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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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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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