At Amit rsquo s Birthday party there are exactly 57 persons including Amit They shake hand with each...........

Logical Reasoning(Master ) Arithmetical Reasoning

At Amit’s Birthday party, there are exactly 57 persons including Amit. They shake hand with each other. Find the total number of handshakes.

1586

1687

1632

1596

छोटे Courses बड़े Results

Master Arithmetical Reasoning

Prepare through Micro-courses

Try Now

Explanation:

1st person shakes hand with 56 persons,
2nd person shakes hand with 55 persons because he already shakes hand with the 1st person.
And 3rd person shakes hand with 54 and so on.
Therefore, total number of handshakes = 56+55+54+…….+3+2+1
= 1+2+3+…………….+54+55+56
Formula for sum of Natural numbers= n(n+1) / 2
Total number of hand shakes = Sum of 56 natural numbers= 56(56+1) / 2 = 56x57/2 = 1596