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Chris mixed 4 pounds of raisins with 4 pounds of nuts. If a pound of nuts costs 3 times as much as a pound of raisins, then the total cost of the raisins was what fraction of the total cost of the mixture?
A gets 4 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.675 in all. Find the share of B?
Steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 80 mph. What is his average speed of travel for the entire journey?
what is the average of odd numbers from 1 to 79?
A SHAM bought toy at 60 for a rupee. How many for a rupee must he sell to gain 20%?
Two numbers are in the ratio of 5:7. If 25 be subtracted from each, they are in the ratio of 35:59. Find the numbers?
. Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
An electric pump can fill a tank in 3 hours. Because of a leak in the tank, it took 3 hours 30 min to fill the tank. In what time the leak can drain out all the water of the tank and will make tank empty ?
Two numbers N and 16 have LCM = 52 and GCF = 8. Find N.
Hector runs a one-product widget shop. Each month, his fixed costs, whether he produces anything or not, amount to x dollars. The marginal cost of producing and selling one widget is a constant y dollars, regardless of the number he produces. He generally can sell widgets for q dollars each. What is the minimum number of widgets he must produce, assuming he sells every widget he produces, to break even (neither make a profit nor incur a loss) in a given month?
A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 5400 interest. The principal amount borrowed by him was.
If the area of a circle is 100pi square feet, find its circumference.
A $500 investment and a $1,500 investment have a combined yearly return of 16 percent of the total of the two investments. If the $500 investment has a yearly return of 7 percent, what percent yearly return does the $1,500 investment have?
Zachary is helping his younger brother, Sterling, learn his multiplication tables. For every question that Sterling answers correctly, Zachary gives him 3 pieces of candy. For every question that Sterling answers incorrectly, Zachary takes away two pieces of candy. After 9 questions, if Sterling had answered 2 more questions correctly, he would have earned 31 pieces of candy. How many of the 9 questions did Zachary answer correctly?
Let Q represent a set of three distinct prime numbers. If the sum of the numbers in Q is even and x is a member of Q, then what is the least possible value that x can be?
Alex and Brenda both stand at point X. Alex begins to walk away from Brenda in a straight line at a rate of 2 miles per hour. One hour later, Brenda begins to ride a bicycle in a straight line in the opposite direction at a rate of R miles per hour. If R > 8, which of the following represents the amount of time, in terms of R, that Alex will have been walking when Brenda has covered twice as much distance as Alex?
24 persons can manufacture 1000 soaps in 15 days, working 7 hours a day. In how many days will 18 persons, working 5 hours a day, manufacture the same 1000 soaps?
The diameter of a cylindrical tin is 6cm and height is 5 cm. Find the volume of the cylinder?
Andrew went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Lucy deposited $62500 in an investment fund that provided 16 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in years, did her investment earn a total interest of $5100?
complete the numerical series with the correct number 5+3+1=15517 9+2+2=181834 5+6+4=302044 5+4+2=201026 9+3+5= ?
If 4^k = 5, then 4^(2k+2) =
A certain elevator has a safe weight limit of 2,500 pounds. What is the greatest possible number of people who can safely ride on the elevator at one time with the average (arithmetic mean) weight of half the riders being 180 pounds and the average weight of the others being 230 pounds?
Sum of two numbers is 15. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?
Two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 6 seconds. The length of the faster train is
A number whose fifth part increased by 6 is equal to its fourth part diminished by 6 is ?
In the coordinate plane, one of the vertices of a square is the point (-6, -4). If the diagonals of that square intersect at point (3, 2), what is the area of that square?
There were 36,000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold 9 times as many paperback copies as hardback copies were sold. If a total of 440,000 copies of the novel were sold in all, how many paperback copies were sold?
The speed of a boat in upstream is 35 kmph and the speed of the boat downstream is 50 kmph. Find the speed of the boat in still water and the speed of the stream?
A city with a population of 160,080 is to be divided into 8 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have?
If x inches are cut from the length, l, of a rectangle and y inches are cut from the width, w, of the same rectangle, then which of the following correctly expresses the amount of the area of the original rectangle that was removed in terms of l, w, x, and y?
A Cuban cigar would cost 3 dollar less than 1.5 times a French cigar, had the French cigar cost 0.7 dollar less than it does now. An Arabian cigar costs 50 cents more than 1.5 times the Cuban cigar. The three cigars together cost 74.7 dollars. What is the price of the French cigar?
If a computer program generates three-digit odd numbers using the numbers 5, 7, 0, 4, and 1, and the digits can be repeated, what is the probability that the number formed from the program is a multiple of three?
From a group of 6boys&4girls a Committee of 4 persons is to be formed. In how many different ways can it be done, so that the committee has at least 2 boys?
In a bucket there are 3 blue balls and 2 red balls. What is the probability of drawing at least one blue ball when drawing two consecutive balls randomly?
What will be the cost of house to paint which area equal to 484 sq ft, if the price per foot of building is Rs. 20
In 1990 a total of j earthquakes occurred worldwide, some but not all of which occurred in Asia. If c of these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?
Walking at the rate of 5kmph a man cover certain distance in 5hr. Running at a speed of 15 kmph the man will cover the same distance in.
There are 4 people of different heights standing in order of increasing height. The difference is 2 inches between the first person and the second person, and also between the second person and the third person. The difference between the third person and the fourth person is 6 inches and the average height is 78. How tall is the fourth person?
If a < b < c , which of the following must be true? (I) a < b^2 (II) a < c - b (III) a^2 < b^2 < c^2
On selling 9 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:
How long does a train 60 m long travelling at 60 kmph takes to cross a bridge of 80 m in length?
Five pieces of wood have an average length of 132cm and a median length of 140cm. What is the maximum possible length, in cm, of the shortest piece of wood?
The measurement of a rectangular box with lid is 25cmx12cmx18cm. Find the volume of the largest sphere that can be inscribed in the box (in terms of πcm3). (Hint: The lowest measure of rectangular box represents the diameter of the largest sphere)
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 4 hours and 49 hours respectively. The ratio of their speeds is:
What is the remainder when 9^19 is divided by 5 ?
The length of the bridge, which a train 140 meters long and travelling at 45 km/hr can cross in 30 seconds, is:
Average of 9 results is 111. If the average of first four results is 106 and average of last four results is 112 Then find the fifth result?
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 16. The larger of the two numbers is:
If a and b are both odd numbers, which of the following is an odd number?
7 + 3 x 14 + 6 x 7^2 + 6 x 7^3 + 6 x 7^4 + 6 x 7^5 + 6 x 7^6 + 6 x 7^7 =
Find the area between two concentric circles defined by x2 + y2 -2x + 4y + 1 = 0 x2 + y2 -2x + 4y - 11 = 0
If 5 men and 2 boys working together, can do three times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?
When integer P is divided by 15, the remainder is 5. Which of the following has a remainder of 10 when divided by 15 ? I. 3P II. 2P III. 4P + 10 IV. 5P V .6P
A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
3*13+3*14+3*17+11 = ?
Pipe A that can fill a tank in two hour and pipe B that can fill the tank in an hour are opened simultaneously when the tank is empty. Pipe B is shut 30 minutes before the tank overflows. When will the tank overflow?
Find next number in sequence 81 87 69 82 84 ?
What flavor of Network Address Translation can be used to have one IP address allow many users to connect to the global Internet?
Manoj borrowed Rs.4050 from Anwar at 6% p.a. simple interest for three years. He then added some more money to the borrowed sum and lent it to Ramu for the same time at 9% p.a. simple interest. If Manoj gains Rs.824.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction, then what is the sum lent by him to Ramu?
Murali travelled from city A to city B at a speed of 30 kmph and from city B to city C at 70 kmph. What is the average speed of Murali from A to C given that the ratio of distances between A to B and B to C is 2 : 3
If x is 12 percent greater than 80, then x =
What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 3, 4, and 5?
10 men do a work in 10days. How many men are needed to finish the work in 4days?
A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?
A rectangular floor is covered by a rug except for a strip Y meters wide along each of the four edge. If the floor is P meters by Q meters, what is the area of the rug in square meters?
By selling 50 meters of cloth. I gain the selling price of 15 meters. Find the gain percent?
The basic one-way air fare for a child aged between 3 and 10 years costs half the regular fare for an adult plus a reservation charge that is the same on the child's ticket as on the adult's ticket. One reserved ticket for an adult costs $216 and the cost of a reserved ticket for an adult and a child (aged between 3 and 10) costs $327. What is the basic fare for the journey for an adult?
Three years ago, the average age of a family of 5 members was 17. A baby having been born, the average age of the family is the same today. What is the age of the child?
Speed of a boat in still water is 5 km/hr and speed of the stream is 2 kmph. A man rows to a place at a distance of 252 km and comes back to the starting point the total time taken by him is.
How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
P alone can complete a job in 6 days. The work done by Q alone in one day is equal to one-fifth of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?
A company’s four cars running 10 hrs a day consume 1200 lts of fuel in 10 days. In the next 6 days, the company will need to run 9 cars for 12 hrs each so it rents 5 more cars which consume 15% less fuel than the company’s four cars. How many lts of fuel will be consumed in the next 6 days?
A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey.
If w,x,y and z are distinct odd positive integers,then the maximum value of the expression (w^2+x^2)*(y^2+z^2) can be divisible by?
If a truck is traveling at a constant rate of 72 kilometers per hour, how many seconds will it take the truck to travel a distance of 600 meters? (1 kilometer = 1000 meters)
The G.C.D. of 1.08, 0.35 and 0.9 is:
A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?
Eleven bags are bought for Rs.1000 and sold at 10 for Rs.1600. What is the gain or loss in percentage?
Rs.2500 is divided into two parts such that if one part be put out at 5% simple interest and the other at 6%, the yearly annual income may be Rs.125. How much was lent at 5%?
A train 110 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going?
Two cars, Car1 and Car2 move towards each other from E and Y respectively with respective speeds of 20 m/s and 15 m/s. After meeting each other Car1 reaches Y in 10 seconds. In how many seconds does Car 2 reach E starting from Y?
5 people can write 25 book in 20 days working 8 hour a day.then in how many day 125 can be written by 75 people?
in town of 500 people,285 read hindu and 212 read indian express and 127 read times of india 20 read hindu and times of india and 29 read hindu and indian express and 35 read times of india and indian express . 50 read no news paper . then how many read only one paper?
JOHN and Roger can finish the work 24 days if they work together. They worked together for 16 days and then Roger left. JOHN finished the remaining work in another 16 days. In how many days JOHN alone can finish the work?
A dealer offers a cash discount of 20%. Further, a customer bargains and receives 20 articles for the price of 15 articles. The dealer still makes a profit of 20%. How much percent E above the cost price were his articles marked?
A certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. If 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans, what is the least amount of paint R, in gallons, that must be purchased in order to measure out the portions needed for the mixture?
A group of 3 investors and 3 clients recently frequented the Chinese Luyang Restaurant. The total bill for the meal, including 20% gratuity, came to $720. On average, how much did the meal of each individual cost before gratuity?
Working at a constant rate, P can finish a job in 3 hours. Q, also working at a constant rate, can finish the same job in 9 hours. If they work together for 2 hours, how many more minutes will it take P to finish the job, working alone at his constant rate?
In measuring the sides of a rectangle, one side is taken 9% in excess, and the other 8% in deficit. Find the error percent in the area calculated from these measurements.
The speed of a boat in upstream is 85 kmph and the speed of the boat downstream is 155 kmph. Find the speed of the boat in still water and the speed of the stream?
From a group of boys and girls, 15 girls leave. There are then left 2 boys for each girl. After this, 45 boys leave. There are then 5 girls for each boy. Find the number of girls in the beginning.
The cost of an item was reduced from its usual selling price of $23.99 to $18.99. Which of the following is closest to the percent decrease in the price of the item?
A completes a work in 10 days and B complete the same work in 20 days. If both of them work together, then the number of days required to complete the work will be
If two dice are thrown simultaneously, then find the probability that the sum of numbers appeared on the dice is 11?
The ratio of the volumes of two cubes is 125 : 1000. What is the ratio of their total surface areas?
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 864 in 4 years. The sum is:
If p and q are positive integers, how many integers are larger than pq and smaller than p(q + 4)?
If the compound interest on a certain sum of money for 2 years at 10% per annum be Rs. 993, what would be the simple interest?
A can do a piece of work in 20 days. B in 15 days A and C in 12 days. In how many days can A finish the work if he is assisted by B on one day and C on the next, alternately?