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big_math_dataset

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One pump drains one-half of a pond in 2.5 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone?
6x – 5y + 3z = 23 4x + 8y – 11z = 7 5x – 6y + 2z = 10 Given the equations above, x + y + z = ?
The sum of the present age of Henry and Jill is 40. What is their present ages if 8 years ago Henry was twice the age of Jill?
If ‘LONDON’ is coded as ‘KNMCNM’, then ‘INDIA’ is coded as
Annika hikes at a constant rate of 10 minutes per kilometer. She has hiked 2.75 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 45 minutes. If Annika continues east, then turns around and retraces her path to reach the start of the trail in exactly...
Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
Out of three consecutive odd numbers eleven times the first number is equal to addition of thrice the third number and adding 16 to four times the second . What is the first number?
Rahul is a cashew merchant in Kerala. He has cashews in sealed wooden boxes of 10kg each. The price of the cashew increases by Rs.20 per kg for every year, but at the same time, 10% of the cashews are eaten by rodents every year. If the price of a 1 kg of fresh cashew is Rs.100, what is the change in his profits if he ...
Rs.8000 become Rs.10210 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
34. The side surface of a cylinder is rolled with a rectangle. If the height of a cylinder is 16 feet and the perimeter of the circular base. Is 12 feet, what is the diagonal of the rectangle?
If 30% of 100 is greater than 50% of a number by 10, then the number is?
If A lends Rs.2000 to B at 15% per annum and B lends the same sum to C at 17% per annum then the gain of B in a period of 4 years is?
What is the speed of the train? I.The train crosses a signal pole in 18 seconds. II.The train crosses a platform of equal length in 36 seconds. III.Length of the train is 330 metres.
Three grades of milk are 1 percent, 2 percent and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 1.5 percent grade, what is x in terms of y and z?
A solution of 60 ounces of sugar and water is 20% sugar. How much water must be added to make a solution that is 5% sugar?
In how many ways can the letters of the word SPENCER be arranged if the S and P must always be together and the N and C must always be together?
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 26 seconds. The ratio of their speeds is?
A person has to make 146 pieces of long bar. he take $ seconds to cut piece.what is total time taken by him to make 146 pieces?
The manager at a health foods store mixes a unique superfruit juice cocktail that costs $1399.45 per litre to make. The cocktail includes mixed fruit juice and açai berry juice, which cost $262.85 per litre and $3104.35 per litre, respectively. The manager has already opened 32 litres of the mixed fruit juice. How many...
The cost price of 14 articles is equal to the selling price of 11 articles. Find the profit percent?
There are 7 Physics and 1 Chemistry book in shelf A and 5 Physics books in Shelf B, one book is moved from shelf A to shelf B. A student picks up a book from shelf B. Find the probability that the Chemistry book is taken by the student.
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
Two pipes A and B can fill a tank in 50hour and 75 hours respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?
A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B's share is:
The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?
The average (arithmetic mean) of six numbers is 10. If 3 is subtracted from each of four of the numbers, what is the new average?
The speeds of 3 trains in the ratio 2:4:6. The ratio between time taken by them to travel the same distance is?
How many diagonals does a 62-sided convex polygon have?
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 7 years, son's age will be:
A person travels from P to Q a speed of 50 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips?
Express 5 mps in kmph?
In your classes you counted 126 hands. How many students were at the class?
A man engaged a servant on the condition that he would pay him Rs.900 and a uniform after 1year service. He served only for 9 months and receiveduniform and Rs.650, find the priceof the uniform?
In a certain voting district, 40 percent of registered voters live in Town A and the rest live in Town B. In the last election, 70 percent of the registered voters from Town A voted. If equal numbers of registered voters from both towns voted, approximately what percent of the registered voters from Town B voted?
A volunteer organization is recruiting new members. In the fall they manage to increase their number by 4%. By the spring however membership falls by 19%. What is the total change in percentage from fall to spring?
Alicia lives in a town whose streets are on a grid system, with all streets running east-west or north-south without breaks. Her school, located on a corner, lies three blocks south and three blocks east of her home, also located on a corner. If Alicia s equally likely to choose any possible path from home to school, a...
There are 4 more women than men on Centerville's board of education. If there are 4 members on the board, how many are women?
If O is the center of the circle in the figure above and the area of the unshaded sector is 5, what is the area of the shaded region?
What quantity of water should taken out to concentrate 27 liters of 40% acidic liquid to 60% acidic liquid?
A rectangular grass field is 75 m * 55 m, it has a path of 3.2 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
Two sides of a triangle have length 6 and 8. Which of the following are possible areas of the triangle? I. 6 II. 12 III. 24
A 240 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 rower can row upstream at 7 km/hr and downstream at 15 km/hr. What is the rower's rate in still water?
If W is the set of all the integers between 49 and 88, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then W contains how many numbers?
Two vertical pole of 2 m and 8 m stand apart on a horizontal plane.The height in meters at the point of intersection of the line joining the top of each pole to the bottom of other pole is ....
The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
To be considered for “movie of the year,” a film must appear in at least 1/4 of the top-10-movies lists submitted by the Cinematic Academy’s 760 members. What is the smallest number of top-10 lists a film can appear on and still be considered for “movie of the year”?
If 4 people are selected from a group of 8 married couples, what is the probability that none of them would be married to each other?
The cost of 3 chairs and 10 tables is Rs 9856. What is the cost of 6 chairs and 20 tables?
A certain hall contains two cuckoo clocks. If the first clock chirps 20 times per hour and the second clock chirps 7 times per hour, and both clocks chirp for the first time at 2:03 pm, at what time will the first clock have chirped three times as many times as the second clock can chirp per hour?
How many cubes of 10cm edge can be put in a cubical box of 1m edge
Which greatest possible length can be used to measure exactly 10 meter 40 cm, 14 meter 10 cm and 7 meter 90 cm
The subsets of the set {w, x, y} are {w}, {x}, {y}, {w, x}, {w, y}, {x,y}, {w, x, y}, and { } (the empty subset). How many subsets of the set {w, x, y, z} contain w?
The greatest common factor of two numbers is 5!. Which of the following can be the second number, if one of the numbers is 6!?
There are twelve consecutive flags at an equal interval of distance. A man passes the 8th flag in 8 seconds. How many more seconds will he take to pass the remaining 4 flags ?
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good?
If a number is exactly divisible by 11 and 13, which of the following types the number must be?
A dance delegation of 4 people must be chosen from 5 pairs of dance partners. If 2 dance partners can never be together on the delegation, how many different ways are there to form the delegation?
If x = 1- 2t and y = 2t - 2, then for what value of t does x = y?
If x and y are positive integers, and 4x^2=2y, then which of the following must be a multiple of 9? I. x^2 II. y^2 III. xy
The average (arithmetic mean) of 20, 40, and 60 is 8 more than the average of 10, 70, and what number?
Anil had to do a multiplication. Instead of taking 35 as one of the multipliers, he took 53. As a result, the product went up by 540. What is the new product?
Murali travelled from city A to city B at a speed of 50 kmph and from city B to city C at 50 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 2 : 3?
A city council will select 2 of 9 available firefighters and 1 of 4 available police officers to serve on an advisory panel. How many different groups of 3 could serve on the panel?
you need to pict any number from 1, 3,5,7,9,11,13 and 15 to make below equation true. ()+()+()=30 can you solve it?
A number is said to be a “digifac” if each of its digits is a factor of the number itself. What is the sum Z of the missing digits of the following five-digit digifac: 9, 5, 3 _ _ ?
If $0.80 is the commission for sales of $2,000, what percent of the sales amount is the commission?
A bookseller sells his books at a 10% markup in price. If he sells a book for $11.00, how much did he pay for it?
Which of the following could be the sides of an obtuse angled triangle? all values are in degree I. 19, 29, 39 II. 29, 39, 49 III. 10,110, 60
With what number must 6.2587 be multiplied in order to obtain the number 625.87?
Students of three different classes appeared in common examination. Pass average of 10 students of first class was 60%, pass average of 15 students of second class was 60% and pass average of 25 students of third class was 80% then what will be the pass average of all students of three classes?
A car crosses a 600 m long bridge in 5 minutes. Whatis the speed of car in km per hour?
Which of the following inequalities is always true for any non-negative real numbers numbers 'x' and 'y'?
In a certain sequence, the first term is 2, and each successive term is 2 more than the reciprocal of the term that immediately precedes it. What is the fifth term in this sequence?
Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 74 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the total time it takes Maxwell before he meets up with Brad?
The number of roots common between the two equations x3 + 3x2 + 4x + 5 = 0 and x3 + 2x2 + 7x + 3 = 0 is
If 4XZ + YW = 4 and XW + YZ = 8, what is the value of the expression (2X + Y)(2Z + W)?
B completes a work in 7 days. A alone can do it in 10 days. If both work together, the work can be completed in how many days?
In one hour, a boat goes 8 km along the stream and 2 km against the stream. the sped of the boat in still water (in km/hr) is :
If x/4 + 24/x = 5, what are the values of 2x - 7?
There are three departments having students 62,58,24 .In an exam they have to be seated in rooms such that each room has equal number of students and each room has students of one type only (No mixing of departments). Find the minimum number of rooms required?
On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 350 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school?
P runs 25% faster than Q so P gives Q a 60 meter head start. If the race ends in a tie, how far (in meters) did P run in the race?
Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64500. What is his profit percent?
Indu gave Bindu Rs.1250 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
Let x be a positive integer, what is the remainder when 2^(3x+3)+3 is divided by 3?
A polling company surveyed a certain country, and it found that 35% of that country’s registered voters had an unfavorable impression of both of that state’s major political parties and that 20% had a favorable impression only of Party W. If one registered voter has a favorable impression of both parties for every two ...
If x < y < z and y-x > 11, where x is an even integer and y and z are odd integers, what is the least possible value of z - x?
The profit obtained by selling an article for Rs. 66 is the same as the loss obtained by selling it for Rs. 22. What is the cost price of the article?
If 25% of a number is equal to one-third of another number, what is the ratio of first number to the second number?
If 7a - 3b = 10b + 50 = -12b - 2a, what is the value of 9a + 9b?
A pupil's marks were wrongly entered as 73 instead of 40. Due to the average marks for the class got increased by half. The number of pupils in the class is?
On a scale that measures the intensity of a certain phenomenon, a reading of a+1 corresponds to an intensity that is 10 times the intensity corresponding to a reading of a. On that scale, the intensity corresponding to a reading of 8 is how many times as great as the intensity corresponding to a reading of 3?
Two family reunions are happening at the same hotel, the Oates reunion and the Yellow reunion. All 100 guests at the hotel attend at least one of the reunions. If 42 people attend the Oates reunion and 65 people attend the Yellow reunion, how many people attend both reunions?
Harriet planned to complete a certain task on Wednesday, January 1, but because of illness the completion date was postponed 45 days. On which day of the week in February was the task completed?
If abc = ab^3 = 180 where a, b and c are positive integers, what is the value of `c’?
Find the number of ways in which 8064 can be resolved as the product of two factors?
How many paying stones, each measuring 4 m * 2 m are required to pave a rectangular court yard 40 m long and 20 m board?
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%?
A shop produces sarongs. The daily average production is given by 5n + 20, where n is the number of workers aside from the owner. In the first k days, 500 units are produced, and then 5 workers are added to the team. After another k days, the cumulative total is 900. How many workers were part of the latter production ...