Datasets:
dfdsfgf
/
big_math_dataset

Dataset card Data Studio Files
xet
 Community
1
question
stringlengths
3
1.14k
If the sum of one-half of a number exceeds one-third of that number by 7 1/3, the number is:
A relay has a series of 5 circuits in a line. The even-numbered circuits are control circuits; the odd are buffer circuits. If both a control circuit and the buffer circuit immediately following it both fail in that order, then the relay fails. The probability of circuit one failing is 3/8; circuit two, 1/8; circuit th...
Coins are to be put into 12 pockets so that each pocket contains at least one coin. At most 8 of the pockets are to contain the same number of coins, and no two of the remaining pockets are to contain an equal number of coins. What is the least possible number of coins needed for the pockets?
The sum of n terms of a series in A.P is 6n2 + 6n. What is the 4 th term of the series?
In covering a distance of 120 km, A takes 2 hours more than B. If A doubles his speed, then he would take 1 hour less than B. A's speed is:
39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
How many seconds does Sandy take to cover a distance of 600 meters, if Sandy runs at a speed of 15 km/hr?
How many different subsets of the set {10, 14, 15, 24} are there that contain an odd number of elements?
The radius of a semi circle is 6.3 cm then its perimeter is?
From a group of boys and girls, 15 girls leave. There are then left 2 boys for each girl. After this, 45 boys leave. There are then 5 girls for each boy. Find the number of girls in the beginning?
Find the average of first 10 natural numbers.
Two partners in a business (Miles and King) invested $1200 and $2000 in a business respectively. At the end of the year they made a profit of $1500. Find share of each partner?
Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120?
The average weight of 18 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
The CP of 20 apples are the same as the SP of y apples. If the profit is 25%, then the value of y is?
If x and y are positive integers and 42x=56y what is the least possible value of xy?
The greatest possible length which can be used to measure exactly the length 8m, 4m 84cm, 11 m 90 cm is
What is the diagonal of a square field whose perimeter is 24m?
If 13 and 17 are prime numbers, which of the following CANNOT be the sum of a and b?
A bag contains 6 green balls and 7 white balls. If two balls are drawn simultaneously, what is the probability that both balls are the same colour?
a man purchased earphone on friday.but he forgot how much it cost.the data he have are mean expenditure of all 7 days is 500.expenditure on mon,tue,wed,thurs,sat,sun are 450,600,400,500,550,300.on friday he purchased three things one earphone,one pen and one notebook.pen cost 30 and notebook cost 50.then what is cost o...
A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs.1850?
xy=1 then what is (5^(x+y)^2) / (5^(x-y)^2)
The diagonals of a rhombus are 12 cm and 20 cm. Find its area?
k, l, m together started a business. k invested Rs.6000 for 5 months l invested Rs.3600 for 6 months and m Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of l ?
Divide Rs. 1200 among A, B and C so that A receives 1/3 as much as B and C together and B receives 2/3 as A and C together. A's share is?
The side of a cube is 12 m, find the lateral surface area?
Subtracting 4% of A from A is equivalent to multiplying A by how much ?
The ratio of pens to pencils is 5 to 6. There are 6 more pencils than pens. How many pencils are there?
A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
The number of positive integer solutions for the equation x +y +z + t = 21 is
In ΔPQS above, if PQ =4 and PS = 5, then
If 4 men working 10 hours a day earn Rs. 1400 per week, then 9 men working 6 hours a day will earn how much per week?
A contractor hires 100 men to finish a job in 50 days. After 20 days, n men leave. After some more days, the contractor hires 2n more men to complete the job on time. For how many days did these 2n men work?
A sum of Rs. 1550 was lent partly at 5% and partly at 8% p.a. simple interest. The total interest received after 3 years was Rs. 300. The ratio of the money lent at 5% to that lent at 8% is:
A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 30. Find the profit percentage?
A train 280 m long passed a pole in 20 sec. How long will it take to pass a platform 720 m long?
Baseball's World Series matches 2 teams against each other in a best-of-seven series. The first team to win four games wins the series and no subsequent games are played. If you have no special information about either of the teams, what is the probability W that the World Series will consist of fewer than 7 games?
If the day before yesterday was Wednesday, when will Sunday be?
After taking N tests, each containing 100 questions, John had an average of 70% of correct answers. How much does John need to score on the next test to make his average equal 71%? M13-03.
A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
The average of six numbers is 30. If the average of first four is 25 and that of last three is 35, the fourth number is :
A jar full of whiskey contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohols and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced of whisky replaced is
How many different two-letter initials with none of the letters repeated can people have?
During a poker game, 8 people are to be seated around a circular table. two seating arrangement are considered different only when the position of the people are different relative to each other. what is the total number of possible seating arrangements for the group?
((-1.9)(0.6) – (2.6)(1.2))/8.0 = ?
An association of mathematics teachers has 1,500 members. Only 525 of these members cast votes in the election for president of the association. What percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast?
The ratio of three numbers is 5:3:4 and their sum is 108. The second number of the three numbers is?
Solve the following system of equations: x-y-z = 0 3x+4y+3z = 4 5x+2y+7z = 22
Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5%?
Mary goes into labor at her local grocery store and is rushed to a hospital in an ambulance traveling 60mph. Her husband Don drives after the ambulance at an average speed of 30mph. Mary reaches the hospital fifteen minutes later. How long does it take Don to get there from the store?
Set A consists of integers -9, 8, 3, 10, and J; Set B consists of integers -2, 5, 0, 7, -6, and W. If R is the median of Set A and W is the mode of set B, and R^W is a factor of 34, what is the value of W if J is negative?
James took a 3-hour bike ride. In the second hour he traveled 36 miles, which was 20 percent farther than he traveled the first hour. If he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?
If k and w are the dimensions of a rectangle that has area 60, and if k and w are integers such that k > w, what is the total number of possible values of k?
A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively. When it is successively divided by 5 and 4, then the remainders will be.
What is the area of square field whose side of length 12 m?
Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 100. what is the value of x ?
John and Jacob set out together on bicycle traveling at 12 and 9 miles per hour, respectively. After 40 minutes, John stops to fix a flat tire. If it takes John one hour to fix the flat tire and Jacob continues to ride during this time, how many hours will it take John to catch up to Jacob assuming he resumes his ride ...
Divide 71 into 2 parts such that 1 part exceeds the other by 8. What are the 2 no.'s in that part?
If 5.51*10^k = 0.0551, then the value of k is:
If "x" is an integer, which of the following inequalities have a finite range of values of "x" satisfying them?
Find the value of (√1.21)/(√0.64) + (√1.44)/(√0.49) is
A train 550 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
The combined age of husband and wife on their 20th wedding anniversary was twice than it was at the time of wedding. If the husband is 3 years older than his wife. How old was he at the time of his marriage?
A man walking at a rate of 15km/hr crosses a bridge in 15 minutes. The length of the bridge is?
How many different ways can 2 students be seated in a row of 8 desks, so that there is always at least one empty desk between the students?
How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?
A train 200 m long crosses a platform 200 m long in 40 sec; find the speed of the train?
A reduction of 25% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 30 kmph at 8 p.m. from Delhi. When will they meet?
A, B and C enter into a partnership. They invest Rs. 70,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?
Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 42 years. What is Deepak present age.
The total weight of six nougat nuggets is 4 oz. What is the average (arithmetic mean) weight of one such nougat nugget?
Two friends P & Q started a business investing amounts in the ratio of 5 : 6. R joined them after six months investing an amount equal to that of Q’s amount. At the end of the year 25% profit was earned which was equal to 98,000. What was the amount invested by R?
The membership of a committee consists of 4 English teachers, 2 Mathematics teachers, and 2 Social Studies teachers. If 2 committee members are to be selected at random to write the committee’s report, what is the probability that the two members selected will both be English teachers?
Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 4 to 6. If one of the four staff members worked on the project for 24 hours, which of the following CANNOT be the total number of hours that the four staff membe...
Given the following factorials (x+3)!, (x-2)!, and (x+4)! what is the value of x if the greatest common divisor is 720?
In year Y imported machine tools accounted for 25 percent of total machine - tool sales in the United States, and Japanese imports accounted for 35 percent of the sales of imported machine tools. If the total sales of machine tools imported Japan that year was x billion dollars, then the total sales of all machine tool...
if price of t.v set is reduced by 18%, then its sale increases by 88%, find net effect on sale value
How many pages do you need if you have to write 150 lines of information into pages that each hold 30 lines?
Which of the following must be true? 1) Every prime number greater than 5 can be written as either as 5n+1 or 5n-1 2) Every prime number greater than 5 can be written as 4n+1 or 4n-1 3) Every number greater than 5 of the form 5n+1 or 5n-1 is a prime number.
The radius of a circle is increased by 1%. Find how much % does its area increases?
At a circular table for seven will sit five adults and two small children. The two children will sit next to each other, and the two parents of the children will sit next to the children so that there is one parent on each side of the two children. If rotating their positions around the table is not considered changing...
Three partners A, B and C start a business. B's capital is four times C's capital and twice A's capital is equal to thrice B's capital. If the total profit is Rs 16500 at the end of a year, find out B's share in it.
A coin has two sides. One side has the number 1 on it and the other side has the number 2 on it. If the coin is flipped three times what is the probability that the sum of the numbers on the landing side of the coin will be greater than 3?
The number x of cars sold each week varies with the price y in dollars according to the equation x = 800,000 – 50y. What would be the total weekly revenue, in dollars, from the sale of cars priced at $ 14,000?
(x + 7) is a factor in x^2 - mx - 35. What is the value of m?
If the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 22, what is the value of r-p?
A and B together invested Rs. 12,000 in a business. At the end of the year, out of total profit is Rs. 2,000 B's share was Rs. 500. A's investment was
What is the smallest integer that is the sum of 2 distinct prime integers, each greater than 70 ?
In what ratio must rice of Rs.30 per kg be mixed with rice of Rs.56per kg so that cost of mixture is Rs.35 per kg?
Three is the largest number that can be divided evenly into 27 and the positive integer x, while 10 is the largest number that can be divided evenly into both 100 and x. Which of the following is the largest possible number that could be divided into x and 2400
One fourth of one third of two fifth of a number is 14. What will be40% of that number
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
A and B complete a work in 6 days. A can alone can do it in 10 days. If both can together can do the work in how many days?
In what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way?
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, then how old is B?
At a certain automobile dealership that sells only Tajima's and Franks, the number of non hybrid Tajima's is 35 less than 3 times the number of hybrid Tajima's. 205 total Tajima's are currently owned by the dealership. If the ratio of hybrid Tajima's to non hybrid Franks is 5:4 and there are 280 total automobiles owned...
27 * 27* 27 * 27 = 3^ ?