Datasets:
dfdsfgf
/
big_math_dataset

Dataset card Data Studio Files
xet
Community
1
question
stringlengths
3
1.14k
Three-fourth of a positive number and 25/216 of its reciprocal are equal. The number is:
The guidelines at a certain college specify that for the introductory English class, the professor may choose one of six specified novels, and choose two plays from a list of 6 specified plays. Thus, the reading list for this introductory class has one novel and two plays. How many different reading lists could a professor create within these parameters?
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
In N is a positive integer less than 200, and 27N/60 is an integer, then N has how many different positive prime factors?
Adding 20% of x to x is equivalent to multiplying x by which of the following?
Dan has a membership at a local gym that also gives classes three nights a week. On any given class night, Dan has the option of taking yoga, weight training, or kickboxing classes. If Dan decides to go to either one or two classes per week, how many different combinations T of classes are available?
How many different possible arrangements A can be obtained from the letters G, M, A, T, I, I, and T, such that there is at least one character between both I's?
Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
. Ram sold two bicycles, each for Rs.990. If he made 10% profit on the first and 10% loss on the second, what is the total cost of both bicycles?
At 6′o a clock ticks 6 times. The time between first and last ticks is 20 seconds. How long does it tick at 12′o clock
How much 50% of 56 is greater than 30% of 50?
A and B together can do a work in 6 days. If A alone can do it in 15 days. In how many days can B alone do it?
The closest approximation of F(69.28 × 0.004)/0.03 is
The number of natural numbers n such that (n+1)^2/(n+7) is an integer, is ?
Mary, Peter, and Lucy were picking chestnuts. Mary picked twice as much chestnuts than Peter. Lucy picked 2 kg more than Peter. Together the three of them picked 26 kg of chestnuts. How many kilograms did each of them pick?
If a = 105 and a^3= 21 * 25 * 315 * b, what is the value of b?
A chair is bought for Rs.600/- and sold at a loss of 10% find its selling price?
A single discount equivalent to the discount series of 15%, 10% and 5% is?
If n is a prime number, which of the following could be true
What is the product of the greatest 2 digit multiple of 13 and the greatest 2 digit prime number?
In the rectangular coordinate system, what is the area of triangle CDE with points C=(3,3) D=(1,4) E=(8,0)
H, Be, F, S, Mn, Kr, In, Gd, Tl, ? What's the next in the sequence ?
Pipe A can fill a tank in 12 hours. Due to a leak at the bottom, it takes 18 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
A man has Rs. 160 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 ?
Two cars cover the same distance at the speed of 50 and 63 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car.
A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water in ?
Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 12 seconds, the speed of each train (in km/hr) is
If 5a + 7b = l, where a and b are positive integers, what is the largest possible value of l for which exactly one pair of integers (a, b) makes the equation true?
An even positive integer 'x' has 'y' positive integral factors including '1' and the number itself. How many positive integral factors does the number 4x have?
What is Sonia’s present age? I. Sonia’s present age is five times Deepak’s present age. II. Five years ago her age was twenty-five times Deepak’s age at that time.
6 boys and 4 girls appeared in a exam. If 4 students are failed how many chances at least one girl is failed?
How long will a boy take to run round a square field of side 30 meters, if he runs at the rate of 12km/hr?
A motor pool has 800 vehicles of which 30 percent are trucks. 20 percent of all the vehicles in the motor pool are diesel, including 15 trucks. What percent of the motor pool is composed of vehicles that are neither trucks nor diesel?
Angelo and Isabella are both salespersons. In any given week, Angelo makes $570 in base salary plus 8 percent of the portion of his sales above $1,000 for that week. Isabella makes 10 percent of her total sales for any given week. For what amount of weekly sales would Angelo and Isabella earn the same amount of money?
46-3*4^2+15 = ?
What is the next number of the following sequence 5, 25, 61, 113,?
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?
The probability that a brand A widget is defective is x, the probability that a brand B widget is defective is 0.06, and the probability that a brand C widget is defective is 0.08. There are 40 brand A widgets, 35 brand B widgets, 25 brand C widgets, and nothing else in a container. If a widget is selected at random from the container, the probability that the widget selected is defective is 0.053. What is the value of x?
Victor gets 80 % marks in examinations. If these are 240 marks, find the maximum marks.
Mr. Smith calculated the average of 10 three digit numbers. But due to a mistake he reversed the digits of a number and thus his average increased by 59.4. The difference between the unit digit and hundreds digit of that number is :
If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
John has taken four (8) tests that have an average of 82. In order to bring his course grade up to a ‘B’, he will need to have a final average of 87. What will he need to average on his final two tests to achieve this grade?
If the average (arithmetic mean) of a list of numbers is 12 and the standard deviation of that list of numbers is 1.3, then which of the following numbers is more than two standard deviations from the mean? I. 13.2 II. 12.3 III. 9.3
If Shreehari walks in the speed of 4.5 km/hr from his house, in what time will he reach his school which is 750 m long from his house?
At Company K, 15 percent of the employees are secretaries and 60 percent are salespeople. If there are 60 other employees of Company K, how many employees does Company K have?
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
How many minutes does it take Sharuk to type 25 words if he types at the rate of 5 words per minute?
96% of the population of a village is 23040. The total population of the village is?
The 4 sticks in a complete bag of Pick-Up Sticks are all straight-line segments of negligible width, but each has a different length: 1 inch, 2 inches, 3 inches, and 4 inches, respectively. If Tommy picks a stick at random from each of 3 different complete bags of Pick-Up Sticks, what is the probability C that Tommy CANNOT form a triangle from the 3 sticks?
I remember during the school days , the teacher asked the class "can you tell me the sum of the first 50 odd numbers ?". I ran quickly to the teacher and told her "the answer is 2500". The teacher replied "lucky guess". She then asked me "can you tell me the sum of first 75 odd numbers ?". I wait for approx 10 seconds and replied with the correct answer. How can i answer so quickly and whats the correct answer ?
Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years. Year Item of Expenditure Salary Interest on Loans and Transport Bonus Fuel Taxes 1998 288 98 3.00 23.4 83 1999 342 112 2.52 32.5 108 2000 324 101 3.84 41.6 74 2001 336 133 3.68 36.4 88 2002 420 142 3.96 49.4 98 The total amount of interest on loans paid by the company during the given period is approximately what percent of the total amount of salary paid during this period?
Paul and John are in a relay race. Paul runs the first leg of the course in 22 seconds. Ben runs the second leg of the course in 53 seconds. What was the average time they took to run a leg of the course?
How many two-digit numbers are there such that all two digits are different and the first digit is not zero?
A child want to buy 5 new toys. If there are 15 toys that satisfy the child's criteria,in how many different ways can the child select the 5 new toys if the order of selection doesn't matter.
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is?
what is the next term of this series6,10,9,15,12...?
For 600 km journey it will take 8hrs, if 120 km is done by bus and the rest by car. It takes 20 minutes more, if 200 km is done by busand the rest by car. The ratio of the speed of the train to that of the cars is?
If g(x) = ax^5 + bx^3 + 2, and g(5) = 10, then g(–5) =?
A 70 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together?
12+6=792 10+2=110 1+9=9 2+7=16 11+4=?? Solve it?
If 20 typists can type 50 letters in 30 minutes, then how many letters will 40 typists working at the same rate complete in 1 hour?
Ages of two sisters differ by 9 years. If 5 years ago, the elder one was twice as old the younger one, find their present age
Analyze the number square carefully and find out what number fits in place of question mark. 35 20 14 27 12 18 6 4 ?
If A, B and C together can finish a piece of work in 4 days. A alone in 12 days and B in 18 days, then C alone can do it in?
To reach her destination, Jeanette must drive 90 miles. If she drives 5 miles every 6 minutes, how much time will it take her to reach her destination?
If the number of 194,n70, where n represents the hundreds digit, is a multiple of 9, then the value of n could be which of the following?
How many two letter words are formed using the letters of the word BOOK?
A gambler bought $4,000 worth of chips at a casino in denominations of $20 and $100. That evening, the gambler lost 16 chips, and then cashed in the remainder. If the number of $20 chips lost was 2 more or 2 less than the number of $100 chips lost, what is the largest amount of money that the gambler could have received back?
A garrison of 400 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?
The temperature of a certain cup of coffee 2 minutes after it was poured was 120 degrees Fahrenheit. If the temperature F of the coffee t minutes after it was poured can be determined by the formula F = 120*2^(-at) + 60, where F is in degrees Fahrenheit and a is a constant. Then the temperature of the coffee 30 minutes after it was poured was how many degrees Fahrenheit?
Statement: Put thechild in school at the age of 5. Assumptions: At that age the child reaches appropriate level of development and is ready to learn. The schools do not admit children after 6years of age.
A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number M is
On what dates of April, 2001 did Wednesday fall?
At a supermarket, John spent 1/2 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/10 on bakery products. If he spent the remaining $8 on candy, how much did John spend at the supermarket?
The table below shows the enrollment in various classes at a certain college. Class | Number of Students Biology | 58 Physics | 35 Calculus | 40 Although no student is enrolled in all three classes, 15 are enrolled in both Biology and Physics, 10 are enrolled in both Biology and Calculus, and 12 are enrolled in both Physics and Calculus. How many different students are in the three classes?
How many words can be formed by using all the letters of the word “DAUGHTER” so that vowels always come together & vowels are never together?
How many possible ways are there to select 3 stocks at random from 7 stocks?
If Raj walks at 12.5 km/hr instead of 10 km/hr, he would have walked 6 km more. The actual distance traveled by him during this period is?
If the population of a certain country increases at the rate of one person every 30 seconds, by how many persons does the population increase in 10 minutes?
Length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
The maximum number of students among them 1230 pens and 920 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is:
A train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 85 seconds. What is the length of the train in meters?
The ratio of the incomes of Lakshmi and Latha is 5:4 and the ratio of their expenditure is 4:3. If at the end of the year, each saves $6000 then the income of Lakshmi is?
If daily wages of a man is four times to that of a woman, how many men should work for 20 days to earn Rs.14400? Given that wages for 40 women for 30 days are Rs.21600.
One half of a two digit number exceeds its one third by 7. What is the sum of the digits of the number?
Doug, who runs track for his high school, was challenged to a race by his younger brother, Matt. Matt started running first, and Doug didn’t start running until Matt had finished a quarter-mile lap on the school track. Doug passed Matt as they both finished their sixth lap. If both boys ran at a constant speed, with Doug running 2 miles an hour faster than Matt, what was Matt’s speed?
A person plans to start a business with x% of a list of 10,000 products in his inventory. Next year after a business loss, the person wants to reduce the list by (x − 4)%. In terms of x, how many products will be in the inventory?
A grocer has 400 pounds of coffee in stock, 20 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated, what percent, by weight, of the grocer’s stock of coffee is decaffeinated?
A father was as old as his son's present at the time of your birth. If the father's age is 38 years now, the son's age 5years back was?
If n is an integer and n^4 is divisible by 32, which of the following could be the remainder when n is divided by 32?
The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary?
n is a whole number which when divided by 4 gives 3 as remainder. What will be the remainder when 2n is divided by 4 ?
Find the value for m? 19(m + n) + 17 = 19(-m + n) - 59
In what time will a train 300 m long cross an electric pole, it its speed be 144 km/hr?
24 = 3a + 5b 3 > |–a| If ‘a’ and ‘b’ are both integers, then what is the highest possible values of ‘b’ that can be used to solve the above equation.
Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 15 minutes. The waste pipe can empty the full cistern in?
A trader purchased two colour televisions for a total of Rs. 35000. He sold one colour television at 30% profit and the other 40% profit. Find the difference in the cost prices of the two televisions if he made an overall profit of 32%?
In August,a cricket team that played 120 matches won 28% of the games it played.After a continuous winning streak,this team raised its average to 52%.How many matches did the team win to attain this average?
If 13 lions can kill 13 deers in 13 minutes how long will it take 100 lions to kill 100 deers?