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big_math_dataset

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A 60 cm long wire is to be cut into two pieces so that one piece will be 2/4th of the other, how many centimeters will the shorter piece be?
The GDP of a country is $13.8 billion, and the total production of one of its industries is $3.3 billion. If the GDP were to grow by 5% per year in the future, which of the following would be the MINIMUM required annual growth in this industry that would it represent more than half of the GDP in ten years?
If Scott has earned 924 dollars by working 6 hrs/day a week at a constant daily rate for 2 weeks, which of the following represents his daily wage?
A speaks truth in 75% case and B in 80% of the cases. In what percentage of cases are they likely to contradict each other, narrating the same incident?
Three unbiased coin are tossed. What is the probability of getting atmost one head?
In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If a large bottle of the sport formulation contains 1 ounces of corn syrup, how many ounces of water does it contain?
A box contains four dimes, of which two dimes have heads on both their faces, one dime has tail on both its faces and the fourth dime is a normal one. A dime is picked at random and then tossed. If head is the outcome of the toss, then find the probability that the other face (hidden face) of the dime tossed is also a head.
Sum of 3 consecutive even no.'s is 26 more than the 1st no. of the series. Find the middle no.?
A shoe merchant has declared a 10% rebate in prices. How much rebate would one get if he purchases 5 pairs of shoes at Rs.28 each?
Let f(x,y) be defined as the remainder when (x–y)! is divided by x. If x=16, what is the maximum value of y for which f(x,y)=0?
Obra drove 180π meters along a circular track. If the area enclosed by the circular track on which she drove is 57,600π square meters, what percentage of the circular track did Obra drive?
Find the area of a rhombus one side of which measures 20 cm and one diagonal is 28 cm.
The period of 2 sin x cos x is
Integer X represents the product of all integers between 1 to 27 (inclusive). The smallest prime factor of (x+1) must be
Score Interval Number of Scores 50-59 2 60-69 10 70-79 16 80-89 27 90-99 17 The table shows a distribution of test scores. Which score interval contains the median of the 72 scores?
Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively?
Two identical machines have the ability to produce both nuts and bolts. However, it takes 1 second to produce a bolt but 2 seconds to produce a nut. What is the fastest the two machines, working together, can produce 1,600 nuts and 1,600 bolts?
At a certain store, the price of a pair of shoes is twenty dollars more than three times the price of a pair of jeans and the price of a sweater is seventy percent more than the price of a pair of shoes. If the price of a pair of jeans is j dollars at this store, then what is the price, in dollars, of a pair of shoes, a sweater and a pair of jeans, in terms of j ?
A certain rectangular crate measures 8 feet by 14 feet by 16 feet. A cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. What should the radius of the tank be if it is to be of the largest possible volume?
Murali travelled from city A to city B at a speed of 40 kmph and from city B to city C at 60 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 1 : 3? A. 48 kmph
In a group of 80 students, each student is registered for at least one of three classes – History, Math and English. 35 students are registered for History, 35 are registered for Math, and 46 students are registered for English. If only three students are registered for all three classes, how many students are registered for exactly two classes?
A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 1000 more than D, what is B's share?
A qualified worker digs a well in 5 hours. He invites 2 apprentices, both capable of working 3/5 as fast and 2 trainees both working 1/5 as fast as he. If the five-person team digs the same well, how much time does the team need to finish the job?
Calculate the value of n from the below equation: n^3−10n+20=44
Which of the following options is the possible total number of people in a hall given that the number of people is a multiple of both 8 and 14.?
Jill works as a waitress at the local diner where she earns an hourly wage of $4.00 per hour and a standard tip rate of 15% of the cost of the orders she serves. If she worked two 8-hour shifts this week and averaged $40 in orders per hour, how much did Jill earn this week?
After running a series of television advertisements, a leading beverage producer saw its sales increase by 40% to $1 million dollars per month. Prior to the advertising campaign, about how many dollars in sales did the company average per day?
James took a 3-hour bike ride. In the second hour he travlled 18 miles, which was 20 percent farther than he traveled the first hour. If he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?
If (1/5)^m * (1/2)^5 = 1/((10)^5), then m =
Donovan and Michael are racing around a circular 600-meter track. If Donovan runs each lap in 45 seconds and Michael runs each lap in 40 seconds, how many laps will Michael have to complete in order to pass Donovan, assuming they start at the same time?
The profits of QRS company rose 30% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June?
The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides?
Every month a man consumes 25 kg rice and 9 kg wheat. The price of rice is 20% of the price of wheat and thus he spends total Rs. 350 on the rice and wheat per month. If the price of wheat is increased by 20% then what is the percentage reduction of rice consumption for the same expenditure of Rs. 350? Given that the price of rice and consumption of wheat is constant :
How much water must be added to 52 litres of milk at 1 1⁄2 litres for 20 so as to have a mixture worth 10 2⁄3 a litre?
Look at this series: 53, 53, 43, 43, 33, 33, ... What number should come next?
In how much time will a train of length 100 m, moving at 34 kmph cross an electric pole?
The savings of employee equals income minus expenditure.If the income of A,B,C are in the ratio 1:2:3 and their expense ratio 3:2:1 then what is the order of the employees in increasing order of their size of their savings?
Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 36 kilometers, Maxwell's walking speed is 3 km/h, and Brad's running speed is 6 km/h. What is the distance traveled by Maxwell when they meet in the middle?
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?
There are three prizes to be distributed among ten students. If no students gets more than one prize, then this can be done in?
Difference between two numbers is 5, six times of the smaller lacks by 10 from the four times of the greater. Find the numbers?
Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is?
An urn contains 10 balls, numbered from 1 to 10. If 2 balls are selected at random with replacement from the urn, what is the probability F that the sum of the 2 numbers on the balls will be even?
If (z + 3)/5 is an integer, what is remainder when z is divided by 5?
A round table conference to be held between 20 delegates of 20 countries. In how many ways can they seated if two particular delegates are always to sit together?
Dany bought a total of 24 game cards some of which cost $0.25 each and some of which cost $0.15 each. If Dany spent $4.2 to buy these cards, how many cards of each type did he buy?
For a certain set of numbers, if x is in the set, then x - 1 is also in the set. If the number 1 is in the set , which of the following must also be in the set ? a) 4 b) 0 c) -3
Find the amount on Rs.5000 in 2 years, the rate of interest being 20% per first year and 25% for the second year?
five children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Children AB must sit next to each other, and child C must be somewhere to the right of AB. How many possible configurations are there for the children?
The present age of a father is 3 years more than three times the age of his son.Three years hence,father as age will be 13 years more than twice the age of the son.Find the present age of the father.
20 throws of a die produces following results SCORE -- NUMBER OF OCCURRENCES ---1-------------------4 ---2-------------------3 ---3-------------------5 ---4-------------------2 ---5-------------------2 ---6-------------------4 What is the probability P that one more throw to this series will increase the mean score?
In how many ways can an answer key for a quiz be written if the quiz contains 5 true-false questions followed by 2 multiples-choice questions with 4 answer choices each, if the correct answers to all true-false questions cannot be the same?
20.036 divided by 0.04 gives :
A square is drawn inside a right-angled triangle with the two perpendicular sides as 12 cm and 8 cm. what is the side of the largest possible square that can be drawn?
A sum of Rs.4800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years.
By selling an article for $90, a person gains $15. What is the gain %?
Three friends (Tony, Ben and George) are employees of a company. Their respective salaries are in the ratio of 3 : 4 :5. Ben and George's salaries together is Rs. 8550. By what percent is George's salary than that of Sarah?
4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%?
The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
70,75, 76,75,90,105,105,130,130,130 The list consists of the times in seconds that it took each of the 10 school children to run a distance of 400 mts . If the standard deviation of the 10 running times is 22.4, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times.
In three coloured boxes - Red, Green and Blue, 108 balls are placed. There are twice as many balls in the green and red boxes combined as there are in the blue box and twice as many in the blue box as there are in the red box. How many balls are there in the green box ?
There are three foam generators in the factory, each of the first two can generate 8 liters of foam in one hour and the third can generate 18 liters in an hour. The three generators start working together at the same time and after one hour and a half one of the first generators stops working and two hours after that the third generator stops working and only one generator is left. If 5 hours after they all started to work the last generator stops working, how many liters of foam were generated?
In a game, one player throws two fair, six-sided die at the same time. If the player receives at least a two or a one on either die, that player wins. What is the probability that a player wins after playing the game once?
A rectangular field has a length 10 meters more than it is width. If the area of the field is 144, what is the length (in meters) of the rectangular field?
Find the smallest number which leaves 22,35, 48 and 61 as remainders when divided by 26, 39, 52 and 65 respectively.
8, 12, 18, 27, 40.5, (...)
In the faculty of Reverse-Engineering, 100 second year students study numeric methods, 100 second year students study automatic control of airborne vehicles and 25 second year students study them both. How many students are there in the faculty if the second year students are approximately 50% of the total?
Which of the following list a prime number ?
The average weight of A, B and C is 65 kg. If the average weight of A and B be 60 kg and that of B and C be 70 kg, then the weight of A is:
0.002 x 0.5 = ?
If 2x = 3y = 10, then 3xy = ?
Dany bought a total of 26 game cards some of which cost $0.25 each and some of which cost $0.15 each. If Dany spent $4.2 to buy these cards, how many cards of each type did he buy?
The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
If x+y=-10, and x=25/y, what is the value of x^2+y^2?
The cricket team of 11members is 26yrs old & the wicket keeper is 3 yrs older. If the ages ofthese 2are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. What is the average age of the team ?
The side of a rhombus is 26 m and length of one of its diagonals is 20 m. The area of the rhombus is?
Find the ratio in which rice at Rs.7.00 a kg be mixed with rice at Rs.5.70 a kg to produce a mixture worth Rs.6.30 a kg?
ABCDEFGH is an equiangular octagon with side lengths 2,4√2,1,3√2,2,3√2,3,and 2√2 in that order. Compute the area of the octagon.
Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
What is the smallest integer that is the sum of 2 distinct prime integers, each greater than 140?
In one hour,a boat goes 13 km along the stream and 9 km against the stream.The speed of the boat in still water (in km/hr) is :
A solution contains 8 parts of water for every 7 parts of Lemonade syrup. How many parts of the solution should be removed and replaced with water so that the solution will now contain 25% lemonade syrup?
A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 30% greater than the number of people there from 11 a.m. to 12 p.m. The number of the people at the bar from 11 a.m. to 12 p.m. was 20% less than the number there from 10 a.m. to 11 a.m. If 92 people were at the bar from 11 a.m. to 1 p.m., which of the following is the number of people in the bar from 10 a.m. to 11 a.m.?
A number exceeds 20% of itself by 40. The number is ?
Aish started a business investing Rs. 25,000 in 2010, In 2011, he invested an additional amount of Rs. 10,000 and Roshan joined him with an amount of Rs. 35,000. In 2012, Aish invested another additional amount of Rs. 10,000 and Atul joined them with an amount of Rs. 35,000. What will be Roshan’s share in the profit of Rs. 2,70,000 earned at the end of 3 years from the start of the business in 2010?
If one-third of one-fourth of a number is 12, then three-tenth of that number is: A. 35
Three pipes A, B and C can fill a tank from empty to full in 20 minutes, 20 minutes and 30 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution P in the liquid in the tank after 3 minutes?
In a certain habitat, animals live in groups of two and groups of three. Each time a new animal arrives at the habitat, it randomly chooses a group. If the chosen group has two animals in it, the new animal joins the group forming a group of three animals. If the chosen group has three animals in it, the new animal takes one of the animals away from the group of three and forms a separate group of two animals. If initially there are five animals in the habitat, and new animals arrive one at a time, what is the probability that the fourth new animal joins a group of two animals?
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 1 year the amount to be paid is?
A pair of toys was bought for $162 at a discount of 10%. What must be the marked price of each of the toy?
33 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?
Tom can hit a target 3 times in 6 shots, Karan can hit the target 2 times in 6 shots & Ashwini can hit 4 times in 4 shots. What is the probability that at least 2 shots hit the target ?
A can do a piece of work in 3 days of 5 hours each and B alone can do it in 5 days of 3 hours each.how long will they take it to do working together 3/4 hours a day?
If (1/2)^18 (1/81)^k = 1/18^18, then k =
Will must choose a 3-character computer password, consisting of 1 letter from the alphabet and 2 distinct digits, in any order.From how many different passwords can Will choose?
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :
The difference of the squares of two consecutive even integers is divisible by which of the following integers ?
A train 200 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
In how many ways can 6 arts and 4 science students be arranged in a row so that the arts and the science students are placed alternately?