PROBLEM # 1
When asked about his birthday, a man said: "The day before yesterday I was only 25 and next year I will turn 28." This is true only one day in a year - when was he born?

PROBLEM #2
What 5-digit number has the following features:  If we put the numeral 1 at the beginning, we get a number three times smaller than if we put the numeral 1 at the end of the number.

Please send your solutions to mr.asaigal@gmail.com.

Use Problem Solutions M-021711 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani.

Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com.

If you need clarification on any problem, please contact anil@lokvani.com.

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Problems from 02/03/11

PROBLEM # 1
One out of 27 otherwise identical balls is overweight. How can it be identified after 3 weighings?

SOLUTION 1
Take set of 9 balls. Then take set of 3 balls. Then take set of 1 ball.
 

PROBLEM #2
Town A and town B are 99 km apart. There are 98 km posts between them. On each post is the distance to A and the distance to B. On how many posts are only 2 different digits used? (for example, the post that says 'A 33, B 66' only uses 2 digits).

SOLUTION 2
18.

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