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big_math_dataset

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A work could be completed in 100days by x workers. However, due to the absence of 10workers, it was completed in 110days. The original no.of workers was:
If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Three integers are at random chosen between 0 and 9 inclusive. What is the probability K that each number is different ?
A train 50m long takes 6 sec to cross a man walking at 5kmph in a direction opposite to that of the train. Find the speed of the train?
If in a race of 90m, A covers the distance in 20 seconds and B in 25 seconds, then A beats B by:
Right now, Al and Eliot have bank accounts, and Al has more money than Eliot. The difference between their two accounts is 1/11 of the sum of their two accounts. If Al’s account were to increase by 10% and Eliot’s account were to increase by 20%, then Al would have exactly $22 more than Eliot in his account. How much m...
Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
The number of singles that a baseball player hit increased 10 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 1 percent. If the total number of singles and doubles that she hit increased 3 percent from her first season to her second season,...
A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A?
Two taps can separately fill a cistern 10 minutes and 12 minutes respectively and when the waste pipe is open, they can together fill it in 20 minutes. The waste pipe can empty the full cistern in?
The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 10 years, son's age will be:
Anthony and Cindy were each given X dollars in advance for each day they were expected to perform at a community festival. Anthony eventually performed on all 14 days of the festival, while Cindy performed on 4 fewer days than Anthony performed. If Cindy gives Anthony y dollars of her advance payment so that they would...
Stacy has a 63 page history paper due in 7 days. How many pages per day would she have to write to finish on time?
A runner runs the 40 miles from Marathon to Athens at a constant speed. Halfway through the run she injures her foot, and continues to run at half her previous speed. If the second half takes her 12 hours longer than the first half, how many hours did it take the runner to run the second half?
Andrew purchased 8kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
X and Y started a business by investing Rs.36000 and Rs.42000 respectively after 4 months Z joined in the business with an investment of Rs.48000, then find share of Z in the profit of Rs.13860 ?
A man can row his boat with the stream at 14 km/h and against the stream in 4 km/h. The man's rate is?
If 5 Men or 8 Women take 5 days to complete some work, how many days will 12 Men and 8 Women working together take to complete the work? Can anyone explain please?
Rob also compared the Empire State Building and the Petronas Towers. What is the height difference between the two if the Empire State Building is 480m tall and the Petronas Towers is 516m tall?
Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 216 marks in the second test and failed by 36 marks in that test. Find the pass mark in the first test?
What is x if x + 3y = 10 and y = 3?
Evaluate combination 98C96=98!/(96)!(2)!
The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
The length of the bridge, which a train 130 m long and traveling at 45 km/hr can cross in 30 sec is?
If a 3-number code is formed of the integers from 1 to 16 inclusively, and each of the numbers in the code is different, how many possible codes are there?
Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?
How many integers are there between 55 and 95, inclusive?
In how many different ways can the letters of the word 'JUDGE' be arranged such that the vowels always come together?
Four different children have jelly beans: Aaron has 3, Bianca has 7, Callie has 8, and Dante has 11. How many jelly beans must Dante give to Aaron to ensure that no child has more than 1 fewer jelly beans than any other child?
At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
A shopkeeper sells his goods at cost price but uses a faulty meter that weighs 900 grams. Find the profit percent.
The price of a T.V. set worth Rs. 40000 is to be paid in 20 installments of Rs. 2500 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years.
From an island, it is possible to reach the mainland by either Ferry P or Ferry Q. Ferry P travels for 3 hours at 8 kilometers per hour, while Ferry Q takes a route that is three times longer. If Ferry P is slower than Ferry Q by 1 kilometer per hour, how many hours longer is the journey of Ferry Q compared with the jo...
Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
The average number of shirts with Salman, Ambani and Dalmiya is 60, if all of them reached a shopping mall in Delhi and purchased 6 shirts each of them then average number of shirt each of them now has
If James has to pay 12 % interest per year on an amount of $60,000 for 12 year then what is total interest paid?
By approximately what percent is x greater than 5/11 if (4/11)(x) = 1?
Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.16 per cubic meter?
A farmer used 1,034 acres of land for beans, wheat, and corn in the ratio of 5 : 2 : 4, respectively. How many E acres were used for corn?
The cash difference between the selling prices of an book at a profit of 4% and 6% is $3. The ratio of the two selling prices is:
if z=100^2-x^2,then for how many value of x, z is divisible by 6.
In how many ways can the letters of the word ACUMEN be rearranged such that the vowels alwaysappear together?
How many cuboids of length 5 m, width 3 m and height 2 m can be farmed from a cuboid of 18 m length, 15 m width and 2 m height.
A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was?
The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
The average (arithmetic mean) of six numbers is 5. If 3 is subtracted from each of four of the numbers, what is the new average?
9.6 , 9.6 , 10.0 , 10.0 , 10.0 , 10.1 , 10.2 , 10.5 The mean and the standard deviation of the 8 numbers shown above is 10 and 0.278 respectively. What percent of the 8 numbers are within 1 standard deviation of the mean?
Two different types of tea are mixed, at 6 Kg of type 1 and 4 Kg of type 2. One Kg of type 1 is Rs. 6 and that of type 2 is Rs. 7. The seller get 10% profit, by this action. Find at what price, he had sold the mixture/Kg?
The distance between 2 cities A and B is 1000km. A train starts from A at 12 p.m. and travels towards B at 100 km/hr. Another starts from B at 1 p.m. and travels towards A at 150 km/hr. At what time do they meet?
If a – b = 3 and a2 + b2 = 29, find the value of ab.
A trader purchased two colour televisions for a total of Rs. 35000. He sold one colour television at 30% profit and the other 40% profit. Find the difference in the cost prices of the two televisions if he made an overall profit of 30%?
If f(x) = Log(x), then f -1(x) =
An aeroplane covers a particular distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hour, it must travel at a speed of
Machine A takes 100 hours to complete a certain job and starts that job at 6AM. After ten hour of working alone, machine A is joined by machine B and together they complete the job at 6PM. How long would it have taken machine B to complete the job if it had worked alone for the entire job?
A pipe can empty 3/4th of a cistern in 12mins. In 8 mins, what part of the cistern will be empty?
The population of a town is 176400. If it increase at the rate of 5% per annum. What was its population 4 years ago?
Frank is 13 years younger then John. In 5 years John will be twice as old as Frank. How old will Frank be in four years?
In a certain game there are 7 steps, referred to as step 1, step 2, and so on with the final step being step 7. The steps are played one after the other. In each step a score of 1, 2,3 or 4 is obtained. Mary played the game, getting at least one score of each of 1, 2, 3 and 4 and never getting the same score in consecu...
A 200 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds.What is the lenght of other train.
A train running at the speed of 54 km/hr crosses a pole in 9 seconds. Find the length of the train?
From given equation find the value of x: 2x² + 9x − 5
A and B working separately can complete a piece of work in 9 and 12 days respectively. If they work alternatively starting from A in how many days will the work be completed?
Find the value of (875 233/899) × 899
If c = (1/4)a and b = 7c, then which of the following represents the average (arithmetic mean) of a, b, and c, in terms of c ?
A train of length 230 metres takes 58 seconds to cross a tunnel of length 60 metres. What is the speed of the train in km/hr?
If x, y, and z are distinct positive prime numbers, then (x^3)(y)(z) has how many different positive factors greater than 1?
Two pipes can fill a tank in 18 and 12 hours, while third pipe will make the tank empty in 20 hours. If all three pipes operate simultaneously. In how many hours the tank will be filled ?
The speed of a boat in upstream is 30 kmph and the speed of the boat downstream is 70 kmph. Find the speed of the boat in still water and the speed of the stream?
The average of the marks of 12 students in a class is 36. If the marks of each student are doubled, find the new average?
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?
5, 11, 23, 41, 64, _
In a family 19 people eat only vegetarian, 9 people eat only non veg., 12 people eat both veg and non veg.. How many people eat veg in the family?
The traffic lights at 3 different roads change after every 36 sec, 72 sec, 108 sec respectively. If they all change simultaneously at 9:15 AM then at what time will they again change simultaneously.
A cistern is filled by pipe A in 20 hours and the full cistern can be leaked out by an exhaust pipe B in 25 hours. If both the pipes are opened, in what time the cistern is full?
What is the greatest value of n such that 24^n is a factor of 24! ?
20 14 8 10 5 10 5 ? 3
find value for x from given equation ? x + 1 = -3
Solve This 6 + 7 = 12 8 + 9 = 16 5 + 6 = 10 7 + 8 = 14 Then, 9 + 3 = ??
A boat can move upstream at 20 kmph and downstream at 34 kmph, then the speed of the current is?
The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
13, 35, 57, 79, 911, ?
9 - 3 ÷ 1/3 + 6 = ?
A man is walking at a speed of 10 km per hour. After every kilometre, he takes rest for 6 minutes. How much time will be take to cover a distance of 6 kilometres?
3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order In 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 175kg then find the average weight of all the 7 rounds?
A CAN FINISH A WORK IN 6 DAYS AND B CAN DO THE SAME WORK IN15 DAYS. B WORKED FOR 10 DAYS AND LEFT THE JOB. IN HOW MANY DAYS, A ALONE CAN FINISH THE REMAINING WORK?
A certain collage has total of 400 seniors each majoring in exactly one of six subjects. A minimum of 30 seniors major in each six subjects. If three quarter of the seniors major in one of four subjects, what is the greatest possible number of seniors majoring in one of the other two subjects?
Circles X and Y are concentric. If the radius of circle X is four times that of circle Y, what is the probability that a point selected inside circle X at random will be outside circle Y?
A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
The ratio between the speeds of two Bullet trains is 7: 8. If the second Bullet train runs 440 kms in 5 hours, then the speed of the first train is:
The probability of pulling a black ball out of a glass jar is 1/X. The probability of pulling a black ball out of a glass jar and breaking the jar is 1/Y. What is the probability of breaking the jar?
What will be the difference between simple and compound interest at 8% per annum on a sum of Rs. 1000 after 4 years?
If the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is?
A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 50 as remainder. Find the no. is?
1,3,6,10,15,?
The difference between the simple interest received from two different sources on Rs.1500 for 3 years is Rs.13.50. The difference between their rates of interest is
B takes 12 more days than A to finish a task. B and A start this task and A leaves the task 12 days before the task is finished. B completes 60% of the overall task. How long would B have taken to finish the task if he had worked independently?
If x is an odd negative integer and y is an even integer, which of the following statements must be true? I. (4x - 2y) is odd II. xy^2 is an even negative integer III. (y^2 - x) is an odd negative integer
ake can dig a well in 16 days. Paul can dig the same well in 24 days. Jake, Paul and Hari together dig the well in 8 days. Hari alone can dig the well in
Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl, and then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 10, what is the probability that one of the two cards drawn is numbered 4?