Datasets:
dfdsfgf
/
big_math_dataset

Dataset card Data Studio Files
xet
 Community
1
question
stringlengths
3
1.14k
A number of 41 marbles is to be divided and contain with boxes. If each box is to contain 3, 4, or 5 marbles, what is the largest possible number of boxes?
On a test, students receive 2 points for each correct answer and are penalized by losing one point for each incorrect answer. There are 6 questions on the test and each question has 4 answer options, A, B, C, and D. It is known that 5 of the questions have option B as the correct answer and one question has option C as...
When the integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8?
The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is:
In State X, all vehicle license plates have 3 letters from the 26 letters of the alphabet followed by 4 one digit numbers. How many different license plates can State X have if repetition of letters and numbers is allowed?
If there are 200 questions in a 3 hr examination. Among these questions are 15 type A problems, which requires twice as much as time be spent than the rest of the type B problems. How many minutes should be spent on type A problems?
How many of the following numbers are divisible by 132 ? 264, 396, 462, 792, 968, 2178, 5184, 6336
Simplify: 18800+470+20
In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State?
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 30 percent more than the retailer paid for them. The price the customer paid was what percent greater than the cost of manufacturing the jeans?
The length of a train and that of a platform are equal. If with a speed of 54 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Sum of the squares of three numbers is 222 and the sum of their products taken two at a time is 131. Find the sum?
The number of new words that can be formed by rearranging the letters of the word 'MACHINE' is ?
The expression x#y denotes the product of the consecutive multiples of 3 between x and y, inclusive. What is the sum of the exponents in the prime factorization of 21#36?
The distance between two planets is 3.04 × 10^8 light years. What is the distance between the two planets, in parsecs? (1 parsec = 3.26 light years)
The distance between a food bank and a church is approximately 8.0 x 10^5 inches. Which of the following is closest to the distance between the food bank and the church, in kilometers? (1 kilometer is approximately 3.9 x 10^4 inches.)
The equation x = 2y^2 + 5y - 18, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at x = -5, the equation for l is
The average ageof A, B and their C 3 years ago was 25 years and that of B and the C 5 years ago was 10 years. The present age of the A is:
David and Rachel are getting married. The extended family wants to have its picture taken, but David's father is unwilling to stand next to Rachel's mother. How many options does the photographer have to arrange the 4 family members in a row for the picture?
The lunch menu at a certain restaurant contains 4 different entrees and 5 different side dishes. If a meal consists of 1 entree and 2 different side dishes, how many different meal combinations Q could be chosen from this menu?
The present ages of Tim and Lee are in the ratio of 5:6 respectively. Seven years hence, the ratio of their ages will be 6:7 respectively. What is Tim's present age?
On decreasing the price of a colour TV by 15%, its sale is increased by 30%. The effect on the revenue is?
The perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle
Find the arithmetic mean W of all roots of the following equation- see an attachment.
The youngest of 4 children has siblings who are 1, 4, and 7 years older than she is. If the average (arithmetic mean) age of the 4 siblings is 17, what is the age of the youngest sibling?
judith is practicing her dance steps along with her friends. In a particular sequence, all of them form a row. At that point, judithis standing on the 9th position from either end of the row. Can you find out how many girls are practicing together?
A certain number X when divided by 243 leaves a remainder of 98. Which of the following can be subtracted from X to make X divisible by 81?
If selling price is doubled, the profit triples. Find the profit percent?
Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 4 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is?
Which term of the AP: 121, 117, 113, ...... is its first negative term?
Divide Rs. 1600 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?
If a person walks at 16 km/hr instead of 8 km/hr, he would have walked 20 km more. The distance traveled by him if he walked at 16 km/hr?
Of a certain group of 100 people, 40 graduated from High School O, 65 graduated from College Y, and 30 live in City Z. What is the greatest possible number of people in this group who did not graduate from High School O, did not graduate from College Y, and do not live in City Z ?
Kim is taking a math class, and the teacher gives a multiple choice test consisting of 7 questions. If each question has 4 answer choices, and Kim answers every question, in how many different ways can she complete the test?
If there are n rays and all of them are reversed after 2006 reversals, then a possible value of n is
If you keep rolling a pair of dice together till a sum of 5 or 7 is obtained, then what is the probability that a sum of 5 comes before a sum of 7?
A 100-litre mixture of milk and water contains 36 litres of milk. 'x' litres of this mixture is removed and replaced with an equal quantum of water. If the process is repeated once, then the concentration of the milk stands reduced at 16%. What is the value of x?
An inspector rejects 0.08% of the meters as defective. How many will he examine to reject 2?
A car during its journey travels 30 minutes at a speed of 40 kmph, another 45 minutes at a speed of 60 kmph, and 2 hours at a speed of 70 kmph.The average speed of the car is
A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
Nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw. If the total weight of one screw and one nail is half that of 6 screws and one nail, then the total weight of 3 screws, and 3 nails is how many times that of 4 screws and 2 nails?
A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
In how many V ways can the wordGMATbe arranged so that no such arrangement has A as the first letter?
A miniature gumball machine contains 5 blue, 4 green, and 1 red gumball, which are identical except for their colors. If the machine dispenses three gumballs at random, what is the probability that it dispenses one gumball of each color?
What is the maximum number E of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ?
A person can swim in still water at 20 km/h. If the speed of water 12 km/h, how many hours will the man take to swim back against the current for 40km?
Evaluate: 11 + sqrt(- 4 + 6×4÷3)
If n = 2p, where p is a prime number greater than 2, how many different positiveevendivisors does n have, including n ?
The product of all the prime numbers less than 25 is closest to which of the following powers of 10?
Somehow or other I got talked into buying something on the installment plan. I'm notsure I got a good deal. The payments to date,according to my checkbook, have reached Rs.96.The second year cost Rs.2.00 more than the first year; the third year cost Rs.3.00 more thanthe second; and the fourth year cost me Rs.4.00 more ...
A cubical block of metal weighs 7 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 2500 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
A, B and C shared profits in ratio of 5 : 7 : 8. Theypartnered for 10months, 8months and 7months respectively. What was he ratio of their investments ?
In a business, A and C invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by A and B was 3 : 2 . If B receive 18000,how much amount was their profit?
Arun makes a popular brand of ice cream in a rectangular shaped bar 6cm long, 5cm wide and 2cm thick. To cut costs, the company had decided to reduce the volume of the bar by 19%. The thickness will remain same, but the length and width will be decreased by some percentage. The new width will be,
The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 26. Which of the following integers is the higher of the remaining two integers?
Abel can complete a work in 10 days, Ben in 12 days and Carla in 15 days. All of them began the work together, but Abel had to leave after 2 days and Ben 5 days before the completion of the work. How long did the work last?
Robert ate 13 chocolates, Nickel ate 4 chocolates. How many more chocolates did Robert ate than nickel?
The difference between C.I. and S.I. on an amount of Rs. 15,000 for 2 years is Rs. 54. What is the rate of interest per annum?
The average age of 21 students of a class is 21 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years, The age of the 21th student is
The average (arithmetic mean) of 20, 40, and 60 is 9 more than the average of 10, 70, and what number?
What is the unit digit in(7^95 - 3^58)?
Ben and Shari have invited three other couples to their apartment for a game of charades. Everyone is to be split into two equal teams, but each team must consist of either two couples or no couples. How many different pairs of teams are possible?
If xx is chosen at random from the set {1,2,3,4} and yy is to be chosen at random from the set {5,6,7}, what is the probability that xy will be even?
7^b + 7^b + 7^b + 7^b + 7^b + 7^b + 7^b =
Calculate the circumference of a circular field whose radius is 5 centimeters.
Find the odd man out. 9, 12, 15, 18, 21, 25
Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?
There are 9 women and 8 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?
A completes a work in 12 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be
A train 225 m long running at 90 kmph crosses a platform in 25 sec. What is the length of the platform?
The parameter of a square is equal to the perimeter of a rectangle of length 20 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
The length and breadth of a rectangle is increased by 30% and 45% respectively. What is the increase in the area?
9 engines consume 24 metric tonnes of coal, when each is working 8 hours day. How much coal is required for 8 engines, each running 13 hours a day, if 3 engines of former type consume as much as 4 engines of latter type?
Every letter in the alphabet has a number value that is equal to its place in the alphabet. Thus, the letter A has a value of 1, the letter B has a value of 2, the letter C has a value of 3, etc... The number value of a word is obtained by adding up the value of the letters in the word and then multiplying that sum by ...
Kamal obtained 66, 65, 77, 62 and 75 marks(out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
Louie takes out a three-month loan of $1000. The lender charges him 10% interest per month compounded monthly. The terms of the loan state that Louie must repay the loan in three equal monthly payments. To the nearest dollar, how much does Louis have to pay each month?
Express 15 mps in kmph?
If 2 (A's capital) = 4 (B's capital) = 6 (C's capital). Then the ratio of their capitals is?
In how many ways can 7 different objects be dived among 3 persons so that either one or two of them do not get any object?
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 12km?
A train is 360 meter long is running at a speed of 90 km/hour. In what time will it pass a bridge of 140 meter length?
A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 7 years ago?
A bowl was filled with 10 ounces of water, and 0.014 ounce of the water evaporated each day during a 50-day period. What percent of the original amount of water evaporated during this period?
It is well known that a triangle’s area is √(p(p-a)(p-b)(p-c)), when p=(a+b+c)/2, such that a, b, c are the lengths of sides of the triangle. If the triangle has 360, 360, and 300 as the side’s lengths, what is the triangle’s area?
Oranges are bought at 7 for Rs.4.50. At what rate per hundred must they be sold to gain 33%?
If 4 persons can do 4 times of a particular work in 4 days, then, 7 persons can do 7 times of that work in?
An alloy of copper and zinc contains copper and zinc in the ratio 9 : 6. Another alloy of copper and zinc contains copper and zinc in the ratio 6 : 9. In what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc?
In how many ways can the letters D, I, G, I, K be arranged so that the two I's are not next to each other?
A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B =6:3 and B:C = 6:5. If the total runs scored by all of them are 118, the runs scored by B are?
Assume all pieces of rope are equal. If 44 pieces of rope measure A feet, how long would B pieces of rope be in inches?
In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
In one hour, a boat goes 15 km along the stream and 5 km against the stream. the sped of the boat in still water (in km/hr) is :
A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is?
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions.
If a and b are positive numbers, and a^3 + b^3 = 30, then the greatest possible value of a is between:
A shop owners pays an average salary of $400 to his 10 employees and $100 to the 2 accountants. What is the average salary for the shop owner?
What is the difference between the local value of 6 and 9 in the number 2694?
An engineer designed a ball so that when it was dropped, it rose with each bounce exactly one-half as high as it had fallen. The engineer dropped the ball from a 12-meter platform and caught it after it had traveled 35.65 meters. How many times did the ball bounce?
An woman sitting in a train which is travelling at 20 kmph observes that a goods train travelling in a opposite direction, takes 15 seconds to pass him. If the goods train is 300 m long, find its speed.