Datasets:
dfdsfgf
/
big_math_dataset

Dataset card Data Studio Files
xet
Community
1
question
stringlengths
3
1.14k
If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in?
The New York Classical Group is designing the liner notes for an upcoming CD release. There are 10 soloists featured on the album, but the liner notes are only 5 pages long, and therefore only have room for 5 of the soloists. The soloists are fighting over which of them will appear in the liner notes, though not about which page they appear on. How many different combinations W of soloists can appear in the liner notes?
A business school club, Friends of Foam, is throwing a party at a local bar. Of the business school students at the bar, 40% are first year students and 60% are second year students. Of the first year students, 45% are drinking beer, 30% are drinking mixed drinks, and 25% are drinking both. Of the second year students, 30% are drinking beer, 30% are drinking mixed drinks, and 20% are drinking both. A business school student is chosen at random. If the student is drinking beer, what is the probability that he or she is also drinking mixed drinks?
Two employees X and Y are paid a total of Rs. 770 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
How many arrangements of the letters of the word ORANGES can be made, without changing the place of the vowels in the word?
A single discount % equal to three successive discounts of 30%, 20% and 10%.
4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days. In how many days will 10 women working together finish it ?
A cube is divided into 64 identical cubelets. Each cut is made parallel to some surface of the cube. But before doing that, the cube is painted with green on one set of opposite faces, red on another set of opposite faces, and blue on the third set of opposite faces. How many cubelets are painted with exactly one colour?
In a college the ratio of the numbers of boys to the girls is 5:7. If there are 140 girls, the total number of students in the college is?
32 meters of wire is available to fence off a flower bed in the form of a circular sector. What must the radius of the circle in meters be, if we wish to have a flower bed with the greatest possible surface area?
A train is moving at a speed of 132 km/hr. If the length of the train is 200 meters, how long will it take to cross a railway platform 240 meters long
It takes 2 workers a total of 12 hours to build a giant machine with each worker working at the same rate. If 3 workers start to build the machine at 11:00 AM, and one extra worker per hour is added beginning at 2:00 PM, at what time will the machine be complete?
Train X crosses a stationary train Y in 60 seconds and a pole in 25 seconds with the same speed. The length of the train X is 300 m. What is the length of the stationary train Y?
The distance between West-Town to East-Town is 10 kilometers. Two birds start flying simultaneously towards one another, the first leaving from West-Town at a speed of 4 kilometers per minute and the second bird, leaving from East-Town, at a speed of 1 kilometers per minute. What will be the distance, in kilometers, between the meeting point and West-Town?
A vessel of capacity 2 litre has 16% of alcohol and another vessel of capacity 6 litre had 40% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture?
5 men and 2 boys working together can do four times as much work as a man and a boy. Working capacity of man and boy is in the ratio
A and B start a business with Rs.6000 and Rs.8000 respectively. Hoe should they share their profits at the end of one year?
A group of ants, each 1/3 centimeters in length, crosses a sidewalk in single file, each right behind the next, at a speed of 30 cm/min. If the sidewalk is 1.5 meters wide, how long does it take for 30 ants to all make it across?
In a certain match all the teams were to play with each other. If there are 7 teams, how many matches will have to be played?
How many possible integer values are there for x if |5x - 3| < 6 ?
The number 523dbc is divisible by 7,8,9. Then what is the value of d*b*c
A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
A company D has 15 percent of the employees are secretaries and 45 percent are salespeople. If there are 50 other employees of Company D, how many employees does Company D have?
If m is a positive integer and m^2 is divisible by 33, then the largest positive integer that must divide m is?
In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?
In what ratio should a mixture of milk and water in the ratio of 3:4 be mixed with another mixture of milk and water in the ratio 5:2 so that the resultant mixture contains equal quantities of milk and water?
A man takes 3 hours 45 minutes to row a boat 15 km downstream of a river and 2hours30minutes to cover a distance of 5km upstream. find the speed of the river current in km/hr.
Two numbers are respectively 17% and 30% more than a third number. The percentage that is first of the second is?
In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1:2:3. If there are Rs. 30 in all, how many 5 p coins are there?
In one hour, a boat goes 8 km/hr along the stream and 2 km/hr against the stream. The speed of the boat in still water (in km/hr) is:
Find the value of b from (15)^2 x 9^2 ÷ 356 = b.
In a bag there are coins of 50 paisa, 25 paisa and one rupee in the proportion 4:3:2. If there are in all Rs.42, the number of one rupee coins is?
A sum of money is divided among A, B, C & D in the ratio 3:5:8:9 respectively. If the share of D Rs.1872 more than the share of A, then what is the total amount of money of B & C together?
The diagonals of a rhombus are 15 cm and 20 cm. Find its area?
Which of the following is divisible by the first ten positive integer multiples of 11? (i) 18810 (ii) 263640 (iii) 3011010
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 70 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h, what is the distance traveled by Brad?
A train 100 meters long completely crosses a 300 meters long bridge in 15 seconds. What is the speed of the train is?
The value of x + x(xx) when x = 6 is:
Dan's age after 16 years will be 6 times his age 4 years ago. What is the present age of Dan?
If e = 20! + 17, then e is divisible by which of the following? I. 15 II. 17 III. 19
A man can row 7.8 kmph in still water and he finds that it takes him twice as long to row up as to row down the river. Find the rate of stream.
What is the value of (P + Q)/(P - Q) if P/Q is 5?
If population of certain city increases at the rate of 5%. If population in 1981 was 324135, then population in 1978 was?
The value of (0.137+0.098)²-(0.137 - 0.098)² / 0.137×0.098 is
Joe has candys on his pocket, 4 of those candies have lemon flavor, and 3 have caramel flavor. If Joe take one, what is the probability that he picks one caramel flavor?
♠n denotes the number obtained when n is rounded to the nearest tenth. For example ♠4.31 = 4.3 ♠0.089 - ♠1.235 =
Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years?
It takes Joey the postman 1 hours to run a 3 mile long route every day. He delivers packages and then returns to the post office along the same path. If the average speed of the round trip is 6 mile/hour, what is the speed with which Joey returns?
My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 140 years. Can you tell me my age in years?
A man buys an article for $100. and sells it for $110. Find the gain percent?
A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is :
Ram, who is half as efficient as Krish, will take 18 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task?
If x is a positive odd number, then each of the following is odd EXCEPT
A man gave 1/8 of his property to his wife and 1/4 of the remaining to his daughter. What fraction of his property is he left with after giving to his wife and his daughter?
The average of 4,8,12 and x is 10. Find the value of x?
If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%?
Two pumps are connected to an empty tank. Pump X fills the tank with water at a constant rate, while pump Y drains water out of the tank at a constant rate. The two pumps finish filling the tank in four times the duration it would take pump X alone to fill the tank. If pump Y alone can empty a whole tank in 44 minutes, then how many minutes does it take pump X alone to fill the tank?
12.1212+17.0005 - 9.1105 = ?
If a and b are nonzero integers such that 4a = 10b, then each of the following must be true EXCEPT
Cars emerging from a motorway arrive at a junction that splits the road into two separate lanes. The number of cars per hour that continue in either lane is constant. If 7 cars per hour were diverted from the left lane to the right lane, the number of cars entering the right lane per hour would be twice as big as the number of cars entering the left lane per hour. Alternatively, if 7 cars per hour were diverted from the right lane to the left lane, the number of cars entering the left lane per hour would be four times as great as the number of cars entering the right lane per hour. How many cars enter the left lane per hour?
Find the unit's digit from the given 264^102+264^103?
On the first of the year, James invested x dollars at Proudstar bank in an account that yields 2.2% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for James to have y dollars at the end of the year?
Indu gave Bindu Rs.1250 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest?
How long does a train 110 m long traveling at 90 kmph takes to cross a bridge of 170 m in length?
Anand and Deepak started a business investing Rs. 27,500 and Rs. 33,000 respectively. Out of a total profit of Rs. 15,000, Deepak's share is?
At a dinner party, 4 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number of different possible seating arrangements for the group?
A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?
what is the units digit of the expression 17^7-2?
Which of the following points falls outside of the region defined by 2y≤6x−17?
The sale price sarees listed for Rs.400 after successive discount is 10% and 5% is?
How many Books each of Volume 100 meter cube can be packed into a crate of volume 4000 meter cube?
5years ago, the age of Anand was one-forth of the age of Bala at that time. The present age of Bala is 13 years more than the present age of Anand. Find the present age of Anand?
A man can row a boat at 20 kmph in still water. If the speed of the stream is 8 kmph, what is the time taken to row a distance of 60 km downstream?
Simple interest on a sum at 2% per annum for 2 years is Rs.100. The C.I. on the same sum for the same period is?
Which of the following expressions CAN be equal to 0 when x^2 −16= 0 ?
If 100% of j is equal to 25% of k, 150% of k is equal to 50% of l, and 125% of l is equal to 75% of m, then 20% of m is equal to what percent of 200% of j ?
W and B are integers. The expression (W+1)(B+1) is even. What can be said about W and B?
Two friends want to buy a snack. They combine their money and find they have $4.15, consisting of quarters, dimes, and nickels. If they have 37 coins and the number of quarters is half the number of nickels, how many quarters do they have?
Bobby bought 2 shares, and which he sold for $96 each. If he had a profit of 25% on the sale of one of the shares but a loss of 28% on the sale of the other share, then on the sale of both shares Bobby had...
Average monthly income of a family of 4 earning members was Rs. 735. One of the earning members died and therefore, the average income came down to Rs 590. The income of the deceased was?
There are 14 cans in the refrigerator. 7 of them are red and 7 of them are blue. In how many ways we can remove 8 cans so that at least one red and at least one blue cans to remain the refrigerator.
At a restaurant, glasses are stored in two different-sized boxes. One box contains 12 glasses, and the other contains 16 glasses. If the average number of glasses per box is 15, and there are 16 more of the larger boxes, what is the total number of glasses W at the restaurant? (Assume that all boxes are filled to capacity.)
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 7 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 Cleveland possible?
John has taken four (4) tests that have an average of 85. In order to bring his course grade up to a ‘B’, he will need to have a final average of 89. What will he need to average on his final two tests to achieve this grade?
If the price of an article went up by 25%, then by what percent should it be brought down to bring it back to its original price?
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 Q it takes them to paint all the houses under this scenario is what fraction of the time it would have taken if they had painted all the houses at their original rate of x houses per week?
A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
The length of a room is 9 m and width is 4.75 m. What is the cost of paying the floor by slabs at the rate of Rs. 900 per sq. metre.
The average runs scored by a batsman in 22 matches is 28. In the next 13 matches the batsman scored an average of 15 runs. Find his average in all the 35 matches?
Praveen starts business with Rs.3920 and after 5 months, Hari joins with Praveen as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Hari’s contribution in the capital?
A company organized a recruiting process for 3 vacant positions of assistant manager for its product launches. The company's efforts yielded 12 eligible candidates. How many sets of 3 candidates can the company choose to fill the 3 assistant manager positions?
Which one of the following numbers is completely divisible by 45?
How many digits are required to number a book containing 300 pages?
A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a trolley that is running with a speed of 12 km/hr in the direction opposite to that in which the train is going?
Two trains of length 100 m and 220 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
A football field is 9600 square yards. If 800 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards?
What is the least number which when divided by 12,21,35 will leave in each case the same reminder 6?
(x + 3) is a factor in x^2 - mx - 15. What is the value of m?
If each digit in the set of A = (2,3,4,5) is exactly used once, in how many ways can the digits be arranged such that the 3 and 4 are not adjacent?