All but Two

A man describes his daughters, saying, “They are all blonde but two; all brunette but two; and all redheaded but two.” How many daughters does the man have?

The man has 3 daughters; one blonde, one brunette, and one redhead.

Symmetry and Perplexion

Find an X > 1, such that:

If we pick X=√2, (using a somewhat ambiguous notation) we get:

To see that the equality above holds, simply note that 2=(√2)² and take √2 root of both sides.

Peculiar Sequence of Words

What is the peculiar property of this sequence of words?

WHAT, HOLE, ALES, TEST

If you take the first letter from each word, you will spell the first word in the sequence.
If you take the second letter from each word, you will spell the second word in the sequence.
If you take the third letter from each word, you will spell the third word in the sequence.
If you take the fourth letter from each word, you will spell the fourth word in the sequence.

Breaks and Never Falls

What breaks and never falls, and what falls and never breaks?

Day breaks and night falls.