Replace the letters of words with a number so that the below equation holds true

BASE +
BALL
---------
GAMES
----------

What is next number in the pattern below:

131 517 192 123 ?

A convention is held where all the big logicians are summoned. The master places a band on everyone's forehead. Now all of them can see others bands but can't see his own. Then they are told that there are different colours of bands. All the logicians sit in circle and they are further explained that a bell will ring at regular intervals. The moment when a logician knew the colour of band on his forehead, he will leave at the next bell. If anyone leaves at the wrong bell, he will be disqualified.

The master assures the logicians that the puzzle will not be impossible for anyone of them. How will the logicians manage ?

A girl rode into a tourist spot out of the city on Thursday. She loved the place and decided to stay for a few days. She stayed for four days and then she left for back home on Thursday.

How can this be possible?

If you drop me I’m sure to crack, but give me a smile and I’ll always smile back. What am I?

1 + 9 + 8 = ?
considering, 28 + 8 + 92 = 10

If you paint a brown house white it will become a white house. If the stoplight changes from red to green, then the light is green. So, if you throw a white shirt into the Red Sea, what will it become?

Given that

(78)^9 = 6
And (69)^4 = 11

Can you find out

(99)^2 =?

(Note: This is Logical, not Mathematical)

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

What English word has three consecutive double letters?