Can you find a number that lies one third of the distance between 1/3 and 2/3?

An infinite number of mathematicians are standing behind a bar. The first asks the barman for half a pint of beer, the second for a quarter pint, the third an eighth, and so on. How many pints of beer will the barman need to fulfill all mathematicians' wishes?

The day after tomorrow will be three days before Tuesday. Can you find out what is today?

Two batsman each on 94 runs. Seven runs needed to win in last 3 balls. Both make 100*. How?

What will be the best approach to finding all the prime numbers less than 75 that leave an odd reminder when we divide them with 5?

Without looking at a calendar, within a minute name, a boy's name using 5 consecutive 1st letters of 5 consecutive months

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.

Which tank will fill first?

Can you solve the below geography rebus by decoding the below rebus ?

You need to remove two matchsticks to make the below equation true. Can you do it ?