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For The Mathematically Inclined

Anil Saigal
03/14/2017

Problem 1:

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

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 Ss exist
 
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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-031617 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 03/02/17

Problem 1:
What number should come next?
7, 10, 8, 11, 9, 12, ...

Problem 2:
What number should come next?
 8, 6, 9, 23, 87,...



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