TCS Company Logical Reasoning Letter Series

10men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa?
a) 22
b) 20
c) 10
d) none

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TCS Other Question

There is a die with 10 faces. It is not known that fair or not. 2 captains want to toss die for batting selection. What is the possible solution among the following?
a) If no. is odd it is head, if no. is even it is tail
b) If no. is odd it is tail, if no. is even it is head
c) Toss a die until all the 10 digits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head.
Metal strip of width x cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is y. If z strips are placed in that manner. What is the final width of that arrangement?