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big_math_dataset

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The average of 7 numbers is 24. If each number be multiplied by 5. Find the average of new set of numbers?
In a college election between two rivals, a candidate who got 40% of the total votes polled, was defeated by his rival by 160 votes. The total number of votes polled was
Krishan and Nandan jointly started a business. Krishan invested four times as Nandan did and invested his money for trible time as compared to Nandan. If the gain is proportional to the money invested and the time for which the money is invested and the total gain was Rs.26000, find the Nandan's earning.
A rectangular-shaped carpet that measures x feet by y feet is priced at $44. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
The ratio of two speeds of two trains is 3 to 4. If each of the trains slows its speed 5 km/ hr, what will be the ratio of these two train speeds ?
The number obtained by interchanging the two digits of a two-digit number is less than the original number by 45. If the sum of the two digits of the number so obtained is 13, then what is the original number?
A pack of baseball cards consists of 12 outfielder cards and 8 infielder cards. What is the lowest number of outfielder cards that would have to be removed from the pack so that no more than 55 percent of the pack would be outfielder cards?
A man can row upstream at 20 kmph and downstream at 80 kmph, and then find the speed of the man in still water?
In an office, 30 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?
9.5 , 9.8 , 9.9 , 9.9 , 9.9 , 10.2 , 10.3 , 10.5 The mean and the standard deviation of the 8 numbers shown above is 10 and 0.296 respectively. What percent of the 8 numbers are within 1 standard deviation of the mean?
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
A,B,C can complete a piece of work in 24,8,12 days. Working together, they complete the same work in how many days?
The sum and the product of two numbers are 16 and 15 respectively, the difference of the number is?
In a class, there are 20 boys whose average age is decreased by 2 months, when one boy aged 17 years replaced by a new boy. The age of the new boy is?
There are 600 boys in a hostel. Each plays either hockey or football or both. If 75% play hockey and 55% play football, how many play both?
A certain team consists of 3 professors and 6 teaching assistants. How many different teams of 3 can be formed in which at least one member of the group is a professor? (Two groups are considered different if at least one group member is different.)
The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is
A five digit number is to be formed using each of the digits 1, 2, 3, 4 and 5 ONLY ONCE. How many numbers can be formed when 1 and 2 are not together ?
A certain number X when divided by 253 leaves a remainder of 98. Which of the following can be subtracted from X to make X divisible by 81?
During a Pizza buffet where A eats more times 2.4 than B, and B eats 6 times less than C.find the leat number of times all the three has to eat
X and Y together can completes a work in 12 days and Y complete the same work in 24 days. Then the number of days X required to complete the work will be?
If the average (arithmetic mean) of a and b is 215, and the average of b and c is 160, what is the value of a − c?
A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 27 m * 2 m * 0.75 m?
Incomes of two companies A and B are in the ratio of 5 : 8. Had the income of company A been more by 20 lakh, the ratio of their incomes would have been 5 : 4. What is the income of company B?
Resident of town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and std deviation of 8 hrs. The number of hours that pat, a resident of town X, watched television last week was between 1 and 2 standard deviation below the mean. Which of the following could be the number of hours that Pat watched television last week?
Meera is making telescopes, each consisting of 2 lenses, 1 tube, and 1 eyepiece. Lenses can be purchased only in packs of 50, tubes only in packs of 10, and eyepieces only in packs of 30. However, half of the lenses in each pack are not usable for telescopes. If all parts are used only for the telescopes, what is the minimum number of lenses Meera must purchase to make a set of telescopes with no leftover components other than the unusable lenses?
Which of the following expressions CANNOT have a negative value
Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 210 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
On Wednesday, Kramer purchases exactly 3 new shirts, 2 new sweaters, and 4 new hats, On the following day and each subsequent day thereafter, Kramer wears one of his new shirts together with one of his new sweaters and one of his new hats. Kramer avoids wearing the exact same combination of shirt, sweater, and hat for as long as possible. On which day is this no longer possible?
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 4 hours and 16 hours respectively. The ratio of their speeds is?
26 : 62 :: 32:?
What least number must be subtracted from 9671 so that the remaining number is divisible by 5?
Harkamal purchased 8kg of grapes at the rate of 80 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
A property was originally on a 99 years lease and two thirds of the time passed is equal to the four fifth of the time to come.how many years are there to go.
Crazy Eddie has a key chain factory. Eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price, and thus increased the profit from the sale of each key chain from 40% of the selling price to 50% of the selling price. If the manufacturing cost is now $50, what was it before the decrease?
Find out the square of a number which when doubled exceeds its one sixth by 11 ?
A dinner has 2 coffee pitchers; Each can hold 8 cups of coffee. During Monday's morning rush, a customer orders 10 cups of coffee. At the time this customer orders the coffee, one coffee pitcher is 1/4 full while the other is 3/8 full. How much of the customer's order can be filled without making more coffee.
A family has two children. find the probability that both the children are boys given that at least one of them is a boy?
Surekha started a business investing Rs.25,000 in 1999. In 2000, he invested an additional amount of Rs. 10,000 and Rajesh joined him with an amount of Rs. 35,000. In 2001, Surekha invested another additional amount of Rs.10,000 and Jay joined them with an amount of Rs.35,000. What will be Rajesh's share in the profit of Rs.1,80,000 earned at the end of 3 years from the start of the business in 1999?
A picnic attracts 240 persons. There are 30 more men than women, and 30 more adults than children. How many men are at this picnic?
If a boat goes 8km upstream in 80 minutes and the speed of the stream is 5 kmph, then the speed of the boat in still water is ?
A car runs 375 km in 3 hours. What's the car's speed?
The ratio of spinsters to cats is 2 to 7. If there are 35 more cats than spinsters, how many spinsters are there?
A train running at the speed of 60 km/hr crosses a pole in 6 seconds. Find the length of the train.
Find the missing figures: 0.1% of ? = 0.24
Two cubes of their volumes in the ratio 64 : 343. The ratio of their surface area is:
A person took some amount with some interest for 4 years, but increase the interest for 1%, he paid Rs.160/- extra, then how much amount he took?
A shopkeeper sold an article at $100 with 10% profit. Then find its cost price?
Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
The difference between the place values of 8 and 3 in the number 587435 is
Car Dealership X, the total profit from sales increased by 10 percent over the previous years, while the number of cars sold decreased by 10 percent over the previous years. Approximately what was the average percent increase in profit per car over the previous year.
At Parkins gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?
In a 1300 m race Usha beats Shiny by 50 m. In the same race, by what time margin Shiny beat Mercy who runs at 4 m/s ?
If the price has fallen by 10% what percent of its consumption be: increased so that the expenditure may be the same as before?
If a man buys 40 purse for $110 and sold them for $3 dollars each determine his gain.
How many such letter-pairs are there in the word BONAFIDE having same number of letters left between them as they have in the series?
A rectangular field is 72 yards long and 33 yards wide. A fence is needed for the perimeter of the field. Fencing is also needed to divide the field into three square sections. How many feet of fencing are needed? (It is a good idea to make a drawing for this one.)
Winson leaves home everyday at 4 p.m to pick his son from school and returns home at 6 p.m. One day, the school was over at 4 p.m and the son started walking home from school. Winson, unaware of this, starts from home as usual and meets his son on the way and returns home with him 15 minutes early. If the speed of Winson is 30 km\hr, find the speed of his son.
In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is?
At a certain high school, a student’s popularity is determined by his or her locker number. Whoever has the locker number with the greatest number of distinct prime factors is the most popular student in the school. If Johanna, Jamal, Brianna, and John get lockers with the numbers 200, 400, 150, and 420, respectively, who is the most popular student?
In a company of 148 employees, 92 are females. A total of 78 employees have advanced degrees and the rest have a college degree only. If 31 employees are males with college degree only, how many employees are females with advanced degrees?
There are 8 points marked on the circumference of a circle. How many hexagons can be formed by connecting 6 points of the 8 points?
If n = 4p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?
What is the tens digit of 7^1415?
If each day a tree loses half its remaining leaves, what fraction of its leaves will it have lost after 8 days ?
Which of the following are/is prime? I. 145 II. 147 III. 149
A football coach must choose 4 freshers from a team of 12players. How many different ways can the coach choose the freshers?
The average height of 35 boys in a class was calculated as 180cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places?
Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share?
Mahesh visited his cousin Akash during the summer vacation. In the mornings, they both would go for swimming. In the evenings, they would play tennis. They would engage in at most one activity per day, i.e. either they went swimming or played tennis each day. There were days when they took rest and stayed home all day long. There were 32 mornings when they did nothing, 18 evenings when they stayed at home, and a total of 28 days when they swam or played tennis. What duration of the summer vacation did Mahesh stay with Akash?
ACME’s manufacturing costs for sets of horseshoes include a $11,450 initial outlay, and $19.75 per set. They can sell the sets $51.50. If profit is revenue from sales minus manufacturing costs, and the company producessells 987 sets of horseshoes, what was their profit?
Ravi purchased a T.V. and a mobile phone for Rs. 30000 and Rs. 10000 respectively. He sold the refrigerator at a loss of 5 percent and the mobile phone at a profit of 10 percent. Overall he make a.
If the average (arithmetic mean) of a and b is 35 and the average of b and c is 80, what is the value of c − a?
If P(A) = 2/15, P(B) = 4/15, and P(A ∪ B) = 12/15 Find P(B|A)
Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 20hr. If all pipes are opened simultaneously, then the cistern will be filled in
If a fair coin is flipped four times in a row, what is the probability that there will be at least one head and one tail?
If two numbers x, a perfect square and y, a perfect cube are added results a two digit number, whose digits if reversed, difference is 27, Find x and y ?
A thief goes away with a SANTRO car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
If f(x) = 2x^2 + y, and f(2) = 100, what is the value of f(5)?
In a certain state, the ratio of registered Republicans to registered Democrats is 3 to 2, and every registered voter is either a Republican or a Democrat. If 70 percent of the Republicans and 25 percent of the Democrats are expected to vote for Candidate X, and everyone else is expected to vote for Candidate Y, by what percent is Candidate X expected to win the election?
What Is The Next Number 12 13 15 17 111 113 117 119 123 129 ?
A number when successively divided by 3,5 and 8 leaves remainders 1,4 and 7 respectively. Find the respective remainders T when the order of the divisors is reversed.
On a partly cloudy day, john decides to walk back from work. When it is sunny, he walks at a speed of s miles/hr (s is an integer) and when it gets cloudy, he increases his speed to (s + 1) miles/hr. If his average speed for the entire distance is 2.8 miles/hr, what fraction of the total distance did he cover while the sun was shining on him?
The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?
In a certain state, gasoline stations compute the price per gallon p, in dollars, charged at the pump by adding a 5 percent sales tax to the dealer's price per gallon d, in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon d in terms of the price per gallon p charged at the pump?
Seven people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
A couple decides to have 4 children. If they succeed in having 4 children and each child is equally likely to be a boy or a girl, what is the probability that they will have exactly 2 girls and 2 boys?
At a small company, 58 percent of the employees are women, and 60 percent of the employees are married. If 2/3 of the men are single, what fraction of the women are married?
here are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?
During a certain season, a team won 60 percent of its first 100 games and 50 percent of its remaining games. If the team won 70 percent of its games for the entire season, what was the total number of games that the team played?
Two trains A and B are 225 m and 150 m long and are moving at one another at 54 Km/hr and 36 Km/hr respectively. Arun is sitting on coach B1 of train A. Calculate the time taken by Arun to completely cross Train B.
What is the normal price of an article sold at $72 after two successive discounts of 10% and 20%?
Of the 600 residents of Clermontville, 35% watch the television show Island Survival, 40% watch Lovelost Lawyers and 50% watch Medical Emergency. If all residents watch at least one of these three shows and 18% watch exactly 2 of these shows, then how many Clermontville residents V watch all of the shows?
Look at this series: 70, 71, 76, __, 81, 86, 70, 91, ... What number should fill the blank?
We bought a total of 90 books at the store. Math books cost $4 and history books cost $5. The total price was $390. How many math books did we buy?
Thabo owns exactly 220 books, and each book is either paperback fiction, paperback nonfiction, or hardcover nonfiction. If he owns 20 more paperback nonfiction books than hardcover nonfiction books, and twice as many paperback fiction books as paperback nonfiction books, how many hardcover books nonfiction books does Thabo own?
In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 130 marks, the no of questions he attempts correctly is :
The average (arithmetic mean) of eight numbers is 43.2. If the sum of half of these numbers is 154.4, what is the average of the other half?
Express a speed of 108 kmph in meters per second?
A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 24 m * 2 m * 0.75 m?