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A certain rectangular crate measures 8 feet by 12 feet by 14 feet. A cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. What should the radius of the tank be if it is to be of the largest possible volume?
Which is the least number, which, when divided by 12 and 16, leave the same remainder, but is exactly divisible by 11?
In an examination, 300 students appeared. Out of these students; 28 % got first division, 54 % got second division and the remaining just passed. Assuming that no student failed; find the number of students who just passed.
If Z = 52 and ACT = 48, then BAT will be equal to
What is the lowest positive integer that is divisible by 1 through 3, inclusive?
A train 240 m in length crosses a telegraph post in 16 seconds. The speed of the train is?
On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price Q per glass on the second day?
A librarian has a set of eight books, including four different books about Abraham Lincoln. The librarian wants to put the eight books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other four books. How many different arrangements of the eight books are possible?
The variables a and b are non-zero integers B. If a = 2b^3/c, what happens to c when a is halved and b is doubled?
The sequence of numbers a1, a2, a3, ..., an is defined by an = 1/n - 1/(n+2) for each integer n >= 1. What is the sum of the first 50 terms of this sequence?
((7^1/2)^2)
An article costing rs.160 is sold at 10% discount on a mark-up price. What is the selling price after discount?
All the stocks on the over-the-counter market are designated by either a 3 letter or 4 letter codes that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different stocks that can be designated with these codes?
A courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. What could be the weight in grams of a package for which the charge is $2.05?
If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 3 strokes ?
30 men can do a work in 40 days. When should 14 men leave the work so that the entire work is completed in 40 days after they leave the work?
In the coordinate plane, Line A has a slope of -1 and an x-intercept of 1. Line B has a slope of 4 and a y-intercept of -4. If the two lines intersect at the point (a,b), what is the sum a+b?
Jim and Renjee 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 Renjee have an equal chance of choosing any one of the hand signs, what is the probability that Jim will win?
A doctor prescribed 24 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage greater than the typical dosage?
Car A runs at the speed of 65km/hr & reaches its destination in 8hr. Car B runs at the speed of 70 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B?
3 gentlemen and 3 gentlewomen are candidates for 2vacancies. A voter has to vote for 2candidates. In how many ways can one cast his vote?
If p^2 – 8p + 15 = q, and p is a positive integer between 1 and 10, inclusive, what is the probability that q < 0?
A company assigns product codes consisting of all the letters in the alphabet.How many product codes are possible if the company uses at most 5 letters in its codes, and all letters can be repeated in any one code?
The food in a camp lasts for 40 men for 40 days. If ten more men join, how many days will the food last?
How many positive integers less than 100 have a reminder 5 when divided by 7?
If w and y are both odd prime numbers and w < y, how many distinct positive integer factors does 2wy have?
A crew can row a certain course up the stream in 84 minutes; they can row the same course down stream in 8 minutes less than they can row it in still water. How long would they take to row down with the stream
In an engineering class that contained 150 students, the final exam consisted of 2 questions. Three fifths of the students answered the first question correctly. If four fifths of the remainder answered the second question correctly, how many students answered both questions incorrectly?
A train 500 m long, running with a speed of 180 km/hr will pass a tree in?
When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 4 times, what is the probability that it will land twice on heads and twice tails?
Two numbers are in ratio P:Q. when 1 is added to both the numerator and the denominator, the ratio gets changed to R/S. again, when 1 is added to both the numerator and denominator, it becomes 1/2. Find the sum of P and Q.
An alloy is to contain copper and zinc in the ratio 9:4. The zinc required to be melted with 24kg of copper is?
The speed of a car is 90 km in the first hour and 55 km in the second hour. What is the average speed of the car?
Find the sum 3/10 + 5/100 + 8/1000 in decimal form ?
Two numbers are respectively 50% and 100% more than a third number. The percentage that is first of the second is?
If 5 shirts can be purchased for 5 dollars, how many shirts can be purchased for 7 dollars?
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
What is the Units digit of (5!4! - 3!5!)/120
One type of liquid contains 25 % of benzene, the other contains 30% of benzene. A can is filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of benzene in the new mixture.
There is a escalator and 2 persons move down it.A takes 50 steps and B takes 75 steps while the escalator is moving down.Given that the time taken by A to take 1 step is equal to time taken by B to take 3 steps.Find the no. of steps in the escalator while it is staionary?
Find avrg speed if a man travels at speed of 15km/hr up and 28km/hr dawn at an altitude of 230m.
If a farmer is splitting her crop of apples between her nine customers, how many would be left if she evenly divided the 541 apples?
A sum of money becomes triple itself in 4 years at simple interest. How many years will it become six times at the same rate?
If a company allocates 10 percent of its budget to advertising, 10 percent to capital improvements, and 5 percent to salaries, what fraction of its budget remains for other allocations?
If the average of 10 digits is 80 and the average of 6 of them is 58, calculate the average of the remaining 4 numbers?
Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?
A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 7 persons for the position of sales manager, 6 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible?
John had $100 to buy drinks and sandwiches for his birhtday party. He bought 5 small boxes of drinks at $4 each box and 8 boxes of sandwiches at $6 each box. How much money was left after the shopping?
If 20% of a = b, then b% of 20 is the same as :
Find the length of the wire required to go 15 times round a square field containing 69696 m2?
A set of numbers contains 7 integers and has an average (arithmetic mean) value as well as a median value of 23. If the largest value is equal to 15 more than 4 times the smallest number, what is the largest possible range for the numbers in the set?
A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. If the smaller wheel has made 21 revolutions, what will be the number of revolutions made by the larger wheel?
If the average (arithmetic mean) of a and b is 100, and the average of b and c is 160, what is the value of a − c?
A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?
A, B and C started a business with a total investment of Rs. 72000. A invests Rs. 6000 more than B and B invests Rs. 3000 less than C. If the total profit at the end of a year is Rs. 8640, Find C's share.
A work crew of 4 Men takes 5 days to complete one-half of a job. If 11 men are then added to the crew and the men continue to work at the same rate, how many days will it take the enlarged crew to do the rest of the job?
The remainder when 1!+2!+3!...+50! divided by 6! will be
The population of locusts in a certain swarm doubles every two hours. If 4 hours ago there were 1,000 locusts in the swarm, in approximately how many hours will the swarm population exceed 128,000 locusts?
Find the face value of 5 in 358946
Rich has 3 green, 2 red and 3 blue balls in a bag. He randomly picks 5 from the bag without replacement. What is the probability E that of the 5 drawn balls, Rich has picked 1 red, 2 green, and 2 blue balls?
Find the value of (200+ 200/90) × 90
Three years ago the average age of a family of six members was 19 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 26 seconds, what is the ratio of their speeds?
Three years ago the average age of a family of nine members was 23 years. A boy have been born, the average age of the family is the same today. What is the age of the boy?
If a and b are different positive integers and a + b = b(a + b), then which of the following must be true? I. b = 1 II. a = 1 III. b < a
The average weight of 20 persons sitting in a boat had some value. A new person added to them whose weight was 49 kg only. Due to his arrival, the average weight of all the persons decreased by 5 kg. Find the average weight of first 20 persons?
The surface of a cube is 24sq cm. Find its volume?
A sum of Rs.13000 is divided into three parts such that the simple interests accrued on them for two, three and four years respectively may be equal. Find the amount deposited for 4 years.
The sum of the present ages of A, B, C is 57 years. Three years ago their ages were in the ratio 1:2:3. What is the present age of A?
Find four consecutive even integers so that the sum of the first two added to twice the sum of the last two is equal to 754.
Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P ?
A camera lens filter kit containing 5 filters sells for $75.50. If the filters are purchased individually, 3 of them are priced at $7.35 each, 3 at $12.05 each, 1 at $12.50. The amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually?
If the perimeter of a rhombus is 52 cm and one of its diagonals is 24 cm, then the area of the rhombus is
A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most
An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
3/4 of 1/2 of 2/5 of 5100 = ?
The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age was five times the age of the son. After 6 years, son's age will be:
There are three different pipes used to fill a pool: pipe x, pipe y, and pipe z. Pipe x can fill the pool in a days, pipe y in b days, and pipe z in c days, where a > b > c. When all three pipes are used together to fill a pool, it takes d days to fill the pool. Which of the following must be true? I. d<c II. d>b III. c/3<d<a/3
The number of bacteria in a petri dish increased by 50 percent every 2 hours. If there were 108 million bacteria in the dish at 5: 00 p.m., at what time were there 32 million bacteria in the dish?
If 2 cards are selected at random from the deck of 52 cards then What is the probability of selected cards will be Queen? A deck of cards has a total of 52 cards, consisting of 4 suits; (spades(Black), hearts(Red), diamond(Red)s, and clubs(Black)); and 13 cards including 1 king, 1 queen and 1 jack in each suit
A money lender lent a total of $1500 to two of his customers. He charged at the rate of 5%p.a. to one of them and 6% p.a. to the other. If he earned an average of 5.67% on $1500, how much did he lend to each of the two customers?
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?
If a farmer sells 15 of his chickens, his stock of feed will last for 4 more days than planned, but if he buys 25 more chickens, he will run out of feed 3 days earlier than planned. If no chickens are sold or bought, the farmer will be exactly on schedule. How many chickens does the farmer have?
In a competitive examination in state Madhya Pradesh, 4% candidates got selected from the total appeared candidates. State Uttar Pradesh had an equal number of candidates appeared and 9% candidates got selected with 72 more candidates got selected than Madhya Pradesh. what was the number of candidates appeared from each state?
If after 700 grams of water were added to the 24%-solution of alcohol, the strength of the solution decreased by one-third, how much of the 24%-solution was used?
The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
The Sum of first N consecutive odd integers is N^2. What is the sum of all odd integers between 13 and 35 inclusive.
One ball will drop from a certain height. The height it will reach after rebounding from the floor is 50 percent of the previous height. The total travel is 200cm when it touches the floor on third time. What is the value of the original height?
Three numbers are in the ratio of 2 : 3 : 4 and their L.C.M. is 264. What is their H.C.F.?
In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 4 and that the product of the given number and the sum of its digits is equal to 90, then the number is:
Andrew has a certain number of coins in his pocket. He has four times as many dimes as quarters and six times as many nickels as dimes. A nickel is worth $0.05, a dime is worth $0.10 and a quarter is worth $0.25. If he has a total of $10.15, then which of the following represents the number of dimes in Andrew’s pocket?
If n is the product of the integers from 1 to 12, inclusive, how many different prime factors greater than 1 does n have?
A marketing survey of Anytown found that the ratio of trucks to sedans to motorcycles was 3:7:2, respectively. Given that there are 11,900 sedans in Anytown, how many motorcycles are there?
A thief is spotted by a policeman from a distance of 100metres. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8km/hr and that of the policeman 10km/hr, how far the thief will have run before he is overtaken ?
A student scores 55% marks in 8 papers of 100 marks each. He scores 15% of his total marks in English. How much does he score in English?
A teacher grades students’ tests by subtracting twice the number of incorrect responses from the number of correct responses. If Student A answers each of the 100 questions on her test and receives a score of 64, how many questions did Student A answer correctly?
Joe is now 26 years older than Ella. If in 12 years Joe will be three times as old as Ella, how old will Joe be in 6 years?
How many words, with or without meaning, can be formed using all letters of the word ORANGE using each letter exactly once?
A, B and C invest in a partnership in the ratio: 7/2,4/3,6/5. After 4 months, A increases his share 50%. If the total profit at the end of one year is Rs.21,600, then what is B's share in the profit?
In a certain town, there are nine times as many people who were born in the town’s state as there are people who were born in another state or country. The ratio of those residents born in the town’s state to the town’s total population is

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