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big_math_dataset

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By how much is 50% of 250 greater than 25% of 400.
What is the middle number in a sequence of 11 integers with a total sum 99?
A 5-letter code word consists of letters A, B, and C. If the code includes all the three letters, how many such codes are possible?
If f, g, and h are positive numbers such that (f/(f+g))(10) + (g/(f+g))(20)=h and if f<g which of the following could be the value of h?
8597 - ? = 7429 - 4358
A football team lost 5 yards and then gained 10. What is the team's progress?
A man can row downstream at the rate of 45 Kmph and upstream at 23 Kmph. Find the man’s rate in still water and rate of current?
How is 5% expressed as a decimal fraction?
A five-digit number divisible by 3 is to be formed using numerical 0, 1, 2, 3, 4 and 5 without repetition. The total number T of ways this can be done is:
A factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, 20 balls per box. If 104 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed?
A train 100 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
A boat covers a certain distance downstream in 4 hours but takes 6 hours to return upstream to the starting point. If the speed of the stream be 3 km/hr, find the speed of the boat in still water
11:35::17:?
Carmen made a sculpture from small pieces of wood. The sculpture is 2 feet 10 inches tall.Carmen places her sculpture on a base that is 4 inches tall. How tall are the sculpture andbase together?
By investing in 1623% stock at 64, one earns Rs. 1800. The investment made is
Two stations A and B are 200 km apart on a straight track. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Find the number of solutions for 3x+4y=60, if x and y are positive integers
0, 1, 4, 9, 16, 25, 36, 49, ? What number should replace the question mark?
A can contains a mixture of liquids A and B is the ratio 7:5. When 3 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liter of liquid A was contained by the can initially?
If the area of a square with sides of length 11 centimeters is equal to the area of a rectangle with a width of 11 centimeters, what is the length of the rectangle, in centimeters?
(3080 + 6160) / 28
How many 3 digit numbers are divisible by 6 in all ?
One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?
What should come in place of the question mark (?) in the following equation? 9548 + 7314 = 8362 + ?
During a Pizza buffet where A eats more times 4 than B, and B eats 8 times less than C.find the least number of times all the three has to eat
The ratio between the present ages of P and Q is 5:7 respectively. If the difference between Q's present age and P's age after 6 years is 2. What is the total of P's and Q's present ages?
A pipe can fill a cistern in 12 minutes whereas the cistern when fill can be emptied by a leak in 18 minutes. When both pipes are opened, find when the cistern will be full?
Tommo spent six lucky days in Las Vegas. On his first day he won a net amount of only $20, but on each of the following days, the daily net amount he won grew by d dollars. If Tommo won a total net amount of $1620 during his stay in Las Vegas, how much did he win on the last day?
Running at their respective constant rates, machine X takes 2 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce 5/4 w widgets in 3 days, how many days would it take machine X alone to produce 4w widgets?
A bus moving at a speed of 45 km/hr. overtakes a truck 150 metres ahead going in the same directions in 30 seconds. The speed of the truck is
In triangle PQR, the angle Q = 90 degree, PQ =3 cm, QR = 8 cm. X is a variable point on PQ. The line through X parallel to QR, intersects PR at Y and the line through Y, parallel to PQ, intersects QR at Z. Find the least possible length of XZ
The original price of a suit is $200. The price increased 25%, and after this increase, the store published a 25% off coupon for a one-day sale. Given that the consumers who used the coupon on sale day were getting 25% off the increased price, how much did these consumers pay for the suit?
In Town X, 64 percent of the population are employed, and 55 percent of the population are employed males. What percent of the employed people in Town X are females?
If the integer N = 139,k50 where k is the hundreds digit, N can NEVER be divisible by which of the following?
A bike owner buys petrol at Rs 75, Rs. 80 and Rs. 85 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 40000 each year?
The equation a = 2y2 + 5y - 17, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at a = -5, the equation for l is
The average marks obtained by 120 cndidates in a certainexaminationis 35.if the average marks of passed candidate is 39 and that of the failedcandidates is 15,what is the number of candidates who passed the examination
What should come next in the following letter sequence? A A B A B C A B C D A B C D E A B C D
Find the value of (55 + 113/78) × 78
3 men can complete a piece of work in 6 days. Two days after they started the work, 3 more men joined them. How many days will they take to complete the remaining work?
If n is a prime number, which of the following could be true
The vertex of a parallelogram are (1, 0), (3, 0), (1, 1) and (3, 1) respectively. If line L passes through the origin and divided the parallelogram into two identical quadrilaterals, what is the slope of line L?
If a man can cover 14 metres in one second, how many kilometres can he cover in 3 hours 45 minutes?
For positive integers n, the integer part of the nth term of sequence D equals n, while the infinite decimal part of the nth term is constructed in order out of the consecutive positive multiples of n, beginning with 2n. For instance, D_1 = 1.2345678…, while D_2 = 2.4681012… The sum of the first seven terms of sequence D is between:
An aeroplane covers a certain distance of 420 Kmph in 6 hours. to cover the same distance in 4 2/3 hours, it Must travel at a speed of
price of apple mobile is double than samsung and triple than oppo.the mean off all three phone's price is 25000.what is price of samsung.
The area of a triangle is with base 4m and height 5m?
an operation * is defined by the equation: a*b=a-b/a+b, for all numbers a and b such that a is not equal to -b, if a is not equal to -w and a*w=0, then w=?
The ratio between the speeds of two Bullet trains is 7: 8. If the second Bullet train runs 520 kms in 4 hours, then the speed of the first train is:
Of the 600 residents of Clermontville, 35% watch the television show Island Survival, 40% watch Lovelost Lawyers and 50% watch Medical Emergency. If all residents watch at least one of these three shows and 18% watch exactly 2 of these shows, then how many Clermontville residents Z watch all of the shows?
If a and b are both negative and ab < b^2, which of the following must be true?
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 17%, then the cost price of the article is:
1000 men have provisions for 15 days. If 200 more men join them, for how many days will the provisions last now?
A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. The number of days for which the remaining food will last, is:
The average age of students of a class is 15.7 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is?
When the smallest of 3 consecutive odd integers is added to four times the largest, it produces a result 731 more than 4times the middle integer. Find the numbers?
Three positive integers a, b, and c are such that their average is 22 and a ≤ b ≤ c. If the median is (a + 13), what is the least possible value of c?
All of the stocks on the over-the-counter market are designated by either a 5-letter or a 5-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
A pineapple costs Rs 9 each and a watermelon costs Rs. 6 each. If I spend Rs 51 on total what is the number of pineapple I purchased?
Find the odd man out 3, 7, 15, 27, 63, 127, 255
How many possible ways can 4 girls (Rebecca, Kate, Ashley) go on a date with 4 boys (Peter, Kyle, Sam)?
The least number, which when divided by 12, 31, 20 and 54 leaves in each case a remainder of 8 is:
One out of every 100 light bulbs are defected. If 2 out of every 10 defected light bulbs have a broken glass and there are 20 broken glass light bulbs in the shipment, how many light bulbs total are there in the shipment?
If a job is complete by a and b in z days,b and c in x days and a and c in y days. In how many days that a,b and c can be work simultaneously?
A plane flies 660 km with the wind and 540 km against the wind in the same length of time. If the speed of the wind is 20 km/h, what is the speed of the plane in still air?
A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 2 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
A man sells a horse for Rs.1400 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?
A train running at the speed of 90 km/hr crosses a pole in 9 sec. What is the length of the train?
What is the probability of having 53 Fridays in an ordinary year
Two girls started running simultaneously around a circular track of length 1200 m from the same point at speeds of 30 km/hr and 50 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Two whole numbers whose sum is 72 cannot be in the ratio
What is the are of an equilateral triangle of side 16 cm?
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.
3/8 of 168 * 15 / 5 + X = 549 / 9 + 275
The rental charge for a car is 34 cents for the first 1/4 mile driven and 6 cents for every 1/5 mile driven over the initial 1/4 mile. If a man paid $1.24 in rental charges, how many miles did he drive?
In how many ways can the letters of the word EDUCATION be rearranged so that the relative position of the vowels and consonants remain the same as in the word EDUCATION?
The average of first 6 prime numbers is?
A train passes a station platform in 50 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
X, Y and Z can do a work in 6 , 9 and 10 days respectively. They completed the work and got Rs.775. What is the share of Y?
If six persons sit in a row, then the probability that three particular persons are always together is?
A certain bus driver is paid a regular rate of $18 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $976 in total compensation, how many total hours did he work that week?
In a group of cows and chickens, the number of legs was 16 more than twice the number of heads. The number of cows was:
Calculate the cost of e yards of cloth given that the cost of f yards of said cloth is g rupees?
Calculate the area of a triangle, if the sides are 13 cm, 12 cm and 5 cm, what is its area?
There are 100 students in a class. If 14% are absent on a particular day, find the number of students present in the class.
If x/6 and x/15 are integers, then x must be divisible by -
If 5 machines can produce 20 units in 10 hours, how long would it take 20 machines to produce 140 units?
In shop contains 500 articles each of a cost of $10. He sold them at a price of $16. If the shop keeper has a order of 200 articles, how much profit he will get?
There are 50 people in a certain community who belong to the local golf club, tennis club or both clubs. If 1 as many people belong to the tennis club as belong to the golf club, what could be the number of people who belong to both clubs?
A customer pays 65 dollars for a coffee maker after a discount of 20 dollars What is the original price of the coffe maker?
A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
The average of six number is 3.95. The average of two of them is 3.4, while the average of the other two is 3.62. what is the average of the remaining two number ?
A began business with Rs.27000 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?
Running at their respective constant rate, machine X takes 2 days longer to produce w widgets than machines Y. AT these rates, if the two machines together produce 5w/4 widgets in 3 days, how many days would it take machine X alone to produce 6w widgets.
james works in a bakery. He made cookies that cost $2 and made $200. How many customer did he have?
The product of a and b is equal to 11 more than twice the sum of a and b. If b = 7, what is the value of b - a?
In year Y imported machine tools accounted for 20 percent of total machine-tools sales in the United States, and Japanese imports accounted for 40 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?
In how many ways can the integer 84 be expressed as a product of two different positive integers?
In measuring the sides of a rectangle, one side is taken 8% in excess, and the other 7% in deficit. Find the error percent in the area calculated from these measurements.