Six words have had their birds removed. The birds have been placed into Group A. The remaining letters of each word have been placed into Group B. Your task is to reconstitute the words by merging each bird with the proper set of letters. Other than merging the two groups together, there is no rearranging of the letters. Example: sand + pne = spanned (SpANneD).

Group A: crow, hawk, owl, raven, robin, wren
Group B: itt, ndior, ossb, tre,...

Letter Equations are well known phrases or facts where the key words have been replaced with the first letter of that word. These are often in the form of an equation, which contain a number, an = sign and the rest of the obscured phrase or fact.

1 = H on a D C

Six words have had their colors removed. The colors have been placed into Group A. The remaining letters of each word have been placed into Group B. Your task is to reconstitute the words by merging each color with the proper set of letters. Other than merging the two groups together, there is no rearranging of the letters. Example: sand + pne = spanned (SpANneD).

Group A: blue, brown, cyan, green, pink, red
Group B: agssivess, astr, ...

There are 12 gold coins. One of the coins is fake. It is known that a fake coin weighs either slightly less or slightly more than a real coin. Using a balance scale, how can you find the fake coin, and determine if it weighs less or more than a real coin, in only three weighings?