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Real-estate salesman Z is selling a house at a 30 percent discount from its retail price. Real-estate salesman X vows to match this price, and then offers an additional 15 percent discount. Real-estate salesman Y decides to average the prices of salesmen Z and X, then offer an additional 40 percent discount. Salesman Y's final price is what fraction of salesman X's final price?
A jar is filled with red, white, and blue tokens that are equivalent except for their color. The chance of randomly selecting a red token, replacing it, then randomly selecting a white token is the same as the chance of randomly selecting a blue token. If the number of tokens of every color is a multiple of 8, what is the smallest possible total number of tokens in the jar?
A conical vessel, whose internal radius is 12 cm and height 50 cm, is full of liquid. The contents are emptied into a cylindrical vessel with internal radius 10 cm. Find the height to which the liquid rises in the cylindrical vessel.
When processing flower-nectar into honey bees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 40% water?
A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is:
A bread merchant declares a 20% discount after 8 P.M. Each bread costs Rs.40 when it is not on sale. Sam goes before 8 P.M. to buy 4 pieces of bread. Max goes after 8 P.M. with the same amount of money that Sam had to buy bread. How many pieces did Max get over Sam?
A courtyard is 18 meter long and 12 meter board is to be paved with bricks of dimensions 12 cm by 6 cm. The total number of bricks required is :
The cube root of .000216 is:
Find k if 64 / k = 4.
A train 120 meter long passes an electric pole in 12 seconds and another train of same length traveling in opposite direction in 8 seconds. The speed of the second train is
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?
How many words with or without meaning, can be formed by using all the letters of the word, ‘ORANGE’, using each letter exactly once?
The average age of three boys is 12 years and their ages are in the proportion 2 : 6 : 8. The age of the youngest boy is:
Square RSTU shown above is rotated in a plane about its center in a clockwise direction the minimum number of degrees necessary for R to be in the position where T is now shown. The number of degrees through which RSTU is rotated is
Set M contains number that satisfy the condition that, if integer x is in the set then x + 6 will also be in the set M. If -4 is one value in the set, which of the following values must also be present in the set M? I) -10 II) 2 III) 8
Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 2% sugar by weight. To make a delicious and healthy mixture that is 6% sugar, what should be the ratio of Cereal A to Cereal B, by weight?
Every day a cyclist meets a car at the station.The road is straight and both are travelling in the same direction. The cyclist travels with a speed of 12 mph.One day the cyclist comes late by 20 min. and meets the car 5miles before the Station. What is the speed of the car?
What is the sum of all remainders obtained when the first 130 natural numbers are divided by 9?
A merchant marks his wares 40% more than the real price and allows 20% discount. His profit is:
(161)^2 - (162)^2 =
The smallest fraction, which each of 6/7, 5/14, 10/21 will divide exactly is?
Rhoda tosses a coin 5 times. Find the probability of getting exactly 4 heads.
A trader sold two items for Rs.2500 each, if he made a profit of 28% from the first item and a loss of 20% from the second item, calculate his total gain or loss.
While working alone at their constant rates, computer X can process 240 files in 4 hours, and computer Y can process 240 files in 6 hours. If all files processed by these computers are the same size, how many hours would it take the two computers, working at the same time at their respective constant rates, to process a total of 240 files?
A sum of Rs. 1530 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B’s share is:
The average amount with a group of seven numbers is Rs. 30. If the newly joined member has Rs. 55 with him, what was the average amount with the group before his joining the group?
Three of the sides of a rectangular prism have areas of 91, 39, and 21. What is the volume of the rectangular prism?
If a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability E that this product will be a multiple of 45?
At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 11:00 a.m., how long will the conference last if there are a total of 6 seminars that day?
The average of 13 result is 60. Average of the first 7 of them is 57 and that of the last 7 is 61. Find the 8th result?
What sum of money will produce Rs.60 as simple interest in 4 years at 3 1/2 percent?
The sum of ages of 5 children born at the intervals of 3 years each is 70 years. What is the age of the youngest child?
A and B go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph. After how much time will they meet for the first time at the starting point?
How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
What are the last two digits of 55*34*86*47*23*51?
A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.
The daytime telephone rate between two cities is 60 cents for the first 3 minutes and c cents for each additional minute. The total charge is reduced 40 percent on calls made after 10:00 P.M. The cost, in dollars, of a 35-minute call made at 10:30 P.M. between these two cities is:
A cube of side 5cm is painted on all its side. If it is sliced into 1 cubic centimer cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?
A mathematics teacher tabulated the marks secured by 35 students of 8th class. The average of their marks was 72. If the marks secured by Reema was written as 36 instead of 86 then find the correct average marks up to two decimal places.
A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
A machine P completes a certain amount of work in 12 hrs and machine Q completes the same work in x hrs if both machines works together to complete the same work in 8 hrs then what is x?
In the first 20 overs of a cricket game, the run rate was only 4.3. What should be the run rate in the remaining 30 overs to reach the target of 264 runs?
The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is?
If a 7 cm cube is cut into 1 cm cubes, then what is the percentage increase in the surface area of the resulting cubes?
Population of a city in 2004 was 1000000. If in 2005 there is an increment of 35% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city at the end of the year 2007
Out of n consecutive natural numbers, four numbers are selected such that the differences of all the possible pairs are distinct. What is the least value of n for which this is possible?
A pipe takes a hours to fill the tank. But because of a leakage it took 5 times of its original time. Find the time taken by the leakage to empty the tank
A person is traveling at 65 km/hr and reached his destiny in 3 hr then find the distance?
The number of boys in the class is 8 more than the number of girls in the class, which is five times the difference between the number of girls and boys in the class.How many boys are there in the class?
If it is a 3x3 matrix, for which elements in first row are (V, 50, W), second row (196,X, Y)and in third row are (269, Z, 123).It is given that the sum of the numbers in each row, column, diagonal are same. Then find the value of (Y + Z).
Solve 8x – 4 = 4x + 11
3,4,7,11,18,29,47,?
The greatest number of four digits which is divisible by 10, 20, 25 and 60 is:
A company, Chauncy Co., has an annual travel budget of $59,000. The accounting department estimates that transportation expenses will increase 5 percent in the coming year, and nontransportation travel expenses will increase by 15 percent in the coming year. Last year, Chauncy Co. spent $19,500 on transportation-related expenses, and $35,000 on nontransportation travel expenses. If the annual travel budget does not increase this year, and if the accounting department’s estimates are correct, how far over the annual travel budget will expenses be this year?
If each term in the sum a1+a2+a3+.....+an is either 7 or 77 and the sum equals 343, which of the following could be equal to n?
Company P had 15 percent more employees in December than it had in January. If Company P had 470 employees in December, how many employees did it have in January?
Two men and three women working 7 hours a day finish a work in 5 days. Four men and four women working 3 hours a day complete the work in 7 days. The number of days in which only 7 men working 4 hours a day will finish the work is?
If log 2= 0.030103, the number of digits in 264 is :
If air is called green , green is called blue, blue is called orange, sky is called yellow, yellow is called water and water is called pink, then what is the color of clear sky ?
A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.12000. A's share is?
In a panel of 10 light bulbs, the odds of any light bulb to burn out are 0.7 at any given 10 minutes. Should a light bulb burn out, the whole panel would instantly turn off. What are the odds that the panel would be turned off within the first 10 minutes after it was switched on?
Winona can purchase a pencil and two pens for 250 cents, or two pencils and three pens for 425 cents. If the cost of a pencil and the cost of a pen does not change, compute the cost in cents of FIve pencils and six pens.
A tap can fill a tank in 10 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely?
A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.2662 in 3 years. Find the rate percent?
In a card game, a combination of three kings beats all others. If Jose is the first to draw from a standard deck of 52 cards, what is the probability that he wins the game with the best possible combination?
Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is?
A can do a particular work in 6 days . B can do the same work in 8 days. A and B signed to do it for Rs. 3200. They completed the work in 3 days with the help of C. How much is to be paid to C?
A man has Rs.355 in the denominations of one-rupee notes, 20-rupee notes and 50-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?
If √10 = 3.16, find the value of If √5/2
What should come in place of the question mark (?) in the following equation? 6000 + 500 = 870+ ?
If daily wages of a man is double to that of a woman, how many men should work for 10 days to earn Rs.14400? Given that wages for 40 women for 30 days are Rs.21600.
A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely ?
In a class of 30 students, 5 students did not borrow any books from the library, 10 students each borrowed 1 book, 8 students each borrowed 2 books, and the rest of the students each borrowed at least 4 books. If the average (arithmetic mean) number of books borrowed per student was 2, what is the maximum number of books that any single student could have borrowed ?
The L.C.M of two numbers is 45 times their H.C.F if one of the numbers is 125and sum of H.C.F and L.C.M. is 1150, the other number is:
A two member committee comprising of one male and one female member is to be constitute out of five males and three females. Amongst the females. Ms. A refuses to be a member of the committee in which Mr. B is taken as the member. In how many different ways can the committee be constituted ?
A man on tour travels first 160 km at 64 km/he and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is?
Mohit sold an article for Rs. 18000. Had he offered a discount of 10% on the selling price, he would have earned a profit of 8%. What is the cost price of the article?
A library has an average of 510 visitors on Sundays and 240 on other day. The average number of visitors in a month of 25 days starting with sunday is
How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?
The probabilities of solving a question by 3students A, B & C are 1/2,1/3 &1/4, respectively. The probability that the problem will be solved is?
What is the average (arithmetic mean) of all the multiples of ten from 10 to 170 inclusive?
Pipe A can fill a tank in 9 hours, pipe B in 12 hours, and pipe C in 18 hours. If all the pipes are open, in how many hours will the tank be filled?
A bartender removed from a bottle a certain quantity of a drink which had 25 % ALCOHOL CONTENT and replaced the same quantity with another drink that had an alcohol content of 10%. The alcohol content in the drink after replacement is 20 % What the quantity of the drink that he replaced if there was 1 Litres of the drink in the bottle
There are 200 questions in a 3 hr examination. Among these questions there are 50 mathematics problems. It is suggested that twice as much time be spent on each maths problem as for each other question. How many minutes should be spent on mathematics problems
The Income of a man increase consistently by 2% per year. If his present income is Rs. 12000 then what will his income be after 1 year ?
Two men started from the same place walk at the rate of 5kmph and 5.5kmph respectively. What time will they take to be 8.5 km apart, if they walk in the same direction?
What distance (in meters) will be covered by a bus moving at 54 km/hr in 30 seconds?
A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 1800. The difference between the profit shares of A and C is?
A total of $20,000 was invested in two certificates of deposit at simple annual interest rates of 6 percent and 10 percent, respectively. If the total interest on the two certificates was $1,440 at the end of one year, what fractional part of the $20.000 was invested at the higher rate?
The sale price sarees listed for Rs.400 after successive discount is 25% and 20% is?
A bus travels from town A to town B. If the bus's speed is 50 km/hr, it will arrive in town B 42 min later than scheduled. If the bus increases its speed by 509509 m/sec, it will arrive in town B 30 min earlier than scheduled. Find: A) The distance between the two towns; B) The bus's scheduled time of arrival in B; C) The speed of the bus when it's on schedule.
If x = |x| , then which one of the following statements could be true? I. x = 0 II. x < 0 III. x > 0
Maddie has 24 apples, if she give 12 to mike, how many does she have left?
A stick of 30 cm is broken into two pieces, what is the length of the shorter piece if the longer piece is 6 cm longer than the other?
A shopkeeper sold an article for Rs 2552.36. Approximately what was his profit percent if the cost price of the article was Rs 2400
2,5,10,17,?,41
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?
Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 148 cookies, what percent of the cookies did Nell bake?