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big_math_dataset

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Distance between two stations A and B is 1108 km. A train covers the journey from A to B at 84 km per hour and returns back to A with a uniform speed of 56km per hour. Find the average speed of train during the whole journey.
If A:B = 2:3, B:C = 4:5 and C:D = 6:7, then find the value of A:B:C:D
A telephone number contains 10 digit, including a 3-digit area code. Bob remembers the area code and the next 5 digits of the number. He also remembers that the remaining digits are not 0, 1, 2, 6, or 7. If Bob tries to find the number by guessing the remaining digits at random, the probability that he will be able to ...
There are 10 teams in a soccer league and each team plays each of the other teams once. How many games will be played in total?
A train running at 25 km/hr takes 60 seconds to pass a platform. Next, it takes 12 seconds to pass a man walking at 5 km/hr in the same direction. Find the length of the train and that of the platform.
50 square stone slabs of equal size were needed to cover a floor area of 98 sq.m. Find the length of each stone slab?
In a 100 m race, A runs at 8km per hour. If A gives B a start of 5 m and still him by 15 seconds, what is the speed of B ?
Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is ?
What is the difference between the local values of 3 in the number 53403?
The average marks of a Suresh in 10 papers are 80. If the highest and the lowest scores are not considered, the average is 81. If his highest score is 92, find the lowest?
If a number between 0 and 1/2 is selected at random, which of the following will the number most likely be between
X and Y invest Rs.21000 and Rs.15000 respectively in a business. At the end of the year, they make a profit of Rs.25500. What is the share of X in the profit?
Bill made a profit of 10% by selling a product. If he had purchased that product for 10% less and sold it at a profit of 30%, he would have received $ 70 more. What was his original selling price?
How many 6 digits no can be formed using 0,1,2,3,5,7 without repeatation?
John had a stock of 1200 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold?
When Professor Wang looked at the rosters for this term's classes, she saw that the roster for her economics class (E) had 20 names, the roster for her marketing class (M) had 28, and the roster for her statistics class (S) had 18. When she compared the rosters, she saw that E and M had 9 names in common, E and S had 7...
The combined salaries of three brothers is $270,000. Mr. Big earns twice what Mr. Small earns, and Mr. Middle earns 1 1/2 times what Mr. Small earns. What is the smallest salary of the three brothers?
If Jake loses 29 pounds, he will weigh twice as much as his sister. Together they now weigh 99 pounds. What is Jake's present weight, in pounds?
The value of x + x(xx) when x = 1 is:
If a student loses 6 kilograms, he will weigh twice as much as his sister. Together they now weigh 132 kilograms. What is the student's present weight in kilograms?
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 30%?
A sum of Rs.312 was divided among 100 boys and girls in such a way that each boy gets Rs.3.60 and each girl Rs.2.40.
How many integers are divisible by 3 between 20! and 20! + 20 inclusive?
The average age 8 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
If an object travels 200 feet in 2 seconds, what is the object's approximate speed in miles per hour? (Note: 1 mile = 5280 feet)
A part of certain sum of money is invested at 9% per annum and the rest at 12% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
In a throw of dice what is the probability of geƫng number greater than 3
A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs.1406?
The value of x + x(xx) when x = 4 is:
A man traveled a total distance of 1800 km. He traveled one-third of the whole trip by plane and the distance traveled by train is two-thirds of the distance traveled by bus. If he traveled by train, plane and bus, how many kilometers did he travel by bus?
Find the average of first 40 natural numbers.
The lenght of a room is 5.5 m and width is 4 m. Find the cost of paving the floor by slabs at the rate of Rs. 950 per sq. metre.
Employees of a certain company are each to receive a unique 8-digit identification code consisting of the digits 0, 1, 2, 3, 4, 5, 6, and 7 such that no digit is used more than once in any given code. In valid codes, the second digit in the code is exactly twice the first digit. How many valid codes are there?
A train 140m long is running at 60kmph. In how much time will it pass a platform 260m long?
If (2^13)(25^S) = 5(10^m) what is the value of m ?
A reading list for a certain course consists of 10 books, of which 5 are poems and the rest are novels. Each student is required to read a selection of 4 books from the list, including at most 2 novels. How many selections of 4 books satisfy the requirements?
A thief steals at a car at 2.30 p.m. and drives it at 40 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 km/hr. When will he overtake the thief?
Carl drove from his home to the beach at an average speed of 80 kilometers per hour and returned home by the same route at an average speed of 70 kilometers per hour. If the trip home took 1/2 hour longer than the trip to the beach, how many kilometers l did Carl drive each way?
How many different letter arrangements can be made from the letters of the word RECOVER?
In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?
Mr. Jones sold two pipes at $2.50 each. Based on the cost, his profit one was 30% and his loss on the other was 20%. On the sale of the pipes. Find the amount of his profit or loss?
Parents spend an estimated $200 at the fair every year, and the fair typically wants to reach a goal of bringing profits at $150,000. To achieve that goal, how many parents need to be attending the fair for the 5 days it is open? The amount of parents need to be rounded to whole numbers.
The average monthly salary of 8 workers and one supervisor in a factory was 430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.Whenthesupervisor,whosesalarywas430. When the supervisor, whose salary was 870 per month, retired, a new person was appoin...
In one hour, a boat goes 19 km along the stream and 5 km against the stream. The speed of the boat in still water (in km/hr) is:
A student took 6 courses last year and received an average (arithmetic mean) grade of 100 points. The year before, the student took 5 courses and received an average grade of 40 points. To the nearest tenth of a point, what was the student’s average grade for the entire two-year period?
The banker’s discount on Rs. 1600 at 12% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is :
Every digit of a number written in binary is either 0 or 1. To translate a number from binary, multiply the nth digit (reading from right to left) by 2^(n-1) What is the largest prime number (written in binary) that is a factor of both 110000 and 1100000 ?
Last year 26 members of a certain club traveled to England, 26 members traveled to France, and 30 members traveled to Italy. Last year no members of the club traveled to both England and France, 6 members traveled to both England and Italy, and 12 members traveled to both France and Italy. How many members of the club ...
Each term of a certain sequence is 3 less than the previous term. The first term of this sequence is 23. If the sum of the first n terms of the sequence is n, what is the value of positive integer n?
A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
If a company allocates 15 percent of its budget to advertising, 10 percent to capital improvements, and 60 percent to salaries, what fraction of its budget remains for other allocations?
If a and d are both integers, a>d, and -3c>19, then the largest value of d would be?
A retailer marks her goods in such a way that the profit made by selling 50 articles is equal to the selling price of 20 articles. What is the percentage of profit made by the retailer?
Mr X, a businessman, had income in the year 1995 such that he earned a profit of 20% on his investment in the business. In the year 1996 his investment was less by 4000 but still had the same income (Income = Investment + Profit) as that in 1995. Thus the per cent profit earned in 1996 increased by 6%. What was his inv...
The Coen family consists of a father, a mother, two children and a dog. A photographer is about to take the family's picture. How many different arrangements (of standing in a row) does the photographer have, if it is known that the Mother insists of standing by her younger Child, as the song says?
if 8 people take an hour to complete a piece of work, then how long should 16 people will take to complete the same piece of work?
.04 × ? = .000016.
A's speed is 20/13 times that of B. If A and B run a race, what part of the length of the race should A give B as a head start, so that B beats A by 25% of the length of the race?
The true discount on a bill of Rs. 540 is Rs. 90. The banker's discount is:
What will be the percentage increase in the area of the cube's surface if each of the cube's edges grows by 40%?
A, B and C can do a piece of work in 4 days, 8 days and 20 days respectively. How long will they taken, if all the three work together?
A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 20 as remainder. Find the no. is?
The total age of A and B is 14 years more than the total age of B and C. C is how many years younger than A ?
When the integer n is divided by 17, the quotient is x and the remainder is 2. When n is divided by 23, the quotient is y and the remainder is 14. Which of the following is true?
If 625^(-x) +5^(-2x) + 5^(-4x) = 15, what is the value of x?
The average number of shirts with Salman, Ambani and Dalmiya is 60, if all of them reached a shopping mall in Delhi and purchased 3 shirts each of them then average number of shirt each of them now has
Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. What are the marks obtained by them?
If the average (arithmetic mean) of five consecutive negative integers is 2k – 1, what is the difference D between the greatest and least of the five integers?
3 no.'s A, B & C are in the ratio of 12:15:25. If sum of these no.'s is 312, find the ratio between the difference of B & A & the difference of C & B.
A man sells 45 lemons for Rs 40 and loses 20%. At how much price should he sell 24 lemons to the next customer to make a 20% profit?
three men invested sum. and their ratio is 5:7:6. profit is 1800.then b's share
A group of people participate in some curriculum, 30 of them practice Yoga, 20 study cooking, 15 study weaving, 5 of them study cooking only, 8 of them study both the cooking and yoga, 5 of them participate all curriculums. How many people study both cooking and weaving?
Three candidates contested an election and received 3834 votes, 7606 votes, and 14560 votes respectively. What percentage of the total votes did the winning candidate receive?
(69 - 14 x 3 + 2) / [ 9 x 5 - (5)2] = ?
What is the lowest positive integer that is divisible by each of the integers 1 through 7, inclusive?
In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
Let Q represent a set of five distinct prime numbers. If the sum of the numbers in Q is even and x is a member of Q, then what is the least possible value that x can be?
A boat crossed a lake from North to South at the speed of 6 km/h, entered a river and covered twice as much distance going upstream at 3 km/h. It then turned around and stopped at the south shore of the lake. If it averaged 5 km/h that day, what was its approximate downstream speed?
Of all the students in a certain dormitory, 1/2 are first-year students and the rest are second-year students. If 4/5 of the first-year students have not declared a major and if the fraction of second-year students who have declared a major is 4 times the fraction of first-year students who have declared a major, what ...
If m and n are both odd prime numbers andm < n, then how many different positive integer factors does2mnhave?
Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
Two trains 190 m and 160 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?
A is a working partner and B is a sleeping partner in the business. A puts in Rs.3500 and B Rs.1500, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?
if p/q=3/4 then3p+7q=?
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
If (x^2 + x - 8) ≤ x + 1, then x could be represented by which of the following?
If r and h are two positive integers and r/h = 1.60, then r can equal which one of the following?
A bag contains 8 red, 7 blue and 6 green dress. If one dress is picked up randomly then ewhat is the probability that it is neither red nor green?
A plant manager must assign 12 new workers to one of five shifts. She needs a first, second, and third shift, and two alternate shifts. Each of the shifts will receive 3 new workers. How many different ways can she assign the new workers?
In a 1000 m race, A beats B by 200 meters or 25 seconds. Find the speed of B?
Mary’s annual income is $15,000 and John’s annual income is $18,000. By how much must Mary’s annual income increase so that it constitutes 55% of Mary and John’s combined income?
If a sum of money borrowed at 5 percent/annum SI amounts to Rs.1020 in 4 yrs, then the sum of money borrowed is?
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in?
If x, y, and z are 3 different prime numbers, which of the following CANNOT be a multiple of any of x, y, and z?
A rectangular tiled patio is composed of 60 square tiles. The rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. After the change in layout, the patio will still have 60 tiles, and it will still be rectangular. How many rows are in the tile patio before the cha...
The average of first five prime numbers greater than 61 is?
The average price of three items of furniture is Rs. 15000. If their prices are in the ratio 2:4:6, the price of the cheapest item is?
Three partners A,B,C start a business.Twice A’s capital is equal to thirce B’s capital and B’s capital is four times C’s capital.Out of a total profit of Rs.16,500 at the end of the year,B’s share is :
if N is a prime number bigger than 5. Which of the following expressions must be even?
Richard has to paint a mural with seven horizontal stripes. He only has enough paint for four brown stripes, four green stripes, four pink stripes, four red stripes, four blue stripes, four white stripes, four black stripes, and four yellow stripes. If his patron wants at most two different colors in the mural, how man...