Square the Number

There is a square of a particular number which when doubled, becomes 7 more than its quarter.

Can you find the number?




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There is a river to cross using a river raft and there are eight people (father, mother, policeman, thief, 2 daughters and 2 sons). No one knows to operate the raft except the adults and also excluding the thief. Only two people can go in the raft at a time. The raft should keep coming back and forth in order to pick and drop the people.
Rules to be followed:
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Thief: the thief is not allowed to stay with any of the family members unless there is a policeman.
Policeman: the policeman can travel with anyone.
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The rules are applicable not only in the raft but also outside the raft.

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Two prisoners Jack and Jill are locked in a cell.
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They are never able to reach there.

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After digging for more than 20 days, Jill comes with the different plan and they escaped.

what was the plan ?

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I came first on earth but second on the heaven.
I also came twice in a week but found just once in a year.
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John was piloting a plane behind a car but was never able to overtake it. Why?

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