For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
11/28/2012

PROBLEM #1

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.

PROBLEM #2

A pearl necklace has 33 pearls with the largest and most valuable in the middle. Starting from one end, each successive pearl is worth $100 more than the one before (up to the middle one), but starting from the other end each pearl is worth $150 more than the one before, up to the big pearl. The whole necklace is worth $65 000.

What is the value of the middle pearl?

----------------------------------------------------------------------------------------------------------

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

Use Problem Solutions M-120612 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.

-------------------------------------------------------------------------------------------------------------

Problems from 11/22/12

PROBLEM #1
When I add 6 times my age 6 years from now to 7 times my age 7 years from now, I get 14 times my current age. How old will I be 2 years from now?

SOLUTION 1
87 years.

PROBLEM #2
A large water tank has two inlet pipes (a large one and a small one) and one outlet pipe. It takes 2 hours to fill the tank with the large inlet pipe. On the other hand, it takes 4 hours to fill the tank with the small inlet pipe. The outlet pipe allows the full tank to be emptied in 6 hours.What fraction of the tank (initially empty) will be filled in 1.29 hours if all three pipes are in operation?

SOLUTION 1
~3/4.

Congratulations to Kishore Balsara, Abhimanyu Bhargava and Suraj Srinivasan, who were the winners of the last set of puzzles.

You may also access this article through our web-site http://www.lokvani.com/