]
a sum amounts to rs. 3969 in 2 years at the rate of 5 % p. a. if interest was compounded yearly then what was the principal?
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[Assistant] s. 3600


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

[User]
how many pieces of 85 cm length can be cut from a rod of 38.25 meters long?
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[Assistant] 45

[User]
gretzky street begins at orr street and runs directly east for 5.6 kilometers until it ends when it meets howe street. gretzky street is intersected every 350 meters by a perpendicular street, and each of those streets other than orr street and howe street is given a number beginning at 1 st street ( one block east of orr street ) and continuing consecutively ( 2 nd street, 3 rd street, etc... ) until the highest - numbered street one block west of howe street. what is the highest - numbered street that intersects gretzky street?
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[Assistant] 15 th

[User]
the average weight of 19 students is 15 kg. by the admission of a new student the average weight is reduced to 14.9 kg. the weight of the new student is?
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[Assistant] 13 kg

[User]
the difference between a two - digit number and the number obtained by interchanging the digits is 36. what is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2?
Answer the question using a single word or phrase.

[Assistant] 8


[User]
excluding stoppages, the average speed of a bus is 80 km / hr and including stoppages, the average speed of the bus is 40 km / hr. for how many minutes does the bus stop per hour?
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[Assistant] 30 min

[User]
what is the smallest integer n for which 25 ^ n > 5 ^ 12?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
a bottle contains a certain solution. in the bottled solution, the ratio of water to soap is 3 : 4, and the ratio of soap to salt is five times this ratio. the solution is poured into an open container, and after some time, the ratio of water to soap in the open container is quartered by water evaporation. at that time, what is the ratio of water to salt in the solution?
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[Assistant] 9 : 64

[User]
by selling an article for $ 110, a person gains $ 10. what is the gain %?
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[Assistant] 10 %

[User]
tough and tricky questions : functions. let a be a positive integer. let n # a equal n ^ ( 2 a ) if a is odd and n ^ ( 3 a ) if a is even. then ( 4 # 3 ) + ( 3 # 4 ) – ( 3 # 3 ) is equal to
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[Assistant] 4096


[User]
find the smallest number of 6 digits which is exactly divisible by 111.
Answer the question using a single word or phrase.

[Assistant] 100011

[User]
a company recently conducted a survey and found that 35,000 of its customers live in rural areas. if the number of customers who live in urban areas is 140 percent greater than the number of customers who live in rural areas, how many customers live in urban areas?
Answer the question using a single word or phrase.

[Assistant] 84,000

[User]
in plutarch enterprises, 60 % of the employees are marketers, 20 % are engineers, and the rest are managers. marketers make an average salary of $ 50,000 a year, and engineers make an average of $ 80,000. what is the average salary for managers if the average for all employees is also $ 80,000?
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[Assistant] $ 340,000

[User]
two stations a and b are 20 km apart on a straight line. one train starts from a at 7 a. m. and travels towards b at 20 kmph. another train starts from b at 8 a. m. and travels towards a at a speed of 25 kmph. at what time will they meet?
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[Assistant] 8

[User]
a bag contains 6 red, 3 yellow and 4 green balls. 3 balls are drawn randomly. what is the probability that the balls drawn contain balls of different colours?
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[Assistant] 1 / 4


[User]
a certain electric - company plan offers customers reduced rates for electricity used between 8 p. m. and 8 a. m. weekdays and 24 hours a day saturdays and sundays. under this plan, the reduced rates c apply to what fraction of a week?
Answer the question using a single word or phrase.

[Assistant] 9 / 14

[User]
a person can row at 9 kmph and still water. he takes 4 1 / 2 hours to row from a to b and back. what is the distance between a and b if the speed of the stream is 1 kmph?
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[Assistant] 20

[User]
the distance from steve's house to work is 35 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?
Answer the question using a single word or phrase.

[Assistant] 17.5

[User]
the dimensions of a room are 25 feet * 15 feet * 12 feet. what is the cost of white washing the 4 walls of the room at rs. 3 per square feet if there is one door of dimensions 6 feet * 3 feet and 3 windows of dimensions 4 feet * 3 feet each?
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[Assistant] s. 2718

[User]
the greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is :
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[Assistant] 127


[User]
in an examination, 300 students appeared. out of these students ; 28 % got first division, 54 % got second division and the remaining just passed. assuming that no student failed ; find the number of students who just passed.
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[Assistant] 54

[User]
the average of first 13 even numbers is?
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[Assistant] 14

[User]
a 250 m long train is running at a speed of 55 km / hr. it crossed a platform of length 520 m in?
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[Assistant] 50.4 sec

[User]
what is 15 percent of 54?
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[Assistant] 8.1

[User]
a sum of money at simple interest amount to rs 720 after 2 years and to rs 1020 after a further period of 5 years. the sum is :
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[Assistant] 600


[User]
working together, wayne and his son can shovel the entire driveway in three hours. if wayne can shovel eight times as fast as his son can, how many hours would it take for his son to shovel the entire driveway on his own?
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[Assistant] 9

[User]
a boat running up stram takes 6 hours to cover a certain distance, while it takes 7 hours to cover the same distance running down stream. what is the ratio between the speed of the boat and the speed of water current respectively?
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[Assistant] 13 : 1

[User]
company s produces two kinds of stereos : basic and deluxe. of the stereos produced by company s last month, 2 / 3 were basic and the rest were deluxe. if it takes 1.6 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?
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[Assistant] 1 / 2

[User]
a car traveled 75 % of the way from town a to town b at an average speed of 50 miles per hour. the car travels at an average speed of s miles per hour for the remaining part of the trip. the average speed for the entire trip was 60 miles per hour. what is s?
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[Assistant] 150

[User]
when positive integer n is divided by positive integer j, the remainder is 12. if n / j = 134.02, what is value of j?
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[Assistant] 600


[User]
joshua and jose work at an auto repair center with 5 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 / 21

[User]
in the coordinate plane, points ( x, 2 ) and ( 10, y ) are on line k. if line k passes through the origin and has slope 1 / 2, then x + y =
Answer the question using a single word or phrase.

[Assistant] 9

[User]
the average score of a cricketer in 2 matches is 20 and in other 3 matches is 30. then find the average score in all the 5 matches?
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[Assistant] 26

[User]
4 mat - weavers can weave 4 mats in 4 days. at the same rate, how many mats would be woven by 10 mat - weavers in 10 days?
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[Assistant] 25

[User]
rahul played weel in this season. his current batting averagge is 51. if he score 78 runs in today match. his batting average will become 54. how many matches had he played in this season.
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[Assistant] 8


[User]
a number when divided by a divisor leaves a remainder of 24. when twice the original number is divided by the same divisor, the remainder is 11. what is the value of the divisor?
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[Assistant] 37

[User]
an uneducated retailer marks all his goods at 65 % above the cost price and thinking that he will still make 25 % profit, offers a discount of 25 % on the marked price. what is his actual profit on the sales?
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[Assistant] 23.75 %

[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 126 km downstream.
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[Assistant] 6 hours

[User]
if 7 a = 2 b = 15, then 42 ab =
Answer the question using a single word or phrase.

[Assistant] 675

[User]
10 friends went to a hotel and decided to pay the bill amount equally. but 9 of them could pay rs. 50 each as a result 10 th has to pay rs. 180 extra than his share. find the amount paid by him.
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[Assistant] 120


[User]
if 0.75 : x : : 5 : 7, then x is equal to :
Answer the question using a single word or phrase.

[Assistant] 1.05

[User]
a new tower has just been built at the verbico military hospital ; the number of beds available for patients at the hospital is now 7 times the number available before the new tower was built. currently, 1 / 3 of the hospital's original beds, as well as 1 / 5 of the beds in the new tower, are occupied. for the purposes of renovating the hospital's original wing, all of the patients in the hospital's original beds must be transferred to beds in the new tower. if patients are neither admitted nor discharged during the transfer, what fraction of the beds in the new tower will be unoccupied once the transfer is complete?
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[Assistant] 67 / 90

[User]
a man rows 750 m in 675 seconds against the stream and returns in 7 and half minutes. his rowing speed in s ɵ ll water is
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[Assistant] 5 kmph

[User]
a alone can finish a work in 10 days which b alone can finish in 15 days. if they work together and finish it, then out of a total wages of rs. 3500, a will get :
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[Assistant] rs. 2100

[User]
sides of a rectangular park are in the ratio 3 : 2 and its area is 7350 sq m, the cost of fencing it at 50 ps per meter is?
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[Assistant] 175


[User]
how many shots of 1 cm radius can be prepared from a sphere of 3 cm radius?
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[Assistant] 27

[User]
two trains each 190 m in length each, are running on two parallel lines in opposite directions. if one goes at the speed of 65 km / h while the other travels at 50 km / h. how long will it take for them to pass each other completely.
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[Assistant] 11.9 sec

[User]
a 600 m long train crosses a tree in 60 sec, how much time will it take to pass a platform 450 m long?
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[Assistant] 105

[User]
the price of rice falls by 10 %. how much rice can be bought now with the money that was sufficient to buy 20 kg of rice previously?
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[User]
the least number, which when divided by 12, 15, 20 and 63 leaves in each case a remainder of 8 is :
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[Assistant] 1268


[User]
in a class of 50 students, 3 / 5 went away do painting, 1 / 5 went to play in the field. how many students are left in the classroom?
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[Assistant] 10

[User]
a statue is being carved by a sculptor. the original piece of marble weighed 300 kg. in the first week 30 percent is cut away. in the second week 30 percent of the remainder is cut away. in the third week the statue is completed when 15 percent of the remainder is cut away. what is the weight of the final statue?
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[Assistant] 125 kg

[User]
a $ 500 investment and a $ 1,500 investment have a combined yearly return of 10 percent of the total of the two investments. if the $ 500 investment has a yearly return of 7 percent, what percent yearly return does the $ 1,500 investment have?
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[Assistant] 11 %

[User]
the number of positive integer solutions for the equation x + y + z + t = 18 is
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[Assistant] 680

[User]
the average age of a group of n people is 15 years old. one more person aged 37 joins the group and the new average is 17 years old. what is the value of n?
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[Assistant] 10


[User]
if bill can buy 3 pairs of jeans and 2 shirts for $ 69 or 2 pairs of jeans and 3 shirts for $ 81, how much does one shirt cost?
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[Assistant] $ 21

[User]
a squirrel runs up a cylindrical post, in a perfect spiral path making one circuit for each rise of 3 feet. how many feet does the squirrel travels if the post is 27 feet tall and 3 feet in circumference?
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[Assistant] 27 feet

[User]
how many zeroes are there at the end of the number n, if n = 60! + 120!?
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[Assistant] 14

[User]
if x is a sum of all even integers on the interval 13... 61 and y is their number, what is the gcd ( x, y )?
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[Assistant] 24

[User]
a train leaves delhi at 11 a. m. at a speed of 30 kmph. another train leaves at 2 p. m. at a speed of 40 kmph on the same day and in the same direction. how far from delhi, will the two trains meet?
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[Assistant] 360


[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 tails up exactly twice in 2 consecutive flips?
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[Assistant] 0.25

[User]
how many multiples of 8 are less than 7600, and also multiples of 19?
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[Assistant] 50

[User]
in a rectangular axis system, what is the area of a parallelogram with the coordinates : ( 5,7 ), ( 12,7 ), ( 2,3 ), ( 9,3 )?
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[Assistant] 21

[User]
of the 12,210 employees of the anvil factory, 2 / 7 are journeymen. if half of the journeymen were laid off, what percentage of the total remaining employees would be journeymen?
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[Assistant] 13.67 %

[User]
given two sets a = { 11, 44, 55 } and b = { 01 }, if one number is chosen from each set at random, what is the probability that the sum of both numbers is an even number
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[Assistant] 1 / 2


[User]
what is the least value of x, so that 2 x 4472 is divisible by 9
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[Assistant] 8

[User]
a man saves 20 % of his monthly salary. if an account of dearness of things he is to increase his monthly expenses by 20 %, he is only able to save rs. 230 per month. what is his monthly salary?
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[Assistant] 5750

[User]
one hour after adrienne started walking the 60 miles from x to y, william started walking from x to y as well. adrienne walks 3 miles per hour and william walks 1 mile per hour faster than adrienne. how far from x will william be when he catches up to adrienne?
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[Assistant] 11 miles

[User]
a shipment of 250 smartphones contains 76 that are defective. if a customer buys two smartphones at random from the shipment, what is the approximate probability that both phones are defective?
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[Assistant] 1 / 11

[User]
if 48 machine can finish a job in 80 days, then how many more machines would be needed to finish the job in one - fifth less time?
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[Assistant] d. 12


[User]
a courtyard is 25 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. the total number of bricks required is
Answer the question using a single word or phrase.

[Assistant] 20000

[User]
a train 108 m long is moving at a speed of 50 km / hr. it crosses a train 112 m long coming from opposite direction in 6 seconds. what is the speed of the second train?
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[Assistant] 82 kmph

[User]
john found that the average of 15 numbers is 40. if 14 is added to each number then the mean of number is?
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[Assistant] 54

[User]
the perimeter of a square is equal to the perimeter of a rectangle of length 18 cm and breadth 14 cm. find the circumference of a semicircle whose diameter is equal to the side of the square. ( round off your answer to two decimal places )
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[Assistant] 25.14

[User]
when 6 is added to half of one - third of one - fifth of a number, the result is one - fifteenth of the number. find the number?
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[Assistant] 180


[User]
danny and steve are running towards each other, each one from his own house. danny can reach steve's house in 31 minutes of running, which is half the time it takes steve to reach danny's house. if the two started to run at the same time, how much time longer will it take steve to reach the halfway point between their houses than danny to reach the halfway point between their houses?
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[Assistant] 15.5 minutes

[User]
in a group of 140 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. if a person is selected at random from this group, what is the probability the person's age is less than 20?
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[Assistant] 0.35

[User]
a rope of which a calf is tied is increased from 12 m to 21 m, how much additional grassy ground shall it graze?
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[Assistant] 933.4

[User]
in a school with 640 students, the average age of the boys is 12 years and that of the girls is 11 years. if the average age of the school is 11 years 9 months, then the number of girls in the school is
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[Assistant] 160

[User]
if the average ( arithmetic mean ) of x, x + 2, and x + 4 is 33, what is the value of x?
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[Assistant] 31


[User]
two persons a and b can complete a piece of work in 30 days and 45 days respectively. if they work together, what part of the work will be completed in 4 days?
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[Assistant] 2 / 9

[User]
30 pens and 75 pencils were purchased for 690. if the average price of a pencil was 2.00, find the average price of a pen.
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[Assistant] 18

[User]
if the price of a tv is first decreased by 20 % and then increased by 45 %, then the net change in the price will be :
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[Assistant] 16 % increase

[User]
two dogsled teams raced across a 300 mile course in wyoming. team a finished the course in 3 fewer hours than team e. if team a's average speed was 5 mph greater than team e's, what was team e's average mph?
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[Assistant] 20

[User]
a and b can do a piece of work in 40 days and 50 days respectively. they work together for 10 days and b leaves. in how many days the whole work is completed?
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[Assistant] 28 days


[User]
sahil purchased a machine at rs 13000, then got it repaired at rs 5000, then gave its transportation charges rs 1000. then he sold it with 50 % of profit. at what price he actually sold it.
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[Assistant] rs. 28500

[User]
how many numbers from 10 to 43 are exactly divisible by 3?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
working together, printer a and printer b would finish the task in 30 minutes. printer a alone would finish the task in 50 minutes. how many pages does the task contain if printer b prints 3 pages a minute more than printer a?
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[Assistant] 400

[User]
train speed 36 kph. dist travelled in 3 minutes in meters
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[Assistant] 1800

[User]
300 first - time customers of a fashion store were surveyed for their shopping experience right after leaving the store. 60 % of the customers in the survey had purchased clothes for less than $ 100. 40 % of the customers in the survey reported they were overall satisfied with their purchase. 65 % of the customers that had purchased clothes for less than $ 100 reported they were overall satisfied with their purchase. what percent of the customers surveyed purchased clothes for at least $ 100 and reported that they were not overall satisfied with their purchase?
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[Assistant] 1


[User]
in a company of 148 employees, 92 are females. a total of 78 employees have advanced degrees and the rest have a college degree only. if 31 employees are males with college degree only, how many employees are females with advanced degrees?
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[Assistant] 53

[User]
a cycle is bought for rs. 900 and sold for rs. 1260, find the gain percent?
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[Assistant] 40 %

[User]
a van takes 6 hours to cover a distance of 288 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] 32 kmph

[User]
a goods train runs at the speed of 72 km / hr and crosses a 250 m long platform in 30 sec. what is the length of the goods train?
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[Assistant] 350

[User]
the ratio of the adjacent angles of a parallelogram is 8 : 10. also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. what is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral?
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[Assistant] 164 °


[User]
if the price of a certain computer increased 30 percent from d dollars to 364 dollars, then 2 d =
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[Assistant] 560

[User]
find the value of 72518 x 9999 = m?
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[Assistant] 725107482

[User]
ratio of two numbers x and y is 2 : 5. if x is increased by 50 % and y is increased by 8 then the new ratio becomes 3 : 10. what is the ratio 3 y : ( x + 6 )
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[Assistant] 15 : 8

[User]
the first doughnut is priced at $ 1 and then if you purchase additional doughnuts as dozens then the price is $ 6 / dozen. what is the total number of doughnut purchased if you paid $ 19?
Answer the question using a single word or phrase.

[Assistant] 37

[User]
factory x's bulbs work for over 4000 hours in 59 % of cases, whereas factory y's bulbs work for over 4000 hours in 65 % of cases. it is known that factory x supplies 60 % of the total bulbs available. what is the chance that a purchased bulb will work for longer than 4000 hours?
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[Assistant] 61.4 %


[User]
walking 6 / 7 of his usual rate, a boy reaches his school 4 min early. find his usual time to reach the school?
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[Assistant] 24 m

[User]
if 6 a = 7 b = 20, then 84 ab =
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[Assistant] 800

[User]
a 180 meter long train crosses a man standing on the platform in 6 sec. what is the speed of the train?
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[Assistant] 108

[User]
a is twice efficient as b and together they do the same work in as much time as c and d together. if c and d can complete the work in 20 and 30 daysrespectively, working alone, then in how many days a can complete the work individually :
Answer the question using a single word or phrase.

[Assistant] 18 days

[User]
a $ 500 investment and a $ 1,500 investment have a combined yearly return of 19 percent of the total of the two investments. if the $ 500 investment has a yearly return of 7 percent, what percent yearly return does the $ 1,500 investment have?
Answer the question using a single word or phrase.

[Assistant] 23 %


[User]
it is well known that a triangle ’ s area is √ ( p ( p - a ) ( p - b ) ( p - c ) ), when p = ( a + b + c ) / 2, such that a, b, c are the lengths of sides of the triangle. if the triangle has 300, 300, and 300 as the side ’ s lengths, what is the triangle ’ s area?
Answer the question using a single word or phrase.

[Assistant] 38,971

[User]
in the fifth grade at parkway elementary school there are 450 students. 320 students are boys and 250 students are playing soccer. 86 % of the students that play soccer are boys. how many girl student are in parkway that is not playing soccer?
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[Assistant] 95.

[User]
at a kennel with 80 dogs, 45 of the dogs wear tags and 40 wear flea collars. if 6 of the dogs wear both, then how many of the dogs wear neither a collar nor tags?
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[Assistant] 1

[User]
the ratio 9 : 5 expressed as a percent equals
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[Assistant] 180 %

[User]
the sum of all two digit numbers divisible by 7 is
Answer the question using a single word or phrase.

[Assistant] 728


[User]
a number when divided by a certain divisor left remainder 241, when twice the number was divided by the same divisor, the remainder was 115. find the divisor?
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[Assistant] 367

[User]
find the value of x. ( 47 % of 1442 - 36 % of 1412 ) + 65 = x?
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[Assistant] 5

[User]
the edges of three metal cubes are 1 cm, 2 cm, and 4 cm respectively. a new cube is made by melting these three cubes together. what is the edge of the new cube ( in centimeters )?
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[Assistant] 4.2

[User]
every letter in the alphabet has a number value that is equal to its place in the alphabet. thus, the letter a has a value of 1, the letter b has a value of 2, the letter c has a value of 3, etc... the number value of a word is obtained by adding up the value of the letters in the word and then multiplying that sum by the length of the word. what is the number value of the word ` ` dog ' '?
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[Assistant] 78

[User]
the average of 1 st 3 of 4 numbers is 6 and of the last 3 are 5. if the sum of the first and the last number is 21. what is the last numbers?
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[Assistant] 9


[User]
find the sum the difference between the compound and s. i. on a certain sum of money for 6 years at 10 % per annum is rs. 80 of money?
Answer the question using a single word or phrase.

[Assistant] 4800

[User]
a grocery store bought some mangoes at a rate of 5 for a dollar. they were separated into two stacks, one of which was sold at a rate of 4 for a dollar and the other at a rate of 6 for a dollar. what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes?
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[Assistant] 3 : 2

[User]
what is the positive difference between the sum of the squares of the first 6 positive integers and the sum of the prime numbers between the first square and fourth square?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
john makes $ 60 a week from his job. he earns a raise and now makes $ 80 a week. what is the % increase?
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[Assistant] 33.33 %

[User]
find the area of a parallelogram with base 28 cm and height 32 cm.
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[Assistant] 896


[User]
a can complete a work in 18 days and b can do the same work in 10 days. if a after doing 3 days, leaves the work, find in how many days b will do the remaining work?
Answer the question using a single word or phrase.

[Assistant] 8 days

[User]
what is the range of all the roots of | x ^ 2 - 5 | = x?
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[Assistant] 4

[User]
a man can swim in still water at 15 km / h, but takes twice as long to swim upstream than downstream. the speed of the stream is?
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[Assistant] 5

[User]
there are 134 toys coloured red and white in a box. two red toys are removed from the lot and now there are twice as many red ones as white ones. how many of red colour toys are there now?
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[Assistant] 88

[User]
2224 × 9997 =?
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[Assistant] 22233328


[User]
a train running at a speed of 36 kmph crosses an electric pole in 12 seconds. in how much time will it cross a 340 m long platform?
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[Assistant] 46

[User]
a shopkeeper sells 20 % of his stock at 20 % profit ans sells the remaining at a loss of 10 %. he incurred an overall loss of rs. 500. find the total worth of the stock?
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[Assistant] 12500

[User]
triangle xyz is an isosceles right triangle. if side xy is longer than side yz, and the area of the triangle is 25, what is the measure of side xy?
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[Assistant] 10

[User]
a pharmaceutical company received $ 2 million in royalties on the first $ 12 ; million in sales of generic equivalent of one of its products and then $ 4 million in royalties on the next $ 48 million in sales. by approximately what percent did the ratio of royalties to sales decrease from the first $ 12 million in sales to the next $ 48 million in sales?
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[Assistant] 50 %

[User]
an ore contains 25 % of an alloy that has 90 % iron. other than this, in remaining 75 % of the ore, there is no iron. how many kgs of the ore are needed to obtain 60 kg. of pure iron.?
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[Assistant] 263.66


[User]
what is 15 % of 2 / 3 of 0.4?
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[Assistant] 0.09

[User]
the average temperature for monday, tuesday, wednesday and thursday was 48 degrees and for tuesday, wednesday, thursday and friday was 46 degrees. if the temperature on monday was 43 degrees. find the temperature on friday?
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[Assistant] 35 degrees

[User]
what is the probability that the sum of two dice will yield a 4, and then when both are thrown again, their sum will again yield a 4? assume that each die has 3 sides with faces numbered 1 to 3.
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[Assistant] 1 / 9

[User]
in a graduating class of 232 students, 144 took geometry and 119 took biology. what is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology?
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[Assistant] 113

[User]
albert father was 48 years of age when she was born while her mother was 46 years old when her brother 2 years younger to her was born. what is the difference between the ages of her parents?
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[Assistant] 4


[User]
what was the principal, if at 12 % per annum the interest after 3 years amounted to rs. 5888 less than the sum lent?
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[Assistant] 9200

[User]
what is the 14 th digit to the right of the decimal point in the decimal equivalent of 82 / 11?
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[Assistant] 5

[User]
on thursday mabel handled 90 transactions. anthony handled 10 % more transactions than mabel, cal handled 2 / 3 rds of the transactions that anthony handled, and jade handled 14 more transactions than cal. how much transactions did jade handled?
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[Assistant] 80

[User]
two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively. if 12 litres from vessel p is mixed with 4 litres from vessel q, the ratio of alcohol and water in the resulting mixture is?
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[Assistant] 11 : 5

[User]
two trains are moving in opposite directions at 60 km / hr and 90 km / hr. their lengths are 1.9 km and 2.1 km respectively. the time taken by the slower train to cross the faster train in seconds is?
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[Assistant] 96


[User]
on a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. on the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. on both days, all the orangeade that was made was sold. if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.60 per glass on the first day, what was the price r per glass on the second day?
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[Assistant] $ 0.40

[User]
two numbers are in the ratio of 2 : 3. if 4 is added in both numbers the ratio becomes 5 : 7. find the difference between numbers.
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[Assistant] 8

[User]
after successive discounts of 20 %, 10 % and 5 % a certain good is sold for rs. 6600. find the actual price of the good.
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[Assistant] s. 9649

[User]
in a certain accounting class of 100 students, 70 % of the students took the final exam on the assigned day while the rest of the students took the exam on a make - up date. if the students on the assigned day had an average score of 55 %, and the students on the make - up date had an average score of 95 %, what was the average score for the entire class?
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[Assistant] 67 %

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


[User]
excluding stoppages, the speed of a bus is 64 kmph and including stoppages, it is 50 kmph. for how many minutes does the bus stop per hour?
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[Assistant] 13.12

[User]
a can do a piece of work in 4 hours ; b and c together can do it in 3 hours, while a and c together can do it in 2 hours. how long will b alone take to do it?
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[Assistant] 12 hours

[User]
the moon revolves around the earth at a speed of approximately 1.02 kilometers per second. this approximate speed is how many kilometers per hour?
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[Assistant] 3,672

[User]
the ratio of football players, baseball players, soccer players, and basketball players in a school is 10 : 7 : 5 : 4. how many athletes are in the school if 16 players are on the basketball team?
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[Assistant] 104

[User]
7386038 is divisible by
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[Assistant] 11


[User]
40 % of a number is more than 20 % of 650 by 190. find the number?
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[Assistant] 800

[User]
what is the sum of the digits of integer k, if k = ( 10 ^ 30 - 36 )
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[Assistant] 262

[User]
if a # b = ab – b + b ^ 2, then 3 # 7 =
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[Assistant] 63

[User]
a train covers a distance of 12 km in 10 min. if it takes 4 sec to pass a telegraph post, then the length of the train is?
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[Assistant] 80

[User]
a certain list consists of 21 different numbers. if n is in the list and n is 4 times the average ( arithmetic mean ) of the other 20 numbers in the list, then n is what fraction w of the sum of the 21 numbers in the list?
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[Assistant] 1 / 6


[User]
the average salary of 16 people in the shipping department at a certain firm is $ 20000. the salary of 5 of the employees is $ 25000 each and the salary of 4 of the employees is $ 16000 each. what is the average salary of the remaining employees?
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[Assistant] $ 18,714

[User]
jerry went to a shop and bought things worth rs. 40, out of which 30 % went on sales tax on taxable purchases. if the tax rate was 6 %, then what was the cost of the tax free items?
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[Assistant] 34.7

[User]
a no. when divided by 142 gives a remainder 110, what remainder will be obtainedby dividingthe same no. 14?
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[Assistant] 18

[User]
two stations a and b are 110 km apart on a straight line. one train starts from a at 6 a. m. and travels towards b at 20 kmph. another train starts from b at 8 a. m. and travels towards a at a speed of 25 kmph. at what time will they meet?
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[Assistant] 9

[User]
one pipe can fill a tank four times as fast as another pipe. if together the two pipes can fill the tank in 40 minutes, then the slower pipe alone will be able to fill the tank in?
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[Assistant] 200 min


[User]
john found that the average of 15 numbers is 40. if 13 is added to each number then the mean of number is?
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[Assistant] 53

[User]
a straight line in the xy - plane has y - intercept of 10. on this line the x - coordinate of the point is 100 and y - coordinate is 1000 then what is the slope of the line?
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[Assistant] 9.9

[User]
a circle in the coordinate plane passes through points ( - 3, - 2 ) and ( - 1, 4 ). what is the smallest possible area of that circle?
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[Assistant] 10 π

[User]
a man walking at the rate of 5 km / hr crosses a bridge in 15 minutes. what is the length of the bridge ( in metres )?
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[Assistant] 1250

[User]
the length of the bridge, which a train 160 metres long and travelling at 45 km / hr can cross in 30 seconds, is :
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[Assistant] 215 m


[User]
two spies agreed to meet at a gas station between noon and 1 pm, but they have both forgotten the arranged time. each arrives at a random time between noon and 1 pm and stays for 6 minutes unless the other is there before the 6 minutes are up. assuming all random times are equally likely, what is the probability that they will meet within the hour ( noon to 1 pm )?
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[Assistant] 0.19

[User]
the average of 45 results is 12. 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] 650

[User]
how many digits are in ( 8 × 10 ^ 8 ) ( 10 × 10 ^ 10 )?
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[Assistant] 20

[User]
the water level in a rectangular swimming pool measuring 50 feet by 25 feet is to be lowered by 6 inches. how many gallons of water must be removed? ( 1 cu ft = 7.5 gallons )
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[Assistant] 4687.5

[User]
if 34 men do a work in 40 days, in how many days will 20 men do it?
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[Assistant] 68


[User]
susan finds that she spends her free time during summer vacation between swimming, reading, and hanging out with friends in a ratio of 1 : 4 : 10. how many hours did she spend reading if she hung out with her friends for 20 hours?
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[Assistant] 8

[User]
3 ltr of water is added with 11 ltr of a solution containing 42 % of alcohol in the water. the % of alcohol in the new mixture is?
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[Assistant] 33 %

[User]
in a fuel station the service costs $ 1.75 per car, every liter of fuel costs 0.65 $. assuming that a company owns 12 cars and that every fuel tank contains 30 liters and they are all empty, how much money total will it cost to fuel all cars?
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[Assistant] 255 $

[User]
when positive integer x is divided by positive integer y, the remainder is 1.44. if x / y = 96.12, what is the value of y?
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[Assistant] 12

[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 e hours does it currently take anne to clean the house on her own?
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[Assistant] 12


[User]
sophia finished 23 of a book. she calculated that she finished 90 more pages than she has yet to read. how long is her book?
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[Assistant] 270

[User]
on dividing a n by 9, remainder is 8. the quotient obtained when divided by 11, leaves remainder 9. now the quotient when divided by 13, leaves remainder 8. find the remainder when when the n is divided by 1287
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[Assistant] 881

[User]
a sports retailer ordered white and yellow tennis balls in equal number but the dispatch clerk of the tennis ball company erred and dispatched 50 extra yellow balls and making ratio of white balls to yellow balls 7 / 11. how many tennis balls did the retailer order originally.
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[Assistant] 175

[User]
two cars are traveling in the same direction along the same route. the red car travels at a constant speed of 10 miles per hour, and the black car is traveling at a constant speed of 50 miles per hour. if the red car is 20 miles ahead of the black car, how many hours will it take the black car to overtake the red car?
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[Assistant] 0.5

[User]
if 10 litres of an oil of rs. 54 per litres be mixed with 5 litres of another oil of rs. 66 per litre then what is the rate of mixed oil per litre?
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[Assistant] rs. 58


[User]
a tank is filled by 3 pipes a, b, c in 10 hours. pipe c is twice as fast as b and b is twice as fast as a. how much will pipe a alone take to fill the tank?
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[Assistant] 70 hr

[User]
the difference between a positive proper fraction and its reciprocal is 9 / 20. the fraction is
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[Assistant] 4 / 5

[User]
rahul can do a work in 3 days while rajesh can do the same work in 2 days. both of them finish the work together and get $ 2250. what is the share of rahul?
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[Assistant] $ 900

[User]
a can complete the job in 3 hours and b can complete the same job in 3 hours. a works for 1 hour and then b joins and both complete the job. what fraction of the job did b complete
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[Assistant] 1 / 6

[User]
hcf and lcm two numbers are 20 and 396 respectively. if one of the numbers is 36, then the other number is?
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[Assistant] 220


[User]
a bag has 1, 3, 5, 7, 9,11 and 13 cm sticks. find the probability that they they will form a triangle if 3 sticks are drawn?
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[Assistant] 13 / 35

[User]
a number whose fifth part increased by 5 is equal to its fourth part diminished by 5, is
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[Assistant] 200

[User]
a train running at the speed of 60 km / hr crosses a pole in 15 seconds. what is the length of the train?
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[Assistant] 250 m

[User]
what is the least number which should be added to 2982 so that the sum is exactly divisible by 5, 6, 4, and 3?
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[Assistant] 18

[User]
the ratio of toddlers to infants at a day care center is 7 to 3. if 12 more infants join the day care to change the ratio to 7 to 5, how many toddlers are there at this day care center?
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[Assistant] 42


[User]
a train 280 m long, running with a speed of 72 km / hr will pass a tree in?
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[Assistant] 14 sec

[User]
in a coconut grove, ( x + 4 ) trees yield 60 nuts per year, x trees yield 120 nuts per year and ( x – 4 ) trees yield 180 nuts per year. if the average yield per year per tree be 100, find x.
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[Assistant] 8

[User]
what is the sum of the greatest common factor and the lowest common multiple of 12 and 36?
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[Assistant] 48

[User]
what is the sum of all the prime numbers greater than 30 but less than 50?
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[Assistant] 199

[User]
in one hour, a boat goes 16 km along the stream and 6 km against the stream. the speed of the boat in still water ( in km / hr ) is :
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[Assistant] 11


[User]
what is the sum of the integers from - 150 to 155, inclusive?
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[Assistant] 765

[User]
how long does a train 120 m long running at the speed of 70 km / hr takes to cross a bridge 150 m length?
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[Assistant] 13.9 sec

[User]
in a garden, there are 10 rows and 12 columns of mango trees. the distance between the two trees is 2 metres and a distance of two metres is left from all sides of the boundary of the garden. what is the length of the garden?
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[Assistant] 26

[User]
a palindrome is a number that reads the same forward and backward, such as 121. how many odd, 4 - digit numbers are palindromes?
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[Assistant] 50

[User]
in an aquarium there is 14 purple fish, 8 orange fish, 12 pink fish, 3 golden fish. how many fish are there in an aquarium?
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[Assistant] 37


[User]
last year, for every 100 million vehicles that traveled on a certain highway, 100 vehicles were involved in accidents. if 2 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? ( 1 billion = 1,000, 000,000 )
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[Assistant] 2000

[User]
two men started from the same place walk at the rate of 10 kmph and 12 kmph respectively. what time will they take to be 40 km apart, if they walk in the same direction?
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[Assistant] 20 hours

[User]
the population of locusts in a certain swarm doubles every two hours. if 4 hours ago there were 1000 locusts in the swarm, in approximately how many hours will the swarm population exceed 128000 locusts?
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[Assistant] 10

[User]
if x is the product of the positive integers from 1 to 9, inclusive, and if i, k, m, and p are positive integers such that x = 2 i 3 k 5 m 7 px = 2 i 3 k 5 m 7 p, then i + k + m + p =
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[Assistant] 13

[User]
of the diplomats attending a summit conference, 22 speak french, 32 do not speak russian, and 20 % of the diplomats speak neither french nor russian. if 10 % of the diplomats speak both languages, then how many diplomats attended the conference?
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[Assistant] 100


[User]
a football team lost 5 yards and then gained 10. what is the team's progress?
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[Assistant] 5

[User]
find the sum of first 20 natural numbers
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[Assistant] 210

[User]
weights of two friends ram and shyam are in the ratio 2 : 5. if ram's weight is increased by 10 % and total weight of ram and shyam become 82.8 kg, with an increases of 15 %. by what percent did the weight of shyam has to be increased?
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[Assistant] 17 %

[User]
what is the tens digit of 36 ^ 12?
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[Assistant] 9

[User]
the smallest number which when diminished by 8, is divisible 8, 16, 24, 32 and 40 is :
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[Assistant] 488


[User]
the area of a triangle is with base 3 m and height 4 m?
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[Assistant] 6 m 2

[User]
calculate 469160 x 9999 =?
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[Assistant] 4691130840

[User]
the average age of students of a class is 15.8 years. the average age of boys in the class is 16.4 years and that of the girls is 15.4 years, the ratio of the number of boys to the number of girls in the class is :
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[Assistant] 2 : 3

[User]
at what rate percent on simple interest will rs. 850 amount to rs. 950 in 5 years?
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[Assistant] 2.35 %

[User]
if 4 people are selected from a group of 9 married couples, what is the probability that none of them would be married to each other?
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[Assistant] 56 / 85


[User]
joe went on a diet 4 months ago when he weighed 222 pounds. if he now weighs 198 pounds and continues to lose at the same average monthly rate, in approximately how many months will he weigh 180 pounds?
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[Assistant] 3

[User]
how many integers are divisible by 3 between 10! and 10! + 40 inclusive?
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[Assistant] 13

[User]
if the perimeter of a rectangular stadium is 800 m, its length when its breadth is 300 m is?
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[Assistant] 100

[User]
the ratio between the current age of a and b is 6 : 7. if b is 4 years old than a. what will be the ratio of the ages of a and b after 4 years?
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[Assistant] 7 : 8

[User]
the milk level in a rectangular box measuring 56 feet by 25 feet is to be lowered by 6 inches. how many gallons of milk must be removed? ( 1 cu ft = 7.5 gallons )
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[Assistant] 5250


[User]
what is the sum of all even numbers from 1 to 501?
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[Assistant] 62750

[User]
during 2005, a company produced an average of 2,500 products per month. how many products will the company need to produce from 2006 through 2008 in order to increase its monthly average for the period from 2005 through 2008 by 300 % over its 2005 average?
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[Assistant] 450,000

[User]
how many quarters are equal to 3 dollars?
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[Assistant] 12

[User]
if k ^ 3 is divisible by 60, what is the least possible value of integer k?
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[Assistant] 30

[User]
the purchase price of an article is $ 48. in order to include 20 % of cost for overhead and to provide $ 12 of net profit, the markup should be
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[Assistant] 45 %


[User]
a person can row at 10 kmph in still water. if the velocity of the current is 2 kmph and it takes him 10 hour to row to a place and come back, how far is the place?
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[Assistant] 48 km

[User]
what is the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
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[Assistant] 814

[User]
the average of first 8 prime numbers is?
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[Assistant] 9.625

[User]
from a group of 3 boys and 3 girls, 2 children are to be randomly selected. what is the probability that 1 boy and 1 girl will be selected?
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[Assistant] 9 / 15

[User]
the average of first five multiples of 7 is?
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[Assistant] 21


[User]
in one hour, a boat goes 21 km / hr along the stream and 11 km / hr against the stream. the speed of the boat in still water ( in km / hr ) is :
Answer the question using a single word or phrase.

[Assistant] 16 kmph

[User]
two pipes p and q can fill a cistern in 12 and 10 minutes respectively. both are opened together, but at the end of 3 minutes the first is turned off. how much longer will the cistern take to fill?
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[Assistant] 1 / 2

[User]
( 169 ) ^ 2 - ( 168 ) ^ 2 =
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[Assistant] 337

[User]
a meal cost $ 33.50 and there was no tax. if the tip was more than 10 pc but less than 15 pc of the price, then the total amount paid should be :
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[Assistant] 37 - 39

[User]
in a recent head - to - head run - off election, 15,000 absentee ballets were cast. 1 / 5 of the absentee ballets were thrown out and 1 / 4 of the remaining absentee ballets were cast for candidate a. how many absentee votes did candidate b receive?
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[Assistant] 9,000


[User]
a high school has 400 students 1 / 2 attend the arithmetic club, 5 / 8 attend the biology club and 3 / 4 attend the chemistry club. 3 / 8 attend all 3 clubs. if every student attends at least one club how many students attend exactly 2 clubs.
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[Assistant] 50

[User]
in a group of cows and hens, the number of legs are 30 more than twice the number of heads. the number of cows is
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[Assistant] 15

[User]
a train, 800 meter long is running with a speed of 78 km / hr. it crosses a tunnel in 1 minute. what is the length of the tunnel?
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[Assistant] 500 meter

[User]
how many digits are in ( 8 × 10 ^ 14 ) ( 10 × 10 ^ 10 )?
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[Assistant] 26

[User]
richard walks along sunrise boulevard daily. he starts walking at 07 : 00 from block 10 and walks to block 90 where he turns around and walks back to block 70, where he stops at 07 : 30. the blocks along the boulevard are numbered sequentially ( 1, 2,3 ), and each block measures 40 meters. what is richard's speed in meters per minute?
Answer the question using a single word or phrase.

[Assistant] 75


[User]
the distance from city a to city b is 180 miles. while driving from city a to city b, cara drives at a constant speed of 30 miles per hour. dan leaves city a 60 minutes after cara. what is the minimum constant speed in miles per hour that dan must exceed in order to arrive in city b before cara?
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[Assistant] 36

[User]
the length of the longest tape in cm which can be used to measure exactly, the length 100 cm ; 2 m 25 cm ; and 7 m 80 cm is :
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[Assistant] 5

[User]
how many positive factors do 180 and 90 have in common?
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[Assistant] 12

[User]
the population of a town is 10000. it increases annually at the rate of 27 % p. a. what will be its population after 2 years?
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[Assistant] 16129

[User]
the price of an item is discounted 10 percent on day 1 of a sale. on day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 5 percent. the price of the item on day 3 is what percentage of the sale price on day 1?
Answer the question using a single word or phrase.

[Assistant] 85.5 %


[User]
the captain of a cricket team of 11 members is 30 years old and the wicket keeper is 5 years younger. if the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. what is the average of the team?
Answer the question using a single word or phrase.

[Assistant] 23

[User]
a sum was put at simple interest at a certain rate for 10 years. had it been put at 5 % higher rate, it would have fetched rs. 300 more. what was the sum?
Answer the question using a single word or phrase.

[Assistant] s. 600

[User]
in an exam 49 % candidates failed in english and 36 % failed in hindi and 15 % failed in both subjects. if the total number of candidates who passed in english alone is 630. what is the total number of candidates appeared in exam?
Answer the question using a single word or phrase.

[Assistant] 3000

[User]
each of the three people individually can complete a certain job in 4, 5, and 6 hours, respectively. what is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates?
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[Assistant] 11 / 30

[User]
find the smallest number which when divided by 11 and 13 leaves respective remainders of 4 and 6.
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[Assistant] 136


[User]
in what time will a train 100 meters long cross an electric pole, if its speed is 180 km / hr
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[Assistant] 2 seconds

[User]
a train consists of 12 boggies, each boggy 15 metres long. the train crosses a telegraph post in 9 seconds. due to some problem, two boggies were detached. the train now crosses a telegraph post in
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[Assistant] 7.5 sec

[User]
in a box of 8 pens, a total of 2 are defective. if a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
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[Assistant] 15 / 28

[User]
if x is invested in a bank at a rate of simple interest of y % p. a. for two years, then the interest earned is 500. if x is invested at y % p. a., for two years when the interest is compounded annually, the interest is 512.50. what is the value of x?
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[Assistant] 5000

[User]
every year an amount increases by 1 / 8 th of itself. how much will it be after two years if its present value is rs. 2880?
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[Assistant] 3645


[User]
a man is walking at the rate of 5 km / hr crosses a bridge in 15 minutes. the length of the bridge is
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[Assistant] 1250 meters

[User]
a dishonest dealer professes to sell goods at the cost price but uses a weight of 840 grams per kg, what is his percent?
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[Assistant] 19

[User]
a train 500 m long passes a man, running at 9 km / hr in the same direction in which the train is going, in 20 seconds. the speed of the train is :
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[Assistant] 99

[User]
the cost price of a radio is rs. 4800 and it was sold for rs. 4400, find the loss %?
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[Assistant] 8

[User]
line m lies in the xy - plane. the y - intercept of line m is - 5, and line m passes through the midpoint of the line segment whose endpoints are ( 2, 4 ) and ( 6, - 8 ). what is the slope of line m?
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[Assistant] - 3


[User]
a certain machine produces 1,100 units of product p per hour. working continuously at this constant rate, this machine will produce how many units of product p in 6 days?
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[Assistant] 158,400

[User]
linda spent 3 / 4 of her savings on furniture and the rest on a tv. if the tv cost her $ 150, what were her original savings?
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[Assistant] $ 600

[User]
if 8 people can eat a gallon of ice cream in 10 days, how long would it take 5 people to eat a gallon of ice cream?
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[Assistant] 16 days

[User]
8 x 2.4 - 5 x 1.4 / 1.5 =?
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[Assistant] 9.46

[User]
in what time will a train 20 m long cross an electric pole, it its speed be 144 km / hr?
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[Assistant] 0.5 sec


[User]
the sum of number of boys and girls in a school is 150. if the number of boys is x, then the number of girls becomes x % of the total number of students. the number of boys is?
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[Assistant] 60

[User]
two trains a and b are 175 m and 150 m long and are moving at one another at 54 km / hr and 36 km / hr respectively. arun is sitting on coach b 1 of train a. calculate the time taken by arun to completely cross train b.
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[Assistant] 13 s

[User]
a train traveling with constant speed crosses a 90 m long platform in 12 seconds and a 120 m long platform in 15 seconds. find the length of the train and its speed.
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[Assistant] 30

[User]
if the average ( arithmetic mean ) of a and b is 100, and c – a = 120, what is the average of b and c?
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[Assistant] 160

[User]
how many seconds will a train 130 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
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[Assistant] 28 sec


[User]
a farmer spent $ 35 on feed for chickens and goats. he spent 40 % money on chicken feed, which he bought at a 20 % discount off the full price, and spent the rest on goat feed, which he bought at full price. if the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on the chicken feed and goat feed combined?
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[Assistant] $ 38.50

[User]
find the 18 th term of an arithmetic progression whose first term is 4 and the common difference is 5.
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[Assistant] 72

[User]
if m is an integer such that ( - 2 ) ^ 2 m = 2 ^ ( 18 - m ) then m =?
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[Assistant] 6

[User]
in 10 years, a will be twice as old 5 as b was 10 years ago. if a is now 12 years older than b, the present age of b is
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[Assistant] 42

[User]
drum x is 1 / 2 full of oil and drum y, which has twice the capacity of drum x, is 1 / 5 full of oil. if all of the oil in drum x is poured into drum y, then drum y will be filled to what capacity?
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[Assistant] 9 / 20


[User]
the average age of 3 boys is 120 years and their ages are in proportion 2 : 6 : 8. what is the age in years of the youngest boy?
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[Assistant] 15

[User]
for 2 consecutive yrs, my incomes are in the ratio of 4 : 7 and expenses in the ratio of 3 : 5. if my income in the 2 nd yr is rs. 42000 & my expenses in the first yr in rs. 25000, my total savings for the two - year is
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[Assistant] s. 6000

[User]
rahul played weel in this season. his current batting averagge is 50. if he score 78 runs in today match. his batting average will become 54. how many matches had he played in this season.
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[Assistant] 6

[User]
in 2 bags, there are to be put together 5 red and 12 white balls, neither bag being empty. how must the balls be divided so as to give a person who draws 1 ball from either bag - the greatest chance of drawing a red ball?
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[Assistant] 5 / 8

[User]
a circular well with a diameter of 6 metres, is dug to a depth of 24 metres. what is the volume of the earth dug out?
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[Assistant] 678.6 m 3


[User]
a man cycling along the road noticed that every 12 minutes a bus overtakes him and every 4 minutes he meets an oncoming bus. if all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses?
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[Assistant] 6 minutes

[User]
the average salary of a person for the months of january, february, march and april is rs. 8000 and that for the months february, march, april and may is rs. 8900. if his salary for the month of may is rs. 6500, find his salary for the month of january?
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[Assistant] s. 2900

[User]
( 3 x + 4 ) ( 2 x - 5 ) = ax ^ 2 + kx + n. what is the value of a - n + k?
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[Assistant] 15

[User]
a shopkeeper has 280 kg of apples. he sells 45 % of these at 20 % profit and remaining 60 % at 30 % profit. find his % profit on total.
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[Assistant] 27 %

[User]
the majority owner of a business received 25 % of the profit, with each of 4 partners receiving 25 % of the remaining profit. if the majority owner and two of the owners combined to receive $ 40,000, how much profit did the business make?
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[Assistant] $ 64,000


[User]
70 % of the employees of a company are men. 50 % of the men in the company speak french and 40 % of the employees of the company speak french. what is % of the women in the company who do not speak french?
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[Assistant] 83.33 %

[User]
a and b are partners in a business. a contributes 1 / 4 of the capital for 15 months and b received 2 / 3 of the profit. for how long b's money was used?
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[Assistant] 10

[User]
3 * 15 + 3 * 16 + 3 * 19 + 11 =?
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[Assistant] 161

[User]
a pump can fill a tank with water in 2 hours. because of a leak, it took 2 1 / 3 hours to fill the tank. the leak can drain all the water of the tank in?
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[Assistant] 14 hr

[User]
right triangle pqr is to be constructed in the xy - plane so that the right angle is at p and pr is parallel to the x - axis. the x - and y - coordinates of p, q and r are to be integers that satisfy the inequalities - 4 < = x < = 5 and 6 < = y < = 16. how many different triangles with these properties could be constructed?
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[Assistant] 9900