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If 3 workers collect 48 kg of cotton in 4 days, how many kg of cotton will 9 workers collect in 2 days?
Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?
The volume of the sphere Q is (37/64)% less than the volume of sphere P and the volume of sphere R is (19/27)% less than that of sphere Q. By what is the surface area of sphere R less than the surface area of sphere P?
Eight years ago, Ajay's age was 4/3 times that of Vijay. Eight years hence, Ajay's age will be 6/5 times that of Vijay. What is the present age of Ajay?
A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 10 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
Jose completes a piece of work in 10 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
The equation of line m is y = 4/3*x - 100. What is the smallest possible distance in the xy-plane from the point with coordinates (0, 0) to any point on line m?
A retail appliance store priced a video recorder at 20 percent above the wholesale cost of $200. If a store employee applied the 15 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder?
The average salary/head of allthe workers in a workshop is Rs.850, if the average salary/head of 7technician is Rs.1000 and the average salary/head of the rest is Rs.780, the total no. of workers in the work-shop is ?
The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 11. What is the last numbers?
A certain student has received the following test grades: 94%, 83%, 71%, 82%, and 88%. If the highest test grade is increased by 5 percentage points, which of the following statements best describes the change in the mean and the median of the test grades?
How many different 5 digit numbers can be formed from the number 28579 by re-arranging its digits so that the odd digits occupy even position
By selling 32 plums in a dollar, a man loses 40%. How many plums must he sell in a dollar to gain 20% profit?
A boy wants to go abroad by boat and return by flight. He has a choice of 6 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey?
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
There are 24 stations between Ernakulam and Chennai. How many second class tickets have to be printed, so that a passenger can travel from one station to any other station?
A rectangular-shaped carpet that measures x feet by y feet is priced at $50. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
The local recycling plant had a contract requiring anyone who obtained recycled bottles for storage for them, to bring them back to be recycled again. The plant could make one new bottle from every seven bottles returned. One week, on Monday, they got 343 bottles to recycle. Assuming that everybody brought back all the...
Four of the five parts numbered (a),(b),(c),(d) and (e) in the following equation are exactly equal. Which of the parts is not equal to the other four? The number of that part is the answer.
What is the area of a rectangle whose length is twice its width and whose perimeter is equal to that of a square whose area is 1?
John tossed a fair coin 6 times. What is the probability that the coin landed heads up exactly twice?
Jack and Bill are randomly picking students to play kick-ball on the playground, one at a time (without return), from a group of ten students. Only five of the students among the twenty students are athletic. Jack picks first, then Bill, and so on.... What is the probability that Jack will get all of the athletes? (Ans...
If -3x > 6, which of the following must be true?
A 3-letter code word consists of letters B, and C. If the code includes all the two letters, how many such codes are possible?
Lucy deposited $62500 in an investment fund that provided 12 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in months, did her investment earn a total interest of $5100?
The residents of Town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and a standard deviation of 8 hours. The number of hours that Pat, a resident of Town X, watched television last week w...
If the capacity of a cylindrical tank is 1848 m3 and the diameter of its base is 14 m, then find the depth of the tank.
The equation q = 2y2 + 5y - 17, describes a parabola in the xy coordinate plane. If line l, with slope of 3, intersects the parabola in the upper-left quadrant at q = -5, the equation for l is
Subtract. Simplify your answer and write it as a proper fraction or as a whole or mixed number. 4/5 - 1/5=
What are the last two digits of 63*35*37*82*71*41?
Two trains start simultaneously from opposite ends of a 180-km route and travel toward each other on parallel tracks. Train X, traveling at a constant rate, completes the 180-km trip in 5 hours. Train Y, travelling at a constant rate, completes the 180-km trip in 4 hours. How many kilometers had Train X traveled when i...
What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?
Find the product of the local value and absolute value of 4 in 20468?
From a group of 4 boys and 4 girls, 4 children are to be randomly selected. What is the probability that 2 boys and 2 girls will be selected?
From a group of 16 astronauts that includes 7 people with previous experience in space flight, a 3-person crew is to be selected so that exactly 1 person in the crew has previous experience in space flight. How many different crews of this type are possible?
A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 80 days, then together ,all will finish the work in :
Ramu mixed 40% kerosene solution to 25% kerosene solution hence obtaining 30% kerosene solution. In what ratio were the both solutions mixed?
When p is divided by 9, the remainder is 3. All of the following are possible values of p, except for which of the following?
In an examination a pupil's average marks were 63 per paper. If he had obtained 26 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?
Factor: 4x4y3 – 64y3
WINK, Inc. follows a certain procedure that requires two tasks to be finished independently in order for a job to be done. On any given day, there is a 2/3 probability that task 1 will be completed on time, and a 3/5 probability that task 2 will be completed on time. On a certain day, what is the probability that task ...
A little girl is numbering her collection of butterflies by placing single-digit stickers under each specimen. If the girl has 330 butterflies, how many stickers does she need? (The numbers are consecutive and the number of the first butterfly is 1).
On a journey across Bombay, a tourist bus averages 10 km/h for 20% of the distance, 30 km/h for 60% of it and 20 km/h for the remainder. The average speed for the whole journey was
If a tire rotates at 400 revolutions per minute when the car is traveling 24km/h, what is the circumference of the tire?
What is the remainder when 3^33 is divided by 5?
Three numbers are in the ratio 3:5:7. The largest number value is 42. Find difference between Smallest & largest number is?
A man in a train notices that he can count 21 telephone posts in one minute.If they are known to be 50 meters apart , then at what speed is the train travelling ?
Prove the theorem, due to Kraitchik, asserting that 13|2^70+3^70
If selling price is doubled, the profit triples. Find the profit percent
10 one question was x*y^2*z<0 then
How long does a train 165 meters long running at the rate of 36 kmph take to cross a bridge 660 meters in length?
Which of the following is an irrational numbers?
A bakery opened yesterday with its daily supply of 50 dozen rolls. Half of the rolls were sold by noon, and 84 percent of the remaining rolls were sold between noon and closing time. How many dozen rolls had not been sold when the bakery closed yesterday?
A certain fruit stand sold apples for $0.70 each and cherry for $0.50 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase ?
Three flats of the same type were advertised to be let in a housing complex. Three men made separate applications for a flat. What is the probability that each of them applied for the same house.
In one hour a boat goes 13 km long the stream and 9 km against the stream.The speed of the boat in still water is?
If the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area ?
Today is Thursday. A person wants to meet a lawyer and as that lawyer is busy he asks him to come three days after the before day of the day after tomorrow? On which day the lawyer asks the person to come?
Mapy bought shares for a total value of $1000. Next day, the price of shares is reduced by 10%. With the same $1000, he could now buy 10 more shares. Which of the following is closest to the original price per share?
Students are asked to create a record of the recital of a poem for English class in groups of three. The tape length should be 1,200 seconds. The students assigned different stanzas of the poem to each member, and the individual records were compiled. If member three took 3 times longer than member two, and member two ...
What is the missing number in this series? 8 2 14 6 11 ? 14 6 18 12
There are 7 teams in a certain league and each team plays each of the other teams exactly twice. If each game is played by 2 teams, what is the total number of games played?
The percentage increase in the area of rectangle , if each of its side is increased by 10% is?
The sum of the digits of a two-digit number is 15 and the difference between the digits is 3. What is the two-digit number?
If 50% of (x-y) = 30% of (x+y), then what percent of x is y?
The average of five results is 46 and that of the first four is 45. The fifth result is?
The difference between two numbers 1365.When the larger number is divided by the smaller one the quotient is 6 and the remainder is 15.The smaller number is?
Find the perimeter and area of a square of side 11 cm.
Tim and Stacy need to select seats in a row of chairs that are numbered in order from 1 to 5. If Tim cannot sit in an even-numbered seat and Stacy cannot sit in an odd-numbered seat, how many arrangements are possible if the two cannot sit adjacent to each other and Tim and Stacy are the only people to be seated?
A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 36 percent of the distribution lies within one standard deviation d of the mean, what percent of the distribution is less than m + d ?
A can do a certain job in 14 days. B is 60% more efficient than A. How many days does B alone take to do the same job?
The cross-section of a water channel is a trapezium in shape. If the channel is 12 meters wide at the top and 6 meters wide at the bottom and the area of cross-section is 630 square meters, what is the depth of the channel (in meters)?
Set J consists of 18 consecutive even numbers. If the smallest term in the set is -12, what is the range of the positive integers in set J?
In a certain state, the ratio of registered Republicans to registered Democrats is 3 to 2, and every registered voter is either a Republican or a Democrat. If 80 percent of the Republicans and 20 percent of the Democrats are expected to vote for Candidate X, and everyone else is expected to vote for Candidate Y, by wha...
The variables a and b are non-zero integers Q. If a = 2b^3/c, what happens to c when a is halved and b is doubled?
Abbey has $460 in 5-and 10-dollar bills only. If she has fewer 10-than 5-dollar bills, what is the least possible number of 5-dollar bills she could have?
In the xy-coordinate system, what is the slope of the line that goes through the point (1, 1) and is equidistant from the two points P = (3, 7) and Q = (9, 11)?
A man walking at a constant rate of 5 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 15 miles per hour. The woman stops to wait for the man 2 minutes after passing him, while the man continues to walk at his constant rate. How many minutes must the woman wa...
A tank has a capacity of 20 gallons and is full of spirit. 4 gallons of spirit is drawn out and the container is again filled with water. This process is repeated 5 times. Find how much spirit is left in the resulting mixture finally?
A club with a total membership of 30 has formed 3 committees, M, S and R, which have 8, 12 and 5 members respectively. If no members of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees?
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 78 minutes. The waste pipe can empty the full cistern in?
N and M are each 3-digit integers. Each of the numbers 2, 3,4,5, 6, and 7 is a digit of either N or M. What is the smallest possible positive difference between N and M?
A department of eleven people - five men and six women - needs to send a team of five to a conference. If they want to make sure that there are no more than three members of the team from any one gender, how many distinct groups are possible to send?
A baseball team won 45 percent of the first 80 games it played. How many of the remaining 85 games will the team have to win in order to have won exactly 40 percent of all the games it played?
A person decided to build a house in 100 days. He employed 100 men in the beginning and 100 more after 20 days and completed the construction in stipulated time. If he had not employed the additional men , how many days behind schedule would it have been finished?
Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. If the total sum of their investments is Rs. 6936, how much amount did Raghu invest ?
The CI on a certain sum for 2yrs at 10 percent/annum is Rs. 525. The SI on the same sum for double the time at 1/2 the rate % per annum is:
The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ?
The difference between compound interest and simple interest on a certain amount of money at 5% per annum for 2 years is 18. Find the sum :
Two numbers have a H.C.F of 20 and a product of two numbers is 2560. Find the L.C.M of the two numbers?
Out of 10 persons working on a project, 5 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
If the probability W of rain on any given day in city x is 50% what is the probability it with rain on exactly 3 days in a five day period?
If a man lost 5% by selling oranges at the rate of 8 a rupee at how many a rupee must he sell them to gain 52%?
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?
A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. How many times shall they cross each other before 10.00 a.m. ?
at a time A,do 20% less work than B.if A do any work in 15/2 hour,then in how many hour B will finish work?
John can eat a quarter of a pizza in one minute. How long does it take John to eat one pizza and a half?
A group consists of 4 men, 6 women and 5 children. In how many ways can 3 men, 2 women and 3 children selected from the given group?
A tradesman sold an article at a loss of 20%. If the selling price had been increased by $100, there would have been a gain of 5%. What was the cost price of the article ?
A train 460 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?