Datasets:
dfdsfgf
/
big_math_dataset

Dataset card Data Studio Files
xet
Community
1
question
stringlengths
3
1.14k
The total age of A and B is 18 years more than the total age of B and C. C is how many years younger than A.?
A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3. If C gets Rs. 10000 more than D, what is B's share?
what is the 10 th term in 1,3,9,15,25,35,-----?
Two persons start running simultaneously around a circular track of length 400 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
A fair coin is tossed repeatedly. If heads appears on first 3 tosses what is the probability that tail appears on the next two tosses?
A train 150 m long is running with a speed of 68 kmph. In what time will it pass a man who is running at 8 kmph in the same direction in which the train is going ?
Evaluate 35% of 450 + 45% of 350
In how many ways letters of the word RESPECT be arranged?
15 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will the water rise? (1 litre = 1000cm³)
For her customer feedback score, Jess wants to average at or above an 8.0 rating. For the month of June, she received the following scores: 9, 8, 8, 7, 9, 10, 6, 6, 8 and 7. By what percent did she fall short of her goal?
Ben is driving on the highway at x miles per hour. (One mile equals 5,280 feet.) Ben's tires have a circumference of z feet. Which of the following expressions gives the number of revolutions each wheel turns in one hour?
A man buys an article for 10% less than its value and sells it for 10% more than its value. His gain or loss percent is:
if integer N has p factors ; how many factors will 3N have ?
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was
By selling 10 pens for a rupee a woman loses 18%. How many for a rupee should he sell in order to gain 30%?
Working together, Jose and Jane can complete an assigned task in 20 days. However, if Jose worked alone and completed half the work and then Jane takes over and completes the second half, the task will be completed in 45 days. How long will Jose take to complete the task if he worked alone? Assume that Jane is more efficient than Jose.
In a 100 m race, A runs at 8km per hour. If A gives B a start of 7 m and still him by 15 seconds, what is the speed of B ?
If the numerator of a fraction is increased by 20% and its denominator is diminished by 25% value of the fraction is 2/15. Find the original fraction?
Two goods train each 500 m long are running in opposite directions so parallel tracks.Their speeds are 45 kmph and 30 kmph respectively.Find the time taken by the slower train to pass the driver of the first one
Of the 200 math majors at a certain university, 50 percent will be assigned to advanced calculus on Monday and Wednesday and the remaining 70 percent will be assigned to advanced calculus on Tuesday and Thursday. However, 40 percent of the math majors prefer Tuesday and Thursday and 60 percent prefer Monday and Wednesday. What is the lowest possible number of math majors who will NOT be assigned to the days they prefer?
A box contains 25 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is
A certain team consists of 3 professors and 5 teaching assistants. How many different teams of 3 can be formed in which at least one member of the group is a professor? (Two groups are considered different if at least one group member is different.)
A biker covered half the distance between two towns in 2 hr 30 min. After that he increased his speed by 2 km/hr. He covered the second half of the distance in 2 hr 20 min. Find the distance between the two towns and the initial speed of the biker.
A circular path of 13 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2?
There are 1000 students in a school and among them 30 % of them attends chess class. 10% of the students who are in the chess class are also enrolled for swimming. No other students are interested in swimming so how many will attend the swimming class if all enrolled attends?
A teacher grades students’ tests by subtracting twice the number of incorrect responses from the number of correct responses. If Student A answers each of the 100 questions on her test and receives a score of 76, how many questions did Student A answer correctly?
If x + 4 > 2 and x - 3 < 7, the value of x must be between which of the following pairs of numbers?
Of 30 applicants for a job, 12 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree?
X and Y invested in abusiness. They earned some profit which they divided in the ratio of 2 : 3. If X invested Rs. 40,000, the amount invested by Y is :
Sabrina is contemplating a job switch. She is thinking of leaving her job paying $85,000 per year to accept a sales job paying $45,000 per year plus 30 percent commission for each sale made. If each of her sales is for $1,500, what is the least number of sales she must make per year if she is not to lose money because of the job change?
If an object travels at two feet per second, how many feet does it travel in one hour?
The series of differences between consecutive prime numbers is represented as dp1, dp2, dp3, .... dpn .Whare dp1 is the difference between the second and the first prime number. Find the sum of series when n = 23, given that the 23rd prime number is 83 ?
The triplicate ratio of 1:3 is?
25.25/3000 is equal to:
80 x 100 + 80 x 11 = ?
If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 190 games will be played during the tournament. What is the number of participants?
If a certain toy store's revenue in November was 2/3 of its revenue in December and its revenue in January was 1/3 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?
Find the invalid no.from the following series 3, 7, 15, 27, 63, 127, 255
How many multiples of 100 are there between 100 and 1000 (both are inclusive)?
A motorcyclist started riding at highway marker A, drove 120 miles to highway marker B, and then, without pausing, continued to highway marker C, where she stopped. The average speed of the motorcyclist, over the course of the entire trip, was 40 miles per hour. If the ride from marker A to marker B lasted 3 times as many hours as the rest of the ride, and the distance from marker B to marker C was half of the distance from marker A to marker B, what was the average speed, in miles per hour, of the motorcyclist while driving from marker B to marker C?
If the line L passes through the point (3,n) and (n,3), where n is not equal to 3, which of the following must be true? 1. Line L does pass the origin. 2.Line L must passes through the first quadrant. 3.The slope of L is negative
Dave has no fashion sense, and will wear any combination of garments regardless of whether someone thinks they “match.” Every day Dave chooses an outfit consisting of one of each of the following garments: jacket, tie, shirt, pants, boxers, right sock, left sock, right shoe, left shoe. If Dave has more than one of each of the listed garments, and can make 90,000 different outfits, then for how many garments does Dave have exactly five choices?
Which of the following fractions is at least twice Smaller than 13/50?
Bhatia, Ashtikar and Singh begin to play with Rs 70 each. At the end the ratio of the amounts left with Ashtikar and Singh is 1 : 2 and of those with Singh and Bhatia is 4 : 1. What is Singh's gain (in Rs)?
If a number between 10 and 20 (inclusive) at random. What is the probability that the tens digit is greater than ones digit?
If k is an integer and 2 < k < 8, for how many different values of k is there a triangle with sides of lengths 2, 6, and k?
A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is:
If circles x and y have the same area and circle x has a circumference of 20π, half of the radius of circle y is:
If the radius of a circle is decreased 60%, what happens to the area?
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 36 hours respectively. The ratio of their speeds is?
Let n be divided by 5,and the remainder obtained is 4. What will be the remainder when 5 divided by 2n?
The difference between a number and its two-fifth is 510. What is 15% of that number?
If S is the sum of reciprocals of a list of consecutive integers from 15 to 24, inclusive, S is approximately equal to
An article is bought for Rs.800 and sold for Rs.600, find the loss percent?
At what rate percent on simple interest will a sum of money double itself in 50 years?
In a zoo, the ratio of the number of cheetahs to the number 4 then what is the increase in the number of pandas?
A fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans. A customer bought the pair of jeans for 35 percent more than the retailer paid for them. The price the customer paid was what percent greater than the cost of manufacturing the jeans?
In a 1200 m race Usha beats Shiny by 50 m. In the same race, by what time margin Shiny beat Mercy who runs at 4 m/s ?
9823 + x = 13200, then x is ?
If 8 women can color 400 m long cloth in 5 days, then 10 women can color 500 m long cloth in?
A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than 70% marks is
If 10 % of an electricity bill is deducted, 45 is still to be paid. How much was the bill?
A three-person committee must be chosen from a group of 8 professors and 10 graduate students. If at least one of the people on the committee must be a professor, how many different groups of people could be chosen for the committee?
Lorna invests $6000, 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?
If the number 97215 * 6 is completely divisible by 11, then the smallest whole number in place of * will be:
Working together, Tim and Tom can type 12 pages in one hour. If they would be able to type 15 pages in one hour if Tom increases his typing speed by 30%, what is the ratio of Tom's normal typing speed to that of Tim?
If |t|=−t, which of the following must be true?
60 percent of movie theatres in Town X have 3 screens or less. 20% of those theatres sell an average of more than $200 worth of popcorn per showing. 56 percent of all the movie theatres in Town X sell $300 or less of popcorn per showing. What percent of all the stores on the street have 4 or more screens and sell an average of more than $300 worth of popcorn per day?
The number of new words that can be formed by rearranging the letters of the word 'ALIVE' is
Four of the following five parts lettered a, b, c, d and e are exactly equal. Which of the following is not equal to the other four?
The radius of the two circular fields is in the ratio 5: 4 the area of the first field is what percent greater than the area of the second?
A can run 192 metre in 28 seconds and B in 32 seconds. By what distance A beat B?
At the end of the day, February 14th, a florist had 120 roses left in his shop, all of which were red, white or pink in color and either long or short-stemmed. A third of the roses were short-stemmed, 20 of which were white and 10 of which were pink. The percentage of pink roses that were short-stemmed equaled the percentage of red roses that were short-stemmed. If none of the long-stemmed roses were white, what percentage of the long-stemmed roses were red?
A shop sells 1 chocolate at the rate Rupee 1 each . You can exchange three warppers for one chocolate. If you have Rs. 15, what is the maximum number of chocolates you can get?
A discount of 20 percent on an order of goods followed by a discount of 40 percent amounts to
For an integer n greater than 1, n* denotes the product of all the integers from 1 to n inclusive. How many prime numbers are there between 7*+2 and 7*+7, exclusive ?
Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed
Seats for Mathematics,PhysicsandfBilogy in a school are in the ratio 5:7:8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
In 10 years,A will be 1.5 times as old as B was 10 years ago.If A is now 9 years older than B,the present age of B is :
The number of stamps that Kaye and Alberto had were in the ration of 6:4 respectively. After Kaye gave Alberto 5 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 8:6. As a result of the gift, Kaye had how many more stamps than Alberto ?
The area of a square is added to one of its sides, and the perimeter is then subtracted from this total, the result is 4. What is the length of one side?
The ratio of the present age of Sandy to that of Molly is 9:2. Eight years from now, the ratio of the ages of Sandy to Molly will be 5:2. What was Sandy's age 6 years ago?
Tom wants to buy items costing $25.35, $90.69, and $85.96. He earns $6.50 an hour doing odd jobs. If ten percent of his income is put aside for other purposes, how many hours must he work to earn the money he needs for his purchases? Round your answer to the nearest whole hour.
The ratio of the adjacent angles of a parallelogram is 5 : 10. Also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. What is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral?
Which of the following correctly lists the data sets in order of least to greatest standard deviation? I. 8, 13, 55, 12, 14, 64 II. 32, 32, 32, 32, 32, 32 III. 37, 38, 39, 40, 41, 42
One fourth of a solution that was 10 percent wheat by weight was replaced by a second solution resulting in a solution that was 16 percent wheat by weight. The second solution was what percent wheat by weight ?
How many different pairs of positive integers (a, b) satisfy the equation 1/a+1/b=34/41 ?
In Mike's opinion, his weight is greater than 65kg but leas than 72 kg. His brother does not agree with Mike and he thinks that Mike's weight is greater than 60kg but less than 70kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of different probable weights of Mike?
How many ways are there to select a subcommittee of 12 members from among a committee of 17?
A contractor undertook a project to complete it in 20 days which needed 5 workers to work continuously for all the days estimated. But before the start of the work the client wanted to complete it earlier than the scheduled time, so the contractor calculated that he needed to increase 5 additional men every 2 days to complete the work in the time the client wanted it: If the work was further increased by 50% but the contractor continues to increase the 5 workers o every 2 days then how many more days are required over the initial time specified by the client.
If the integer q is rounded to the nearest hundred, the result represents a 66 2/3 % increase over the value obtained when q is rounded to the nearest ten. which of the following is a possible value of q?
Two men can complete a piece of work in four days. Two women can complete the same work in eight days. Four boys can complete the same work in five days. If four men, eight women and 20 boys work together in how many days can the work be completed?
A city council will select 2 of 7 available firefighters and 1 of 6 available police officers to serve on an advisory panel. How many different groups of 3 could serve on the panel?
Angela has 13 pairs of matched socks. If she loses 7 individual socks, which of the following is NOT a possible number of matched pairs she has left?
A store sells a certain product at a fixed price per unit. At the product's current price, e units cost a total of exactly $300. If the price were lowered by $5 from its current value, then e + 2n units would cost exactly $300; if the price were raised by $5, then e – n units would cost exactly $300. What is the value of e?
A train of length 240 metres takes 60 seconds to cross a tunnel of length 450 metres. What is the speed of the train in km/hr?
All of the students of Music High School are in the band, the orchestra, or both. 50 percent of the students are in only one group. There are 140 students in the band. If 20 percent of the students are in the band only, how many students are in the orchestra only?
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 50 years now, the son's age 10 years back was:
A man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses. Next year his income increases by 50% but his savings increase by 100%. If his total expenditure in 2 years is double his expenditure in 1st year, What %age of his income in the first year did he save?
Consider below info to be a table: AMOUNT OF BACTERIA TIME - AMOUNT 1PM - 10gms 4PM - x gms 7PM - 10.0 gms Data for a certain biology experiment are given in the table above. If the amount of bacteria present increased by the same factor during each of the two 3-hour periods shown, how many grams of bacteria were present at 4PM ?