TCS Company Numerical Ability Arithmetic

14 people meet and shake hands . The maximum number of handshakes possible if there is to be no “ cycle” of handshakes is ( A cycle of handshakes is a sequence of people a1,a2,a3……ak k>2) such that pairs {a1,a2}……{ak,a1} shake hands)
Option
a) 11
b) 12
c) 10
d) 13

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TCS Other Question

There are 10 points on a straight line AB and 8 on another straight line AC none of them being point A. how many triangles can be formed with these points as vertices?
Option
a. 680
b. 720
c. 816
d. 640

Arjun mother kept a box of chocolates in the refrigerator .Arjun put up a daily plan of how many chocolates he would consume in the week. He represented that as diminishing stock as 60, 48,38,28,24,20,18.Mother said that his plan would be approved , Provided he corrected one of the figures to make it a proper series .Which one did Arjun Correct?