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big_math_dataset

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Find the average of first 40 natural numbers?
Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 7, 24 and 25?
How many plants will be there in a circular bed whose outer edge measure 35 cms, allowing 4 cm2 for each plant ?
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 1.4 km respectively. The time taken by the slower train to cross the faster train in seconds is?
(0.0066)(3.6) / (0.04)(0.1)(0.006)=
Which of the following points is symmetric with y=x at (2,3)?
Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?
The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 50 with him, what was the average amount with the group before his joining the group?
Farm Tax is levied on the 45% of the cultivated Land. The tax department collected total $ 3840 through the farm Tax from the village of Mr. willam. Mr. willam paid only $ 480 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is :
A patient was given four pills which he is required to take one after every forty minutes. How long can the pills run for him?
A pharmaceutical company received $5 million in royalties on the first $40 million in sales of and then $9 million in royalties on the next $210million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $40 million in sales to the next $210 million in sales?
A restaurant meal cost $50 and there was no tax. If the tip was more than 15 percent but less than 20 percent of the cost of the meal, then the total amount paid must have been between
In a throw of dice what is the probability of getting number greater than 5
The function f is defined for all the positive integers d by the following rule: f(d) is the number of positive integers each of which is less than d and has no positive factor in common with d other than 1 . if p is a prime number then f(p)?
Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 50 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the distance traveled by Maxwell when they meet in the middle?
If 85 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 80 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?
How many pieces of 0.85 metres can be cut from a rod 42.5 metres long?
Of the 1000 inhabitants of a town, 60% are males of whom 20% are literate. If, of all the inhabitants, 25% are literate, then what percent of the females of the town are literate?
A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
A cyclist climbs a hill with a length of 400 m with a speed of 7.2 km/h. When descending, the speed is two times greater. How much time is necessary for the cyclist to climb and descend the hill?
12,31,68,129,220,347,?
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 54 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?
ine m lies in the xy-plane. The y-intercept of line m is -2, and line m passes through the midpoint of the line segment whose endpoints are (2, 4) and (6, -8). What is the slope of line m ?
Angelo and Isabella are both salespersons. In any given week, Angelo makes $550 in base salary plus 8 percent of the portion of his sales above $1,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same amount of money?
If a: b = 11: 4, b: c = 15: 12, find a: b: c?
It was intended that Rs. 585 be divided among P, Q and R in the ratio of 4 : 3 : 2, but by mistake the distribution was made in the proportion of 1/4 : 1/3 : 1/2. How much does 'R' gain by the error ?
Alex and Brenda both stand at point X. Alex begins to walk away from Brenda in a straight line at a rate of 1 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 terms of R, that Alex will have been walking when Brenda has covered twice as much distance as Alex?
A money lender lent Rs. 1000 at 3% per year and Rs. 1400 at 3% per year. The amount should be returned to him when the total interest comes to Rs. 350. Find the number of years.
(A% of 5B + B% of A) is equal to ?
If A = B/C, -1 < C < 0 and 4 < B, which of the following is correct?
On a track for remote controlled racing cars, racing car A completes the track in 56 seconds, while racing car B completes it in 35 seconds. If they both start at the same time after how many seconds will they be side by side again.
On a purchase of $118, a store offered a payment plan consisting of a $18 down payment and 12 monthly payments of $10 each. What percent of the purchase price, to the nearest tenth of a percent, did the customer pay in interest by using this plan?
Half the people on a bus get off at each stop after the first, and no one gets on after the first stop. If only one person gets off at stop number 3, how many people got on at the first stop?
A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must invest the remainder at:
A mixture contains milk and water in the ratio 7:3. On adding 20 liters of water, the ratio of milk to water becomes 7:5. Total quantity of milk & water before adding water to it?
If 4 - (3/7)x = (x-3) / 7, then what is the value of x ?
At Jefferson Elementary School, the number of teachers and students (kindergarten through sixth grade) totals 510. The ratio of students to teachers is 16 to 1. Kindergarten students make up 1/4 of the student population and fifth and sixth graders account for 1/3 of the remainder. Students in first and second grades account for 1/4 of all the students. If there are an equal number of students in the third and fourth grades, then the number of students in third grade is how many greater or fewer than the number of students in kindergarten?
If a + b > 5 and a - b < 3, which of the following must be true? I. a > b II. b > 1 III. a > 5
The elevator in an eleven-story office building travels at the rate of one floor per 1/4 minute, which allows time for picking up and discharging passengers. At the main floor and at the top floor, the operator stops for 1 minute. How many complete trips will an operator make during a 4-hour period?
Of the teams competing in the world archery championships, Ten percent are from Europe. Half as many are from the United States and one twentieth are from Africa. What fraction of teams are from neither Europe, the US or Africa.
Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X, is 1/4 full of oil. If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what capacity?
If the discount on Rs. 498 at 5% simple interest is Rs.18, when is the sum due?
if the price of a book is first decreased by 25% and then increased by 20%, then the net change in the price will be :
E and F represent two distinct digits. If the number 457E89F is divisible by 36, what is the value of (E+F)?
A welder received an order to make a 1 million liter cube-shaped tank. If he has only 4x2 meter sheets of metal that can be cut, how many metal sheets will be required for this order O? (1 cubic meter = 1,000 liters)
If x > 7, which of the following is equal to (x^2 + 4x + 4)/(x^2 - 4) ?
The C.P of 5 pens is equal to the S.P of 7 pens. Find his gain % or loss%?
A homeless man wins the lottery and winds up with $200,457,543. He wishes to share it equalling with 8 other homeless friends of his. How much more money does he need to be able to distribute the money equally?
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
A 45° -45° - 90° right triangle has hypotenuse of length h. What is the area of the triangle R in terms of h?
30% of all students in a class commute by public transportation. If 40% of the students aspire to be scientists, which of the following can be the percentage of students who do not commute by public transportation and do not aspire to be scientists? I. 5% II. 40% III. 50%
Find the value of (875 233/899) × 899
((-1.9)(0.6) – (2.6)(1.2))/3.0 = ?
A boat crossed a lake from North to South at the speed of 4 km/h, entered a river and covered thrice as much distance going upstream at 3 km/h. It then turned around and stopped at the south shore of the lake. If it averaged 3.8 km/h that day, what was its approximate downstream speed?
A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is:
Kim bought a total of $2.65 worth of postage stamps in four denominations. If she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 5-cent stamps, what is the least number of 5-cent stamps she could have bought ?
S is the set of all fractions defined by the formula n/(n + 1), where n is a positive integer less than 20. What is the product C of all the fractions that are in S?
Find the area of a parallelogram with base 24 cm and height 16 cm.
The weight of a glass of jar is 20% of the weight of the jar filled with coffee beans. After some of the beans have been removed, the weight of the jar and the remaining beans is 60% of the original total weight. What fraction part of the beans remain in the jar?
The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the following could be the greatest common factor of n and 60?
If a man rows at the rate of 5 kmph in still water and his rate against the current is 3.5 kmph, then the man’s rate along the current is
The batting average of a particular batsman is 60 runs in 46 innings. If the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs, find his highest score.
A 75-liter solution of cool-drink is made from 10% jasmine water. If 3.5 liters of jasmine and 9.5 liters of water were added to the solution, what percent of the solution is jasmine?
workers decided to raise Rs.3 lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.25 lacs. How many workers were they?
Carolyn bought 16 gumballs, Lew bought 14 gumballs, and Carey bought X gumballs. The average (arithmetic mean) number of gumballs the three bought is between 19 and 25, inclusive. What is the difference between the greatest number and the smallest number of gumballs Carey could have bought?
In a financial company investment compounds annually at an interest rate of 34.1% What is the smallest investment period by which time the investment will more than triple in value?
In a group of 12 engineers, 4 engineers have a PHD degree; the others have only an MS or BS degree. A team of 4 engineers is to be chosen which must have at least 1 engineer with a PHD, how many different teams can be chosen?
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 4 per square feet if there is one door of dimensions 6 feet * 3 feet and three WINDOWS of dimensions 4 feet * 3 feet each?
During the past week, a local fish market tested N fish for two infections. If 1/10 of those tested had infection A and, of those with infection A, 1/5 also had infection B, how many fish did not have both infection A and B?
Vessel ‘A’ contains 150 litres of mixture of milk and water in the ratio of 3:1. Vessel ‘B’ contains 200 litres of the mixture in the ratio of 5:2. If the mixture from both the vessels are poured into vessel ‘C’, find the ratio of the resulting mixture.
One packet contains 2 black, 3 white and 2 red rubbers. 2 rubbers are drawn at random. What is the probability that none of the rubbers drawn is red?
A library has an average of 510 visitors on Sundays and 240 on other day. The average number of visitors in a month of 50 days starting with sunday is
A new savings account offers 9 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?
A card board of size 34*14 has to be attached to a wooden box and a total of 35 pins are to be used on the each side of the card box. find the total number of pins used.
A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 32. Find the profit percentage?
A started a business with Rs. 21,000 and is joined afterwards by B with Rs. 36,000. After how many months did B join if the profits at the end of the year are divided equally?
How many integers n are there such that 1< 5n +5 < 40?
0---:-|---:--|-:--:-|--:---|-:----1 On the number line above, the segment from 0 to 1 has been divided into fifths, as indicated by the large tick marks, and also into sevenths, as indicated by the small tick marks. What is the LEAST possible distance A between any two of the tick marks?
Which of the following triples of numbers have the same standard deviation as the numbers m, n and o? I. m-2, n-2, o-2 II. 0, m-n, o-n III. m-4, n+5, o-1
There are 11 points in a given plane, no three of which are on the same line. If one of the points is represented as 'A', then how many triangles can be determined with the 11 points that contain the point A?
Alice has a jar of juice, and she drank 1/6 of the juice for lunch. If Alice drank 2/5 of the remaining juice for dinner, what fraction of the juice was left after dinner?
A, B and C invests Rs.4000, Rs.2000 and Rs.6000 in a business. After one year A removed his money; B and C continued the business for two more year. If the net profit after 3 years be Rs.3300, then A's share in the profit is?
A, B and C rent a pasture. If A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing and the rent of the pasture is Rs. 140, then how much amount should C pay as his share of rent?
If mn represents a positive two digit number, where m and n are single digit integers, which of the following cannot be true?
A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did C get in a profit of Rs.2430 ?
A photography dealer ordered 60 Model X cameras to be sold for $250 each, which represents a 10 percent markup over the dealer’s initial cost for each camera. Of the cameras ordered, 6 were never sold and were returned to the manufacturer for a refund of 50 percent of the dealer's initial cost. What was the dealer's approximate profit or loss as a percent of the dealer’s initial cost for the 60 cameras?
Because he’s taxed by his home planet, Mork pays a tax rate of 40% on his income, while Mindy pays a rate of only 30% on hers. If Mindy earned 2 times as much as Mork did, what was their combined tax rate?
Some persons can do a piece of work in 12 days. Two times the number of these people will do half of that work in?
If two integers x,y (x>y) are selected from -6 to 6 (inclusive), how many cases are there?
A and B can do a work in 18 day, B and C in 30 days, A and C in 22 (1/2) days. In how many days can A,B and C individually do the work?
A train has a length of 150 meters . it is passing a man who is moving at 3 km/hr in the same direction of the train, in 3 seconds. Find out the speed of the train.
In how many ways can the letters of word BISECTION be arranged such that NO two vowels appear together?
If a, b, and c are consecutive even integers and a < b < c, all of the following must be divisible by 4 EXCEPT
A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 3600 interest only for the period. The principal amount borrowed by him was:
To be eligible for retirement benefits at the Mankind Corporation, the sum of an employee's age, in years, and the number of years employment must be at least 60. If a, where a <60, is a certain employee's age when hired and b is the minimum number of years of employment required for the employee to be eligible for retirement benefits, which of the following equations represents the relationship between a and b?
The set X = {11,12,13,14,15}. The set Y = {2,3,4,5}. We will randomly choose one element x from set X and one element y from set Y. What is the probability that x / y will be an integer?
A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point C which is at midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B ?
Find the area of the square field if a train 800 metres long passes the field with a speed of 120 kmph in one minute.
Two cars are driving toward each other. The first car is traveling at a speed of 90 km/h, which is 50% faster than the second car's speed. If the distance between the cars is 975 km, how many hours will it take until the two cars meet?