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UPSC Civil Services 2015 Prelims General Studies Paper II
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© examsnet.com
Question : 54
Total: 80
In a society it is customary for friends of the same sex to hug and for friends of opposite sex to shake hands when they meet. A group of friends met in a party and there were 24 handshakes.
Which one among the following numbers indicates the possible number of hugs?
39
30
21
20
Validate
Solution:
Let x be the number of women.
Let y be the number of men.
Total number of hand shakes = xy = 24
Then, the possible factors of x and y are x = 6 or 4, y = 4 or 6
Number of hugs
x
C
2
+
y
C
2
=
6
C
2
+
4
C
2
=
6
×
5
2
×
1
+
4
×
3
2
=
15
+
6
=
21
© examsnet.com
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