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For The Mathematically Inclined

Anil Saigal
05/03/2016

Problem 1

The mean of following numbers is 68.  

42,52,60,x,69,70,26,81 and 94

What is the median?

Problem 2

The minute hand of a clock is twice as long as the hour hand.  At what time, between 00:00 and when the hands are next aligned (just after 01:05), is the distance between the tips of the hands increasing at its greatest rate?


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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-050516 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 04/21/16

Problem 1

A game of numbers has cards marked with 11,12,13, ...., 40.  A card is drawn at random.  What is the probability that the number on card drawn is perfect square. 

Problem 2

A plane at an altitude 1500 feet finds that two ships are sailing towards it in the same direction. The angles as observed from the plane are 45 and 30 degrees respectively. What is the distance between the two ships. 



Congratulations to Amit Lele, who was the winner  of last set of puzzles.



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