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big_math_dataset

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In an election contested by two parties, Party X secured 20% of the total votes more than Party Y. If party Y got 130,000 votes, by how many votes did it lose the election?
It takes Avery 3 hours to build a brick wall while Tom can do it in 4 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own?
In a village of 100 households, 70 have at least one DVD player, 80 have at least one cell phone, and 60 have at least one MP3 player. If x and y are respectively the greatest and lowest possible number of households that have all three of these devices, x – y is:
The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 45 kmph, find the speed of the stream?
Carina has 130 ounces of coffee divided into 5- and 10-ounce packages. If she has 2 more 5-ounce packages than 10-ounce packages, how many 10-ounce packages does she have?
The speed of the boat in still water in 12 kmph. It can travel downstream through 45 kms in 3 hrs. In what time would it cover the same distance upstream?
The sale price sarees listed for Rs.510 after successive discount is 12% and 15% is?
A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is
The speeds of 3 trains in the ratio 10:15:20. The ratio between time taken by them to travel the same distance is?
A fruit seller had some oranges. He sells 40% oranges and still has 420 oranges. How many oranges he had originally?
A, B and C can do a work in 15,20,45 days respectively. In how many days they can complete the work together.
How long will it take for a sum of money to grow from Rs.10000 to Rs.20,000, if it is invested at 25% p.a simple interest?
Find the sum of all odd number upto 250.
In a garden, there are 10 rows and 12 columns of mango trees. The distance between the two trees is 2 metres and a distance of six metres is left from all sides of the boundary of the garden. What is the length of the garden?
A train passes a station platform in 36 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?
An empty bottle weighs 1/6th of the full bottle. When a certain percent of water was removed and the bottle was weighed, the weight of the bottle turned out to be 1/3rd of the bottle when it was full. What is the percent of water removed?
By selling 100 pens, a trader gains the cost of 40 pens. Find his gain percentage?
A train passes a man standing on the platform. If the train is 150 meters long and its speed is 54 kmph, how much time it took in doing so?
How many three digit numbers that do not contain the digit 3 are there?
In the construction of a house, some persons can do a piece of work in 8 days. Four times the number of such persons will do half of that work in :
Albert invested an amount of Rs.8000 in a FD scheme for 2yrs at CI rate 5 p.c.p.a. How much amount will Albert get on maturity of the FD?
How many multiples of 13 are less than 6000, and also multiples of 16?
The salary of a worker is first increased by 25% and afterwards reduced by 25%. What is the net change in the worker's salary?
A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
If M : N = 1 : 2, N : O = 2 : 3 and O : P = 4 : 5, then M : N : O : P is :
In how many ways can the letters of the word EDUCATION be arranged?
A rope of which a calf is tied is increased from 12 m to 23 m, how much additional grassy ground shall it graze?
Aunt Mary owns a bakery where she sells lemon cakes for R dollars a piece. Each lemon cake is made with S kgs of flour, and T kgs of lemon. At the local market, flour is sold at U dollars per kg, and lemon at V dollars per kg. How much profit has she made, after selling W lemon cakes?
X starts a business with Rs.45000. Y joins in the business after 5 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?
Each of the three people individually can complete a certain job in 4, 6, and 8 hours, respectively. What is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates?
If x is an integer and y = 3x + 11, which of the following CANNOT be a divisor of y?
A volunteer organization is recruiting new members. In the fall they manage to increase their number by 6%. By the spring however membership falls by 19%. What is the total change in percentage from fall to spring?
A circle graph shows how the MegaTech corporation allocates its Research and Development budget: 14% microphotonics; 25% home electronics; 15% food additives; 29% genetically modified microorganisms; 8% industrial lubricants; and the remainder for basic astrophysics. If the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
The Kiljaro Highway is marked with Milestones denoting the distance to the town of Kiljaro. Tommy left kiljaro and drove the highway, passing the 60 km milestone at 8:30. Some time afterwards, Tommy got a phone call asking him to return home, and he made a U-turn at the 160 km milestone. At 09:A0 Tommy passed the milestone marking 70 km to Kiljaro. The variable A represents the tens digit of the minutes in 09:A0. Assuming Tommy maintained the same constant speed during the entire drive, how many kilometers did Tommy travel in one minute?
A car travells the first 1/3 of certain distance with a speed of 7km/hr the next 1/2 distance witha a speed of 12 km/hr, and the last 1/4 distance with a speed of 16 km/hr. the average speed of the carfor the whole journey is?
Mr. Suresh is on tour and he has 360 for his expenses. If he exceeds his tour by 4 days he must cut down daily expenses by 3. The number of days of Mr. Suresh’s tour programme is :
A bat is bought for Rs.400 and sold at a gain of 20% find its selling price
Lindsay can paint 1/x of a certain room in 40 minutes. What fraction of the same room can Joseph paint in 40 minutes if the two of them can paint the room in an hour, working together at their respective rates?
If a stationery store owner buys 50% more identically-priced calendars than she usually purchases, she will be given a 20% discount off the standard price. Her total cost would then be 120 times the dollar value of the standard price of one calendar. How many calendars does she usually purchase?
A woman has three blouses of different colors, five skirts of different colors, and two different pairs of shoes. She refuses to wear her pink blouse with her green skirt. How many different blouseskirt-shoe combinations could she wear?
A combustion reaction forms carbon dioxide. A carbon dioxide molecule contains one carbon and two oxygen atoms. If, over a period of 12 minutes, a combustion reaction creates 12,000 molecules of carbon dioxide then approximately how many more atoms of oxygen than carbon are created on average per minute?
In a dice game, a player wins if he rolls the same number on his second roll as he rolls on his first. If Jason rolls a total of 4 on the first roll, what is the probability that he wins on his next roll? In this game, each roll is made with 2, fair, six-sided dice.
A group consists of 4 men, 6 women and 4 children. In how many ways can 2 men , 3 women and 1 child selected from the given group?
A positive number when decreased by 4 is equal to 21 times the reciprocal of the number. The number is:
If P(A) = 1/5 and P (B) = 2/5, find P (A n B) if A and B are independent events.
A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is:
The greatest common factor of two positive integers is P. The least common multiple of these two integers is Y. If one of the integers is Z, what is the other?
The average of four consecutive even numbers is 27. Find the largest of these numbers.
A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area?
If sy + z = s(y + z), which of the following must be true?
Find the least number which when divided by 26, 36 and 46 leaves the remainders 12, 22 and 32 respectively.
When 6 fair coins are tossed simultaneously, in how many outcomes will the first and the last coin turn up heads?
In a rectangular coordinate system, what is the area of a quadrilateral whose vertices have the coordinates (4,-3), (4, 7), (10, 4), (10,-7)?
Six years ago Ram was P times as old as Shyam was. If Ram is now 17 years old, how old is Shyam now in terms of P ?
A professional janitor can clean a certain high school in (4+4) hours, working at a constant rate. A student sentenced to detention can clean that same high school in 20 hours, also working at a constant rate. If the student is paid $7 total per hour and the janitor is paid $21 per hour, how much more would it cost the school to pay the janitor to do the job himself than it would to pay the student and the janitor to do the job together?
The present age of a father is 3 years more than three times the age of his son.Three years hence,father as age will be 12 years more than twice the age of the son.Find the present age of the father.
If x is the interest on y and y is the interest on z, the rate and time is the same on both the cases. What is the relation between x, y and z?
A rower can row upstream at 7 km/hr and downstream at 14 km/hr. What is the rower's rate in still water?
How many even number in the range between 10 to 160 inclusive are not divisible by 3
Edward's home have 3 taps,One tap, working alone at its maximum constant rate, can fill a certain sink in 270 seconds.A second tap working alone at its maximum constant rate, can fill a certain sink in 274 seconds. A third tap, working alone at its maximum constant rate, can fill the same sink in 276 seconds. If all taps work together at their respective maximum constant rates, the time it will take to fill the sink is closest to
The average age of a family of 6 members is 26 years.If the age of the youngest member is 10 years,what was the average age of the family at the birth of the youngest member?
What amount does Kiran get if he invests Rs. 16000 at 15% p.a. simple interest for four years?
The average of five numbers id 27. If one number is excluded, the average becomes 25. What is the excluded number?
A envelop weight 9.2 gm,if 800 of these envelop are sent with an advertisement mail. How much wieght?
A rectangular mat has an area of 120 sq.metres and perimeter of 46 m. The length of its diagonal is:
If x and y are different integers and x^2 = xy, which of the following must be true ? I. x = y II. y = 0 III. x = 0
If (2 to the x) - (2 to the (x-2)) = 3 (2 to the 10), what is the value of x?
The price of an item is discounted 10 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 25 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
A can do a work in 6 days. B can do the same work in 8 days. Both A&B together will finish the work and they got $1000 from that work. Find their shares?
John read the quarter of the time that Tom read. Tom read only two-fifth of the time that Sasha read. Sasha read twice as long as Mike. If Mike read 5 hours, how long did John read?
A circular ground whose diameter is 34 metres, has a 2 metre-broad garden around it. What is the area of the garden in square metres?
What is the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9m 2 cm broad?
In May Mrs Lee's earnings were 30 percent of the Lee family's total income. In June Mrs Lee earned 20 percent more than in May. If the rest of the family's income was the same both months, then, in June, Mrs Lee's earnings were approximately what percent of the Lee family's total income ?
The average speed of a car is 1 4/5 times the avg speed of a bike. A tractor covers 575km in 25hrs. How much distance will the car cover in 4hrs if the speed of the bike is twice speed of the tractor?
The distance between stations A and B is 148 km. An express train left station A towards station B with the speed of 80 km/hr. At the same time, a freight train left station B towards station A with the speed of 36 km/hr. They met at station C at 12 pm, and by that time the express train stopped at at intermediate station for 10 min and the freight train stopped for 5 min. Find: a) The distance between stations C and B. b) The time when the freight train left station B.
Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?
Mary’s annual income is $15,000 and John’s annual income is $18,000. By how much must Mary’s annual income increase so that it constitutes 80% of Mary and John’s combined income?
Riya and Priya set on a journey. Riya moves eastward at a speed of 21kmph and Priya moves westward at a speed of 22 kmph.How far will be priya from Riya after 60 minutes
What percent of 5 letter combinations that can be made from the letters of the word DERMONT and in which each letter can be used only once are the combinations in which the first letter is a vowel and the last letter is a consonant?
Each of three investments has a 20% of becoming worthless within a year of purchase, independently of what happens to the other two investments. If Simone invests an equal sum J in each of these three investments on January 1, the approximate chance that by the end of the year, she loses no more than 1/3 of her original investment is
A rectangular lawn of dimensions 70 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?
The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
A Man can row upstream at 65kmph and downward stream at 47 kmph. Find Man's rate of the current
If 5x = 7y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ?
3/[(1/0.03) + (1/0.37)] = ?
What amount does Kiran get if he invests Rs. 18000 at 15% p.a. simple interest for four years?
Consider two statements Statement 1 => If Y is an integer and Y=2p+1 where p is not an integer. Statement 2 => If Z is an integer and Z=2q where q is not an integer Which of the following correctly specifies the Even/Odd nature of Y and Z respectively
Two-third of two-fifth of three-fourth of a number is 36. What is the square root of four-fifth of that number?
How many halves are there in two-fourth?
If 213 × 16 = 3408, then 1.6 × 213.0 is equal to :
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 42 years now, the son's age five years back was:
How many cuboids of length 6 m, width 4 m and height 3 m can be farmed from a cuboid of 18 m length, 15 m width and 2 m height.
Find the least number of complete years in which a sum of money put out at 50% compound interest will be more than double of itself?
If C:D = 2:5 and D:F = 4:7 then C:D:F is
When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.45, what is the value of y?
The price of honey in a certain store is $5.00. If the price of the honey is to be reduced by $1.50, by what percent is the price to be reduced?
John has 6 friends who want to ride in his new car that can accommodate only 3 people at a time (John plus 2 passengers). How many different combinations of 2 passengers can be formed from John's 6 friends?
A Train requires 5 seconds to pass a pole while it requires 25 seconds to cross a stationary train which is 360 mtrs long. Find the speed of the train.
20% of a number is more than 20% of 650 by 190. Find the number?