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big_math_dataset

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A train 300 m long, running with a speed of 54 km/hr will pass a tree in?
A fort of 3000 soldiers has provisions for 75 days. After 15 days some of them left and the food was now enough for the same period of 75 days as before. How many of them left?
P can do a certain work in 9 days. Q is 60% more efficient than P. How many days does Q alone take to do the same job?
The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 26,000 is made?
The L.C.M. of two numbers is 60. The numbers are in the ratio 2 : 3. Then sum of the number is:
If n is an integer, f(n) = f(n-1) - n and f(4)=13. What is the value of f(6)?
The sum of the present ages of a father and his son is 57 years. Six years ago, father's age was four times the age of the son. After 6 years, son's age will be:
Hari and Giri started a business by investing Rs.45000 and Rs.54000 respectively. What is the share of Giri out of annual profit of Rs.13200 ?
If mno < 0 and no > 0, which of the following must be positive?
The points A(0, 0), B(0, 4a - 2) and C(2a + 1, 2a + 6) form a triangle. If angle ABC = 90, what is the area of triangle ABC?
On increasing the price of T.V. sets by 60%, their sale decreases by 20%. What is the effect on the revenue receipts of the shop ?
A box contains SEVEN bulbs out of which 3 are defective. If THREE bulbs are chosen at random, find the probability that atleast one bulb is good?
A sum of money becomes double itself in 8 years at simple interest. How many times will it become 10 years at the same rate?
Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is
A watch passes through three hands and each person gains 25%. If the third person sells it for $312.50, what did the first person pay for it?
Eight identical machines can produce 360 aluminum cans per hour. If all of the machines work at the same constant rate, how many cans could 5 such machines produce in 6 hours?
A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
A number is doubled and 9 is added. If resultant is trebled, it becomes 51. What is that number
8 years ago there were 5 members in the Arthur's family and then the average age of the family was 36 years. Mean while Arthur got married and gave birth to a child. Still the average age of his family is same now. What is the age of his wife at the time of his child's birth was.If the difference between the age of her...
What percent of a day is 8 hours?
A new savings account offers 7 percent annual interest compounded every 6 months. What would be the total balance in an account after 1 year, if the initial amount in the account were $6000?
One used-car salesperson receives a commission of $ 600 plus 4 percent of $ 1,000 less than the car’s final sale price. Another car salesperson earns a straight commission of 6 percent of the car’s final sale price. What is the final sale price of a car if both salespeople would earn the same commission for selling it?
In how many ways can the letters C, A, A, R, W, A be arranged so that the three A's are not next to each other?
Which of the following is NOT a prime number?
If 4 men working 10 hours a day earn Rs. 600 per week, then 9 men working 6 hours a day will earn how much per week?
A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital . How should they share the profits at the end of the 18 months?
Two vertical ladders length of 6 m and 11 m are kept vertically at a distance of 12 m. Find the top distance of both ladders?
judith is practicing her dance steps along with her friends. In a particular sequence, all of them form a row. At that point, judithis standing on the 7th position from either end of the row. Can you find out how many girls are practicing together?
If a shoppkepper has two type of rice. One at Rs 50/- and another at Rs 80/- . He mixed the rice at 2:1 ratio. Find the average price of the mixture.
The sides of a triangle are in the ratio 5: 12: 13 and its perimeter is 480 m, its area is?
Peter and Paul are two friends. The sum of their ages is 35 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the present age of Peter?
Tom wants to buy items costing $25.35, $80.69, and $85.96. He earns $6.50 an hour doing odd jobs. If ten percent of his income is put aside for other purposes, how many hours must he work to earn the money he needs for his purchases? Round your answer to the nearest whole hour.
If a number p is prime, and 2p+4 = q, where q is also prime, then the decimal expansion of 1/q will produce a decimal with q-1 digits. If this method produces a decimal with 166 digits, what is the units digit of the product of p and q?
The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers?
If A got 60 marks and B got 30 marks, then what percent of A's mark is B's mark?
The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
How many 6 letter words ( with or without meaning) can be formed using all the following 5 letters U,P,Q,R,S,and T so that letter P is to the left of letter R?
A train after traveling 50 kms from A meets with an accident and proceeds at 4/5th of the former speed and reaches B, 45 min late. Had the accident happened 20 kms further on, it would have arrived 12 mins sooner. Find the original speed and the distance.
How long does a train 110 m long traveling at 36 kmph takes to cross a bridge of 170 m in length?
A bag contains 26 purple jellybeans, 15 green jellybeans, and 9 yellow jellybeans; these jellybeans are the only items in the bag. If a person reaches into the bag and picks out only purple jellybeans, how many jellybeans would the person have to pick out in order to double the probability that a jellybean picked out o...
Carmelo and LeBron participate in a nine-person footrace on the basketball court during All-Star Weekend. If all nine contestants finish (including Charles Barkley) and there are no ties, how many different arrangements of finishes are there in which Carmelo defeats LeBron?
A paint crew gets a rush order to paint 80 houses in a new development. They paint the first y houses at a rate of x houses per week. Realizing that they'll be late at this rate, they bring in some more painters and paint the rest of the houses at the rate of 1.25x houses per week. The total time E it takes them to pai...
A rectangular block 12cm by 36cm by 60cm is cut into an exact number of equal cubes. Find the least possible number of cubes?
In a market, a dozen eggs cost as much as a pound of rice, and a half-liter of kerosene costs as much as 8 eggs. If the cost of each pound of rice is $0.33, then how many R cents does a liter of kerosene cost? [One dollar has 100 cents.]
In year Y imported machine tools accounted for 70 percent of total machine-tools sales in the United States, and Japanese imports accounted for 50 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 parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square?
A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A.
For a right angle triangle the hypotenuse is 5 and base is 3. What is the area of the triangle?
A fair sided die labeled 1 to 6 is tossed two times. What is the probability the product of the two value is 1
Find the mean proportional between 81 & 100?
A small college reduced its faculty by approximately 15 percent to 195 professors. What was the original number of faculty members?
Jacob brought a scooter for a certain sum of money. He spent 10% of the cost on repairs and sold the scooter for a profit of Rs. 1100. How much did he spend on repairs if he made a profit of 20%?
A clock is started at noon. By 10 minutes past 4, the hour hand has turned through how many degrees?
Before leaving for his business trip, Chad asks his assistant to choose and pack six shirts from his closet, which currently contains eight shirts. If each shirt is a different color, including one blue shirt and one pink shirt, and the assistant chooses the shirts at random, what is the probability that the pink shirt...
Find the value of (2 − 1/3) (1 − 1/4)(1 − 1/5)……… (1 − 1/99)(1 − 1/100)
At wipro 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?
A grocer has a sale of Rs. 5435, Rs. 5927, Rs. 5855, Rs. 6230 and Rs. 5562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 5500?
If x lies in the range (-1,0) then which of the following statements must be true?
The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is?
The perimeter of one square is 48 cm and that of another is 36 cm. Find the perimeter and the diagonal of a square which is equal in area to these two combined?
Suppose son name is 120,his brother name is 150 and his mother name is 170.find out his father's name???
A grocer has 400 pounds of coffee in stock, 25 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated, what percent, by weight, of the grocer’s stock of coffee is decaffeinated?
A solution contains 8 parts of water for every 7 parts of Lemonade syrup. How many parts of the solution should be removed and replaced with water so that the solution will now contain 40% lemonade syrup?
The Carson family will purchase three used cars. There are two models of cars available, Model A and Model B, each of which is available in five colors: blue, black, red, and green. How many different combinations of three cars can the Carsons select if all the cars are to be different colors?
The weights of one liter vegetable ghee packet of two brands ‘A’ and ‘B’ are 800 gm and 850 gm respectively. If they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 3 liters, what is the weight (in kg) of the mixture?
Little John had $8.50. He spent $1.25 on sweets and gave to his two friends $1.20 and $2.20. How much money was left?
A make a wall in 9 hour. B makes a wall in 10 hour. When doing together 10 more bricks are required and together make a wall in 5 hour. How many bricks r there in the wall?
The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours?
The heights of a wall is six times its width and the length of the wall is seven times its height. If volume of the wall be 16128 cu .m, its width is
A bag contains 4 blue, 5 white and 6 green balls. Two balls are drawn at random. What is the probability that one ball is white?
A number when divided by a certain divisor left remainder 241, when twice the number was divided by the same divisor, the remainder was 102. Find the divisor?
A train running at the speed of 60 km/hr crosses a pole in 6 seconds. Find the length of the train.
Bradley owns b video game cartridges. If Bradley’s total is two-thirds the total owned by Andrew and five times the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
At a certain conference, 52% of the attendees registered at least two weeks in advance and paid their conference fee in full. If 30% of the attendees who paid their conference fee in full did not register at least two weeks in advance, what percent of conference attendees registered at least two weeks in advance?
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 21 seconds. The ratio of their speeds is?
The average of eleven ten prime numbers which are odd is?
The pilot of a small aircraft with a 40-gallon fuel tank wants to fly to Cleveland, which is 480 miles away. The pilot recognizes that the current engine, which can fly only 5 miles per gallon, will not get him there. By how many miles per gallon must the aircraft’s fuel efficiency be improved to make the flight to Cle...
A certain school principal must choose 5 students to attend a field trip out of a group of 8 students. In addition, out of the 5 chosen students, the principal must select a note-taker and a treasurer. How many different ways are there for the principal to select the 5 students and then select the treasurer and the not...
Dan has a total of 12 bill in his wallet. Some are $5 bills and the rest are $10 bills. The total value of the 12 bills is $115. How many $5 bills and how many $10 bills does he have?
What sum of money will produce Rs.210 as simple interest in 4 years at 3 1/2 percent?
The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers ?
A single discount equivalent to the discount series of 30%, 10% and 5% is?
A man can row upstream at 5kmph and downstream at 15kmph. Find man's rate in still water ?
Two numbers are in the ratio 2 : 3. If eight is added to both the numbers, the ratio becomes 3 : 4. The numbers are ?
Employees at a company will vote for an executive team of five people from eight qualified candidates. The executive team consists of a president, a treasurer, and three warrant officers. If an executive team is considered different if any of the same people hold different offices, then how many possible executive team...
If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
A batsman scored 60 runs which included 2 boundaries and 2 sixes. What percent of his total score did he make by running between the wickets.
The product of two numbers is 2028 and their H.C.F is 13. The number of such pairs is:
Fom the integer n, if n*n*n is odd, then what is true from below options?
The area of a rectangular plot is 23 times its breadth. If the difference between the length and the breadth is 10 metres, what is its breadth?
10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs. 170000, find the cost of a camel?
A gang of 8 boys goes on an tour in 2 cars, of which 1 canseat 5 & the other only 4. In how many ways can they travel?
A composer’s guild is planning its spring concert, and twelve pieces have been submitted for consideration. The director of the guild knows that they will only have time to present eight of them. If the pieces can be played in any order, how many combinations of pieces are possible?
The no. of gift pack bought by Dexter is 1 more than the price, in rupees, of each gift pack. The amount of Rs.380 which Dexter had, fell short of the required amount. What is theamount by which he might have fallen short.
The simple interest accrued on an amount of Rs.49500 at he end of three is Rs.17820. What would be the compound interest accured on the same amount at teh same rate in the same period? (Round off your answer to two decimal places)?
An art gallery has only paintings and sculptures. Currently, 1/3 of the pieces of art are displayed, and 1/6 of the pieces on display are sculptures. If 1/3 of the pieces not on display are paintings, and 400 sculptures are not on display, how many pieces of art does the gallery have?
The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is?
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
There is a work which can be completed by A with 12 days and B by 18 days. A and B works together for 3 days and B left. After that how many days for A to complete the work?
What will be the value of a+b , if |ab|=1 and a=b/a?