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big_math_dataset

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Ramu bought an old car for Rs. 40000. He spent Rs. 13000 on repairs and sold it for Rs. 64900. What is his profit percent?
If x, y, and z are positive integers and x = 4y = 7z, then the least possible value of x - y - z is
If 3 persons can do 3 times of a particular work in 3 days, then, 7 persons can do 7 times of that work in ?
Insert the missing number. 2, 7, 10, 22, 18, 37, 26
What is the total number of positive integers that are less than 800 and that have no positive factor in common with 800 other than 1?
Eighteen years ago, a father was three times as old as his son. Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is
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 900 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Twenty-four men can complete a work in sixteen days. Thirty-two women can complete the same work in twenty-four days. Sixteen men and sixteen women started working and worked for twelve days. How many more men are to be added to complete the remaining work in 2 days?
In a shop, the cost of 4 shirts, 4 pairs of trousers and 2 hats is $560. The cost of 9 shirts, 9 pairs of trousers and 6 hats is $1,290. What is the total cost of 1 shirt, 1 pair of trousers and 1 hat?
If Ryan has 20% more notebook than justin.and Ryan have 18 notebook then Justin have how many notebooks?
In a recent survey at a local deli, it was observed that 3 out of 5 customers bought a bagel and 5 out of 7 customers bought a coffee. Some customers bought both. If 6 customers are selected, what are the chances that at least 1 customer bought a coffee and a bagel?
A can do a piece of work in 10 days, B in 15 days. They work for 5 days. The rest of work finished by C in 2 days. If they get Rs 1500 for the whole work, the daily wages of B and C are?
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
A rectangular field is to be fenced on three sides leaving a side of 80 feet uncovered.If the area of the field is 680 sq.ft, how many feet of fencing will be required?
How many 8 ′ s are there in the given sequence which are not immediately preceded by 09 and not immediately followed by 90? 9 0 8 0 9 0 9 8 9 0 8 9 0 8 0 9 8 9 0 9 8 0 9 8 9 0 8 9 0
The factorial expression 11!/2! is not divisible by which of the following integers?
A product when sold with 10% rebate on the listed price gave a profit of Rs.70. What was its cost price?
The cash difference between the selling prices of an book at a profit of 12% and 20% is $3. The ratio of the two selling prices is:
Find the result of equation of the ellipse whose foci are at (0 , -5) and (0 , 5) and the length of its major axis is 14.
The average of first 10 natural numbers is?
If 18 bindres bind 900 books in 10 days , How many binders will be required to bind 660 books in 12 days?
In the line xy plane line m has the equation y = 3x - 3, then the line m passes through which of the following points?
How many Books each of Volume 100 meter cube can be packed into a crate of volume 3000 meter cube?
The average of 6 observations is 16. A new observation is included and the new average is decreased by 1. The seventh observation is?
A zoo has an average of 510 visitors on Sundays and 480 on Saturday, 210 on other days and Wednesday is holiday. The average number of visitors in a month of 30 days starting with Saturday is
If the GCD of two numbers (not equal, both integers, greater than 1) is 2, then which of the following can be true? A. They are prime. B. They are consecutive. C. They do not have a common prime factor. D. They have a common factor other than 2.
A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2490 ?
In Mrs. Susna's class, 1/4 of her students are getting an A, 1/2 are getting a B, 1/8 are getting a C, 1/12 are getting a D, and 1/24 are getting a F. What fraction of Mrs. Susna's class getting a passing grade of C or higher.
A, B and C shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
Find the probability that a number selected from numbers 1, 2, 3,...,45 is a prime number, when each of the given numbers is equally likely to be selected?
If log 27= 1.431, then the value of log 9 is:
If (2^16)(25^S) = 5(10^m) what is the value of m ?
What least number must be subtracted from 42398 so that remaining no.is divisible by 15
A tourist purchased a total of $2,500 worth of traveler’s checks in $10 and $50 denominations, During the trip the tourist cashed 7 checks and then lost all of the rest. If the number of $10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks tha...
The seating chart of an airplane shows 30 rows of seats. Each row has 3 seats on each side of the center aisle, and one of the seats on each side is a window saet. The view from the window seats in 6 of the rows is obscured by the wings of the airplane. If the first person to be assigned a seat is assigned a window sea...
A stock trader originally bought 300 shares of stock from a company at a total cost of m dollars. If each share was sold at 80% above the original cost per share of stock, then interns of m for how many dollars was each share sold?
A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
Martha takes a road trip from point A to point B. She drives x percent of the distance at 60 miles per hour and the remainder at 30 miles per hour. If Martha's average speed for the entire trip is represented as a fraction in its reduced form, in terms of x, which of the following is the numerator?
A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of A?
If xy = 5 and x^2 + y^2 = 15, then x/y + y/x =
For a finite sequence of non zero numbers, the number of variations in sign is defined as the number of pairs of consecutive terms of the sequence for which the product of the two consecutive terms is negative. What is the number of variations in sign for the sequence 1, -3, 2, 5, -4, -5 ?
A class of students bought a total of 572 pencils. If each student in the class bought at least 17 pencils, then what is the greatest possible number of students in the class?
3 of the 4 expressions (1), (2), (3) & (4) given below are exactly equal . Which of the expression is not equal to the other four expressions?
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
I travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours. How long did the first part of my journey last
The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:
Two numbers are respectively 40% and 30% more than a third number. The second number expressed in terms of percentage of the first is ?
A car travels a certain distance taking 7 hrs in forward journey, during the return journey increased speed 12km/hr takes the times 5 hrs. What is the distance traveled
Which of the following options is the possible total number of people in a hall given that the number of people is a multiple of both 6 and 16?
What is the present worth of Rs. 132 due in 2 years at 5% simple interest per annum?
If e persons take y days to complete z similar jobs, how long does it take y persons to complete 1 such job?
Lindsay can paint 1/x of a certain room in one hour. If Lindsay and Joseph, working together at their respective rates, can paint the room in two hours, what fraction of the room can Joseph paint in 20 minutes?
At a meeting of the 7 Joint Chiefs of Staff, the Chief of Naval Operations does not want to sit next to the Chief of the National Guard Bureau. How many ways can the 7 Chiefs of Staff be seated around a circular table?
The function f is defined for all positive integers n by the following rule: f(n) is the product of the distinct prime factors of n. If f(n) < 80 and n is not prime, what is the greatest possible value of f(n)?
A 3-digit number 4a3 is added to another 3-digit number 984 to give a 4-digit number 13b7, which is divisible by 11. Then, (a + b) = ?
If log 27 = 1.461, then the value of log 9 is:
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?
A girl has exactly 5 quarters, 9 dimes, and 10 nickels in her pocket. If she withdraws a number of these coins at random, how many coins would she have to withdraw to ensure that she has at least a 50 percent chance of withdrawing at least one quarter?
There are 36 hours in a day, 90 minutes in an hour and 60 seconds in one minute. What is the angle between hour hand and minute hand when time is 15:50?
A 260 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
1-1-1-1-1-1 do any operations between the numbers to make the sum as 37 ?
The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
Look at this series: 5, 8, 6, 9, 7, ... What number should come next?
A man purchases 8 pens for Rs.9 and sells 9 pens for Rs.8, how much profit or loss does he make?
In a triangle if the length of sides are as given below which one will not form triangle?
A certain car averages 15 miles per gallon of gasoline when driven in the city and 40 miles per gallon when driving on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the car averages when it is driven 10 miles in the city and then 50 miles on the highway?
A man invests some money partly in 4% stock at 48 and partly in 10% stock at 110.To obtain equal dividends from both,he must invest the money in the ratio :
In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 52, then the number is:
If in a $270 mln portfolio of stock, twice as much is invested in stock A as is invested in all the other stocks, how much is invested in all the other stocks?
A train running at the speed of 60 km/hr crosses a pole in 15 seconds. What is the length of the train?
The radius of the two circular fields is in the ratio 3: 5 the area of the first field is what percent less than the area of the second?
What is the median from the below series 90, 92, 93, 88, 95, 88, 97
When 1/20% of 6,000 is subtracted from 1/10 of 6,000, the difference is
An investment R gained an interest payment of $250 each month when the annual interest rate was 8%, how much more should we invest annually if we want to gain 12% more per month with a new annual interest rate of 7.5% ?
A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth
An automotive test consisted of driving a car the same distance three separate times, first at an average rate of 4 miles per hour, then 5 miles per hour, then 6 miles per hour. If the test took 111 hours to complete, how many miles was the car driven during the entire test?
The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?
What is the price of a orange? (a) 14 banana and 35 oranges cost Rs. 84 (b) with a 50% discount on banana, Rs. 12 can buy 4 bananas and 5 oranges
The ratio of male to female in a class is 2:3. the career preference of the students in the class are to be represented in a circle graph. If the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference, how many degrees of the circle should b...
Earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and Ellen requires a minutes and half to stuff the same number of envelops.Working together,how long will it take Earl and Ellen to stuff 120 envelopes
40 percent of the ducks included in a certain side effects study were male. If some of the ducks had side effects during the study and 40 percent of the ducks who had side effects were male, what was the ratio of the side effect rate for the male ducks to the side effect rate for the female ducks?
What will be the simple interest on Rs. 80,000 at 16(2/3) % per annum for 9 months?
Pat, kate and mark charged a total of 216 hours to a certain project . If pat charged twice as much time to the project as kate and 1/3 as much times as mark, how many more hours did mark charge to the project than kate.
At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 30% on the cost price?
If two numbers are in the ratio 1:2. If 10 is added to both of the numbers then the ratio becomes 2:3 then find the smallest number?
What is the least number of squares tiles required to pave the floor of a room 8 m 82 cm long and 2 m 52 cm broad?
There are 5 girls and 5 boys. If they are to be seated in a row, what is the probability that no two girls sit together?
Sides of a triangle are 13 cm.14cm.and 15cm.respectively.calculate the area of triangle.
Which of the following CANNOT yield an integer when divided by 7 ?
A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?
Virat buys an old car for Rs. 50000 and spends Rs. 4000 on its repairs. If he sells the scooter for Rs. 60000, his gain percent is:
A train passes a station platform in 36 sec and a man standing on the platform in 22 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
The age of mother one decade age was three times the age of her daughter. 10 years hence, mother’s age will be two times that of her daughter. The proposition of their current ages is:
can you find the missing number in the sequence below 11 15 19 12 16 ? 13 17 21 14 18 22
The speed at which a woman can row a boat in still water is 300 kmph. If he rows downstream, where the speed of current is 42 kmph, what time will he take to cover 190 metres?
A prize of $600 is to be distributed among 15 winners, each of whom must be awarded at least $15. If 2/5 of the prize will be distributed to 3/5 of the winners, what is the greatest possible individual award?
The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 50% profit?
what is rate of interest if principal.amount be 400,simple interest 160 and time 2year.
A trade analyst announced 20% reduction in the unit price of car. As a result, the sales volume went up by 5%. What was the net effect on the sales revenue?
What is the sum of the different positive prime factors of 250?