MBA Exam

LetF be be mini 4X4 chessboard => it has 16 fields in all. In how manyways is it possible to select two fields of F such that the midpoint ofthe segment joining the centres of the two fields should also be thecentre of a field?

1) 15
2) 18
3) 24
4) 32
5) None of these

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If f(x) = (x + 1)2 for x ≥ –1 and g(x) is the function whose graph isthe function whose graph is the reflection of the graph of f(x) withrespect to the line y = x, then g(x) equals to

1) –√x – 1, x ≥ 0
2) (x + 1)<sup>−2</sup>, x > -1
3) √x – 1, x ≥ 0
4) √x – 2, x ≥ 1
The acute angle between two lines with slopes 3 & 1/3 is ...

1) tan inverse (3/4)
2) tan inverse (1/2)
3) tan inverse (4/3)
4) 55'
5) 45'