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21 people meet and shake hand. 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,...,ak such that the pairs (a1, a2), (a2, a3),...... ,(a(k-1), ak) ,(ak, a1) shake hands.

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3, 5, 15, x, 51, 53,159,161
a)17 b)34 c)54 d)112
On the planet Oz there are 8 days in a week, Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 minutes while each minute has 60 seconds. As on earth the hour hand covers the dial twice every day. Find the approximate angle between the hands of a clock on Oz when the time is 15:40 am