Datasets:
dfdsfgf
/
big_math_dataset

Dataset card Data Studio Files
xet
 Community
1
question
stringlengths
3
1.14k
If (2 to the x) - (2 to the (x-2)) = 3 (2 to the 12), what is the value of x?
Evaluate:57- 12*3*2 =?
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 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 6 units?
In a certain math department, students are required to enroll in either Calculus or Trigonometry, each of which is offered in beginner and advanced courses. The number of students enrolled in Trigonometry is 50% greater than the number of students enrolled in Calculus, and 70% of Calculus students are enrolled in the b...
The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 11 years, son's age will be:
In how many ways 5 Indians and 2 Englishmen can be seated in a row so that they are alternate?
f a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:
Mangala completes a piece of work in 10 days, Raju completes the same work in 50 days. If both of them work together, then the number of days required to complete the work is?
9 partners bought a restaurant for 1 million dollars. If they want to pay the same amount and none of them have bills smaller than $1, how much money would they have to pay?
If x is less than y by 40% then y exceed x by:
A triangle has sides 10, 17, and 21. A square is inscribed in the triangle. One side of the square lies on the longest side of the triangle. The other two vertices of the square touch the two shorter sides of the triangle. What is the length of the side of the square?
A train is 360 meter long is running at a speed of 45 km/hour. In what time will it pass a bridge of 140 meter length?
When E is divided by 5, the remainder is 3. When y is divided by 5, the remainder is 4. What is the remainder when E + y is divided by 5?
David spends $350 buying his favorite dolls. If he buys only small LemonHead dolls, which are $2 cheaper than the large LemonHead dolls, he could buy 20 more dolls than if he were to buy only large LemonHead dolls. How much does a large LemonHead doll cost?
There are three secretaries who work for four departments. If each of the four departments have one report to be typed out, and the reports are randomly assigned to a secretary, what is the probability Z that all three secretary are assigned at least one report?
A certain hospital has a policy that for every 50 patients there should be 2 doctors. If the number of patients visiting the hospital every day is 400, how many doctors are there in the hospital?
There are two cars. One is 160 miles north of the other. Simultaneously, the car to the north is driven westward at 10 miles per hour and the other car is driven eastward at 30 miles per hour. How many miles apart are the cars after 3 hours?
In Town X, 64 percent of the population are employed, and 45 percent of the population are employed males. What percent of the employed people in Town X are females?
Tom can hit a target 3 times in 6 shots, Karan can hit the target 2 times in 6 shots & Ashwini can hit 4 times in 4shots. What is the probability that at least 2 shots hit the target ?
A car manufacturer produces only red and blue models which come out of the final testing area at random. What is the probability that five consecutive cars of same color will come through the test area at any one time?
A dice is rolled 3times & sum of 3 no.'sappearing on the uppermost face is 15. The chance that the first roll was four is?
Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:
Sam invested Rs. 15000 @ 10% per annum for one year. If the interest is compounded half-yearly, then the amount received by Sam at the end of the year will be?
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.50 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
Diana is going on a school trip along with her two brothers, Bruce and Clerk. The students are to be randomly assigned into 3 groups, with each group leaving at a different time. What is the probability that DIana leaves at the same time as AT LEAST on her bothers?
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 $ 13,000?
An auto supply store sells steering wheel covers arranged on display such that each of two different colors of steering wheel covers, blue, and purple are consecutive in a repeating pattern. If three consecutively displayed steering wheel covers are purchased, what is the probability that two of the steering wheel cove...
There are between 300 and 310 cards in a collection of cards. If they are counted out 3 at a time, there are 2 left over, but if they are counted out 4 at a time, there is 1 left over. How many cards are in the collection?
A grocer purchased 80 kg of sugar at 13.50 per kg and mixed it with 120 kg sugar at 16 per kg. At what rate should he sell the mixture to gain 16%?
When q is divided by 5, the remainder is 3. When y is divided by 5, the remainder is 4. What is the remainder when q + y is divided by 5?
Find the cost of fencing around a circular field of diameter 35 m at the rate of Rs.1.50 a meter?
In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 2/3 of the number of students of 8 years of age which is 24. What is the total number of students in the school?
.A man has Rs. 312 in the denominations of one-rupee notes, five-rupee notes and twenty-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 20 years now, the son's age five years back was:
A Sum of Rs.2600, is lent out in 2 parts SI at 10% for 5yrs is equal to SI on 2nd part at 9% rate for 6 yrs. find the ratio of parts.
When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?
On a wedding catering service, An experienced chef can prepare a service for a wedding in 5 hours while an novice chef would finish the preparations in 9 hours. If the catering service employs the same number of novice and experienced chefs, then how many chefs would it take to prepare a wedding service in 1 hour and 3...
After spending Rs. 5000 on rent, Rs. 1500 on milk, Rs. 4500 on groceries, Rs.2500 On childrens education Rs. 2000 on petrol and Rs. 5200 on miscellaneous expenses, Mr. Kishore saved 10% of his monthly salary. How much did he save in Rs. ?
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
A lady bought five books namely A,B,C,D,E to distribute her 7 friends. How many ways she can distribute books?
A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is 3:2, and the ratio of soap to salt is five times this ratio. The solution is poured into an open container, and after some time, the ratio of water to soap in the open container is halved by water evaporation. At that time, wha...
What is the ratio between perimeters of two squares one having 4 times the diagonal then the other?
The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 41 degrees. Find the temperature on Friday?
In how many ways can 5 man draw water from 5 taps if no tap can be used more than once?
Which number is the odd one out?
Find the area of trapezium whose parallel sides are 10 cm and 18 cm long, and the distance between them is 15 cm.
The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
The sum of the first 50 positive even integers is 2550. What is the sum of the even integers from 602 to 700 inclusive?
If x and y are positive integers, and 1 is the greatest common divisor of x and y, what is the greatest common divisor G of 2x and 3y?
The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 20 are excluded, the average mark of the remaining will be 95. Find the number of students who wrote the exam.
How many of the positive factors of 10 , 16 and how many common factors are there in numbers?
Which among the following is the greatest?
A and B invests Rs.3000 and Rs.6000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
The difference between a two digit number and the number obtained by interchanging the digits is 72. What is the difference between the digits of the number?
Two dogsled teams raced across a 600-mile course in Alaska. Team A finished the course in 6 fewer hours than team B. If team A’s average speed was 5 miles per hour greater than that of team B, what was team B’s average speed, in miles per hour?
An investor invests in a new fund. The fund averages 10% growth annually for the first three years, but it loses 25% of its value in the fourth year. At the end of four years, the value of the fund is approximately what percent of the original amount?
How many factors of 60 are odd numbers greater than 1?
In how many ways can three consonants and two vowels be selected from the letters of the word "TRIANGLE"?
The length of a rectangular plot is 10 meters more than its width. If the cost of fencing the plot at $15.50 per meter is $868, what is the length of the plot in meters?
In a class of 38 children,19 play tennis, 21 play squash and 10 play neither sport. (1)how many children play both sports?
Sharron bakes 6 cookies for 6 friends. 2 of the friend arrive early and eat 3 cookies each. How many cookies are left over if the other friends all have the same number of cookies?
A trader sells 30 meters of cloth for Rs. 4500 at the profit of Rs. 10 per metre of cloth. What is the cost price of one metre of cloth?
A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
What is the average (arithmetic mean) of all multiples of 10 from 10 to 600 inclusive?
A man bought a computer at 30% discount on its original price. He sold it at a 520% increase on the price he bought it. What percent of profit did he make on the original price?
Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?
The speed of a boat in still water in 26 km/hr and the rate of current is 6 km/hr. The distance travelled downstream in 20 minutes is:
If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
How many four digit numbers can be formed using the digits {1, 3, 4, 5, 7,9}(repetition of digits is not allowed)?
The average age of A, B and C is 26 years. If the average age of A and C is 29 years, what is the age of B in years ?
If -1<= x <= 2 and 3 <= y <= 8, which of the following represents the range of all possible values of y-x?
How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together?
A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 100. How much did he have with him in the beginning?
A man said to his son, "I was two-third of your present age when you were born". If the present age of the man is 48 years, find the present age of the son?
The cost of one photocopy is $0.02. However, a 25% discount is offered on orders of more than 100 photocopies. If Steve and Danny have to make 80 copies each, how much will each of them save if they submit a single order of 160 copies?
6 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
Jim is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be Canola oil, 1/4 vinegar, and the remainder an even mixture of salt, pepper and sugar. If Jim accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the bot...
A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 57.76, the number of the member is the group is:
The sum of the squares of three numbers is 100, while the sum of their products taken two at a time is 48. Their sum is:
Find the value of 72519 x 9999 = m?
Seven children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. The children CEF have to sit next to each other, and the others can sit in any order in any remaining chairs. How many possible configurations are there for the children?
A man gets a simple interest of Rs.200 on a certain principal at the rate of 5% p.a in two years. Find the compound interest the man will get on twice the principal in two years at the same rate.
Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 5, what is the probability that one of the two cards drawn is numbered 3 ?
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45kmph. For how many minutes does the bus stop per hour?
In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?
Benny goes to the market for buying some apples to be distributed between her nine kids equally.She takes 420 dollars with her .The cost of each apple is 4 dollars .How many apples does she buy to share them equally between her five kids?
Akash leaves Chennai at 6am & reaches Bangalore at 10am. Prakash leaves Hyderabad at 8 am and reaches Chennai at 11:30 am. At what time do they cross each other?
If an integer n is to be selected at random from 1 to 100, inclusive, what is probability n(n+1) will be divisible by 8?
If x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y?
What is greatest positive integer n such that 2^n is a factor of 12^12?
A river 7m deep and 75 m wide is flowing at the rate of 4 kmph the amount of water that runs into the sea per minute is?
Express 20 mps in kmph?
Five different books (A, B, C, D and E) are to be arranged on a shelf. Books C and D are to be arranged first and second starting from the right of the shelf. The number of different orders in which books A, B and E may be arranged is
Mike buys 3 cartons of eggs at the store. Each carton has 12 eggs. How many eggs does mike have?
24 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus?
3 candidates in an election and received 5136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Which of the following number is divisible by 24 ?
In a group of 120 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. If a person is selected at random from this group, what is the probability the person's age is less than 20?