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23 Oct 2021, 06:53
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
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Question Stats:
52% (01:27) correct
48%
(01:26)
wrong
based on 237
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In a room of 12 people, each person shook hands with exactly 3 other people. How many handshakes took place?
A) 18
B) 36
C) 55
D) 110
E) 220
A) 18
B) 36
C) 55
D) 110
E) 220
Correct Option A
12 * 3 = 36 (counted 2 times)
36/2 = 18 Nos (single time)
12 * 3 = 36 (counted 2 times)
36/2 = 18 Nos (single time)
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23 Oct 2021, 07:58
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IMO Option A.
Since if every person shook hands with every other person total handshakes would be 66. But if every person shook hands with only 3 person. This number will be less.
In order to meet the above condition, lets divide people in groups of 4. There will be 3 such groups. Now we can satisfy the limitation of 3 handshakes.
Per group there will be 6 hand shakes. So, total handshakes will be 3*6 = 18
Since if every person shook hands with every other person total handshakes would be 66. But if every person shook hands with only 3 person. This number will be less.
In order to meet the above condition, lets divide people in groups of 4. There will be 3 such groups. Now we can satisfy the limitation of 3 handshakes.
Per group there will be 6 hand shakes. So, total handshakes will be 3*6 = 18
