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big_math_dataset

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The avearge score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 40. Then find the average for the last four matches?
Three hundred students at College Q study a foreign language. Of these, 110 of those students study French, and 170 study Spanish. If at least 90 students who study a foreign language at College Q study neither French nor Spanish, then the number of students who study Spanish but not French could be any number from
In an entrance test, Deepika came across a mathematical patter problem. If 6 / 7 = 2 3 / 9 = 7 8 / 2 = 6 Then 4 / 5 = ? She was able to solve it in less than a minute. Can you?
The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is
There are 145 bananas lying in a shop which is to be divided equally among 12 candidates. Find the extra number of bananas lying with the shop owner after distribution.
The ratio of male to female in a class is 2:4. the career preference of the students in the class are to be represented in a circle graph. If the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference, how many degrees of the circle should b...
If A speaks the truth 55% of the times, B speaks the truth 60% of the times. What is the probability that they tell the truth at the same time
The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4 ?
The speeds of 3 cars in the ratio 5:4:6. The ratio between time taken by them to travel the same distance is?
If A and B are two prime numbers bigger than 2, which of the following can be true? (1) A + B is an even number. (2) A - B is also a Even number. (3) A^B is also a prime number
What is the sum of the different positive prime factors of 630?
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).
In how many ways can 10 engineers and 4 doctors be seated at a round table if all the 4 doctors do not sit together?
A pipe can fill a tank in 16 hours. Due to a leak in the bottom,it is filled in 24 hours. If the tank is full, how much time will the leak take to empty it ?
In how many different ways can 3 physics, 2 math, and 3 chemistry books be arranged in a row so that all books of the same subject are together?
(11^2+12^2+13^2+......+20^2)=?
Which of the following numbers is the number 2 not a prime factor?
If 36 men can do a piece of work in 25 hours, in how many hours will 14 men do it ?
If $ 5,000 is invested in an account that earns 16% interest compounded semi-annually, then the interest earned after one year would be how much greater than if the $ 5,000 had been invested at 8% simple yearly interest?
Consider below info to be a table: AMOUNT OF BACTERIA TIME - AMOUNT 1PM - 10gms 4PM - x gms 7PM - 16.9 gms Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same factor during each of the two 3-hour periods shown, how many grams of bacteria were prese...
If a discount of 16% is given on the marked price of a book, the publisher gains 20%. If the discount is increased to 20% the gain percent is
In a match in team X, 3% candidates got selected from the total appeared candidates. team X had an equal number of candidates appeared and 12% candidates got selected with 27 more candidates got selected than ream x. what was the number of candidates appeared from each team?
In a college the ratio of the numbers of boys to the girls is 8:5. If there are 175 girls, the total number of students in the college is?
16.02 × 0.1 = ?
The maximum numbers of students among them 781 pens and 710 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is
R is the set of positive even integers less than 51, and S is the set of the squares of the integers in R. How many elements does the intersection of R and S contain ?
If 6x = 10y = 14z, then what is a possible sum of positive integers x, y, and z?
In an examination 30% failed in Math and 70% failed in French. If 20% failed in both. What % of students passed in both.
In a can, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5. Find the capacity of the can?
Winchard's average (arithmetic mean) test score on 4 tests is 78. What must be the student's score on a 5th test for the Winchard's average score on the 5 tests to be 80?
Should a total ban be put on traping wild animals? Arguments: 1. Yes. Trappers are making a lot of money 2. No. Bans on hunting and trapping are not effective
In one hour, a boat goes 11 km along the stream and 5 km against the stream. the sped of the boat in still water (in km/hr) is :
Find the odd man out. 13, 16, 12, 24, 12, 34, 46
the two sides of a triangle are 32 and 68. the area is 960 sq.cm. find the third side of triangle?
The ratio between the perimeter and the width of a rectangle is 5:1. If the area of the rectangle is 54 square centimeters, what is the length of the rectangle in centimeters?
Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern?
The grade point average of the entire class is 85. If the average of one third of the class is 97, what is the average of the rest of the class?
The radius of a cylindrical vessel is 7cm and height is 3cm. Find the whole surface of the cylinder?
A and B starts a business with Rs.8000 each, and after 8 months, B withdraws half of his capital . How should they share the profits at the end of the 10 months?
A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 40 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost?
A real number x satisfying 1- (1/n) ≤ 3 + (1/n), for every positive integer n, is best described by ≤
Two locomotives are moving in the same direction at 62 mps and 26 mps. The faster train crosses the slower train in 8 seconds. What is the length of the faster train in meters?
In a six-sided polygon CQRSTV ∠C measures 48° less than the average (arithmetic mean) of the remaining five angles. What does ∠C equal to, in degrees?
There are 3 sections with 5 questions each. If three questions are selected from each section, the chance of getting different questions is________
An investor can sell her MicroTron stock for 36$ per share and her Dynaco stock for 48$ per share, If she sells 300 shares altogether, some of each stock, at an average price per share of 40$, how many shares of Dynaco stock has she sold?
Two taps can separately fill a cistern 10 minutes and 15 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?
The triplicate ratio of 1:2 is?
The number of sequences in which 5 players can throw a ball, so that the youngest player may not be the last is ?
If x is an integer, which of the following must also be an integer? I. xy II. y/x III. y
If x^2 – 2y^2 = 2xy, then (x - y)^2 =
If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
if 21=3 32=7 82=22 92=25 than 72=?
A van takes 6 hours to cover a distance of 180 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Three independent strategies A, B and C have been initiated for cost cutting in a company producing respectively 20%, 40% and 10% savings. Assuming that they operate independently, what is the net saving achieved?
You collect baseball cards. Suppose you start out with 16. Since you're nice, you give John 5 baseball cards. How many baseball cards do you have at the end?
A train passes a station platform in 36 seconds and a man standing on the platform in 10 seconds. If the speed of the train is 36 km/hr, what is the length of the platform?
In how many ways can the letters of the word INTELLIGENCE be arranged?
A certain list of 300 test scores has an arithmetic mean of 70 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 302 test scores with a standard deviation less than d?
A windmill is taking advantage of strong air currents in order to produce electrical energy. On a typical day the wind speed is around 20 mph and in that speed the windmill produces 400 kw/h (kilowatts per hour). On a stormy day a windmill produces 20% more energy. How much kw/h can three windmills produce in two hours...
Mike had 200 watermelons. Sally came over and took some. After Sally left mike had 136 watermelons. How many watermelons did Sally take?
You have a pair of unbiased dices. You throw them together till you get a sum of 4 or 7. What is the probability that you get a sum of 4 before the sum of 7?
How many 3 digit positive integers T exist that when divided by 7 leave a remainder of 5?
A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?
A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 30 percent of the drive from the center, what percent of the round-trip has the technician completed?
A shopkeeper sold 15 articles at the cost price of 20 articles. Then find the profit% or lost%
the stock price of xyz inc. has suffered a decline of 18% in the last 6 months. Financial Analysts believe that the shares will bounce back and gain 5% in the next 3 months. this gain will bring the share value to $700. What was the approximate price of the stock 6 months ago?
The number of permutations of the letters of the word 'MESMERISE' is?
The mean age of john,william,sam and katy is 25.the age of jhon is 22,age of sam is 30 and age of katy is 24.then tell me the age of william.
Q-1) Of the 64 parents who attended a meeting at a school, 35 volunteered to supervise children during the school picnic and 11 volunteered both to supervise children during the picnic and to bring refreshments to the picnic. If the number of parents who volunteered to bring refreshments was 1.5 times the number of par...
A customer pays 70 dollars for a coffee maker after a discount of 20 dollars What is the original price of the coffe maker?
Fresh grapes contain 70% by weight while dried grapes contain 10% water by weight. What is the weight of dry grapes available from 100 kg of fresh grapes?
The area of a triangle is with base 2m and height3m?
It costs $6 for the first 1/4 hour to use the copier at Kinkos. After the first ¼ hour it costs $8 per hour. If a certain customer uses the copier for 4 hours and 25 minutes, how much will it cost him?
A merchant purchased a jacket for $56 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 30 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale?
An order was placed for a carpet whose length and width were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and width were in the ratio 2 : 1 but were was no change in its perimeter. What is the ratio of the areas of the carpets?
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
Sum of the squares of 3 no. is 149 and the sum of their products taken two at a time is 70. Find the sum?
A wheel that has 8 cogs is meshed with a larger wheel of 16 cogs. When the smaller wheel has made 24 revolutions, then the number of revolutions mad by the larger wheel is:
Gopi gives Rs. 90 plus one turban as salary to his servant for one year. The servant leaves after 9 months and receives Rs. 40 and the turban. Find the price of the turban.
If AB=3, BC=6, CD=7 and DE=9, what are the coordinates of point E in the figure above? A. B. C. D. E.
Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
If x and y are integers, what is the least positive number of 24x+16y?
A certain company reported that the revenue on sales increased 15 % from 2000 to 2003, and increased 30 % from 2000 to 2005. What was the approximate percent increase in revenue for this store from 2003 to 2005?
What is the greatest prime factor of 1+2+3+。。。+70?
A canoe has two oars, left and right. Each oar either works or breaks. The failure or non-failure of each oar is independent of the failure or non-failure of the other. You can still row the canoe with one oar. The probability that the left oar works is 3/5. The probability that the right oar works is also 3/5. What is...
How many three digit numbers can be formed using the digits {1, 3, 4, 5, 7,8, 9}(repetition of digits is not allowed)?
For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 90 units raises the average to 58 units per day, what is the value of n ?
A certain auto manufacturer sold 4% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.4 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
A customer pays 30 dollars for a coffee maker after a discount of 20 dollars What is the original price of the coffe maker?
Which number need to add to 859622 to get a number exactly divisible by 456?
In a dairy farm, 20 cows eat 20 bags of husk in 20 days. In how many days one cow will eat one bag of husk?
A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work?
Two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line. For instance, 3 and 7 rhyme around 5. What integer W between 1 and 20, inclusive, has the greatest number of distinct rhyming primes around it?
The average of first five prime numbers greater than 20 is?
An eccentric casino owner decides that his casino should only use chips in $4 and $7 denominations. Which of the following amount cannot be paid out using these chips?
On a two-dimensional coordinate plane, the line q = x^2 - x^3 touches the x-axis in how many places?
A train running at the speed of 60 km/hr crosses a pole in 18 sec. What is the length of the train?
There are 5,260 feet in 1 mile and 12 inches in one foot. How many inches are in a mile?
The annual interest rate earned by an investment increased by 10 percent from last year to this year. If the annual interest rate earned by the investment this year was 12.5 percent, what was the annual interest rate last year?
If (c-5)(y+2) = 0 which of the following must be true?