At a party, everyone shook hands with everybody else. There
were 66 handshakes. How many people were at the party?
10
11
12
13
Answers were Sorted based on User's Feedback
Answer / chintan
Ans. 12
for 2 ppl thr is 1 hand shake
for 3 thr is 3(1+2)
for 4 thr is 6(1+2+3)
hence
12 ppl coz..sum of 1st 11 is 66...
Is This Answer Correct ? | 62 Yes | 9 No |
Answer / geeyemaar
consider n be the no of people in the party,let us give the combination for those handshakes.for that,
nc2 = 66
n(n-1)/2 = 66
n(n-1) = 132
sq(n)-n = 132
sq(n)-n-132 = 0
sq(n)-12n+11n-132 = 0
(n-12)(n+11) = 0
n = 12,-11,
taking the positive value we get the answer as 12 Handshakes
Is This Answer Correct ? | 36 Yes | 5 No |
Answer / breeze-dhanasekaran
ans is 12 persons
1'st person handshaken with 11 persons
2'nd person handshaken with 10 persons.....
same
11+10+9+8+7+6+5+4+3+2+1=66hand shacken
Is This Answer Correct ? | 9 Yes | 1 No |
Answer / loday
its a logic question...n 12 is definatly nt an answer and its not a question where u use formula...if there are 12 ppl
12th person will have 11th shakes
since the 11th person has already shaken hand whit 12th he has
already 1 shake on him...and when he shakes hand with other he will have 10 shakes and the total bcme 11 shakes...and since its a question is bout handshake...when 2 ppl shake hand both the ppl gets 1 handshake each..and plz keep in mind that its handshakes...u cant have only 1ppl getting handshake points during handshake or wise that is not a handshake...handshake is something that both ppl shake hand...12 ppl shaking hand with each other's is 132 shakes...i have seen ppl disagree but get 12 ppl and see fr urself
Is This Answer Correct ? | 4 Yes | 2 No |
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