Latest M4maths Aptitude Question SOLUTION: 5 people {a1, a2, ..., a5} are invited to a party. The host and the hostess shake hands with each invitee and also with each other. The invitees shake hands in a circular fashion,

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(#M40153626) M4MATHS question Keep an EYE

5 people {a1, a2, ..., a5} are invited to a party. The host and the hostess shake hands with each invitee and also with each other. The invitees shake hands in a circular fashion, i.e. the pairs {a1, a2}, {a2, a3}, ..., {a4, a5}, {a5, a1} shake hands. So, in all there are 16 handshakes. Let S be a set of people such that every pair in S shake hands. The size of S is at most

Asked In M4maths nidhi kumari (8 years ago)

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Pappu Yadaw  (8 years ago)

ans: 11
sol: no. of handshakes = no.of people in a group
total handshakes = 16
5 hand shakes are given
so left no. of hand shakes =16 - 5 = 11
therefore no. of people in s group is = 11

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Pappu Yadaw  (8 years ago)

ans : 2
no.of handshakes in circular fashion for a group = no. of person in that group : (condition when person is more than 2)
total handshakes = 16
1st group (group of 5 people) handshakes = 5
left no. of handshakes = 16 - 5 = 11
suppose: x person in group 's'
case 1 : when no. of person in group > 2
total no. of handshakes b/w two group is = 5 * x
and hand shake in same group is = x
so, 5*x + x = 11
6*x = 11
here x is fraction (impossible )
so , no. of person in 's' group is

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