Mathematical Puzzle

On Bagshot Island, there is an airport. The airport is the homebase of an unlimited number of identical airplanes. Each airplane has a fuel capacity to allow it to fly exactly 1/2 way around the world, along a great circle. The planes have the ability to refuel in flight without loss of speed or spillage of fuel. Though the fuel is unlimited, the island is the only source of fuel.
What is the fewest number of aircraft necessary to get one plane all the way around the world assuming that all of the aircraft must return safely to the airport? How did you get to your answer?Notes:
(a) Each airplane must depart and return to the same airport, and that is the only airport they can land and refuel on ground.
(b) Each airplane must have enough fuel to return to airport.
(c) The time and fuel consumption of refueling can be ignored. (so we can also assume that one airplane can refuel more than one airplanes in air at the same time.)
(d) The amount of fuel airplanes carrying can be zero as long as the other airplane is refueling these airplanes. What is the fewest number of airplanes and number of tanks of fuel needed to accomplish this work? (we only need airplane to go around the world)View SolutionSubmit Solution 27068 views
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4, 6, 12, 18, 30, 42, 60, 72, 102, 108, ?, ?, ?
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You can place weights on both side of weighing balance and you need to measure all weights between 1 and 1000. For example if you have weights 1 and 3,now you can measure 1,3 and 4 like earlier case, and also you can measure 2,by placing 3 on one side and 1 on the side which contain the substance to be weighed. So question again is how many minimum weights and of what denominations you need to measure all weights from 1kg to 1000kg.
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Two old friends, Jack and Bill, meet after a long time.
Jack: Hey, how are you man?
Bill: Not bad, got married and I have three kids now.
Jack: That’s awesome. How old are they?
Bill: The product of their ages is 72 and the sum of their ages is the same as your birth date.
Jack: Cool… But I still don’t know.
Bill: My eldest kid just started taking piano lessons.
Jack: Oh now I get it.How old are Bill’s kids?
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A family I know has several children. Each boy in this family has as many suters as brothers but each of the girls has twice as many brothers as sisters. How many brothers and sisters are there?
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Fifty minutes ago if it was four times as many minutes past three o’clock, how many minutes is it until six o’clock?
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Next door to me live four brothers of different heights. Their average height is 74 inches, and the difference in heipht among the first three men is two inches/’The difference between the third and the fourth man is six inches.
Can you tell how tall is each brother?View SolutionSubmit Solution 2561 views
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Tricky question, be attentive
There are four airplanes flying in four different directions. Each of the plane navigates a straight line at a constant speed. Please keep in mind that none of the two planes are flying parallel with each other. They began flying at the same time long time ago. Sometimes, even a collision takes place but the strong build, makes the planes continue with the journey. But even the sturdy built can only survive two collisions and after that the plane will crash.Out of the six possible collisions, five have already taken place (do note that the collisions did not involve more than two planes at one time). Two planes have already crashed. What will be the fate of the remaining two planes?
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“How many minutes in a second?”
Wwith the stipulation being that the answer is “a four letter word in everyday use that is not ‘zero’ or ‘nada’ or ‘none'” (none of which would really be correct anyway).View SolutionSubmit Solution 2873 views
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Make this equation true. You may ONLY draw ONE, PERFECTLY straight line
5+5+5=550
There are 4 acceptable answers.
You must get all 4 for a correct answer.View SolutionSubmit Solution 2382 views
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