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big_math_dataset

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A water tank is one-fifth full.Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes.If both the pipes are open,how long will it take to empty or fill the tank completely?
The 4 sticks in a complete bag of Pick-Up Sticks are all straight-line segments of negligible width, but each has a different length: 1 inch, 2 inches, 3 inches, and 4 inches, respectively. If Tommy picks a stick at random from each of 3 different complete bags of Pick-Up Sticks, what is the probability A that Tommy CANNOT form a triangle from the 3 sticks?
The average of marks obtained by 120 boys was 40. If the average of marks of passed boys was 39 and that of failed boys was 15, the number of boys who passed the examination is?
(A% of 2B + B% of A) is equal to ?
If 18 is 15 percent of 30 percent of a certain number, what is the number?
if x+y+z =1. then xy+yz+zx is
If HARD is coded as 1357 and SOFT is coded as 2468 what will 21448 stand for?
A circular rim 14 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. If the smaller rim makes x revolutions per second, how many revolutions per minute does the larger rim makes in terms of x ?
A veterinarian surveys 26 of his patrons.He discovers that 14 have dogs, 10 have cats, and 5 have fish.Four have dogs and cats, 3 have dogs and fish, and one has a cat and fish.If no one has all three kinds of pets, how many patrons have none of these pets?
At a meeting of the 9 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 9 Chiefs of Staff be seated around a circular table?
Find the odd man out. 1, 9, 16, 51, 121, 169, 225
A girl scout was selling boxes of cookies. In a month, she sold both boxes of chocolate chip cookies ($1.25 each) and boxes of plain cookies ($0.75 each). Altogether, she sold 1,585 boxes for a combined value of $1,586.25. How many boxes of plain cookies did she sell?
How long does a train 100 m long traveling at 60 kmph takes to cross another train of 170 m in length has a speed of 40 kmph?
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 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?
The area of a triangle is with base 4m and height 5m?
The ratio of number of boys and girls in a school is 2:5. If there are 420 students in the school, find the number of girls in the school?
If x is to be chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {6, 7}, what is the probability that xy will be even?
What is the probability that when a hand of 6 cards is drawn from a well shuffled deck of 52 cards, It contains 2 Queen?
Jake wants to invite 9 friends to his 8th birthday party. Each invitation requires 2 stamps to mail, costing 12 cents each. How much will Jake have to spend on stamps to send invitations to his 9 friends?
A cycle is bought for Rs.900 and sold for Rs.1080, find the gain percent?
Find the angle between the hour and the minute hand of a clock when the time is 3.25.
The cost price of 21 articles is equal to selling price of 18 articles.find gain or loss percentage.
X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work?
The number of arrangements that can be made with the letters of the word PETER so that the vowels occupy the even places?
Jerry went to a shop and bought things worth Rs. 45, out of which 30 % went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A box contains 10 tablets of medicine A and 16 tablets of medicine B. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.
The number 189 is equal to the sum of the cubes of two integers. What is the product of those integers?
Two trains are traveling on parallel tracks in the same direction. The faster train travels at 130 miles per hour, while the slower train travels at 100 miles per hour. At 2 o’clock the faster train is 25 miles behind the slower one. How far apart are the two trains at 5 o'clock?
A shipment of 8 TV sets contains 6 black and white sets and 2 color sets. If 2 TV sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set?
For positive integers x and z, which of the following can be written as z^2?
Two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is?
5 nouns, 5 verbs and 3 adjectives are written on blackboard.we can form sentence by choosing 1 from each available set without caring it makes sense or not.what is the number of ways of doing this??
The factorial expression 25!/15! is not divisible by which of the following integers?
0.002 x 0.6 = ?
Kate and her boyfriend Ben, completed the painting of their new apartment together in 6 days.If they were to work separately, how long will it take each of them to complete it, if Ben can complete the painting 5 days earlier than Kate.
A man walks at a speed of 3 km/hr and runs at a speed of 6 km/hr. How much time will the man require to cover a distance of 12 km, if he completes half of the distance, i.e., (6) km on foot and the other half by running?
Josh spends a total of $5.00 buying N items in the convenience store. If each of the items is either a 5 cents single bubblegum, or a 50 cents bubblegum pack, then N may be which of the following?
If a certain number is divided by 11, the quotient, dividend, and divisor, added together, will amount to 71. What is the number?
Three small cruise ships, each carrying 6 passengers, will dock tomorrow. One ship will dock at Port A, another at Port B, and the third at Port C. At Port A, two passengers will be selected at random and each winner will receive one gift certificate worth $50. At Port B, one passenger will be selected at random to receive a gift certificate worth $35, and at Port C, one passenger will be selected at random to receive a gift certificate worth $25. How many different ways can the gift certificates be given out?
The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8500. If his salary for the month of May is Rs.6500, find his salary for the month of January?
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?
A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996?
How many numbers between 200 and 600 are divisible by 4,5 and 6?
David bought 4 toys with the average cost of $8. If David also buys the fifth toy with the price of $ 10, what is the average (arithmetic mean) price of those 5 toys?
Wanda baked 168 cookies, packaged them in boxes of 12, and sold each box for $1.20.How many boxes of 12 can be packaged if there are 168 cookies?What was the total amount of money that Wanda made for all of the boxes sold?
A work can be finished in 16 days by twenty women. The same work can be finished in fifteen days by sixteen men. The ratio between the capacity of a man and a woman is
The diagonal of a rhombus are 40 m and 30 m. Its area is:
If C.P. of 27 books is equal to S.P of 30 books , then your gain or loss is ?
Of the five numbers in a sequence, the first term is 20,000, and each of the following terms is 20% of the previous term. What is the value range of the five numbers?
What quantity of water should taken out to concentrate 24 liters of 40% acidic liquid to 60% acidic liquid?
Jane makes toy bears. When she works with an assistant, she makes 90 percent more bears per week and works 10 percent fewer hours each week. Having an assistant increases Jane’s output of toy bears per hour by what percent?
If r = 199,999 and s = 991,999, which of the following is the units digit of r^4 + s^3?
If a boat goes 4km upstream in 12 minutes and the speed of the stream is 8 kmph, then the speed of the boat in still water is ?
A candidate got 35% of the votes polled and he lost to his rival by 2460 votes. How many votes were cast?
19 people are there, they are shaking hands together, how many hand shakes possible,if they are in pair of cyclic sequence.
Last year Sandy saved 6% of her annual salary. This year, she made 10% more money than last year, and she saved 10% of her salary. The amount saved this year was what percent of the amount she saved last year?
The probability that a number selected at random from the first 50 natural numbers is a composite number is ?
A woman put $580 into a savings account for one year. The rate of interest on the account was 6½%. How much was the interest for the year in dollars and cents? (Round to the nearest cent)
If x/y = 3 and (2a - x)/(5b - y) = 3, then the value of a/b is?
The labeled price of a table is Rs. 7,000. The shopkeeper sold it by giving 5% discount on the labeled price and earned a profit of 15%. What approximately is the cost price of the table?
There are 18 students in a class. On the day the test was given, Alice was absent. The other 17 students took the test and their average was 78. The next day, Alice took the test, and with this grade included, the new average was 79. What was Alice's grade on the test?
The difference of two numbers is 1097. On dividing the larger number by the smaller, we get 10 as quotient and the 17 as remainder. What is the smaller number ?
If 0.3 of a number is equal to 0.06 of another number, the ratio of the numbers i
Y can do a work in 2/3 the time it takes X. Z can do the same work in ¾ the time it takes Y.When all three are typing at the same time what fraction of their total work does Y do
An amusement park charges $8 for an adults' ticket, and $6 for a children's ticket. On a certain day, a total of 150 tickets were sold for a total cost of $1020. How many more children's tickets were sold than adults' tickets?
40 percent of the members of a study group are women, and 20 percent of those women are lawyers. If one member of the study group is to be selected at random, what is the probability that the member selected is a woman lawyer?
The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?
Six 6 faced dice are thrown together. The probability that all the three show the same number on them is?
power windows: 60% anti-lock brakes: 25% CD player: 50% The table above shows the number of vehicles at Bill's car dealership that have certain features. No vehicle has all three features, but 10% have power windows and anti-lock brakes, 15% have anti-lock brakes and a CD player, and 22% have power windows and a CD player. What percent of the vehicles at Bill's car dealership have a CD player but no power windows or anti-lock brakes?
If x^4 + y^4 = 300, then the greatest possible value of x is between:
Series T is a sequence of numbers where each term after the first term is x greater than the term that precedes it. If the sum of the first and last terms of series T is 14, then what is the sum of the first three terms of series T and the last three terms of series T?
A train with a length of 100 meters, is traveling at a speed of 72 km/hr. The train enters a tunnel 1.7 km long. How many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
If in a race of 130m, A covers the distance in 20 seconds and B in 25 seconds, then A beats B by:
12.5 * 5.2 * 8.8 = ?
There are between 130 and 140 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?
The incomes of two persons A and B are in the ratio 3:4. If each saves Rs.100 per month, the ratio of their expenditures is 1:2 . Find their incomes?
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 48 years now, the son's age five years back was:
A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
If x is equal to the sum of the even integers from 40 to 60 inclusive, and y is the number of even integers from 40 to 60 inclusive, what is the value of x+y?
In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 2:3:5. If there are in all Rs.40.50, the number of 50 paisa coins is?
If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 105 games will be played during the tournament. Find the number of participants.
A train running at the speed of 60 km/hr crosses a pole in 12 sec. What is the length of the train?
Given that 268x74= 19632, find the value of 2.68x.74.
Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest?
John has $1,200 at the beginning of his trip, after spending money, he still has exactly $800 less than he spent on the trip. How much money does John still have?
From among the 39 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
What will be the fraction of 33.33%
A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
An accurate clock shows 8 o’clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 4 o’clock in the afternoon?
10 litres of water are poured into an aquarium of dimensions 50cm length, 10cm breadth, and 40cm height. How high (in cm) will the water rise? (1 litre = 1000cm³)
Anna and Carol buy CDs and tapes at a music store that sells each of its CDs for a certain price and each of its tapes for a certain price. Anna spends twice as much as Carol spends, buying three times as many CDs and the same number of tapes. If Carol spends $40.00 on four CDs and five tapes, how much does one tape cost?
A lends Rs. 2500 to B and a certain to C at the same time at 7% p.a. simple interest. If after 4 years, A altogether receives Rs. 1120 as interest from B and C, then the sum lent to C is?
Ages of two persons differ by 18 years. If 6 year ago, the elder one be 3 times as old the younger one, find their present age
There are 100 men in town. Out of which 85% were married, 70% have a phone, 75% own a car, 80% own a house. What is the maximum number of people who are married, own a phone, own a car and own a house?
To 15 lts of water containing 20% alcohol, we add 5 lts of pure water. What is % alcohol.
A student got 71% in math and 81% in history. To get an overall average of 75%, how much should the student get in the third subject?
A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 12% while buying and by 30% while selling. What is his percentage profit?
In a class of 35 students 26 play football and play 20 long tennis, if 17 play above, many play neither?
A and B are two circles. The radius of A is thrice as large as the diameter of B. What is the ratio between the areas of the circles?
The sum of 3 hours 45 minutes and 4 hours 55 minutes is approximately what percent of a day?