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big_math_dataset

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The average age of an adult class is 50 years. 12 new students with an avg age of 32 years join the class. Therefore decreasing the average by 4 years. Find what was the original average age of the class?
A man distributes 0.375 of his money to his wife and 0.4 to his son. He still has Rs.3,375 left with him. How much did his wife get?
In a certain animal shelter, the ratio of the number of dogs to the number of cats is 15 to 7. If 16 additional cats were to be taken in by the shelter, the ratio of the number of dogs to the number of cats would be 15 to 11. How many dogs are in the shelter?
24 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres?
A box contains seven purple, five blue and eleven yellow balls. What is the minimum number of tries required to get one blue and one yellow ball ?
Money invested at x%, compounded annually, triples in value in approximately every 112/x years. If $2500 is invested at a rate of 8%, compounded annually, what will be its approximate worth in 28 years?
If a man reduces the selling price of a fan from Rs. 420 to Rs. 402, his loss increases by 3%. The cost price of the fan is :
If 2/z = 2/(z + 1) + 2/(z + 64) which of these integers could be the value of z?
Gokul buys 9 horses and 4 cows for Rs. 13,400. if he sells the horses at 20% profit and the cows at 10% profit, then he earns a total profit of Rs. 1880. The cost of a cow is:
Bruno and Sacha are running in the same direction around a stadium. Sacha runs at a constant speed of 6 meters per second, and Bruno runs at a constant speed of 5 meters per second. At a certain point Sacha overtakes Bruno. If four minute afterward, Sacha stops and waits for Bruno to reach him, then how many seconds does he have to wait?
The area of a parallelogram is 72 sq m and its base is 12m . Then the length of the height is?
A can run 2 km distance in 2 min 20 seconds, while B can run this distance in 3 min 5 sec. . By how much distance can A beat B?
To save money, Arkadelphia Cream Cheese will reduce each dimension of its rectangular box container (which is entirely full of cream cheese) by 10%, and reduce the price it charges its consumers by 10% as well. By what percentage does this increase the price-per-cubic-inch that each consumer will pay for cream cheese?
Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 20, how many more dollars, in terms of x, will it cost per person?
A certain club has 10 members, including Harry. One of the 10 members is to be chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Harry will be either the member chosen to be the president or the member chosen to be the treasurer?
A parking garage rents parking spaces for $12 per week or $30 per month. How much does a person save in a year by renting by the month rather than by the week?
A straight line in the xy- plane has a slope of 4 and a y-intercept of 4. On this line, what is the x-coordinate of the point whose y-coordinate is 800 ?
Simplify: 5005-5000+10
Amy’s retirement portfolio contains only stocks and bonds. At the beginning of 2016, her portfolio had an allocation of 60% stocks and 40% bonds. Over the course of 2016, the total value of her portfolio increased by 8%, with the value of her stock holdings increasing by 10%. By what percent did the value of her bond holdings increase?
Two trains of length 170 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. In how much time will the trains cross each other?
Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 13 different shirts, 10 different pairs of jeans, and 8 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?
A train 390 metres long is moving at a speed of 25 kmph. It will cross a man coming from the opposite direction at a speed of 2 km per hour in :
How many bricks, each measuring 25cm*11.25cm*6cm, will be needed to build a wall 8m*6m*22.5m
In what time will a railway train 80 m long moving at the rate of 36 kmph pass a telegraph post on its way?
In an electric circuit, two resistors with resistances x and y are connected in parallel. If R is the combined resistance of these two resistors, then the reciprocal of R is equal to the sum of the reciprocals of x and y. What is R if x is 4 Ohms and y is 5 Ohms?
Which of the following number is divisible by 24 ?
In the arithmetic sequence t1, t2, t3, ..., tn, t1=23 and tn= tn-1 - 3 for each n > 1. What is the value of n when tn = 8?
If equal numbers of people are born on each day, find the approximate percentage of the people whose birthday will fall on 29thFebruary.(if we are to consider people born in 20thcentury and assuming no deaths).
I know a number which when multiplied by multiple of 9 i.e 9 18 27 36 45 ... the output consist of number containing only one digit. Can you identify the number ?
What is the maximum value of vx - yz. If the value of v,x,y,z have to be chosen from the set A where A(-3,-2,-1,0,1,2,3)
In terms of percentage profit, which among following the best transaction
Excluding stoppages, the speed of a train is 35 kmph and including stoppages it is 22 kmph. Of how many minutes does the train stop per hour?
The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is:
What will be the difference between simple interest and compound interest @10% per annum on a sum of Rs. 1000 after 4 years?
A man can row his boat with the stream at 19 km/h and against the stream in 11 km/h. The man's rate is?
Set A consists of 19 elements. The average of set A is L. If a new element is added to the set and the average grows by K, what is the value of the new element?
Money invested at x%, compounded annually, triples in value in approximately every 112/x years. If $1800 is invested at a rate of 8%, compounded annually, what will be its approximate worth in 28 years?
If 3 pounds of dried apricots that cost x dollars per pound are mixed with 3 pounds of prunes that cost y dollars per pound, what is the cost, in dollars, per pound of the mixture?
The weight of every type A widget is the same, the weight of every type B widget is the same, and the weight of every type C widget is the same. If the weight of 7 type A widgets is equal to the weight of 2 type B widgets, and the weight of 4 type B widgets is equal to the weight of 7 type C widgets. What is the ratio of the total weight of 1 type A widget and 1 type B widget, to the total weight of 1 type B widget and 1 type C widget?
The product of two positive integers is 675 and their difference is 2. What is the bigger number?
What is the area of square field whose side of length 15 m?
A and B are two partially filled buckets of water. If 5 liters are transferred from A to B, then A would contain one-third of the amount of water in B. Alternatively, if 4 liters are transferred from B to A, B would contain one-half of the amount of water in A. Bucket A contains how many liters of water?
Average of 10 matches is 32, How many runs one should should score to increase his average by 5 runs.
Three boys, two girls, and two women are to be seated on a bench. If one specific boy must be seated on one of the end seats, and one specific girl must me seated exactly in the middle, find the number of possible arrangements.
In a race of 200 m, A can beat B by 21 m and C by 15 m. In a race of 425 m, C will beat B by ?
Positive Integer A gives the remainder of 12 when divided by another positive Integer B. If A/B = 47.24, what is the value of B?
How many positive integers less than 1000 are multiples of 5 but NOT of 4 or 7?
If k^3 is divisible by 168, what is the least possible value of integer k?
At a certain supplier, a machine of type A costs $22,000 and a machine of type B costs $50,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?
The average age of father and his two sons is 24 Years. Five years ago, the average age of the two sons was 15 Years. If the difference between the ages of the two sons is four years, what is the present age of the father?
What is the cost of leveling the field in the form of parallelogram at the rate of Rs.30/10 sq.metre, whose base & perpendicular distance from the other side being 64m & 74m respectively?
Due to construction, the speed limit along an 9-mile section of highway is reduced from 55 miles per hour to 20 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
Find the odd man out 2, 5, 11, 23, 48, 95
If 0 < a < 1, what is the median of the values a, x^-1, a^2, a^1/2 and a^3?
Rahim and his uncle differ in their ages by 30 years. After 7 years, if the sum of their ages is 66, what will be the age of the uncle ?
4 dice are thrown simultaneously on the board. Find the probability show the same face.
Find the value of x if the mean of the series 245,564,458,125,36,x is 250
If 6 is one solution of the equation x^2 + 3x + k = 10, where k is a constant, what is the other solution?
The volume of a cube is 3375 cc. Find its surface.
How many liters of water must be evaporated from 50 liters of a 3-percent sugar solution to get a 2-percent solution?
A certain company retirement plan has arule of 70provision that allows an employee to retire when the employee's age plus years of employment with the company total at least 70. In what year could a female employee hired in 1990 on her 32nd birthday first be eligible to retire under this provision?
The concentration of spirit in three different vessels A, B and C are 45%, 30% and 12% respectively. If 4 litres from vessel A, 5 litres from vessel B and 6 litres from vessel C are mixed, find the concentration of spirit in the resultant solution.
Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hr and 40 km/hr respectively. By the time they meet, the first train has traveled 100 km more than the second. The distance between P and Q is?
In a Pvt Company 15 staffs are working. Salary for 10 Staffs @ 15000/- and 5 staffs @ 9000/- per month. Owner deducted amount of 15 leaves from every one. Then how much amount will be given in total for One month?
What is the length of the longest pole which can be kept in a room 10 m long, 4 m broad and 3 m high?
The area of a triangle will be when a = 1m, b = 2m, c = 3m, a, b, c being lengths of respective sides.
The set S consists of 5 numbers: {1,2,3,4,5}. If all possible subsets including the null set are created and one subset is chosen at random, what is the probability that the subset has 2 as its largest number?
Andy solves problems 80 to 125 inclusive in a Math exercise. How many problems does he solve?
Kamal was 4 times as old as his son 8 years ago. After 8 years, Kamal will be twice as old as his son. Find out the present age of Kamal.
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 175 m length?
Pipe A can fill a tank in 4 hours. Due to a leak at the bottom, it takes 8 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Train A travelling at 63 kmph takes 27 to sec to cross Train B when travelling in opposite direction whereas it takes 162 seconds to overtake it when travelling in the same direction. If the length of train B is 500 meters, find the length of Train A.
What is the total number of integers between 200 and 500 that are divisible by 25?
If Rs.400 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum?
A car runs 10,000 miles using 5 tyres interchangeably. to have equal worn out by all tyres,how many miles each tyre should have run?
The salaries of A, B, C are in the ratio 2:3:5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries?
600 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?
If 1 = 5 2 = 10 3 = 15 4 = 20 5 = 25 6 = 30 Then 25 = ? Hint: Its a logic Riddle not a mathematical riddle
Robert is traveling from one end of a forest to the other. In order to find his way back, he is leaving morsels of bread in the following pattern: 2 morsels of milk, 3 morsels of white, and 1 morsel of rye. The pattern repeats after he leaves the morsel of rye. If Robert drops 2,000 morsels of bread, what are the last 3 morsels of bread that he drops?
Over a three-week period, the price of an ounce of gold increased by 25% in the first week, decreased by 40% in the following week, and increased by 20% 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?
Ashok and Pyarelal invested money together in a business and share a capital of Ashok is 1/9 of that of Pyarelal.if the incur a loss of Rs 2000 then loss of Pyarelal?
2,300 has how many positive divisors?
Every student at Larcy School is in at least one of three clubs: horseback riding, embroidery, and country dancing, which are the only clubs in existence at the school. The ratio of the number of students in exactly two clubs to the number of students in exactly one club is 4:3, while the ratio of the number of students in exactly two clubs to the number of students in at least two clubs is 5:7. Which of the following could be the total number of students at Larcy School?
If x = 3p, where p is a prime number greater than 2, how many different positive even divisors does x have, including x?
Three bells commence tolling together and toll at intervals of 2, 4, 6 seconds respectively. In 10 minutes, how many times do they toll together ?
One-third of Ramani’s savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has 150000 as total savings, how much he saved in Public Provident Fund?
Stock / Number of shares V ------------ 68 W ---------- 112 X ------------ 56 Y ------------ 94 Z ------------ 45 The table shows the number of shares of each of the 5 stocks owned by Mr Sami. If Mr. Sami was to sell 20 shares of Stock X and buy 27 shares of stock Y, what would be the increase in the range of the numbers of shares of the 5 stocks owned by Mr. Sami?
Swetha takes a trip and drives 8 hours from Town A to Town C at a rate of 40 miles per hour. On her way back, Swetha drives 30 miles per hour and stops in Town Y which is midway between Town A and Town C. How many hours does it take Swetha to drive from Town C to Town B?
The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 22,000 is made?
In each term of a sequence, 12 is added to get the next term. If the first term is 5, what is the forty-fifth term?
A two digit number is 18 less than the sum of the squares of its digits. How many such numbers are there?
The average age of a class of 32 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
City A and City B are 140 miles apart. Train C departs City A, heading towards City B, at 4:00 and travels at 40 miles per hour. Train D departs City B, heading towards City A, at 5:30 and travels at 20 miles per hour. The trains travel on parallel tracks. At what time do the two trains meet?
A and B can do a piece of work in 6 days, B and C in 8 days, C and A in 12 days. How long will C take to do it?
If x^2 + 9/x^2 = 10, what is the value of x - 3/x
A man sells a horse for Rs.2000 and loss something, if he had sold it for Rs.3100, his gain would have been double the former gain. Find the cost price of the horse?
When asked what the time is,a person answered that the amount of time left is 3/5 of the time already completed.what is the time.
Four people need to cross a dark river at night. * They have only one torch and the river is too risky to cross without the torch. * If all people cross simultaneously then torch light wont be sufficient. * Speed of each person of crossing the river is different.cross time for each person is 1 min, 2 minutes, 7 minutes and 10 minutes. What is the shortest time needed for all four of them to cross the river ?
Dana borrows 6000 pounds annually for her college education. If Dana gives her parents 2% of that amount back each month, how much will she still owe her parents after three years of college?