MBA Exam

Which of the following statements about the functionsA(x, y, z) = xÂ² + 3yÂ² - 4xy - 2yz + 2zx and B(x,y,z) = |x-|x-y|| + |y-|y-z|| + |z-|z-x|| is necessarily true?

1) B(x,y,z) <= |x-y| + |y-z| + |z-x|
2) (B(x,y,z))<sup>2</sup> > A(x,y,z) for x > y > z > 0
3) A(x,y,z) > -6
4) None of the above

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MBA Other Question

x/9 remainder is 1. how many solutions are possible for x if x lies in the interval [100,200]

1) 13
2) 14
3) 15
4) none of these
At the start of a weekend a player has won 50% of the matches he has played. At the end of the week after playing another 10 matches, 9 of which he wins, he has won more than 51% of his matches. What is the largest number of matches he could have played till the end of weekend?

1) 378
2) 287
3) 216
4) 185