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A lady took out jacket and gloves, which are available in blue 26,yellow 30 and red 56. Power goes off, she can distinguish between gloves and jacket but not in colors. What is the possibility that she will pick up pair of gloves of each color?

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TCS Other Question

given a collection of points P in a 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 others lie on other side. the no. of 1-set of P is denoted by n1(P). the maximum value of n1(P) over all configurations P of 10 points in the plane is?
a) 5
b) 3
c) 9
d) 10
Susan made a block with small cubes of 8 cubic cm volume to make a block ,3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block?
option
a) 114
b) 135
c) 21
d) 71