Out of these 100 businesspeople, what is the least possible number who have all of the above?

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One hundred business people gather at a meeting. 85 of them carry a cellular phone, 80 of them have a beeper, 75 of them speak at least two languages and 70 of them wear a suit. Therefore, a certain number of them have all of the above: a cell phone AND a beeper AND speak at least two languages AND wear a suit.
Out of these 100 businesspeople, what is the least possible number who have all of the above?

posted Oct 19, 2015

The answer may be 10.

answer Oct 19, 2015 by
answer Oct 19, 2015

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A number between 1 and 100 is written down on a piece of paper. Can you figure out the number based on these clues?
1) Its a two-digit number.
2) The second digit is greater than the first.
3) Its not a Prime number.
4) Its not a perfect square.
5) Its not divisible by 3.
6) It doesn't contain any 8's.
7) The sum of the digits is not a prime number.
8) The sum of the digits is not 8.