Find the Next Number in the Sequence

2 9 3 1 8 4 3 6 5 7 ?

Using four sevens (7) and a one (1) create the number 100. Except for the five numerals, you can use the usual mathematical operations (+, -, x, :), root and brackets ()

For this puzzle, you might have to find logic in something illogical. But hey, it's fun and a healthy little break from your strenuous puzzle-solving sessions.

Can you decipher the meaning in the following cluster of letters?

ITIT,NCENTCENT

Can you move 2 matchsticks to form four equal sized squares.

Solve The below Equation:

ALFA + BETA + GAMA = DELTA

There are two candles. Both will only burn exactly for an hour. How will you use these two candles to measure forty-five minutes?

If there are fifteen crows on a fence and the farmer shoots a third of them, how many crows are left?

You have to put a letter on the following to make it a meaningful word. The only challenge is that you can't use 'E'.

S E Q U E N C _

15 caves are arranged in a circle at the temple of doom. One of these caves has the treasure of gems and wealth. Each day the treasure keepers can move the treasure to an adjacent cave or can keep it in the same cave. Every day two treasure seekers visit the place and have enough time to enter any two caves of their choice.

How do the treasure seekers ensure that they find the treasure in the minimum number of possible days?

Can you make a fire with just a single stick?