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big_math_dataset

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A gambler rolls three fair six-sided dice. What is the probability that two of the dice show the same number, but the third shows a different number?
Six computers, each working at the same constant rate, together can process a certain amount of data in 15 days. How many additional computers, each working at the same constant rate, will be needed to process the same amount of data in 5 days?
In a business, three friends X,Y and Z shared the profit in the ratio 5:7:8. X invested his amount for 14 months, Y for 8 months and Z for 7 months respectively. Find the ratio of their investments?
In Town X, 90 percent of the population are employed, and 20 percent of the population are employed males. What percent of the employed people in Town X are females?
The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?
Insert the missing number 3, -9, 27, -81, 243, (....)
A certain mixture of nuts consists of 5 parts almonds to 1 parts walnuts, by weight. What is the number of pounds of almonds in 140 pounds of the mixture ?
In a can, there is a mixture of milk and water in the ratio 8 : 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 12 : 5. Find the capacity of the can?
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C
For how many integers n is 1^n+3 = (n+3)^1?
one men and three women working 7 hours a day finish a work in 5 days. Four men and four women working 3 hours a day complete the work in 7 days. The number of days in which only 7 men working 4 hours a day will finish the work is?
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
One woman and one man can build a wall together in one hour, but the woman would need the help of two girls in order to complete the same job in the same amount of time. If one man and one girl worked together, it would take them two hours to build the wall. Assuming that rates for men, women and girls remain constant,...
A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is 3:2, and the ratio of soap to salt is four times this ratio. The solution is poured into an open container, and after some time, the ratio of water to soap in the open container is quartered by water evaporation. At that time, ...
Find the cost of fencing around a circular field of diameter 28 m at the rate of Rs.1.50 a meter?
A = {2,0, 1, -3, 6, -8} B = {-1, 2, -4, 7,-6,20} If a is a number that is randomly selected from Set A, and b is a number that is randomly selected from Set B, what is the probability that ab > 0?
When a=x+(3/x) and b=x-(3/x), (2^a^2)/(2^b^2)=?
A person travels equal distances with speeds of 5 km/hr, 6 km/hr and 7 km/hr and takes a total time of 47 minutes. The total distance is?
The arithmetic mean of set G is zero. If H = {-2.22; -1.96; -1.68; 1.62; 1.94; 2.16} is the subset of G consisting of all those elements in G which are more than two but less than three standard deviations away from the arithmetic mean of G, what could be equal to the standard deviation of G?
A girl walking at the rate of 9 Km per hour crosses a square field diagonally in 12 seconds. The area of the field is:
Of the 200 candidates who were interviewed for a position at a call center, 100 had a two-wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both, a two-wheeler and a credit card, 30 had both, a credit card and a mobile phone and 60 had both, a two wheeler and mobile phone and 10 had all three. Ho...
The probability that event M will not occur is 0.8 and the probability that event R will not occur is 0.8. If events M and R cannot both occur, which of the following is the probability that either event M or event R will occur?
Simplify: (i) 12.05*5.4+0.6
How many different ways can 2 students be seated in a row of 6 desks, so that there is always at least one empty desk between the students?
If a 3-member subcommittee is to be formed from a certain 5-member committee, how many different such subcommittee are possible?
A train 400 m long passed a pole in 40 sec. How long will it take to pass a platform 600 m long?
In a certain parking lot, 2% of the cars are towed for parking illegally. However 90% of the cars which are parked illegally are not towed. What percentage of cars in the parking lot are parked illegally?
A bulldog received 1,600 votes in a bulldog competition, giving him 20 percent of the votes. What percent of the remaining votes would he have needed to receive in order to win 34 percent of the total votes?
There is a sequence ni such, in which i is a positive integer, ni+1=2ni. If n1=1, n2=2, n3=4, n4=8, what is the scope including n51?
An outlet pipe can empty 2/3 of a cistern in 16 minutes. In 4 minutes, what part of the cistern will be emptied?
In a friendship gang Andrew has 8 gang, in how many ways can he invite one ormore of the gang to his house?
By selling 12 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%?
4, 6, 12, 14, 28, 30, ?
At present, the ratio between the ages of Arun and Deepak is 4:2. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present?
The remainder when A=1+3+3^2+3^3+..........+3^200 is divided 13.
On Monday morning, Chris receives tickets to a baseball game that will be played at 7pm on the next evening that it does not rain. However, Chris is only in town until Wednesday morning, at which point he must fly to another city. If there is a 80% chance of rain each of the next two evenings, what is the probability t...
If the sum of a number and its square is 132, what is the number?
If # is an operation which results in adding the digits of integer until a single digit is left, what is the probability K that a number picked up in first 90 positive integers will have the result of # as an odd digit ?
Marcella has 26 pairs of shoes. If she loses 9 individual shoes, what is the greatest number of matching pairs she could have left?
Every day Daniel drives 60 miles back from work. On Sunday, Daniel drove all the way back from work at a constant speed of x miles per hour. On Monday, Daniel drove the first 32 miles back from work at (2x) miles per hour, and the rest of the way at (x/2) miles per hour. The time it took Daniel to drive back from work ...
There are 600 boys in a hostel. Each plays either hockey or football or both. If 75% play hockey and 65% play football, how many play both?
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6800?
Which of the following fractions has a decimal equivalent that is a terminating decimal?
Sophia finished 2/3 of a book. She calculated that she finished 30 more pages than she has yet to read. How long is her book?
A train 510 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
What is the next number of the following sequence 12, 36, 80, 150,.... ?
What is the sum of the greatest common factor and the lowest common multiple of 36 and 56?
Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:
Which greatest possible length can be used to measure exactly 15 meter 75 cm, 11 meter 25 cm and 7 meter 65 cm
The average of 2,7,6 and x is 5 and the average of 18,1,6,x and y is 10. What is the value of y?
The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. what is the age of the youngest child ?
A can do work in 9 days, B can do work in 18 days. In how many days they will complete the work together.
The largest five digit number which is a perfect cube, is:
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train?
If A lends Rs.3500 to B at 10% per annum and B lends the same sum to C at 11% per annum then the gain of B in a period of 3 years is?
In a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates (0, 3.5), (12, 0), (0, -3.5), (-12, 0)?
In an election, candidate Smith won 52% of the total vote in Counties A and D. He won 61% of the vote in County A. If the ratio of people who voted in County A to County D is 3:1, what percent of the vote did candidate Smith win in County D ?
Two pipes can fill a tank in 24 min and 32 min respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min ?
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:
How many seconds will a 700 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
A local restaurant recently renovated its dining space, purchasing new tables and chairs to use in addition to the original tables and chairs. The new tables each seat six customers, while the original tables each seat four customers. Altogether, the restaurant now has 40 tables and is capable of seating 212 customers....
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
One filter decreases the concentration of harmful substances in water by half. If water that contains less than 0.1 percent of harmful substances is considered clean, how many filters are required to clean 200 liters of water containing 0.5 liters of harmful substances ?
The function f is defined for all positive integers m by the following rule. f(m) is the number of positive integers each of which is less than m and has no positive factor in common with m other than 1. If p is any prime, number then f(p)=
If X is 30% greater than Y, Z is 25% smaller than how much percent is X greater than Z?
What is the smallest integer w greater than 1 that leaves a remainder of 1 when divided by any of the integers 6, 8, and 10?
Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
If 0 < x < 7 and 0 < y < 9, then the lowest possible value for xy is
A taxi company charges $1.15 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with $4.90?
A certain essay consists of 15 paragraphs. Each paragraph contains at least 130 words but not more than 140 words. Which of the following could be the total number of words in the essay?
A school has received 60% of the amount it needs for a new building by receiving a donation of $400 each from people already solicited. People already solicited represent 40% of the people from whom the school will solicit donations. How much average contribution is requited from the remaining targeted people to comple...
At what time between 4 and 5 o'clock the hands are in opposite direction?
A certain game pays players in tokens, each of which is worth either m points or n points, where m and n are different positive integers whose greatest common factor is 1. In terms of m and n, what is the greatest possible sum, in points, that can be paid out with only one unique combination of these tokens? (For examp...
In how many different number of ways 5 men and 4 women can sit on a shopa which can accommodate persons?
Among the members of the Malmo family, there are three times as many members who do not wear glasses as members who do. Half of the Malmo family members have blue eyes, and 4/5 of the family members who have blue eyes do not wear glasses. What percent of the Malmo family members wear glasses and do not have blue eyes?
A boy wants to make cuboids of dimension 5m, 6m and 7m from small cubes of .03 m3. Later he realized he can make same cuboids by making it hollow. Then it takes some cubes less. What is the number of the cubes to be removed?
A fish tank contains orange fish and silver fish. After k more orange fish and 2k more silver fish are added, the probability of choosing an orange fish at random is 1313 . What was the probability of choosing a silver fish before any more fish were added?
A can do 1/4th part of the work in 10 days, B can do 40% of the work in 40 days and C can do 1/3rd of the work in 13 days. Who will complete the work first?
Find the length of the wire required to go 15 times round a square field containing 69696 m^2.
Roses can be purchased individually for $5.30, one dozen for $36, or two dozen for $50. What is the greatest number of roses that can be purchased for $680?
If x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $65. If $2,000 is the total amount invested, how much is invested at 8 percent?
62 small identical cubes are used to form a large cube. How many more cubes are needed to add one top layer of small cube all over the surface of the large cube ?
If a book is sold at 9% profit instead of 9% loss, it would have brought Rs 9 more. Find out the cost price of the book
Divide $600 among C,D in the ratio 9:6. How many $ that D get?
What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?
Set A consists of all the prime numbers between 10 and 25. What is the range of set A?
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 6 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
In a race of 300 m A beats B by 15 m and C by 9 m. In a race of 450 m C will beat B by
The average of 10numbers is 60. Out of 10numbers the average of first 6no. is 68, and last 6numbers is 75 then find 7th number?
A painter intends to mixed two jars of paint to create a new color. He chooses one paint jar randomly from a display containing 2 red and 2 blue samples, and a second jar is chosen at random from a different display containing 4 red and 2 blue samples. If he plans on mixing the two chosen jars together, what is the pro...
A ship 450 m long is running at a speed of 24 km/hr. In what time will it pass a bridge 900 m long?
At 3:00 pm, a car has driven 30 miles east. It will continue to drive east at 0.5 minutes per mile and then turn around and drive at 0.5 minutes per mile back to its original starting point. How far can it drive before turning around in order to arrive back to its original starting point by 3:40 pm?
which one is odd? 4377 3954 9860 8454 9831
Evaluate 2.5 / .0005
Rodrick mixes a martini that has a volume of 'n' ounces having 40% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must he add?
A certain city with a population of 192,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district What is the minimum possible population that the least populated district could have ?
A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $1116 in total compensation...
A dog chases a cat 3 hours after the cat runs. dog takes 6 hours to reach the cat. If the average speed of the dog is 72 kmph, what s the average speed of the cat?
In one hour, a boat goes 11 km along the stream and 5 km against the stream. The speed of the boat in still water in ( km/hr) is
The H.C.F. of two numbers is 25 and the other two factors of their L.C.M. are 14 and 16. The larger of the two numbers is