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For The Mathematically Inclined

Anil Saigal
04/13/2017

Problem 1:

What is the angle between the long (minutes) and short (hours) hands when the time is 10:10?

Problem 2:
How many times during a day is the angle between the long (minutes) and short (hours) hands equal to ninety degrees?
(Ignore the order of the hands)
 
 
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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-041317 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 03/30/17

Problem 1:
Which point is the reflection of the point (-7, 5) over the line y = -x?

Solution
(-5,7).

Problem 2:
Line Q has the equation 5y - 3x = 45.  If Line S is perpendicular to Q, has an integer for its y-intercept, and intersects Q in the second quadrant, then how many possible Line S's exist.

Solution:
35.

Congratulations to Ramachandran Balakrishna, who was the winner of the last set of puzzles.



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