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Given a collection of points P in the plane , a 1-set is a point in P that can be separated from the rest by a line, .i.e
the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted
by n1(P). The minimum value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e
no three points in P lie on a line) is
(a) 3 (b) 5 (c) 2 (d)7

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TCS Other Question

The thankgiving banquet at No.2, Ritcher Street, had 49 guests which consisted of 6 statesmen, 26 relatives and
their families. At the end of a banquet 19 people shake hands with other , some of which were between the
statesmen alone, some between relatives alone and some between the statesmen and relatives. How many
handshakes will there be in total?
(a)342 (b) 171 (c) 180 (d) 162
Fill dirt or fill soil is usually the sub-soil removed from an excavation side and is used to level a place or create
artificial mounds. If the average density of sub—soil removed from a site is 3gm/cu cm and it weight 400 kg.
How many hemispherical pits each of volume 240 cubic cm, can this sub-soil fill?
(a)555 (b)277 (c)556 (d)554