Aptitude Puzzle

Consider a list of 2000 statements:
1) Exactly one statement on this list is false.
2) Exactly two statements on this list are false.
3) Exactly three statements on this list are false.
. . .
2000) Exactly 2000 statements on this list are false.
Which statements are true and which are false?What happens if you replace “exactly” with “at least”?
What happens if you replace “exactly” with “at most”?
What happens in all three cases if you replace “false” with “true”?
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Mr. Dutch, Mr. English, Mr. Painter, and Mr. Writer are all teachers at the same school. Each teacher teaches two different subjects. Furthermore:
three teachers teach Dutch language;
there is only one maths teacher;
there are two teachers for chemistry;
two teachers, Simon and Mr. English, teach history;
Peter does not teach Dutch language;
Steven is chemistry teacher;
Mr. Dutch does not teach any course that is taught by Karl or Mr. Painter.What is the full name of each teacher and which two subjects does each one teach?
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You have five pieces of chain, each consisting of three links. You want to make one long chain of these five pieces. Breaking open a link costs 1 $, and welding an open link costs 3 $.
Is it possible to make one long chain of the five pieces, if you have just 15 $?
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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 479 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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