Buy me, smell me or deliver me, I do not change.

Who am I?

One day, I thought of ways that can be used for creating a palindrome. So I decided that I will turn into a larger number by adding the reversed digits to the original number and keep doing it till I finally obtained a palindrome.

I am not sure if this process will always result in a palindrome eventually but I was able to produce a four-digit palindrome. Can you guess my starting number?

Count the number of times the letter "F" appears in the following paragraph:

FAY FRIED FIFTY POUNDS OF
SALTED FISH AND THREE POUNDS
OF DRY FENNEL FOR DINNER FOR
FORTY MEMBERS OF HER FATHER'S FAMILY.

If 5 cats catch 5 mice in 5 minutes, how long will it take one cat to catch a mouse?

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

When I got four, I have it none.
When I got two, I have it some.
When I got none, I have it all.

What is it?

A California farmer owns a beautiful pear tree. He supplies the fruit to a nearby grocery store. The store owner calls the farmer to see how much fruit is available for him to buy. The farmer knows the main trunk has 24 branches. Each branch has exactly 12 boughs and each bough has exactly 6 twigs. Since each twig bears one piece of fruit, how many plums will the farmer be able to deliver?

Can you solve the maths in the below-given picture equation?

I look at you, you look at me, I raise my right, you raise your left. What am I?

Can you find the key in the picture below?