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Updated on: 15 Apr 2025, 02:46
Originally posted by GMATinsight on 15 Apr 2025, 02:11.
Last edited by GMATinsight on 15 Apr 2025, 02:46, edited 1 time in total.
Last edited by GMATinsight on 15 Apr 2025, 02:46, edited 1 time in total.
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Handshakes: 66
X: 12
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
71% (01:26) correct
29%
(01:58)
wrong
based on 372
sessions
History
Date
Time
Result
Not Attempted Yet
At a gathering of X friends, each person shakes hands with every other person exactly once.
From the table below, select the pair of values — the number of friends (X) and the corresponding number of handshakes — that is consistent with this information.
Source: http://www.GMATinsight.com
From the table below, select the pair of values — the number of friends (X) and the corresponding number of handshakes — that is consistent with this information.
Source: http://www.GMATinsight.com
| Handshakes | X | |
| 10 | ||
| 12 | ||
| 15 | ||
| 55 | ||
| 66 | ||
| 106 |
ShowHide Answer
Official Answer
Handshakes: 66
X: 12
ravi1522
Joined: 05 Jan 2023
Last visit: 17 May 2026
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Location: India
Concentration: General Management, General Management
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GMAT Focus 1: 595 Q80 V83 DI76 
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15 Apr 2025, 02:24
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Hello,
I am little confused with answer
as
no of hand shakes will be (X*(X-1))/2
so if friends are 12 then handshakes will be 66 how come it is reverse ?
Am i missing something ?
I am little confused with answer
as
no of hand shakes will be (X*(X-1))/2
so if friends are 12 then handshakes will be 66 how come it is reverse ?
Am i missing something ?
Archit3110
15 Apr 2025, 02:28
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12 friends when meet shake hands once with each other will result in 12c2= 66 hand shakes ..
GMATinsight sir ; please correct answer option in table X should be 12 and handshakes 66 , its coming opposite..
GMATinsight sir ; please correct answer option in table X should be 12 and handshakes 66 , its coming opposite..
