After every get-together every person present shakes the hand of every other person. If there were 105 handshakes in all, how many persons were present in the party?

A. 16

B. 15

C. 13

D. 14

Answer: Option B

Solution(By Examveda Team)

Let total number of persons present in the party be x,
$$\eqalign{ & \frac{{x \times \left( {x - 1} \right)}}{2} = 105 \cr & x = 15 \cr} $$

This Question Belongs to Arithmetic Ability >> Permutation And Combination

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Comments ( 1 )

  1. Prashant Kumbhar
    Prashant Kumbhar :
    7 years ago

    I can't understand

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