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big_math_dataset

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Three coworkers P , E , R meet for Dinner. P had 5 sandwiches, E had 3 and R had none. Both PE share their sandwiches with R such that each one got the same amount. If R paid $ 8 to PE, how much of $ 8 should P get? Assume both sandwiches and Dollars can be split.
The length of a rectangle is halved, while its breadth is tripled. Watis the % change in area?
Q:Robert purchased $3500 worth of US saving bonds. If bonds are sold in $50 or $100 denominations only, which of the following CANNOT be the number of US saving bonds that Robert purchased?
24 men working 8 hours a day can finish a work in 10 days. Working at the rate of 10 hours a day, the number of men required to finish the same work in 6 days is
A polygon has 104 diagonals. How many sides does it have? Self made
2525 * 9
what will come after 1,3,9,31,129
Two integers are in the ratio of 1 to 3. If 10 is added to the smaller number, the ratio becomes 2 to 1. Find the larger integer.
7^6n -1^ 6n When n is an integer > 0 is divisible by
Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
The “length of integer x” refers to the number of prime factors, not necessarily distinct, that x has. (If x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5.) What is the greatest possible length of integer z if z < 1,000?
Mona and Sona go around a circular track of length 400 m on a bike at speeds of 18 kmph and 36 kmph. After how much time will they meet for the first time at the starting point?
A walks around a circular field at the rate of one round per hour while B runs around it at the rate of five rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other after___ minutes?
If -4 < x < 7 and -7 < y < 3, which of the following specifies all the possible values of xy?
Find the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year?
If n is a natural number, then (6n^2 + 6n) is always divisible by?
Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $396 per week. How much does she earn in dollars per hour?
If population of certain city increases at the rate of 5%. If population in 1981 was 15000, then population in 1980 was?
A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is?
Find the value of (X) in the given equation ? 35% of 1500 + X = 45% of 4200 – 320
A is 50% as efficient as B. C does half the work done by A & B together. If C alone does the work in 40 days, then A, B and C together can do the work in how many days?
The average of five consecutive odd numbers is 61. What is the difference between the highest and the lowest number?
Robert can row a boat at 15 kmph in still water. If the speed of the stream is 4 kmph, what is the time taken to row a distance of 80 km downstream?
At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $65,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
The S.I. on a certain sum of money for 2 years at 6% per annum is half the C.I. on Rs. 4000 for 2 years at 10% per annum. The sum placed on S.I. is?
If s and t are positive integers, st + s + t cannot be
A certain candy manufacturer reduced the weight of Candy Bar M by 5 percent buy left the price unchanged. What was the resulting percent increase in the price per ounce of Candy Bar M?
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
A number x is 12 times another number y. The percentage that y is less than x is
At a local beach, the ratio of little dogs to average dogs to enormous dogs is 3:8:9. Late in the afternoon, the ratio of little dogs to average dogs doubles and the ratio of little dogs to enormous dogs increases. If the new percentage of little dogs and the new percentage of average dogs are both integers and there are fewer than 30 total dogs at the beach, which of the following represents a possible new percentage of enormous dogs?
A man can reach certain place in 10hours. If he reduces his speed by 1/5th, he goes 10km less in time. Find his speed?
Shreyas bought an article and sold it for 105% of its cost price. What was the cost price of the article, if Shreyas sold it for Rs.42000/-?
If the product 4864 x 9 P 2 is divisible by 12, then the value of P is:
The average of 11 numbers is 11. 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
(2^2-1)(2^2+1)(2^4+1)(2^9+1)=
120 is what percent of 50 ?
If x^2=3x+1, then x^3 = ?
A reduction of 20% in the price of oil enables a house wife to obtain 10 kgs more for Rs.1500, what is the reduced price for kg?
The average number of shirts with Salman, Ambani and Dalmiya is 40, if all of them reached a shopping mall in Delhi and purchased 14 shirts each of them then average number of shirt each of them now has
The average weight of A, B and C is 60 kg. If the average weight of A and B be 70 kg and that of B and C be 50 kg, then the weight of B is:
If the perimeter of a rectangular garden is 600 m, its length when its breadth is 100 m is?
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 14 years and that for 18 years?
264, 396, 462, 792, 968, 2178, 5184, 6336? How many of the following numbers are divisible by 132 ?
Out of a classroom of 3 boys and 8 girls, the teacher randomly chooses a president for the student board, a vice president, and a secretary. What is the probability that only girls will be selected for all three positions?
Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 14 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the total time it takes Maxwell before he meets up with Brad?
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is?
40% of the employees in a factory are workers. All the remaining employees are executives. The annual income of each worker is Rs. 390. The annual income of each executive is Rs. 420. What is the average annual income of all the employees in the factory together?
A highway is to be divided into 3 lanes. For this purpose, two yellow stripes are painted so that stripes divide the highway into 3 lanes. If 3 gallons of paint cover an area of 4P square feet of highway, how many gallons of paint are needed to paint two stripes x inches wide on a stretch of highway m miles long? (1 mile = 5280 feet and 1 feet = 12 inches)
WHEN A PERSON SELLS TWO ITEMS $800 each, ONE AT A GAIN OF 20% AND OTHER AT A LOSS OF 20%.THEN THE SELLER INCURES A LOSS OR GAIN OF:
1500 men have provisions for 17 days. If 320 more men join them, for how many days will the provisions last now?
Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan?
Out of 5 consonants and 3 vowels, how many words of 3 consonants and 2 vowels can be formed?
In 1992 a total of 550 earthquakes occurred worldwide, some but not all of which occurred in Asia. If 150 of these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?
Each month a retailer sells 100 identical items. On each item he makes a profit of $40 that constitutes 10% of the item's price to the retailer. If the retailer contemplates giving a 5% discount on the items he sells, what is the least number of items he will have to sell each month to justify the policy of the discount?
A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?
The radii of two cones are in the ratio 2:1, their volumes are equal. Find the ratio of their heights.
If a card is drawn from a shuffled deck of cards, what is the probability of drawing a red card or a 9?
The closest approximation of D(69.28 × 0.004)/0.03 is
Company C sells a line of 25 products with an average retail price of $1,000. If none of these products sells for less than $400, and exactly 10 of the products sell for less than $1,000, what is the greatest possible selling price of the most expensive product?
How many integers between 324,700 and 448,600 have tens digit 1 and units digit 3?
The greatest possible length which can be used to measure exactly the length 5m ,7m 25cm, 1m 25 cm is?
The total number of digits used in numbering the pages of a book having 266 pages is
A rectangular-shaped carpet that measures x feet by y feet is priced at $12. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
If it takes 4 identical printing presses exactly 4 hours to print 8,000 newspapers, how long would it take 2 of these presses to print 6,000 newspapers?
Three numbers are in the ratio 2:3:5 and their H.C.F is 30. The numbers are:
TOM traveled the entire 100 miles trip. If he did the first 50 miles of at a constant rate 20miles per hour and the remaining trip of at a constant rate 50 miles per hour, what is the his average speed, in miles per hour?
Two trains, each 100 m long, moving in opposite directions, cross other in 10 sec. If one is moving twice as fast the other, then the speed of the faster train is?
In the first twelve overs of a cricket game, the run rate was only 4.6. What should be the run rate in the remaining 38 overs to reach the target of 249 runs?
A large research project was scheduled over the course of a 100-month period, and a budget of $250,000 was allotted for the course of the entire project. After 10 months, the project had spent $26,000. Was the project at this point over budget or under budget, and by how much?
The sum of all consecutive odd integers from −25 to 35, inclusive, is
The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 136. Find their present ages.
The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
A man can row downstream at 28 kmph and upstream at 16 kmph. Find the speed of stream ?
An auction house charges a commission of 18% on the first $50,000 of the sale price of an item, plus 10% on the amount of of the sale price in excess of $50,000. What was the price of a painting for which the house charged a total commission of $24,000?
A certain list of 200 test scores has an average (arithmetic mean) of 80 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 202 test scores with a standard deviation less than d ?
A farmer travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr. The distance travelled on foot is :
A and B can do a piece of work in 4 days, B and C in 5 days, C and A in 6 days. How long will C take to do it?
A store has announced a 10% rebate for the entire day. If Amy only has Rs.500 in her pocket and needs Rs.20 to get back home, how many bottles of juice can she buy at the most from the store, with each juice costing Rs.50 before the discount?
A grocer has a sale of Rs. 5700, Rs. 8550, Rs. 6855, Rs. 3850 for 4 consecutive months. How much sale must he have in the fifth month so that he gets an average sale of Rs. 7800?
For every $20 that a billionaire spends, a millionaire spends the equivalent of 20 cents. For every $2 that a millionaire spends, a yuppie spends the equivalent of $1. The ratio of money spent by a yuppie, millionaire, and billionaire can be expressed as
A train 100 m long crosses a platform 200 m long in 15 sec; find the speed of the train?
Find the average of all prime numbers between 1 and 10
Bill’s compact disc player randomly plays a song, so that no song is repeated before the entire album is played. If Bill plays a disc with 13 songs, what are the chances that the third song he hears will be his favorite?
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling alongthe oundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is
A person travels equal distances with speeds of 2km/hr, 4km/hr, 6km/hr. and takes a total time of 11minutes. Find the total distance ?
The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 1400 per sq.metre.
The product of all the prime numbers less than 30 is closest to which of the following powers of 10?
The difference between a number and its two-fifth is 510. What is 10% of that number?
In a garment industry, 12 men working 8 hours per day complete a piece of work in 10 days. To complete the same work in 8 days, working 20 hours a day, the number of men required is:
What is the greatest integer m for which the number 40!/10^m is an integer?
Find the probability that a number selected from numbers 1, 2, 3,..., 20 is a prime number, when each of the given numbers is equally likely to be selected?
If m= (n-1)(n+2), then what is the least possible value of m?
(786×74) ÷ ? = 2423.5
What will come in place of the x in the following Number series? 65536, 32768, 16384, 8192, 4096, x
The rate of spin of a certain gyroscope doubled every 10 seconds from the moment a particular stopwatch started. If after a minute and a half the gyroscope reached a speed of 800 meters per second, what was the speed, in meters per second, when the stopwatch was started?
A ball dropped from H height and moves 80% of height each time. Total distance covered is
A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is:
If each of 4 digit code is formed of integers from 1 to 50, inclusively, and each of the digits are different, how many possible codes are there?
You have been given a physical balance and 7 weights of 40, 42, 36, 33, 47, 52 and 67 kgs. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 169 kgs.