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big_math_dataset

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Find the remainder of the division (3^14)/4.
The price ratio of oranges to lemons is 2:3. The price ratio of grapefruits to lemons is 3:5. What is the ratio, by price, of grapefruit to oranges?
A hiker walked for 3 days. She walked 18 miles on the first day, walking 2 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. ...
39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
A foreign language club at Washington Middle School consists of n students, 1/2 of whom are boys. All of the students in the club study exactly one foreign language. 1/3 of the girls in the club study Spanish and 4/5 of the remaining girls study French. If the rest of the girls in the club study German, how many girls ...
Jacob purchased a TV set for $ 12500 after getting a discount of 20% on the labelled price. He spent $ 125 on transport and $ 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered?
rahul played weel in this season.his current batting averagge is 51.if he score 78 runs in today match.his batting average will become 54.how many matches had he played in this season.
What approximate value should come in place of the question mark (?) in the following equation? 35% of 1478 + 29% of 3214 = ?
The average (arithmetic mean) of 4 positive integers is 30. If the average of 2 of these integers is 15, what is the greatest possible value that one of the other 2 integers can have?
The population of a town is 10000. It decreases annually at the rate of 20% p.a. What will be its population after 2 years?
If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 1 strokes ?
The maximum number of student amoung them 2010 pens and 1050 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
The average of temperatures at noontime from Monday to Friday is 25; the lowest one is 15, what is the possible maximum range of the temperatures?
A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is?
How many positive integers less than 80 are multiples of 4 but NOT multiples of 6?
What is the total number of integers between 111 and 222 that are divisible by 9?
The price of lunch for 15 people was $211.00, including a 15 percent gratuity for service. What was the average price per person, EXCLUDING the gratuity?
A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1400 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth?
45 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?
John sells his laptop to Mark at a loss of 20% who subsequently sells it to Kevin at a profit of 25%. Kevin after finding some defect in the laptop, returns it to Mark but could recover only Rs.4.50 for every Rs. 5 he had paid. Find the amount of Kevin’s loss if John had paid Rs. 1,75,000 for the laptop.
A glass was filled with 10 ounces of water, and 0.05 ounce of the water evaporated each day during a 20-day period. What percent of the original amount of water evaporated during this period?
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets $500 more than D, what is C's share?
In a sample of college students, 20 percent are third year students and 80 percent are not second-year students. What fraction of those students who are not third-year students are second-year students?
UBA Capital recently bought Brand new vehicles for office use. UBA capital only went for Toyota and Honda and bought more of Toyota than Honda at the ratio of 6:4. If 60% of the Toyota bought and 40% of the Honda bought were SUV’s. How many SUV’s did UBA capital buy in the aforementioned purchase?
A person decided to build a house in 100days. He employed 100men in the beginning and 100 more after 10 days and completed the construction in stipulated time. If he had not employed the additional men , how many days behind schedule would it have been finished?
By selling a watch for Rs.400/-, a man loses 20% what is that watch cost price
The ratio of the present age of Viju to that of Aju is 7:2. Four years from now, the ratio of the ages of Viju to Aju will be 5:2. What was Viju age 10 years ago ? (RBI Assistant 2015)
Find the principle on a certain sum of money at 5% per annum for 3 years if the amount being Rs.1120?
If x and y are integers and x divided by y is 19.15, then which of the following integers is a possible value for the remainder when x is divided by y? I. 15 II. 5 III. 3
At the beginning of the year, the ratio of juniors to seniors in high school X was 5 to 6. During the year, 10 juniors and twice as many seniors transferred to another high school, while no new students joined high school X. If, at the end of the year, the ratio of juniors to seniors was 6 TO 7, how many juniors were t...
Which of the following is closer to (6!+4!)-(6!-4!)?
A sum was put a simple interest at a certain rate for 5 years. Had it been put at 2% higher rate, it would have fetched Rs. 250 more. The sum is:
The ratio of the radius of two circles is 2: 3, and then the ratio of their areas is?
If a/x = 3 and a/y = 4, then (x + y) in terms of a
Two taps can separately fill a cistern 10 minutes and 12 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
Ravi's brother is 3 years senior to him. His father was 28 years of age when his sister was born while his mother was 26 years of age when he was born. If his sister was 4 years of age when his brother was born, what were the ages of Ravi's father and mother respectively when his brother was born ?
If 40% of a certain number is 160, then what is 50% of that number?
Every student at Parcy School is in at least one of three clubs: horseback riding, embroidery, and country dancing, which are the only clubs in existence at the school. The ratio of the number of students in exactly two clubs to the number of students in exactly one club is 4:3, while the ratio of the number of student...
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 200 resolutions.
Hanks Manufacturing recently conducted a survey of its employees. The results showed that of the n people who work at the company, 1/3 drink decaffeinated coffee, and the remainder drink regular coffee. Of those who do not drink decaf, 2/5 add cream to their coffee. Which of the expressions below accurately represents ...
The average (arithmetic mean) of all scores on a certain algebra test was 90. If the average of the 8 male students’ grades was 87, and the average of the female students’ grades was 92, how many female students took the test?
If the sum of four consecutive positive integers is A, then the sum of the next four consecutive integers in terms of A is:
What is the area of a square field whose diagonal of length 12 m?
A boat goes 6 km up stream and 7 km down stream in 5 hours. It goes 3 km up stream and 6 km down stream in 3 hours. The speed of the boat in still water is:
1, 6, 16, 31, 51, (....)
(69842 x 69842 - 30158 x 30158) / (69842 - 30158) = ?
(3x−4)⋅(3x+4)=?
If x = 32 * 64 * 27 / 8, Find the tenth place of x,
If p - q = 3 and p2+q2=29 , find the value of pq.
Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.90 at the candy store. What is John’s weekly allowance?
If a and b are different positive integers and a + b = a(a + b), then which of the following must be true? I. a = 1 II. b = 1 III. a < b
Find the area of trapezium whose parallel sides are 24 cm and 14 cm long, and the distance between them is 18 cm?
The annual cost of owning and operating a car, C dollars, is a linear function of the distance, d kilometers, it is driven c = md + b The cost is $4600 for 10 000 km and $9100 for 25 000 km. (a) Determine the values of m and b. (b) Write c as a function of d.
A person incurs loss for by selling a watch for Rs1140.at what price should the watch be sold to earn a 5% profit ?
The breath of a rectangle is three - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 2025 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the length is 10 units?
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?`
A departmental store has 2 managers and 10 associates. The 2 managers have an average salary of $5000. The 10 associates have an average salary of $20000. What is the average salary for the departmental store?
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 35 min, then the slower pipe alone will be able to fill the tank in?
A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 180 m long?
A man buys s cycle for $100 and sells it at a loss of 20%. What is the selling price of the cycle?
One-third of Rahul’s savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 3,50,000 as total savings, how much has he saved in Public Provident Fund ?
In how many ways can a cricketer can score 200 runs with fours and sixes only?
What is the Mode of the following data set A- {1,2,4,6,4,9,4,10}
If a man lost 7% by selling oranges at the rate of 21 a rupee at how many a rupee must he sell them to gain 42%?
A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 7 inches wide on each side, the total area would have been (M + 264) square inches. What is the perimeter of the photograph, in inches?
Find the area of right angled triangle whose hypotenuse is 15 cm and one of the sides is 12 cm.
Six unbiased coin are tossed. What is the probability of getting atmost one head?
A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
The center of a circle is (5, -3). (5, 7) is outside the circle, and (1, -3) is inside the circle. If the radius, r, is an integer, how many possible values are there for r?
Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?
Find the number of square tiles to cover the floor of a room measuring 4 m * 9 m leaving 0.25 m space around the room. A side of square tile is given to be 25 cms? A. 425 B. 476 C. 450 D. 350
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 90 percent of the Republicans and 15 percent of the Democrats are expected to vote for Candidate X, and everyone else is expected to vote for Candidate Y, by wha...
Find the smallest number that must be added to 1780 to make it a perfect square.
In a certain football league, the only way to score is to kick a eld goal for 3 points or score a touchdown for 7 points. Thus the scores 1, 4 and 8 are not possible. How many positive scores are not possible?
There are 18 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
There is 60% increase in an amount in 6years at SI. What will be the CI of Rs. 12,000 after 3 years at the same rate?
How many three digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
Father's age is three years more than three times the son's age. After three years, father's age will be ten years more than twice the son's age. What is the father's present age?
A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 40 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the rem...
A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
In a stream running at 3 Kmph, a motor boat goes 10 Km upstream and back again to the starting point in 57 minutes. Find the speed of motor boat in still water?
Gio, the circus Elephant, is currently three times older than Lee, the circus Lion. In ten years from now, Lee the circus Lion will be exactly half as old as Gio, the circus Elephant. How old is Gio today?
The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:
Micheal and Adam can do together a piece of work in 20 days. After they have worked together for 16 days Micheal stops and Adam completes the remaining work in 10 days. In how many days Micheal complete the work separately.
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 90 km/hr. What is the length of the platform?
In how many V ways can a four-letter password be chosen, using the letters A, B, C, D, E, and/or F, such that at least one letter is repeated within the password?
The average age of a class of 39 students is 15 years. If the age of the teacher be included, then the average increases by 3 months .Find the age of the teacher.
x+(1/x) = 4 find x^2 + (1/x^2)
24 oz of juice P and 25 oz of juice Q are mixed to make smothies X and Y . The ratio of p to Q in smothie X is 4 is to 1 and that in Y is 1is to 5.How many ounces of juice P are contained in the smothie X?
The salary of a worker is first increased by 30% and afterwards reduced by 30%. What is net change in his salary?
Dhoni bought 5 toys with the average cost of $10. If David also buys the sixth toy with the price of $ 16, what is the average (arithmetic mean) price of those 6 toys?
An amount of Rs. 75000 is invested in two types of shares. The first yields an interest of 9% p.a and the second, 11% p.a. If the total interest at the end of one year is 9 3/4 %, then the amount invested in each share was?
A can do a half of certain work in 70 days and B one third of the same in 35 days. They together will do the whole work in.
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 50. What is the value of x?
Which of the following values of A satisfies the inequality? A(A – 2) = 5A – 10
In year Y imported machine tools accounted for 25 percent of total machine-tools sales in the United States, and Japanese imports accounted for 25 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine ...
The average age of an adult class is 40years. 18 new students with an avg age of 32years join the class. Therefore decreasing the average by 4year. Find what was theoriginal strength of class?
Mysoon collects glass ornaments. Ten more than 1/6 of the ornaments in her collection are handmade, and 1/2 of the handmade ornaments are antiques. If 1/3 of the ornaments in her collection are handmade antiques, how many ornaments are in her collection?
If (x +3 )^2 = 144, which of the following could be the value of 2x?