Datasets:
dfdsfgf
/
big_math_dataset

Dataset card Data Studio Files
xet
 Community
1
question
stringlengths
3
1.14k
A dog breeder currently has 9 breeding dogs. 6 of the dogs have exactly 1 littermate, and 3 of the dogs have exactly 2 littermates. If 2 dogs are selected at random, what is the probability W that both selected dogs are NOT littermates?
Fifteen telegenic contestants with a variety of personality disorders are to be divided into two “tribes” of four members each, tribe A and tribe B, for a competition. How many distinct groupings of two tribes are possible?
Find the value of x: x² − 3x + 2
By selling a house for Rs.45000, it was found that 1/8 of the outlay was gained, what ought the selling to price to have been in order to have lost 10 p.c?
A train 1200 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?
If 1 pound of dried apricots that cost x dollars per pound are mixed with 2 pounds of prunes that cost y dollars per pound, what is the cost, in dollars, per pound of the mixture?
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.75 km and 1.25 km respectively. The time taken by the slower train to cross the faster train in seconds is?
Every digit of a number written in binary is either 0 or 1. To translate a number from binary, multiply the nth digit (reading from right to left) by 2^(n-1) What is the largest prime number (written in binary) that is a factor of both 1010000 and 10100000 ?
An optometrist charges $150 per pair for soft contact lenses and $85 per pair for hard contact lenses. Last week she sold 5 more pairs of soft lenses than hard lenses. If her total sales for pairs of contact lenses last week were $2,160, what was the total number of pairs of contact lenses that she sold?
One pump drains one-half of a pond in 2 hours, and then a second pump starts draining the pond. The two pumps working together finish emptying the pond in one-half hour. How long would it take the second pump to drain the pond if it had to do the job alone?
Huey's Hip Pizza sells two sizes of square pizzas: a small pizza that measures 14 inches on a side and costs $10, and a large pizza that measures 21 inches on a side and costs $20. If two friends go to Huey's with $30 apiece, how many more square inches of pizza can they buy if they pool their money than if they each p...
Find a sum for 1st 7 prime number's?
If x is a positive number and 2 the square root of x is equal to x/2, then x =
A movie buff owns movies on DVD and on Blu-ray in a ratio of 7:2. If she buys 4 more Blu-ray movies, that ratio would change to 13:4. If she owns movies on no other medium, what was the original number of movies in her library before the extra purchase?
If seven persons sit in a row, then the probability that three particular persons are always together is?
There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle?
If p is not equal to zero, and p+1/p = 5, then what is the value of p^4 + (1/p)^4?
Doug bought bananas on sale for 5% off the original price and another 10% off the discounted price. If the final price was $5, what was the price before the first discount?
Sequence W consists of 16 consecutive integers. If -6 is the least integer in sequence W, what is the range of the positive integers in sequence W?
What is the product of all positive factors of 24?
A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
For any real number x, the operatoris defined as: (x) = x(4 − x) If p + 1 =(p + 1), then p =
Three cards are randomly selected, one at a time (without return), from a standard deck of 52 cards. What is the probability that the last two of the three cards are spades? (Answer in lowest terms).
A pineapple costs Rs 7 each and a watermelon costs Rs. 5 each. If I spend Rs 38 on total what is the number of pineapple I purchased?
If the set S is composed of the following numbers {99, 100, 100, 105, 106, 115, 124}, which of the following is largest?
If f(x)= 2x^2- 3x+5 and g(y)= 2y-4, then g(f(x))
Jack and Dick work at a hospital with 4 other workers. For an internal review, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Jack and Dick will both be chosen?
In how many a committee of 5 members can be selected from 6 men 5 ladies consisting of 3 men and 2 ladies
A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 3300 in all from both of them as interest. The rate of interest per annum is?
Sripad has scored average of 60 marks in three objects. In no subjects has he secured less than 58 marks. He has secured more marks in Maths than other two subjects. What could be his maximum score in Maths ?
(a/2)/(b/c) In the expression above, a, b, and c are different numbers and each is one of the numbers 1, 2, or 4. What is the largest possible value of the expression?
Find the unit's digit in (264)^102 + (264)^103
How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 40 m long and 16 1/2 m board?
If x is an integer and (x)(x^2)(x^3)(x^4) is positive, which of the following could be negative?
Last year a certain bond yielded 5 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $8,500, what is the bonds face value?
What will be the compound interest earned on an amount of Rs. 5000 in 2 years? I. The simple interest on the same amount at the same rate of interest in 5 years is Rs. 2000. II. The compound interest and the simple interest earned in one year is the same. III. The amount becomed more than double on compound interest in...
A polling company reports that there is a 20% chance that a certain candidate will win the next election. If the candidate wins, there is a 60% chance that she will sign Bill X and no other bills. If she decides not to sign Bill X, she will sign either Bill Y or Bill Z, chosen randomly. What is the chance that the cand...
Two pipes A and B can fill a cistern in 22 and 44 minutes respectively, and a third pipe C can empty it in 48 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
How many positive integers will divide evenly into 230?
Find the next number in the Sequence 8, 18, 48, 98, ?
If $0.40 is the commission for sales of $1,000, what percent of the sales amount is the commission?
A reduction of 20% in the price of salt enables a lady to obtain 10kgs more for Rs.100, find the original price per kg?
A problem in mathematics is given to three students A, B and C whose chances of solving it are 1/2, 3/4 and 1/4 respectively. What is the probability that the problem will be solved if all of them try independently.
Large number of people went to an party and they decided to make some fun at the bar. The first person asks the barman for half a pint of beer. The second person asks for a quarter pint of beer The third person asks for one-eighth of beer and so on ... How many pints of beer will the barman need to fulfill the people n...
Mr. CRUISE invested in Fund X and Fund Y. The total amount she invested, in both funds combined, was $200,000. In one year, Fund X paid 48% and Fund Y paid 23%. The interest earned in Fund Y was exactly $100 greater than the interest earned in Fund X. How much did Ms. Tom invest in Fund X?
What will come in place of the x in the following Number series? 1. 0, 6, 24, 60, 120, 210, x
The distance traveled by Helicopter in one year approximately 750,000,000 miles.The distance traveled by helicopter in 15 years?
A does a work in 10days and B does the same work in 15days. In how many days they together will do the same work?
A set consist of 2k-1 element. What is the number of subsets of this set which contain at most k-1 elements?
A box contains 10 tablets of medicine A and 10 tablets of medicine B. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.
Two trains each 170m in length each, are running on two parallel lines in opposite directions. If one goes at the speed of 55km/h while the other travels at 50km/h. how long will it take for them to pass each other completely.
Of 60 children, 30 are happy, 10 are sad, and 20 are neither happy nor sad. There are 19 boys and 41 girls. If there are 6 happy boys and 4 sad girls, how many boys are neither happy nor sad?
Hillary and Eddy are climbing to the summit of Mt. Everest from a base camp 4,900 ft from the summit. When they depart for the summit at 06:00, Hillary climbs at a rate of 800 ft/hr with Eddy lagging behind at a slower rate of 500 ft/hr. If Hillary stops 900 ft short of the summit and then descends at a rate of 1,000 f...
A began business with Rs.36000 and was joined afterwards by B with Rs.54000. When did B join if the profits at the end of the year were divided in the ratio of 2:1?
A district hospital treated 290 patients today, and each of them were either man, woman, or child. If it treated 10 more men than of children, and in equal as many men as women, how many children were treated ?
What annual installment will discharge a debt of Rs. 1008 due in 3 years at 12% simple interest?
The daily wage is increased by 50% and a person now gets Rs 25 per day. What was his daily wage before the increase ?
If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is?
A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done?
In how many ways the word "SCALE" can be arranged?
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 sum of money at simple interest amounts to Rs. 825 in 3 years and to Rs. 830 in 4 years. The sum is?
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero ?
If w>0.9, which of the following options can be the value of w?
In a class there are 10 boys and 15 girls. In how many ways can a boy and a girl be selected?
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 90 kmph and 72 kmph. In how much time will the trains cross each other?
How many seconds will a 650 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?
If ab represents a positive two-digit number, where a and b are one-digit integers, which of the following CAN be true?
If a card is randomly drawn from a well shuffled pack of cards, what is the probability of drawing a club, or a red jack, or a red queen, or the ten of spades?
The average age of the district level hockey team of eleven is 22 years.The average age gets increased by 1 year when the coach age is also included.what is the age of the coach ?
A box contains 2 red, 3 black and 4 blue balls. 3 balls are randomly drawn from the box. What is the probability that the balls are of different colors?
John walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 11 minutes earlier. How far is the office from his house?
A man can swim in still water at 12 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Child A has to sit next to both B & G, with these two children immediately adjacent to here on either side. The other four children can sit in any order in any of the remaining seats. How many possible configurations are there for the...
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is?
A plane flies 500 miles at a speed of r mph. If the plane flies at a speed of r + 250 miles per hour, it would fly the same distance in 1 hour less. What is the value of r?
Oliver travelled for 15 hours. He covered the first half of the distance at 40 kmph and remaining half of the distance at 45 kmph. Find the distance travelled by Oliver?
The element being searched for is not found in an array of 100 elements. What is the average number of comparisons needed in a sequential search to determine that the element is not there, if the elements are completely unordered?
If (A+B) = 11, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?
A 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 27, then how old is B?
John has on his shelf four books of poetry, four novels, and two reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one poetry?
In how many years will a sum of money doubles itself at 5% per annum on simple interest?
A department of ten people - six men and four women - needs to send a team of five to a conference. If they want to make sure that there are no more than three members of the team from any one gender, how many distinct groups are possible to send?
A customer bought a product at the shop. However, the shopkeeper increased the price of the product by 15% so that the customer could not buy the required amount of the product. The customer managed to buy only 60% of the required amount. What is the difference in the amount of money that the customer paid for the seco...
A batsman scored 120 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
The price of a jacket is reduced by 25%. During a special sale the price of the jacket is reduced another 10%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
In a certain game of dice, the player’s score is determined as a sum of two throws of a single die. The player with the highest score wins the round. If more than one player has the highest score, the winnings of the round are divided equally among these players. If John plays this game against 22 other players, what i...
In a two-digit, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:
X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.45000. What will be the ratio in which they should share the profit at the end of the year?
Katie has 9 employees that she must assign to 3 different projects. If 3 employees are assigned to each project and no one is assigned to multiple projects, how many different combinations C of project assignments are possible?
A bag contains 6 red, 5 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red?
Last year, Company X paid out a total of $1,050,000 in salaries to its 43 employees. If no employee earned a salary that is more than 20% greater than any other employee, what is the lowest possible salary that any one employee earned?
If x, y, and z are consecutive positive odd integers, not necessarily in that order, which of the following must be true? I. xy> z^4 II. (x + z)^5 > y III. x+y>z^4
When n liters of fuel was added to a tank that was already 2/3 full, the tank was filled to 8/9 of its capacity. In terms of n, what is the capacity of the tank, in liters?
Bob invested one half of his savings in a bond that paid simple interest for 2 years and received $500 as interest. He invested the remaining in a bond that paid compound interest (compounded annually) for the same 2 years at the same rate of interest and received $600 as interest. What was the annual rate of interest?
A fill pipe can fill 1/5 of tank in 25 minutes in how many minutes, it can fill 4/5 of the cistern?
At a dinner party, 5 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 W of different possible seating arrangements for the group?
The sale price of an article including the sales tax is616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is :
If both 5^2 and 3^3 are factors of n x (2^5) x (12^2) x (7^3) x (10), what is the smallest possible positive value of n?
An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.2400, what will be the difference between Q and R's share?