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big_math_dataset

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A crow leaves its nest, and flies back and forth from its nest to a nearby ditch to gather worms. The distance between the nest and the ditch is 200 meters. In one and a half hours, the crow manages to bring worms to its nest 15 times. What is the speed of the crow in kilometers per hour?
If a, b, and c are consecutive positive even integers and a > b > c, which of the following could be equal to a + b + c ?
A and B invest in a business in the ratio 3: 2. Assume that 5% of the total profit goes to charity. If A's share is Rs. 855, what is the total profit?
A box contains eight bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that exactly three bulbs are good?
Two thirds of the roads from A to B are at least 5 miles long, and 1/2 of the roads from B to C are at least 5 miles long. If you randomly pick a road from A to B and then randomly pick a road from B to C, what is the probability that at least one of the roads you pick is at least 5 miles long?
I came across this problem in the GMATprep software and got it totally wrong! A company consists of 6 senior and 4 junior staff officers. If a committee is created with 1 senior and 1 junior staff officers, how many possible committees are there?
A train 360 m long is running at a speed of 42 km/hr. In what time will it pass a bridge 140 m long?
Some people are standing square. From them 32 are removed and then form a small square and then 8 more removed. now we cannot form the square. so how many people are there at the beginning?
28% of employees are women with fair hair. 40% of fair-haired employees are women. What percent of employees have fair hair?
The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:
Working simultaneously at their respective constant rates, machine A and B produces 20 widgets in c hours. Working alone at its constant rate, Machine A produces 20 widgets in 'a' hours.In terms of a and c, how many hours does it take Machine B, working alone at its constant rate, to produce 10 widgets
Three cannons are firing at a target. If their individual probabilities to hit the target are 0.6, 0.7, and 0.8 respectively, what is the probability that none of the cannons will hit the target after one round of fire? prob. that all the cannons will hit the target = .06 prob. that none of the cannons will hit = 1 - ....
Find the smallest number that must be added to 1780 to make it a perfect square.
square of 99=?
The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
The positive number a is q percent greater than the positive number b, which is z percent less than a itself. If a is increased by z percent, and the result is then decreased by q percent to produce a positive number c, which of the following could be true? I. c > a II. c = a III. c < a
Free notebooks were distributed in a class among all the students. Each student got notebooks which were one-eighth of the number of student. If number of student been half, then each child would have received 16 notebooks in total. Find the total number of books distributed among students?
A man performs 1/2 of the total journey by rail, 1/4 by bus and the remaining 4km on foot. His total journey is
Raj invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?
Sebastian bought a meal at a restaurant and left a 15% tip. With the tip, he paid exactly $35.42. How much did the meal cost without the tip?
In the city of San Durango, 50 people own cats, dogs, or rabbits. If 20 people owned cats, 30 owned dogs, 30 owned rabbits, and 20 owned exactly two of the three types of pet, how many people owned all three?
A sack of 30 marbles total contains 10 red marbles, 8 white marbles, 9 blue marbles and 3 green marbles. One marble is removed and examined at a time and placed back into the bag until a white marble is successfully removed. What is the probability that a white marble will be removed on the 2nd try or better?
A jar contains 16 marbles, of which 4 are red, 3 are blue, and the rest are yellow. If 2 marbles are to be selected at random from the jar, one at a time without being replaced, what is the probability that the first marble selected will be red and the second marble selected will be blue?
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 30 metres?
A train 440 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?
A car runs at the speed of 55 km per hour when not serviced and runs at 90 kmph when serviced. After servicing the car covers a certain distance in 3 hours. How much time will the car take to cover the same distance when not serviced?
A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 30. Find the profit percentage?
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
5 points are marked on a straight line and another 6 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?
6/[(1/0.03) + (1/0.37)] = ?
The length of a rectangular plot is 10 meters more than its width. If the cost of fencing the plot at $15.50 per meter is $744, what is the length of the plot in meters?
In a hotel we can order two types of varieties, but we can make 9 more varieties in home. One can choose the four varieties with two from hotel as must. Find how many ways one can order.
mr. depak has $439,774 in his bank account. What is the least amount of money (in whole number of dollars) that he must add to his account if he wants to split this money evenly among her six best friends? Options:
A straight line has a slope of 1/2 and a y-intercept of -2. On this line, what is the x-coordinate of the point whose y-coordinate is 10?
A hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 30 kilometers per hour. The cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate. How many min...
The value of 489.1375 x 0.0483 x 1.956/0.0873 x 92.581 x 99.749 is closest to:
The ratio of cats to dogs to birds to fish is 3:4:5:6. There are no other types of animals in the pet store. which of the following cannot be the total number of animals in the store?
. Mr.P and Mr.Q can build a wall in 10 days; Mr.Q & Mr.R can take 14 days to build the same wall; and Mr.P and Mr.R can do it in 8 days. Who among them will take more time when they work alone?
If the cost price of 81 chocolates is equal to the selling price of 45 chocolates, the gain percent is :
In the xy-coordinate system, line k passes through points (-6m, 0) and (0, 3m). Which of the following is a possible equation of line k?
Look at this series: 1875000,375000,75000, ... What number should come next?
A and B started a business with their capitals Rs. 3000 and 9,000 respectively. Annual profit will be distributed between them in the ratio
In how many a committee of 5 members can be selected from 6men 5 ladies consisting of 3 men and 2 ladies
An empty wooden vessel weighs 8% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.
Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. The children C & F have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children?
In a stack of cards, 7 cards are blue and the rest are red. If 2 cards are to be chosen at random from the stack without replacement, the probability that the cards chosen will both be blue is 4/5. What is the number of cards in the stack?
How many numbers with 1 different digits can be formed using only the odd digits?
A Man can row upstream at 55kmph and downward stream at 47 kmph. Find Man's rate of the current
A bag contains 5 white balls, 4 black balls, and 3 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red?
a ladder is 100 m long and distance between bottom of the ladder and wall is 60m.what is the maximum size of the cube that can be placed between the wall and the ladder.
5 and 15 are the first two terms in a geometric sequence. What is the arithmetic difference between the 9th term and the 7th term?
David works at a science lab that conducts experiments on bacteria. The population of the bacteria multiplies at a constant rate, and his job is to notate the population of a certain group of bacteria each hour. At 1 p.m. on a certain day, he noted that the population was 500 and then he left the lab. He returned in ti...
Find the roots of quadratic equation: x2 + x - 42 = 0?
There is a certain relation between two given words on one side of : : and one word is given on another side of : : while another word is to be found from the given alternatives, having the same relation with this word as the given pair has.
Shreyas bought an article and sold it for 115% of its cost price. What was the cost price of the article, if Shreyas sold it for Rs.33750/-?
Suresh and Ramesh started a business investing Rs. 24,000 and Rs. 40,000 respectively. Out of total profit of Rs. 18,000, what is Suresh's share?
How many zeroes are there at the end of the number N, if N = 80! + 160! ?
If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
If the digits 33 in the decimal 0.00033 repeat indefinitely, what is the value of (10^5-10^3)(0.00033)?
A class has 30 boys and 20 girls. If 20 percent of the boys and 25 percent of the girls got "A" grade, what percent of the total number of students got "A" grade.
In the parking lot there are 34 vehicles, 19 of them are buses, and the rest are cars. The color of 17 vehicles is red, of which 12 are buses. How many cars can be found in the parking lot which are not colored red?
The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?
Jon bought a TV on sale for 25% off. If the TV cost him $549.99, what is the original selling price of the TV?
If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
45 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?
A rope of which a calf is tied is increased from 12 m to 25 m, how much additional grassy ground shall it graze?
An employee whose hourly wage was increased by 25 percent decided to reduce the number of hours worked per week so that the employee's total weekly income would remain unchanged. By what percent should the number of hours worked be reduced?
How long does a heavy vehicle of 200 m long traveling at 90 kmph takes to cross a bridge of 180 m in length?
How many days will there be from 24th January,1996 to 15th May,1996(both days included)?
Evaluate: 96385 + 12*3*25 = ?
Triangle ATriangle B are similar triangles with areas 1792 units square and 2527 units square respectively. The ratio of there corresponding height would be
Find the H.C.F. and L.C.M. of 2/3, 8/9, 16/81 and 10/27.
A, B and C started a business with a total investment of Rs. 90000. A invests Rs. 6000 more than B and B invests Rs. 3000 less than C. If the total profit at the end of a year is Rs. 8640, Find A's share.
If the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is?
Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is
What is the sum of the digits of integer k, if k = (10^30- 36)
Five men and five women have to sit around a circular table so that no 2 women are together. In how many ways can that be done?
There are 200 cats in Cat-City. Out of the 200, 70 are street cats and the rest are domestic cats. 110 cats are gray, 35 out of the gray cats are NOT domestic ones. How many domestic cats are there which are not gray in Cat-City?
Rs.400 at 5% p.a compound interest will amount to Rs.441 in ________ years (interest compounded yearly).
A student needs 30% of the marks on a test to pass the test. If the student gets 80 marks and fails the test by 10 marks, find the maximum marks set for the test.
15 men take 21 days of 8 hrs. each to do a piece of work. How many days of 4 hrs. each would it take for 21 women if 3 women do as much work as 2 men?
Hammers and wrenches are manufactured at a uniform weight per hammer and a uniform weight per wrench. If the total weight of 1 hammers and three wrenches is one-third that of 8 hammers and 5 wrenches, then the total weight of one wrench is how many times that of one hammer?
If the speed of Y meters per second is equivalent to the speed of X meters per hour, what is X in terms of Y? (1 kilometer=1000 meters)
If x−log48+3log2=log125/3−log3, what is the value of x?
If the product of two positive integers is 50, which of the following could be the LCM and HCF of the two numbers? a. LCM 50 : HCF 1 b. LCM 25 : HCF 2 c. LCM 10 : HCF 5
If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, what is the average marks of all the students?
Let Q be any number less than 200 which leaves remainder 2 when divisible by 5 or 7. What is the sum of all those numbers of Q?
What is the difference between the place value and the face value of 3 in the numeral 593827?
A magician has five animals in his magic hat: 3 doves and 2 rabbits. If he pulls two animals out of the hat at random, what is the chance Z that he will have a matched pair?
Find the least number which when divided by 20,25,35 and 40 leaves remainders 14,19,29 and 34 respectively.
A bread merchant declares a 15% discount after 8 P.M. Ana goes before 8 P.M. with Rs.50 in her pocket to buy 3 pieces of bread and got some change. Tom goes after 8 P.M. with Rs.40. How many pieces of bread can Tom buy at the most?
The “z-number” of a number x is defined as the ones digit of 2^x. Antony rolls a die with 6 sides labeled with the integers from 1 to 6, each of which has an equal probability of landing face-up. He then takes 3^z, where z is the z-number of the result of his die roll, and plots 3^z on a number line as the point A. Fin...
How many methods are possible for arranging 5 boys and 4 girls in such a way that no 2 girls could sit together?
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
A rectangular garden is to be twice as long as it is wide. If 900 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?
A basket contains one dozen fruits.Six of the fruits are apples, Three are oranges, and three are Bananas. If two fruits are randomly selected from the basket, one after the other, what is the probability that both will be apple fruit?
Lagaan is levied on the 60 percent of the cultivated land. The revenue department collected total Rs. 3,54,000 through the lagaan from the village of Mutter. Mutter, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Mutter over the total taxable land of the village is:
A mathematics teacher tabulated the marks secured by 35 students of 8th class. The average of their marks was 72. If the marks secured by Reema was written as 46 instead of 56 then find the correct average marks up to two decimal places.
Tickets for all but 100 seats in a 10,000-seat stadium were sold. Of the tickets sold, 20% were sold at half price and the remaining tickets were sold at the full price of $2. What was the total revenue from ticket sales?
John must arrange 3 different physics books and 2 different mathematics books on one shelf. If the first book on the leftmost side is a mathematics book and no physics book is next to another physics book. How many different arrangements exist?