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

Use the numbers 2, 3, 4 and 5 and the symbols + and = to make a true equation. Conditions: Each must be used exactly once and no other numbers or symbols can be used.

One is to three as three is to five and five is to four and four is the magic number.
What is the pattern?

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

Who am I?

A man has eighty-one cows ( numbered 1,2,3...81 as such). The beauty is that cow no. 1 gives 1ltr of milk, cow no. 2 gives 2ltrs of milk and so on. The man wants to equally distribute the cows among his nine sons so that each one of them gets the same quantity of milk.

I make a loud sound when I’m changing. When I do change, I get bigger but weigh less. What am I?

What four weights can be used to balance from 1 to 30 pounds?

Two in a corner, one in a room, zero in a house, but one in a shelter. What is it?

There are a hundred statements.

First person says: At least one of the statements is false.

Second person says: At least two of the statements is false.

Third person says: At least three of the statements are false.

Fourth person says: At least four of the statements are false.

..

..

..

Hundredth person says: At least a hundred of the statements are false.

Analysing it, how many statements do you think are false and how many are true?

Which digit occurred maximum times between the number 1 and 1000?