self Maths Puzzle Logical Reasoning Logical Sequences

36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is
" 11
" 18
" 12
" 13

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self Other Question

In a hotel we can order two types of varities, but we can make 6 more variteis in home. One can choose the four varities with two from hotel as must. Find how many ways one can order.
a) 14 b) 15 c) 56 d) 28
There was a grandmother in a village who had a grandchild. Upon asking her grandchild's age she told dat she is as older as many days old as her daughter's age in weeks and as many days as her own age in years. The sum of the three is 130. then how old is the child?