Brain Teasers & Puzzles

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You can only use any letter once, what are the largest and smallest numbers that you could write down in words?
Example: EIGHTY
But not NINETY as N is used twice
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Use a mathematical symbol between 5 and 9, to get a number greater than 4 and Lesser than 8.
(Note – Trick)
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Find a secret 10digit number where the first digit is equal to number of zeros in the number, the second digit is equal to number of one in the number and so on, until the tenth digit which is equal to number of nines in the number.
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Two friends went on for a climbing trip. But only one returned from the vacation and said that his friend slipped off while climbing and died. On investigating, the local sheriff arrested him saying, ‘Your travel agent called. You murdered your friend.’
The man did not inform anyone about the trip. Then how did the agent was so sure that it is a murder?
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