Look at this sequence from top to bottom. What is the next number in the sequence?
1
11
21
1211
111221
312211

Manish and Manoj play 5 games of chess.
Both Manish and Manoj win the exact same number of games. There is no tie at all.

How?

In the addition below, all digits have been replaced by letters. Equal letters represent equal digits and different letters represent different digits.
ABCABA
BBDCAA
ABEABB
ABDBAA
------- +
AAFGBDH
What does the complete addition look like in digits?

Why are all black people so quick ?

A finger goes in me. You fiddle with me when you're bored. The best man always has me first. What am I?

As you can see in the picture, you have a hole with dimensions 9 ft x 2 ft Also available is a wooden board with dimensions 6 ft x 3 ft Now you have to cover the hole with this board and you are allowed to cut the board into two pieces. Please see that the hole is completely covered and the boards should not overlap or extend beyond the edge. How will you cut the board?

Can you arrange the six given marbles in a manner that each one of them is touching all four marbles of different colours?

What is the four-digit number in which the first digit is one-third the second, the third is the sum of the first two, and the last is three times the second?

It is an eleven letter word.
The first, second, third and fourth letters form a banquet's name.
The fifth, sixth and seventh letters form a car's name.
The eighth, ninth, tenth and eleventh letters form a mode of transport.

Can you identify what word it is?

Can you find the largest Three-digit number whose sum is 14 and whose square is less than 5,00,000?