Datasets:
dfdsfgf
/
big_math_dataset

Dataset card Data Studio Files
xet
 Community
1
question
stringlengths
3
1.14k
The calendar of the year 2060 can be used again in the year?
To be considered for “movie of the year,” a film must appear in at least 1/4 of the top-10-movies lists submitted by the Cinematic Academy’s 775 members. What is the smallest number of top-10 lists a film can appear on and still be considered for “movie of the year”?
A train 800 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
The cost of a Personal computer was $2,000 in 1990. In 2000, the price had decreased to $500. What was the percent decrease in the cost of the Personal computer?
A man rows his boat 105 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
The first train leaves the station at 6:00 am with a speed of 60 km/hr. The second train leaves at 7:15 am, in the same direction from the same station, with a speed of 75 km/hr. What time will the second train catch the first train?
How many such letter-pairs are there in the word SERVANT having the same no. of letters left between them in the word as they have in the series?
At 1:00 pm, there were 10.0 grams of bacteria. The bacteria increased to x grams at 4:00 pm, and 22.5 grams at 7:00 pm. If the amount of bacteria present increased by the same fraction during each of the 3-hour periods, how many grams of bacteria were present at 4:00 pm?
In a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 27 to the thrice of the remainder. The dividend is
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
A man started driving at a constant speed, from the site of a blast, the moment he heard the blast. He heard a second blast after a time of 30 mins and 12 seconds. If the second blast occurred exactly 30 mins after the first, how many meters was he from the site when he heard the second blast? ( speed of sound = 330 m/...
A man sells two articles for Rs.3300 each and he gains 21% on the first and loses 21% on the next. Find his total gain or loss?
Marisa is taking a cash deposit to the bank. She has $10 bills and $5 bills in a deposit pouch. Altogether, she has 130 bills with a total value of $890. How many ten dollar bills are in the pouch?
The ratio of the ages of Anil and his son at present is 7:3. Six years hence, the ratio of the ages of the Anil's wife and the son will be 2:1. Find the ratio of the present ages of Anil and his wife?
There are 7 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair. what is the number of pair that can be formed.
There are 60 supermarkets in the FGH chain. All of them are either in the US or Canada. If there are 22 more FGH supermarkets in the US than in Canada, how many FGH supermarkets are there in the US?
A company consists of 10 senior and 5 junior staff officers. If a committee is created with 3 senior and 2 junior staff officers, in how many ways can the committee be formed?
A certain animal in the zoo has consumed 39 pounds of food in six days. If it continues to eat at the same rate, in how many more days will its total consumption be 143 pounds?
Mr. Kramer, the losing candidate in a two-candidate election, received 942,568 votes, which was exactly 30 percent of all votes cast. Approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast?
8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 10 men, 4 women and 18 children together complete the piece of work?
In a colony of 70 residents, the ratio of the number of men and women is 4 : 2. Among the women, the ratio of the educated to the uneducated is 1 : 4. If the ratio of the number of educated to uneducated persons is 8 : 27, then find the ratio of the number of educated to uneducated men in the colony?
Two employees X and Y are paid a total of Rs. 880 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
Last year a certain bond yielded 10 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $7,500, what is the bonds face value?
An order was placed for a carpet whose length and width were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and width were in the ratio 3 : 1 but were was no change in its perimeter. What is the ratio of the areas of the carpets?
A motorist knows seven different routes from Bristol to Birmingham. From Birmingham to Sheffield he knows three different routes and from Sheffield to Carlisle he knows two different routes. How many routes does he know from Bristol to Carlisle ?
The simple interest on a sum of money will be Rs.700 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
The speed of a boat in upstream is 40 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
In a factory, there are 60% technicians and 100% non-technicians. If the 60% of the technicians and 100% of non-technicians are permanent employees, then the percentage of workers who are temporary is?
4 buses runs between Chennai and Mysore. If a man goes from Chennai to Mysore by a bus and comes back to Mysore by another bus, then the total possible ways are
If BASKET is coded as 116,then COLOUR is coded as,
An article is bought for Rs.685 and sold for Rs.900, find the gain percent?
For the set {2, 2, 3, 3, 4, 4, 5, 5,6,6 x}, which of the following values of x will most increase the standard deviation?
If the number of boys in a class are 8 times the number of girls, which value can be the total number of students?
What sum of money will produce Rs.70 as simple interest in 4 years at 4 1/2 percent?
Three sets of 80, 50 and 60 students appeared for an examination and the pass percentage was 100, 90 and 50 respectively. the pass percentage of the whole set is
A driver took a trip consisting of three segments at three different speeds. The driver drove a distance of (5D) at a speed of (2V), then a distance of (10D) at a speed of (3V), then a distance of D at a speed of (6V). In terms of D and V, what was the total time of the trip?
The average height of 20 students in a class was calculated as 175 cm. It has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 111 cm. What was the actual average height of the students in the class?
A Man can row upstream at 85kmph and downward stream at 47 kmph. Find Man's rate of the current
The ratio of three numbers is 1:2:3 and the sum of their squares is 2744. The sum of the numbers is?
Reena is twice as old as Sunita. Three years ago, she was three times as old as Sunita. How old is Reena now ?
There are 10 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
Two bottles A and B contain diluted ammonium nitric acid. In bottle A, the amount of water is double the amount of acid while in bottle B, the amount of acid is 3 times that of water. How much mixture Should be taken from each bottle in order to prepare 5 litres of diluted sulphuric acid containing equal amount of acid...
A man purchases a cow for Rs.3000 and sold it on the same day allowing the buyer a credit of 2 years. If the buyer will pay Rs.3600 after 2 year at a rate of simple interest 50/7 % per annum, then the man has a gain of
In the simple subtraction problem below, some single digits (not necessarily distinct) are replaced by letters. Find the value of 2*A + 2*B + 4*C*D. A9C5 - 2B79 -------------- 633D
A number is said to be a “digifac” if each of its digits is a factor of the number itself. What is the sum B of the missing digits of the following five-digit digifac: 9, 5, 3 _ _ ?
Right triangle RST can be constructed in the xy-plane such that RS is perpendicular to the y-axis and the right angle is at R. The x and y-coordinates of R, S, and T are to be nonzero integers that satisfy the inequalities −3 ≤ x ≤ 4 and −7 ≤ y ≤ 3. Given these restrictions , how many different triangles can be constru...
What is the smallest no. that should be added to 236 to make it exactly divisible by 9?
In the first week of the Year, ancy saved $1. In each of the next 51 weeks, she saved $1 more than she had saved in the previous week. What was the total amount that ancy saved during the 52 weeks?
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:
A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.60 per kg. What will be his gain percent?
A trader marks his articles 20% more than the cost price. If he allows 20% discount, then find his gain or loss percent?
In how many different ways can 6 identical blue pants and 6 identical red pants be shared among 12 children such that each child receives a pant?
P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the profit earned after 2 years be divided between P and Q respectively?
Mamuni went to the movies nine days ago. She goes to the movies only on Thursday. What day of the week is today?
Bobby bought two shares of stock, which he sold for $96 each. If he had a profit of 20% on one of the shares and a loss of 20% on the other share, then on the sale of both shares combined Bobby had:
A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
A train 125 m long passes a man, running at 9 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
If an object travels at three feet per second, how many feet does it travel in one hour?
In how many ways can 7 people, A, B, C, D, E, F, G be seated in a row such that C and D are not seated next to each other as well as A and B are not seated next to each other?
The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
a person purchased four cloth average price of cloth is 300.price of its three cloths are 350,400,200 respectively what will be the price of fourth cloth?
Mrs. Mary. invested $36,000; part at 5%, and part at 8%. The total interest on the investment was $2,520. How much did she invest at each rate?
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 $324 per week. How much does she earn in dollars per hour?
What is the difference between the compound interest on Rs.12000 at 30% p.a. for one year when compounded yearly and half yearly?
Of three numbers, the third is twice the first and the second is 4 times the first. If their average is 77, the smallest of the three numbers is:
A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:
A certain sum of money is divided among A, B and C so that for each Rs. A has, B has 65 paisa and C 40 paisa. If C's share is Rs.48, find the sum of money?
The ratio between the current age of A and B is 6:7. If B is 4 years old than A. What will be the ratio of the ages of A and B after 4 years?
How many seconds does Sandy take to cover a distance of 700 meters, if Sandy runs at a speed of 18 km/hr?
Company P had 15 percent more employees in December than it had in January. If Company P had 500 employees in December, how many employees did it have in January?
Two trains started at the same time, one from A to B and the other from B to A . If they arrived at B and A respectively 4 hours and 25 hours after they passed each other the ratio of the speeds of the two trains was
Two-fifths of thirty per cent of one-fourth of a number is 15. What is 20 per cent of that number?
Robert is travelling on his cycle andhas calculated to reach point A at 2 PM. if he travels at 10 kmph, he will reach there at 12Pm if he travels at 15 kmph. At what speed must he travel to reach A at 1 PM?
At the end of the day one market stall had 16 apples and 48 oranges left. Another market stall had 36 apples and 24 oranges left. What is the difference between the percentages of apples left in the two market stalls?
If 2^5, 3^3, and 14^2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w?
If a car went the first third of the distance at 60 kmh, the second third at 24 kmh, and the last third at 48 kmh, what was the average speed of the car for the entire trip?
A candidate appearing for an examination has to secure 35% marks to pass paper I. But he secured only 42 marks and failed by 23 marks. What is the maximum mark for paper I?
A man swims downstream 42 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
Suppose you want to buy three loaves of bread that cost $2.25 each and a jar of peanut butter that costs $2. A jar of jelly is $2.75, but you don’t need any jelly. You have $14. How much money will you have left over?
A certain sum is invested at simple interest at 18% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 600. Find the sum?
A number is divided by 406 leaves remainder 115 , What will be the reminder when it will be divided by 29?
The average of 11 results is 42, if the average of first six results is 49 and that of the last six is 52. Find the sixth result?
The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
A shopkeeper buys mangoes at the rate of 5 a rupee and sells them at 2 a rupee. Find his net profit or loss percent?
The true discount on a bill due 9 months hence at 16% per annum is Rs. 189. The amount of the bill is :
What will come in place of the x in the following Number series? 2, 7, 10, 22, 18, 37, 26, x
What is the smallest of six consecutive odd integers whose average (arithmetic mean) is b + 2?
5% of (25% of $1600) is?
The volume of a cube is 343 cc. Find its surface.
Andrew has a certain number of coins in his pocket. He has three times as many dimes as quarters and six times as many nickels as dimes. A nickel is worth $0.5, a dime is worth $0.10 and a quarter is worth $0.25. If he has a total of $10.15, then which of the following represents the number of dimes in Andrew’s pocket?
Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 41 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?
a, b are positive integers. The remainder of a to be divided by 5 is 4 and the remainder of b to be divided by 3 is 1 Which is possible to be the remainder of a*b to be divided by 24
The current of a stream runs at the rate of 4 kmph. A boat goes 12 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq. cm. Find the length of the rectangle.
In a company of 200 employees, 120 are females. A total of 100 employees have advanced degrees and the rest have a college degree only. If 40 employees are males with a college degree only, how many employees are females with advanced degrees?
The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages?
Pipes A and B can fill a tank in 4 and 6 hours. Pipe C can empty it in 8 hours. If all pipes are opened together, then the tank will be filled in?
A computer program assigns consecutive numbers to the days of the week. Sunday is 1, Monday is 2, ..... and Saturday is 7. Every day, the computer program calculates the value of parameter D according to the following definition: D is the number of the day times the value of D on the previous day. If the computer calcu...
A hall is 15 meters long and 15 meters wide. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, what is the volume of the hall (in cubic meters)?