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big_math_dataset

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In the storage room of a certain bakery, the ratio of sugar to flour is 5 to 6, and the ratio of flour to baking soda is 10 to 1. If there were 60 more pounds of baking soda in the room, the ratio of flour to baking soda would be 8 to 1. How many pounds of sugar are stored in the room?
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 30%?
A farmer has 3,000 seeds which is enough for him to plant seeds every day for 50 days. After 10 days he loses some of the seeds and the remaining seeds is now enough for him to plant for the same period of 50 days as before. How many seeds did he lose?
What will come in place of the x in the following Number series? 3, 6, 12, x , 33
If 50% of x is 30 less than 25% of 1500, then x is?
$600 is divided amongst A,B and C so that A may get 2/3 as much as B and C together, B may get 6/9 as much as A and C together, then the share of A is
A sum of 14,800 amounts to 19,800 in 3 years at the rate of simple interest. What is the rate of interest?
A basket contains 8 apples, of which 1 is spoiled and the rest are good. If we select 2 apples from the basket simultaneously and at random, what is the probability that the 2 apples selected will include the spoiled apple?
A can complete a project in 20 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 5 days before the project is completed, in how many days will the project be completed?
The sum of the heights of two high-rises is x feet. If the first high rise is 37 feet taller than the second, how tall will the second high rise be after they subtract an antenna with a height of z feet to the top?
There are 12 cans in the refrigerator. 7 of them are red and 5 of them are blue. In how many ways we can remove 11 cans so that at least one red and at least one blue cans to remain the refrigerator.
What is the area of the given rectangle? I. Perimeter of the rectangle is 60 cm. II. Breadth of the rectangle is 12 cm. III. Sum of two adjacent sides is 30 cm.
How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 54 kmph?
If d + xy = d and x is not equal to 0, which of the following must be true?
In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 60 liters and they are all empty, how much money total will it cost to fuel all cars?
(1-1/n)+( 1-2/n)+(1-3/n)+…… up to n terms=?
In a fraction, if numerator is added by 2 and denominator by 1 it results 1, and if numerator added again by 4 and denominator by 2 it results 1/2. Find the fraction?
LCM of two numbers is 7700 and HCF is 11. If one number is 308 then other number is
There are two numbers whose sum is 72. One number is twice the other. What are the numbers?
In a certain brick wall, each row of bricks above the bottom row contains one less brick than the row just below it. If there are 5 rows in all and a total of 100 bricks in the wall, how many bricks does the bottom row contain ?
In track last week, the boys ran 15 laps. The girls ran 5 more laps. Each lap is a one-fifth of a mile. How many miles did the girls run?
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age five years back was?
P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?
3*14 + 3*15 + 3*18 + 11 = ?
A man can row upstream at 25 kmph and downstream at 37 kmph, and then find the speed of the man in still water?
A number exceeds 20% of itself by 40. The number is
Calculate the time it will take for a train that is 120 meter long to pass a bridge of 160 meter length, if the speed of the train is 40 km/hour ?
The least value of expression 2log10 x - logx (1/100) for x>1 is:
A person covered one-fourth of the total distance at 22 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
24 oz of juice P and 25 oz of juice E are mixed to make smothies X and Y . The ratio of p to E 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?
Rich has 3 green, 2 red and 3 blue balls in a bag. He randomly picks 5 from the bag without replacement. What is the probability T that of the 5 drawn balls, Rich has picked 1 red, 2 green, and 2 blue balls?
How many different subsets of the set {10, 14, 13, 24} are there that contain an odd number of elements?
Working alone at their respective constant rates, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 2 days at a time. If A starts they finish the task in exactly 12 days. If B starts, they take half a day more. How long does it take to complete the task if they bot...
How many possible positive integer values are there for k if -24 < 9k – 6 ≤ 3?
hree number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:
John started a business, investing Rs.18000. After 3 months and 4 months respectively, Rose and Tom joined him with capitals of 12000 and 9000. At the end of the year the total profit was Rs.4125. What is the difference between Rose ’s and Tom ’s share in the profit?
By travelling at 80 kmph, a person reaches his destination on time. He covered two-third the total distance in one-third of the total time. What speed should he maintain for the remaining distance to reach his destination on time?
On a particular mathematics exam, the student has 5 answers to choose from. If the student guesses at the answers, the probability of the student getting a correct answer on each question is 1/5. What is the least number of times that the student should guess in order to take the probability of getting a correct answer...
Alex and Brenda both stand at point X. Alex begins to walk away from Brenda in a straight line at a rate of 8 miles per hour. One hour later, Brenda begins to ride a bicycle in a straight line in the opposite direction at a rate of R miles per hour. If R > 8, which of the following represents the amount of time, in ter...
The ratio between the presents of the A and B is 2:3. If B is 5 years older than A, what will be the ratio of the ages of A and B after 5 years?
If a randomly selected non-negative single digit integer is added to {2, 3, 6, 8}. What is the probability that the median of the set will increase but the range still remains the same?
A cubic object 3'' x 3'' x 3'' is painted blue on all the outside surfaces, including the top and bottom. If the cube is cut into 27 cubes of 1'' x 1'' x 1'' , how many 1" cubes do have any painted surfaces?
Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?
If x is a sum of all even integers on the interval 13...55 and y is their number, what is the GCD (x, y)?
If one-third of one-fourth of a number is 15, then three-tenth of that number is:
A bullet train leaves Kyoto for Tokyo traveling 240 miles per hour at 12 noon. Ten minutes later, a train leaves Tokyo for Kyoto traveling 160 miles per hour. If Tokyo and Kyoto are 380 miles apart, at what time will the trains pass each other?
On taking delivery of a consignment of eggs the market stall owner was furious to find that several were cracked. In fact, on counting them up in order to assess the damage he found that 72 were cracked, which was 12 percent of the total consignment. How many eggs in total were in the consignment?
A man walks at certain place and rides back in 10 hours. He could ride both ways in 8 hours. The time taken by him to walk both ways?
In Arun's opinion, his weight is greater than 66 kg but leas than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 69 kg. If all of them are correct in their estimation, what is the average...
A train running at the speed of 60 km/hr crosses a pole in 15 sec. What is the length of the train?
For integers x, y, and z, if (3^x) (4^y) (5^z) = 838,860,800,000 and x + y + z = 19, what is the value of xy/z?
The average (arithmetic mean) of 16 students first quiz scores in a difficult English class is 60.5. When one student dropped the class, the average of the remaining scores increased to 64.0. What is the quiz score of the student who dropped the class?
At the beginning of 2011, Company X created a list of n charities, and committed to donating 10% of its prots for the year to these charities, donating an equal amount to each charity. However, during the year, Company X removed a charities from this list, and donated 10% of its prot in equal amounts to each of the rem...
8 points are marked on a straight line and another 9 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points?
When Greenville State University decided to move its fine arts collection to a new library, it had to package the collection in 20-inch by 20-inch by 15-inch boxes. If the university pays $0.50 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the...
The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 14 cm each. The radius of the sphere is
A train 110 m long is running with a speed of 36 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?
A student chose a number, multiplied it by 2, then subtracted 138 from the result and got 106. What was the number he chose?
In a camp, there is a meal for 160 men or 220 children. If 160 children have taken the meal, how many men will be catered to with remaining meal?
2 friends A n B running up hill and then to get down length of road 440 yads A on his return journey met B going up at 20 yards from top if A has finished race 5 minute earlier than B then how much time A had taken to complete the race ?
Wilson can eat 25 marshmallows is 20 minutes. Dylan can eat 25 in one hour. In how much time will the two eat 150 marshmallows?
City A and City B are 140 miles apart. Train C departs City A, heading towards City B, at 4:00 and travels at 40 miles per hour. Train D departs City B, heading towards City A, at 5:00 and travels at 20 miles per hour. The trains travel on parallel tracks. At what time do the two trains meet?
A sports equipment store sold ping pong rackets for a total of $735. If the average (arithmetic mean) price of a pair of rackets is $9.8, how many pairs were sold?
Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 11 different shirts, 10 different pairs of jeans, and 8 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?
Lucy deposited $62500 in an investment fund that provided 20 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in months, did her investment earn a total interest of $5100?
The amount of electrical current that flows through a wire is inversely proportional to the resistance in that wire. A wire originally carries 4 amperes of electrical current. Then the resistance is reduced to one-fourth of its original value. How many amperes of electrical current will flow through the wire?
The average marks obtained by 120 cndidates in a certainexaminationis 35.if the average marks of passed candidate is 39 and that of the failedcandidates is 15,what is the number of candidates who passed the examination
In a division sum, the divisor is 12 times the quotient and 6 times the remainder. If the remainder is 24, what is the divident?
What is the minimum number of square marbles required to tile a floor of length 3 metres 39cm and width 2 metres 26 cm?
In how many different number of ways 5 men and 2 girls can sit on a shopa which can accommodate persons?
In how many different ways can the letters of the word ‘ARMOUM’ be arranged?
Three pounds of 05 grass seed contain 5 percent herbicide. A different type of grass seed, 20, which contains 20 percent herbicide, will be mixed with three pounds of 05 grass seed. How much grass seed of type 20 should be added to the three pounds of 05 grass seed so that the mixture contains 15 percent herbicide?
Machine–X produces 50% of the total output and Machine-Y produces 75% of the total output. An average of 16 units out of a thousand goods manufactured by Machine-X and 3 unit of 500 units produced by Machine-X prove to be defective. What is the probability that a unit chosen at random from the total daily output of the...
One side of a rectangular field is 15 m and one of its diagonals is 17 m. Find the area of the field.
6 points are marked on a straight line and another 8 points are marked on a second straight line with no points in common. How many triangles can be constructed with vertices from among the above points?
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12400 after a year?
I. c^2 - 9c + 20 = 0, II. 2d^2 - 5d- 12 = 0 to solve both the equations to find the values of c and d?
From the word 'CARRIAGE', how many independent words can be made with-out changing the order of the letters and using each letter only once ?
The value of a machine depreciates at 23% per annum. If its present value is $1,50,000, at what price should it be sold after two years such that a profit of $24,000 is made?
A train travels from New York to Chicago, a distance of approximately 480 miles, at an average rate of 40 miles per hour and arrives in Chicago at 6:00 in evening, Chicago time. At what hour in the morning, New York time, did the train depart for Chicago? (Note : Chicago time is one hour earlier than New York time)
What is the remainder when 9^1 + 9^2 + 9^3 +...+ 9^9 is divided by 9?
A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?
A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number ?
Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 17 times as heavy as water?
In what time will the simple interest be 2/5 of the principal at 8 per cent per annum?
A student needed to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What is the value of x?
The Pinedale bus line travels at an average speed of 60 km/h, and has stops every 5 minutes along its route. Yahya wants to go from his house to the Pinedale Mall, which is 9 stops away. How far away, in kilometers, is Pinedale Mall away from Yahya's house?
In a certain alphabet, 20 letters contain a dot and a straight line. 36 letters contain a straight line but do not contain a dot. If that alphabet has 60 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?
Choose the missing terms out of the given alternatives. JE, LH, OL, SQ, ?
The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
A bag contains 40 black balls and 50 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
The owner of a furniture shop charges his customer 20% more than the cost price. If a customer paid Rs. 3600 for a computer table, then what was the cost price of the computer table?
It takes John 5 minutes to walk to the car park and 45 to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.?
A man purchased a grinder for Rs. 420 and sold it at a profit of 10%. The selling price is:
A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
A person covered one-fourth of the total distance at 26 kmph and remaining distance at 24 kmph. What is the average speed for the total distance?
How many odd integers from 1 to 100 (both inclusive) have odd number of factors?
At the faculty of Aerospace Engineering, 302 students study Random-processing methods, 232 students study Scramjet rocket engines and 112 students study them both. If every student in the faculty has to study one of the two subjects, how many students are there in the faculty of Aerospace Engineering?
20 beavers, working together in a constant pace, can build a dam in 18 hours. How many hours will it take 12 beavers that work at the same pace, to build the same dam?
An Office used three types of envelopes: small,medium and large. They used 80 small envelopes. The no.of Medium envelopes used was 5 times, the no.of small envelopes plus 5/20 of the number of envelopes. The no.of.large envelopes was equals to the no.of small envelopes plus 5/20 of the no.of medium envelope. Altogether...