Doing no harm, and feeling no pain

Only one color, but not one size,
Stuck at the bottom, yet easily flies.
Present in sun, but not in rain,
Doing no harm, and feeling no pain.
What am I?

Five puzzles in a row

1. There is a bus with 7 children inside. Each child has 7 bags. Inside each bag there are 7 big cats. Each big cat has 7 small cats. All cats have 4 legs each. How many legs are on the bus?

2. You see me everyday in your house, yet you can never shake my hand What am I?

3. When is a door not a door?

4. A man walks into his bathroom and shoots himself right between the eyes using a real gun with real bullets. He walks out alive, with no blood anywhere. And no, he didn't miss and he wasn't Superman or any other caped crusader. How did he do this?

5. If a person rode over a bridge on Sunday, stayed a week, and came back on the same exact Sunday, how did he do it?

Play with expressions

Using numbers 1, 2, 3, 4, 5, 6 once and only once, can you get 791?
Operations allowed are - addition [+], subtraction [-], multiplication [*], division [/] and Exponentiation [^] . Parentheses [()] can be used.

Mysterious Suicide

Sushil Bhatia's cnotribution >>

Two police offers were investigating a mysterious death.

When they arrived at the scene of the crime they found a room with no windows and the dead man who seemed to have hung himself by a rope from the ceiling.

There was no chair or table that the man may have jumped off.

The only clue was a puddle of water on the floor.

How did the man manage to hang himself?

Frog Prince

After the frog turned into a handsome prince and the princess fell in love with him, the king said, "Not so fast! If my daughter is going to marry a former frog, I want to make sure he can do more than catch flies." And he insisted that the prince take an intelligence test. "One of these three boxes is filled with precious jewels. The other two contain pebbles from the pond you just left. As you see, the boxes all have inscriptions. Box No. 1 says, 'The jewelry is in this box.' Box No. 2 says, 'The jewelry is not in this box.' And Box No. 3 says, 'The jewelry is not in the first box'."

"I see," said the prince. The king continued, "If I told you how many of these inscriptions are true, you would be able to figure out where the jewelry is. Where is it?"

Fill the blanks

Write 1 to 9 digit in these blanks.... and make this expression = 100
Needless to say BODMAS applies

_ / _ *_ + _ * _ *_ / _ + _ * _

Summer Months

What occurs once in June, once in July and twice in August?