School Inspection

An inspection by the superintendent of St. Joseph School was scheduled on the next day. The class teacher Jenifer knew that he would be asking questions from her class and she would have to choose a pupil to answer. To offer a perfect impression over him, the teacher explained certain instructions to the students to maximise the chances of getting correct answer every time.

What did she say to the students?




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Out of three Friends John, Jacob and Jonny one of them is a king, one is a bureaucrat, and one is a Spy.

The king always tells the truth, the bureaucrat always lies, and the Spy can either lie or tell the truth.

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Jacob says: John is a king
Jonny says: I am a Spy

Tell me, Who is the king, who is the bureaucrat, and who is the Spy?

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D
N
A
T
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John knows the product of the numbers and Jacob knows the sum of numbers.

The following conversation takes place between them:
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John: 'Now I know them!'
Jacob: 'Now I know them, too!'

What are the two numbers?

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Place a mathematical symbol between the numerals 5 and 9 in such a way that the resulting number is greater than 5 but smaller than 9.

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What was the idea ?

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A four-digit number (not beginning with 0) can be represented by ABCD. There is one number such that ABCD=A^B*C^D, where A^B means A raised to the B power. Can you find it?

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Hint 2: I am environment-friendly.

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Crossword puzzles

In the 1920s, people feared that crossword puzzles would contribute to illiteracy.