2, 3, 5, 9, 17, _ What is the next number in the sequence?

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?

I have branches, but no fruit, trunk or leaves. What am I?

If you paint a brown house white it will become a white house. If the stoplight changes from red to green, then the light is green. So, if you throw a white shirt into the Red Sea, what will it become?

What demands an answer, but asks no questions

I have eight fingers and two thumbs but I do not live. What Am I?

How many triangles can you find in this given picture?

In the attached figure, you can see a chessboard and two rooks placed on the chess board. What you have to find is the number of squares that do not contain the rooks. How many are there?

What will be the best approach to finding all the prime numbers less than 75 that leave an odd reminder when we divide them with 5?

'Ferrari driver' easily beats the 'force driver' in a two-car race. How did Indian newspapers truthfully report so to look as a 'force drive' had outdone the 'Ferrari driver'? Think!!!