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big_math_dataset

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Jane and Ashley take 5 5/7 days and 40 days respectively to complete a project when they work on it alone. They thought if they worked on the project together, they would take fewer days to complete it. During the period that they were working together, Jane took an eight day leave from work. This led to Jane's working for four extra days on her own to complete the project. How long did it take to finish the project ?
A watch was sold at a loss of 10%. If it was sold for Rs.180 more, there would have been a gain of 5%. What is the cost price?
If a sample of data has mean of 22 and SD of 3, which of the following values is more than 2.5 SDs from the mean?
Two children want to walk together to visit their aunt, who lives exactly 7 blocks north and 6 blocks east of their current location. If they travel only along streets and do not travel diagonally, the shortest possible route connecting the two points is exactly 13 blocks. How many different 13-block routes may they take to travel the shortest possible distance to their aunt’s house?
Albert buys 4 horses and 9 cows for Rs. 13,400. If he sells the horses at 10% profit and the cows at 20% profit, then he earns a total profit of Rs. 1880. The cost of a horse is:
If a quarter Kg of potato costs 60 paise, How many paise will 200 gm cost?
On a map, 2.5 inches represent 40 miles. How many miles approximately is the distance if you measured 155 centimeters assuming that 1-inch is 2.54 centimeters?
Last year’s receipts from the sale of greeting cards during the week before Mother’s Day totaled $189 million, which represented 10 percent of total greeting card sales for the year. Total greeting card sales for the year totaled how many million dollars?
How many seconds will a 700 meter 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?
In My, Xiang sold 15 used cars. For these 15 used cars the range of selling prices was 15,000 and the lowest selling price was 4,500. In June, Xiang sold 10 cars. For these 10 cars the range of selling was 12,000 and the lowest selling price was 6,100. What was the range of selling prices for the 25 used car sold by xiang in May and June?
P and Q can complete a work in 40 days and 24 days respectively. P alone started the work and Q joined him after 16 days till the completion of the work. How long did the work last?
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
The ratio of the area of a square mirror to its frame is 16 to 33. If the frame has a uniform width (f) around the mirror, which of the following could be the value, in inches, of f ? I. 2 II. 3 1/2 III. 5
If the Average (mean ) of 13 positive temperatures is x degrees fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
A train running at the speed of 60 km/hr crosses a pole in 9 seconds. Find the length of the train.
In a workshop there are 4 kinds of beds, 3 kinds of closets, 2 kinds of shelves and 7 kinds of chairs. In how many ways can a person decorate his room if he wants to buy in the workshop one closet, one bed and one of the following: a chair or a shelf?
The average of 45 results is 25 and the average of other 25 results is 45 . what is the average of all the results?
The age of a man is twice the sum of the ages of his two sons. Five years hence, his age will be 16 years more than the sum of the ages of his sons. What is the father's present age?
On a certain number line, conditions are a<b<c<d<e and abcd>0. Which of the following must be true? I ab>0 II cd>0 III de>0 ,IV e+ve =ve
In given question, various terms of an alphabet series is given with one term missing as shown by (?). Choose the missing term out of the given alternatives. D, G, J, M, ?, S, V
The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 500. What is the manager's monthly salary ?
Two identical machines have the ability to produce both nuts and bolts. However, it takes 1 second to produce a bolt but 2 seconds to produce a nut. What is the fastest the two machines, working together, can produce 2,000 nuts and 2,000 bolts?
a, b, c and d are four consecutive numbers. If the sum of a and dis 107, what is the product of b and c?
A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
150 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4?
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 asquotient and the 15 as remainder?
y = 248 - 200x Which of the following values of x gives the greatest value of y in the equation above?
To mail a package, the rate is a cents for the first pound and b cents for each additional pound, where a>b. Two packages weighing 3 pounds and 5 pounds, respectively can be mailed seperately or combined as one package. Which method is cheaper and how much money is saved?
In a jar there are balls in different colors: blue, red, green and yellow. The probability of drawing a blue ball is 1/8. The probability of drawing a red ball is 3/5. The probability of drawing a green ball is 1/10. If a jar cannot contain more than 50 balls, how many yellow balls are in the Jar?
If 2x+3y=34 and ((x + y)/y)=13/8,then find the value of 5y+7x.
How many pairs (q, q+1) have one or more prime factors common, where q is an integer and 2 ≤ q ≤9 ?
Hari spends 50% of his income. His income is increased by 10% and he increased his expenditure by 5%. Find the percentage increase in his savings?
A tempo is insured to an extent of 5/7 of its original value. If the premium on it at the rate of 3% amounts to $300, The original value of the tempo is?
Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 4 kg more than Peter. Together the three of them picked 28 kg of chestnuts. How many kilograms of chestnuts did Mary, Peter, and Lucy pick respectively?
Consider a right triangle WBC with length of sides being x,y and z where y represents the hypotenuse , Which of these represent the radius of the circle which is inscribed in triangle WBC
A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?
If 16% of 40% of a number is 4, then the number is
A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 4 employees to 2 different offices?
If a fair coin is tossed five times, what is the probability of getting exactly four heads in a row?
A restaurant meal cost $30.00 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between
A certain number X when divided by 243 leaves a remainder of 95. Which of the following can be subtracted from X to make X divisible by 79?
Two heavily loaded sixteen-wheeler transport trucks are 690 kilometers apart, sitting at two rest stops on opposite sides of the same highway. Driver A begins heading down the highway driving at an average speed of 90 kilometers per hour. Exactly one hour later, Driver B starts down the highway toward Driver A, maintaining an average speed of 80 kilometers per hour. How many kilometers farther than Driver B, will Driver A have driven when they meet and pass each other on the highway?
one person Tharak speed with the current is 10 km/hr and the speed of the current is 5 km/hr. Tharak's speed against the current is:
The length and breadth of a rectangle is increased by 11% and 22% respectively. What is the increase in the area?
How many positive integer solutions does the equation 2x+5y = 100 have?
The compound ratio of 5:6, 3:2 and 6:5?
Real-estate salesman Z is selling a house at a 20 percent discount from its retail price. Real-estate salesman X vows to match this price, and then offers an additional 10 percent discount. Real-estate salesman Y decides to average the prices of salesmen Z and X, then offer an additional 25 percent discount. Salesman Y's final price is what fraction of salesman X's final price?
How many 3-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARI', if repetition of letters is not allowed?
A part of certain sum of money is invested at 16% 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?
How many four-digit numbers that do not contain the digits 2, 3, 4, 5, or 6 are there?
In how many ways can a team of 5 persons be formed out of a total of 10 persons such that two particular persons should not be included in any team?
An employer pays Rs. 30 for each day a worker works, and forfeits Rs. 5 for each day he is idle. At the end of 60 days, a worker gets Rs. 500. For how many days did the worker remain idle?
In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Gold is 10 times as heavy as water and copper is 5 times as heavy as water. In what ratio should these be mixed to get an alloy 6 times as heavy as water?
If x is a positive integer, which of the following could NOT be the square of x?
A certain NYC taxi driver has decided to start charging a rate of r cents per person per mile. How much, in dollars, would it cost 10 people to travel x miles if he decides to give them a 50% discount?
6 persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. Hence the current average age has become 45. Find the age of seventh person?
In a class of 60 students, 20 did not opt for math. 15 did not opt for science and 5 did not opt for either. How many students of the class opted for both math and science?
If A, B and C together can finish a piece of work in 4 days. A alone in 12 days and B in 18 days, then C alone can do it in?
A rectangular floor that measures 8 meters by 10 meters is to be covered with carpet squares that each measure 2 meters by 2 meters. If the carpet squares cost $10 apiece, what is the total cost for the number of carpet squares needed to cover the floor?
If 6 women can color 360 m long cloth in 3 days, then 5 women can color 100 m long cloth in?
If 25% of(x-y) = 15% of(x+y), then what percent of x is y?
When a certain number X is divided by 54, the remainder is 22. What is the remainder when X is divided by 18?
If y is 60% greater than x, than x is what % less than y?
Ayesha’s father was 38 years of age when she was born while her mother was 31 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
There are 300 seniors at Morse High School, and 50% of them have cars. Of the remaining grades (freshmen, sophomores, and juniors), only 10% of them have cars. If 15% of all the students at Morse have cars, how many students are in the three lower grades?
The difference between the ages of two persons is 11 years. Ten years ago, the elder one was twice as old as the younger one. The present age of the elder person is
There is 66x33m rectangular area. Ram is 11/8 times faster than Krishna. Both of them started walking at opposite ends and they met at some point then, Ram said "See you in the other end" Then they continued walking. After some time Ram thought he will have tea so he turned back walked back 15 meters then he changed his mind again and continued walking .How much Krishna has traveled by the time they meet?
A boy runs 200 metres in 30 seconds. What is his speed ?
If y = 2 + 2K and y≠0y≠0, then 1/y + 1/y + 1/y + 1/y = ?
An automobile manufacturer offers a station wagon with either a 8-cylinder engine or a 6-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 8-cylinder engine. How many combinations of the five options listed does the manufacturer offer for its station wagon?
In a simultaneous throw of 2 dice, what is the probability of not getting a doublet?
11, 13, 17, 19, 23, 29, 31, 37, 41, ?
One fourth of one third of two fifth of a number is 16. What will be40% of that number
A man deposited 20% of 25% of 30% of an amount in a bank. If he deposited 750 then what was amount he had initially
There are 11engineers and 7 civil engineers in a company. Theyare selecting member for row. In how many ways can they be seated in a row so that no two of the civil engineers will sit together?
A letter lock consists of three rings each marked with EIGHT different letters. The number of distinct unsuccessful attempts to open the lock is at the most?
A, B, C started a business with their investments in the ratio 1:3 :5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year is :
The temperature of a certain cup of coffee 30 minutes after it was poured was 120 degrees Fahrenheit. If the temperature F of the coffee t minutes after it was poured can be determined by the formula F = 120*2^(-at) + 60, where F is in degrees Fahrenheit and a is a constant. Then the temperature of the coffee 30 minutes after it was poured was how many degrees Fahrenheit?
A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
The no. of girls in a class are seven times the no. of boys, which value can neverbe the of total students?
The ratio of investments of A, B and C is 5:7:7. If they share the profit in the ratio of 5:9:14, then find the ratio of their periods of investments.
Replace the ? by the correct Mathematics symbol to make the expression true 10 ? 10 ? 4 ? 7 = 12
If 144/x is an integer and 108/x is an integer, which of the following must be true? I. 9/x is an integer. II. 12/x is an integer. III. 36/x is an integer.
The average score of a cricketer in 6 matches is 27 and in other 4 matches is 32. Then find the average score in all the 10 matches?
If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 171 games will be played during the tournament. Find the number of participants.
A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 15% while buying and by 20% while selling. What is his percentage profit?
Two trains of equal lengths take 10 sec and 18 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Tough and Tricky questions: Mixture Problems. A drink holding 6 ounces of an alcoholic drink that is 1 part rum to 2 parts coke is added to a jug holding 36 ounces of an alcoholic drink that is 1 part rum to 3 parts coke. What is the ratio of rum to coke in the resulting mixture?
A furniture manufacturer has two machines, but only one can be used at a time. Machine W is utilized during the first shift and Machine B during the second shift, while both work half of the third shift. If Machine W can do the job in 12 days working two shifts and Machine B can do the job in 15 days working two shifts, how many days will it take to do the job with the current work schedule?
6 men, 8 women and 6 children complete a job for a sum of Rs.950. If their individual wages are in the ratio 4:3:2, the total money earned by the children is
Second Saturday and every Sunday is a holiday. How many working days will be there in a month of 30 days beginning on a Saturday?
The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?
16.02 × 0.00001 = ?
If X = the product of eight distinct prime numbers, how many factors does X have besides 1 and itself?
In how many ways can 5 boys and 3 girls be seated on 8 chairs so that no two girls are together?
A combustion reaction forms carbon dioxide. A carbon dioxide molecule contains one carbon and two oxygen atoms. If, over a period of 10 minutes, a combustion reaction creates 10,000 molecules of carbon dioxide then approximately how many more atoms of oxygen than carbon are created on average per minute?
There is a 40% chance that Germany will not win at all during the whole season. There is a 50% chance that Federer will not play at all in the whole season. What is the greatest possible probability that the Germany will win and Federer will play during the season?
Two men started from the same place walk at the rate of 10kmph and 12kmph respectively. What time will they take to be 20 km apart, if they walk in the same direction?
Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?