About Us Contact Us Help


Archives

Contribute

 

For The Mathematically Inclined

Anil Saigal
05/25/2010

PROBLEM # 1
Teacher:     You appeared for quizzes in 10 subjects, and your average marks in them were 79.
Student:     How did I fare in English?
Teacher:     Well, your average in English Language and English Literature is 43.
Student:     So, how was my performance in the remaining subjects?
Teacher:     I am sure you can figure that out for yourself.

Can you help the student find his average marks in the remaining subjects?

PROBLEM #2
A large water tank has two inlet pipes (a large one and a small one) and one outlet pipe. It takes 3 hours to fill the tank with the large inlet pipe. On the other hand, it takes 5 hours to fill the tank with the small inlet pipe. The outlet pipe allows the full tank to be emptied in 8 hours.

What fraction of the tank (initially empty) will be filled in 2.45 hours if all three pipes are in operation? Give your answer to two decimal places (e.g., 0.25, 0.5, or 0.75).

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

Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-052710 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 05/13/10

PROBLEM # 1

Priya purchased a house for $ 175247. She wants to sell it for a profit of exactly 13%. However, she does not want to sell it herself. She wants a Real Estate Agent to sell it for her. The Agent must make a commission of exactly 5.7% (in addition to Priya's 13% profit). How much must the Agent sell the house for? Give your answer to the nearest dollar.

SOLUTION

$210,000.

PROBLEM #2

In Figure 1, the rectangle at the corner measures 5 cm x 10 cm. What is the radius of the circle in cm?

SOLUTION

25 cm.


Congratulations to 
Kishore Balsara, Lalit Doshi, Sophia Farooqui, Suhas Joglekar, Arun Lahori and Bhaath Venkataraman, who were winners of the last set of puzzles.



Bookmark and Share |

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





Figure 1

Home | About Us | Contact Us | Copyrights Help