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A cube of side 8 meter length is cut into small cubes of side 16 cm each. How many such small cubes can be obtained?
Set X consists of the integers from 0 to 12, inclusive, while set Y consists of the integers from 6 to 10, inclusive. How many distinct integers do belong to the both sets at the same time?
Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 110 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 7 km/h, what is the distance traveled by Brad?
A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12500 after a year?
Mudit's age 30 years hence will be thrice his age four years ago. Find Mudit's present age?
Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?
The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is
If a number x is in octal form and having zero as unit place then if we change that number x in decimal form then what is the probability that number x having zero as unit place?
If the average (arithmetic mean) of the four numbers K + 1, 2K + 3, 3K – 5 and 5K + 1 is 63, what is the value of K?
A small company employs 5 men and 3 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 women?
A wheel rotates 10 times every minute and moves 30 cm during each rotation. How many metres does the wheel move in one hour?
A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is?
15 litres of mixture contains 20% alcohol and the rest water. If 2litres of water be mixed with it, the percentage of alcohol in the new mixture would be?
A committee is composed of w women and m men. If 3 women and 2 men are added to the committee, and if one person is selected at random from the enlarged committee, then the probability that a woman is selected can be represented by
The output of a factory was increased by 10% to keep up with rising demand. To handle the holiday rush, this new output was increased by 30%. By approximately what percent would the output now have to be decreased in order to restore the original output?
What is the product of all the possible values of x if x^2(x + 2) + 7x(x + 2) + 6(x + 2) = 0?
A jogger running at 9 kmph alongside a railway track in 240 meters ahead of the engine of a 120 metres long train running at 45 kmph in the same direction . in how much time will the train pass the jogger ?
The side of a square is increased by 15% then how much % does its area increases?
A crate of apples contains 1 bruised apple for every 25 apples in the crate. Three out of every 4 bruised apples are considered not fit to sell, and every apple that is not fit to sell is bruised. If there are 12 apples not fit to sell in the crate, how many apples are there in the crate?
set s contains the following numbers 10, 14, 19, 27, 36, 49, 67, 70,94. It was found that Mark had inadvertently interchanged the digits of one of the numbers. Steve, in charge of statistics, rectified this error, and as a result mean and median were changed and the shift in mean was of 5. Whats the number that was incorrectly noted?
Let C be defined as the sum of all prime numbers between 0 and 28. What is C/3
A salesman's income consists of a commission and a base salary of $350 per week. Over the past 5 weeks, his weekly income totals have been $406, $413, $420, $436 and $495. What must his average (arithmetic mean) commission be per week over the next two weeks so that his average weekly income is $500 over the 7-week period?
Tanks P and B are each in the shape of a right circular cylinder. The interior of tank P has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank P is what percent of the capacity of tank B?
In how many different ways can the letters of the word 'HEALTH' be arranged?
The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
Chris wants to pay back his debt to the bank. He has already paid back 60% of the initial debt. His family offered to help by paying 33% of the initial debt, so now he only needs an additional $105 in order to pay off the debt. What was the initial amount of the debt Chris owed to the bank?
The length of a rectangular garden is 2 feet longer than 3 times its width. If the perimeter of the garden is 100 feet, find the length of the garden.
Worker A takes 8 hours to do a job. Worker B takes 10 hours to do a job. How long should it take both A and B, working together to do same job.
A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 47, the how old is B?
Train T leaves New York at 7:00 am traveling to Boston at 80mph. Train B leaves Boston at 7:45 am traveling to New York at 70 mph on a parallel track. If the distance between New York and Boston is 210 miles, at what time will the two trains pass each other?
How many seconds will a train 150 meters long take to cross a bridge 200 meters long if the speed of the train is 54 kmph?
Amit and Ravi invested capitals in the ratio 5:4. At the end of 8 months Amit withdrew and they got equal profits. Find for how long Ravi invested his money?
Mike took a taxi to the airport and paid $2.50 to start plus $0.25 per mile. Annie took a different route to the airport and paid $2.50 plus $5.00 in bridge toll fees plus $0.25 per mile. If each was charged exactly the same amount, and Annie's ride was 26 miles, how many miles was Mike's ride?
Evaluate: 10111 - 1025 = ?
Two pipes can fill a tank in 18 minutes and 30 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Find the average of the first 20 natural numbers?
What will come in place of the question mark (?) in the following equation? 25(7.5) × 5(2.5) ÷ 125(1.5) = 5?
Two men can fill the tank in 5hr and 4hr respectively, while the third empty it in 20hr. If all pipes are opened simultaneously, then the tank will be filled in
If z is three times larger than n , and if 2n+3 is 20% of 25, what is the value of ?
3/5 of all married couples have more than one child. 1/2 of all married couples have more than 3 children. What fraction of all married couples have 2 or 3 children?
The number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is
An electric motor makes 4,800 revolutions per minutes. How many degrees does it rotate in one second?
On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5 ?
In how many ways a committee, consisting of 5 men and 6 women can be formed from 8men and 10 women?
Five A-list actresses are vying for the three leading roles in the new film, "Catfight in Denmark." The actresses are Julia Robards, Merly Strep, Sally Fieldstone, Lauren Bake-all, and Hallie Strawberry. Assuming that no actresses has any advantage in getting any role, what is the probability that Julia and Hallie will star in the film together?
In the faculty of Reverse-Engineering, 240 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 80% of the total?
In 1990 the budgets for projects Q and V were $700,000 and $780,000, respectively. In each of the next 10 years, the budget for Q was increased by $30,000 and the budget for V was decreased by $10,000. In which year was the budget for Q equal to the budget for V ?
Jean drew a gumball at random from a jar of pink and blue gumballs. Since the gumball she selected was blue and she wanted a pink one, she replaced it and drew another. The second gumball also happened to be blue and she replaced it as well. If the probability of her drawing the two blue gumballs was 25/36, what is the probability that the next one she draws will be pink?
In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together?
Given the two equations 7r + 2s = 43 and 4r - 3s = 8, by how much does r exceed s?
If 3 workers collect 48 kg of cotton in 4 days, how many kg of cotton will 9 workers collect in 2 days?
Two trains, each 100 m long, moving in opposite directions, cross other in 10 sec. If one is moving twice as fast the other, then the speed of the faster train is?
What is the simplified result of following the steps below in order? (1) add 5y to 2v (2) multiply the sum by 3 (3) subtract v + y from the product
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?
Of the 13 employees in a certain department, 1 has an annual salary of 38,000, 2 have an annual salary of 45,700 each, 2 have an annual salary of 42,500 each, 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each. What is the median annual salary for the 13 employees?
A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is:
In 1995, the Johns spent $800 on the family’s water bills. Anticipating that water rates would increase in 1996 by 50%, the Johns cut back their water usage. By how much must the Johns have reduce their 1996 water usage to pay exactly the same amount in 1996 as they paid in 1995?
If two resistors, A(R1) and B(R2) stand in parallel with each other in electrical wire, the total resistor appears as R1R2/(R1+R2). If three resistors, A(R1), B(R2), and C(2R2) stand in parallel in electrical wire, what is the ratio V of the resistors’ sum of A and C to the resistors’ sum of A and B?
How many seconds will a 220 metre long train take to cross a man running with a speed of 8 km/hr in the direction of the moving train if the speed of the train is 80 km/hr?
4 bells first begin to toll together with an intervals of 5, 10, 15 & 20 sec. How many times does they toll together in an hr?
A man rides at the rate of 30km/hr. But stops 30minutes to change horses at the end of every 25th kilometer. How long will he take to go a distance of 150 kilometers?
a spider web consists of 3 concurrent lines forming radial support for 20 concentric regular hexagon .the hexagon vertices are 5mm from their immidiate neighbour. if the innermost hexagon has a side length 3mm how many meters is the length of the entire web including the 3 diagonals ?
39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 15 persons, working 6 hours a day, complete the work?
A man can row upstream at 5 kmph and downstream at 25kmph, and then find the speed of the man in still water?
Anthony and Michael sit on the six member board of directors for company X. If the board is to be split up into 2 three-person subcommittees, what percent W of all the possible subcommittees that include Michael also include Anthony?
Right triangle PQR is the base of the prism in the figure above. If PQ=PR=âˆš5 and the height of the prism is 10, what is the volume of the prism?
The height of the wall is 6 times its width and length of the wall is 8 times its height .if the volume of the wall be 36000 cu.m.its width is
A cricket bat is sold for $900, making a profit of $150. The profit percentage would be
The average weight of a group of boys is 20 kg. After a boy of weight 32 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
A shopkeeper buys mangoes at the rate of 5 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
The cost of10 kgs. of sugar is Rs.300. What is the cost of .200kgs. of sugar?
A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work ?
A man can hit the target once in four shots. If he fires two shots in succession, what is the probability that he will hit the target?
12 times a positive integer is more than its square by 36, then the positive integer is
pipes P and Q would fill a cistern 18 and 24 minutes respectively. Both pipes being opened, find when the first pipe must be turned off so that the cistern may be just filled in 12 minutes?
Machines P and Q are two different machines that cover jars in machine shop. When Machine P works alone, it covers 5 jars in m hours. When Machines P and Q work simultaneously at their respective rates, they cover 5 jars in n hours. In terms of m and n, how many hours does it take Machine Q, working alone at its constant rate, to cover 5 jars?
Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ?
A man sells two articles for Rs.2850 each and he gains 32% on the first and loses 18% on the next. Find his total gain or loss?
The perimeter of a square is 48 m. Find the area of the square.
In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 48, the dividend is:
Five bells first begin to toll together and then at intervals of 5, 10, 15, 20 and 25 seconds respectively. After what interval of time will they toll again together?
As x increases from 131 to 132, which of the following increases? I) x−1/x II) 17−1/x III) (17+x)/x
16 men can complete a piece of work in 25 days. In how many days can 20 men complete that piece of work?
Two cars start at the same time from opposite ends of a highway that is 333 miles long. One car is riding at 54 mph and the second car is riding at 57 mph. How long after they begin will they meet?
You have a rock solid dark chocolate bar of size 2 x 8. You need to break it and get 1 x 1 pieces of that chocolate. If you can break that bar only along its length or breadth, how many times will you have to break to get the 1 x 1 pieces?
The price of an item is discounted 5 percent on day 1 of a sale. On day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 15 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
A and B started a partnership business investing some amount in the ratio of 7 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?
6 people meet for a business gathering. Each person shakes hands once with each other person present. How many handshakes take place?
Find a two digit number, given that the sum of the digits is 9 and the difference of the digits is 3.?
If 20% of 30 is greater than 25% of a number by 2, the number is:
8 liters of solution is removed from 20% milk solution and 8 liters of water is added to the solution. The resulting solution has 16% milk in it. What was the initial quantity of the 20% milk solution?
A person can row at 10 kmph in still water. If the velocity of the current is 2 kmph and it takes him 30 hour to row to a place and come back, how far is the place?
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 5 years and that for 15 years?
Which of the following cannot be the range of a set consisting of 5 odd multiples of 11?
A new tower has just been built at the Verbico military hospital; the number of beds available for patients at the hospital is now 2 times the number available before the new tower was built. Currently, 1/3 of the hospital's original beds, as well as 1/5 of the beds in the new tower, are occupied. For the purposes of renovating the hospital's original wing, all of the patients in the hospital's original beds must be transferred to beds in the new tower. If patients are neither admitted nor discharged during the transfer, what fraction of the beds in the new tower will be unoccupied once the transfer is complete?
If p is a positive integer and 10p/96 is an integer, then the minimum number of unique prime factors p could have is B:
George baked a total of 150 pizzas for 7 straight days, beginning on Saturday. He baked 3/5 of the pizzas the first day, and 3/5 of the remaining pizzas the second day. If each successive day he baked fewer pizzas than the previous day, what is the maximum number of pizzas he could have baked on Wednesday?
Of the people who responded to a market survey, 200 preferred Brand X and the rest preferred Brand Y. If the respondents indicated a preference for Brand X over Brand Y by ratio of 4 to 1, how many people responded to the survey?
A wheel makes 1000 revolutions in covering a distance of 88 km. Find the radius of the wheel.
In a group of 800 people, 1/5 play at least one instrument, 128 play two or more. What is the probability that one student play exactly one instrument?

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