[User]
solve below question 3 x - 5 = - 20
Answer the question using a single word or phrase.

[Assistant] - 5

[User]
the average of runs of a cricket player of 10 innings was 30. how many runs must he make in his next innings so as to increase his average of runs by 4?
Answer the question using a single word or phrase.

[Assistant] 74

[User]
if 30 % of a number is equal to one - fourth of another number, what is the ratio of first number to the second number?
Answer the question using a single word or phrase.

[Assistant] 5 : 6

[User]
a cistern is two - third full of water. pipe a can fill the remaining part in 12 minutes and pipe b in 8 minutes. once the cistern is emptied, how much time will they take to fill it together completely?
Answer the question using a single word or phrase.

[Assistant] 14.4 min

[User]
what should be added to 5021 so that it may become a perfect square?
Answer the question using a single word or phrase.

[Assistant] 20


[User]
when a student joe, weighing 44 kg, joins a group of students whose average weight is 30 kg, the average weight goes up by 1 kg. subsequently, if two students, excluding joe, leave the group the average weight comes back to 30 kg. what is the difference between the average weight of the two students who left and the weight of joe?
Answer the question using a single word or phrase.

[Assistant] 7 kg

[User]
70 is what percent of 125?
Answer the question using a single word or phrase.

[Assistant] 56 %

[User]
( 525 + 275 ) ã — 4 ã — ( 3 + 2 ) =?
Answer the question using a single word or phrase.

[Assistant] 16000

[User]
if a 2 - b 2 = 8 and a * b = 2, find a 4 + b 4.
Answer the question using a single word or phrase.

[Assistant] 72

[User]
when positive integer x is divided by positive integer y, the remainder is 5.76. if x / y = 96.12, what is the value of y?
Answer the question using a single word or phrase.

[Assistant] 48


[User]
in a group of cows and hens, the number of legs are 20 more than twice the number of heads. the number of cows is :
Answer the question using a single word or phrase.

[Assistant] 10

[User]
two trains of equal length, running with the speeds of 60 and 40 kmph, take 55 seconds to cross each other while they are running in the same direction. what time will they take to cross each other if they are running in opposite directions?
Answer the question using a single word or phrase.

[Assistant] 11 sec

[User]
the instructions state that cheryl needs 5 / 9 square yards of one type of material and 1 / 3 square yards of another type of material for a project. she buys exactly that amount. after finishing the project, however, she has 8 / 24 square yards left that she did not use. what is the total amount of square yards of material cheryl used?
Answer the question using a single word or phrase.

[Assistant] 5 / 9

[User]
what is the value of n if the sum of the consecutive odd intergers q from 1 to n equals 169?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
the owner of a furniture shop charges his customer 20 % more than the cost price. if a customer paid rs. 3600 for a computer table, then what was the cost price of the computer table?
Answer the question using a single word or phrase.

[Assistant] 3000


[User]
a certain car traveled twice as many miles from town a to town b as it did from town b to town c. from town a to town b, the car averaged 12 miles per gallon, and from town b to town c, the car averaged 11 miles per gallon. what is the average miles per gallon that the car achieved on its trip from town a through town b to town c?
Answer the question using a single word or phrase.

[Assistant] 13.5

[User]
because he ’ s taxed by his home planet, mork pays a tax rate of 30 % on his income, while mindy pays a rate of only 20 % on hers. if mindy earned 3 times as much as mork did, what was their combined tax rate?
Answer the question using a single word or phrase.

[Assistant] 22.5 %

[User]
sahil purchased a machine at rs 9000, then got it repaired at rs 5000, then gave its transportation charges rs 1000. then he sold it with 50 % of profit. at what price he actually sold it.
Answer the question using a single word or phrase.

[Assistant] rs. 22500

[User]
if a lends rs. 3500 to b at 10 % per annum and b lends the same sum to c at 15 % per annum then the gain of b in a period of 3 years is?
Answer the question using a single word or phrase.

[Assistant] 525

[User]
two twins sisters sita and geeta were standing back to back and suddenly they started running in opposite directions for 10 km each. then they turned left and ran for another 7.5 km. what is the distance ( in kilometers ) between the the two twins when they stop?
Answer the question using a single word or phrase.

[Assistant] 25


[User]
a train running at the speed of 30 km / hr crosses a pole in 6 sec. what is the length of the train?
Answer the question using a single word or phrase.

[Assistant] 50 m

[User]
in how many ways can the integer 15 be expressed as a product of two different positive integers?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
if 5 x + 3 = 10 x – 17, what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
a boat having a length 3 m and breadth 2 m is floating on a lake. the boat sinks by 1.8 cm when a man gets on it. the mass of man is
Answer the question using a single word or phrase.

[Assistant] 108 kg

[User]
one pipe can fill a tank three times as fast as another pipe. if together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in?
Answer the question using a single word or phrase.

[Assistant] 144 min


[User]
two good train each 100 m long, are running in opposite directions on parallel tracks. their speeds are 45 km / hr and 30 km / hr respectively. find the time taken by the slower train to pass the driver of the faster one.
Answer the question using a single word or phrase.

[Assistant] 9.6 sec

[User]
what is the total number of positive integers that are less than 800 and that have no positive factor in common with 800 other than 1?
Answer the question using a single word or phrase.

[Assistant] 320

[User]
the amount of time that three people worked on a special project was in the ratio of 1 to 2 to 3. if the project took 120 hours, how many more hours did the hardest working person work than the person who worked the least?
Answer the question using a single word or phrase.

[Assistant] 40 hours

[User]
two trains start at same time from two stations and proceed towards each other at the rate of 20 km / hr and 25 km / hr respectively. when they meet, it is found that one train has traveled 50 km more than the other. what is the distance between the two stations?
Answer the question using a single word or phrase.

[Assistant] 450 km

[User]
a test has 150 questions. each question has 5 options, but only 1 option is correct. if test - takers mark the correct option, they are awarded 1 point. however, if an answer is incorrectly marked, the test - taker loses 0.25 points. no points are awarded or deducted if a question is not attempted. a certain group of test - takers attempted different numbers of questions, but each test - taker still received the same net score of 40. what is the maximum possible number of such test - takers?
Answer the question using a single word or phrase.

[Assistant] 23


[User]
the cost of 10 kg of mangos is equal to the cost of 24 kg of rice. the cost of 6 kg of flour equals the cost of 2 kg of rice. the cost of each kg of flour is $ 24. find the total cost of 4 kg of mangos, 3 kg of rice and 5 kg of flour?
Answer the question using a single word or phrase.

[Assistant] 1027.2

[User]
in one hour, a boat goes 11 km along the steram and 5 km against the stream. the speed of the boat in still waer ( in km / hr ) is :
Answer the question using a single word or phrase.

[Assistant] 8

[User]
if n is the product of integers from 1 to 20 inclusive what is the greatest integer k for which 2 ^ k is a factor of n?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
a dog travelled for 2 hours. he covered the first half of the distance at 10 kmph and remaining half of the distance at 5 kmph. find the distance travelled by the dog?
Answer the question using a single word or phrase.

[Assistant] 20 km

[User]
find the value of 72519 x 9999 = m?
Answer the question using a single word or phrase.

[Assistant] 725117481


[User]
3, 15, x, 51, 53, 159161 value of x?
Answer the question using a single word or phrase.

[Assistant] 17

[User]
a, b and c are partners. a receives 2 / 3 of profits, b and c dividing the remainder equally. a's income is increased by rs. 300 when the rate to profit rises from 5 to 7 percent. find the capital of a?
Answer the question using a single word or phrase.

[Assistant] 15000

[User]
how many zeros does 100! end with?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
how many two - digit numbers yield a remainder of 3 when divided by both 4 and 14?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
a squirrel can climb 5 metres of a pole in one minute but slips 2 metres in the next minute. how much time will the squirrel take to climb 26 metres?
Answer the question using a single word or phrase.

[Assistant] 15 minutes


[User]
a certain roller coaster has 2 cars, and a passenger is equally likely to ride in any 1 of the 2 cars each time that passenger rides the roller coaster. if a certain passenger is to ride the roller coaster 2 times, what is the probability that the passenger will ride in each of the 2 cars?
Answer the question using a single word or phrase.

[Assistant] 1 / 2

[User]
if a rectangular room measures 12 meters by 6 meters by 4 meters, what is the volume of the room in cubic centimeters? ( 1 meter = 100 centimeters )
Answer the question using a single word or phrase.

[Assistant] 288, 000,000

[User]
a man invested rs. 4455 in rs. 10 shares quoted at rs. 8.25. if the rate of dividend be 12 %, his annual income is :
Answer the question using a single word or phrase.

[Assistant] rs. 648

[User]
in a forest 160 deer were caught, tagged with electronic markers, then released. a week later, 50 deer were captured in the same forest. of these 50 deer, it was found that 5 had been tagged with the electronic markers. if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest?
Answer the question using a single word or phrase.

[Assistant] 1,600

[User]
mike drives his new corvette from san francisco to las vegas, a journey of 640 miles. he drives the first half of the trip at an average rate of 80 miles per hour, but has to slow down for the second half of his journey. if the second half of the trip takes him 200 percent longer than the first half, what is his average rate w in miles per hour for the entire trip?
Answer the question using a single word or phrase.

[Assistant] w = 40.0


[User]
the prices of tea and coffee per kg were the same in june. in july the price of coffee shot up by 20 % and that of tea dropped by 10 %. if in july, a mixture containing equal quantities of tea and coffee costs 50 / kg. how much did a kg of coffee cost in june?
Answer the question using a single word or phrase.

[Assistant] 47.61

[User]
1398 x 1398
Answer the question using a single word or phrase.

[Assistant] 1954404

[User]
a man can swim in still water at 7.5 km / h, but takes twice as long to swim upstream than downstream. the speed of the stream is?
Answer the question using a single word or phrase.

[Assistant] 2.5

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

[Assistant] 3 : 4

[User]
in a express train passengers traveling in a. c. sleeper class, first class and sleeper class are in the ratio 1 : 2 : 3, and fare to each class in the ratio 5 : 4 : 2. if the income from this train is rs. 57000, the income of a. c. sleeper class is
Answer the question using a single word or phrase.

[Assistant] rs. 15000


[User]
how many positive factors do 150 and 90 have in common?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
mona and sona go around a circular track of length 400 m on a bike at speeds of 18 kmph and 36 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] 80

[User]
the rate of interest on a sum of money is 11 % 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] 1,000

[User]
if the number 5 * 2 is divisible by 6, then * =?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
a can contains a mixture of liquids a and b is the ratio 7 : 5. when 12 litres of mixture are drawn off and the can is filled with b, the ratio of a and b becomes 7 : 9. how many liter of liquid a was contained by the can initially?
Answer the question using a single word or phrase.

[Assistant] 28


[User]
a bag marked at $ 200 is sold for $ 120. the rate of discount is?
Answer the question using a single word or phrase.

[Assistant] 40 %

[User]
the sale price of a trolley bag including the sale tax is rs. 1120. the rate of sale tax is 12 %. if the shopkeeper has made a profit of 25 %, the cost price of the trolley bag is :
Answer the question using a single word or phrase.

[Assistant] rs 800

[User]
a train 125 m long passes a man, running at 10 km / hr in the same direction in which the train is going, in 10 sec. the speed of the train is?
Answer the question using a single word or phrase.

[Assistant] 55 km / hr

[User]
the distance between west - town to east - town is 14 kilometers. two birds start flying simultaneously towards one another, the first leaving from west - town at a speed of 5 kilometers per minute and the second bird, leaving from east - town, at a speed of 2 kilometers per minute. what will be the distance, in kilometers, between the meeting point and west - town?
Answer the question using a single word or phrase.

[Assistant] 10.

[User]
a rectangular room has the rectangular shaped rug shown as above figure such that the rug ’ s area is 220 square feet and its length is 12 feet longer than its width. if the uniform width between the rug and room is 12 feet, what is the area of the region uncovered by the rug ( shaded region ), in square feet?
Answer the question using a single word or phrase.

[Assistant] 1344


[User]
little john had $ 10.10. he spent $ 3.25 on sweets and gave to his two friends $ 2.20 each. how much money was left?
Answer the question using a single word or phrase.

[Assistant] $ 2.45

[User]
evaluate : 37 x 181 + 37 x 319
Answer the question using a single word or phrase.

[Assistant] 18500

[User]
the size of a television screen is given as the length of the screen's diagonal. if the screens were flat, then the area of a square 22 - inch screen would be how many square inches greater than the area of a square 20 - inch screen?
Answer the question using a single word or phrase.

[Assistant] 42

[User]
how many positive integers less than 600 can be formed using the numbers 1, 2, 3, 5 and 6 for the digits?
Answer the question using a single word or phrase.

[Assistant] 130

[User]
if a and b are the roots of the equation x 2 - 5 x + 5 = 0, then the value of a 2 + b 2 is :
Answer the question using a single word or phrase.

[Assistant] 15


[User]
two cars a and b are running towards each other from different places 88 km apart. if the ratio of the speeds of the cars a and b is 5 : 6 and the speed of the car b is 90 km per hour then after how long will the two meet each other?
Answer the question using a single word or phrase.

[Assistant] 32 minutes

[User]
find the angle between the hour hand and the minute hand of a clock when 3.25.
Answer the question using a single word or phrase.

[Assistant] 47.5

[User]
a chocolate manufacturer produces 400 units of a certain model each month at a cost to the manufacturer of £ 40 per unit and all of the produced units are sold each month. what is the minimum selling price per unit that will ensure that the monthly profit ( revenue from sales minus production costs ) on the sales of these units will be at least £ 40000?
Answer the question using a single word or phrase.

[Assistant] 440

[User]
1,000 ^ 2 + 1,001 ^ 2 + 1,002 ^ 2 + 1,003 ^ 2 + 1,004 ^ 2 + 1,005 ^ 2 + 1,006 ^ 2 =
Answer the question using a single word or phrase.

[Assistant] 6, 042,091

[User]
( 112 x 54 ) =?
Answer the question using a single word or phrase.

[Assistant] 70000


[User]
the circumferences of two circles are 264 meters and 352 meters. find the difference between the areas of the larger and the smaller circles.
Answer the question using a single word or phrase.

[Assistant] 4312

[User]
find avrg speed if a man travels at speed of 15 km / hr up and 28 km / hr dawn at an altitude of 230 m.
Answer the question using a single word or phrase.

[Assistant] 19.5

[User]
an amount at compound interest sums to rs. 17640 / - in 2 years and to rs. 21168 / - in 3 years at the same rate of interest. find the rate percentage?
Answer the question using a single word or phrase.

[Assistant] 20 %

[User]
in the above number, a and b represent the tens and units digits, respectively. if the above number is divisible by 25, what is the greatest possible value of b x a?
Answer the question using a single word or phrase.

[Assistant] 35

[User]
a train 100 meters long completely crosses a 300 meters long bridge in 24 seconds. what is the speed of the train is?
Answer the question using a single word or phrase.

[Assistant] 60 kmph


[User]
( 0.15 ) ( power 3 ) - ( 0.06 ) ( power 3 ) / ( 0.15 ) ( power 2 ) + 0.009 + ( 0.06 ) ( power 2 ) is :
Answer the question using a single word or phrase.

[Assistant] 0.09

[User]
if the remainder is 8 when positive integer n is divided by 12, what is the remainder when n is divided by 6?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
if 9 men do a work in 80 days, in how many days will 20 men do it?
Answer the question using a single word or phrase.

[Assistant] 36 days

[User]
if a 6 cm cube is cut into 1 cm cubes, then what is the percentage increase in the surface area of the resulting cubes?
Answer the question using a single word or phrase.

[Assistant] 500 %

[User]
if 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 =?
Answer the question using a single word or phrase.

[Assistant] 17.2


[User]
what is the rate percent when the simple interest on rs. 2000 amount to rs. 500 in 2 years?
Answer the question using a single word or phrase.

[Assistant] 12.5 %

[User]
a small pool filled only with water will require an additional 400 gallons of water in order to be filled to 80 % of its capacity. if pumping in these additional 400 gallons of water will increase the amount of water in the pool by 30 %, what is the total capacity of the pool in gallons?
Answer the question using a single word or phrase.

[Assistant] 1750

[User]
a train 90 m long is running at 20 kmph. in how much time will it pass a platform 80 m long?
Answer the question using a single word or phrase.

[Assistant] 13.6 seconds

[User]
x varies inversely as square of y. given that y = 2 for x = 1. the value of x for y = 6 will be equal to :
Answer the question using a single word or phrase.

[Assistant] 1 / 9

[User]
5 / 4 of all married couples have more than one child. 2 / 5 of all married couples have more than 3 children. what fraction of all married couples have 2 or 3 children?
Answer the question using a single word or phrase.

[Assistant] 17 / 20


[User]
in the first 10 overs of a cricket game, the run rate was only 4.6. what should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Answer the question using a single word or phrase.

[Assistant] 5.9

[User]
calculate the dividend from moses's stock, if he invested rs. 3000 at 72 to obtain an income of rs. 210.
Answer the question using a single word or phrase.

[Assistant] 5.04

[User]
perimeter of the back wheel = 9 feet, front wheel = 7 feet on a certain distance, the front wheel gets 10 revolutions more than the back wheel. what is the distance?
Answer the question using a single word or phrase.

[Assistant] 315

[User]
how many positive integers less than 9,000 are there in which the sum of the digits equals 5?
Answer the question using a single word or phrase.

[Assistant] 56

[User]
a certain airline's fleet consisted of 110 type a planes at the beginning of 1980. at the end of each year, starting with 1980, the airline retired 3 of the type a planes and acquired 4 new type b plans. how many years did it take before the number of type a planes left in the airline's fleet was less than 50 percent of the fleet?
Answer the question using a single word or phrase.

[Assistant] 16


[User]
how many positive integers less than 80 are multiples of 4 but not multiples of 6?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
two employees x and y are paid a total of rs. 550 per week by their employer. if x is paid 120 percent of the sum paid to y, how much is y paid per week?
Answer the question using a single word or phrase.

[Assistant] rs. 250

[User]
set a contains all the even numbers between 32 and 80 inclusive. set b contains all the even numbers between 62 and 110 inclusive. what is the difference between the sum of elements of set b and the sum of the elements of set a?
Answer the question using a single word or phrase.

[Assistant] 750

[User]
company c produces toy trucks at a cost of $ 5.00 each for the first 100 trucks and $ 3.50 for each additional truck. if 500 toy trucks were produced by company c and sold for $ 9.00 each, what was company c ’ s gross profit?
Answer the question using a single word or phrase.

[Assistant] $ 2,600

[User]
p and q invested in a business. the profit earned was divided in the ratio 3 : 5. if p invested rs 12000, the amount invested by q is
Answer the question using a single word or phrase.

[Assistant] 30000


[User]
in a maths test, students were asked to find 5 / 16 of a certain number. one of the students by mistake found 5 / 6 th of that number and his answer was 300 more than the correct answer. find the number.
Answer the question using a single word or phrase.

[Assistant] 576

[User]
seed mixture x is 40 percent ryegrass and 60 percent bluegrass by weight ; seed mixture y is 25 percent ryegrass and 75 percent fescue. if a mixture of x and y contains 30 percent ryegrass, what percent of the weight of this mixture is x?
Answer the question using a single word or phrase.

[Assistant] 33.33 %

[User]
how many multiples of 2 are there between 1 and 50, exclusive?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
a library branch originally contained 18365 volumes, 30 % of which were fiction novels. 1 / 3 of the volumes were transferred to another location and 1 / 3 of the volumes transferred were fiction novels. what percent of the remaining collection was fiction novels?
Answer the question using a single word or phrase.

[Assistant] 28.3 %

[User]
a person spent rs. 5,040 from his salary on food and 5,000 on house rent. after that he was left with 20 % of his monthly salary. what is his monthly salary?
Answer the question using a single word or phrase.

[Assistant] 12,550


[User]
how much more would rs. 30000 fetch, after two years, if it is put at 20 % p. a. compound interest payable half yearly than if is put at 20 % p. a. compound interest payable yearly?
Answer the question using a single word or phrase.

[Assistant] 723

[User]
a survey was sent to 70 customers, 7 of whom responded. then the survey was redesigned and sent to another 63 customers, 9 of whom responded. by approximately what percent did the response rate increase from the original survey to the redesigned survey?
Answer the question using a single word or phrase.

[Assistant] 4 %

[User]
what number should replace the question mark? 3, 30, 11, 24, 19, 18, - - -?
Answer the question using a single word or phrase.

[Assistant] 27

[User]
a factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, 20 balls per box. if 104 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
how many seconds will a train 250 meters long take to cross a platform 200 meters long if the speed of the train is 90 kmph?
Answer the question using a single word or phrase.

[Assistant] 18 sec


[User]
if x / y = 7 / 3, then ( x + y ) / ( x - y ) =?
Answer the question using a single word or phrase.

[Assistant] 5 / 2

[User]
working at their respective constant rates, machine a makes 100 copies in 10 minutes and machine b makes 150 copies in 15 minutes. if these machines work simultaneously at their respective rates for 30 minutes, what is the total number of copies that they will produce?
Answer the question using a single word or phrase.

[Assistant] 600

[User]
the banker's gain on a sum due 3 years hence at 12 % per annum is rs. 360. the banker's discount is :
Answer the question using a single word or phrase.

[Assistant] rs. 1360

[User]
calculate the sum of first 19 natural numbers.
Answer the question using a single word or phrase.

[Assistant] 190

[User]
a is twice as good a workman as b and they took 5 days together to do the work b alone can do it in?
Answer the question using a single word or phrase.

[Assistant] 15 days


[User]
carl is facing very difficult financial times and can only pay the interest on a $ 10,000 loan he has taken. the bank charges him a quarterly compound rate of 5 %. what is the approximate interest he pays annually?
Answer the question using a single word or phrase.

[Assistant] $ 2150

[User]
in measuring the sides of a rectangle, one side is taken 6 % in excess and other 5 % in deficit. find the error percentage in the area calculated from these measurements.
Answer the question using a single word or phrase.

[Assistant] 0.7 %

[User]
in a division, divident is 689, divisior is 36 and quotient is 19. find the remainder.
Answer the question using a single word or phrase.

[Assistant] 5

[User]
the product of two numbers is 120 and the sum of their squares is 289. the sum of the number is
Answer the question using a single word or phrase.

[Assistant] 23

[User]
a certain telephone company offers two plans, a and b. under plan a, the company charges a total of $ 0.60 for the first 8 minutes of each call and $ 0.06 per minute thereafter. under plan b, the company charges $ 0.08 per minute of each call. what is the duration of a call, in minutes, for which the company charges the same amount under plan a and under plan b?
Answer the question using a single word or phrase.

[Assistant] 6


[User]
the r train leaves station a moving at a constant speed, and passes by stations b and c, in this order. it takes the r train 7 hours to reach station b, and 5 additional hours to reach station c. the distance between stations a and b is m kilometers longer than the distance between stations b and c. what is the distance between stations a and c in terms of m?
Answer the question using a single word or phrase.

[Assistant] 6 m

[User]
a shirt goes on sale for 50 % of its original price. one week later, the sale price is marked down 10 %. the final price is what percent of the original price?
Answer the question using a single word or phrase.

[Assistant] 45 %

[User]
each child has 2 pencils and 13 skittles. if there are 8 children, how many pencils are there in total?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
in what time will a railway train 56 m long moving at the rate of 39 kmph pass a telegraph post on its way?
Answer the question using a single word or phrase.

[Assistant] 5 sec

[User]
sachin is younger than rahul by 9 years. if the ratio of their ages is 7 : 9, find the age of sachin
Answer the question using a single word or phrase.

[Assistant] 31.5


[User]
a, b and c rent a pasture. if a puts 10 oxen for 7 months, b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs. 245, then how much amount should c pay as his share of rent?
Answer the question using a single word or phrase.

[Assistant] 63

[User]
find the probability that a number selected from numbers 1, 2, 3,..., 35 is a prime number, when each of the given numbers is equally likely to be selected?
Answer the question using a single word or phrase.

[Assistant] 11 / 35

[User]
if 5 machines can produce 20 units in 10 hours, how long would it take 10 to produce 60 units?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
a and b started a business jointly a's investment was thrice the investment of b and the period of his investment was two times the period of investment of b. if b received rs. 4000 as profit, then their total profit is?
Answer the question using a single word or phrase.

[Assistant] 28000

[User]
the average ( arithmetic mean ) of 27, 32, and 64 is 6 less than the average of 29, 42, and x. what is x?
Answer the question using a single word or phrase.

[Assistant] 70


[User]
in a class of 40 students, 10 did not opt for math. 15 did not opt for science and 2 did not opt for either. how many students of the class opted for both math and science?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
a car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. if the car traveled 15 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
sahil purchased a machine at rs 14000, then got it repaired at rs 5000, then gave its transportation charges rs 1000. then he sold it with 50 % of profit. at what price he actually sold it.
Answer the question using a single word or phrase.

[Assistant] rs. 30000

[User]
the salary of a person was reduced by 50 %. by what percent should his reduced salary be raised so as to bring it at par with his original salary?
Answer the question using a single word or phrase.

[Assistant] 100 %

[User]
the average of first seven multiples of 3 is :
Answer the question using a single word or phrase.

[Assistant] 12


[User]
there are 25 stations between hyderabad and bangalore. how many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
Answer the question using a single word or phrase.

[Assistant] 702

[User]
look carefully for the pattern, and then choose which pair of numbers comes next. 28 25 5 21 18 5 14
Answer the question using a single word or phrase.

[Assistant] 11 5

[User]
if in a cricket one day match, there were no wide balls, no wides, no extras and no overthrows. what is the maximum number of runs that a batsman can score in 35 overs in an ideal case scenario?
Answer the question using a single word or phrase.

[Assistant] 1158

[User]
there is a total of 90 marbles in a box, each of which is red, green, blue, or white. if one marble is drawn from the box at random, the probability that it will be white is 1 / 3 and the probability that it will be green is 1 / 5. what is the probability that the marble will be either red or blue?
Answer the question using a single word or phrase.

[Assistant] 7 / 15

[User]
10, 15, 22.5, 33.75, 50.62, (... )
Answer the question using a single word or phrase.

[Assistant] 75.93


[User]
a coin is tossed twice if the coin shows head it is tossed again but if it shows a tail then a die is tossed. if 8 possible outcomes are equally likely. find the probability that the die shows a number greater than 4, if it is known that the first throw of the coin results in a tail
Answer the question using a single word or phrase.

[Assistant] 1 / 3

[User]
john purchased a grinder and a mobile for rs. 15000 & rs. 10000 respectively. he sold the grinder at a loss of 4 % and the mobile phone at a profit of 10 %. overall how much he make a profit.
Answer the question using a single word or phrase.

[Assistant] s. 400

[User]
a boat crossed a lake from north to east at the speed of 10 km / h, entered a river and covered twice as much distance going upstream at 9 km / h. it then turned around and stopped at the south shore of the lake. if it averaged 3.8 km / h that day, what was its approximate downstream speed?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
a train covers a distance of 20 km in 20 min. if it takes 9 sec to pass a telegraph post, then the length of the train is?
Answer the question using a single word or phrase.

[Assistant] 150 m

[User]
a 180 m long train is running at 72 kmph. if it crossed the platform in 20 sec. then find the platform length?
Answer the question using a single word or phrase.

[Assistant] 220 m


[User]
two cars start at the same time from opposite ends of a highway that is 333 miles long. one car is riding at 54 mph and the second car is riding at 57 mph. how long after they begin will they meet?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
it takes joey the postman 1 hours to run a 1 mile long route every day. he delivers packages and then returns to the post office along the same path. if the average speed of the round trip is 5 mile / hour, what is the speed with which joey returns?
Answer the question using a single word or phrase.

[Assistant] 1.67

[User]
the average weight of a class is x pounds. when a new student weighing 70 pounds joins the class, the average decreases by 1 pound. in a few months the student ’ s weight increases to 110 pounds and the average weight of the class becomes x + 4 pounds. none of the other students ’ weights changed. what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 26

[User]
the market value of a 10.5 % stock, in which an income of rs. 756 is derived by investing rs. 6500, brokerage being 1 / 4 %, is :
Answer the question using a single word or phrase.

[Assistant] 90.03

[User]
a factory produces 5500 toys per week. if the workers at this factory work 5 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
Answer the question using a single word or phrase.

[Assistant] 1100 toys


[User]
for any positive integer n, the sum of the first n positive integers equals n ( n + 1 ) / 2. what is the sum of all the even integers between 1 and 100?
Answer the question using a single word or phrase.

[Assistant] 2550

[User]
the average weight of a, b, c is 45 kg. the avg wgt of a & b be 40 kg & that of b, c be 43 kg. find the wgt of b.
Answer the question using a single word or phrase.

[Assistant] 84 kg

[User]
what is the area of a circle with the circumference of 88 cms?
Answer the question using a single word or phrase.

[Assistant] none of these

[User]
how many different positive integers exist between 10 ^ 2 and 10 ^ 3, the sum of whose digits is equal to 2?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
how many litres of pure acid are there in 8 litres of a 20 % solution
Answer the question using a single word or phrase.

[Assistant] 1.6


[User]
evaluate : 1024 x 237 + 976 x 237
Answer the question using a single word or phrase.

[Assistant] 474000

[User]
gary ’ s gas station serves an average of 16 cars per hour on saturdays, 10 cars per hour on sundays, and 9 cars per hour on all other days of the week. if the station is open from 6 a. m. to 10 p. m. every day, how many cars does gary ’ s station serve over the course of a typical week?
Answer the question using a single word or phrase.

[Assistant] 1,136

[User]
what is the remainder when 81 + 82 + 83 … … + 815 is divided by 6
Answer the question using a single word or phrase.

[Assistant] 2

[User]
the avg weight of a, b & c is 50 kg. if d joins the group, the avg weight of the group becomes 53 kg. if another man e who weights is 3 kg more than d replaces a, then the avgof b, c, d & e becomes 51 kg. what is the weight of a?
Answer the question using a single word or phrase.

[Assistant] 73

[User]
in an election between two candidates, the winner has a margin of 20 % of the votes polled. if 3000 people change their mind and vote for the loser, the loser would have won by a margin of 20 % of the votes polled. find the total number of votes polled in the election?
Answer the question using a single word or phrase.

[Assistant] 15000


[User]
p, q and r have $ 5000 among themselves. r has two - thirds of the total amount with p and q. find the amount with r?
Answer the question using a single word or phrase.

[Assistant] 2000

[User]
a, b, c can do a piece of work in 20 days, 30 days and 40 days respectively, working alone. how soon can the work be done if a is assisted by b and c on alternate days?
Answer the question using a single word or phrase.

[Assistant] 3 days

[User]
a $ 500 investment and a $ 1,500 investment have a combined yearly return of 16 percent of the total of the two investments. if the $ 500 investment has a yearly return of 7 percent, what percent yearly return does the $ 1,500 investment have?
Answer the question using a single word or phrase.

[Assistant] 19 %

[User]
an investment yields an interest payment of $ 216 each month. if the simple annual interest rate is 9 %, what is the amount of the investment?
Answer the question using a single word or phrase.

[Assistant] $ 28,800

[User]
you have a 6 - sided cube and 6 cans of paint, each a different color. you may not mix colors of paint. how many distinct ways can you paint the cube using a different color for each side? ( if you can reorient a cube to look like another cube, then the two cubes are not distinct. )
Answer the question using a single word or phrase.

[Assistant] 30


[User]
sides of a rectangular park are in the ratio 3 : 2 and its area is 1536 sq m, the cost of fencing it at 50 ps per meter is?
Answer the question using a single word or phrase.

[Assistant] 51

[User]
one night 18 percent of the female officers on a police force were on duty. if 144 police officers were on duty that night and half of these were female officers, how many female officers were on the police force?
Answer the question using a single word or phrase.

[Assistant] 400

[User]
a shirt goes on sale for 70 % of its original price. one week later, the sale price is marked down 10 %. the final price is what percent of the original price?
Answer the question using a single word or phrase.

[Assistant] 63 %

[User]
a 250 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec. what is the length of the other train?
Answer the question using a single word or phrase.

[Assistant] 250

[User]
3 candidates in an election and received 2500, 5000 and 15000 votes respectively. what % of the total votes did the winningcandidate got in that election?
Answer the question using a single word or phrase.

[Assistant] 66.6 %


[User]
an auction house charges a commission of 15 % on the first $ 50000 of the sale price of an item, plus 10 % on the amount of of the sale price in excess of $ 50000. what was the price of a painting for which the house charged a total commission of $ 24000?
Answer the question using a single word or phrase.

[Assistant] $ 215,000

[User]
laura took out a charge account at the general store and agreed to pay 4 % simple annual interest. if she charges $ 35 on her account in january, how much will she owe a year later, assuming she does not make any additional charges or payments?
Answer the question using a single word or phrase.

[Assistant] $ 36.4

[User]
a boat running up stram takes 6 hours to cover a certain distance, while it takes 10 hours to cover the same distance running down stream. what is the ratio between the speed of the boat and the speed of water current respectively?
Answer the question using a single word or phrase.

[Assistant] 4 : 1

[User]
how many of the integers between 10 and 40 are even?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
for a race a distance of 224 meters can be covered by p in 28 seconds and q in 32 seconds. by what distance does p defeat q eventually?
Answer the question using a single word or phrase.

[Assistant] 32 m


[User]
jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. if these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 10 percent sulfuric acid, approximately how many liters of the 12 percent solution will be required?
Answer the question using a single word or phrase.

[Assistant] 48

[User]
in a class of 35 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 10 students each borrowed 2 books, and the rest borrowed at least 3 books. if the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
find avrg speed if a man travels at speed of 24 km / hr up and 36 km / hr dawn at an altitude of 200 m.
Answer the question using a single word or phrase.

[Assistant] 28.8

[User]
a watch was sold at a loss of 36 %. if it was sold for rs. 140 more, there would have been a gain of 4 %. what is the cost price?
Answer the question using a single word or phrase.

[Assistant] 350

[User]
what is the probability that jamie and tom will get selected for a job they both applied for in a company, given that their chances of getting selected is 2 / 3 and 5 / 7 respectively?
Answer the question using a single word or phrase.

[Assistant] 10 / 21


[User]
weights of two friends ram and shyam are in the ratio 4 : 5. if ram's weight is increased by 10 % and total weight of ram and shyam become 82.8 kg, with an increases of 15 %. by what percent did the weight of shyam has to be increased?
Answer the question using a single word or phrase.

[Assistant] 19 %

[User]
a man invests in a 16 % stock at 128. the interest obtained by him is :
Answer the question using a single word or phrase.

[Assistant] 12.5 %

[User]
if a certain computer is capable of printing 4900 monthly credit card bills per hour, while a new model is capable of printing at a rate of 6600 per hour, the old model will take approximately how much longer than the new model to print 10000 bills?
Answer the question using a single word or phrase.

[Assistant] 31

[User]
the difference of two numbers is 1385. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. what is the smaller number?
Answer the question using a single word or phrase.

[Assistant] 274

[User]
if a book is sold at 8 % profit instead of 8 % loss, it would have brought rs 12 more. find out the cost price of the book
Answer the question using a single word or phrase.

[Assistant] rs 75


[User]
if a is the smallest positive integer such that 3150 multiplied by a is the square of an integer, then a must be
Answer the question using a single word or phrase.

[Assistant] 14

[User]
calculate how long it will take a swimmer to swim a distance of 3 km against the current of a river which flows at 1.7 km / hr, given that he can swim in still water at 3 km / h
Answer the question using a single word or phrase.

[Assistant] 2.31

[User]
crazy eddie has a key chain factory. eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price, and thus increased the profit from the sale of each key chain from 35 % of the selling price to 50 % of the selling price. if the manufacturing cost is now $ 50, what was it before the decrease?
Answer the question using a single word or phrase.

[Assistant] $ 65

[User]
find a two digit number, given that the sum of the digits is 13 and the difference of the digits is 5.?
Answer the question using a single word or phrase.

[Assistant] 94

[User]
a can do a work in 24 days and b can do it in 16 days. in how many days a and b can do the work?
Answer the question using a single word or phrase.

[Assistant] 9 3 / 5 days


[User]
mike earns $ 14 per hour and phil earns $ 7 per hour. approximately how much less, as a percentage, does phil earn than mike per hour?
Answer the question using a single word or phrase.

[Assistant] 50 %

[User]
albert is 2 times mary ’ s age and 4 times as old as betty. mary is 8 years younger than albert. how old is betty?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
a manufacturer is using glass as the surface for the multi - touch screen of its smartphone. the glass on the manufactured phone has a 4 % probability of not passing quality control tests. the quality control manager bundles the smartphone in groups of 10. if that bundle has any smartphone that does not pass the quality control test, the entire bundle of 10 is rejected. what is the probability that a smartphone bundle that will be rejected by quality control?
Answer the question using a single word or phrase.

[Assistant] 1 - 0.96 ^ 10

[User]
in a village there are 150 men and 90 women in present time. if in next year population will be p = ( a ^ 2 + b ^ 2 ) ^ 1 / 2, and in every year men are reduces 6 %. what is population of after 2 year.
Answer the question using a single word or phrase.

[Assistant] 145

[User]
crazy eddie has a key chain factory. eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price, and thus increased the profit from the sale of each key chain from 30 % of the selling price to 50 % of the selling price. if the manufacturing cost is now $ 50, what was it before the decrease?
Answer the question using a single word or phrase.

[Assistant] $ 70


[User]
if ( 1 / 2 ) ^ 16 ( 1 / 81 ) ^ k = 1 / 18 ^ 16, then k =
Answer the question using a single word or phrase.

[Assistant] 8

[User]
excluding stoppages, the speed of a bus is 50 kmph and including stoppages, it is 35 kmph. for how many minutes does the bus stop per hour?
Answer the question using a single word or phrase.

[Assistant] 18 minutes

[User]
in triangle pqr, the angle q = 90 degree, pq = 3 cm, qr = 8 cm. x is a variable point on pq. the line through x parallel to qr, intersects pr at y and the line through y, parallel to pq, intersects qr at z. find the least possible length of xz
Answer the question using a single word or phrase.

[Assistant] 2.4 cm

[User]
an engineer undertakes a project to build a road 15 km long in 300 days and employs 40 men for the purpose. after 100 days, he finds only 2.5 km of the road has been completed. find the ( approximate ) number of extra men he must employ to finish the work in time.
Answer the question using a single word or phrase.

[Assistant] e. 60

[User]
the average age of 25 students of a class is 25 years. out of these, the average age of 10 students is 22 years and that of the other 14 students is 28 years. the age of the 25 th student is?
Answer the question using a single word or phrase.

[Assistant] 13


[User]
how many numbers between 1000 and 5000 are exactly divisible by 225?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
a small table has a length of 12 inches and a breadth of b inches. cubes are placed on the surface of the table so as to cover the entire surface. the maximum side of such cubes is found to be 4 inches. also, a few such tables are arranged to form a square. the minimum length of side possible for such a square is 20 inches. find b.
Answer the question using a single word or phrase.

[Assistant] 4

[User]
anita has 360 apples. there are 60 students are studying in her class. she would like to give each student the same amount of apples, how much should she give to each student?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
a number is increased by 60 % and then decreased by 60 %. find the net increase or decrease per cent.
Answer the question using a single word or phrase.

[Assistant] 36 %

[User]
the area of sector of a circle whose radius is 12 metro and whose angle at the center is 36 â ° is?
Answer the question using a single word or phrase.

[Assistant] 45.3


[User]
6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. hence the current average age has become 45. find the age of seventh person?
Answer the question using a single word or phrase.

[Assistant] 69

[User]
one fourth of a solution that was 15 % sugar 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 sugar by weight?
Answer the question using a single word or phrase.

[Assistant] 16 %

[User]
every year an amount increases by 1 / 8 th of itself. how much will it be after two years if its present value is rs. 1600?
Answer the question using a single word or phrase.

[Assistant] 2025

[User]
how many unique positive odd integers less than 110 are equal to the product of a positive multiple of 5 and an odd number?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
if the difference between the length and breadth of a rectangle is 23 m and its perimeter is 186 m, what is its area?
Answer the question using a single word or phrase.

[Assistant] 2030


[User]
every disk in a bag is either blue, yellow or green. the ratio of blue disks to yellow disks to green disks in this bag is 3 : 7 : 8. if the total number of disks in the bag is 72, how many more green disks than blue disks are in the bag?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
an engineer designed a ball so that when it was dropped, it rose with each bounce exactly one - half as high as it had fallen. the engineer dropped the ball from a 16 - meter platform and caught it after it had traveled 40.5 meters. how many times did the ball bounce?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
what is the probability of getting atmost one head when two unbiased coin are tossed?
Answer the question using a single word or phrase.

[Assistant] 3 / 4

[User]
if 5 x + 3 = 10 x – 22, what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
a jogger running at 9 km / hr along side a railway track is 270 m ahead of the engine of a 120 m long train running at 45 km / hr in the same direction. in how much time will the train pass the jogger?
Answer the question using a single word or phrase.

[Assistant] 39 sec


[User]
the speed of a boat in still water in 26 km / hr and the rate of current is 6 km / hr. the distance travelled downstream in 20 minutes is :
Answer the question using a single word or phrase.

[Assistant] 10.66 km

[User]
find the average of all the numbers between 6 and 39 which are divisible by 5?
Answer the question using a single word or phrase.

[Assistant] 23

[User]
add : + 47 and - 27
Answer the question using a single word or phrase.

[Assistant] + 30

[User]
a small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 400 feet. what is its area, in square feet?
Answer the question using a single word or phrase.

[Assistant] 76,800

[User]
last year, for every 100 million vehicles that traveled on a certain highway, 40 vehicles were involved in accidents. if 2 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? ( 1 billion = 1,000, 000,000 )
Answer the question using a single word or phrase.

[Assistant] 800


[User]
simplify : 100 x 100 - 50 x 50
Answer the question using a single word or phrase.

[Assistant] 7500

[User]
a worker's daily wage is increased by 40 % and the new wage is $ 28 per day. what was the worker's daily wage before the increase?
Answer the question using a single word or phrase.

[Assistant] $ 20

[User]
two pipes can fill a tank in 15 minutes and 15 minutes. an outlet pipe can empty the tank in 45 minutes. if all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Answer the question using a single word or phrase.

[Assistant] 1 / 9

[User]
set r is composed of 9 numbers, labeled r 1 through r 9. set s is also composed of 9 numbers, labeled s 1 through s 9. set s is defined as follows : s 1 = 1 + r 1 ; s 2 = 2 + r 2 ; and so on, including s 9 = 9 + r 9. how much larger is the sum of set s's mean and range than the sum of set r's mean and range?
Answer the question using a single word or phrase.

[Assistant] can not be determined

[User]
the average of temperatures at noontime from monday to friday is 60 ; the lowest one is 45, what is the possible maximum range of the temperatures?
Answer the question using a single word or phrase.

[Assistant] 75


[User]
at a certain organisation, the number of male members went up by 12 % in the year 2001 from year 2000, and the number of females members went down by 5 % in the same time period. if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001, what was the ratio of male members to female members in the year 2000?
Answer the question using a single word or phrase.

[Assistant] 4 : 7

[User]
if the average of 9 digits is 18 and the average of 4 of them is 8, calculate the average of the remaining 5 numbers?
Answer the question using a single word or phrase.

[Assistant] 26

[User]
the units digit of ( 35 ) ^ ( 87 ) + ( 3 ) ^ ( 45 ) is :
Answer the question using a single word or phrase.

[Assistant] 8

[User]
in a certain animal shelter, the ratio of the number of dogs to the number of cats is 15 to 7. if 20 additional cats were to be taken in by the shelter, the ratio of the number of dogs to the number of cats would be 15 to 11. how many dogs are in the shelter?
Answer the question using a single word or phrase.

[Assistant] 75

[User]
a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 60 kilometers per hour. at what speed, in kilometers per hour, is the car traveling?
Answer the question using a single word or phrase.

[Assistant] 58


[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 17. what is the last numbers?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
mr yadav spends 60 % of his monthly salary on consumable items and 50 % of the remaining on clothes and transport. he saves the remaining amount. if his savings at the end of the year were 24624, how much amount per month would he have spent on clothes and transport?
Answer the question using a single word or phrase.

[Assistant] 2052

[User]
a train 210 m long, running with a speed of 63 km / hr will pass a tree in?
Answer the question using a single word or phrase.

[Assistant] 18 sec

[User]
drum x is 1 / 2 full of oil and drum y, which has twice the capacity of drum x, is 2 / 5 full of oil. if all of the oil in drum x is poured into drum y, then drum y will be filled to what capacity?
Answer the question using a single word or phrase.

[Assistant] 13 / 20

[User]
joe drives 180 miles at 60 miles per hour, and then he drives the next 120 miles at 40 miles per hour. what is his average speed for the entire trip in miles per hour?
Answer the question using a single word or phrase.

[Assistant] 50


[User]
at veridux corporation, there are 250 employees. of these, 90 are female, and the rest are males. there are a total of 40 managers, and the rest of the employees are associates. if there are a total of 140 male associates, how many female managers are there?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
a train travels 250 km in 2 hours and 350 km in 4 hours. find the average speed of train.
Answer the question using a single word or phrase.

[Assistant] 100 kmph

[User]
if the cost price of 24 articles is equal to the selling price of 16 articles, what is the percentage of profit or loss that the merchant makes?
Answer the question using a single word or phrase.

[Assistant] 50 % profit

[User]
x and y can do a piece of work in 20 days and 12 days respectively. x started the work alone and then after 4 days y joined him till the completion of the work. how long did the work last?
Answer the question using a single word or phrase.

[Assistant] 10 days

[User]
a rectangular field is to be fenced on three sides leaving a side of 10 feet uncovered. if the area of the field is 680 sq. ft, how many feet of fencing will be required?
Answer the question using a single word or phrase.

[Assistant] 146 t


[User]
for any positive number x, the function [ x ] denotes the greatest integer less than or equal to x. for example, [ 1 ] = 1, [ 1.367 ] = 1 and [ 1.988 ] = 1. if k is a positive integer such that k ^ 2 is divisible by 45 and 80, what is the units digit of k ^ 3 / 4000?
Answer the question using a single word or phrase.

[Assistant] 0

[User]
in a garden, there are 10 rows and 12 columns of mango trees. the distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. the length of the garden is?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
5 n + 2 > 12 and 7 n - 5 < 30 ; n must be between which numbers?
Answer the question using a single word or phrase.

[Assistant] 2 and 5

[User]
how long does a train 110 m long traveling at 36 kmph takes to cross a bridge of 170 m in length?
Answer the question using a single word or phrase.

[Assistant] 28

[User]
how many positive integer solutions does the equation 2 x + 5 y = 100 have?
Answer the question using a single word or phrase.

[Assistant] 10


[User]
in an examination, there were 2,000 candidates, out of which 900 candidates were girls and rest were boys. if 34 % of the boys and 32 % of the girls passed, then the total percentage of failed candidates is?
Answer the question using a single word or phrase.

[Assistant] 66.90 %

[User]
a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. if the area of the field is 680 sq. ft, how many feet of fencing will be required?
Answer the question using a single word or phrase.

[Assistant] 88 feet

[User]
a, b and c have rs. 500 between them, a and c together have rs. 200 and b and c rs. 330. how much does c have?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
when positive integer x is divided by positive integer y, the remainder is 4. if x / y = 96.16, what is the value of y?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
the present ages of 3 persons are in proportions 4 : 7 : 9. 7 years ago, the sum of their ages was 79. find their present ages.
Answer the question using a single word or phrase.

[Assistant] 35, 45


[User]
in a certain large company, the ratio of college graduates with a graduate degree to non - college graduates is 1 : 8, and ratio of college graduates without a graduate degree to non - college graduates is 2 : 3. if one picks a random college graduate at this large company, what is the probability e this college graduate has a graduate degree?
Answer the question using a single word or phrase.

[Assistant] 3 / 19

[User]
the diagonals of a rhombus are 15 cm and 17 cm. find its area?
Answer the question using a single word or phrase.

[Assistant] 127.5

[User]
a car dealership has 40 cars on the lot, 15 % of which are silver. if the dealership receives a new shipment of 80 cars, 30 % of which are not silver, what percentage of total number of cars are silver?
Answer the question using a single word or phrase.

[Assistant] 25 %

[User]
two train each 500 m long, and running in opposite directions on parallel tracks. their speeds are 45 km / hr and 30 km / hr respectively. find the time taken by the slower train to pass the driver of the faster one.
Answer the question using a single word or phrase.

[Assistant] 24 sec

[User]
geetha's home has one tap, working alone at its maximum constant rate, can fill a certain sink in 210 seconds. a second tap, working alone at its maximum constant rate, can fill the same sink in 214 seconds. if both taps work together at their respective maximum constant rates, the time it will take to fill the sink is closest to
Answer the question using a single word or phrase.

[Assistant] 106 seconds


[User]
a bucket contains 2 mixtures a and b in the ratio 3 : 2. if 5 liters of the mixture is replaced by 5 liters of liquid b, then the ratio of the two liquids becomes 3 : 5. how much of the liquid a was there in the bucket?
Answer the question using a single word or phrase.

[Assistant] 8 liters

[User]
34 : 43 : : 25 :?
Answer the question using a single word or phrase.

[Assistant] 52

[User]
how many liters of water must be evaporated from 50 liters of a 3 - percent sugar solution to get a 2 - percent solution?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
how much more would rs. 40000 fetch, after two years, if it is put at 20 % p. a. compound interest payable half yearly than if is put at 20 % p. a. compound interest payable yearly?
Answer the question using a single word or phrase.

[Assistant] 964

[User]
fresh grapes contain 80 % water by weight and raisins obtained by drying fresh grapes contain 25 % water by weight. how many kgs of fresh grapes are needed to get 20 kgs of raisins?
Answer the question using a single word or phrase.

[Assistant] 75 kgs


[User]
a can finish a work in 6 days and b can do the same work in 15 days. b worked for 10 days and left the job. in how many days, a alone can finish the remaining work?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
one night 25 percent of the female officers on a police force were on duty. if 500 officers were on duty that night and half of these were female officers, how many female officers were on the police force?
Answer the question using a single word or phrase.

[Assistant] 1,000

[User]
two bullet trains of equal lengths take 10 seconds and 50 seconds respectively to cross a telegraph post. if the length of each bullet train be 120 metres, in what time ( in seconds ) will they cross each other travelling in opposite direction?
Answer the question using a single word or phrase.

[Assistant] 16.7 sec.

[User]
if $ 935 are divided between worker a and worker b in the ratio 5 : 12, what is the share that worker b will get?
Answer the question using a single word or phrase.

[Assistant] 70.59 %

[User]
a shop owner sells 30 mtr of cloth and gains sp of 10 metres. find the gain %?
Answer the question using a single word or phrase.

[Assistant] 50 %


[User]
if n is a positive integer and n ^ 2 is divisible by 50, then what is the largest positive integer that must divide n?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
the sum of present age of abe and the age before 7 years is 29. find the present age of abe. what will be his age after 7 years?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
if both 5 ^ 2 and 3 ^ 3 are factors of the number a * 4 ^ 3 * 6 ^ 2 * 13 ^ 11, then what is the smallest possible value of a?
Answer the question using a single word or phrase.

[Assistant] 75

[User]
a and b can finish a work in 16 days while a alone can do the same work in 32 days. in how many days b alone will complete the work?
Answer the question using a single word or phrase.

[Assistant] 32 days

[User]
of 60 applicants for a job, 28 had at least 4 years'experience, 36 had degrees, and 6 had less than 4 years'experience and did not have a degree. how many of the applicants had at least 4 years'experience and a degree?
Answer the question using a single word or phrase.

[Assistant] 10


[User]
if log 0.317 = 0.3332 and log 0.318 = 0.3364, then find log 0.319
Answer the question using a single word or phrase.

[Assistant] 0.3396

[User]
a bicycle wheel has a diameter of 0.81 m. how many complete revolutions does it make in 1 km?
Answer the question using a single word or phrase.

[Assistant] 393

[User]
if there are half as many women as men in a group and an equal number of men and women do not own cars - a group that is 30 % of the total. what fraction of the total is men who own cars?
Answer the question using a single word or phrase.

[Assistant] 31 ⁄ 60

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

[Assistant] 150

[User]
if the function q is defined by the formula q = 5 w / ( 4 d ( z ^ 2 ) ), by what factor will q be multiplied if w is quadrupled, d is doubled, and z is tripled?
Answer the question using a single word or phrase.

[Assistant] 2 / 9


[User]
what is 982 * 982?
Answer the question using a single word or phrase.

[Assistant] 964,324

[User]
a pipe can fill a cistern in 88 minutes. find the time in which 1 / 11 part of the cistern will be filled?
Answer the question using a single word or phrase.

[Assistant] 8 min

[User]
a man walking at a rate of 15 km / hr crosses a bridge in 20 minutes. the length of the bridge is?
Answer the question using a single word or phrase.

[Assistant] 1000 m

[User]
a total of 3000 chocolates were distributed among 120 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates. find the respective number of boys and girls?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
how many figures are required to number the pages the pages of a book containing 365 pages?
Answer the question using a single word or phrase.

[Assistant] 987


[User]
a mixture contains milk and water in the ratio 3 : 2. on adding 10 liters of water, the ratio of milk to water becomes 2 : 3. total quantity of milk & water before adding water to it?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
16 men can complete a piece of work in 30 days. in how many days can 20 men complete that piece of work?
Answer the question using a single word or phrase.

[Assistant] 24 days

[User]
a, b, k start from the same place and travel in the same direction at speeds of 30 km / hr, 40 km / hr, 160 km / hr respectively. b starts two hours after a. if b and k overtake a at the same instant, how many hours after a did k start?
Answer the question using a single word or phrase.

[Assistant] 6.5

[User]
the length of a rectangular field is 7 / 5 its width. if the perimeter of the field is 384 meters, what is the width of the field?
Answer the question using a single word or phrase.

[Assistant] 80

[User]
speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph. a man rows to a place at a distance of 7740 km and comes back to the starting point. the total time taken by him is :
Answer the question using a single word or phrase.

[Assistant] 982.9 hours


[User]
72 67 66 61 60...?
Answer the question using a single word or phrase.

[Assistant] 55

[User]
a train is running at a speed of 40 km / hr and it crosses a post in 25.2 seconds. what is the length of the train?
Answer the question using a single word or phrase.

[Assistant] 280 metres

[User]
speed of a boat in standing water is 8 kmph and the speed of the stream is 6 kmph. a man rows to place at a distance of 210 km and comes back to the starting point. the total time taken by him is :
Answer the question using a single word or phrase.

[Assistant] 120 hours

[User]
a rectangular garden is to be twice as long as it is wide. if 300 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?
Answer the question using a single word or phrase.

[Assistant] 100

[User]
the average age of 35 students in a class is 16 years. the average age of 21 students is 14. what is the average age of remaining 19 students?
Answer the question using a single word or phrase.

[Assistant] 14 years


[User]
the calendar of the year 2032 can be used again in the year?
Answer the question using a single word or phrase.

[Assistant] 2060

[User]
a sum of money at simple interest amounts to rs. 825 in 3 years and to rs. 840 in 4 years. the sum is?
Answer the question using a single word or phrase.

[Assistant] s. 777

[User]
if p is the product of the integers from 1 to 35, 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]
the simple form of the ratio 4 / 5 : 8 / 9 is?
Answer the question using a single word or phrase.

[Assistant] 9 : 10

[User]
what is the difference between the c. i. on rs. 6000 for 1 1 / 2 years at 4 % per annum compounded yearly and half - yearly?
Answer the question using a single word or phrase.

[Assistant] s. 2.45


[User]
on an order of 3 dozen boxes of a consumer product, a retailer receives an extra dozen free. this is equivalent to allowing him a discount of :
Answer the question using a single word or phrase.

[Assistant] 25 %

[User]
if bill can buy 3 pairs of jeans and 2 shirts for $ 69 or 2 pairs of jeans and 3 shirts for $ 61, how much does one shirt cost?
Answer the question using a single word or phrase.

[Assistant] $ 9

[User]
30 square stone slabs of equal size were needed to cover a floor area of 50.7 sq. m. find the length of each stone slab?
Answer the question using a single word or phrase.

[Assistant] 130 cm

[User]
the cost of 10 kg of apples is equal to the cost of 24 kg of rice. the cost of 6 kg of flour equals the cost of 2 kg of rice. the cost of each kg of flour is rs. 20.50. find the total cost of 4 kg of apples, 3 kg of rice and 5 kg of flour?
Answer the question using a single word or phrase.

[Assistant] rs. 877.40

[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 70 % 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] 12.5 %


[User]
if c is 25 % of a and 50 % of b, what percent of a is b?
Answer the question using a single word or phrase.

[Assistant] 50 %

[User]
a teacher grades students ’ tests by subtracting twice the number of incorrect responses from the number of correct responses. if student a answers each of the 100 questions on her test and receives a score of 61, how many questions did student a answer correctly?
Answer the question using a single word or phrase.

[Assistant] 87

[User]
if x is invested in a bank at a rate of simple interest of y % p. a. for two years, then the interest earned is 600. if x is invested at y % p. a., for two years when the interest is compounded annually, the interest is 615. what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 6000

[User]
a store purchased a pair of pants for $ 210 and was selling it at a price that equaled the purchase price of the pants plus a markup that was 25 percent of the selling price. after some time a store owner decided to decrease the selling price by 20 percent. what was the store's gross profit on this sale?
Answer the question using a single word or phrase.

[Assistant] $ 14

[User]
the length of a room is 5.5 m and width is 3.75 m. find the cost of paving the floor by slabs at the rate of rs. 400 per sq. metre.
Answer the question using a single word or phrase.

[Assistant] rs. 8250


[User]
find 125 / 14 * 6
Answer the question using a single word or phrase.

[Assistant] 1.488

[User]
if a 2 - b 2 = 5 and a * b = 2, find a 4 + b 4.
Answer the question using a single word or phrase.

[Assistant] 33

[User]
if 1 + 2 + 3 +... + n = n ( n + 1 ), then 3 ( 1 + 3 + 5 +.... + 79 ) =?
Answer the question using a single word or phrase.

[Assistant] 4800

[User]
a river boat leaves silver town and travels upstream to gold town at an average speed of 4 kilometers per hour. it returns by the same route at an average speed of 7 kilometers per hour. what is the average speed for the round - trip in kilometers per hour?
Answer the question using a single word or phrase.

[Assistant] 5.1

[User]
a certain car traveled twice as many miles from town a to town b as it did from town b to town c. from town a to town b, the car averaged 25 miles per gallon, and from town b to town c, the car averaged 30 miles per gallon. what is the average miles per gallon that the car achieved on its trip from town a through town b to town c?
Answer the question using a single word or phrase.

[Assistant] 26.5


[User]
if w, x, y and z are distinct odd positive integers, then the maximum value of the expression ( w ^ 2 + x ^ 2 ) * ( y ^ 2 + z ^ 2 ) can be divisible by?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
john found that the average of 15 numbers is 40. if 10 is added to each number then the mean of number is?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
if a's salary is 20 % less than b's salary, by how much percent is b's salary more than a's?
Answer the question using a single word or phrase.

[Assistant] 25 %

[User]
what will be the difference between simple interest and compound interest @ 10 % per annum on a sum of rs. 1000 after 3 years?
Answer the question using a single word or phrase.

[Assistant] 31

[User]
the mean of 25 values was 190. it was detected on rechecking that one value 165 was wrongly copied as 130 for the computation of the mean. find the correct mean.
Answer the question using a single word or phrase.

[Assistant] 191.4


[User]
a walks at 10 kmph and 3 hours after his start, b cycles after him at 20 kmph. how far from the start does b catch up with a?
Answer the question using a single word or phrase.

[Assistant] 60 km

[User]
a goods train runs at the speed of 72 km / hr and crosses a 80 m long platform in 26 sec. what is the length of the goods train?
Answer the question using a single word or phrase.

[Assistant] 440

[User]
what is the total cost of 2 sandwiches at $ 1.49 each and 4 sodas at $ 0.87 each?
Answer the question using a single word or phrase.

[Assistant] $ 6.46

[User]
population of a city in 20004 was 1500000. if in 2005 there isan increment of 15 %, in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 %, then find the population of city atthe end of the year 2007
Answer the question using a single word or phrase.

[Assistant] 3251625 / 2

[User]
how many prime numbers between 1 and 100 are factors of 7,150?
Answer the question using a single word or phrase.

[Assistant] four


[User]
? % of 360 = 93.6
Answer the question using a single word or phrase.

[Assistant] 26

[User]
linda spent 3 / 4 of her savings on furniture and the rest on a tv. if the tv cost her $ 450, what were her original savings?
Answer the question using a single word or phrase.

[Assistant] $ 1800

[User]
a man purchased 1 blankets @ rs. 100 each, 5 blankets @ rs. 150 each and two blankets at a certain rate which is now slipped off from his memory. but he remembers that the average price of the blankets was rs. 150. find the unknown rate of two blankets?
Answer the question using a single word or phrase.

[Assistant] 650

[User]
rice weighing 29 / 4 pounds was divided equally and placed in 4 containers. how many ounces of rice were in each container? ( note that 1 pound = 16 ounces )
Answer the question using a single word or phrase.

[Assistant] 29

[User]
the speed at which a man can row a boat in still water is 15 km / hr. if he rows downstream, where the speed of current is 3 km / hr, how many seconds will he take to cover 90 meters?
Answer the question using a single word or phrase.

[Assistant] 18


[User]
for all positive integers m, [ m ] = 3 m when m is odd and [ m ] = ( 1 / 2 ) * m when m is even. what is [ 9 ] * [ 10 ] equivalent to?
Answer the question using a single word or phrase.

[Assistant] [ 45 ]

[User]
a cube with its sides numbered 1 through 6 is rolled twice, first landing on a and then landing on b. if any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6, what is the probability q that a + b is prime?
Answer the question using a single word or phrase.

[Assistant] 5 / 12

[User]
arun purchased 30 kg of wheat at the rate of rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. he mixed the two and sold the mixture. approximately what price per kg should be sell the mixture to make 20 % profit?
Answer the question using a single word or phrase.

[Assistant] 15.12

[User]
double of quarter of 2 percent written as a decimal is :
Answer the question using a single word or phrase.

[Assistant] 0.01

[User]
a boat covers a certain distance downstream in 1 hour, while it comes back in 11 ⁄ 2 hours. if the speed of the stream be 3 kmph, what is the speed of the boat in still water?
Answer the question using a single word or phrase.

[Assistant] 15 kmph


[User]
a certain bag contains 100 balls â € ” 50 white, 30 green, 8 yellow, 9 red, and 3 purple. if a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
Answer the question using a single word or phrase.

[Assistant] 0.88

[User]
if the wheel is 9 cm then the number of revolutions to cover a distance of 1056 cm is?
Answer the question using a single word or phrase.

[Assistant] 18.7

[User]
kanul spent $ 80000 in buying raw materials, $ 30000 in buying machinery and 20 % of the total amount he had as cash with him. what was the total amount?
Answer the question using a single word or phrase.

[Assistant] $ 137500

[User]
the product of two numbers is 4107. if the h. c. f. of these numbers is 37, then the greater number is :
Answer the question using a single word or phrase.

[Assistant] 111

[User]
if the operation ø is defined for all positive integers x and w by x ø w = ( 2 ^ x ) / ( 2 ^ w ) then ( 3 ø 1 ) ø 2 =?
Answer the question using a single word or phrase.

[Assistant] 4


[User]
if the average ( arithmetic mean ) of x, x + 2, and x + 4 is 63, what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 61

[User]
a movie buff owns movies on dvd and on blu - ray in a ratio of 9 : 2. if she buys 2 more blu - ray movies, that ratio would change to 17 : 4. if she owns movies on no other medium, what was the original number of movies in her library before the extra purchase?
Answer the question using a single word or phrase.

[Assistant] 187

[User]
if 1 / 2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 5 strokes?
Answer the question using a single word or phrase.

[Assistant] 31 / 32

[User]
the ratio between the length and the breadth of a rectangular park is 4 : 1. if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 8 min, then the area of the park ( in sq. m ) is?
Answer the question using a single word or phrase.

[Assistant] 102400 m

[User]
the average weight of 9 persons increases by 1.5 kg. if a person weighing 65 kg is replaced by a new person, what could be the weight of the new person?
Answer the question using a single word or phrase.

[Assistant] 78.5 kg


[User]
find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs. 1344?
Answer the question using a single word or phrase.

[Assistant] 1200

[User]
there are 100 employees in a room. 99 % are managers. how many managers must leave the room to bring down the percentage of manager to 98 %?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
a, b, c subscribe rs. 50,000 for a business. a subscribes rs. 4000 more than b and b rs. 5000 more than c. out of a total profit of rs. 35,000, b receives :
Answer the question using a single word or phrase.

[Assistant] s. 11,900

[User]
how many 3 digit positive integers e exist that when divided by 7 leave a remainder of 5?
Answer the question using a single word or phrase.

[Assistant] 129

[User]
6.2 is what percent of 1000?
Answer the question using a single word or phrase.

[Assistant] 0.62 %


[User]
a metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 12 cm. what is the length of the wire?
Answer the question using a single word or phrase.

[Assistant] 16 cm

[User]
a van takes 6 hours to cover a distance of 252 km. how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time?
Answer the question using a single word or phrase.

[Assistant] 28 kmph

[User]
the ages of two persons differ by 28 years. if 5 years ago, the elder one be 5 times as old as the younger one, their present ages ( in years ) are respectively
Answer the question using a single word or phrase.

[Assistant] 40,12

[User]
3 x + y = 21, and x + 3 y = 1. find the value of 2 x + 2 y
Answer the question using a single word or phrase.

[Assistant] 11

[User]
x can finish a work in 20 days. y can finish the same work in 15 days. yworked for 9 days and left the job. how many days does x alone need to finish the remaining work?
Answer the question using a single word or phrase.

[Assistant] 8


[User]
thomas worked in the factory @ 4550 / - per week. owner told him to give the amount after one month. then how much amount will be paid to thomas?
Answer the question using a single word or phrase.

[Assistant] 19500

[User]
in the first 10 overs of a cricket game, the run rate was only 3.6. what should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Answer the question using a single word or phrase.

[Assistant] 6.15

[User]
in a tree, 3 / 5 of the birds are parrots while the rest are toucans. if 1 / 3 of the parrots are female and 3 / 4 of the toucans are female, what fraction of the birds in the tree are male?
Answer the question using a single word or phrase.

[Assistant] 1 / 2

[User]
working together at their respective constant rates, machine a and machine b can produce 1,800 units in 8 hours. working alone, machine b would complete that same output in 50 % more time. if machine a were to work on its own for an 8 - hour shift, what percent of the 1,800 unit total would it produce?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
a coin is tossed 6 times. what is the probability of getting exactly 5 heads?
Answer the question using a single word or phrase.

[Assistant] 3 / 32


[User]
at a supermarket, john spent 1 / 4 of his money on fresh fruits and vegetables, 1 / 3 on meat products, and 1 / 6 on bakery products. if he spent the remaining $ 6 on candy, how much did john spend at the supermarket?
Answer the question using a single word or phrase.

[Assistant] $ 24

[User]
a and b are two multiples of 14, and q is the set of consecutive integers between a and b, inclusive. if q contains 13 multiples of 14, how many multiples of 7 are there in q?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
the population of a bacteria colony doubles every day. if it was started 6 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?
Answer the question using a single word or phrase.

[Assistant] 128

[User]
in an election between two candidates, one got 55 % of the total valid votes, 20 % of the votes were invalid. if the total number of votes was 7500, the number of valid votes that the other candidate got, was :
Answer the question using a single word or phrase.

[Assistant] 2700

[User]
the credit card and a global payment processing companies have been suffering losses for some time now. a well known company recently announced its quarterly results. according to the results, the revenue fell to $ 48.0 billion from $ 85.0 billion, a year ago. by what percent did the revenue fall?
Answer the question using a single word or phrase.

[Assistant] 43.5


[User]
10 ^ 23 - 7 is divided by 6, remainder is?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
in an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. if he attempts all 60 questions and secures 110 marks, the no of questions he attempts correctly is :
Answer the question using a single word or phrase.

[Assistant] 34

[User]
the average speed of a car decreased by 3 miles per hour every successive 8 - minutes interval. if the car traveled 3.6 miles in the sixth 8 - minute interval, what was the average speed of the car, in miles per hour, in the first 8 minute interval?
Answer the question using a single word or phrase.

[Assistant] 42

[User]
in an office, 20 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. if 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?
Answer the question using a single word or phrase.

[Assistant] 32

[User]
when a student joe, weighing 45 kg, joins a group of students whose average weight is 30 kg, the average weight goes up by 1 kg. subsequently, if two students, excluding joe, leave the group the average weight comes back to 30 kg. what is the difference between the average weight of the two students who left and the weight of joe?
Answer the question using a single word or phrase.

[Assistant] 7.5 kg


[User]
machine a can process 6000 envelopes in 3 hours. machines b and c working together but independently can process the same number of envelopes in 2.5 hours. if machines a and c working together but independently process 3000 envelopes in 1 hour, then how many hours would it take machine b to process 4200 envelopes.
Answer the question using a single word or phrase.

[Assistant] 3

[User]
the average weight of 8 persons increases by 4.5 kg when a new person comes in place of one of them weighing 65 kg. what might be the weight of the new person?
Answer the question using a single word or phrase.

[Assistant] 101 kg

[User]
if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 60, what is the value of c â ˆ ’ a?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
the lcm and hcf of two numbers are 100000 and 10000 respectively. find the larger of the two numbers if their sum is 110000.
Answer the question using a single word or phrase.

[Assistant] 100000

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

[Assistant] 616


[User]
a certain family has 3 sons : richard is 6 years older than david, and david is 8 years older than scott. if in 8 years, richard will be twice as old as scott, then how old was david 5 years ago?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
car dealership x, the total profit from sales increased by 15 percent over the previous years, while the number of cars sold decreased by 15 percent over the previous years. approximately what was the average percent increase in profit per car over the previous year.
Answer the question using a single word or phrase.

[Assistant] 35.29 %

[User]
jill has 42 gallons of water stored in quart, half - gallon, and one gallon jars. she has equal numbers of each size jar holding the liquid. what is the total number of water filled jars?
Answer the question using a single word or phrase.

[Assistant] 72

[User]
a sum of money becomes 7 / 6 of itself in 4 years at a certain rate of simple interest. the rate per annum is?
Answer the question using a single word or phrase.

[Assistant] 25 / 6

[User]
of the 3 - digit integers greater than 700, how many have distinct digits?
Answer the question using a single word or phrase.

[Assistant] 216


[User]
a can finish a work in 9 days and b can do the same work in 15 days. b worked for 10 days and left the job. in how many days, a alone can finish the remaining work?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
let f ( x ) = x ^ 2 + bx + c. if f ( 6 ) = 0 and f ( - 2 ) = 0, then b + c =
Answer the question using a single word or phrase.

[Assistant] - 16

[User]
a wire can be bent in the form of a circle of radius 56 cm. if it is bent in the form of a square, then its area will be
Answer the question using a single word or phrase.

[Assistant] 7744

[User]
if 40 % of a number is equal to two - third of another number, what is the ratio of first number to the second number?
Answer the question using a single word or phrase.

[Assistant] 5 : 3

[User]
what is the tens digit of 7 ^ 1213?
Answer the question using a single word or phrase.

[Assistant] 0


[User]
if 5 workers collect 48 kg of cotton in 4 days, how many kg of cotton will 9 workers collect in 2 days?
Answer the question using a single word or phrase.

[Assistant] 57.6 kg

[User]
in the third grade of windblown school there are 78 students, one third of them failed the math test and 1 / 6 failed that literature test. at least how many students failed both tests?
Answer the question using a single word or phrase.

[Assistant] 0.

[User]
david has $ 2,400 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] $ 800

[User]
a money lender finds that due to a fall in the annual rate of interest from 8 % to 7 3 / 5 % his yearly income diminishes by rs. 61.50. his capital is
Answer the question using a single word or phrase.

[Assistant] 153.75

[User]
if 2994 ã · 14.5 = 173, then 29.94 ã · 1.45 =?
Answer the question using a single word or phrase.

[Assistant] 17.3


[User]
the ages of 2 persons differ by 16 years. if 6 years ago the elder one be 3 times as old as the younger one, find the present age of younger person.
Answer the question using a single word or phrase.

[Assistant] 14

[User]
three numbers are in the ratio 4 : 5 : 6 and their average is 39. the largest number is :
Answer the question using a single word or phrase.

[Assistant] 46.8

[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 262 runs?
Answer the question using a single word or phrase.

[Assistant] 5.75

[User]
two pipes can fill a tank in 18 minutes and 60 minutes. an outlet pipe can empty the tank in 45 minutes. if all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Answer the question using a single word or phrase.

[Assistant] 1 / 20

[User]
in a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1 / 10. for a group of 400 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Answer the question using a single word or phrase.

[Assistant] 292


[User]
the length of the rectangular field is double its width. inside the field there is square shaped pond 8 m long. if the area of the pond is 1 / 50 of the area of the field. what is the length of the field?
Answer the question using a single word or phrase.

[Assistant] 80

[User]
a fill pipe can fill 2 / 3 of cistern in 40 minutes in how many minutes, it can fill full of the cistern?
Answer the question using a single word or phrase.

[Assistant] 60 min

[User]
a “ sophie germain ” prime is any positive prime number p for which 2 p + 1 is also prime. the product of all the possible units digits of sophie germain primes greater than 4 is
Answer the question using a single word or phrase.

[Assistant] 189

[User]
x starts a business with rs. 45000. y joins in the business after 8 months with rs. 30000. what will be the ratio in which they should share the profit at the end of the year?
Answer the question using a single word or phrase.

[Assistant] 9 : 2

[User]
what number has a 5 : 1 ratio to the number 12?
Answer the question using a single word or phrase.

[Assistant] 60


[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. 50000, then the share of b is?
Answer the question using a single word or phrase.

[Assistant] 23077

[User]
if a * b * c = 130, b * c * d = 65, c * d * e = 500 and d * e * f = 250 the ( a * f ) / ( c * d ) =?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
how many internal diagonals does a heptagon ( seven sided polygon ) have?
Answer the question using a single word or phrase.

[Assistant] 14

[User]
in the coordinate plane, points ( x, 5 ) and ( 7, y ) are on line k. if line k passes through the origin and has slope 5 / 7, then x + y =
Answer the question using a single word or phrase.

[Assistant] 12

[User]
a specialized type of sand consists of 40 % mineral x by volume and 60 % mineral y by volume. if mineral x weighs 2.5 grams per cubic centimeter and mineral y weighs 2 grams per cubic centimeter, how many grams does a cubic meter of specialized sand combination weigh? ( 1 meter = 100 centimeters )
Answer the question using a single word or phrase.

[Assistant] 2, 200,000


[User]
if the wheel is 56 cm then the number of revolutions to cover a distance of 1056 cm is?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
a rectangular farm has to be fenced one long side, one short side and the diagonal. if the cost of fencing is rs. 12 per meter. the area of farm is 1200 m 2 and the short side is 30 m long. how much would the job cost?
Answer the question using a single word or phrase.

[Assistant] 1440

[User]
a boat moves upstream at the rate of 1 km in 40 minutes and down stream 1 km in 12 minutes. then the speed of the current is :
Answer the question using a single word or phrase.

[Assistant] 1.75 kmph

[User]
if 10 bulls can plough 20 identical fields in 3 days working 10 hours a day, then in how many days can 30 bulls plough 32 same identical fields working 8 hours a day?
Answer the question using a single word or phrase.

[Assistant] 2.0

[User]
how many numbers from 2 to 7 are exactly divisible by 2?
Answer the question using a single word or phrase.

[Assistant] 3


[User]
the product of two numbers is 120. the sum of their squares is 289. the sum of the two numbers is :
Answer the question using a single word or phrase.

[Assistant] 23

[User]
the least number, which when divided by 8, 15, 20 and 54 leaves in each case a remainder of 8 is :
Answer the question using a single word or phrase.

[Assistant] 1088

[User]
there are 10 slate rocks, 15 pumice rocks, and 6 granite rocks randomly distributed in a certain field. if 2 rocks are chosen at random and without replacement, what is the probability that both rocks will be slate rocks?
Answer the question using a single word or phrase.

[Assistant] 3 / 31

[User]
the average of 6 no.'s is 2.80. the average of 2 of them is 2.4, while the average of the other 2 is 2.3. what is the average of the remaining 2 no's?
Answer the question using a single word or phrase.

[Assistant] 3.7

[User]
if x and y are integers and | x - y | = 12, what is the minimum possible value of xy?
Answer the question using a single word or phrase.

[Assistant] - 36


[User]
if grapes are 91 % water and raisins are 19 % water, then how many kilograms did a quantity of raisins, which currently weighs 9 kilograms, weigh when all the raisins were grapes? ( assume that the only difference between their raisin - weight and their grape - weight is water that evaporated during their transformation. )
Answer the question using a single word or phrase.

[Assistant] 81

[User]
a bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. if the total value is 210, how many coins of each type are there?
Answer the question using a single word or phrase.

[Assistant] 120 coins

[User]
a metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 4 cm. what is the length of the wire?
Answer the question using a single word or phrase.

[Assistant] 144 cm

[User]
a train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Answer the question using a single word or phrase.

[Assistant] 150 m

[User]
find √? / 19 = 4?
Answer the question using a single word or phrase.

[Assistant] 5776


[User]
a certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. if 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans, what is the least amount of paint, in gallons, that must be purchased in order to measure out the portions needed for the mixture?
Answer the question using a single word or phrase.

[Assistant] 2 1 / 2

[User]
an automobile parts supplier charges $ 25 per package of gaskets. when a customer orders more than 10 packages of gaskets, the supplier charges 4 / 5 the price for each package in excess of 10. during a certain week, the supplier sold 50 packages of gaskets. if 20 percent of the gaskets went to company x, 15 percent to company y, and the rest to company z, what was the total amount, in dollars, that the parts supplier received in payment for the gaskets?
Answer the question using a single word or phrase.

[Assistant] 1150

[User]
ravi can do a piece of work in 15 days while prakash can do it in 30 days. in how many days will they finish it together?
Answer the question using a single word or phrase.

[Assistant] 10 days

[User]
( 1000 ) 7 ÷ ( 10 ) 16 =?
Answer the question using a single word or phrase.

[Assistant] 100000

[User]
what is remainder of the division ( 1425 * 1427 * 1429 ) / 12?
Answer the question using a single word or phrase.

[Assistant] 3