Apply your Logic

Given that

(78)^9 = 6
And (69)^4 = 11

Can you find out

(99)^2 =?

(Note: This is Logical, not Mathematical)




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John went to meet his friend Jacob, but when he was about to reach the main gate, John notices that Jacob had a mighty dog who was fastened to the tree. The chain is long enough that it allows the dog to reach the main gate.

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What are the 50th, 63rd and 100th numbers in the sequence below?
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There are people and strange monkeys on this island, and you can not tell who is who (Edit: until you understand what they said - see below). They speak either only the truth or only lies.
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2. The Swede keeps dogs as pets.
3. The Dane drinks tea.
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7. The owner of the yellow house smokes Dunhill.
8. The owner living in the centre house drinks milk.
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12. The owner who smokes blue masters drinks beer.
13. The German smokes Prince.
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Now, the question is…Who owns the fish?

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Which number should replace the question mark?

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A man fell off a smuggling boat into deep water. He could not swim and he was not wearing anything to keep him afloat. It took 30 minutes for the people on the boat to realize someone was missing. The missing man was rescued two hours later on the return trip. Why didn't he drown? Note:- He didn't know swimming, the sea was deep, and He wasn't holding anything

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Challenging

There is a cryptic organization called Cicada 3301 that posts challenging puzzles online, possibly to recruit codebreakers and linguists.