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33 people {a1, a2,....,a33} meet and shake hands in a circular fashion. In other words, there are totally 33 handshakes involving the pairs, {a1,a2}, {a2,a3},..,{a32, a33}, {a33, a1}. Then the size of the smallest set of people such that the rest have shaken hands with at least one person in the set is
(a) 10
(b) 11
(c) 16
(d) 12

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TCS Other Question

Samita was making a cube with dimensions 5*5*5 using 1*1*1 cubes. What is the number of cubes needed to make a hollow cube looking of the same shape? If we are painting only 2 face of each cube then how many faces will remain unpaint???
All the capital letters of the English alphabet from A to Z followed by the lower case letters from A to Z are placed one in each slot, in 52 slots around a circle in clockwise direction. All the slots are counted in the clockwise direction starting with the slot containing A, and the letter in every fifth slot is removed. How many more slots will have letters left in them immediately after M is removed from its slot?
[1] 13
[2] 14
[3] 16
[4] 12