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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The below is a number puzzle. It should be read left to right, top to bottom.
1
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? ? ? ? ? ?
? ? ? ? ? ? ? ?
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Squares in Chess Board

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What makes this number unique: 8,549,176,320?

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You are an expert on paranormal activity and have been hired to locate a spirit haunting an old resort hotel. Strong signs indicate that the spirit lies behind one of four doors. The inscriptions on each door read as follows:

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Which of the trains will be farther from point A when they meet ?

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If one and a half boys, eat one and a half burgers in one and a half hours.

How many burgers can 9 boys eat in 3 hours?

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Amazing Facts

Challenging

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