Aptitude Puzzle

Pairs of primes numbers separated by a single number are called prime pairs like 17 and 19. Prove that the number between a prime pair is always divisible by 6 (assuming both numbers in the pair are greater than 6).
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There are two ropes which are of different length.
Each rope takes 60 minutes to burn completely when set on fire from one end.
You have to measure 45 minutes of time with the help of this ropes.
You cannot fold the ropes to half or tamper any of them.View SolutionSubmit Solution 388 views
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Jacob and John were busily emptying their book shelves from one room to another.
Jacob on his own could have cleared the room in 18 hours.
John also would take 18 hours.
Unfortunately, James was moving the books back into the first room from the second.
He could fill the first room in 36 hours.
How long will it take the three of them to complete the task?
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