Datasets:
dfdsfgf
/
big_math_dataset

Dataset card Data Studio Files
xet
 Community
1
question
stringlengths
3
1.14k
Two quarts containing 2⁄5 water and 4⁄5 formula are mixed with three quarts containing 3⁄10 water and 2⁄10 formula. Approximately what percent of the combined five-quart mixture is water?
A bus started its journey from Mumbai and reached Pune in 44min with its average speed of 50 km/hr. If the average speed of the bus is increased by 5km/hr, how much time will it take to cover the same distance?
How many positive integers less than 100 have a remainder of 3 when divided by 13?
If k and s are positive integers such that (2^k)(4^s) = 16, then 2k + s =
A train 250 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train?
Two whole numbers whose sum is 36 cannot be in the ratio
What is 3/4 of 4/5 of 2/3?
The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is?
By selling a watch for Rs.720/-, a man loses 20% what is that watch cost price
A girl was asked to state his age in years. Her reply was , "Take my age 5 years hence, multiply it by 5 and subtract 5 times my age 5 years ago and you will know how old I am." What was the age of the person ?
A man purchases 2 watches for $ 580. He sells one at 15% profit and the other at a loss of 10%. He neither gains nor loses on the whole. Thus, the cost price of two watches are :
A team of 30 men is supposed to do a work in 38 days. After 25 days, 5 more men were employed and the work finished one day earlier. How many days would it have been delayed if 5 more men were not employed?
If y exceeds x by 10%, then x is less than y by?
150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration E of the acid in the mixture?
David walks to a viewpoint and returns to the starting point by his car and thus takes a total time of 4 hours 20 minutes. He would have gained 2 hours by driving both ways. How long would it have taken for him to walk both ways.
Two trains each 150 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?
A bag contains 4 white balls, 4 black balls, and 2 red balls. One by one, three balls are drawn out without replacement. What is the probability that the third ball is red?
If x/y =3/2, then (x-y)/x?
If a particular is never chosen, in how many ways can a cricketbe chosen out of 15 players?
Tim and Tom are workers in a department that has a total of 5 employees. Their boss decides that two workers from the department will be picked at random to participate in a company interview. What is the probability that both Jim and John are chosen?
The population of a town increases 25% and 40% respectively in two consecutive years. After the growth the present population of the town is 1750. Then what is the population of the town 2 years ago?
Ramesh purchased a refrigerator for Rs. 12500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 15% if no discount was offered?
A certain number when divided by 899 leaves the remainder 63. Find the remainder when the same number is divided by 29.
If 2 cards are selected (with replacement) at random from the deck of 52 cards then what is the probability that one of the selected cards will be a king or a queen, and the other card will be a jack? A deck of cards has a total of 52 cards, consisting of 4 suits: spades (black), hearts (red), diamonds (red), and clubs...
A fruit seller sells mangoes at the rate of Rs.16 per kg and thereby loses 12%. At what price per kg, he should have sold them to make a profit of 20%?
If 90% of A = 30% of B and B = C% of A,then the value of C is ?
The sum of three consecutive numbers is 63. The greatest among these three number is:
There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate?
Total dinning bill for 9 people was $211.00.If they add 15% tip and divided the bill evenly ,approximate.What was each persons find share
Find the fourth proportional to 2.8 , 3.4 and 5.2?
Johnny bought six peanut butter cans at an average price (arithmetic mean) of 37.5¢. If Johnny returned two cans to the retailer, and the average price of the remaining cans was 31¢, then what is the average price, in cents, of the two returned peanut butter cans?
The age of a man is three times the sum of the ages of his two sons. Five years hence, his age will be double of the some of the ages of his sons. The father’s present age is :
The temperature in Winnipeg, Manitoba was 4 degrees Fahrenheit. At 8 pm the temperature was was -10 degrees Fahrenheit. What is the difference between the temperatures?
A man's age is 125% of what it was 10 years ago, but 83 X 1/3% of what it will be after 10years. What is his present age?
A, B and C started a business A's investment is 2 times of B's investment is 5 times of C's investment. Find the profit of B in the total profit of Rs. 25600.
A caterer ordered 225 ice-cream bars and 125 sundaes. If the total price was $200.00 and the price of each ice-cream bar was $0.60, what was the price of each sundae?
The average of the two-digit numbers, which remain the same when the digits interchange their positions, is?
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?
If the positive integer x is divisible by 3, 8, and 12, then which of the following must x be divisible by? I. 24 II. 26 III. 48
Three unbiased coins are tossed. What is the probability of getting at most two heads?
The division of a whole number N by 10 gives a quotient of 15 and a remainder of 2. Find N.
A salesman sold twice as much pears in the afternoon than in the morning. If he sold $510 kilograms of pears that day, how many kilograms did he sell in the afternoon?
A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
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?
Every Monday, Marina eats one croissant and every Tuesday she eats two croissants. On each subsequent day of the week, she eats a number of croissants equal to the sum of the croissants eaten on the two previous days, with the exception that if she eats more than four croissants on any particular day, the next day she ...
The price of an article has been reduced by 25%. In order to restore the original price the new price must be increased by?
In 1995, the Johnsons spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Johnsons cut back their water usage. By how much must the Johnsons have reduced their 1996 water usage to pay exactly the same amount Q in 1996 as they paid in 1995?
If 2x + y = 7 and x + 2y = 5, then 7xy/3 =?
Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
The ages of two person differ by 20 years. If 10 years ago, the elder one be 5 times as old as the younger one, their present ages(in years) are respectively
Sum of ages of two friends is 28 while difference is 4 then their ages are
2^3,5^2,6^1 Find largest Value?
WHEN A PERSON SELLS TWO ITEMS $900 each, ONE AT A GAIN OF 20% AND OTHER AT A LOSS OF 20%.THEN THE SELLER INCURES A LOSS OR GAIN OF:
A bag contains 3 blue and 5 white marbles. One by one, marbles are drawn out randomly until only two are left in the bag. What is the probability that out of the two, one is white and one is blue?
There are 3 teams each with 7 basket players. How many combinations are there if we were to pick 2 players from the 3 teams such that no team was picked twice?
If the cost price of 50 articles is equal to the selling price of 40 articles, then the gain or loss percent is?
A farmer is planting a row consisting of 4 unique apple trees and 3 unique orange trees. How many ways are there for the farmer to plant the trees such that no apple tree is adjacent to another apple tree and no orange tree is adjacent to another orange tree?
How many pieces of 75 cm can be cut from a rope 52.5 meters long?
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 6 boys when No boy gets more than one prize?
An investment receives 20% annual interest compounded semi-annually for 2 years. If its final value is $29,200, approximately what was the initial investment?
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in?
Three candidates contested an election and received 1136, 7636 and 21628 votes respectively. What percentage of the total votes did the winning candidate got
In how many ways can 10 books be arranged on a shelf such that a particular pair of books should always be together?
A retailer bought a machine at a wholesale price of $90 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price t of the machine?
P and Q be centers of two circle having radius 200cms. These circle intersect each other at some point A and B. Length of PQ is 250 cms. What will the angle AQP be?
a survey of n people in the town of badaville found that 50% of them prefer brand A.another survey of 100 people in the town of Chotaville found that 60% prefer brand A.In total 55% of all the people surveyed prefer brand A.What is the total number of people surveyed?
The average age of 36 students in a group is 14 years. When teacher’s age is included to it, the average increases by one. What is the teacher’s age in years?
The average age 18 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Of the three-digit integers greater than 600, how many have two digits that are equal to each other and the remaining digit different from the other two?
A group of n students can be divided into equal groups of 4 with 3 student left over or equal groups of 5 with 3 students left over. What is the sum of the two smallest possible values of n?
A and B start a business with Rs.1500 and Rs.3000 respectively. Hoe should they share their profits at the end of one year?
A trader sells goods to a customer at a profit of k% over the cost price, besides it he cheats his customer by giving 880 g only instead of 1 kg. Thus his overall profit percentage is 255. Find the value of k?
Three numbers are in the ratio 3:5:7. The largest number value is 42. Find difference between Smallest & largest number is?
A train running at the speed of 56 km/hr crosses a pole in 9 seconds. Find the length of the train?
A train which is 150m. long passes a platform of 200 m in 15 sec. What is the speed of the train?
A certain lab experiments with white and brown mice only. In one experiment, 2/3 of the mice are white. If there are 15 brown mice in the experiment, how many mice in total are in the experiment?
If you divide 7^777 by 5, which remainder do you get?
If y exceeds x by 10%, then x is less than y by?
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A?
A gardener increased the length of a rectangle-shaped garden by 20 percent and decreased its width by 5 percent. The area of the new garden
Walking across campus, a student interviewed a group of students. 25% of the students took a finance class last semester, 52% took a marketing class last semester, and 40% took neither a finance nor a marketing class last semester. What percent of the students in the group took both a finance and a marketing class?
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 Rs 157300 was their profit, how much amount did B receive?
At what time between 2 and 3 o'clock will the hands of a clock be together?
The purchase price of an article is $48. In order to include 15% of cost for overhead and to provide $12 of net profit, the markup should be
(422+404)^2−(4×422×404)=?
Find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm.
If a and b are the roots of the equation x2 - 9x + 20 = 0, find the value of a2 + b2 + ab?
there are 10 girls and 20 boys in a classroom. what is the ratio of girls to boys?
Rahul is 30 years older than his daughter Mary. In 20 years Rahul will be twice as old as Mary. What is Mary current age.
In how many T ways can 4 white and 3 black chess pieces be arranged in a row such that they occupy alternate places? Assume that the pieces are distinct.
The first term in a sequence is 1 and the second term is 21. From the third term on each term is the average (arithmetic mean) of all preceding terms. What is the 38th term in the sequence?
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?
During 2001, a stock lost 40 percent of its value. During the following year, the stock's value increased by 200 percent. Which of the following is the percent change in the stock's value during those two years?
2, 6, 14, 26, 42, ?
The average of five integers is 63, and none of these integers is greater than 100. If the average of three of the integers is 65, what is the least possible value of one of the other two integers?
According to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . How many 6 - ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?
There are n members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 36 possible combinations in which Michael is not selected, what is the value of n?
A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
A book was sold for Rs 27.50 with a profit of 10%. if it were sold for Rs25.75, then what would be % of profit or loss?
A thief steels a car at 6a.m. and drives it at 50kmph. The theft is discovered at 7a.m. and the owner sets off in another car at 70 kmph. When will he overtake the thief?