Cyclic Numbers

There is a unique number which when multiplied by any number from 1 to 6, we will get the new number that contains the same digits only.

Can you find that number?




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Living above a star, I do not burn
Eleven friends and they do not turn
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PQRS are my initials
Can you tell my name accurately?

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In a family supper, a grandfather, a grandmother, two fathers, two mothers, four children, three grandchildren, one brother, two sisters, two sons, two daughters, one daughter-in-law, and one mother-in-law need to sit at a table.

There are only seven chairs available at the place. How many more chairs do they have to borrow so that everyone can sit down together for the suppers if everybody requires a separate chair?

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I never was there, I am always to be.
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If you go to the movies and you're paying, is it cheaper to take one friend to the movies twice, or two friends to the movies at the same time?

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Next Number in the Series,

5, 16, 49, 104, ?

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How many letters are in the alphabet?

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The following alphametic has only one solution. Can you find it?
ENLIST + SILENT + LISTEN = ANAGRAM

PS: You may start the number from 0.

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The day after tomorrow will be three days before Tuesday. Can you find out what is today?

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I don't get anymore wetter, no matter how much rain falls on me.

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Gamers

In 2011, people playing Foldit, an online puzzle game about protein folding, resolved the structure of an enzyme that causes an Aids-like disease in monkeys. Researchers had been working on the problem for 13 years. The gamers solved it in three weeks.