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17 Jul 2017, 02:53
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
55% (01:38) correct
45%
(01:42)
wrong
based on 240
sessions
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There are 8 different circles. What is the greatest number of the possible points that the circles intersect?
A. 48
B. 56
C. 64
D. 70
E. 80
A. 48
B. 56
C. 64
D. 70
E. 80
Updated on: 18 Jul 2017, 10:45
Originally posted by amanvermagmat on 17 Jul 2017, 03:05.
Last edited by amanvermagmat on 18 Jul 2017, 10:45, edited 1 time in total.
Last edited by amanvermagmat on 18 Jul 2017, 10:45, edited 1 time in total.
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Well, if we take 2 different circles - then the MAX possible points of their intersection are '2'.
In case of 'n' circles, the greatest number of points of intersection will be available in the case where Every 2 circles intersect in 2 distinct points. So first we will find out how many sets of two circles can be selected from 8:
8C2 = 8*7/2 = 28
So 28 distinct pairs of circles can be selected MAX from 8 distinct circles, and if every pair gives us 2 distinct points, then max points of intersection = 28*2 = 56
Hence B answer
In case of 'n' circles, the greatest number of points of intersection will be available in the case where Every 2 circles intersect in 2 distinct points. So first we will find out how many sets of two circles can be selected from 8:
8C2 = 8*7/2 = 28
So 28 distinct pairs of circles can be selected MAX from 8 distinct circles, and if every pair gives us 2 distinct points, then max points of intersection = 28*2 = 56
Hence B answer
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