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big_math_dataset

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If 1 is added to the denominator of fraction, the fraction becomes 1/2. If 1 is added to the numerator, the fraction becomes 1. The fraction is ?
The ratio of length to width of a rectangular showroom window is 3.3 to 2. If the width of the window is 8 feet, what is the approximate length of the display in feet?
Suresh started a business, investing Rs.18000. After 3 months and 4 months respectively, Rohan and Sudhir joined him with capitals of 12000 and 9000. At the end of the year the total profit was Rs.3982. What is the difference between Rohan’s and Sudhir’s share in the profit?
What is the greatest prime factor of 4^15 - 2^28?
A number of 44 marbles is to be divided and contain with boxes. If each box is to contain 3, 4, or 5 marbles, what is the largest possible number of boxes?
A batsman makes a score of 82 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?
Which of the following describes all values of x for which 1–x^2 >0?
The sum of ages of 5 children born 1.5 years different each is 50 years. What is the age of the Elder child?
Two wheels are connected via a conveyor belt. The larger wheel has a 48cm diameter and the smaller wheel has a 32cm diameter. In order for the conveyor belt to work smoothly, each wheel must rotate the exact same number of centimetres per minute. If the larger wheel makes r revolution per minute, how many revolutions does the smaller wheel make per hour in terms of r?
A and B can do a piece of work in 18 and 9 days respectively. A does the work for a few days and left, then B continued for 6 days. How many days did A and B work together?
Kate and David each have $10. Together they flip a coin 5 times. Every time the coin lands on heads, Kate gives David $1. Every time the coin lands on tails, David gives Kate $1. After the coin is flipped 5 times, what is the probability that Kate has more than $10 but less than $15?
I. a3 - 988 = 343, II. b2 - 72 = 49 to solve both the equations to find the values of a and b?
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 6 boys when a boy gets any no. of prizes?
x, y and z are consecutive positive integers such that x < y < z; which of the following must be true? 1. xyz is divisible by 6 2. (z-x)(y-x+1) = 4 3. xy is even
Ranjeet purchased an item for Rs.3500 and sold it at the loss of 25%. From that amount he purchased another item and sold it at the gain of 20%. What is his overall gain/loss?
Find the odd man out 3, 8, 38, 78, 158
From the answers select the option that is near to √5?
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 55 kg. What might be the weight of the new person?
If x is divisible by 5, 20, and 125, which of the following must be the least multiple of x?
Which of the following has 21^20 as a factor?
Mary and Mike enter into a partnership by investing $650 and $350 respectively. At the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. If Mary received $600 more than Mike did, what was the profit made by their business in that year?
A can knit a pair of socks in 3 days. B can knit the same thing in 6 days. If they are knitting together, in how many days will they knit two pairs of socks?
If 12 : 8 :: x : 16, then find the value of x
It takes Kannan 10 minutes to walk to the car park and 110 min to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.?
Reema can complete a piece of work in 12 days while Seema can the same work in 18 days. If they both work together, then how many days will be required to finish the work?
Calculate the sum of first 39 natural numbers.
In a class of 50 students, 3/5 went away do painting, 1/5 went to play in the field. How many students are left in the classroom?
Which is largest prime number?
Excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 42 kmph. Of how many minutes does the train stop per hour?
A sum of money is to be distributed among A, B, C, D in the proportion of 6 : 2 : 4 : 3. If C gets $500 more than D, what is D's share?
If A lends Rs.2000 to B at 10% per annum and B lends the same sum to C at 11.5% per annum then the gain of B in a period of 3 years is?
Kim purchased n items from a catalog for $8 each. Postage and handling charges consisted of $6 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ?
Claire has a total of 92 pets consisting of gerbils and hamsters only. One-quarter of the gerbils are male, and one-third of the hamsters are male. If there are 25 males altogether, how many gerbils does Claire have?
A car driver travels from the plains to the hill station, which are 200 km apart at an average speed of 50km/hr. in return trip, he covers the same distance at an average speed of 20km/hr. the average speed of the car over the entire distance of 400 km is
The mass of 1 cubic meter of a substance is 400 kg under certain conditions. What is the volume in cubic centimeters of 1 gram of this substance under these conditions? (1 kg =1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)
Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs.120000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh
A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in?
Two trains 500 m and 750 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Machine M, N, O working simultaneously Machine M can produce x units in 3/4 of the time it takes machine N to produce the same amount of units. Machine N can produce x units in 2/5 the time it takes machine O to produce that amount of units. If all three machines are working simultaneously, what fraction of the total output is produced by machine N?
How many words can be formed from the letters of the word ‘DIRECTOR’ So that the vowels are always together?
A box contains 2 red, 3 black and 4 blue balls. 3 balls are randomly drawn from the box. If two balls are found to be different, what is the probability that the third ball is blue?
Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 60900. What is his profit percent?
The length of the bridge, which a train 110 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
A shopkeeper loses 15%,if an article is sold for Rs. 102. What should be the selling price of the article to gain 20%?
1907 x 1907 = ?
Given f(x) = 3x – 5, for what value of x does 2*[f(x)] – 19 = f(x – 4) ?
3 person can fill tank in 25 min, a can fill in 30 min , b can fill in 35 min and c can empty the 5 gallon per min then what is the capacity of tank?
The edge of three cubes of metal is 3 dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube?
A man gains 30% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be.
A doctor prescribed 20 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage greater than the typical dosage?
The price of lunch for 15 people was $208.00, including a 15 percent gratuity for service. What was the average price per person, EXCLUDING the gratuity?
An adventuring party consists of 4 white mages, 6 warriors, and 4 archers. In how many ways can 3 white mages, 2 warriors and 2 archers be selected from the given group?
Peter invests a sum of money and gets back an amount of $ 815 in 3 years . David invests an equal amount of money and gets an amount of $850 in 4 years. If both amounts were invested at the same rate (simple interest ) What was the sum of money invested ?
If x is equal to the sum of the integers from 60 to 80, inclusive, and y is the number of even integers from 60 to 80, inclusive, what is the value of x + y?
A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
If 2a – b = 3c, where a, b, and c are non-zero integers, which of the following could be the average (arithmetic mean) of a and b, if the average must itself be an integer?
A group of n students can be divided into equal groups of 4 with 2 student left over or equal groups of 5 with 2 students left over. What is the sum of the two smallest possible values of n?
What is the number which when multiplied by 13 is increased by 180?
Over a three-week period, the price of an ounce of gold increased by 10% in the first week, decreased by 20% in the following week, and increased by 10% in the third week. If the price of gold was G dollars per ounce at the beginning of the three weeks, what was the price at the end of the three weeks?
A man can do a piece of work in 5 days, but with the help of his son he can do it in 3 days. In what time can the son do it alone ?
Solve the given two equations and find the inequality of X and Y. (a) 2x^2 + 11x + 14 = 0 and (b) 4y^2 + 12y +9 =0
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Eight years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:
A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
The original price of a suit is $200. The price increased 30%, and after this increase, the store published a 30% off coupon for a one-day sale. Given that the consumers who used the coupon on sale day were getting 30% off the increased price, how much did these consumers pay for the suit?
Two trains are running in opposite directions with the same speed. If the length of each train is 240 m and they cross each other in 12 sec, then the speed of each train is?
What is the banker's discount if the true discount on a bill of Rs.540 is Rs.90 ?
Each of the integers from 0 to 8, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10?
The average weight of 10 men is increased by 1 ½ kg when one of the men who weighs 48 kg is replaced by a new man. What is the weight of the new man?
If an article is sold at 19% profit instead of 12% profit, then the profit would be Rs. 105 more. What is the cost price?
.005/?= .01
60% of x is greater than 1/3rd of x by 110.what is x?
The grade point average of one third of the classroom is 69; the grade point average of the rest is 60. What is the grade point average of the whole class?
Two trains are running at 40 kmph and 20 kmph respectively in the same direction.Fast train completely passes a man sitting in the slower train in 9 seconds.What is the length of the fast train?
The seats in an Engineering college for Computer science, electronics and civil are in the ratio of 5 : 7 :8. There is a proportion to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?
The average weight of 4 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?
The numerator of a certain fraction is 8 less than the denominator. If 3 is added to the numerator and 3 is subtracted from the denominator, the fraction becomes 3/4. Find the original fraction?
Which of the following leads to the correct mathematical solution for the number of ways that the letters of the word RADAR could be arranged to create a five-letter code?
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 2 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
In covering a distance of 30 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is:
One half of a two digit number exceeds its one third by 8. What is the sum of the digits of the number?
The ages of two persons differ by 16 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively
Patrick purchased 90 pencils and sold them at a loss equal to the selling price of 40 pencils. The cost of 90 pencils is how many times the selling price of 90 pencils?
Mandy drove from point A to point B at 60 Km/h. On her way back she drove at 80 Km/h and therefore her way back lasted one hour less. What is the distance (in Km) between A and B?
S is the infinite sequence S1 = 2, S2 = 22, S3 = 222,...Sk = Sk–1 + 2(10k–1). If p is the sum of the first 30 terms of S, what is the eighth digit of p, counting right to left from the units digit?
In a certain apartment building, there are one-bedroom and two-bedroom apartments. The rental prices of the apartment depend on a number of factors, but on average, two-bedroom apartments have higher rental prices than do one-bedroom apartments. Let M be the average rental price for all apartments in the building. If M is $1,000 higher than the average rental price for all one-bedroom apartments, and if the average rental price for all two-bedroom apartments is $9,000 higher that M, then what percentage of apartments in the building are two-bedroom apartments?
Find the number of square tiles to cover the floor of a room measuring 10 m * 12 m leaving 0.25 m space around the room. A side of square tile is given to be 50 cms?
Find the value for x from below equation: x/3=-2?
If m=9^(x−1), then in terms of m, 3^(4x−5) must be which of the following?
In the first half of the 20th century, the population of a particular country increased by 200 percent. In the second half of the century, the population increased by 300 percent. What was the percent increase for the 20th century as a whole?
Find the least number which when divided by 6, 9, 14, 21 and 24 leaves 1, 4, 9, 16 and 19 as remainders respectively, but when divided by 17 leaves no remainder.
The probability that a visitor at the mall buys a pack of candy is 20%. If three visitors come to the mall today, what is the probability that exactly two will buy a pack of candy?
an operation * is defined by the equation: a*b=a-b/a+b, for all numbers a and b such that a is not equal to -b, if a is not equal to -t and a*t=0, then =?
find the average of all the number between 6 and 34 which are divisible by 5.
Kevin purchased a house for Rs.61000 and a site for Rs.29000 respectively, if he sold the house for Rs.77000 and the site for Rs.19000, then find the resultant percentage of gain?
1, 6, 13, 22, 33, ?
If Scott has earned 15 dollars by working 4 days a week at a constant daily rate for 1 weeks, which of the following represents his daily wage?
8% people of a village in Sri Lanka died by bombardment, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning?
Find the area of the quadrilateral of one of its diagonals is 24 cm and its off sets 9 cm and 6 cm?
On a wedding catering service, An experienced chef can prepare a service for a wedding in 4 hours while an novice chef would finish the preparations in 16 hours. If the catering service employs the same number of novice and experienced chefs, then how many chefs would it take to prepare a wedding service in 1 hour and 36 minutes?