Question

What is the maximum number of times x circles of the same size can intersect each other?

• A. 2x
• B. (x - 1)
• C. x(x-1)
• D. x(x+1)/2

Answer 1

The correct option is C x(x-1)

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.