Find a 9-digit number, which you will gradually round off starting with units, then tenth, hundred etc., until you get to the last numeral, which you do not round off. The rounding alternates (up, down, up ...). After rounding off 8 times, the final number is 500000000. The original number is commensurable by 6 and 7, all the numbers from 1 to 9 are used, and after rounding four times the sum of the not-rounded numerals equals 24.

Sachin bought a car with a strange 5 digit numbered plate.The water image of the number is 78633 more than my car number. All the digits of car number are distinct.

What is the original number on number plate?

Only one color, but not one size,
Stuck at the bottom, yet easily flies.
Present in sun, but not in rain,
Doing no harm, and feeling no pain.
What is it?

You see a boat filled with people, yet there isn’t a single person on board. How is that possible?

What is the largest amount of money that you can possess in change and still if someone asks you for a dollar, you won't be able to give?

Why is the Hole below a Lock?

Can you identify the direction in which this bus is moving; left or right?

Hint: The bus is moving on the roads of London.

Take away my first letter, then take away my second letter. Then take away the rest of my letters, yet I remain the same. What am I?

Find the next number in the series?
2, 12, 36, 80, 150, 252, 392, _ ?

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?