Question

In a party there are 5 men in total such that each person shakes hand with every other person in the party.

Question:3 ) 

Find the minimum number of handshakes are to be made such that above condition holds true.

A)    3B)    15C)    6D)    10


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Answer 1

Answer:

D. 10

Think so...

Hope it helps...

Answer 2

For such questions try to imagine 3 points on a piece of paper. If you had 3 points how many lines do you have to draw to connect each point with the other two?

Simple! 3 (draw a triangle). In the same way if you had 4 points you would need to draw 6 lines (draw a square and both it's diagonals, you will find all points are connected)

It now becomes easier to memorize the formula governing this kind of problem which is

A = n*(n-1)/2

Where n is the number of points or in this case the number of people and A is the number of lines drawn to interconnect all the points or in this case the number of handshakes.

So your answer is 10.

Hope you will be able to solve similar problems with even higher number of points.