Product and Sum Always Same

Our product and our sum always give the same answer. Who are we?




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The dirtier I get, the whiter I look. Who am I?

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Decode below rebus
D
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I never stop running even when I standstill. If I am formed by joining two identical bodies together, can you guess who I am?

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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.

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Eight of us go fourth, not back, to protect our king from an attack. What are we?

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Fate has decided that you will only be pleased to meet me when you need me

Maybe that is why, when I am working, I start working

However annoying I may be to the regulars, the little ones are always inspired

I will always be waiting if you try to reach me

How many of you can guess my name, let me see

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No Solution

In 2007, a puzzle was released and $2 million prizes were offered for the first complete solution. The competition ended at noon on 31 December 2010, with no solution being found. Wiki