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

If "P" means "-", "Q" means "/", "R" means "+", and "S" means "*" then find the value of the following:

21 Q 7 R 9 S 10 P 13

There are 2 cops parked along a one-way street looking for traffic violations. They spot a taxi driver going in the wrong direction, yet they do nothing.

Why?

Jenifer and Jesica are having a conversation.

Jenifer: I am definitely not over 30.
Jesica: I am 28 and you are surely 5 years older to me at least.
Jenifer: No, you are at least 29.

You are told that both of them are lying throughout in the conversation. Can you find their respective ages?

Jim and Sarah are in a long-distance relationship. Jim buys an engagement ring for Sarah and wants to mail it to her. Unfortunately, the only way to ensure the ring will be received is to place a lock on the package. Jim has locks and Sarah has locks, but neither has keys for each other’s locks. How can they make sure the ring isn’t stolen?

If you toss a coin 10 times and it lands heads up every time, what are the chances it will land heads up if you toss it again?

Can you move 2 matchsticks to form four equal sized squares.

I know a nine-letter word having only one vowel.
Do you ?

There is a square of a particular number which when doubled, becomes 7 more than its quarter.

Can you find the number?

Which word is least like the others? Third, fourth, fifth, sixth, seventh, eighth, ninth?