what does this picture(rebus) riddle means ?

Place the numbers from 1 to 9 in the circles in a manner that each side of the triangle sums up to 17.

A four-digit number (not beginning with 0) can be represented by ABCD. There is one number such that ABCD=A^B*C^D, where A^B means A raised to the B power. Can you find it?

Can you find a five letter word that is left with only two letters if one is removed?

What has one letter and starts with an E?

Irene killed hundreds of people mercilessly and yet the police were not able to put her behind the bars. Why?

Find the next number in the sequence

5 12 24 36 ?

It comprises roots which nobody sees,
Much taller than those trees,
Up and up it goes,
Still it never grows?

An octopus has 8 legs. A hippogriff has 6 legs and 2 pairs of wings. A sphinx has 6 legs and one pair of wings. Now we have all 3 kinds and a total of 18 insects in a cage. We have a total of 118 legs and 20 pairs of wings. How many insects do we have of each kind?

I am the one who remains awake when you sleep. But I need to rest when you awake. Who Am I?