Unlock the Cipher

Decode below rebus
D
N
A
T
S , D




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I went to the bookshop and spent one-half of the money that was in my purse.

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You are given 16 witch hats. The hats are divided in four different colours – red, blue, green and yellow. Every colour has been assigned to four hats. Now each of the hat will be glued with a label of an arithmetic sign – ‘+’, ‘-‘, ‘x’ or ‘/’. But you can label one sign only once on one colour. In such an arrangement, the hats can be uniquely defined by its colour and symbol.

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We have arranged four hats in the below picture to assist you.

Arrange Hats in Squares

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Alpha is Beta's sister.

Gamma is a Beta mother.

Delta is Gamma's father.

Tango is Delta's mother.

Then,

How is Alpha related to Delta?

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What is in seasons, seconds, centuries and minutes but not in decades, years or days?

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I possess a head

I flaunt a tail

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Can you find out who I am?

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