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big_math_dataset

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28 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part?
If the number is divided by 3, it reduced by 24. The number is
A grocer has a sale of Rs. 3435, Rs. 3927, Rs. 3855, Rs. 4230 and Rs. 3562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 3500?
A man buys an article and sells it at a profit of 20%. If he had bought it at 20% less and sold it for Rs.74 less, he could have gained 25%. What is the cost price?
Ian is paid an hourly wage, totaling $400 for h hours of work in a week, where h >0. If Ian's hourly wage increases by 25% and Ian decides to work 25% fewer hours each week, how much will Ian be paid in a week?
A and B go around a circular track of length 400 m on a cycle at speeds of 36 kmph and 36 kmph. After how much time will they meet for the first time at the starting point?
If 821562 is to be divisible by 5, what is the least whole number that should be added to it?
If a:b=2:3 and b:c=2:4 find a:b:c?
If x = -2 and y = -4, what is the value of 5(x-y)^2 - xy ?
Country X taxes each of its citizens an amount equal to 11 percent of the first $40,000 of income, plus 20 percent of all income in excess of $40,000. If a citizen of Country X is taxed a total of $8,000, what is her income?
A sum fetched a total simple interest of Rs. 4016.25 at the rate of 8% p.a. in 5 years. What is the sum?
If any amount is distributed among A ,B and C so that the part of A is doubled that of the part of B and part of b is 3 time the part of C .Find the ratio among their parts.
An antique shop has four different vases (vase 1, vase2, vase3, vase4) which are valued at different prices. If vase2 is 30% less in value than vase1, vase3 is 10% less than vase2, and vase4 is 5% less than vase3. what percent of vase1's cost is a vase3?
A shopkeeper buys two articles for Rs.1000 each and then sells them, making 20% profit on the first article and 20% loss on second article. Find the net profit or loss percent?
At a loading dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew. If the night crew has 5/6 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current?
The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $5.80. The price of corn is increasing at a constant rate of 5x5x cents per day while the price of wheat is decreasing at a constant rate of 2√∗x−x2∗x−x cents per day. What is the approximate price when a bushel of corn costs the same amount as a peck of wheat?
If C + D = 12 and C and D are positive integers, which of the following is a possible value for 5C + 8D?
Two years ago, Ram put $1,000 into a savings account. At the end of the first year, his account had accrued $200 in interest bringing his total balance to $1,200. The next year, his account balance increased by 20%. At the end of the two years, by what percent has Ram's account balance increased from his initial deposit of $1,000 ?
A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
How many positive integers P less than 20 are either a multiple of 2, an odd multiple of 9, or the sum of a positive multiple of 2 and a positive multiple of 9 ?
In Town X, 64 percent of the population are employed, and 38 percent of the population are employed males. What percent of the employed people in Town X are females?
A family has two children. find the probability that both the children are girls given that at least one of them is a girl?
The speed of a boat in upstream is 70 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
While driving from A-ville to B-town, Harriet drove at a constant speed of 100 kilometers per hour. Upon arriving in B-town, Harriet immediately turned and drove back to A-ville at a constant speed of 150 kilometers per hour. If the entire trip took 5 hours, how many minutes did it take Harriet to drive from A-ville to B-town?
If x, y, and z are positive integers, and 2x = 5y = 6z, then the least possible value of x + y + z is
Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 36 kmph respectively. In what time will they be clear of each other from the moment they meet?
P,Q and R enter into a partnership in the ratio 7/2 : 4/3 : 6/5. After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs.21600, then B’s share in the profit is:
What will be the remainder when 8-3 + 3^5 + 2^10 is divided by 4?
A and B invests Rs.3000 and Rs.4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Find the numbers which are in the ratio 3:2:4 such that the sum of the first and the second added to the difference of the third and the second is 28?
In a city the doors of buildings where numbered from 1 to 100. How many 3’s are there as the door number?
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
If 0.75: x :: 5:8, then x is equal to:
Find the number of different prime factors of 25650
If y = x^2 + ux + v, y is minimum when x is:
164 pencils are distributed to children with the same number. What can’t be the range including the number of children?
How many three digit even numbers M can be formed that are divisible by 9 such that both M and M^2 have the same units digits?
There are seven pairs of black shoes and 5 pairs of white shoes .Tey all are put into a box and shoes are drawn at a time.To ensure that at leat one pair of black shoes are taken out,What is the minimum number of shoes required to be drawn out so as to get at leat 1 pair of correct shoes.
The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
If a 1 mm thick paper is folded so that the area is halved at every fold, then what would be the thickness of the pile after 50 folds ?
City I City II City III City IV City V City VI City I City II City III City IV City V City VI In the table above, what is the least number of table entries that are needed to show the mileage between each city and each of the other five cities?
|-4| (|-25|-|15|)= ?? Source: Preparation Material MBA Center
What distance (in meters) will be covered by a bus moving at 54 km/hr in 20 seconds?
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
A bicycle wheel has a diameter of 0.75m. How many complete revolutions does it make in 1km?
If 2x +3y = 30 and (x+y)/y = 11/8, then find the value of 5y + 6x
A cycle is bought for Rs.1500 and sold for Rs.1620, find the gain percent?
One-sixth of the attendees at a certain convention are female students, two-thirds of the attendees are female, and one-third of the attendees are students. If 250 of the attendees are neither female nor students, what is the total number of attendees at the convention?
A basketball is dropped from a height of 20 feet. If it bounces back up to a height that is exactly half of its previous height, and it stops bouncing after hitting the ground for the fourth time, then how many total feet will the ball have traveled after 2 full bounces.
A man completes of a job in 10 days. At this rate, how many more days will it takes him to finish the job?
How many three digit numbers R are divisible by 78 or 91?
The HCF of two numbers is 42 and the other two factors of their LCM are 10 and 20. What is the largest number.
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?
Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 200 milliliters of solution X to create a solution that is 14 percent alcohol by volume?
NHAI employs 100 men to build a highway of 2km in 50 days working 8 hours a day. If in 25 days, they completed 1/3 part of work. than how many more employees should NHAI hire to finish it in time working 10 hours a day?
John had a stock of 1000 books in his bookshop. He sold 75 on Monday, 50 on Tuesday, 64 on Wednesday, 78 on Thursday and 135 on Friday. What percentage of the books were not sold?
The number of sailors on a ship is 78% more than the number of officers. The ratio of sailors to officers would be
The cost of 100 articles is equal to selling price of 90. Find the gain or loss percent?
A farm has chickens, cows and sheep. There are eight times the number of chickens and cows than sheep. If there are more cows than chickens or sheep, and together, cows and chickens have a total of 100 feet and heads, how many sheep live at the farm?
On June 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 4 for each of the past 5 months. If the stock continues to decrease at the same rate for the rest of the year, how many fewer bicycles will be in stock on September 1 than were in stock on January 1?
Out of 8 consonants and 5 vowels, how many words of 4 consonants and 3 vowels can be formed?
The probability that A speaks truth is 3/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
In how many different number of ways a combination of 3 persons can be selected from 4 men and 2 women?
A canteen requires 112 kgs of wheat for one week. How many kgs of wheat will it require for 69 days?
The value of a "Tin-Rin" stock in the stock market decreased by 15% in the last two years. The economic experts believe that the value of the stock will increase by 7% during the following year, which will make the value $440. What was the approximate price of the stock two years ago?
A contractor undertakes to complete the construction of a tunnel 720 meters long in 240 days and employs 60 men for the purpose. After 120 days, he finds that only 240 meters of the tunnel is complete. How many more men should be employ in order to complete the work in time?
K-numbers are positive integers with only 2's as their digits. For example, 2, 22, and 222 are K-numbers. The K-weight of a number n is the minimum number of K-numbers that must be added together to equal n. For example, the K-weight of 50 is 5, because 50 = 22 + 22 + 2 + 2 + 2. What is the K-weight of 750?
A bag contains 30 red jellybeans and 30 blue jellybeans. If 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability that all 3 jellybeans removed from the bag are blue?
Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
At Winson's firm's annual revenue grows twice as fast as its costs. In 2007 it operated at a $1000 loss, it broke even in 2008, and in 2009 its revenues were 44% higher than in 2007. If the firm's revenues and costs grew at a constant rate over this period, what was its profit in 2009?
Find the invalid no.from the following series 2,3,12,37,86,166,288
A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 50 paisa. If the share of Y is RS. 18, what is the total amount?
In a group of cows and hens, the number of legs are 10 more than twice the number of heads. The number of cows is :
If a < b < c , which of the following must be true? (I) a < b^2 (II) b − a < c (III) a^2 > b^2 > c^2
A company D has 45 percent of the employees are secretaries and 45 percent are salespeople. If there are 50 other employees of Company D, how many employees does Company D have?
3640 ÷ 14 × 16 + 340 = ?
The ratio of investments of two partners is 11:12 and the ratio of their profits is 2 : 3. If A invested the money for 8 months , find for how much time B invested his money?
To a sugar solution of 10 liters containing 50% sugar, 10 liter of water is added. The percentage of sugar in the new solution is?
Three runners W, B and C run a race, with runner W finishing 12m ahead of runner B and 18m ahead of runner C, while runner B finishes 8m ahead of runner C. Each runner travels entire distance at a constant speed. What was the length of the race?
the value of (1+.1+.01+.001) is:
If m and n are positive integers, and m=2n and k=5m, then -
One out of every 500 light bulbs are defected. If 5 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?
How much is 70% of 40 is greater than 4/5 of 25?
If a sample of data has mean of 21 and SD of 3, which of the following values is more than 2.5 SDs from the mean?
Two numbers are less than a third number by 40% and 47% respectively. How much per cent is the second number less than the first ?
A restaurant meal cost $37.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between
The number of stamps that Kaye and Alberto had were in the ration of 5:3 respectively. After Kaye gave Alberto 12 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 8:6. As a result of the gift, Kaye had how many more stamps than Alberto?
Two goods trains each 500 m long are running in opposite directions on parallel tracks. Their speeds are 60 km/hr and 90 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Colin has an app on his phone that generates a random integer betwen 1 and 10. He generates 10 random numbers and computes the sum. Compute the number of distinct possible sums Colin can end up with.
One man traveled a distance of 61 km in 9hrs. He traveled partly on footat 4 km/hr and partly on bicycle ta 9 km/hr. The distance traveled on foot is?
An express traveled at an average speed of 100 km/hr, stopping for 4 min after every 75 km. How long did it take to reach its destination 150 km from the starting point ?
How many quarters are equal to 7 dollars?
If w is three times larger than n , and if 2n+3 is 20% of 25, what is the value of ?
What is the next number in this sequence: 39, 52, 65, 78, 91 ?
If x and y are perfect squares, then which two of the following is not necessarily a perfect square?
If 4x + 22x-1 = 3x+(1/2) = 3x - (1/2)
A farm has chickens, cows and sheep. There are six times the number of chickens and cows than sheep. If there are more cows than chickens or sheep, and together, cows and chickens have a total of 100 feet and heads, how many sheep live at the farm?
The length of a rectangle is increased by 25% and its breadth is decreased by 20%. What is the effect on its area?
Solve This 6 + 7 = 12 8 + 9 = 16 5 + 6 = 10 7 + 8 = 14 Then, 9 + 10 = ??