[User]
how many 5 digit ( digit = 0 - 9 ) zip codes can exist in which at least one digit is repeated?
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[Assistant] 69760

[User]
a train 400 m long is running at a speed of 54 km / hr. if it crosses a tunnel in 2 minutes. then what is the length of tunnel?
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[Assistant] 1400 m

[User]
if i walk at 3 km / h, i miss the bus by 12 minutes. if i walk at 6 km / h, i reach 10 minutes before the arrival of the bus. how far i walk to reach the bus stand?
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[Assistant] 2.19 km

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

[User]
the ratio of boarders to day students at a school was originally 5 to 12. however, after a number of new boarders join the initial 220 boarders, the ratio changed to 1 to 2. if no boarders became day students and vice versa, and no students left the school, how many new boarders joined the school?
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[Assistant] 44


[User]
in a class of 210 students, 70 did not opt for math. 55 did not opt for science and 42 did not opt for either. how many students of the class opted for both math and science?
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[Assistant] 127

[User]
1 ltr of water is added with 3 ltr of a solution containing 33 % of alcohol in the water. the % of alcohol in the new mixture is?
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[Assistant] 24.75 %

[User]
12 welders work at a constant rate they complete an order in 8 days. if after the first day, 9 welders start to work on the other project, how many more days the remaining welders will need to complete the rest of the order?
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[Assistant] 28

[User]
a ’ s speed is 20 / 15 times that of b. if a and b run a race, what part of the length of the race should a give b as a head start, so that the race ends in a dead heat?
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[Assistant] 5 / 20

[User]
the sum of the even numbers between 1 and n is 81 * 82, where n is an odd number, then n =?
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[Assistant] 163


[User]
saleem bought 4 baskets with the average cost of $ 4. if saleem also buys the fifth basket with the price of $ 8, what is the average ( arithmetic mean ) price of those 5 baskets?
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[Assistant] $ 4.80

[User]
when n is divided by 5 the remainder is 3. what is the remainder when n ^ 2 is divided by 5?
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[Assistant] 4

[User]
a rectangular swimming pool is 20 feet by 28 feet. a deck that has uniform width surrounds the pool. the total area of the pool and deck is 884 square feet. what is the width of the deck?
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[Assistant] 3 feet

[User]
in a covering a distance of 30 km, abhay takes 2 hours more than sameer. if abhay double his speed, then he would take 1 hour less than sammer. abhay's speed is?
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[Assistant] 5 km / hr

[User]
from a pack of 52 cards, 1 card is drawn at random. what is the probability that a jack, queen, or king is drawn?
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[Assistant] 3 / 13


[User]
a sum was put at simple interest at a certain rate for 9 years had it been put at 5 % higher rate, it would have fetched 1350 more. find the sum.
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[Assistant] 3000

[User]
three table runners have a combined area of 224 square inches. by overlapping the runners to cover 80 % of a table of area 175 square inches, the area that is covered by exactly two layers of runner is 24 square inches. what is the area of the table that is covered with three layers of runner?
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[Assistant] 30 square inches

[User]
this year, mbb consulting fired 9 % of its employees and left remaining employee salaries unchanged. sally, a first - year post - mba consultant, noticed that that the average ( arithmetic mean ) of employee salaries at mbb was 10 % more after the employee headcount reduction than before. the total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction?
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[Assistant] 100.1 %

[User]
the sum of two consecutive integers is 21. find the numbers.
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[Assistant] 10, 11

[User]
one pipe can fill a tank three times as fast as another pipe. if together the two pipes can fill the tank in 35 minutes, then the slower pipe alone will be able to fill the tank in
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[Assistant] 140 mins


[User]
if k is a non - negative integer and 15 ^ k is a divisor of 823,435 then 5 ^ k - k ^ 5 =
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[Assistant] 1

[User]
p alone can complete a job in 5 days. the work done by q alone in one day is equal to one - fourth of the work done by p alone in one day. in how many days can the work be completed if p and q work together?
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[Assistant] 4.0

[User]
the number of the members of a club is more than 10 and less than 40. when 3 people sit at a table, other people exactly divided to 6 - people groups ( 6 people sit at a table ) or 5 - people groups ( 5 people sit at a table ). if the members are divided to 7 - people groups, how many people will be left?
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[Assistant] 5.

[User]
what must be added to each of the numbers 7, 11 and 19, so that the resulting numbers may be in continued proportion?
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[Assistant] - 3

[User]
find the number, difference between number and its 3 / 5 is 64.
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[Assistant] 160


[User]
convert the 8 / 36 m / s into kilometers per hour?
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[Assistant] 0.8 kmph

[User]
the mean proportional between 234 and 104 is :
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[Assistant] 156

[User]
x and y are two towns. ganesh covers the distance from x to y at an average speed of 43 km / hr. however, he covers the distance from y to x at an average speed of 35 km / hr. his average speed during the whole journey in km / hr. is :
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[Assistant] 38.6

[User]
what is the lowest positive integer that is divisible by each of the integers 1 through 8, inclusive?
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[Assistant] 840

[User]
a man walks west 10 miles, then turns right towards north and walks another 10 miles. how far is he from the place he started walking.
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[Assistant] 14.14


[User]
the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 60, then 1 / m + 1 / n is equal to
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[Assistant] 1 / 21

[User]
a certain car uses 12 gallons of gasoline in traveling 300 miles. in order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car ’ s gas mileage be increased?
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[Assistant] 5

[User]
a 300 m long train crosses a platform in 30 sec while it crosses a signal pole in 18 sec. what is the length of the platform?
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[Assistant] 200 m

[User]
a train 110 m long is running with a speed of 65 km / hr. in what time will it pass a man who is running at 7 km / hr in the direction opposite to that in which the train is going?
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[Assistant] 5.5

[User]
the radius of a cylinder is 8 m, height 13 m. the volume of the cylinder is :
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[Assistant] 2614.9


[User]
marketing executives for a certain chewing gum company projected a 25 percent increase in revenue this year over that of last year, but revenue this year actually decreased by 25 %. what percent of the projected revenue was the actual revenue?
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[Assistant] 60 %

[User]
ashok and pyarelal invested money together in a business and share a capital of ashok is 1 / 9 of that of pyarelal. if the incur a loss of rs 900 then loss of pyarelal?
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[Assistant] 810

[User]
at what rate percent on simple interest will rs. 750 amount to rs. 975 in 5 years?
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[Assistant] 6

[User]
a container holds 4 quarts of diesel and 4 quarts of petrol. how many quarts of water must be added to the container to create a mixture that is 3 parts dieselto 5 parts water by petrol?
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[Assistant] 8 / 3

[User]
at a certain bowling alley, it costs $ 0.50 to rent bowling shoes for the day and $ 1.5 to bowl 1 game. if a person has $ 12.80 and must rent shoes, what is the greatest number of complete games that person can bowl in one day?
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[Assistant] 8


[User]
tough and tricky questions : number properties. what is the smallest positive integer x such that 1512 x is the cube of a positive integer?
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[Assistant] 49

[User]
4 mat - weavers can weave 4 mats in 4 days. at the same rate, how many mats would be woven by 8 mat - weavers in 8 days?
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[Assistant] 16

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

[User]
a can do a work in 15 days and b in 20 days. if they work on it together for 4 days then the fraction of the work that is left is?
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[Assistant] 8 / 15

[User]
the profit obtained by selling an article for rs. 66 is the same as the loss obtained by selling it for rs. 22. what is the cost price of the article?
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[Assistant] rs. 44


[User]
a volunteer organization is recruiting new members. in the fall they manage to increase their number by 4 %. by the spring however membership falls by 19 %. what is the total change in percentage from fall to spring?
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[Assistant] 15.76 %

[User]
find the value of ( √ 1.21 ) / ( √ 0.81 ) + ( √ 0.81 ) / ( √ 0.49 ) is
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[Assistant] 2.5

[User]
a cubical tank is filled with water to a level of 3 feet. if the water in the tank occupies 48 cubic feet, to what fraction of its capacity is the tank filled with water?
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[Assistant] 3 / 4

[User]
a and b began business with rs. 6000 and rs. 4000 after 8 months, a withdraws rs. 1000 and b advances rs. 1000 more. at the end of the year, their profits amounted to rs. 630 find the share of b.
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[Assistant] 273

[User]
there are 18 balls in a jar. you take out 3 blue balls without putting them back inside, and now the probability of pulling out a blue ball is 1 / 5. how many blue balls were there in the beginning?
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[Assistant] 6


[User]
sue's trail mix is 30 % nuts and 70 % dried fruit. jane's trail mix is 60 % nuts and 40 % chocolate chips. if the combined mixture of sue and jane's trails mix contains 45 % nuts, what percent of the combined mixture is dried fruit?
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[Assistant] 35 %

[User]
in august, a cricket team that played 120 matches won 20 % of the games it played. after a continuous winning streak, this team raised its average to 52 %. how many matches did the team win to attain this average?
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[Assistant] 80

[User]
dacid obtained 72, 45, 72, 77 and 75 marks ( out of 100 ) in english, mathematics, physics, chemistry and biology. what are his average marks?
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[Assistant] 68

[User]
find the area of a parallelogram with base 24 cm and height 16 cm.
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[Assistant] 384

[User]
two pipes a and b can fill a tank in 30 hours and 45 hours respectively. if both the pipes are opened simultaneously, how much time will be taken to fill the tank?
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[Assistant] 18 hours


[User]
a vendor buys 10 t - shirts at an average price of $ 14 per t - shirt. he then buys 15 more t - shirts at an average price of $ 11 per t - shirt. what is the average price d per t - shirt that the vendor paid for these purchases?
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[Assistant] $ 12.20

[User]
a certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $ 120,000 and variables costs averaging $ 8 per item. if the manufacturer ’ s selling price per item is $ 12, how many items the manufacturer produce and sell to earn an annual profit of $ 140,000?
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[Assistant] 65,000

[User]
there are 20 poles with a constant distance between each pole. a car takes 24 seconds to reach the 12 th pole. how much time will it take to reach the last pole?
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[Assistant] 41.45 s

[User]
in a group of 90 students, 36 are taking history, and 32 are taking statistics. if 57 students are taking history or statistics or both, then how many students are taking history but not statistics?
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[Assistant] 25

[User]
if a - b = 4 and a 2 + b 2 = 18, find the value of ab.
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[Assistant] 1


[User]
one computer can upload 100 megabytes worth of data in 5 seconds. two computers, including this one, working together, can upload 1300 megabytes worth of data in 40 seconds. how long would it take for the second computer, working on its own, to upload 100 megabytes of data?
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[Assistant] 8

[User]
a batsman makes a score of 88 runs in the 17 th inning and thus increases his averages by 3. find his average after 17 th inning?
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[Assistant] 40

[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 2 days?
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[Assistant] 1 / 9

[User]
find the area between two concentric circles defined by x 2 + y 2 - 2 x + 4 y + 1 = 0 x 2 + y 2 - 2 x + 4 y - 11 = 0
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[Assistant] 12 pi

[User]
stacy has a 63 page history paper due in 3 days. how many pages per day would she have to write to finish on time?
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[Assistant] 21


[User]
john want to buy a $ 100 trouser at the store, but he think it ’ s too expensive. finally, it goes on sale for $ 10. what is the percent decrease?
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[Assistant] 90 %

[User]
a river 2 m deep and 45 m wide is flowing at the rate of 2 kmph the amount of water that runs into the sea per minute is?
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[Assistant] 3000 m 3

[User]
the sale price sarees listed for rs. 400 after successive discount is 20 % and 5 % is?
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[Assistant] 304

[User]
calculate how many seconds it eill take for 4 bells to toll together again, given that they begin to toll together respectively at the intervals of 5, 8, 11 and 15 seconds.?
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[Assistant] 1320

[User]
the price of 3 pants and 6 t - shirts is rs. 2250. with the same money one can buy 1 pant and 12 t - shirts. if one wants to buy 8 t - shirts, how much shall she have to pay?
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[Assistant] 1200


[User]
a train running at the speed of 30 km / hr crosses a pole in 24 seconds. what is the length of the train?
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[Assistant] 200 m

[User]
- - - - - - - - - - - - - - - - yes - - - - - - - - - no - - - - unsure subject m - - - - 500 - - - - - - - - 200 - - - - - 100 subject r - - - - 400 - - - - - - - - 100 - - - - - 300 a total of 800 students were asked whether they found two subjects, m and r, interesting. each answer was either yes or no or unsure, and the numbers of students who gave these answers are listed in the table above. if 190 students answered yes only for subject m, how many of the students did not answer yes for either subject?
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[Assistant] 210

[User]
in may mrs lee's earnings were 45 percent of the lee family's total income. in june mrs lee earned 20 percent more than in may. if the rest of the family's income was the same both months, then, in june, mrs lee's earnings were approximately what percent of the lee family's total income?
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[Assistant] 50 %

[User]
217 * 217 + 183 * 183
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[Assistant] 80578

[User]
the length of a bridge in meters, which a train 100 - meters long and traveling at 45 km / hr can cross in 30 seconds is?
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[Assistant] 275


[User]
reema took a loan of rs 800 with simple interest for as many years as the rate of interest. if she paid rs. 632 as interest at the end of the loan period, what was the rate of interest.
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[Assistant] 8.88 %

[User]
pipe a can fill a tank in 32 minutes. pipe b can fill the same tank 3 times faster than pipe a. if both the pipes are connected to the tank so that they fill the tank simultaneously, how long will it take for the empty tank to overflow?
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[Assistant] 32 / 5 minutes

[User]
a train 125 m long passes a man, running at 4 km / hr in the same direction in which the train is going, in 10 seconds. the speed of the train is :
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[Assistant] 49 km / hr

[User]
divide $ 1000 among a, b in the ratio 1 : 4. how many $ that b get?
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[Assistant] $ 800

[User]
the positive number z is divisible by 4. what is the remainder of dividing z ( 2 + 4 + z ) + 3 by 2?
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[Assistant] 1


[User]
an alloy of zinc and copper contains the metals in the ratio 5 : 3. the quantity of zinc to be added to 16 kg of the alloy so that the ratio of the metal may be 3 : 1 is :
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[Assistant] 8

[User]
what is the value of ( 2 ) ^ - 6?
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[Assistant] 1 / 64

[User]
the population of a village is 7800. it increases annually at the rate of 18 % p. a. what will be its population after 2 years?
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[Assistant] 10860

[User]
find the numbers which are in the ratio 5 : 2 : 4 such that the sum of the first and the second added to the difference of the third and the second is 18?
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[Assistant] 10, 4,8

[User]
apple costs l rupees per kilogram for first 30 kgs and q rupees per kilogram for each additional kilogram. if the price of 33 kilograms is 168 and for 36 kgs of apples is 186 then the cost of first 20 kgs of apples is
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[Assistant] 100


[User]
two trains 200 m and 160 m long run at the speed of 68 kmph and 40 kmph in opposite directions in parallel tracks. the time which they take to cross each other is?
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[Assistant] 12 sec

[User]
the total age of a and b is 11 years more than the total age of b and c. c is how many years younger than a.?
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[Assistant] 11

[User]
lagaan is levied on the 60 percent of the cultivated land. the revenue department collected total rs. 3, 44,000 through the lagaan from the village of mutter. mutter, a very rich farmer, paid only rs. 480 as lagaan. the percentage of total land of mutter over the total taxable land of the village is :
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[Assistant] 0.23255

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

[User]
every student in a room is either a junior or a senior. there is at least one junior and at least one senior in the room. if 1 / 3 of the juniors is equal to 4 / 3 of the seniors, what fraction of the students in the room are juniors?
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[Assistant] 4 / 5


[User]
how many 7 in between 1 to 130?
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[Assistant] 23

[User]
given that 100.48 = x, 100.70 = y and xz = y ², then the value of z is close to
Answer the question using a single word or phrase.

[Assistant] 2.9

[User]
the number of stamps that p and q had were in the ratio of 7 : 4 respectively. after p gave q 8 stamps, the ratio of the number of p's stamps to the number of q's stamps was 6 : 5. as a result of the gift, p had how many more stamps than q?
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[Assistant] 8

[User]
a certain cube floating in a bucket of water has between 80 and 85 percent of its volume below the surface of the water. if between 8 and 15 cubic centimeters of the cube's volume is above the surface of the water, then the length of a side of the cube is approximately
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[Assistant] 4

[User]
a circular logo is enlarged to fit the lid of a jar. the new diameter is 10 per cent larger than the original. by what percentage has the area of the logo increased?
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[Assistant] 21


[User]
a certain car traveled twice as many miles from town a to town b as it did from town b to town c. from town a to town b, the car averaged 20 miles per gallon, and from town b to town c, the car averaged 25 miles per gallon. what is the average miles per gallon that the car achieved on its trip from town a through town b to town c?
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[Assistant] 21.4

[User]
the market value of a certain machine decreased by 20 percent of its purchase price each year. if the machine was purchased in 1982 for its market value of $ 8,000, what was its market value two years later?
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[Assistant] $ 4,800

[User]
sum of the squares of 3 no.'s is 267 and the sum of their products taken two at a time is 131. find the sum?
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[Assistant] 23

[User]
the average age of 10 students in a class is 15 years. if the age of teacher is also included, the average becomes 16 years, find the age of the teacher.
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[Assistant] 26

[User]
the maitre'd at an expensive manhattan restaurant has noticed that 60 % of the couples order dessert and coffee. however, 20 % of the couples who order dessert do n't order coffee. what is the probability w that the next couple the maitre'd seats will not order dessert?
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[Assistant] 25 %


[User]
two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 17 kmph and 21 kmph respectively. when they meet, it is found that one train has traveled 60 km more than the other one. the distance between the two stations is?
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[Assistant] 456

[User]
in a college, 70 % of total 100 arts students are locals. 50 % of students from 200 science students are locals and 85 % of total 120 commerce students are locals. what is the total percentage of locals from arts, science and commerce.
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[Assistant] 64.7

[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 ` ` cow ' '?
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[Assistant] 123

[User]
if the population of a certain country increases at the rate of 1 person every 60 seconds, by how many persons does the population increase in 2 hours?
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[Assistant] 120

[User]
a straight line in the xy - plane has y - intercept of 79 and slope of 6. on this line the y - coordinate of the point is 14, then what is the x - coordinate of the point?
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[Assistant] - 10.83


[User]
a waiter's salary consists of his salary and tips. during one week his tips were 3 / 4 of his salary. what fraction of his income came from tips?
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[Assistant] 3 / 7

[User]
if x / y = 9 / 8, then ( 8 x + 7 y ) / ( 8 x â € “ 7 y ) =?
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[Assistant] 8

[User]
a train 140 m long, running with a speed of 63 km / hr will pass a tree in?
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[Assistant] 8 sec

[User]
a person borrows rs. 8000 for 2 years at 4 % p. a. simple interest. he immediately lends it to another person at 6 p. a for 2 years. find his gain in the transaction per year.
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[Assistant] 160 rs

[User]
the ages of two persons differ by 16 years. if 5 years ago, the elder one be 5 times as old as the younger one, their present ages ( in years ) are respectively
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[Assistant] 25,9


[User]
a library branch originally contained 18360 volumes, 30 % of which were fiction novels. 1 / 3 of the volumes were transferred to another location and 1 / 3 of the volumes transferred were fiction novels. what percent of the remaining collection was fiction novels?
Answer the question using a single word or phrase.

[Assistant] 28.3 %

[User]
the distance between 2 cities a and b is 1000 km. a train starts from a at 1 p. m. and travels towards b at 100 km / hr. another starts from b at 2 p. m. and travels towards a at 150 km / hr. at what time do they meet?
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[Assistant] 6 p. m.

[User]
in a certain brick wall, each row of bricks above the bottom row contains one less brick than the row just below it. if there are 5 rows in all and a total of 50 bricks in the wall, how many bricks does the bottom row contain?
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[Assistant] 8

[User]
if 17 ^ 4 * 13 ^ 4 * 9 ^ 4 * 8 ^ 4 = x, what is the units digit of x?
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[Assistant] 6

[User]
mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.25. each pot cost 0.15 more than the next one below it in size. what was the cost, in dollars, of the largest pot?
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[Assistant] $ 1.75


[User]
a pipe can fill a cistern in 66 minutes. find the time in which 1 / 11 part of the cistern will be filled?
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[Assistant] 6 min

[User]
a train crosses a platform of 160 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
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[Assistant] 110

[User]
if a = 1, what is the value of – ( a ^ 2 + a ^ 3 + a ^ 4 + a ^ 5 + a ^ 6 )?
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[Assistant] - 5

[User]
a positive number x is multiplied by 2, and this product is then divided by 5. if the positive square root of the result of these two operations equals x, what is the value of x?
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[Assistant] 3 / 2

[User]
if the number 892, 132,26 x is divisible by 11, what must be the value of x?
Answer the question using a single word or phrase.

[Assistant] 3


[User]
two trains are moving in opposite directions at 60 km / hr and 90 km / hr. their lengths are 1.75 km and 1.10 km respectively. the time taken by the slower train to cross the faster train in seconds is?
Answer the question using a single word or phrase.

[Assistant] 66

[User]
a and b put in rs. 300 and rs. 400 respectively into a business. a reinvests into the business his share of the first year's profit of rs. 210 where as b does not. in what ratio should they divide the second year's profit?
Answer the question using a single word or phrase.

[Assistant] 39 : 40

[User]
tea worth rs. 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2. if the mixture is worth rs. 153 per kg, the price of the third variety per kg will be
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[Assistant] rs. 175.50

[User]
if a and b are integers and ( a * b ) ^ 5 = 144 y, y could be :
Answer the question using a single word or phrase.

[Assistant] 54

[User]
on dividing 23 by a number, the quotient is 4 and the remainder is 3. find the divisor.
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[Assistant] 5


[User]
teas worth rs. 126 per kg and rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. if the mixture is worth rs 156 per kg, the price of the third variety per kg will be?
Answer the question using a single word or phrase.

[Assistant] rs. 178.50

[User]
in a company with 48 employees, some part - time and some full - time, exactly ( 1 / 3 ) of the part - time employees and ( 1 / 4 ) of the full - time employees take the subway to work. what is the greatest possible number of employees who take the subway to work?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
what is the maximum number of pieces of birthday cake of size 3 ” by 3 ” that can be cut from a cake 21 ” by 21 ”?
Answer the question using a single word or phrase.

[Assistant] 49

[User]
in a certain company, the ratio of the number of managers to the number of non - managers in any department must always be greater than 7 : 37. in the company, what is the maximum number of non - managers in a department that has 9 managers?
Answer the question using a single word or phrase.

[Assistant] 47

[User]
a train covers a distance of 12 km in 10 min. if it takes 7 sec to pass a telegraph post, then the length of the train is?
Answer the question using a single word or phrase.

[Assistant] 140 m


[User]
in a class of 78 students 41 are taking french, 22 are taking german. of the students taking french or german, 9 are taking both courses. how many students are not enrolled in either course?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
if ( n + 2 )! / n! = 182, n =?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
in what ratio must tea at rs. 64 per kg be mixed with tea at rs. 74 per kg so that the mixture must be worth rs. 69 per kg?
Answer the question using a single word or phrase.

[Assistant] 1 : 1

[User]
36. a 240 m long train crosses a platform of equal length in 27 s. what is the speed of the train in km / h?
Answer the question using a single word or phrase.

[Assistant] 64

[User]
a, b and c enter into a partnership by investing $ 11000, $ 15000 and $ 23000 respectively. at the end of 8 months, b receives $ 1540 as his share. find the share of a.
Answer the question using a single word or phrase.

[Assistant] $ 1144


[User]
what is the least number of square tiles required to pave the floor of a room 50 m 00 cm long and 11 m 25 cm broad?
Answer the question using a single word or phrase.

[Assistant] 9000

[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 65 liters and they are all empty, how much money total will it cost to fuel all cars?
Answer the question using a single word or phrase.

[Assistant] 528 $

[User]
if the average of 37, 69, 47 and x is 46.5, what is x?
Answer the question using a single word or phrase.

[Assistant] 33

[User]
joe ’ s average ( arithmetic mean ) test score across 4 equally weighted tests was 60. he was allowed to drop his lowest score. after doing so, his average test score improved to 65. what is the lowest test score that was dropped?
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[Assistant] 45

[User]
if the number 992, 132,24 x is divisible by 11, what must be the value of x?
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[Assistant] 0


[User]
in kaya's teacher's desk there are 9 pink highlighters, 8 yellow highlighters, and 5 blue highlighters. how many highlighters are there in all?
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[Assistant] 22

[User]
a metal company's old machine makes bolts at a constant rate of 100 bolts per hour. the company's new machine makes bolts at a constant rate of 150 bolts per hour. if both machines start at the same time and continue making bolts simultaneously, how many minutes will it take the two machines to make a total of 500 bolts?
Answer the question using a single word or phrase.

[Assistant] 120

[User]
the average mark of a class of thirty two students is 75. if 3 students whose marks are 28 and 34 are removed, then find the approximate average mark of the remaining students of the class.
Answer the question using a single word or phrase.

[Assistant] 78

[User]
a can do a piece of work in 6 days, and b can do it in 5 days. if c, who can do the work in 12 days, joins them, how long will they take to complete the work?
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[Assistant] 2.2 days

[User]
the perimeter of a triangle is 39 cm and the inradius of the triangle is 1.5 cm. what is the area of the triangle?
Answer the question using a single word or phrase.

[Assistant] 29


[User]
if the population of a certain country increases at the rate of one person every 15 seconds, by how many persons does the population increase in 1 hour?
Answer the question using a single word or phrase.

[Assistant] 240

[User]
the difference of two numbers is 8 and one - fourth of their sum is 6. find the numbers.
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[Assistant] 16,8

[User]
a retailer bought a shirt at wholesale and marked it up 80 % to its initial price of $ 45. by how many more dollars does he need to increase the price to achieve a 100 % markup?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
indu gave bindu rs. 1250 on compound interest for 2 years at 8 % per annum. how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
the ratio between the length and the breadth of a rectangular park is 1 : 2. if a man cycling along the boundary of the park at the speed of 6 km / hr completes one round in 6 min, then the area of the park ( in sq. m ) is?
Answer the question using a single word or phrase.

[Assistant] 20000 m


[User]
at a certain company, each employee has a salary grade s that is at least 1 and at most 5. each employee receives an hourly wage p, in dollars, determined by the formula p = 7.50 + 0.25 ( s – 1 ). an employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1?
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[Assistant] $ 1.25

[User]
the lateral surface area of cuboid length 12 m, breadth 8 m and height 6 m.
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[Assistant] 240

[User]
running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. at this rate, how many bottles could 12 such machines produce in 4 minutes?
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[Assistant] 2160

[User]
of the 400 employees in a certain company, 25 percent will be relocated to city x and the remaining 75 percent will be relocated to city y. however, 40 percent of the employees prefer city y and 60 percent prefer city x. what is the highest possible number of employees who will be relocated to the city they prefer?
Answer the question using a single word or phrase.

[Assistant] 260

[User]
two friends plan to walk along a 22 - km trail, starting at opposite ends of the trail at the same time. if friend p's rate is 20 % faster than friend q's, how many kilometers will friend p have walked when they pass each other?
Answer the question using a single word or phrase.

[Assistant] 12


[User]
a car traveled 40 % of the way from town x to town y at an average speed of 40 mph. the car traveled at an average speed of v mph for the remaining part of the trip. the average speed for the entire trip was 50 mph. what is v in mph?
Answer the question using a single word or phrase.

[Assistant] 60

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

[Assistant] 31

[User]
bert and rebecca were looking at the price of a condominium. the price of the condominium was 80 % more than bert had in savings, and separately, the same price was also 20 % more than rebecca had in savings. what is the ratio of what bert has in savings to what rebecca has in savings.
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[Assistant] 2 : 3

[User]
of the 1000 inhabitants of a town, 60 % are males of whom 120 % are literate. if, of all the inhabitants, 25 % are literate, then what percent of the females of the town are literate?
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[Assistant] 32.5 %

[User]
if 4 < x < 6 < y < 10, then what is the greatest possible positive integer difference of x and y?
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[Assistant] 5


[User]
a car traveling at a certain constant speed takes 15 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 48 kilometers per hour. at what speed, in kilometers per hour, is the car traveling?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
in a fuel station the service costs $ 1.75 per car, every liter of fuel costs 0.75 $. assuming that a company owns 12 cars and that every fuel tank contains 55 liters and they are all empty, how much money total will it cost to fuel all cars?
Answer the question using a single word or phrase.

[Assistant] 516 $

[User]
the sum of the first n positive perfect squares, where n is a positive integer, is given by the formula n 3 / 3 + cn 2 + n / 6, where c is a constant. what is the sum of the first 15 positive perfect squares?
Answer the question using a single word or phrase.

[Assistant] 1,240

[User]
there are 7 players in a chess group, and each player plays each of the others once. given that each game is played by two players, how many total games will be played?
Answer the question using a single word or phrase.

[Assistant] 21

[User]
in a graduating class of 238 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] 119


[User]
the diagonals of a rhombus are 12 cm and 15 cm. find its area?
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[Assistant] 90

[User]
there are 50 students in a class. if 10 % are absent on a particular day, find the number of students present in the class.
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[Assistant] 45

[User]
the speed at which a woman can row a boat in still water is 300 kmph. if he rows downstream, where the speed of current is 42 kmph, what time will he take to cover 190 metres?
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[Assistant] 2

[User]
the speed of a boat in still water in 42 km / hr and the rate of current is 3 km / hr. the distance travelled downstream in 44 minutes is :
Answer the question using a single word or phrase.

[Assistant] 33 km

[User]
find the total average marks of all the students in 2 separate classes, if the average marks of students in the first class of 39 students is 45 and that of another class of 35 students is 70.
Answer the question using a single word or phrase.

[Assistant] 56.8


[User]
on an order of 4 dozen boxes of a consumer product, a retailer receives an extra dozen free. this is equivalent to allowing him a discount of :
Answer the question using a single word or phrase.

[Assistant] 20 %

[User]
in an examination, 300 students appeared. out of these students ; 27 % 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] 57

[User]
x starts a business with rs. 77000. y joins in the business after 5 months with rs. 42000. what will be the ratio in which they should share the profit at the end of the year?
Answer the question using a single word or phrase.

[Assistant] 22 : 7

[User]
what is the % change in the area of a rectangle when its length increases by 10 % and its width decreases by 10 %?
Answer the question using a single word or phrase.

[Assistant] 1 % decrease

[User]
on a scale of map, 0.6 cm represent 6.6 km. if the distance between the points on the map is 80.5 cm, the actual distance between these points is :
Answer the question using a single word or phrase.

[Assistant] 885.5 km


[User]
there are 9 cities numbered 1 to 9. from how many cities the flight can start so as to reach the city 8 either directly or indirectly such that the path formed is divisible by 3.
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[Assistant] 8

[User]
find the sum lend at c. i. at 5 p. c per annum will amount to rs. 740 in 2 years?
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[Assistant] 671

[User]
what will be the compound interest on a sum of rs. 25,000 after 3 years at the rate of 12 % p. a.?
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[Assistant] rs. 10123.20

[User]
what is the value of 5 x ^ 2 − 1.9 x − 3.7 for x = − 0.3?
Answer the question using a single word or phrase.

[Assistant] − 2.68

[User]
the income of a man increase consistently by 2 % per year. if his present income is rs. 12000 then what will his income be after 1 year?
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[Assistant] 12240


[User]
find the largest 2 digit number which is exactly divisible by 88?
Answer the question using a single word or phrase.

[Assistant] 88

[User]
if greg buys 3 shirts, 6 trousers and 4 ties, the total cost is $ 80. if greg buys 7 shirts, 2 trousers and 4 ties, the total cost is $ 80. how much will it cost him to buy 5 trousers, 4 shirts and 4 ties?
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[Assistant] $ 80

[User]
when a number is divided by 6 & then multiply by 12 the answer is 18 what is the no.?
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[Assistant] 9

[User]
donovan and michael are racing around a circular 400 - meter track. if donovan runs each lap in 48 seconds and michael runs each lap in 40 seconds, how many laps will michael have to complete in order to pass donovan, assuming they start at the same time?
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[Assistant] 6

[User]
a cistern 6 m long and 4 m wide contains water up to a breadth of 1 m 25 cm. find the total area of the wet surface.
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[Assistant] 49 m square


[User]
find the compound interest on $ 15,624 for 9 months at 16 % per annum compounded quarterly.
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[Assistant] $ 1951

[User]
find the probability that a year chosen at random has 53 mondays.
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[Assistant] 5 / 28

[User]
a pair of articles was bought for $ 360 at a discount of 10 %. what must be the marked price of each of the article?
Answer the question using a single word or phrase.

[Assistant] $ 200

[User]
the compound interest earned by sunil on a certain amount at the end of two years at the rate of 8 % p. a. was rs. 2828.80. find the total amount that sunil got back at the end of two years in the form of principal plus interest earned
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[Assistant] 19828.8

[User]
if x ^ 2 + y ^ 2 = 18 and xy = 3, then ( x − y ) ^ 2 =
Answer the question using a single word or phrase.

[Assistant] 12


[User]
the diameter of a garden roller is 1.4 m and it is 2 m long. how much area will it cover in 5 revolutions? ( use π = 22 ⁄ 7 )
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[Assistant] 44 m 2

[User]
what is the dividend. divisor 16, the quotient is 8 and the remainder is 4
Answer the question using a single word or phrase.

[Assistant] 132

[User]
harold and millicent are getting married and need to combine their already - full libraries. if harold, who has 1 / 2 as many books as millicent, brings 1 / 3 of his books to their new home, then millicent will have enough room to bring 1 / 4 of her books to their new home. what fraction of millicent's old library capacity is the new home's library capacity?
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[Assistant] 5 / 12

[User]
if a, b and c together can finish a piece of work in 4 days. a alone in 36 days and b in 18 days, then c alone can do it in?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
in a coconut grove, ( x + 1 ) trees yield 60 nuts per year, x trees yield 120 nuts per year and ( x – 1 ) trees yield 180 nuts per year. if the average yield per year per tree be 100, find x.
Answer the question using a single word or phrase.

[Assistant] 2


[User]
three numbers are in the ratio 3 : 4 : 5 and their l. c. m. is 2400. their h. c. f is?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
a certain no. whendivided by 35 leaves a remainder 25, what is the remainder if the same no. be dividedby 15?
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[Assistant] 4

[User]
. on dividing a number by 357, we get 36 as remainder. on dividing the same number 17, what will be the remainder?
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[Assistant] 2

[User]
there is a point p on the circle. a and b started running in two constant different speeds. a in clockwise and b in anti - clockwise. first time 500 m in clockwise from p then 400 anti - clockwise. if b is yet to complete one round, what is the circumference of the circle?
Answer the question using a single word or phrase.

[Assistant] 700

[User]
carina has 55 ounces of coffee divided into 5 - and 10 - ounce packages. if she has 2 more 5 - ounce packages than 10 - ounce packages, how many 10 - ounce packages does she have?
Answer the question using a single word or phrase.

[Assistant] 3


[User]
tanks a and b are each in the shape of a right circular cylinder. the interior of tank a has a height of 7 meters and a circumference of 8 meters, and the interior of tank b has a height of 8 meters and a circumference of 10 meters. the capacity of tank a is what percent of the capacity of tank b?
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[Assistant] 56 %

[User]
the speed of a subway train is represented by the equation z = s ^ 2 + 2 s for all situations where 0 ≤ s ≤ 7, where z is the rate of speed in kilometers per hour and s is the time in seconds from the moment the train starts moving. in kilometers per hour, how much faster is the subway train moving after 6 seconds than it was moving after 3 seconds?
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[Assistant] 33

[User]
notebooks are sold in packages of 4 or 7 only. if wilson bought 69 notebooks exactly, what could be the number of large packs wilson bought?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
a person lent a certain sum of money at 4 % per annum at simple interest and in 8 years the interest amounted to rs. 340 less than the sum lent. what was the sum lent?
Answer the question using a single word or phrase.

[Assistant] 500

[User]
a total of 40 percent of the geese included in a certain migration study were male. if some of the geese migrated during the study and 20 percent of the migrating geese were male, what was the ratio of the migration rate for the male geese to the migration rate for the female geese? [ migration rate for geese of a certain sex = ( number of geese of that sex migrating ) / ( total number of geese of that sex ) ]
Answer the question using a single word or phrase.

[Assistant] 15 / 40


[User]
a contractor isengaged for 30 days on the condition that he receives rs. 25 for eachday he works & fined rs. 7.50 for each day is absent. he gets rs. 425 in all. for how many days was heabsent?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
a garrison of 2000 men has provisions for 54 days. at the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 30 days more. what is the reinforcement?
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[Assistant] 600 men

[User]
the ages of two person differ by 20 years. if 4 years ago, the elder one be 5 times as old as the younger one, their present ages ( in years ) are respectively
Answer the question using a single word or phrase.

[Assistant] 29, 9

[User]
28 machines can do a work in 10 days. how many machines are needed to complete the work in 40 days?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
sandy buys an old scooter for $ 800 and spends $ 200 on its repairs. if sandy sells the scooter for $ 1400, what is the gain percent?
Answer the question using a single word or phrase.

[Assistant] 40 %


[User]
a jogger running at 9 kmph alongside a railway track in 240 meters ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. in how much time will the train pass the jogger?
Answer the question using a single word or phrase.

[Assistant] 36 seconds

[User]
a woman complete a journey in 15 hours. she travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr. find the total journey in km.
Answer the question using a single word or phrase.

[Assistant] 336 km.

[User]
how many 3 - digit integers exist such that all their digits are odd?
Answer the question using a single word or phrase.

[Assistant] 125

[User]
matt gets a $ 1,300 commission on a big sale. this commission alone raises his average commission by $ 150. if matt's new average commission is $ 400, how many sales has matt made?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
a train speeds past a pole in 15 seconds and a platform 100 meter long in 25 seconds. what is length of the train?
Answer the question using a single word or phrase.

[Assistant] 150 meter


[User]
25 % of 30 % of 45 % is equal to?
Answer the question using a single word or phrase.

[Assistant] 0.03375

[User]
a student reached his school late by 20 mins by travelling at a speed of 9 kmph. if he had travelled at a speed of 12 kmph, he would have reached his school 20 mins early. what is the distance between house and school?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
the sum of four consecutive even numbers is 292. what would be the smallest number?
Answer the question using a single word or phrase.

[Assistant] 70

[User]
a student is ranked 13 th from right and 8 th from left. how many are there?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
how many 4 - digit odd numbers do not use any digit more than once?
Answer the question using a single word or phrase.

[Assistant] 2268


[User]
revenues were recorded for store a and store b over a period of 3 months. in the first month, store a's revenues were $ 12000 higher than store b's revenues. in the second month, store a's revenues were $ 8000 higher than store b's revenues. if store a's average ( arithmetic mean ) monthly revenue for the 3 months was $ 2000 greater than store b's average monthly revenue, then store b's revenue in the third month was how much greater than store a's revenue?
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[Assistant] $ 14,000

[User]
a is older than b by 5 years. 7 years hence, thrice a's age shall be equal to 4 times that of b. find their present ages.
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[Assistant] 13, 8

[User]
three numbers are in the ratio 3 : 4 : 5 and their l. c. m is 2400. their h. c. f is?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
a certain experimental mathematics program was tried out in 2 classes in each of 34 elementary schools and involved 40 teachers. each of the classes had 1 teacher and each of the teachers taught at least 1, but not more than 3, of the classes. if the number of teachers who taught 3 classes is n, then the least and greatest possible values of n, respectively, are
Answer the question using a single word or phrase.

[Assistant] 0 and 14

[User]
nicky and cristina are running a race. since cristina is faster than nicky, she gives him a 48 meter head start. if cristina runs at a pace of 5 meters per second and nicky runs at a pace of only 3 meters per second, how many seconds will nicky have run before cristina catches up to him?
Answer the question using a single word or phrase.

[Assistant] 24 seconds


[User]
a walks at 10 kmph and 6 hours after his start, b cycles after him at 20 kmph. how far from the start does b catch up with a?
Answer the question using a single word or phrase.

[Assistant] 120 km

[User]
how many words, with or without meaning, can be formed using all letters of the word sharp using each letter exactly once?
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[Assistant] 120

[User]
mary works in a restaurant a maximum of 80 hours. for the first 20 hours, she is paid $ 8 per hour. for each overtime hour, she is paid at a rate which is 25 % higher than her regular rate. how much mary can earn in a week?
Answer the question using a single word or phrase.

[Assistant] 760

[User]
if 2 x + y = 4 and x + 2 y = 5, then ( x + y ) / 3 =
Answer the question using a single word or phrase.

[Assistant] 1

[User]
the least number which when increased by 6 each divisible by each one of 24, 32, 36 and 54 is :
Answer the question using a single word or phrase.

[Assistant] 858


[User]
if the sum of the first n positive integers is s, what is the sum of the first n positive integers divisible by 5, in terms of s?
Answer the question using a single word or phrase.

[Assistant] 5 s

[User]
a man can row upstream at 30 kmph and downstream at 60 kmph, and then find the speed of the man in still water?
Answer the question using a single word or phrase.

[Assistant] 45

[User]
if the average ( arithmetic mean ) of 2 a + 16, 3 a - 8 is 94, what is the value of a?
Answer the question using a single word or phrase.

[Assistant] 36

[User]
a group of students was interviewed for that if it was asked whether or not they speak french and / or english. among those who speak french, 10 speak english well, while 40 of them do not speak english. if 75 % of students do not speak french, how many students were surveyed?
Answer the question using a single word or phrase.

[Assistant] 200

[User]
two numbers are in the ratio 3 : 4. if their l. c. m. is 36. what is sum of the numbers?
Answer the question using a single word or phrase.

[Assistant] 21


[User]
in what time will a train 120 m long cross an electric pole, it its speed be 144 km / hr?
Answer the question using a single word or phrase.

[Assistant] 3 sec

[User]
evaluate : 1234562 - 12 * 3 * 2 =?
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[Assistant] 1234554

[User]
33 1 / 3 % of 360?
Answer the question using a single word or phrase.

[Assistant] 120

[User]
what is the area of a square field whose sides have a length of 14 meters?
Answer the question using a single word or phrase.

[Assistant] 196 sq m

[User]
x can do a piece of work in 40 days. he works at it for 8 days and then y finished it in 32 days. how long will y take to complete the work?
Answer the question using a single word or phrase.

[Assistant] 40


[User]
a man traveled a total distance of 1800 km. he traveled one - third of the whole trip by plane and the distance traveled by train is three - fifth of the distance traveled by bus. if he traveled by train, plane and bus, then find the distance traveled by bus?
Answer the question using a single word or phrase.

[Assistant] 270

[User]
if k is a non - negative integer and 12 ^ k is a divisor of 856,736 then 3 ^ k - k ^ 3 =
Answer the question using a single word or phrase.

[Assistant] 1

[User]
a can do a piece of work in 8 days. b can do it in 6 days. with the assistance of c they completed the work in 2 days. find in how many days can c alone do it?
Answer the question using a single word or phrase.

[Assistant] 4.8 days

[User]
a car started running at a speed of 30 km / hr and the speed of the car was increased by 2 km / hr at the end of every hour. find the total distance covered by the car in the first 10 hours of the journey.
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[Assistant] 390 km

[User]
the maximum number of students among them 1230 pens and 920 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
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[Assistant] 10


[User]
the length of a room is 7 m and width is 4.75 m. what is the cost of paying the floor by slabs at the rate of rs. 900 per sq. metre.
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[Assistant] 29925

[User]
a train 110 m long is running with a speed of 27 km / hr. in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going?
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[Assistant] 12 sec

[User]
a, b and c can do a piece of work in 24 days, 30 days and 60 days respectively. they began the work together but c left 4 days before the completion of the work. in how many days was the work completed?
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[Assistant] 11 days

[User]
machine p and machine q are each used to manufacture 550 sprockets. it takes machine p 10 hours longer to produce 550 sprockets than machine q. machine q produces 10 % more sprockets per hour than machine a. how many sprockets per hour does machine a produce?
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[Assistant] 5

[User]
what percent of a day is 7 hours?
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[Assistant] 29.2 %


[User]
if 4 xz + yw = 5 and xw + yz = 10, what is the value of the expression ( 2 x + y ) ( 2 z + w )?
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[Assistant] 25

[User]
rectangular tile each of size 70 cm by 30 cm must be laid horizontally on a rectangular floor of size 110 cm by 130 cm, such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. a tile can be placed in any orientation so long as its edges are parallel to the edges of floor. no tile should overshoot any edge of the floor. the maximum number of tiles that can be accommodated on the floor is :
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[Assistant] 6

[User]
a sum of money is sufficient to pay a's wages for 20 days and b's wages for 30 days. the same money is sufficient to pay the wages of both for?
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[Assistant] 12 days

[User]
a river boat leaves silver town and travels upstream to gold town at an average speed of 6 kilometers per hour. it returns by the same route at an average speed of 8 kilometers per hour. what is the average speed for the round - trip in kilometers per hour?
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[Assistant] 6.8

[User]
a box contains 6 white, 5 red and 8 white marbles. 5 marbles are drawn from the box at random. what is the probability that both the marbles are of the same color?
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[Assistant] 63 / 11628


[User]
105 * 2
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[Assistant] 11025

[User]
what will be the reminder when ( 43 ^ 43 + 43 ) is divided by 44?
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[Assistant] 42

[User]
maxwell leaves his home and walks toward brad's house at the same time that brad leaves his home and runs toward maxwell's house. if the distance between their homes is 40 kilometers, maxwell's walking speed is 4 km / h, and brad's running speed is 6 km / h, what is the distance traveled by brad?
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[Assistant] 24

[User]
the total of 342 of 20 paise and 25 paise make a sum of rs. 71. the no of 20 paise coins is
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[Assistant] 290

[User]
a retailer buys a radio for rs 225. his overhead expenses are rs 15. he sellis the radio for rs 350. the profit percent of the retailer is
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[Assistant] 45.8 %


[User]
a man can row upstream at 35 kmph and downstream at 45 kmph, and then find the speed of the man in still water?
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[Assistant] 40 kmph

[User]
a 220 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. what is the length of the other train?
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[Assistant] 280 m

[User]
if 80 lamps can be lighted 5 hours per day for 10 days for rs. 21.25, then the number of lamps which can be lighted 4 hours daily for 30 days for rs. 76.50, is?
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[Assistant] 120

[User]
in a group of ducks and cows, the total number of legs are 20 more than twice the no. of heads. find the total no. of buffaloes.
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[Assistant] 10

[User]
the average weight of a, b and c is 45 kg. if the average weight of a and b be 40 kg and that of b and c be 41 kg, then the weight of b is :
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[Assistant] 27 kg


[User]
at the a - street fish market a vendor sells fresh caught fish. his store is filled with 2 / 7 bass, 1 / 5 tuna, 1 / 7 trout, and the rest are catfish. if a customer just bought 1 / 7 of all the tuna and 1 / 7 of all the catfish, and a fisherman arrived to restock the bass, doubling the number of bass, what proportion of fish now in the store are trout?
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[Assistant] 5 / 43

[User]
a and b started a business in partnership investing rs. 20000 and rs. 15000 respectively. after 6 months, c joined them with rs. 20000. whatwill be b's share in total profit of rs. 20000 earned at the end of 2 years from the startingof the business?
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[Assistant] s. 6,000

[User]
the product of two positive integers is 323 and their difference is 2. what is the smaller number?
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[Assistant] 17

[User]
an alloy is to contain steel and iron in the ratio 5 : 2. the iron required to be melted with 35 kg of steel is?
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[Assistant] 14 kg

[User]
a man complete a journey in 30 hours. he travels first half of the journey at the rate of 20 km / hr and second half at the rate of 10 km / hr. find the total journey in km.
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[Assistant] 400 km


[User]
a number is doubled and 9 is added. if the resultant is trebled, it becomes 57. what is that number?
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[Assistant] 5

[User]
a room is 5 meters 76 centimeters in length and 4 meters 32 centimeters in width. find the least number of square tiles of equal size required to cover the entire floor of the room.
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[Assistant] 15

[User]
a train sets off at 2 : 00 pm at the speed of 70 km / h. another train starts at 3 : 00 pm in the same direction at the rate of 80 km / h. at what time will the second train catch the first train?
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[Assistant] 10 : 00

[User]
a boat can travel with a speed of 15 km / hr in still water. if the speed of the stream is 5 km / hr. find the time taken by the boat to go 68 km downstream?
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[Assistant] 3 hours 24 minutes

[User]
mark and ann together were allocated n boxes of cookies to sell for a club project. mark sold 9 boxes less than n and ann sold 2 boxes less than n. if mark and ann have each sold at least one box of cookies, but together they have sold less than n boxes, what is the value of n?
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[Assistant] 10


[User]
135 liters of a mixture of milk and water contains in the ratio 3 : 2. how much water should now be added so that the ratio of milk and water becomes 3 : 4?
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[Assistant] 54 liters

[User]
17 times a positive integer is more than its square by 60, then the positive integer is
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[Assistant] 5

[User]
a certain junior class has 1000 students and a certain senior class has 800 students. among these students, there are 40 siblings pairs each consisting of 1 junior and 1 senior. if 1 student is to be selected at random from each class, what is the probability that the 2 students selected will be a sibling pair?
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[Assistant] 1 / 20000

[User]
a card is drawn from a pack of 52 cards. the probability of getting a queen of club or a king of heart is
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[Assistant] 1 / 26

[User]
the height of the wall is 6 times its width and length of the wall is 7 times its height. if the volume of the wall be 6804 cu. m. its width is
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[Assistant] 3 m


[User]
90 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. find the smallest part?
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[Assistant] 35

[User]
a train running at 1 / 3 of its own speed reached a place in 9 hours. how much time could be saved if the train would have run at its own speed?
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[Assistant] 6 hrs

[User]
the radius of a semi circle is 7 cm then its perimeter is?
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[Assistant] 36

[User]
two persons raj and ramu started working for a company in similar jobs on january 1, 1991. raj's initial monthly salary was rs 400, which increases by rs 40 after every year. ramu's initial monthly salary was rs 500 which increases by rs 20 after every 6 months. if these arrangements continue till december 31, 200. find the total salary they received during that period.
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[Assistant] rs 152400

[User]
at a certain college, 80 percent of the total number of students are freshmen. if 60 percent of the fresh - men are enrolled in the school of liberal arts and, of these, 50 percent are psychology majors, what percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?
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[Assistant] 24 %


[User]
difference of two numbers is 1670. if 7.5 % of the number is 12.5 % of the other number, find the number?
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[Assistant] 2505, 4175

[User]
the ratio of flour to water to sugar in a recipe is 11 : 8 : 1. the ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. if the new recipe calls for 4 cups of water, how much sugar is required?
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[Assistant] 2

[User]
craig sells major appliances. for each appliance he sells, craig receives a commission of $ 50 plus 10 percent of the selling price. during one particular week craig sold 6 appliances for selling prices totaling $ 3620. what was the total of craig's commissions for that week?
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[Assistant] $ 662

[User]
if 8 ^ x = 2 ^ 9, what is x?
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[Assistant] 3

[User]
a certain list consists of 21 different numbers. if n is in the list and n is 3 times the average ( arithmetic mean ) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list?
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[Assistant] 3 / 23


[User]
i chose a number and divide it by 8. then i subtracted 100 from the result and got 6. what was the number i chose?
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[Assistant] 848

[User]
the population of a bacteria colony doubles every day. if it was started 7 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?
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[Assistant] 256

[User]
light glows for every 32 seconds. how many max. times did it glow between 1 : 57 : 58 and 3 : 20 : 47 am.
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[Assistant] 155 times

[User]
a can copy 50 papers in 10 hrs, while a & b can copy 70 papers in 10 hrs. how many hours are required for b to copy 26 papers?
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[Assistant] 13 hours

[User]
45 % of 816 - 23 % of? = 240.7
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[Assistant] 550


[User]
two trains 120 m and 190 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time which they take to cross each other is?
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[Assistant] 11.6 sec

[User]
krishan and nandan jointly started a business. krishan invested 4 times as nandan did and invested his money for trible time as compared to nandan. if the gain is proportional to the money invested and the time for which the money is invested and the total gain was rs. 26000, find the nandan's earning.
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[Assistant] 2000

[User]
what is the 21 th digit to the right of the decimal point in the decimal expansion of 1 / 37?
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[Assistant] 7

[User]
two brothers ram and ravi appeared for an exam. the probability of selection of ram is 2 / 7 and that of ravi is 1 / 5. find the probability that both of them are selected.
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[Assistant] 2 / 35

[User]
if a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet, what is the length of each of the longer sides?
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[Assistant] 13


[User]
a cricket bat is sold for $ 900, making a profit of $ 75. the profit percentage would be
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[Assistant] 9 %

[User]
if 4 ^ ( 2 x + 2 ) = 16 ^ ( 3 x − 1 ), what is the value of x?
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[Assistant] 1

[User]
the product of three consecutive numbers is 720. then the sum of the smallest two numbers is?
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[Assistant] 17

[User]
you collect pens. suppose you start out with 25. mike gives you another 22 pens. since her father makes pens, cindy decides to double your pens. since you're nice, you give sharon 19 pens. how many pens do you have at the end?
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[Assistant] 75

[User]
the population of a town increased from 1, 45,000 to 2, 30,500 in a decade. the average percent increase of population per year is :
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[Assistant] 5.8 %


[User]
in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. in the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. if a large bottle of the sport formulation contains 1 ounces of corn syrup, how many ounces of water does it contain?
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[Assistant] 15

[User]
in a certain animal shelter, the ratio of the number of dogs to the number of cats is 15 to 7. if 8 additional cats were to be taken in by the shelter, the ratio of the number of dogs to the number of cats would be 15 to 11. how many dogs are in the shelter?
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[Assistant] 30

[User]
the number 523 fbc is divisible by 7, 89. then what is the value of f * b * c
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[Assistant] 180

[User]
the toll t, in dollars, for a truck using a certain bridge is given by the formula t = 1.50 + 0.50 ( x − 2 ), where x is the number of axles on the truck. what is the toll for an 18 - wheel truck that has 2 wheels on its front axle and 2 wheels on each of its other axles?
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[Assistant] $ 5.00

[User]
indu gave bindu rs. 5000 on compound interest for 2 years at 4 % per annum. how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest?
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[Assistant] 8


[User]
a sum of money at simple interest amounts to $ 700 in 3 years and to $ 764 in 4 years. the sum is :
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[Assistant] $ 508

[User]
how many factors does 34 ^ 2 have?
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[Assistant] 20

[User]
how many positive integers between 1 and 100 are there such that they are multiples of 15?
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[Assistant] 6

[User]
a man walking at a rate of 10 km / hr crosses a bridge in 3 minutes. the length of the bridge is?
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[Assistant] 500

[User]
how many paying stones, each measuring 3 * 2 m are required to pave a rectangular court yard 15 m long and 6 m board?
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[Assistant] 15


[User]
on a partly cloudy day, derek decides to walk back from work. when it is sunny, he walks at a speed of s miles / hr ( s is an integer ) and when it gets cloudy, he increases his speed to ( s + 1 ) miles / hr. if his average speed for the entire distance is 2.8 miles / hr, what fraction w of the total distance did he cover while the sun was shining on him?
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[Assistant] 1 / 7

[User]
what number has a 15 : 1 ratio to the number 10?
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[Assistant] 150

[User]
if a and b are positive integers and ( 2 ^ a ) ^ b = 2 ^ 7, what is the value of 2 ^ a * 2 ^ b?
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[Assistant] 256

[User]
a man is 30 years older than his son. in four years, his age will be twice the age of his son. the present age of this son is
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[Assistant] 26 years

[User]
the sum of the fourth and twelfth term of an arithmetic progression is 20. what is the sum of the first 17 terms of the arithmetic progression?
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[Assistant] 170


[User]
a man invests rs. 4,000 at the rate of 5 % per annum. how much more should he invest at the rate of 8 %, so that he can earn a total of 6 % per annum?
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[Assistant] rs. 2000

[User]
a cab driver 5 days income was $ 400, $ 250, $ 650, $ 400, $ 500. then his average income is?
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[Assistant] $ 440

[User]
calculate the time it will take for a train that is 120 meter long to pass a bridge of 160 meter length, if the speed of the train is 40 km / hour?
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[Assistant] 25.2 seconds

[User]
the banker's gain on a sum due 6 years hence at 12 % per annum is rs. 540. what is the banker's discount?
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[Assistant] 1290

[User]
if the difference between the length and breadth of a rectangle is 23 m and its perimeter is 246 m, what is its area?
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[Assistant] 3650


[User]
a and b can together finish a work in 30 days. they worked together for 20 days and then b left. after another 20 days, a finished the remaining work. in how many days a alone can finish the job?
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[Assistant] 60

[User]
how many numbers between 190 and 580 are divisible by 4,5 and 6?
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[Assistant] 6

[User]
a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 24 sec. what is the length of the platform?
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[Assistant] 187.5 m

[User]
what percent is 3 % of 5 %?
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[Assistant] 60 %

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


[User]
kamal obtained 76, 60, 82, 67 and 85 marks ( out of 100 ) in english, mathematics, physics, chemistry and biology. what are his average marks?
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[Assistant] 74

[User]
a train covers a distance of 12 km in 10 min. if it takes 16 sec to pass a telegraph post, then the length of the train is?
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[Assistant] 320 m

[User]
if 12 men and 16 boys can do a piece of work in 5 days and 13 men together will 24 boys can do it in 4 days. compare the daily work done by a man with that of a boy.
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[Assistant] 2 : 1

[User]
what least value should be replaced by * in 223 * 431 so the number become divisible by 9
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[Assistant] 3

[User]
the cost price of a radio is rs. 1340 and it was sold for rs. 1210, find the loss %?
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[Assistant] 9 %


[User]
the probability that a number selected at random from the first 50 natural numbers is a composite number is?
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[Assistant] 17 / 25

[User]
if x : y = 4 : 7, find the value of ( 6 x + 2 y ) : ( 5 x – y )
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[Assistant] 38 : 13

[User]
ritesh and co. generated revenue of rs. 2,500 in 2006. this was 12.5 % of its gross revenue. in 2007, the gross revenue grew by rs. 2,500. what is the percentage increase in the revenue in 2007?
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[Assistant] 12.5 %

[User]
according to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice. how many 15 - ounce cans of the concentrate are required to prepare 200 6 - ounce servings of orange juice?
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[Assistant] 20

[User]
the difference between compound interest and simple interest on an amount of $ 15,000 for 2 years is $ 96. what is the rate of interest per annum?
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[Assistant] 8 %


[User]
if x + y = 14, x - y = 60, for integers of x and y, x =?
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[Assistant] 37

[User]
if in a race of 100 m, a covers the distance in 20 seconds and b in 25 seconds, then a beats b by :
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[Assistant] 20 m

[User]
the speed of a car is 90 km in the first hour and 30 km in the second hour. what is the average speed of the car?
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[Assistant] 60 kmph

[User]
suzie ’ s discount footwear sells all pairs of shoes for one price and all pairs of boots for another price. on monday the store sold 22 pairs of shoes and 16 pairs of boots for $ 580. on tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $ 800. how much more do pairs of boots cost than pairs of shoes at suzie ’ s discount footwear?
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[Assistant] $ 12.50

[User]
the speed of a boat in still water in 65 km / hr and the rate of current is 15 km / hr. the distance travelled downstream in 25 minutes is :
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[Assistant] 33.33 km


[User]
( √ 27 + √ 243 ) / √ 48 =?
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[Assistant] 3

[User]
two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. when they meet, it is found that one train has traveled 60 km more than the other one. the distance between the two stations is?
Answer the question using a single word or phrase.

[Assistant] 444

[User]
you hold some gold in a vault as an investment. over the past year the price of gold increases by 50 %. in order to keep your gold in the vault, you must pay 8 % of the total value of the gold per year. what percentage has the value of your holdings changed by over the past year.
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[Assistant] 38 %

[User]
18 litres of mixture contains 20 % alcohol and the rest water. if 3 litres of water be mixed with it, the percentage of alcohol in the new mixture would be?
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[Assistant] 17.14 %

[User]
in a certain company, the ratio of male to female employees is 7 : 8. if 3 more men were hired, this ratio would increase to 8 : 9. how many male employees are there in the company?
Answer the question using a single word or phrase.

[Assistant] 189


[User]
a guy was asked to specify his age in years. he said, “ take my age 5 years hence, multiply it by 5 and subtract 5 times of my age 5 years ago and you will know my age. ” what was the age of that guy?
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[Assistant] 50

[User]
of 60 children, 30 are happy, 10 are sad, and 20 are neither happy nor sad. there are 17 boys and 43 girls. if there are 6 happy boys and 4 sad girls, how many boys are neither happy nor sad?
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[Assistant] 5

[User]
ram, who is half as efficient as krish, will take 27 days to complete a task if he worked alone. if ram and krish worked together, how long will they take to complete the task?
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[Assistant] 9 days

[User]
what is the compound interest on rs : 60,000 for 4 months at the rate of 5 % per annum
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[Assistant] 1006.13

[User]
two persons a and b can complete a piece of work in 40 days and 60 days respectively. if they work together, what part of the work will be completed in 6 days?
Answer the question using a single word or phrase.

[Assistant] 1 / 4


[User]
at what price must an article costing rs. 95 be marked in order that after deducting 5 % from the list price. it may be sold at a profit of 25 % on the cost price?
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[Assistant] 125

[User]
a “ sophie germain ” prime is any positive prime number p for which 2 p + 1 is also prime. the product of all the possible units digits of sophie germain primes greater than 9 is
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[Assistant] 189

[User]
a man performs 1 / 2 of the total journey by rail, 1 / 3 by bus and the remaining 3 km on foot. his total journey is
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[Assistant] 18 km

[User]
the sum of all consecutive odd integers from − 27 to 37, inclusive, is
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[Assistant] 165

[User]
if 20 % of a number is equal to one - third of another number, what is the ratio of first number to the second number?
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[Assistant] 5 : 3


[User]
a person travels from p to q a speed of 60 km / hr and returns by increasing his speed by 50 %. what is his average speed for both the trips?
Answer the question using a single word or phrase.

[Assistant] 75

[User]
( 1.1 + 1.1 + 1.1 + 1.1 ) x 1.1 x 1.1 =? =? x 0.121
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[Assistant] 44

[User]
how much is 85 % of 40 is greater than 4 / 5 of 25?
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[Assistant] 14

[User]
( 23341379 x 72 ) =?
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[Assistant] 1680579288

[User]
in a fuel station the service costs $ 2.10 per vehicle and every liter of fuel costs $ 0.70. assuming that you fill up 3 mini - vans and 2 trucks, what will be the total cost, if a mini - van's tank is 65 liters and a truck's tank is 120 % bigger and they are all empty?
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[Assistant] $ 347.20


[User]
following an increase in prices, the price of a candy box was 10 pounds and the price of a can of soda was 15 pounds. if the price of a candy box was raised by 25 %, and the price of a can of soda was raised by 50 %. what was the price of a box of candy plus a can of soda before prices were raised?
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[Assistant] 18.

[User]
the population of a bacteria colony doubles every day. if it was started 9 days ago with 2 bacteria and each bacteria lives for 11 days, how large is the colony today?
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[Assistant] 1024

[User]
in how many ways can an answer key for a quiz be written if the quiz contains 4 true - false questions followed by 2 multiples - choice questions with 4 answer choices each, if the correct answers to all true - false questions can not be the same?
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[Assistant] 224

[User]
in what time will a train 135 m long cross an electric pole, it its speed be 140 km / hr?
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[Assistant] 3.5

[User]
a man buys a cycle for rs. 1200 and sells it at a loss of 10 %. what is the selling price of the cycle?
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[Assistant] s. 1080


[User]
the average age of 30 students in a class is 14 years. if the age of teacher is also included, the average becomes 15 years, find the age of the teacher.
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[Assistant] 45

[User]
john and lewis leave city a for city b simultaneously at 6 a. m in the morning driving in two cars at speeds of 40 mph and 60 mph respectively. as soon as lewis reaches city b, he returns back to city a along the same route and meets john on the way back. if the distance between the two cities is 240 miles, how far from city a did john and lewis meet?
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[Assistant] 160 miles

[User]
a salesman â € ™ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs. 1000 plus 2.5 % commission on all sales exceeding rs. 4000. if his remuneration as per new scheme was rs. 700 more than that by the previous schema, his sales were worth?
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[Assistant] s. 8,000

[User]
the average weight of 8 persons increases by 3 kg when a new person comes in place of one of them weighing 65 kg. what might be the weight of the new person?
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[Assistant] 89 kg

[User]
in a village of 100 households, 85 have at least one dvd player, 90 have at least one cell phone, and 55 have at least one mp 3 player. if x and y are respectively the greatest and lowest possible number of households that have all 3 of these devices, x – y is :
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[Assistant] 25


[User]
of the diplomats attending a summit conference, 14 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] 180

[User]
in a certain pond, 80 fish were caught, tagged, and returned to the pond. a few days later, 80 fish were caught again, of which 2 were found to have been tagged. if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what ` s the approximate number of fish in the pond?
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[Assistant] 3200

[User]
the cost price of an article is 25 % of the marked price. calculate the gain percent after allowing a discount of 50 %.
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[Assistant] 100 %

[User]
the total marks obtained by a student in mathematics and physics is 40 and his score in chemistry is 20 marks more than that in physics. find the average marks scored in mathamatics and chemistry together.
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[Assistant] 30

[User]
a light flashes every 20 seconds, how many times will it flash in? of an hour?
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[Assistant] 180


[User]
the cost of 3 pens and 5 pencils is rs. 240. also the cost of one pen and one pencil is in the ratio of 5 : 1 respectively. what is the cost of one dozen pens?
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[Assistant] rs. 720

[User]
the regular price per can of a certain brand of soda is $ 0.55. if the regular price per can is discounted 25 percent when the soda is purchased in 24 - can cases, what is the price of 70 cans of this brand of soda purchased in 24 - can cases?
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[Assistant] $ 28.87

[User]
the ratio between the number of sheep and the number of horses at the stewart farm is 2 to 7, if each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day, what is the number of sheep in the farm?
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[Assistant] 16

[User]
the average monthly salary of 20 employees in an organisation is rs. 1500. if the manager's salary is added, then the average salary increases by rs. 100. what is the manager's monthly salary?
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[Assistant] 3600

[User]
a call center has two teams. each member of team a was able to process 6 / 5 calls as compared to each member of team b. if team a has 5 / 8 as many number of call center agents as team b, what fraction of the total calls was processed by team b?
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[Assistant] 4 / 7


[User]
after decreasing 24 % in the price of an article costs rs. 1064. find the actual cost of an article?
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[Assistant] 1400

[User]
a metallic sheet is of rectangular shape with dimensions 48 m x 36 m. from each of its corners, a square is cut off so as to make an open box. if the length of the square is 8 m, the volume of the box ( in m 3 ) is :
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[Assistant] 5120

[User]
if 2 / z = 2 / ( z + 1 ) + 2 / ( z + 36 ) which of these integers could be the value of z?
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[Assistant] 6

[User]
girl and boy together can complete a piece of work in 35 days while girl alone can complete the same work in 60 days. boy alone will be able to complete the same working in :
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[Assistant] 75

[User]
what is 15 percent of 34
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[Assistant] 5.1


[User]
rs. 2500 is divided into two parts such that if one part be put out at 5 % simple interest and the other at 6 %, the yearly annual income may be rs. 140. how much was lent at 5 %?
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[Assistant] 1000

[User]
the difference between the local value and the face value of 7 in the numeral 32675149 is?
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[Assistant] 69993

[User]
the average ( arithmetic mean ) of the 5 positive integers k, m, r, s, and t is 16, and k < m < r < s < t. if t is 42, what is the greatest possible value of the median of the 5 integers?
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[Assistant] 17

[User]
a rectangular field has a length 10 meters more than it is width. if the area of the field is 231, what is the length ( in meters ) of the rectangular field?
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[Assistant] 21

[User]
a cycle is bought for rs. 600 and sold for rs. 1080, find the gain percent?
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[Assistant] 80


[User]
how many integers are between 3 and 86 / 7, inclusive?
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[Assistant] 10

[User]
a man goes downstream at 15 kmph, and upstream 8 kmph. the speed of the stream is
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[Assistant] 3.5 kmph

[User]
if 12 people contributed a total of $ 20.00 toward a gift and each of them contributed at least $ 1.00, then the maximum possible amount any one person could have contributed is
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[Assistant] $ 9.00

[User]
the diagonals of a rhombus are 12 cm and 20 cm. find its area?
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[Assistant] 120

[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 $ 76,875, how much profit did the business make?
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[Assistant] $ 123,000


[User]
a and b can do a piece of work in 40 days and 40 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] 30 days

[User]
in the first 10 overs of a cricket game, the run rate was only 3.2. what should be the run rate in the remaining 20 overs to reach the target of 282 runs?
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[Assistant] 12.5

[User]
a car dealership has 40 cars on the lot, 30 % of which are silver. if the dealership receives a new shipment of 80 cars, 40 % of which are not silver, what percentage of total number of cars are silver?
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[Assistant] 50 %

[User]
a person walks at a speed of 4 km / hr and runs at a speed of 8 km / hr. how many hours will the person require to cover a distance of 12 km, if the person completes half of the distance by walking and the other half by running?
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[Assistant] 2.25

[User]
the total number of plums that grow during each year on a certain plum tree is equal to the number of plums that grew during the previous year, less the age of the tree in years ( rounded down to the nearest integer ). during its 5 th year, the plum tree grew 50 plums. if this trend continues, how many plums will it grow during its 6 th year?
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[Assistant] 45


[User]
in what ratio must rice of rs. 32 per kg be mixed with rice of rs. 42 per kg so that cost of mixture is rs. 20 per kg?
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[Assistant] 11 : 6

[User]
in a lottery there are 10 prizes and 25 blanks. a lottery is drawn at random. what is the probability of getting a prize?
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[Assistant] 2 / 7

[User]
an equilateral triangle t 2 is formed by joining the mid points of the sides of another equilateral triangle t 1. a third equilateral triangle t 3 is formed by joining the mid - points of t 2 and this process is continued indefinitely. if each side of t 1 is 80 cm, find the sum of the perimeters of all the triangles.
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[Assistant] 480 cm

[User]
if 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n = 4 ^ 26, then n =
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[Assistant] 25

[User]
john makes $ 60 a week from his job. he earns a raise and now makes $ 110 a week. what is the % increase?
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[Assistant] 83.33 %


[User]
a certain number of workers can do a work in 35 days. if there were 10 workers more it could be finished in 10 days less. how many workers are there?
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[Assistant] 25

[User]
in the formula a = ( 2 r ) ^ 3, if r is halved, then a is multiplied by?
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[Assistant] 1 / 8

[User]
the value of a machine depreciates at 20 % per annum. if its present value is rs. 1, 50,000, at what price should it be sold after two years such that a profit of rs. 22,000 is made?
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[Assistant] 118000

[User]
a cycle is bought for rs. 900 and sold for rs. 1180, find the gain percent?
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[Assistant] 31

[User]
all the students of class are told to sit in circle shape. here the boy at the 8 th position is exactly opposite to 33 th boy. total number of boys in the class?
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[Assistant] 50