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For The Mathematically Inclined

Anil Saigal
05/17/2012

PROBLEM # 1
What is the single digit sum of the digits of 99?


(example: for 211 = 2048, sum = 2+0+4+8 = 14, sum = 1+4 = 5)

PROBLEM # 2
12 black mice and 1 white mouse are in a ring. Where should a cat start so that if he eats every 13th mouse the white mouse will be last?

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

Use Problem Solutions M-052412 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 05/10/12

PROBLEM #1
A freight train and an express train leave towns 390 km apart, traveling toward one another. The freight train travels 30 km per hr slower than the express train. They pass another 3 hr. later. What are their speeds!

SOLUTION 1
50 and 80 kph.

PROBLEM #2
What is the sum of 1 -0.5 +0.25 -0.125 +0.0625 ......?

SOLUTION 2
2/3.

Congratulations to Anindya Basu, Kishore Balsara, Prabhakar Nadkarni, Priya Linson, Suhas Joglekar and Suhas Pathak, who were the winner of the last set of puzzles.



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