Math Riddles

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What number is that, which, added separately to 100 and 164, shall make them perfect squares?

How can you give someone $63 using six bills, without using any one dollar bills?

A box of hardware contains nuts and bolts. The bolts account for 25 percent of the number of items in the box. What percentage are the bolts of the entire box?

A woman is walking down a street night at a constant pace. As she passes the street light, she notices that her shadow becomes longer. Does the top of her shadow move faster, slower or the same when the shadow is longer as when it is shorter?

Out of 100 ladies attending the gala,85 had a white hand bag;75 had black shoes;60 carried an umbrella;90 wore a ring; How many ladies must have had all four items?