Why is a river so rich ?

Can you find the least possible number such that

If the number is divided by 3, it gives the remainder of 1;
If the number is divided by 4, it gives the remainder of 2;
If the number is divided by 5, it gives the remainder of 3;
If the number is divided by 6, it gives the remainder of 4.

I am sure no one can have two things for dinner. what are they?

You Are Highly Attentive If You Can Spot A Hat In This Bathroom In 9 Seconds!

By including only four matchsticks in below picture, you have to make "Four Triangles And Two Squares"

In the picture, you can see a chess board. On the top left position, the K marks a knight. Now, can you move the knight in a manner that after 63 moves, the knight has been placed at all the squares exactly once excluding the starting square?

Can you find the mistake in the below statement?

When monkey rotate the gear, which mark will be hit 1 or 2 ?

Why is 6 afraid of 7?

During a secret mission, an agent gave the following code to the higher authorities
AIM DUE OAT TIE MOD

However, the information is in one word only and the rest are fake. To assist the authorities in understanding better, he also sent them a clue, If I tell you any one character of the code, you can easily find out the number of vowels in the codeword.

Can you find out the code word?