[User]
a technician makes a round - trip to and from a certain service center by the same route. if the technician completes the drive to the center and then completes 30 percent of the drive from the center, what percent of the round - trip has the technician completed?
Answer the question using a single word or phrase.

[Assistant] 65

[User]
if x + | x | + y = 7 and x + | y | - y = 6, then x + y =
Answer the question using a single word or phrase.

[Assistant] 3

[User]
a 300 meter long train crosses a platform in 45 seconds while it crosses a signal pole in 18 seconds. what is the length of the platform?
Answer the question using a single word or phrase.

[Assistant] 450

[User]
the ratio between the number of sheep and the number of horses at the stewart farm is 3 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?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
one day a car rental agency rented 3 / 4 of its cars, including 4 / 5 of its cars with cd players. if 3 / 5 of its cars have cd players, what percent of the cars that were not rented had cd players?
Answer the question using a single word or phrase.

[Assistant] 12 / 25


[User]
if a ( k ) = ( k + 1 ) ^ 2, and k = 1, what is the value of a ( a ( a ( a ( k ) ) ) )?
Answer the question using a single word or phrase.

[Assistant] 458329

[User]
from the beginning to the end of 2007, the price of a stock rose 20 percent. in 2008, it dropped 25 percent. in 2009, it rose 20 percent. what percent of the stock ’ s 2007 starting price was the price of the stock at the end of 2009?
Answer the question using a single word or phrase.

[Assistant] 108

[User]
a 8 % stock yields 20 %. the market value of the stock is :
Answer the question using a single word or phrase.

[Assistant] rs 40

[User]
the difference between a number and its two fifth is 510. what is 10 % of that number?
Answer the question using a single word or phrase.

[Assistant] 85

[User]
in a certain accounting class of 100 students, 70 % of the students took the final exam on the assigned day while the rest of the students took the exam on a make - up date. if the students on the assigned day had an average score of 65 %, and the students on the make - up date had an average score of 95 %, what was the average score for the entire class?
Answer the question using a single word or phrase.

[Assistant] 74 %


[User]
the maximum number of student amoung them 1020 pens and 860 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
Answer the question using a single word or phrase.

[Assistant] 20

[User]
count the numbers between 10 - 99 which yield a remainder of 3 when divided by 9 and also yield a remainder of 2 when divided by 5?
Answer the question using a single word or phrase.

[Assistant] two

[User]
there were totally 100 men. 80 are married. 75 have t. v, 85 have radio, 70 have a. c. how many men have t. v, radio, a. c and also married?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
a boy wanted to calculate his speed on his bike. his starting point was 350 meters from the turning point. he made the round trip 5 times in 30 minutes. what was the boy's speed in kilometers per hour?
Answer the question using a single word or phrase.

[Assistant] 1.75

[User]
if it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 222 responses are needed, what is the minimum number of questionnaires that should be mailed?
Answer the question using a single word or phrase.

[Assistant] 370


[User]
to deliver an order on time, a company has to make 25 parts a day. after making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced. how many parts the company made?
Answer the question using a single word or phrase.

[Assistant] 675

[User]
what annual installment will discharge a debt of rs. 1092 due in 3 years at 12 % simple interest?
Answer the question using a single word or phrase.

[Assistant] 442

[User]
how many integerskgreater than 100 and less than 1100 are there such that if the hundreds and the units digits ofkare reversed, the resulting integer is k + 99?
Answer the question using a single word or phrase.

[Assistant] 90

[User]
sandy walked 20 meters towards south. then sandy turned to her left and walked 20 meters. she then turned to her left and walked 20 meters. she then turned to her right and walked 10 meters. what distance is she from the starting point and in which direction?
Answer the question using a single word or phrase.

[Assistant] 30 m east

[User]
income and expenditure of a person are in the ratio 3 : 2. if the income of the person is rs. 21000, then find his savings?
Answer the question using a single word or phrase.

[Assistant] 7000


[User]
in how many ways 4 boys and 3 girls can be seated in a row so that they are alternate.
Answer the question using a single word or phrase.

[Assistant] 144

[User]
the ratio of the radius of two circles is 4 : 3, and then the ratio of their areas is?
Answer the question using a single word or phrase.

[Assistant] 16 : 9

[User]
in a function, every person shakes hand with every other person. if there was a total of 28 handshakes in the function, how many persons were present in the function?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
3 * 16 + 3 * 17 + 3 * 20 + 11 =?
Answer the question using a single word or phrase.

[Assistant] 170

[User]
if x = - 2 and y = - 4, what is the value of 5 ( x - y ) ^ 2 - xy?
Answer the question using a single word or phrase.

[Assistant] 12


[User]
on the number line, if x is halfway between - 8 and 4, and if y is halfway between - 4 and 6, what number is halfway between x and y?
Answer the question using a single word or phrase.

[Assistant] - 0.5

[User]
a train speeds past a pole in 15 sec and a platform 120 m long in 25 sec, its length is?
Answer the question using a single word or phrase.

[Assistant] 180

[User]
a library has an average of 660 visitors on sundays and 240 on other days. the average number of visitors per day in a month of 30 days beginning with a sunday is :
Answer the question using a single word or phrase.

[Assistant] 310

[User]
mr. riddle invested in fund x and fund y. the total amount she invested, in both funds combined, was $ 200000. in one year, fund x paid 43 % and fund y paid 28 %. the interest earned in fund y was exactly $ 200 greater than the interest earned in fund x. how much did ms. tom invest in fund x?
Answer the question using a single word or phrase.

[Assistant] 78, 450.70

[User]
at the faculty of aerospace engineering, 312 students study random - processing methods, 232 students study scramjet rocket engines and 114 students study them both. if every student in the faculty has to study one of the two subjects, how many students are there in the faculty of aerospace engineering?
Answer the question using a single word or phrase.

[Assistant] 430


[User]
two boats are heading towards each other at constant speeds of 5 miles / hr and 25 miles / hr respectively. they begin at a distance 20 miles from each other. how far are they ( in miles ) one minute before they collide?
Answer the question using a single word or phrase.

[Assistant] 1 / 2

[User]
excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 32 kmph. of how many minutes does the train stop per hour?
Answer the question using a single word or phrase.

[Assistant] 17

[User]
a and b together can do a piece of work in 8 days. if a alone can do the same work in 12 days, then b alone can do the same work in?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
company z has 48 employees. if the number of employees having birthdays on wednesday is more than the number of employees having birthdays on any other day of the week, each of which have same number of birth - days, what is the minimum number of employees having birthdays on wednesday.
Answer the question using a single word or phrase.

[Assistant] 12

[User]
in a fuel station the service costs $ 2.05 per car, every liter of fuel costs 0.6 $. assuming that you fill up 3 mini - vans and 2 trucks, how much money will the fuel cost to all the cars owners total, if a mini - van's tank is 65 liters and a truck's tank is 120 % bigger and they are all empty -?
Answer the question using a single word or phrase.

[Assistant] 298.85 $


[User]
a two - digit number is such that the product of the digits is 8. when 18 is added to the number, then the digits are reversed. the number is :
Answer the question using a single word or phrase.

[Assistant] 24

[User]
by selling 95 pens, a trader gains the cost of 19 pens. find his gain percentage?
Answer the question using a single word or phrase.

[Assistant] 20 %

[User]
there are 193 items that are members of set u. of these items, 41 are members of set b, 59 are not members of either of set a or set b, and 23 are members of both sets a and b. how many of the members of set u are members of set a?
Answer the question using a single word or phrase.

[Assistant] 116

[User]
a machine can filled a tank in 25 minutes and another machine can empty it in 50 minutes. if the tank is already half full and both the taps are opened together, then the tank is filled in how many minutes?
Answer the question using a single word or phrase.

[Assistant] 25 min

[User]
a hall 36 m long and 15 m broad is to be paved with stones, each measuring 8 dm by 5 dm. the number of stones required is :
Answer the question using a single word or phrase.

[Assistant] 1350


[User]
at company x, senior sales representatives visit the home office once every 16 days, and junior sales representatives visit the home office once every 12 days. the number of visits that a junior sales representative makes in a 2 - year period is approximately what percent greater than the number of visits that a senior representative makes in the same period?
Answer the question using a single word or phrase.

[Assistant] 33 %

[User]
in n is a positive integer less than 200, and 14 n / 60 is an integer, then n has how many different positive prime factors q?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
the two lines y = x and x = - 9 intersect on the coordinate plane. what is the value of the area of the figure formed by the intersecting lines and the x - axis?
Answer the question using a single word or phrase.

[Assistant] 40.5

[User]
at a certain food stand, the price of each apple is 40 ¢ and the price of each orange is 60 ¢. mary selects a total of 10 apples and oranges from the food stand, and the average ( arithmetic mean ) price of the 10 pieces of fruit is 54 ¢. how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 50 ¢?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
a store has 10 bottles of juice, including 5 bottles of apple juice. in the evening, 6 bottles of juice are sold one by one. what is the probability of selling 4 bottles of apple juice among the 6 bottles? assume that every bottle has an equal chance of being bought.
Answer the question using a single word or phrase.

[Assistant] 5 / 21


[User]
a student got 71 % in math and 81 % in history. to get an overall average of 75 %, how much should the student get in the third subject?
Answer the question using a single word or phrase.

[Assistant] 63 %

[User]
m and n are the x and y coordinates, respectively, of a point in the coordinate plane. if the points ( m, n ) and ( m + p, n + 9 ) both lie on the line defined by the equation x = ( y / 3 ) - ( 2 / 5 ), what is the value of p?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
at an international conference, “ red ” world countries and “ blue ” world countries are the only participants. the ratio of “ red ” world participants to “ blue ” world participants is 5 : 5. if one - third of “ red ” world participants are left - handed and two - thirds of “ blue ” world participants are left - handed, then what is the fraction of the participants who are left - handed?
Answer the question using a single word or phrase.

[Assistant] 1 / 2

[User]
what is the remainder when 42 * 49 is divided by 8?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
1 + 2 + 3 +... + 12 =?
Answer the question using a single word or phrase.

[Assistant] 78


[User]
the largest 4 digit number exactly divisible by 77 is?
Answer the question using a single word or phrase.

[Assistant] 9933

[User]
a room of 6 m 44 cm long and 3 m 00 cm broad is to be paved with square tiles. find the least number of square tiles required to cover the floor.
Answer the question using a single word or phrase.

[Assistant] 12075

[User]
7 people average age is 30. youngest person age is 6. find average of the people when youngest was born.
Answer the question using a single word or phrase.

[Assistant] 24

[User]
if 4 men can reap 40 acres of land in 15 days, how many acres of land can 16 men reap in 30 days?
Answer the question using a single word or phrase.

[Assistant] 320

[User]
in the excel manufacturing company, 46 percent of the employees are men. if 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non - union employees are women?
Answer the question using a single word or phrase.

[Assistant] 90 %


[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 / 4 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] 32.5 %

[User]
a man was asked to state his age in years. his reply was, ` ` take my age 6 years hence, multiply it by 6 and subtract 6 times my age 6 years ago and you will know how old i am. ''what was the age of the person?
Answer the question using a single word or phrase.

[Assistant] 72

[User]
if the average ( arithmetic mean ) of x and y is 40, and z – x = 60, what is the average of y and z?
Answer the question using a single word or phrase.

[Assistant] 70

[User]
find the simple interest on rs. 235 for 3 months at 8 paisa per month?
Answer the question using a single word or phrase.

[Assistant] s. 56.4

[User]
a, b and c started a business with capitals of rs. 8000, rs. 10000 and rs. 12000 respectively. at the end of the year, the profit share of b is rs. 1800. the difference between the profit shares of a and c is?
Answer the question using a single word or phrase.

[Assistant] 720


[User]
the length of a bridge in meters, which a train 120 - meters long and traveling at 45 km / hr can cross in 30 seconds is?
Answer the question using a single word or phrase.

[Assistant] 255

[User]
of 70 players on a football team, 49 are throwers. the rest of the team is divided so one third are left - handed and the rest are right handed. assuming that all throwers are right handed, how many right - handed players are there total?
Answer the question using a single word or phrase.

[Assistant] 63

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

[Assistant] 1 / 42

[User]
a number divided by 44 leaves remainder 12 what is the remainder when same number divided by 12
Answer the question using a single word or phrase.

[Assistant] 8

[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 16 km, if the person completes half of the distance by walking and the other half by running?
Answer the question using a single word or phrase.

[Assistant] 3


[User]
company p had 15 percent more employees in december than it had in january. if company p had 470 employees in december, how many employees did it have in january?
Answer the question using a single word or phrase.

[Assistant] 408

[User]
a, b and c can do a piece of work in 5 days, 10 days and 15 days respectively. how long will they taken, if all the three work together?
Answer the question using a single word or phrase.

[Assistant] 2 8 / 11

[User]
two unbiased coins are tossed. find the probability of getting at most one head?
Answer the question using a single word or phrase.

[Assistant] 3 / 4

[User]
find the annual income derived by investing $ 6800 in 60 % stock at 136.
Answer the question using a single word or phrase.

[Assistant] 3000

[User]
when positive integer x is divided by positive integer y, the result is 59.32. what is the sum w of all possible 2 - digit remainders for x / y?
Answer the question using a single word or phrase.

[Assistant] 616


[User]
jerry ’ s average ( arithmetic mean ) score on the first 3 of 4 tests is 81. if jerry wants to raise his average by 2 points, what score must he earn on the fourth test?
Answer the question using a single word or phrase.

[Assistant] 89

[User]
in a certain apartment building, there are one - bedroom and two - bedroom apartments. the rental prices of the apartment depend on a number of factors, but on average, two - bedroom apartments have higher rental prices than do one - bedroom apartments. let m be the average rental price for all apartments in the building. if m is $ 2,000 higher than the average rental price for all one - bedroom apartments, and if the average rental price for all two - bedroom apartments is $ 8,000 higher that m, then what percentage of apartments in the building are two - bedroom apartments?
Answer the question using a single word or phrase.

[Assistant] 20 %

[User]
how many factors of 660 are odd numbers greater than 1?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
a palindrome is a number that reads the same front - to - back as it does back - to - front ( e. g. 202, 575, 1991, etc. ) p is the smallest integer greater than 300 that is both a prime and a palindrome. what is the sum of the digits of p?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
a crate measures 6 feet by 8 feet by 12 feet on the inside. a stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides. what is the radius, in feet, of the pillar with the largest volume that could still fit in the crate?
Answer the question using a single word or phrase.

[Assistant] 6


[User]
a man can row downstream at 20 kmph and upstream at 12 kmph. find the speed of the man in still water and the speed of stream respectively?
Answer the question using a single word or phrase.

[Assistant] 16, 4

[User]
a and b go around a circular track of length 1200 m on a cycle at speeds of 36 kmph and 54 kmph. after how much time will they meet for the first time at the starting point?
Answer the question using a single word or phrase.

[Assistant] 240 sec

[User]
if the number is decreased by 5 and divided by 7 the result is 7. what would be the result if 24 is subtracted and divided by 10?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
tom read a book containing 560 pages by reading the same number of pages each day. if he would have finished the book 5 days earlier by reading 16 pages a day more, how many days did tom spend reading the book?
Answer the question using a single word or phrase.

[Assistant] 9.12

[User]
john bought 9.25 m of cloth for $ 407. find the cost price per metre.
Answer the question using a single word or phrase.

[Assistant] 44


[User]
if one positive integer is greater than another positive integer by 4, and the difference of their cubes is 208, what is their sum?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
if s = { 1, 2, 3, 4, 5, 6, 7 }, how much less is the mean of the numbers in s than the median of the numbers in s?
Answer the question using a single word or phrase.

[Assistant] 0

[User]
45 x? = 40 % of 900
Answer the question using a single word or phrase.

[Assistant] 8

[User]
ramu bought an old car for rs. 42000. he spent rs. 13000 on repairs and sold it for rs. 64900. what is his profit percent?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
a honey bee flies for 10 seconds, from a daisy to a rose. it immediately continues to a poppy, flying for 6 additional seconds. the distance the bee passed, flying from the daisy to the rose is 8 meters longer than the distance it passed flying from the rose to the poppy. the bee flies to the poppy at 3 meters per second faster than her speed flying to the rose. the bee flies how many meters per second from the daisy to the rose?
Answer the question using a single word or phrase.

[Assistant] 2.6


[User]
of the female students at barkely university, 5 / 6 are on the honor roll. of the male students, 2 / 3 are on the honor roll. if 3 / 5 of the students are female, what is ratio of male to female students on honor roll?
Answer the question using a single word or phrase.

[Assistant] 8 / 15

[User]
if in a race of 90 m, a covers the distance in 20 seconds and b in 25 seconds, then a beats b by :
Answer the question using a single word or phrase.

[Assistant] 18 m

[User]
the sum of all two digit numbers divisible by 9 is
Answer the question using a single word or phrase.

[Assistant] 585

[User]
find the least number must be subtracted from 899830 so that remaining no. is divisible by 16?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
at 3 : 40, the hour hand and the minute hand of a clock form an angle of :
Answer the question using a single word or phrase.

[Assistant] 130


[User]
express 60 mps in kmph?
Answer the question using a single word or phrase.

[Assistant] 216

[User]
set a : { 1, 3, 4, 6, 9, 12, 15 } if 3 numbers are randomly selected from set a without replacement, what is the probability that the sum of the 3 numbers is divisible by 3?
Answer the question using a single word or phrase.

[Assistant] 2 / 7

[User]
in a rectangular axis system, what is the area of a parallelogram with the coordinates : ( 1,3 ), ( 5,3 ), ( 2,6 ), ( 6,6 )?
Answer the question using a single word or phrase.

[Assistant] 12.

[User]
the banker's gain on a sum due 3 years hence at 12 % per year is rs. 270. the banker's discount is :
Answer the question using a single word or phrase.

[Assistant] 1020

[User]
convert the 12 / 43 m / s into kilometers per hour?
Answer the question using a single word or phrase.

[Assistant] 1 kmph.


[User]
a rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. what is the cost of traveling the two roads at rs. 4 per sq m?
Answer the question using a single word or phrase.

[Assistant] 5200

[User]
- 88 * 49 + 100 =?
Answer the question using a single word or phrase.

[Assistant] - 4212

[User]
how many digits 2 ^ 200 has?
Answer the question using a single word or phrase.

[Assistant] 61

[User]
in an intercollegiate competition that lasted for 3 days, 175 students took part on day 1, 210 on day 2 and 150 on day 3. if 80 took part on day 1 and day 2 and 70 took part on day 2 and day 3 and 20 took part on all three days, how many students took part only on day 1?
Answer the question using a single word or phrase.

[Assistant] 45

[User]
rs. 1500 is divided into two parts such that if one part is invested at 6 % and the other at 5 % the whole annual interest from both the sum is rs. 75. how much was lent at 5 %?
Answer the question using a single word or phrase.

[Assistant] 1500


[User]
a sum of money at simple interest amounts to $ 980 in 3 years and to $ 1024 in 4 years. the sum is :
Answer the question using a single word or phrase.

[Assistant] $ 848

[User]
the perimeter of a rectangular yard is completely surrounded by a fence that measures 18 meters. what is the length of the yard if the area of the yard is 20 meters squared?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
the shopkeeper increased the price of a product by 25 % so that customer finds it difficult to purchase the required amount. but somehow the customer managed to purchase only 68 % of the required amount. what is the net difference in the expenditure on that product?
Answer the question using a single word or phrase.

[Assistant] 15 %

[User]
a store reduced the price of all items in the store by 10 % on the first day and by another 14 % on the second day. the price of items on the second day was what percent of the price before the first reduction took place?
Answer the question using a single word or phrase.

[Assistant] 77.4

[User]
if 25 % of ( x - y ) = 15 % of ( x + y ), then what percent of x is y?
Answer the question using a single word or phrase.

[Assistant] 25 %


[User]
the average weight of 3 men a, b and c is 84 kg. the average weight becomes 80 kg when d joins them. if e whose weight is 3 kg more than d joins the group replacing a, then the average weight of b, c, d and e becomes 79 kg. the weight of a is :
Answer the question using a single word or phrase.

[Assistant] 75 kg

[User]
the ratio of the present ages of two friends is 2 : 3 and 6 years back, the ratio was 1 : 3. what will be the ratio of their ages after 4 years?
Answer the question using a single word or phrase.

[Assistant] 3 : 4

[User]
the perimeter of a triangle is 24 cm and the inradius of the triangle is 2.5 cm. what is the area of the triangle?
Answer the question using a single word or phrase.

[Assistant] 30 cm 2

[User]
if 85 % of the population of an ant colony is red, and of these 45 % are females, then what % of the total ant population are male red ants?
Answer the question using a single word or phrase.

[Assistant] 46.75

[User]
if money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 54 / r years. if pat's parents invested $ 6,000 in a long - term bond that pays 6 percent interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when pat is ready for college?
Answer the question using a single word or phrase.

[Assistant] $ 12000


[User]
a train 210 metres long is moving at a speed of 25 kmph. it will cross a man coming from the opposite direction at a speed of 2 km per hour in :
Answer the question using a single word or phrase.

[Assistant] 28 sec

[User]
in 3 annual examinations, of which the aggregate marks of each was 500, a student secured average marks 45 % and 55 % in the first and the second yearly examinations respectively. to secure 40 % average total marks, it is necessary for him in third yearly examination to secure marks :
Answer the question using a single word or phrase.

[Assistant] 100

[User]
a man has some hens and cows. if the number of heads be 46 and the number of feet equals 140, then the number of hens will be :
Answer the question using a single word or phrase.

[Assistant] 22

[User]
two negative numbers are multiplied to give a product of 48. if the lesser number is 10 less than thrice the greater number, what is the greater number?
Answer the question using a single word or phrase.

[Assistant] - 6

[User]
yesterday's closing prices of 2,860 different stocks listed on a certain stock exchange were all different from today's closing prices. the number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. how many of the stocks closed at a higher price today than yesterday?
Answer the question using a single word or phrase.

[Assistant] 1,560


[User]
light glows for every 13 seconds. how many times did it between 1 : 57 : 58 and 3 : 20 : 47 am
Answer the question using a single word or phrase.

[Assistant] 383

[User]
if 7 men and 2 boys working together, can do 6 times as much work per hour as a man and a boy together. find the ratio of the work done by a man and that of a boy for a given time?
Answer the question using a single word or phrase.

[Assistant] 4 : 1

[User]
if x is 20 percent greater than 52, then x =
Answer the question using a single word or phrase.

[Assistant] 62.4

[User]
two stations p and q are 245 km apart on a straight track. one train starts from p at 7 a. m. and travels towards q at 20 kmph. another train starts from q at 8 a. m. and travels towards p at a speed of 25 kmph. at what time will they meet?
Answer the question using a single word or phrase.

[Assistant] 1 pm

[User]
a girl was asked to multiply a certain number by 43. she multiplied it by 34 and got his answer less than the correct one by 1215. find the number to be multiplied.
Answer the question using a single word or phrase.

[Assistant] 135


[User]
there is 60 lit of milk and water in which milk forms 84 %. howmuch water must be added to this solution to make it solution in which milk forms 64 %
Answer the question using a single word or phrase.

[Assistant] 18.75

[User]
if x + y = - 10, and x = 25 / y, what is the value of x ^ 2 + y ^ 2?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
a type r machine can complete a job in 5 hours and a type b machine can complete the job in 7 hours. how many hours will it take 2 type r machines and 3 type b machines working together and independently to complete the job?
Answer the question using a single word or phrase.

[Assistant] 35 / 29

[User]
the speed of a boat in still water in 42 km / hr and the rate of current is 6 km / hr. the distance travelled downstream in 44 minutes is :
Answer the question using a single word or phrase.

[Assistant] 35.2 km

[User]
a basketball team composed of 12 players scored 100 points in a particular contest. if none of the individual players scored fewer than 7 points, what is the greatest number of points l that an individual player might have scored?
Answer the question using a single word or phrase.

[Assistant] 23


[User]
find the value of log y ( x 4 ) if logx ( y 3 ) = 2
Answer the question using a single word or phrase.

[Assistant] 6

[User]
arun and tarun can do a work in 10 days. after 4 days tarun went to his village. how many days are required to complete the remaining work by arun alone. arun can do the work alone in 70 days.
Answer the question using a single word or phrase.

[Assistant] 42 days.

[User]
a 100 - litre mixture of milk and water contains 36 litres of milk.'x'litres of this mixture is removed and replaced with an equal quantum of water. if the process is repeated once, then the concentration of the milk stands reduced at 16 %. what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 33.33 litres

[User]
a man â € ™ s current age is ( 2 / 5 ) of the age of his father. after 5 years, he will be ( 1 / 2 ) of the age of his father. what is the age of father at now?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
after an ice began to melt out from the freezer, in the first hour lost 3 / 4, in the second hour lost 3 / 4 of its remaining. if after two hours, the volume is 0.75 cubic inches, what is the original volume of the cubic ice, in cubic inches?
Answer the question using a single word or phrase.

[Assistant] 12.0


[User]
the average height of 20 girls out of a class of 50 is 142 cm. and that of the remaining girls is 149 cm. the average height of the whole class is :
Answer the question using a single word or phrase.

[Assistant] 146.2 cms

[User]
a shopkeeper bought 600 oranges and 400 bananas. he found 15 % of oranges and 3 % of bananas were rotten. find the percentage of fruits in good condition?
Answer the question using a single word or phrase.

[Assistant] 89.8 %

[User]
if taxi fares were $ 1.00 for the first 1 / 5 mile and $ 0.40 for each 1 / 5 mile there after, then the taxi fare for a 3 - mile ride was
Answer the question using a single word or phrase.

[Assistant] $ 6.60

[User]
the batting average of a particular batsman is 60 runs in 46 innings. if the difference in his highest and lowest score is 180 runs and his average excluding these two innings is 58 runs, find his highest score.
Answer the question using a single word or phrase.

[Assistant] 194

[User]
the average weight of 19 students is 15 kg. by the admission of a new student the average weight is reduced to 14.8 kg. the weight of the new student is?
Answer the question using a single word or phrase.

[Assistant] 11 kg


[User]
john has $ 1,600 at the beginning of his trip, after spending money, he still has exactly $ 800 less than he spent on the trip. how much money does john still have?
Answer the question using a single word or phrase.

[Assistant] $ 400

[User]
how many 3 digit number contain number 4?
Answer the question using a single word or phrase.

[Assistant] 252

[User]
the total age of a and b is 16 years more than the total age of b and c. c is how many year younger than a
Answer the question using a single word or phrase.

[Assistant] 16

[User]
how many positive integers less than 14 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
if 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be :
Answer the question using a single word or phrase.

[Assistant] 4 days


[User]
a batsman makes a score of 87 runs in the 17 th match and thus increases his average by 3. find his average after 17 th match
Answer the question using a single word or phrase.

[Assistant] 39

[User]
having received his weekly allowance, a student spent 3 / 5 of his allowance at the arcade. the next day he spent one third of his remaining allowance at the toy store, and then spent his last $ 1.20 at the candy store. what is this student ’ s weekly allowance?
Answer the question using a single word or phrase.

[Assistant] $ 4.50

[User]
a man rows his boat 78 km downstream and 50 km upstream, taking 2 hours each time. find the speed of the stream?
Answer the question using a single word or phrase.

[Assistant] 7 kmph

[User]
if it takes a machine 3 ⁄ 5 minute to produce one item, how many items will it produce in 2 hours?
Answer the question using a single word or phrase.

[Assistant] 200

[User]
$ 364 is divided among a, b, and c so that a receives half as much as b, and b receives half as much as c. how much money is c's share?
Answer the question using a single word or phrase.

[Assistant] $ 208


[User]
the price of a jacket is reduced by 25 %. during a special sale the price of the jacket is reduced another 20 %. by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
Answer the question using a single word or phrase.

[Assistant] 66.67

[User]
two consultants can type up a report in 12.5 hours and edit it in 7.5 hours. if mary needs 30 hours to type the report and jim needs 12 hours to edit it alone, how many e hours will it take if jim types the report and mary edits it immediately after he is done?
Answer the question using a single word or phrase.

[Assistant] 41.4

[User]
a man saves 20 % of his monthly salary. if an account of dearness of things he is to increase his monthly expenses by 10 %, he is only able to save rs. 500 per month. what is his monthly salary?
Answer the question using a single word or phrase.

[Assistant] rs. 4167

[User]
a started a business with an investment of rs. 70000 and after 6 months b joined him investing rs. 120000. if the profit at the end of a year is rs. 78000, then the share of a is?
Answer the question using a single word or phrase.

[Assistant] s. 42000

[User]
what is the minimum value of | x - 4 | + | x + 7 | + | x - 5 |?
Answer the question using a single word or phrase.

[Assistant] 12


[User]
the average of 1 st 3 of 4 numbers is 16 and of the last 3 are 15. if the sum of the first and the last number is 13. what is the last numbers?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
mahesh marks an article 15 % above the cost price of rs. 540. what must be his discount percentage if he sells it at rs. 456?
Answer the question using a single word or phrase.

[Assistant] 26.57 %

[User]
the h. c. f. of two numbers is 11 and their l. c. m. is 693. if one of the numbers is 77, find the other.
Answer the question using a single word or phrase.

[Assistant] 99

[User]
kate and danny each have $ 10. together, they flip a fair coin 5 times. every time the coin lands on heads, kate gives danny $ 1. every time the coin lands on tails, danny gives kate $ 1. after the 5 coin flips, what is the probability that kate has more than $ 10 but less than $ 15?
Answer the question using a single word or phrase.

[Assistant] 15 / 32

[User]
there are two groups of students in the sixth grade. there are 30 students in group a, and 50 students in group b. if, on a particular day, 20 % of the students in group a forget their homework, and 12 % of the students in group b forget their homework, then what percentage of the sixth graders forgot their homework?
Answer the question using a single word or phrase.

[Assistant] 15 %


[User]
a cubical tank is filled with water to a level of 2 feet. if the water in the tank occupies 32 cubic feet, to what fraction of its capacity is the tank filled with water?
Answer the question using a single word or phrase.

[Assistant] 1 / 2

[User]
a lent rs. 5000 to b for 2 years and rs. 3000 to c for 4 years on simple interest at the same rate of interest and received rs. 2200 in all from both of them as interest. the rate of interest per annum is?
Answer the question using a single word or phrase.

[Assistant] 10 %

[User]
when 1 / 10 percent of 7000 is subtracted from 1 / 10 of 7000, the difference is
Answer the question using a single word or phrase.

[Assistant] 693

[User]
a train running at the speed of 60 km / hr crosses a pole in 9 sec. what is the length of the train?
Answer the question using a single word or phrase.

[Assistant] 150

[User]
if 3 x = 9 y = z, what is x + y, in terms of z?
Answer the question using a single word or phrase.

[Assistant] 4 z / 9


[User]
if ( 18 ^ a ) * 9 ^ ( 3 a – 1 ) = ( 2 ^ 5 ) ( 3 ^ b ) and a and b are positive integers, what is the value of a?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
a, b and c invest in the ratio of 3 : 4 : 5. the percentage of return on their investments are in the ratio of 6 : 5 : 4. find the total earnings, if b earns rs. 100 more than a :
Answer the question using a single word or phrase.

[Assistant] 2900

[User]
a paint store mixes 3 / 4 pint of red paint and 2 / 3 pint of white paint to make a new paint color called perfect pink. how many pints of red paint would be needed to make 35 pints of perfect pink paint?
Answer the question using a single word or phrase.

[Assistant] 19

[User]
a can build a wall in the same time in which b and c together can do it. if a and b together could do it in 25 days and c alone in 35 days, in what time could b alone do it?
Answer the question using a single word or phrase.

[Assistant] 175 days

[User]
if 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be?
Answer the question using a single word or phrase.

[Assistant] 4


[User]
a man goes downstream at 11 kmph, and upstream 8 kmph. the speed of the stream is
Answer the question using a single word or phrase.

[Assistant] 1.5 kmph

[User]
in a 1000 m race, a beats b by 70 m and b beats c by 100 m. in the same race, by how many meters does a beat c?
Answer the question using a single word or phrase.

[Assistant] 163 m

[User]
what is the sum of the multiples of 4 from 40 to 80, inclusive?
Answer the question using a single word or phrase.

[Assistant] 660

[User]
what number times ( 1 ⁄ 2 ) ^ 2 will give the value of 2 ^ 3?
Answer the question using a single word or phrase.

[Assistant] 32

[User]
a bowl was filled with 10 ounces of water, and 0.00008 ounce of the water evaporated each day during a 50 - day period. what percent of the original amount of water evaporated during this period?
Answer the question using a single word or phrase.

[Assistant] 0.04 %


[User]
if 35 percent of 400 is 20 percent of x, then what is 70 percent of x?
Answer the question using a single word or phrase.

[Assistant] 490

[User]
for any even integer p, 300 multiplied by p is square of an integer. what is the least value of p?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
if the selling price of 50 articles is equal to the cost price of 45 articles, then the loss or gain percent is :
Answer the question using a single word or phrase.

[Assistant] 10 %

[User]
the average marks of a class of 20 students is 40 and that of another class of 50 students is 60. find the average marks of all the students?
Answer the question using a single word or phrase.

[Assistant] 54.28

[User]
in a certain circle there are 9 points. what is the number of the triangles connecting 3 points of the 9 points?
Answer the question using a single word or phrase.

[Assistant] 84


[User]
in shop there are 10 bulbs, a total of 4 are defective. if a customer buys 4 bulbs selected at random from the box, what is the probability that neither bulbs will be defective?
Answer the question using a single word or phrase.

[Assistant] 1 / 15

[User]
if x + | x | + y = 2 and x + | y | - y = 6 what is x + y =?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
employees of a certain company are each to receive a unique 5 - digit identification code consisting of the digits 0, 1, 2, 3, and 4 such that no digit is used more than once in any given code. in valid codes, the second digit in the code is exactly twice the first digit. how many valid codes are there?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
36 men can complete a piece of work in 18 days. in how many days will 72 men complete the same work?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
in a room filled with 7 people, 4 people have exactly 1 sibling in the room and 3 people have exactly 3 siblings in the room. if two individuals are selected from the room at random, what is the probability that those two individuals are not siblings?
Answer the question using a single word or phrase.

[Assistant] 32 / 35


[User]
if p is the product of the integers from 1 to 34, inclusive, what is the greatest integer k for which 3 ^ k is a factor of p?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
a present value of a machine is $ 2500. its value depletiation rate is 5 % per annum then find the machine value after 2 years?
Answer the question using a single word or phrase.

[Assistant] $ 2256

[User]
the sum of the squares of the first 15 positive integers ( 1 ^ 2 + 2 ^ 2 + 3 ^ 2 +... + 15 ^ 2 ) is equal to 1280. what is the sum of the squares of the second 15 positive integers ( 16 ^ 2 + 17 ^ 2 + 18 ^ 2 +... + 30 ^ 2 )?
Answer the question using a single word or phrase.

[Assistant] 8255

[User]
the diameter of the wheel of a car is 120 m. how many revolution / min must the wheel makein order to keep a speed of 60 km / hour approximately?
Answer the question using a single word or phrase.

[Assistant] 265

[User]
each light bulb at a hotel is either incandescent or fluorescent. at a certain moment, thirty percent of the incandescent bulbs are switched on, and eighty percent of the fluorescent bulbs are switched on. if 70 percent of all the bulbs are switched on at this moment, what percent of the bulbs that are switched on are incandescent?
Answer the question using a single word or phrase.

[Assistant] 8.6 %


[User]
a chemist mixes one liter of pure water with x liters of a 40 % salt solution, and the resulting mixture is a 20 % salt solution. what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
the average age of students of a class is 15.8 years. the average age of boys in the class is 16.4 years and that of the girls is 15.5 years. the ration of the number of boys to the number of girls in the class is?
Answer the question using a single word or phrase.

[Assistant] 1 : 2

[User]
a football field is 10800 square yards. if 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards?
Answer the question using a single word or phrase.

[Assistant] 400

[User]
two same glasses are respectively 1 / 4 th 1 / 5 th full of milk. they are then filled with water and the contents mixed in a tumbler. the ratio of milk and water in the tumbler is?
Answer the question using a single word or phrase.

[Assistant] 9 : 31

[User]
sales price is $ 91, gross profit is 160 % of cost, what is the value of gross profit?
Answer the question using a single word or phrase.

[Assistant] 56


[User]
a number exceeds by 25 from its 3 / 8 part. then the number is?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
in an it company, there are a total of 70 employees including 50 programmers. the number of male employees is 80, including 35 male programmers. how many employees must be selected to guaranty that we have 3 programmers of the same sex?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
in the first 10 overs of a cricket game, the run rate was only 3.2. what should be the rate in the remaining 40 overs to reach the target of 272 runs?
Answer the question using a single word or phrase.

[Assistant] 6.0

[User]
a certain basketball team that has played 2 / 3 of its games has a record of 16 wins and 4 losses. what is the greatest number of the remaining games that the team can lose and still win at least 3 / 4 of all of its games?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
sari and ken climb up a mountain. at night, they camp together. on the day they are supposed to reach the summit, sari wakes up at 06 : 00 and starts climbing at a constant pace. ken starts climbing only at 08 : 00, when sari is already 800 meters ahead of him. nevertheless, ken climbs at a constant pace of 500 meters per hour, and reaches the summit before sari. if sari is 50 meters behind ken when he reaches the summit, at what time did ken reach the summit?
Answer the question using a single word or phrase.

[Assistant] 16.3


[User]
boy sells a book for rs. 800 he gets a loss of 20 %, to gain 10 %, what should be the sp?
Answer the question using a single word or phrase.

[Assistant] 1100

[User]
the age of somu is one - third his father's. 9 years back he was one - fifth of his father's age. what is his persent age?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
at a certain committee meeting only associate professors and assistant professors are present. each associate professor has brought 2 pencils and 1 chart to the meeting, while each assistant professor has brought 1 pencil and 2 charts. if a total of 11 pencils and 16 charts have been brought to the meeting, how many people are present?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
a garrison of 400 men had a provision for 31 days. after 20 days 180 persons re - enforcement leave the garrison. find the number of days for which the remaining ration will be sufficient?
Answer the question using a single word or phrase.

[Assistant] 20 days

[User]
a goods train leaves a station at a certain time and at a fixed speed. after ^ hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. this train catches up the goods train in 4 hours. find the speed of the goods train.
Answer the question using a single word or phrase.

[Assistant] 36 kmph


[User]
ram and shakil run a race of 2000 meters. first, ram gives shakil a start of 200 meters and beats him by one minute. if, ram gives shakil a start of 6 minutes ram is beaten by 1000 meters. find the time in minutes in which ram and shakil can run the races separately.
Answer the question using a single word or phrase.

[Assistant] 8,10

[User]
rahul can do a work in 3 days while rajesh can do the same work in 2 days. both of them finish the work together and get $ 355. what is the share of rahul?
Answer the question using a single word or phrase.

[Assistant] $ 142

[User]
a certain fruit stand sold apples for $ 0.70 each and cherry for $ 0.50 each. if a customer purchased both apples and bananas from the stand for a total of $ 6.30, what total number of apples and bananas did the customer purchase?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
the element being searched for is not found in an array of 100 elements. what is the average number of comparisons needed in a sequential search to determine that the element is not there, if the elements are completely unordered?
Answer the question using a single word or phrase.

[Assistant] 100

[User]
what is 15 % of 2 / 3 of 0.7?
Answer the question using a single word or phrase.

[Assistant] 0.07


[User]
what is the greatest integer m for which the number 50! / 14 ^ m is an integer?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
two printing presses begin printing currency at the same time and at constant speeds. press f produces 5 - dollar bills at the rate of 1,000 bills per minute. press t produces 20 - dollar bills at the rate of 200 bills per minute. once the machines have begun printing, how many seconds does it take for press f to produce 50 dollars more currency than press t?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
last year sandy saved 6 % of her annual salary. this year, she made 10 % more money than last year, and she saved 9 % of her salary. the amount saved this year was what percent of the amount she saved last year?
Answer the question using a single word or phrase.

[Assistant] 165 %

[User]
rahul can do a work in 3 days while rajesh can do the same work in 2 days. both of them finish the work together and get $ 170. what is the share of rahul?
Answer the question using a single word or phrase.

[Assistant] $ 68

[User]
the ratio between sumit's and prakash's age at present is 2 : 3. sumit is 6 years younger than prakash. the ratio of sumit's age to prakash's age after 6 years will be :
Answer the question using a single word or phrase.

[Assistant] 3 : 4


[User]
if a person walks at 12 km / hr instead of 10 km / hr, he would have walked 20 km more. the actual distance traveled by him is :
Answer the question using a single word or phrase.

[Assistant] 100 km

[User]
cara leaves her home and walks toward don's house. two hours later, don leaves his home and walks toward cara's house. the distance between their homes is 45 kilometers, cara's walking speed is 6 km / h, and don's walking speed is 5 km / h. how many kilometers will cara walk before she meets don?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
in a garden, there are yellow and green flowers which are straight and curved. if the probability of picking a green flower is 3 / 4 and picking a straight flower is 1 / 2, then what is the probability of picking a flower which is yellow and curved
Answer the question using a single word or phrase.

[Assistant] 1 / 8

[User]
if n is a positive integer, what is the remainder when ( 7 ^ ( 3 n + 3 ) ) ( 6 ^ n ) is divided by 10?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
10 / 21 of 3 / 5 of a number is greater than 4 / 7 of 1 / 5 of the same number by 36. what is half of that number?
Answer the question using a single word or phrase.

[Assistant] 105


[User]
the speed of a bus increases by 2 km after every one hour. if the distance travelling in the first one hour was 35 km. what was the total distance travelled in 12 hours?
Answer the question using a single word or phrase.

[Assistant] 552

[User]
a tailor trims 11 feet from opposite edges of a square piece of cloth, and 7 feet from the other two edges. if 84 square feet of cloth remain, what was the length of a side of the original piece of cloth?
Answer the question using a single word or phrase.

[Assistant] 28

[User]
an order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth. what be the cost of a carpet whose length and breadth are 40 % more and 25 % more respectively than the first carpet. given that the ratio of carpet is rs. 45 per sq. m?
Answer the question using a single word or phrase.

[Assistant] rs. 4082.40

[User]
in a office work is distribute between p persons. if 1 / 7 members are absent then work increased for each person is?
Answer the question using a single word or phrase.

[Assistant] 16.67 %

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

[Assistant] 20000


[User]
in a school of 700 boys, 44 % of muslims, 28 % hindus, 10 % sikhs and the remaining of other communities. how many belonged to the other communities?
Answer the question using a single word or phrase.

[Assistant] 126

[User]
a shop keeper marked 30 % above the cost price and offered 20 % discount then find it's net profit?
Answer the question using a single word or phrase.

[Assistant] 2.5 %

[User]
the speed of a car is 100 km in the first hour and 80 km in the second hour. what is the average speed of the car?
Answer the question using a single word or phrase.

[Assistant] 90

[User]
there are 300 seniors at morse high school, and 50 % of them have cars. of the remaining grades ( freshmen, sophomores, and juniors ), only 10 % of them have cars. if 20 % of all the students at morse have cars, how many students are in the 3 lower grades?
Answer the question using a single word or phrase.

[Assistant] 900

[User]
carrie likes to buy t - shirts at the local clothing store. they cost $ 9.95 each. one day, she bought 20 t - shirts. how much money did she spend?
Answer the question using a single word or phrase.

[Assistant] $ 199


[User]
a train passes a station platform in 36 sec and a man standing on the platform in 20 sec. if the speed of the train is 90 km / hr. what is the length of the platform?
Answer the question using a single word or phrase.

[Assistant] 400

[User]
a ferry can transport 85 tons of vehicles. automobiles range in weight from 1,800 to 3,200 pounds. what is the greatest number of automobiles that can be loaded onto the ferry?
Answer the question using a single word or phrase.

[Assistant] 90

[User]
if 10 gallons of grape juice are added to 50 gallons of a mixture, which contains 10 percent grape juice then what percent of the resulting mixture is grape juice?
Answer the question using a single word or phrase.

[Assistant] 25 %

[User]
an artist who needs to buy only paint and canvas finds that the cost of canvas has decreased by 40 percent and the cost of paint has decreased by 60 percent. if paint previously accounted for 4 times as much of the expense of painting as did canvas, by what percent did the total cost for paint and canvas decrease?
Answer the question using a single word or phrase.

[Assistant] 56 %

[User]
a man can row upstream at 55 kmph and downstream at 65 kmph, and then find the speed of the man in still water?
Answer the question using a single word or phrase.

[Assistant] 60


[User]
if v is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3 ^ k is a factor of v?
Answer the question using a single word or phrase.

[Assistant] 14

[User]
find the side of the largest possible square slabs which can be paved on the floor of a room 2 m 50 cm long and 1 m 50 cm broad. also find the number of such slabs to pave the floor.
Answer the question using a single word or phrase.

[Assistant] 50, 15

[User]
a train speeds past a pole in 25 seconds and a platform 200 m long in 30 seconds. its length is :
Answer the question using a single word or phrase.

[Assistant] 1000 m

[User]
one fourth of a solution that was 14 % salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. the second solution was what percent salt by weight?
Answer the question using a single word or phrase.

[Assistant] 22 %

[User]
a certain fraction has the same ratio to 1 / 18, as 2 / 5 does to 2 / 9. what is this certain fraction?
Answer the question using a single word or phrase.

[Assistant] 1 / 10


[User]
how many odd numbers between 10 and 2000 are the squares of integers?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
for a certain exam, a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean. what was the mean score e for the exam?
Answer the question using a single word or phrase.

[Assistant] 74

[User]
walking at the rate of 3 kmph a man cover certain distance in 3 hr 20 min. running at a speed of 9 kmph the man will cover the same distance in.
Answer the question using a single word or phrase.

[Assistant] 54 min

[User]
what percent is 25 gm of 1 kg?
Answer the question using a single word or phrase.

[Assistant] 2.5 %

[User]
an airplane covers 50 miles in 1 / 5 hours. how many miles can the airplane cover in 5 hours?
Answer the question using a single word or phrase.

[Assistant] 1250


[User]
evaluate 35 /. 07
Answer the question using a single word or phrase.

[Assistant] 500

[User]
a shopkeeper sold an article offering a discount of 5 % and earned a profit of 19.7 %. what would have been the percentage of profit earned if no discount was offered?
Answer the question using a single word or phrase.

[Assistant] 26 %

[User]
0.003 x 0.2 =?
Answer the question using a single word or phrase.

[Assistant] 0.0006

[User]
a candidate who gets 30 % of the marks fails by 60 marks. but another candidate who gets 45 % marks gets 30 marks more than necessary for passing. find the number of marks for passing?
Answer the question using a single word or phrase.

[Assistant] 240 marks

[User]
in may, the groundskeeper at spring lake golf club built a circular green with an area of 80 π square feet. in august, the groundskeeper doubled the distance from the center of the green to the edge of the green. what is the total area of the renovated green?
Answer the question using a single word or phrase.

[Assistant] 320 π


[User]
the average weight of 20 girls increases by 2 kg when a new girl comes in place of one of them weighing 40 kg. what might be the weight of the new girl?
Answer the question using a single word or phrase.

[Assistant] 80 kg

[User]
a ( 5, w ^ 3 ) is the ( x, y ) coordinate of point located on the parabola y = x ^ 2 + 2. what is the value of w?
Answer the question using a single word or phrase.

[Assistant] 3.

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

[Assistant] 88

[User]
a certain fruit stand sold apples for $ 0.80 each and bananas for $ 0.70 each. if a customer purchased both apples and bananas from the stand for a total of $ 6.50, what total number of apples and bananas did the customer purchase?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
what is the thousandths digit in the decimal equivalent of 62 / 5000?
Answer the question using a single word or phrase.

[Assistant] 2


[User]
in how many seconds will a train 180 meters long pass an oak tree, if the speed of the train is 36 km / hr?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
what number should replace the question mark? 10, 30, 14, 25, 18, 20, - - -?
Answer the question using a single word or phrase.

[Assistant] 22

[User]
a train of length 250 m crosses a bridge of length 180 m in 20 seconds. what is the speed of train?
Answer the question using a single word or phrase.

[Assistant] 77.4

[User]
what is the perimeter, in meters, of a rectangular garden 24 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide?
Answer the question using a single word or phrase.

[Assistant] 64

[User]
a can do a work in 12 days. when he had worked for 3 days, b joinedhim. if they complete the work in 3 more days, in how manydays can balone finish the work?
Answer the question using a single word or phrase.

[Assistant] 6 days


[User]
if k is an integer and 0.0010101 x 10 ^ k is greater than 100, what is the least possible value of k?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
gold is 19 times as heavy as water and copper is 9 times as heavy as water. in what ratio should these be mixed to get an alloy 18 times as heavy as water?
Answer the question using a single word or phrase.

[Assistant] 9 : 1

[User]
find the ones digit of 73 ^ 350
Answer the question using a single word or phrase.

[Assistant] 9

[User]
a man engaged a servant on the condition that he would pay him rs. 900 and a uniform after 1 year service. he served onlyfor 9 months and received uniform & rs. 650, find the price of the uniform?
Answer the question using a single word or phrase.

[Assistant] rs. 100

[User]
a 600 meter long train crosses a signal post in 20 seconds. how long will it take to cross a 3 kilometer long bridge, at the same speed?
Answer the question using a single word or phrase.

[Assistant] 2 min


[User]
a certain car dealership sells economy cars, luxury cars, and sport utility vehicles. the ratio of economy to luxury cars is 3 : 2. the ratio of economy cars to sport utility vehicles is 5 : 3. what is the ratio of luxury cars to sport utility vehicles?
Answer the question using a single word or phrase.

[Assistant] 10 : 9

[User]
in the coordinate plane a slope of the line k is 0.5 times the y - intercept of the line k. what is the x - intercept of the line k?
Answer the question using a single word or phrase.

[Assistant] - 2

[User]
a metallic sheet is of rectangular shape with dimensions 48 m x 36 m. from each of its corner, 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
Answer the question using a single word or phrase.

[Assistant] 5120

[User]
a motorboat can go at 21 kmph and still water. it takes 7 hours to row from a to b and back. what is the distance between a and b if the speed of the stream is 3 kmph?
Answer the question using a single word or phrase.

[Assistant] 72 km

[User]
the sum of all the digits of the integers from 18 to 21 inclusive is 24 ( 1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24 ). what is the sum r of all the digits of the integers from 0 to 99 inclusive?
Answer the question using a single word or phrase.

[Assistant] 900


[User]
a total of $ 20,000 was invested in two certificates of deposit at simple annual interest rates of 4 percent and 8 percent, respectively. if the total interest on the two certificates was $ 1,440 at the end of one year, what fractional part of the $ 20.000 was invested at the higher rate?
Answer the question using a single word or phrase.

[Assistant] 4 / 5

[User]
in traveling from a dormitory to a certain city, a student went 1 / 5 of the way by foot, 2 / 3 of the way by bus, and the remaining 6 kilometers by car. what is the distance, in kilometers, from the dormitory to the city?
Answer the question using a single word or phrase.

[Assistant] 58

[User]
when positive integer x is divided by positive integer y, the remainder is 9. if x / y = 96.12, what is the value of y?
Answer the question using a single word or phrase.

[Assistant] 75

[User]
tom read a book containing 1000 pages by reading the same number of pages each day. if he would have finished the book 5 days earlier by reading 15 pages a day more, how many days did tom spend reading the book?
Answer the question using a single word or phrase.

[Assistant] 15.39

[User]
find the compound interest on $ 16,000 at 20 % per annum for 9 months, compounded quarterly
Answer the question using a single word or phrase.

[Assistant] 2522


[User]
a man crosses a 600 m long street in 5 minutes. what is his speed in km per hour?
Answer the question using a single word or phrase.

[Assistant] 7.2 km / hr

[User]
if the sum of the 4 th term and the 12 th term of an arithmetic progression is 24, what is the sum of the first 15 terms of the progression?
Answer the question using a single word or phrase.

[Assistant] 180

[User]
how many 4 - digit positive integers are there, where each digit is positive, and no 3 adjacent digits are same?
Answer the question using a single word or phrase.

[Assistant] 3528

[User]
15 lts are taken of from a container full of liquid a and replaced with liquid b. again 15 more lts of the mixture is taken and replaced with liquid b. after this process, if the container contains liquid a and b in the ratio 9 : 16, what is the capacity of the container w?
Answer the question using a single word or phrase.

[Assistant] c : 37.5

[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 s per t - shirt that the vendor paid for these purchases?
Answer the question using a single word or phrase.

[Assistant] $ 12.20


[User]
of the families in city x in 1904, 50 percent owned a personal computer. the number of families in city x owning a computer in 1908 was 30 percent greater than it was in 1904, and the total number of families in city x was 5 percent greater in 1908 than it was in 1904. what percent of the families in city x owned a personal computer in 1908?
Answer the question using a single word or phrase.

[Assistant] 61.90 %

[User]
a merchant marks his goods up by 40 % and then offers a discount of 20 % on the marked price. what % profit does the merchant make after the discount?
Answer the question using a single word or phrase.

[Assistant] 12 %

[User]
the perimeter of a triangle is 36 cm and the in radius of the triangle is 2.5 cm. what is the area of the triangle?
Answer the question using a single word or phrase.

[Assistant] 45

[User]
during a certain two - week period, 70 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 4 times as many dramas as action movies. if no other movies were rented during that two - week period and there were a action movies rented, then how many comedies, in terms of a, were rented during that two - week period?
Answer the question using a single word or phrase.

[Assistant] 11 2 / 3 a

[User]
there were two candidates in an election. winner candidate received 58 % of votes and won the election by 288 votes. find the number of votes casted to the winning candidate?
Answer the question using a single word or phrase.

[Assistant] 1044


[User]
4 / 15 of 5 / 7 of a number is greater than 4 / 9 of 2 / 5 of the same number by 8. what is half of that number?
Answer the question using a single word or phrase.

[Assistant] 315

[User]
a producer of tea blends two varieties of tea from two tea gardens one costing rs 18 per kg and another rs 20 per kg in the ratio 5 : 3. if he sells the blended variety at rs 20 per kg, then his gain percent is
Answer the question using a single word or phrase.

[Assistant] 7 %

[User]
what is the total number of y integers between 100 and 200 that are divisible by 3?
Answer the question using a single word or phrase.

[Assistant] 33

[User]
if each participant of a chess tournament plays exactly one game with each of the remaining participants, then 136 games will be played during the tournament. find the number of participants.
Answer the question using a single word or phrase.

[Assistant] 17

[User]
a, b and c can do a piece of work in 4 days, 8 days and 20 days respectively. how long will they taken, if all the three work together?
Answer the question using a single word or phrase.

[Assistant] 2 6 / 17


[User]
for the past n days, the average ( arithmetic mean ) daily production at a company was 40 units. if today's production of 90 units raises the average to 45 units per day, what is the value of n?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
in the johnsons'monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 5 : 4 : 1, respectively. if the total amount allocated to these 3 categories is $ 1800, what is the amount allocated to food?
Answer the question using a single word or phrase.

[Assistant] $ 720

[User]
one ton has 2600 pounds, and one pound has 16 ounces. how many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons?
Answer the question using a single word or phrase.

[Assistant] 2080

[User]
what is the remainder when 8 ^ 381 is divided by 5?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
the average age of students of a class is 15.8 years. the average age of boys in the class is 16.4 years and that of the girls is 15.4 years, the ratio of the number of boys to the number of girls in the class is
Answer the question using a single word or phrase.

[Assistant] 2 : 3


[User]
in a certain boys camp, 20 % of the total boys are from school a and 30 % of those study science. if there are 35 boys in the camp that are from school a but do not study science then what is the total number of boys in the camp?
Answer the question using a single word or phrase.

[Assistant] 250

[User]
of the female students at barkely university, 5 / 6 are on the honor roll. of the male students, 2 / 3 are on the honor roll. if 2 / 5 of the students are female, what fraction of all the students are on the honor roll?
Answer the question using a single word or phrase.

[Assistant] 22 / 30

[User]
a train running at the speed of 60 km / hr crosses a pole in 18 seconds. find the length of the train.
Answer the question using a single word or phrase.

[Assistant] 300

[User]
the ratio of the volumes of two cubes is 729 : 2197. what is the ratio of their total surface areas?
Answer the question using a single word or phrase.

[Assistant] 81 : 169

[User]
a monkey ascends a greased pole 22 meters high. he ascends 2 meters in the first minute and then slips down 1 meter in the alternate minute. if this pattern continues until he climbs the pole, in how many minutes would he reach at the top of the pole?
Answer the question using a single word or phrase.

[Assistant] 41 st minute


[User]
a can run 256 metre in 28 seconds and b in 32 seconds. by what distance a beat b?
Answer the question using a single word or phrase.

[Assistant] 32 metre

[User]
if | x | = 4 x - 2, then x =?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
two circular signs are to be painted. if the diameter of the larger sign is 7 times that of the smaller sign, how many times more paint is needed to paint the larger sign? ( we can assume that a given amount of paint covers the same area on both signs. )
Answer the question using a single word or phrase.

[Assistant] 49

[User]
when a merchant imported a certain item, he paid a 9 percent import tax on the portion of the total value of the item in excess of $ 1,000. if the amount of the import tax that the merchant paid was $ 76.50, what was the total value of the item?
Answer the question using a single word or phrase.

[Assistant] $ 1,850

[User]
a man swims downstream 40 km and upstream 30 km taking 5 hours each time, what is the speed of the man in still water?
Answer the question using a single word or phrase.

[Assistant] 7


[User]
in one hour, a boat goes 21 km along the stream and 9 km against the stream. the speed of the boat in still water ( in km / hr ) is :
Answer the question using a single word or phrase.

[Assistant] 15

[User]
in the faculty of reverse - engineering, 226 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. how many students are there in the faculty if the second year students are approximately 70 % of the total?
Answer the question using a single word or phrase.

[Assistant] 736.

[User]
machines x and y produce bottles at their respective constant rates. machine x produces k bottles in 6 hours and machine y produces k bottles in 12 hours. how many hours does it take machines x and y, working simultaneously, to produce 24 k bottles?
Answer the question using a single word or phrase.

[Assistant] 96

[User]
on the number line, if x is halfway between - 4 and 4, and if y is halfway between - 2 and 6, what number is halfway between x and y?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
5 % people of a village in sri lanka died by bombardment, 15 % of the remainder left the village on account of fear. if now the population is reduced to 3294, how much was it in the beginning?
Answer the question using a single word or phrase.

[Assistant] 4079


[User]
tanks a and b are each in the shape of a right circular cylinder. the interior of tank a has a height of 6 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?
Answer the question using a single word or phrase.

[Assistant] 48 %

[User]
the number of singles that a baseball player hit increased 12 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 2 percent. if the total number of singles and doubles that she hit increased 2 percent from her first season to her second season, what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season?
Answer the question using a single word or phrase.

[Assistant] 2 : 5

[User]
on the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. on the particular day 350 children were absent and as a result each child got two extra bananas. find the actual number of children in the school?
Answer the question using a single word or phrase.

[Assistant] 700

[User]
every digit of a number written in binary is either 0 or 1. to translate a number from binary, multiply the nth digit ( reading from right to left ) by 2 ^ ( n - 1 ) what is the largest prime number ( written in binary ) that is a factor of both 10010000 and 100100000?
Answer the question using a single word or phrase.

[Assistant] 1001

[User]
a cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. if the cistern is full, the leak will empty it in?
Answer the question using a single word or phrase.

[Assistant] 40


[User]
find the distance covered by a man walking for 24 min at a speed of 10 km / hr?
Answer the question using a single word or phrase.

[Assistant] 4 km

[User]
the diagonals of a rhombus are 30 cm and 20 cm. find its area?
Answer the question using a single word or phrase.

[Assistant] 300

[User]
at what price must an article costing rs. 50 be marked in order that after deducting 10 % from the list price. it may be sold at a profit of 25 % on the cost price?
Answer the question using a single word or phrase.

[Assistant] 69.44

[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 ` ` cat ' '?
Answer the question using a single word or phrase.

[Assistant] 72

[User]
a man two flats for $ 512456 each. on one he gains 20 % while on the other he loses 20 %. how much does he gain or lose in the whole transaction?
Answer the question using a single word or phrase.

[Assistant] 4 %


[User]
a train travels 225 km in 3.5 hours and 370 km in 5 hours. find the average speed of train.
Answer the question using a single word or phrase.

[Assistant] 70 kmph

[User]
the cash difference between the selling prices of an article at a profit of 4 % and 8 % is rs 3. the ratio of two selling prices is
Answer the question using a single word or phrase.

[Assistant] 52 : 54

[User]
if | 4 x + 6 | = 36, then find the sum of the values of x?
Answer the question using a single word or phrase.

[Assistant] - 3

[User]
the speed of a boat in still water in 42 km / hr and the rate of current is 8 km / hr. the distance travelled downstream in 44 minutes is :
Answer the question using a single word or phrase.

[Assistant] 36.6 km

[User]
an article is sold at a certain price. by selling it at 2 / 3 of that price one loses 10 %. find the gain percent at original price.
Answer the question using a single word or phrase.

[Assistant] 35 %


[User]
120 + 520 ÷ 5.00 =?
Answer the question using a single word or phrase.

[User]
if 50 apprentices can finish a job in 4 hours, and 30 journeymen can finish the same job in 6 hours, how much of the job should be completed by 10 apprentices and 15 journeymen in one hour?
Answer the question using a single word or phrase.

[Assistant] 2 / 15

[User]
a shopkeeper sells 600 metres of cloth for rs. 36000 at a loss of rs. 10 per metre. find his cost price for one metre of cloth?
Answer the question using a single word or phrase.

[Assistant] s. 70

[User]
how long will take a leak at the bottom of a tank to empty it if it will take 8 hours to fill it without the leak, but due to the leak it will take 9 hours to be filled?
Answer the question using a single word or phrase.

[Assistant] 72 hours

[User]
on a sum of money, the simple interest for 2 years is rs. 325, while the compound interest is rs. 340, the rate of interest being the same in both the cases. the rate of interest is
Answer the question using a single word or phrase.

[Assistant] 9.23 %


[User]
a reduction of 20 % in the price of salt enables a lady to obtain 10 kgs more for rs. 400, find the original price per kg?
Answer the question using a single word or phrase.

[Assistant] s. 10

[User]
the product of a and b is equal to 1 more than twice the sum of a and b. if b = 7, what is the value of b - a?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
he greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is :
Answer the question using a single word or phrase.

[Assistant] 35 cm

[User]
12 is 6 % of a, and 6 is 12 % of b. c equals b / a. what is the value of c?
Answer the question using a single word or phrase.

[Assistant] 1 / 4

[User]
( 17 ) 4.5 x ( 17 )? = 178
Answer the question using a single word or phrase.

[Assistant] 3.5


[User]
working alone, printers x, y, and z can do a certain printing job, consisting of a large number of pages, in 15, 10, and 20 hours, respectively. what is the ratio of the time it takes printer x to do the job, working alone at its rate, to the time it takes printers y and z to do the job, working together at their individual rates?
Answer the question using a single word or phrase.

[Assistant] 9 / 4

[User]
excluding stoppages, the speed of a train is 35 kmph and including stoppages it is 22 kmph. of how many minutes does the train stop per hour?
Answer the question using a single word or phrase.

[Assistant] 22

[User]
jane and thomas are among the 7 people from which a committee of 3 people is to be selected. how many different possible committees of 3 people can be selected from these 7 people if at least one of either jane or thomas is to be selected?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
the rate of interest on a sum of money is 8 % p. a. for the first 3 years, 4 % p. a. for the next 4 years, and 5 % for the period beyond 7 years. if the s. i, occured on the sum for the total period of 8 years is rs. 540 / -, the sum is
Answer the question using a single word or phrase.

[Assistant] 1,200

[User]
a team of 8 persons joins in a shooting competition. the best marksman scored 85 points. if he had scored 92 points, the average score for the team would have been 84. the number of points, the team scored was
Answer the question using a single word or phrase.

[Assistant] 665


[User]
if tim had lunch at $ 50.50 and he gave 15 % tip, how much did he spend?
Answer the question using a single word or phrase.

[Assistant] $ 58

[User]
if the numbers 1 to 98 are written on 98 pieces of paper, ( one on each ) and one piece is picked at random, then what is the probability that the number drawn is neither prime nor composite?
Answer the question using a single word or phrase.

[Assistant] 1 / 98

[User]
if ( x + 3 ) ^ 2 / ( 3 x + 65 ) = 2, then the difference between the two possible values of x is :
Answer the question using a single word or phrase.

[Assistant] 22

[User]
if there are only 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if the total number of wheels is 70?
Answer the question using a single word or phrase.

[Assistant] 17

[User]
on a purchase of $ 112, a store offered a payment plan consisting of a $ 12 down payment and 12 monthly payments of $ 10 each. what percent of the purchase price, to the nearest tenth of a percent, did the customer pay in interest by using this plan?
Answer the question using a single word or phrase.

[Assistant] 10.7 %


[User]
john bought 9.25 m of cloth for $ 425.50. find the cost price per metre.
Answer the question using a single word or phrase.

[Assistant] 46

[User]
a dog is tied to a tree by a long nylon cord. if the dog runs from the due north side of the tree to the due south side of the tree with the cord extended to its full length at all items, and the dog ran approximately 30 feet, what was the approximate length of the nylon cord e, in feet?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
a can go round a circular path 8 times in 40 minutes. if the diameter of the circle is increased to 10 times the original diameter, then the time required by a to go round the new path once, travelling at the same speed as before is
Answer the question using a single word or phrase.

[Assistant] 50 min

[User]
find compound interest on rs. 8000 at 15 % per annum for 2 years 4 months, compounded annually.
Answer the question using a single word or phrase.

[Assistant] rs 3109

[User]
x is the product of each integer from 1 to 75, inclusive and y = 100 ^ k, where k is an integer. what is the greatest value of k for which y is a factor of x?
Answer the question using a single word or phrase.

[Assistant] 9


[User]
a will was written such that an estate would be divided among 3 guys with the remainder donated to charity. one stipulation in the will is that no one from the guys can receive an amount within 30 % of another's amount. if one of the guys received $ 20000, what is the smallest possible range between the highest and lowest amounts ( rounded to the nearest dollar ) among the 3 guys?
Answer the question using a single word or phrase.

[Assistant] $ 10052

[User]
find 40 % of 440
Answer the question using a single word or phrase.

[Assistant] 176

[User]
in a class of 20 students, 2 students did not borrow any books from the library, 8 students each borrowed 1 book, 5 students each borrowed 2 books, and the rest of the students each borrowed at least 3 books. if the average ( arithmetic mean ) number of books borrowed per student was 2, what is the maximum number of books that any single student could have borrowed?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
mukesh borrowed a sum of rs. 10000 at simple interest from a bank. after two years he takes rs. 12000 more as loan and discharge all the debt at the end of next 3 years depositing rs. 27160 to the bank. what is the rate of interest per annum?
Answer the question using a single word or phrase.

[Assistant] 6 %

[User]
a player holds 13 cards of 4 suits, of which 7 are black and 6 are red. there are twice as many diamonds as spades and twice as many hearts as diamonds. how many clubs does he hold
Answer the question using a single word or phrase.

[Assistant] 6


[User]
a worker can load one truck in 6 hours. a second worker can load the same truck in 8 hours. if both workers load one truck simultaneously while maintaining their constant rates, approximately how long, in hours, will it take them to fill one truck?
Answer the question using a single word or phrase.

[Assistant] 3.4

[User]
here is a simple arithmetical puzzle in his own flowery, poetical language. if one - fifth of a hive of bees flew to the badamba flower, one - third flew to the slandbara, 3 times the difference of these two numbers flew to an arbour, and one bee continued to fly about, attracted on each side by the fragrant ketaki and malati, what was the total number of bees?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
the largest 5 digit number exactly divisible by 91 is?
Answer the question using a single word or phrase.

[Assistant] 99918

[User]
if the digits 35 in the decimal 0.00035 repeat indefinitely, what is the value of ( 10 ^ 5 - 10 ^ 3 ) ( 0.00035 )?
Answer the question using a single word or phrase.

[Assistant] 41

[User]
product of two co - prime numbers is 117. their l. c. m should be
Answer the question using a single word or phrase.

[Assistant] 117


[User]
if to a certain number, 720 be added, and the sum be divided by 125 ; the quotient will be equal to 7392 divided by 462. what is that number?
Answer the question using a single word or phrase.

[Assistant] 1280

[User]
10 women can complete a work in 9 days and 10 children take 12 days to complete the work. how many days will 6 women and 7 children take to complete the work?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
a cricket player whose bowling average was 22.5 runs per wicket, takes 5 wicket for 52 runs in a match. due to this his average decreases by 0.5. what will be the number of wickets taken by him till the last match?
Answer the question using a single word or phrase.

[Assistant] 121

[User]
the radius of the wheel of a bus is 35 cms and the speed of the bus is 66 km / h, then the r. p. m. ( revolutions per minutes ) of the wheel is
Answer the question using a single word or phrase.

[Assistant] 500

[User]
a furniture manufacturer has two machines, but only one can be used at a time. machine e is utilized during the first shift and machine b during the second shift, while both work half of the third shift. if machine e can do the job in 12 days working two shifts and machine b can do the job in 15 days working two shifts, how many days will it take to do the job with the current work schedule?
Answer the question using a single word or phrase.

[Assistant] 9


[User]
a train 110 m long is running with a speed of 84 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?
Answer the question using a single word or phrase.

[Assistant] 4.4 sec

[User]
a certain debt will be paid in 52 installments from january 1 to december 31 of a certain year. each of the first 25 payments is to be $ 500 ; each of the remaining payments is to be $ 100 more than each of the first 25 payments. what is the average ( arithmetic mean ) payment that will be made on the debt for the year?
Answer the question using a single word or phrase.

[Assistant] 552

[User]
there are 6 fictions and 6 non - fictions. how many cases are there such that 2 fictions and 2 non - fictions are selected from them?
Answer the question using a single word or phrase.

[Assistant] 225

[User]
in a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding question. if the 10 questions on the quiz are worth a total of 340 points, how many points is the third question worth?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
how many natural numbers are there between 43 and 200 which are exactly divisible by 6?
Answer the question using a single word or phrase.

[Assistant] 26


[User]
to produce an annual income of rs. 800 from a 8 % stock at 90, what is the amount of stock needed?
Answer the question using a single word or phrase.

[Assistant] 10000

[User]
in a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates ( 0, 7.5 ), ( 8, 0 ), ( 0, - 7.5 ), ( - 8, 0 )?
Answer the question using a single word or phrase.

[Assistant] 120

[User]
on a map, 1.5 inches represent 24 miles. how many miles approximately is the distance if you measured 44 centimeters assuming that 1 - inch is 2.54 centimeters?
Answer the question using a single word or phrase.

[Assistant] 277

[User]
if 0.12 ÷ x 2 = 12, than x =?
Answer the question using a single word or phrase.

[Assistant] 0.1

[User]
a woman complete a journey in 30 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] 672 km.


[User]
in a class of 35 students 26 play football and play 20 long tennis, if 17 play above, many play neither?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
a cistern has a leak which would empty the cistern in 20 minutes. a tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. how many liters does the cistern hold?
Answer the question using a single word or phrase.

[Assistant] 480

[User]
the least whole number which when subtracted from both the terms of the ratio 6 : 7 to give a ratio less than 16 : 21, is?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
a part - time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee's total income did not change. by what percent should the number of hours worked be increased?
Answer the question using a single word or phrase.

[Assistant] 25 %

[User]
a and b can do a piece of work in 8 days. with the help of c they finish the work in 4 days. c alone can do that piece of work in?
Answer the question using a single word or phrase.

[Assistant] 8 days


[User]
patrick purchased 60 pencils and sold them at a loss equal to the selling price of 20 pencils. the cost of 60 pencils is how many times the selling price of 60 pencils?
Answer the question using a single word or phrase.

[Assistant] 1.33

[User]
the distance between two cities a and b is 600 km. a train starts from a at 8 a. m. and travel towards b at 60 km / hr. another train starts from b at 9 a. m and travels towards a at 75 km / hr. at what time do they meet?
Answer the question using a single word or phrase.

[Assistant] 01 pm

[User]
the present worth of a sum due sometime hence is rs. 576 and the banker ’ s gain is rs. 16. the true discount is :
Answer the question using a single word or phrase.

[Assistant] 96

[User]
car a runs at the speed of 52 km / hr & reaches its destination in 10 hr. car b runs at the speed of 46 km / h & reaches its destination in 8 h. what is the respective ratio of distances covered by car a & car b?
Answer the question using a single word or phrase.

[Assistant] 65 : 41

[User]
the distance from city a to city b is 60 miles. while driving from city a to city b, bob drives at a constant speed of 40 miles per hour. alice leaves city a 30 minutes after bob. what is the minimum constant speed in miles per hour that alice must exceed in order to arrive in city b before bob?
Answer the question using a single word or phrase.

[Assistant] 60


[User]
if 18 persons can build a wall 140 m long in 42 days, the number of days that 30 persons will take to complete a similar wall 100 m long, is?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
a pharmaceutical company received $ 7 million in royalties on the first $ 20 million in sales of the generic equivalent of one of its products and then $ 9 million in royalties on the next $ 108 million in sales. by approximately what percent did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales?
Answer the question using a single word or phrase.

[Assistant] 76 %

[User]
the sum of three consecutive even numbers is 93. find the middle number of the three?
Answer the question using a single word or phrase.

[Assistant] 31

[User]
an error 6 % in excess is made while measuring the side of a square. the percentage of error in the calculated area of the square is :
Answer the question using a single word or phrase.

[Assistant] 12.36

[User]
12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 2 cm height. find the diameter of each sphere.
Answer the question using a single word or phrase.

[Assistant] 4 cm


[User]
what is the decimal equivalent of ( 1 / 9 ) ^ 2?
Answer the question using a single word or phrase.

[Assistant] 0.0123

[User]
7589 -? = 3434
Answer the question using a single word or phrase.

[Assistant] 4155

[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 30 overs to reach the target of 282 runs?
Answer the question using a single word or phrase.

[Assistant] 8.3

[User]
with a slope of 4, with a straight line in the xy - plane which has a point with x - coordinate of the point 14 and y - coordinate 19, find the y - intercept.
Answer the question using a single word or phrase.

[Assistant] - 37

[User]
elena ’ s bread recipe calls for 3 ounces of butter for each 4 cups of flour used. she needs to make 4 times the original recipe. if 12 ounces of butter is used, then how many cups of flour are needed?
Answer the question using a single word or phrase.

[Assistant] 16


[User]
excluding stoppages, the speed of a bus is 52 kmph and including stoppages, it is 45 kmph. for how many minutes does the bus stop per hour?
Answer the question using a single word or phrase.

[Assistant] 8 min

[User]
what is the smallest positive integer x, such that √ 392 x is an integer?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
the cost of an article is decreased by 10 %. if the original cost is $ 60, find the decrease cost.
Answer the question using a single word or phrase.

[Assistant] 54

[User]
if 4 people are selected from a group of 5 married couples, what is the probability that none of them would be married to each other?
Answer the question using a single word or phrase.

[Assistant] 8 / 21

[User]
a leak in the bottom of a tank can empty the full tank in 6 hours. an inlet pipe fills water at the rate of 2.5 liters per minute. when the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. the capacity of the tank is?
Answer the question using a single word or phrase.

[Assistant] 3600


[User]
find the simple interest on $ 2500 for 3 years at 10 % per annum?
Answer the question using a single word or phrase.

[Assistant] $ 750

[User]
p and q can complete a work in 40 days and 24 days respectively. p alone started the work and q joined him after 16 days till the completion of the work. how long did the work last?
Answer the question using a single word or phrase.

[Assistant] 25 days

[User]
in an election between the two candidates, the candidates who gets 70 % of votes polled is winned by 360 vote ’ s majority. what is the total number of votes polled?
Answer the question using a single word or phrase.

[Assistant] 900

[User]
if the price of petrol increases by 25, by how much must a user cut down his consumption so that his expenditure on petrol remains constant?
Answer the question using a single word or phrase.

[Assistant] 20 %

[User]
an association of mathematics teachers has 1,260 members. only 640 of these members cast votes in the election for president of the association. what percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast?
Answer the question using a single word or phrase.

[Assistant] 30.47 %


[User]
there are 10 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] 45

[User]
by selling 24 pencils for a rupee a man loses 20 %. how many for a rupee should he sell in order to gain 20 %?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
ramesh purchased a refrigerator for rs. 13500 after getting a discount of 20 % on the labelled price. he spent rs. 125 on transport and rs. 250 on installation. at what price should it be sold so that the profit earned would be 10 % if no discount was offered?
Answer the question using a single word or phrase.

[Assistant] 18975

[User]
suresh can complete a job in 15 hours. ashutosh alone can complete the same job in 15 hours. suresh works for 9 hours and then the remaining job is completed by ashutosh. how many hours will it take ashutosh to complete the remaining job alone?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
water is leaking out from a cylinder container at the rate of 0.31 m ^ 3 per minute. after 10 minutes, the water level decreases 4 meters. what is value of the radius?
Answer the question using a single word or phrase.

[Assistant] 0.5