Datasets:
dfdsfgf
/
big_math_dataset

Dataset card Data Studio Files
xet
 Community
1
question
stringlengths
3
1.14k
One fast typist type some matter in 2hrs and another slow typist type the same matter in 3hrs. If both do combine in how much time they will take to finish.
In a certain diving competition, 5 judges score each dive on a scale from 1 to 10. The point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty. If a dive with a degree of difficulty of 3.2 received scores of 7.5, ...
The distance between two cities A and B is 330 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet?
In a school of 600 students, 45% wear blue shirts, 23% wear red shirts, 15% wear green shirts, and the remaining students wear other colors. How many students wear other colors (not blue, not red, not green)?
The probability of pulling a black ball out of a glass is 1/X. The probability of pulling a black ball out of a glass and breaking the glass is 1/Y. What is the probability of breaking the glass?
Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 2244 sq. metres.
The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is
{9,4,3,5,7,12,10} What value should be inserted into the above set of 7 values to get a median value of 6?
One-fourth of the students at a nursery school are 4 years old or older. If 15 students have not yet reached their third birthday, and a total of 40 students are not between 3 years old and 4 years old, how many children are in the nursery school?
A pharmaceutical company received $3 million in royalties on the first $20 million in sales of and then $9 million in royalties on the next $102 million in sales. By approximately what percentage did the ratio of royalties to sales decrease from the first $20 million in sales to the next $102 million in sales?
A miniature gumball machine contains 4 blue, 4 green, and 2 red gumballs, which are identical except for their colors. If the machine dispenses three gumballs at random, what is the probability that it dispenses one gumball of each color?
Let f(x) = x^2 + bx + c. If f(5) = 0 and f(-3) = 0, then b + c =
Three numbers are in the ratio 1:4:6 and their H.C.F is 7. The numbers are?
A circular mat with diameter 20 inches is placed on a square tabletop, each of whose sides is 25 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
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?
The sum of the first k positive integers is equal to k(k+1)/2. What is the sum of the integers from y to z, inclusive, where 0<y<z?
A coin is tossed live times. What is the probability that there is at the least one tail?
A train covers a distance of 12 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
What is the difference between the place value of 2 in the numeral 7559?
If four coins are tossed, the probability of getting two heads and two tails is -.
3 litre of water is added to 11 litre of a solution containing 42% of alcohol in the water. The percentage of alcohol in the new mixture is
Joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. During the first week, he uses 1/4 of all the paint. During the second week, he uses 1/6 of the remaining paint. How many gallons of paint has Joe used?
What is the total % gain or loss if a trader sold two items for Rs.1500 each, and makes a profit of 20% from the first item and a loss of 12% from the second item.
What least number must be substracted from 427398 so that the remaining number is divisible by 15?
If there are 9 horizontal lines and 9 vertical lines in a chess board, how many rectangles can be formed in the chess board?
Today is Monday. After 63 days, it will be:
There are 5 chess amateurs playing in Villa's chess club tournament. If each chess amateur plays with exactly 8 other amateurs, what is the total number of chess games possible to be played in the tournament?
The food in a camp lasts for 32 men for 48 days. If eight more men join, how many days will the food last?
If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is?
Three grades of milk are 1 percent, 33 percent and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 1.5 percent grade, what is x in terms of y and z?
A man is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. Find the length of the train and its speed
A business finds that their ratio of spending to income is 5 to 9. Their total profit is $48,000. What is their total income?
Points A, B, C, and D, in that order, lie on a line. If AB = 2 cm, AC = 5 cm, and BD = 6 cm, what is CD, in centimeters?
In an examination 38% of students fail in English and 61% pass in Hindi and 23% fail in both. Find the actual failure percentage?
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 3 senior and 3 junior staff officers, how many possible committees are there?
Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the busin...
a, b, and c are integers and a<b<c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive. The median of set S is (3/4)*b. The median of set Q is (7.5/8)*c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R?
If r = (x – 5)^2 + (x + 1)^2 – 6, then y is least when x =
From the starting point in a boat race, one competitor started to sail north at a speed of 1.4 Km/h, the other competitor started to sail west at a speed of 1.2 Km/h. What is the distance in Km between the two competitors after 5 hours?
What is the highest integer that is the sum of 2 distinct prime integers, each smaller than 80 ?
A Kloke's train rails across an open track at 250 kilometers per hour. A regular passenger train travels at 68% of the Kloke's train speed. If the two trains start moving from the same station at the same time, how much time longer will it take the passenger train than the Kloke's to travel 850 kilometers?
Pipe A can fill a tank in 4 hours. Due to a leak at the bottom, it takes 6 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
The speed at which a woman can row a boat in still water is 120 kmph. If she rows downstream, where the speed of current is 60 kmph, what time will he take to cover 500 metres?
A highway is to be divided into four lanes. For this purpose, three yellow stripes are painted so that stripes divide the highway into four lanes. If 3 gallons of paint cover an area of 2P 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 lon...
The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, find for how much time did Q invest the money?
A train covers a distance of 12 km in 10 min. If it takes 12 sec to pass a telegraph post, then the length of the train is?
Calculate the effect changes in dimension of a rectangle will have on its area, if length is increased by 20% and its breadth is decreased by 5%?
A Jar contains 18 balls. 3 blue balls are removed from the jar and not replaced.Now the probability of getting a blue ball is 1/5 then how many blue balls jar contains initially?
If the two-digit integers A and B are positive and have the same digits, but in reverse order, which of the following could be the sum of A and B?
In how many different ways can the letters of the word ‘POSITIVE’ be arranged ?
(128.5 x 64) + (13.8 x 465) = ? x 25
In a certain deck of cards, each card has a positive integer written on it, in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer. If the each possible product is between 15 and 150, then the least and greatest integer on the card would be
If a motor bike's wheel is 12 cm diameter and rotating at the rate of x cm/min and another motor bike's wheel is 6 cm diameter rotating at the rate of y cm/min and if both the bikes reach the distance at same time then what is the value of y in terms of x?
The diagonal of a rectangle is √41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:
The ratio of the present ages of Giri and Hari is 5 : 8. 12 years hence, the ratio of their ages will be 11 : 14. Find the difference in their present ages?
How many multiples of 5 are there between 5 to 95?
The speed of a boat in still water is 60kmph and the speed of the current is 40kmph. Find the speed downstream and upstream?
Jaclyn buys $40 000 worth of debentures in a company. She earns 9.5% p.a. simple interest, paid to her quarterly (that is, every 3 months). If the agreed period of the debenture was 18 months: calculate the amount of interest Jaclyn will earn for each quarter
If S = T/P, -1 < P < 0 and 4 < T, which of the following is correct?
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
Walking at the rate of 8kmph a man cover certain distance in 4hr 45min. Running at a speed of 19 kmph the man will cover the same distance in.
A palindrome is a number that reads the same forward and backward, such as 464. How many odd five-digit numbers are palindromes?
A real estate investor decided to sell five of his apartments at the cost of $168,000, $235,000, $157,000, $ 256,000 and $ 235,000. Due to a bidding war, the price on the most expensive apartment will likely be sold for $15,000 higher than the initial asking price. Which of the following best describes how the mean and...
If [[x]] = x^2 + 2x + 4, what is the value of [[4]]?
There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle?
A six-sided die is rolled once. What is the probability that the number rolled is an even number greater than 2?
It takes one machine 3 hours to complete a production order and another machine 3 hours to complete the same order. How many hours would it take both amhcines working simultaneously at their respective rates to complete the order?
There are 6 tasks and 6 persons. Task 1 cannot be assigned either to person 1 or to person 2; task 2 must be assigned to either person 3 or person 4. Every person is to be assigned one task. In how many ways can the assignment be done?
A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make?
For integers x and y, if 91x = 8y, which of the following must be true? I. y > x II. y/7 is an integer III. The cube root of x is not necessarily an integer
A $500 investment and a $1,500 investment have a combined yearly return of 8.5 percent of the total of the two investments. If the $500 investment has a yearly return of 7 percent, what percent yearly return does the $1,500 investment have?
How much interest can a person get on Rs. 8800 at 17.5% p.a. simple interest for a period of two years and six months?
A box contains 4 blue marbles, 3 red, 6 green marbles and two yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
Three numbers are in the ratio 5 : 6 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 37. Find the third number?
A person has to cover a distance of 6km in 45 minutes. If he covers one half of the distance in two-thirds of the total time; to cover the remaining distance in the remaining time, his speed must be?
Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction?
What amount does an investor receive if the investor invests $7000 at 10% p.a. compound interest for two years, compounding done annually?
If 16 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days?
If p is a positive integer, and r is the units digit of 3^4p×5^5p×6^6p×7^7p then r + 2 is divisible by which of the following?
A reduction of 18% in the price of oil enables a house wife to obtain 8kgs more for Rs.1080, what is the reduced price for kg?
Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs100 , then find the CP of sugar?
A man went into a bank to cash a check. In handing over the money the cashier, by mistake, gave him dollars for cents and cents for dollars. He pocketed the money without examining it, and spent a nickel on his way home. He then found that he possessed exactly twice the amount of the check. He had no money in his pocke...
Lorna invests $7000, with some at 6% annual interest and some at 11% annual interest. If she receives a total of $580 from these investments at the end of a year, how much was invested at the 6% interest rate?
By travelling at 70 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?
The profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448. What should be the sale price for making 50% profit?
Carmelo and LeBron participate in a seven-person footrace on the basketball court during All-Star Weekend. If all seven contestants finish (including Charles Barkley) and there are no ties, how many different arrangements of finishes are there in which Carmelo defeats LeBron?
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 32, the how old is B?
Anand and Deepak started a business investing Rs.22,500 and Rs.35,000 respectively. Out of a total profit of Rs. 13,800. Deepak's share is
A man performs 1/2 of his journey by rail, 2/5 by bus and the remaining 10 km on foot. His total journey is?
A straight pipe 1 yard in length was marked off in fourths and also in fifths. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?
If n is a positive integer, which of the following expressions must be even?
The average age of three boys is 25 years and their ages are in the proportion 3 : 5 : 7. The age of the youngest boy is:
List I: { y, 2, 4, 7, 10, 11} List II: {3, 3, 4, 6, 7, 10} If the median T of List I is equal to the sum of the median of list II and the mode of list II, then y equals
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. 27,000 is made?
If two integers x,y (x>y) are selected from -5 to 6 (inclusive), how many cases are there?
Six animals of a circus has to be placed inside in six cages one in each cage. If 4 of the cage are too small for 6 of the animal then find the number of ways of caging the animal.
How many two-digit whole numbers yield a remainder of 3 when divided by 10 and also yield a remainder of 3 when divided by 4? Options:
In a class there are a total of 8 rows of desks and each desk can seat one student. There are 10 desks in the first row. In each subsequent row there are 2 more desks than in the previous row. Find the maximum number of students seated in the class?
In how many ways can the letters of word CREMATION be arranged such that NO two vowels appear together?
A factory produces 4560 toys per week. If the workers at this factory work 4 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?