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For The Mathematically Inclined

Anil Saigal
05/17/2011

PROBLEM # 1
Is 2011 a prime number?

PROBLEM #2

There are 4 cards on a table. Each has a number on one side and a letter on the other. The cards show A,B,1 and 2. Which 2 cards would you turn over to test the rule that "All cards with a vowel on one side have an even number on the other"

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

Use Problem Solutions M-052611 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 05/12/11

PROBLEM # 1
If  the base of a ladder is 5' from the wall, its top touches the wall at a height of 12'. At what height does the ladder touch the wall if the base is 6.5' from the wall?

SOLUTION 1
11.25'. 

PROBLEM #2

A hemisphere of radius 1 is made of a material whose density at a particular location  = h, the height of the location. What is the mass of the hemisphere?

SOLUTION 2
pi/4.

Congratulations to Kishore Balsara, Akshay Gowrishankar, Siddharth Hiregowdara, Prabhakar Nadkarni, Priya Prasad and Steve Snider, who were winners of the last set of puzzles.



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