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A shopkeeper sold an article at $1200 and gained a 20% profit. What was the cost price?
10 books are placed at random in a shelf. The probability that a pair of books will always be together is ?
A and B invests Rs.8000 and Rs.12000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
How many different possible arrangements S can be obtained from the letters G, M, A, T, I, I, and T, such that there is at least one character between both I's?
The average age of a group of 10 persons was decreased by 3 years when one person, whose age was 48 years, was replaced by a new person. Find the age of the new person?
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If four marbles are picked at random, what is the probability that none is blue?
Find the invalid no.from the following series 15, 16, 33, 105, 424, 2124, 12756
A shopkeeper sold two radio sets for 792 each, gaining 10% on one, and losing 10% on the other. Then he
If x and y are numbers such that (x+5)(y-5)=0, what is the smallest possible value of x^2 + y^2
In how many different ways can the letters of the word ‘GEOMETRY’ be arranged so that the vowels always come together?
if(x-10)(y-5)(z-2)=1000 then what is the least value of x+y+z? if x,y,z are all integer no.
In a 4 person race, medals are awarded to the fastest 3 runners. The first-place runner receives a gold medal, the second-place runner receives a silver medal, and the third-place runner receives a bronze medal. In the event of a tie, the tied runners receive the same color medal. (For example, if there is a two-way tie for first-place, the top two runners receive gold medals, the next-fastest runner receives a silver medal, and no bronze medal is awarded). Assuming that exactly three medals are awarded, and that the three medal winners stand together with their medals to form a victory circle, how many S different victory circles are possible?
Jim and Reneeh will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Reneeh have an equal chance of choosing any one of the hand signs, what is the probability that Jim will win?
In a cinema hall for the matinee show which started at 2.30 pm and ended at 5.30 pm the vehicle parking lot had only three wheelers (auto rickshaws) and four wheelers. Today the wheels of the vehicles parked was counted and found to be 240. What could be the number of three wheelers parked therein ?
How many cubes of 3cm edge can be cut out of a cube of 18cm edge
A = {2, 3, 5, 7, 11} B = {2, 4, 6, 13} Two integers will be randomly selected from sets A and B, one integer from set A and one from set B, and then multiplied together. How many different products can be obtained?
Bruce purchased 7kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper?
If the reciprocals of two consecutive positive integers are added together, what is the sum in terms of the greater integer p?
Two interconnected, circular gears travel at the same circumferential rate. If Gear A has a diameter of 20 centimeters and Gear B has a diameter of 50 centimeters, what is the ratio of the number of revolutions that Gear A makes per minute to the number of revolutions that Gear B makes per minute?
If the price of a certain computer increased 30 percent from d dollars to 351 dollars, then 3d =
The ratio of the ages of Anil and his son at present is 7 : 3. Six years hence, the ratio of the ages of the Anil's wife and the son will be 2 : 1. Find the ratio of the present ages of Anil and his wife?
Income and expenditure of a person are in the ratio 9 : 8. If the income of the person is Rs. 36000, then find his savings?
A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
If n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 650, what is the least possible value of n?
Palindromes are words or phrases that read the same in both directions, e.g. EYE Now consider the word LEVEL, such a word is known as palindromes. Find the maximum possible number of five letter palindromes.
-2, 5, 24, 61, ?
what is the next term of this series6,10,9,15,12,20,15,25...?
Helen went to the stationers and bought things worth Euro 22, 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?
A gets 3 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?
What is the are of an equilateral triangle of side 16 cm?
A marketing company devised a methodology of spreading its message through one another. One person can tell it to 3 persons in 4 minutes and these three persons tell the other three persons each in further 4 minutes and the process continues so on. How many minutes will it take to spread the message to 2187 persons.
Mr X, a businessman, had income in the year 1995 such that he earned a profit of 20% on his investment in the business. In the year 1996 his investment was less by 7000 but still had the same income (Income = Investment + Profit) as that in 1995. Thus the per cent profit earned in 1996 increased by 6%. What was his investment in 1995?
Which of the following CANNOT be weighed using a balance scale and these unit weights: 1, 4, 7, and 10
The average monthly salary of 10 employees in an organisation is Rs. 1600. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary?
The angle between the minute hand and the hour hand of a clock when the time is 10.30, is
When x is multiplied by 3, the result is 26 more than the result of subtracting x from 26. What is the value of x?
All the following EXCEPT one are correct values for a in the equation: a = x/5 + y/5^2 + z/4^3, where x, y, and z are each equal to 1 or 0.
The ages of two persons differ by 20 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively
The Brookfield girl scouts sold 90 boxes of cookies on their first day which averaged 30% more than the other local area teams. Increasing their effort, by the end of the second day their sales increased their average to be 50% more than the other teams. How many boxes of cookies must the girls have out sold by to have attained this average?
In a class of 25 students in an examination in maths 5 students scored 95 marks each, 3 get zero each and the average of the rest was 45. What is the average of the whole class?
If john makes a contribution to a charity fund at school, the average contribution size will increase by 50% reaching $75 per person. If there were 4 other contributions made before john's, what is the size of his donation?
If the length of the longest chord of a certain circle is 14, what is the radius of that certain circle?
1100 boys and 700 girls are examined in a test; 42% of the boys and 30% of the girls pass. The percentage of the total who failed is :
A clock is set at 5 am. If the clock loses 16 minutes in 24 hours, what will be the true time when the clock indicates 10 pm on 4th day?
If an article is sold at 19% profit instead of 12% profit, then the profit would be Rs. 105 more. What is the cost price?
The speed of a train is 90 kmph. What is the distance covered by it in 5 minutes?
Mangala completes a piece of work in 60 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is?
Two trains of equal are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
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 9 hours and 16 hours respectively. The ratio of their speeds is?
How many different pairs of numbers (s, t) such that s = 3t can be obtained if s and t are selected from the set of number {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
The division of a whole number N by 13 gives a quotient of 34 and a remainder of 2. Find N.
A contest will consist of n questions, each of which is to be answered eithertrueorfalse. anyone who answers all n questions correctly will be a winner. what is the least value of n for which the probability is less than 1/100 that a person who randomly guesses the answer to each question will be a winner?
5000 - 4500 ÷ 10.00 = ?
Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is ?
Find the no.of ways of arranging the boy and 6 guests at a circular table so that the boy always sits in a particular seat?
one machine 10 hours to complete a production order and another machine 20 hours to complete the same order. How many hours would it take both machines working simultaneously at their respective rates to complete the order?
What is the greatest integer m for which the number 50!/10^m is an integer?
If f(x) = 2x^2 + y, and f(2) = 20, what is the value of f(5)?
John makes $30 a week from his job. He earns a raise and now makes $40 a week. What is the % increase?
If a and b are positive integers and (5^a)^b = 5^2, what is the value of 2^a*2^b?
A motor car starts with a speed of 70km/hr with its speed increasing every 2hours by 10kmph. In how many hours will it cover 345kms?
How many positive integers less than 256 are multiple of 4 but NOT multiples of 6?
A runs 1 ¾ times as fast as B. if A gives B a start of 84 m, bow far must winning post be so that A and B might reach it at the same time?
\|x+3\| – \|4-x\| = \|7+x\| How many solutions will this equation have?
In a certain large company, the ratio of college graduates with a graduate degree to non-college graduates is 1:8, and ratio of college graduates without a graduate degree to non-college graduates is 2:3. If one picks a random college graduate at this large company, what is the probability W this college graduate has a graduate degree?
Set A contains all the even numbers between 2 and 50 inclusive. Set B contains all the even numbers between 102 and 150 inclusive. What is the difference between the sum of elements of set B and the sum of the elements of set A?
Aarti can do a piece of work in 8 days. In how many days will she complete three time of work of same type?
There were 9 lottery ticket winners for payout of 4 million dollars. If the all winners get the same amount and none of them have bills smaller than $1, how much money would they have to pay?
A salesperson receives a base salary of $700 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 210 items for $150 each, what will her monthly salary be?
Of the 120 passengers on Flight 750, 30% are female. 10% of the passengers sit in first class, and the rest of the passengers sit in coach class. If 1/3 of the passengers in first class are male, how many females are there in coach class?
A merchant has selected two items to be placed on sale, one of which currently sells for 35 percent less than the other. If he wishes to raise the price of the cheaper item so that the two items are equally priced, by what percentage must he raise the price of the less expensive item?
For all integers x>1. <x>=2x+(2x-1)+(2x-2)+......2+1. What is the value of <3>*<1>?
A pump can fill a tank with water in 5 hours. Because of a leak, it took 10 hours to fill the tank. The leak can drain all the water in ?
College T has 1000 students. Of the 260 students majoring in one or more of the sciences,160 are majoring in Chemistry and 120 are majoring in Biology. If at least 50 of the students are not majoring in either Chemistry or Biology, then the number of students majoring in both Chemistry and Biology could be any number from?
The area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of Rs.3.00 per meter. Two gates of 1 m width each are to be left for entrance. What is the total cost?
Murali purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. Find out his profit percentage.
Of the female students at Barkely University, 3/5 are on the honor roll. Of the male students, 2/5 are on the honor roll. If 5/9 of the students are female, what fraction of all the students are on the honor roll?
Suppose x is the product of all the primes less than or equal to 59. How many primes appear in the set {x + 2, x + 3, x + 4, …, x + 59}?
In a certain egg-processing plant, every egg must be inspected, and is either accepted for processing or rejected. For every 96 eggs accepted for processing, 4 eggs are rejected. If, on a particular day, 12 additional eggs were accepted, but the overall number of eggs inspected remained the same, the ratio of those accepted to those rejected would be 99 to 1. How many W eggs does the plant process per day?
A starts a business with Rs.3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B’s contribution in the capital?
The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. The radius of the sphere is
If the cost price of 20 articles is equal to the selling price of 16 articles, What is the percentage of profit or loss that the merchant makes?
A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing?
80% of the population of Albany Town lived in the East at the Beginning of the Year 1998 and the rest of the Town lived in the North. During the year 1998, the population of Town Albany grew by 9%. If the population in the East grew by 5.5%, by how much did the population in the North grow?
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 34 years now, the son's age five years back was
The cost of 6 bags and 8 purses is Rs.1300, what is the cost of 10 bags and 30 purses?
The Sum of first N consecutive odd integers is N^2. What is the sum of all odd integers between 11 and 41 inclusive.
Two twins sisters Sita and Geeta were standing back to back and suddenly they started running in opposite directions for 12 km each. Then they turned left and ran for another 9 km. What is the distance (in kilometers) between the the two twins when they stop?
If 4a = 16b and 9b = 13c, Find a:b:c?
In a certain mathematical activity, we start with seven cards, each with a different prime number written on it. These seven cards are randomly put into three boxes in the following way: one box must get four cards, one must get two, and one gets only one. Then, for each box, we find the product of all the cards in the box, and that’s the “number” of the box. Then, we put those three numbers in order, from lowest to highest, and that is our set. How many different sets Q can be created from this process?
If a given number ,n, is an odd positive integer, which of the following must then be an even negative integer?
Given two fair dice, what is the probability that the sum of their numbers is 4 if exactly one die shows a 3?
The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
The age of Somu is one-third his father's. 6 years back he was one-fifth of his father's age. What is his persent age ?
How many different subsets of the set {10, 14, 17, 26} are there that contain an odd number of elements?
A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
What is the maximum number of pieces of birthday cake of size 10” by 10” that can be cut from a cake 20” by 20”?
Three numbers are in the ratio 5 : 6 : 9. The sum of its longest and smallest numbers equals the sum of the third number and 48. Find the third number?
The average age 11 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
Which of the following are/is prime? I. 143 II. 147 III. 145

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