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Question
What is the maximum number of times x circles of the same size can intersect each other?
Options:
A .  2x
B .  (x - 1)
C .  x(x-1)
D .  x(x+1)/2
Answer: Option C
:
C
Deducing a Pattern:
Taking two circles. The number of points of intersection is 2 at most.
If u consider 3 circles, the number of points of intersection = 6 ( the third circles will have 4 points of intersection with the other 2 circles and those two circles will have 2 points together).
Shortcut:- Assumption & Reverse Gear:
Taking two circles. The number of points of intersection is 2 at most. From this itself, option a, b and d can be eliminated giving answer c.

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