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big_math_dataset

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In a company, 48 percent of the employees are men. If 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non-union employees are women?
A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
4/15 of 5/7 of a number is greater than 4/9 of 2/5 of the same number by 8. What is half of that number?
A man's regular pay is $3 per hour up to 40 hours. Overtime is twice the payment for regular time. If he was paid $168, how many hours overtime did he work?
A pump can fill a tank with water in 2 hours. Because of a leak, it took 7 hours to fill the tank. The leak can drain all the water in ?
A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 500 more than that by the previous schema, his sales were worth?
A ring x of diameter 16 inches is placed inside another ring y of diameter of 18 inches. How much fraction of the ring x surface is not covered by the ring y?
On dividing 21 by a number, the quotient is 10 and the remainder is 1. Find the divisor.
Soniya deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
6 college friends go on vacation together during spring break. Their rental house costs $1250. If each friend pays the same amount and no one has bills smaller than $1, how much money do they pay for the rental?
30% of all fishermen in Piscataquis County are also hunters while only 20% of all hunters are fishermen. If there are 1500 hunters in Piscataquis County then how many fishermen are there?
There are two concentric circles with radii 5 and 4. If the radius of the outer circle is increased by 20% and the radius of the inner circle decreased by 50%, by what percent does the area between the circles increase?
The function F is defined for all positive integers n by the following rule: f(n) is the number of position integer each of which is less than n, and has no position factor in common with n other than 1. If p is any prime number then f(p)
12, 38, 116, 350, 1052, ?
Indu gave Bindu Rs.1250 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
John invests $x at the semi-annual constant compounded rate of 2 percent and also does $8,000 at the quarterly constant compounded rate of 4 percent. If the interests are the same after 1 year, what is the value of x??
How many 6-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 and 7 so that the digits should not repeat and the second last digit is even?
If 8 is added to twice a number and this sum is multiplied by 4, the result is the same as if the number is multiplied by 4 and 8 is added to the product. What is the number?
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 148 cookies, what percent of the cookies did Irin bake?
According to a survey, at least 48% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?
If x + 4y = 5 and 5x + 6y = 7, then 3x + 5y = ?
At what rate of interest is an amount doubled in two years, when compounded annually?
Which of the following is greatest?
There were two candidates in an election. Winner candidate received 62% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate?
If b is greater than 1 , which of the following must be negative?
What is the probability that a leap year has 53 Sundays and 52 Mondays?
Anthony and Cindy were each given x dollars in advance to perform at a community festival. Anthony eventually performed on all 14 days of the festival, while Cindy performed on 3 fewer days than Anthony performed. If Cindy gives Anthony y dollars of her advance payment so that they would have each received the same dai...
If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 8 kmph, then the speed of the boat in still water is :
A man bought 10 crates of mangoes for $160 total. If he lost 2 of the crates, at what price would he have to sell each of the remaining crates in order to earn a total profit of 25 percent of the total cost?
There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 8 days more?
By weight, liquid X makes up 0.5 percent of solution P and 1.5 percent of solution Q. If 200 grams of solution P are mixed with 800 grams of solution Q, then liquid X accounts for what percent of the weight of the resulting solution?
In a triangle XYZ, XZ is the longest side, length of which is 1 unit more than YZ, which again has length 1 unit more than XY. If area of the triangle is 10 and the shortest side is 3. What are the lengths of the three sides?
How many Z ways can you group 3 people from 4 sets of twins if no two people from the same set of twins can be chosen?
The average of 25 results is 50. The average of first 12 of those is 14 and the average of last 12 is 17. What is the 13th result?
The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is ?
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
If 9 men working 6 hours a day can do a work in 88 days. Then 6 men working 8 hours a day can do it in how many days?
At 15:00 there were 21 students in the computer lab. At 15:03 and every three minutes after that, 3 students entered the lab. If at 15:10 and every ten minutes after that 8 students left the lab, how many students were in the computer lab at 15:44 ?
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
There are 3 numbers x,y,z.the mean is m.median is 5.m is 10 more than the smallest number and 15 less than the biggest number.what is x+y+z?
whats the next no.. 3,7,13,19....
Nine children, Arya, Betsy, Chen, Daniel, Emily, and Franco, are to be seated in a single row of six chairs. If Betsy cannot sit next to Emily, how many different arrangements of the six children are possible?
A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
If the roots of the equation 2x2 - 5x + b = 0 are in the ratio of 2:3, then find the value of b?
The down stream speed of a boat is 50km/hr and its up stream speed is 10km/hr, then find the speed of boat in still water?
A report has 20 sheets each of 55 lines and each line consists of 65 characters. If this report is to be retyped with each sheet having 65 lines and each line of 75 characters what will be the reduction percent in the pages ?
Which of the following is equal to 1(3/5)%?
Which of these expressions has the greatest value?
At the time of marriage, a man was 6 years elder to his wife. 12 years after their marriage, his age is 6/5 times the age of his wife. What was wife's age at the time of marriage ? Choose one answer.
The average of 11 results is 50, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
Of all the homes on Gotham Street, 1/3 are termite-ridden, and 4/7 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing?
By using the numbers 1, 2, 3, 5 and 7 only once, how many five digit numbers can be made that are divisible by 50?
Fred has 200 animals. If 6% are chickens, how many of the animals are not chickens?
the sum of two numbers is 15 and their geometric mean is 20% lower than arithmetic mean . find the numbers .
Last week John spent 10 percent of his wages on recreation. This week, his wages are 10 percent less than last weekʼs wages and he spent 40 percent of his wages on recreation. The amount he spends on recreation this week is what percent of the amount he spent on recreation last week
If you are given $2, and the amount doubles every day, how much money will you have after 8 days?
There are 40 balls which are red, blue or green. If 15 balls are green and the sum of red balls and green balls is less than 25, at most how many red balls are there?
Find the simple interest on Rs 8000 at 16% per annum for the period from 18th May 2014 to 8th April 2014
19 5 17 = x 65 8 10 = y What will be the value of x + y?
How long will it take a certain amount to increase by 30% at the rate of 15% simple interest?
The value of x + x(xx) when x = 2 is:
__2A x__B ____ CC In the multiplication problem above, A, B, and C represent distinct digits. If the sum of A and B is equal to 4, what is the value of C?
Andrew started saving at the beginning of the year and had saved $240 by the end of the year. He continued to save and by the end of 2 years had saved a total of $540. Which of the following is closest to the percent increase in the amount Andrew saved during the second year compared to the amount he saved during the f...
The ratio of the volumes of two cubes is 343 : 512. What is the ratio of their total surface areas?
Present ages of Sameer and Anand are in the ratio of 5:4 respectively. Three years hence, the ratio of their ages will become 11:9 respectively. What is Anand's present age in years?
The average marks of 10 students in a class is 100. But a student mark is wrongly noted as 60 instead of 10 then find the correct average marks?
A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
A train 250 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
How many 6 digit number can be formed from the digits 1, 2, 3, 4, 5, 6 which are divisible by 4 and digits are not repeated?
x = 13.165 y = 7.496 z = 11.575 The number A is obtained by first rounding the values of x, y, and z to the hundredths place and then adding the resulting values. The number B is obtained by first adding the values of x, y, and z and then rounding the sum to the hundredths place. What is the value of A – B?
The average monthly salary of laborers and supervisors in a factory is Rs.1250 per month; where as the average monthly salary of 6 supervisors is Rs.2450. If the average monthly salary of the laborers is Rs.950 find the number of laborers?
Three number are in the ratio 5:6:7. The sum of its largest and smallest numbers equals the sum of the third number and 48. Find the third number?
The average age of boys in a class is 16 years and that of the girls is 15 years. The average age for the whole class is
If 2x + 3y = 48; 2y + z = 19 and x + 2z = 29, what is the value of x + y + z ?
The present population of a town is 2100. Population increase rate is 5% p.a. Find the population of town before 1 years?
A circular ground whose diameter is 35 metres, has a 1.4 metre-broad garden around inside of it. What is the area of the garden in square metres?
The two lines y = x and x = -4 intersect on the coordinate plane. If z represents the area of the figure formed by the intersecting lines and the x-axis, what is the side length Q of a cube whose surface area is equal to 6z?
Primary batteries, unlike secondary batteries, may be:
A contractor hires 100 men to finish a job in 50 days. After 8 days, n men leave. After some more days, the contractor hires 2n more men to complete the job on time. For how many days did these 2n men work?
A man drives his car and starts with the speed of 25 kmph with its speed increasing every hour by 5 kmph. In how many hours would it take him to drive 100 kms?
A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
The population of a bacteria culture doubles every 3 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria
(0.76)(power 3) - (0.1)(power 3)/ (0.76)(power 2) + 0.076 + (0.1)(power 2) is:
If 3^p - 3^(p-1) = 162 then p(p-1) =
total dinning bill of 7 people was $139.00 and 10% tip divided the bill evenly ?what is the bill amount each person shared .
A garrison of 400 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
If the areas of the three adjacent faces of a cuboidal box are 120 cm², 72 cm² and 60 cm² respectively, then find the volume of the box.
Two stations P and Q are 65 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet?
A bag contains 9 red, 2 green balls. 3 balls are drawn randomly. What is the probability that balls drawn contain exactly two green balls?
Find the missing number: 3 6 18 ? 7 8
Let S be the set of all positive integers that, when divided by 8, have a remainder of 5. What is the 70th number in this set?
What is the least value of x, So that 2x5476 is divisible by 9
A rectangle having length 120 cm and width 50 cm. If the length of the rectangle is increased by ten percent then how much percent the breadth should be decreased so as to maintain the same area.
A trader bought a car at 20% discount on its original price. He sold it at a 65% increase on the price he bought it. What percent of profit did he make on the original price?
A 260 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
A man travels equal distances with speed of 3 km/hr, 4 km/hr and 5 km/hr and takes a total of 47 minutes. Find the distance amount?
The perimeter of a triangle is 40 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
If the HCF of two numbers is 2 and their LCM is 70, then the numbers are: