TCS Company Programming Arrays

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

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TCS Other Question
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 A toy train produces at least 10 different tunes when it moves around a circular toy track of radius 5 meters, at
10 meters per minute. However, the toy train is defective and it now produces only two different tunes at
random. What is the probability that the toy train produces 3 music tunes of the same type (1 in _____ ) ?
(a) 3 (b) 9 (c) 8 (d) 4