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The parameter of a square is equal to the perimeter of a rectangle of length 22 cm and breadth 16 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
n a contest, a bowl contains 10 keys, one of which will open a treasure chest and nine of which will not. If a contestant selects the key that opens the treasure chest, she wins the contents of that chest. If Anna is allowed to draw two keys, simultaneously and at random, from the bowl as the first contestant, what is ...
Special codes are designated by either a 3-letter or a 4-letter code that is created by using the 26 letters of the alphabet. Which of the following gives the maximum number of different codes that can be designated with this system?
The manager of a produce market purchased a quantity of tomatoes for $0.80 per pound. Due to improper handling, 10 percent of the tomatoes, by weight, were ruined and discarded. At what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 12 ...
A bag contains $510 in the form of 50 p, 25 p and 20 p coins in the ratio 2 : 3 : 4. Find the number of coins of each type.
For all numbers a and b, the operationis defined by ab = (a + 2)(b – 3). If 3x = –75, then x =
Find the value of 1/(3+1/(3+1/(3-1/3)))
If x, y, and z are consecutive odd integers, with x < y < z, then which of the following must be true? I. y-x is even II. (z-x)/y is an integer III. xz is even
A man can swim in still water at 3 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
John buys 100 shares of par value Rs. 20 each, of a company, which pays an annual dividend of 12% at such a price that he gets 10% on his investment. Find the market value of a share.
From theinteger n, if nnn is odd, then what is true from below options?
What is the sum of the different positive prime factors of 660?
For the positive integers q, r, s, and t, the remainder when q is divided by r is 7 and the remainder when s is divided by t is 3. All of the following are possible values for the product rt EXCEPT
Of the 65 cars on a car lot, 45 have air-bag, 30 have power windows, and 12 have both air-bag and power windows. How many of the cars on the lot have neither air-bag nor power windows?
The G.C.D of 1.08, 0.36 and 0.6 is
A person has 100$ in 10$ and 5$ bill.If the 5$ bill quantity is twice that of 10$ bill.What is quantity of 10$.
A room contains 160 people, 15 percent of whom are women. A group of people, 20 percent of whom are women, leaves the room. Of the people remaining in the room, 10 percent are women. How many people left the room?
In how many ways Chief Minister and Minister be elected from a team of 12 members?
In how many ways can a Chief Minister and a Vice Minister be elected from a team of 8 members?
If a boat goes 7 km upstream in 42 minutes and the speed of the stream is 5 kmph, then the speed of the boat in still water is :
In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected ...
Two numbers are less than a third number by 30% and 37%. How much percent is the second number is less than the first?
A candidate appearing for an examination has to secure 40% marks to pass paper I. But he secured only 40 marks and failed by 20 marks. What is the maximum mark for paper I?
Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?
A single discount equivalent to the discount series of 20%, 10% and 8% is?
B completes a work in 6 days. A alone can do it in 10 days. If both work together, the work can be completed in how many days?
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
Which of the following reaches the largest value over the range -1 <= R <= 1?
Two circles, one with radius 10 inches and the other with radius 4 inches, are tangent at point A. Two insects start crawling at the same time from point A: one along the larger circle at 3π inches per minute, the other along the smaller circle at 2.5π inches per minute. How much time has elapsed when the two insects m...
In how many ways can 3 postcards can be posted in 5 postboxes?
Which of the following integers is a divisor of(15!+11)?
Pipes A and B can fill a tank in 6 and 4 hours. Pipe C can empty it in 12 hours. If all pipes are opened together, then the tank will be filled in?
A number with an interesting property: When I divide it by 2, the remainder is 1. When I divide it by 3, the remainder is 2. When I divide it by 4, the remainder is 3. When I divide it by 5, the remainder is 4. When I divide it by 6, the remainder is 5. When I divide it by 7, the remainder is 6. When I divide it by 8, ...
In a certain warehouse, 90 percent of the packages weigh less than 75 pounds, and a total of 48 packages weigh less than 25 pounds. If 80 percent of the packages weigh at least 25 pounds, how many of the packages weigh at least 25 pounds but less than 75 pounds?
Paul and Jack are 2 mechanics who work 8 hours per day changing oil in cars at The Oil Spot. If Paul can change oil in 2 cars per hour, and Jack can change oil in 3 cars per hour. What is the least number of cars per work day the 2 men can finish?
If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is
The total of 324 of 20 paise and 25 paise make a sum of Rs. 70. The no of 20 paise coins is
In the interior of a forest, a certain number of apes equal to the square of one-eighth of the total number are playing and having great fun. The remaining sixteen apes are on a hill and the echo of their shrieks by the adjoining hills frightens them. They came and join the apes in the forest and play with enthusiasm. ...
Find compound interest on Rs. 8000 at 15% per annum for 2 years 4 months, compounded annually.
A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?
Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 300 as interest at the end of the loan period, what was the rate of interest?
The integer x is divisible by both 7 and 21. Which of the following must be an integer?
Tanks A and E are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank E has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank E?
15 years hence, Rohan will be just four times as old as he was 15 years ago.How old is Rohan at present?
The average age of a group of 10 students was 20. The average age increased by 2 years when two new students joined the group. What is the average age of the two new students who joined the group?
If a car had traveled 30 kmh faster than it actually did, the trip would have lasted 30 minutes less. If the car went exactly 90 km, at what speed did it travel?
Find the smallest number which when divided by 11 and 13 leaves respective remainders of 4 and 6.
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 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?
3034 - (1002 / 200.4) = ?
After driving to a riverfront parking lot, Bob plans to run south along the river, turn around, and return to the parking lot, running north along the same path. After running 3.25 miles south, he decides to run for only 50 minutes more. If Bob runs at a constant rate of 8 minutes per mile, how many miles farther south...
There is 60% increase in an amount in 6 years at S.I. What will be the C.I. of Rs. 12,000 after 3 years at the same rate?
A garrison of 2000 men has provisions for 54 days. At the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement?
Find the length of the wire required to go 15 times round a square field containing 69696 m2.
Ram get 450 marks in his exam which is 90% of total marks. What is the total marks?
Jack, Jill, and Sandy each have one try to make a basket from half court. If their individual probabilities of making the basket are 1/6, 1/7, and 1/8 respectively, what is the probability that all three will miss?
M and N invested in a shop. The profits were divided in the ratio of 4 : 5 respectively. If M invested Rs. 40,000, the amount invested by N is:
7.51 8.22 7.86 8.36 8.09 7.83 8.30 8.01 7.73 8.25 7.96 8.53 A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data above. If th...
If integer k is equal to the sum of all even multiples of 25 between 200 and 600, what is the greatest prime factor of k?
If José reads at a constant rate of 2 pages every 6 minutes, how many seconds will it take him to read N pages?
An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.2400, what will be the difference between Q and R's share?
The first three terms of a proportion are 6, 12 and 24. The fourth term is?
How much time will take for an amount of Rs. 320 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
If 2^5, 3^3, and 11^2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w?
Amy has to go to three different stores this week. How many ways can she go to one or more stores today?
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets $500 more than D, what is A's share?
For each 6-month period during a light bulb's life span, the odds of it not burning out from over-use are half what they were in the previous 6-month period. If the odds of a light bulb burning out during the first 6-month period following its purchase are 2/3, what are the odds of it burning out during the period from...
In how many ways can a cricket eleven be chosen out of a batch of 15 players.
For how many values n is 2^n = n^2 ?
A money lender finds that due to a fall in the annual rate of interest from 8% to 7 1/2 % his yearly income diminishes by Rs.61.50. his capital is
A train covers a distance of 6 km in 10 min. If it takes 12 sec to pass a telegraph post, then the length of the train is?
The average (arithmetic mean) of four numbers is 5x + 9. If one of the numbers is 2x, what is the average of the other three numbers?
One fourth of a solution that was 15% sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent sugar by weight?
Find compound interest on Rs. 7500 at 4% per annum for 2 years, compounded annually.
An investor bought a 1-year $6,000 certificate of deposit that paid interest at an annual rate of 10 percent compounded semiannually. What was the total amount of interest paid on this certificate at maturity?
A man cheats while buying as well as while selling. While buying he takes 10% more than what he pays for and while selling he gives 20% less than what he claims to. Find the profit percent, if he sells at 9.09% below the cost price of the claimed weight.
A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is?
During 2005, a company produced an average of 2,500 products per month. How many products will the company need to produce from 2006 through 2008 in order to increase its monthly average for the period from 2005 through 2008 by 300% over its 2005 average?
Yearly subscription to professional magazines cost a company $940.00. To Make a 50% cut in the magazine budget, how much less must be spent?
The weight of four dogs is determined to be 42 pounds, 38 pounds, 35 pounds and 41 pounds respectively. The weight of a fifth dog is determined to be y pounds. If the average (arithmetic mean) weight of the first four dogs is the same as that of all five dogs what is the value of y?
By selling 150 mangoes, a fruit-seller gains the selling price of 30 mangoes. Find the gain percent?
A qualified worker digs a well in 5 hours. He invites 2 apprentices, both capable of working 3/4 as fast and 3 trainees both working 1/5 as fast as he. If the five-person team digs the same well, how much time does the team need to finish the job?
Due to construction, the speed limit along an 5-mile section of highway is reduced from 40 miles per hour to 22 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?
A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:
A person crosses a 500m long street in 5 minnutes. What is his speed in km per hour?
If 8 workers can build 8 cars in 8 days, then how many days would it take 4 workers to build 4 cars?
A batsman in his 12th innings makes a score of 92 and thereby increases his average by 2 runs. What is his average after the 12th innings if he had never been ‘not out’?
What is the remainder of G=3^19 when divided by 10?
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Positive integer x has m factors; 3x has 3 factors; Which of the following values can m take? I. 1 II. 2 III. 3
If x/y = 2/5, then (x + y)/(x - y) = ?
The owner of a furniture shop charges his customer 18% more than the cost price. If a customer paid Rs. 6000 for a computer table, then what was the cost price of the computer table?
A clock is set at 5 a.m. The clock loses 16 minutes in 24 hours. What will be the true time when the clock indicates 10 p.m. on 4th day?
If B is the center of the circle in the figure above and the area of the shaded region is 16π, what is the length of arc ADC?
If $50,000,000 is the initial amount placed in an account that collects 7% annual interest, which of the following compounding rates would produce the largest total amount after two years?
Two trains 137 meters and 163 meters in length are running towards each other on parallel lines, one at the rate of 42 kmph and another at 48 kmpb. In what time will they be clear of each other from the moment they meet
Rodrick mixes a martini that has a volume of 'n' ounces having 37% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must he add?
The ages of Smirthi and Samantha vary by 16 years, Six years ago, Deepika’s age was three times as that of Smirthi’s, find their current ages.

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