Datasets:
dfdsfgf
/
big_math_dataset

Dataset card Data Studio Files
xet
Community
1
question
stringlengths
3
1.14k
Six persons A,B,C,D,E &F went to soldier cinema. There are six consecutive seats. A sits in the first seat followed by B, followed by C and so on. If A taken on of the six seats, then B should sit adjacent to A. C should sit adjacent to A or B. D should sit adjacent to A, B or C and so on. How many possibilities are there ?
a man owns 2/3 of market reserch beauro buzness,and sells 3/4 of his shares for 30000rs,what is the value of buzness?
In what time will a train 100 m long cross an electric pole, it its speed be 162 km/hr?
A basket has 5 oranges and 4 oranges. Three fruits are picked at random. The probability that at least 2 oranges are picked is
The volumes of two cones are in the ratio 1 : 40 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
1, 2, 3, 10, ?, 9802
A shopkeeper sells 300 metres of cloth for Rs. 9000 at a loss of Rs.6 per metre. Find his cost price for one metre of cloth?
Andrew travelling to 7 cities. Gasoline prices varied from city to city. $1.75, $1.61, $1.79, $2.11, $1.96, $2.09, $1.83. What is the median gasoline price?
Anu can do a work in 6 days and Binu alone in 9 days. Anu and Binu undertook to do it for Rs.4800. With help of Minu, they completed the work in 3 days. How much is to be paid to Minu and Anu?
A bowl was filled with 10 ounces of water, and 0.007 ounce of the water evaporated each day during a 50-day period. What percent of the original amount of water evaporated during this period?
xa=yb=zc and y2=xz. Find b.
If (y - 1)(z + 1) + 4(z - 3) = 0, then which of the following must be true?
A trained covered x km at 40 kmph and another 2x km at 20 kmph. Find the average speed of the train in covering the entire 6x km.
The sum of a number and the number preceding it is 33. By how much is two less than six times the number?
A seller has 1000 kg of rice part of which he sells at 8% profit and the rest at 18% profit. He gains 14%. The quantity sold at 18% profit is?
An equity analyst needs to select 3 stocks for the upcoming year and rank these securities in terms of their investment potential. If the analyst has narrowed down the list of potential stocks to 7, in how many ways can she choose and rank her top 3 picks?
How many positive integers less than 300 can be formed using the numbers 1, 2, 3 and 5 for the digits?
70, 75, 80, 85, 90, 105, 105, 130, 130, 130 The list shown consists of the times, in seconds, that it took each of 10 schoolchildren to run a distance of 400 on of meters. If the standard devastation of the 10 running times is 25.4 seconds, 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?
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 2 employees to 3 different offices?
Simplify the following 515*515*515-221*221*221/(515*515+515*221+221*221)
f1 (x) = x 0 ≤ x ≤ 1 = 1 x ≥ 1 = 0 otherwise f2 (x) = f1(–x) for all x f3 (x) = –f2(x) for all x f4 (x) = f3(–x) for all x How many of the following products are necessarily zero for every x: f1(x) f2 (x), f2 (x) f3 (x), f2(x) f4 (x)
If the simple interest on a certain sum of money for 6 years is one–fifth of the sum, then the rate of interest per annum is
The number of people at Ovations Bar in the hour from 12 p.m. to 1 p.m. was 50% 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 25% less than the number there from 10 a.m. to 11 a.m. If 75 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.?
The speed at which a man can row a boat in still water is 22 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 80 metres?
In measuring the sides of a rectangle, one side is taken 20% in excess and the other 10% in deficit. Find the error per cent in area calculated from the measurement?
Insert the missing number 2, 4, 8, ..., 32, 64, 128, 256
Population of a city in 20004 was 1000000. 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
Mark and Ann together were allocated n boxes of cookies to sell for a club project. Mark sold 7 boxes less than n and Ann sold 2 boxes less than n. If Mark and Ann have each sold at least one box of cookies, but together they have sold less than n boxes, what is the value of n?
The sum of the present ages of father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be?
Angelo and Isabella are both salespersons. In any given week, Angelo makes $550 in base salary plus 8 percent of the portion of his sales above $2,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same amount of money?
What is the value of (12 + 22 + 32 + 42 + ----- + 102)
6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in - days.
C and D are tying water balloons for a party. 5 out of every 8 balloons that C ties does not pop, and 2 out of every 3 balloons that D ties does not pop. If they each tie 120 balloons, what fraction of the 240-pack will pop?
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 72 km/hr. What is the length of the platform?
20 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take to do the same. If 3 women do as much work as 2 men?
A train 125 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?
A bag contains 3 white balls, 3 black balls, and 4 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red?
An analysis of the monthly incentives received by 5 salesmen : The mean and median of the incentives is $7000. The only mode among the observations is $12,000. Incentives paid to each salesman were in full thousands. What is the difference V between the highest and the lowest incentive received by the 5 salesmen in the month?
If a is an even integer and b is an even integer and a > b which of the following must be an odd integer :
A farm is made up of brown and white goats. the number of male brown goats is 35% less than the total number of brown goats. The total number of female goats is 20 times more than the number of female brown goats. If the total population of male goats is half the population of the female goats, what percentage of male goats are brown?
When a person aged 39 is added to a group of n people, the average age increases by 2. When a person aged 15 is added instead, the average age decreases by 1. What is the value of T?
A circular well with a diameter of 2 metres , is dug to a depth of 8 metres. What is the volume of the earth dug out?
0.0002152/0.000205 x 12.05=?
In how many ways can 22 books on English and 20 books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together?
A math teacher has 24 cards, each of which is in the shape of a geometric figure. Half of the cards are rectangles, and a third of the cards are rhombuses. If 8 cards are squares, what is the maximum possible number of cards that re circles.
Nicky and Cristina are running a race. Since Cristina is faster than Nicky, she gives him a 54 meter head start. If Cristina runs at a pace of 5 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him?
Shop Offered 30% offer for every Shirt, Smith bought a shirt at Rs. 560. and What was the shop's original selling Price?
Dimitri weighs x pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of 3y-y pounds. Which of the following represents Allen’s weight?
The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:
24 oz of juice P and 25 oz of juice V are mixed to make smothies E and Y . The ratio of p to V in smothie E is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie E?
If x > 4 and y < -4, then which of the following must be true ?
Jane and Ashley take 20 days and 10 days respectively to complete a project when they work on it alone. They thought if they worked on the project together, they would take fewer days to complete it. During the period that they were working together, Jane took an eight day leave from work. This led to Jane's working for four extra days on her own to complete the project. How long did it take to finish the project ?
Jayant opened a shop investing Rs. 30,000. Madhu joined him 2 months later, investing Rs. 45,000. They earned a profit of Rs. 50,000 after completion of one year. What will be Madhu's share of profit?
Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
In how many different number of ways 4 man and 2 woman can sit on a bench?
A certain store sold pens for $0.35 each and pencils for $0.25 each. If a customer purchased both pens and pencils from the store for a total of $3.00, what total number of pens and pencils did the customer purchase?
A 240 meter long train crosses a man standing on the platform in 4 sec. What is the speed of the train?
A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?
If f(x) = 6x^4 - 4x^3 - 3x^2 + 6x , then f(-1) =
You enter a weight loss challenge game and manage to lose 11% of your body weight. For the final weigh in you are forced to wear clothes that add 2% to your weight. What percentage of weight loss is measured at the final weigh in?
Find the arithmetic mean A of all roots of the following equation- see an attachment.
In an election, candidate Douglas won 58 percent of the total vote in Counties X and Y. He won 64 percent of the vote in County X. If the ratio of people who voted in County X to County Y is 2: 1, what percent of the vote did candidate Douglas win in County Y?
Evaluate: 40 - 10÷2×2 =
Each customer of a networking company subscribes to one of two plans: Plan A or Plan B. Plan A costs $100 per month and Plan B costs $200 per month per customer. If the company’s average revenue per customer per month is $150, then what percent of the company's revenue comes from customers with Plan A?
Oil is poured into a tank so that the tank is being filled at the rate of 4 cubic feet per hour. If the empty rectangular tank is 9 feet long, 8 feet wide, and 5 feet deep, approximately how many hours does it take to fill the tank?
Divide 675 to A and B in ratio 5:4.
A teacher gave the same test to three history classes: K, B, and C. The average (arithmetic mean) scores for the three classes were 65, 80, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined?
Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 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 Q in the liquid in the tank after 3 minutes?
If m is the average (arithmetic mean) of the first 10 positive multiples of 6 and if M is the median of the first 10 positive multiples of 6, what is the value of M – m ?
A can do a piece of work in 6 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?
Shekhar started a business investing Rs. 25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajeev joined him with an amount of Rs. 35,000. In 2001, Shekhar invested another additional amount of Rs. 10,000 and Jatin joined them with an amount of Rs. 35,000. What will be Rajeev's share in the profit of Rs. 1,50,000 earned at the end of 3 years from the start of the business in 1999 ?
The marks obtained by Polly and Sandy are in the ratio 3:5 and those obtained by Sandy and Willy are in the ratio of 5:2. The marks obtained by Polly and Willy are in the ratio of...?
Two numbers are respectively 20% and 25% more than a third number. The percentage that is first of the second is?
Rahul rented a power tool from a rental shop. The rent for the tool was $40 for the first hour and $20 for each additional hour. If Rahul paid a total of $160, excluding sales tax, to rent the tool, for how many hours did she rent it?
In how many years, Rs. 150 will produce the same interest at 6% as Rs. 800 produce in 2 years at 4½% ?
A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
When sold at a 40% discount, a sweater nets the merchant a 30% profit on the wholesale cost at which he initially purchased the item. By what % is the sweater marked up from wholesale at its normal retail price?
A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in the total profit of Rs. 24,000 earned at the end of 2 years from the starting of the business?
How many 7-digits number are Palindromic numbers? A Palindromic number reads the same forward and backward, example 1234321.
P, Q, R enter into partnership and their capitals are in the proportion 1/3 : 1/4 : 1/5. P withdraws half his capital at the end od 4 months. Out of total annual profit of Rs. 8470/-, P’s share is:
If m > 0 and x is m percent of y, then, in terms of m, y is what percent of x?
A man can do a piece of work in 4 days, but with the help of his son he can do it in 3 days. In what time can the son do it alone ?
What is the difference between the compound interest on Rs.12000 at 22% p.a. for one year when compounded yearly and half yearly?
A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in?
A can run 224 meter in 28 seconds and B in 32 seconds. By what distance A beat B?
A 10-by-8 inch piece of paper is used to form the lateral surface of a cylinder. If the entire piece of paper is used to make the lateral surface, which of the following must be true of the two possible cylinders that can be formed?
Which of the following MUST yield an integer when divided by 3?
The greatest number by which the product of three consecutive multiplies of 3 is always divisible is
Two spherical balls lie on the ground touching. If one of the balls has a radius of 10 cm, and the point of contact is 12 cm above the ground, what is the radius of the other ball?
Dames school has 2000 boys and 5000 girls. What is the percentage increase from boys to total attendance and girls to total attendance?
Shreyas bought an article and sold it for 125% of its cost price. What was the cost price of the article, if Shreyas sold it for Rs.30750/-?
Y can do a work in 2/3 the time it takes X. Z can do the same work in ¾ the time it takes Y.When all three are typing at the same time what fraction of their total work does Y do
In how many ways, a committee of 8 members can be selected from 10 men and 8 ladies, consisting of 5 men and 3 ladies?
One hour after Adrienne started walking the 60 miles from X to Y, Harold started walking from X to Y as well. Adrienne walks 3 miles per hour and Harold walks 1 mile per hour faster than Adrienne. How far from X will Harold be when he catches up to Adrienne?
A box contains 3 blue marbles, 4 red, 6 green marbles and 1 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/8, then what is the value of abc/def ?
Salesperson A's compensation for any week is $300 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?
A, B, and C were to be paid in proportion to the part of work they did while working on the same piece of work. A and B individually can finish the piece of work in 12 days and 9 days respectively. They worked together for five days and then C completed the remaining work all alone. If $720 was the net sum to be paid for the entire work, what was the average daily wage of B?
Exactly 20% of the reporters for a certain wire service cover local politics in Country X. If 20% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics?