MBA Exam

Page and Plant are running on a track AB of length 10 metres. They start running simultaneously from the ends A and B respectively. The moment they reach either of the ends, they turn around and continue running. Page and Plant run with constant speeds of 2m/s and 5m/s respectively. How far from A (in metres) are they, when they meet for the 23rd time?

1) 0
2) 10
3) 40/7
4) 60/7

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MBA Other Question
If 27p2q3r = 28 where p, q and r are positive real numbers, then find the minimum value of (p + q + r)?

1) 12
2) 5
3) 9
4) 4
5) 3
 A fourth degree equation in x with rational coefficients has two pairs of equal roots. If one of the roots is 3-√5 , then what can be the possible equation?:

1) x4 – 4x3 + 36x2 – 48x + 16 = 0
2) x4 – 12x3 + 44x2 – 48x + 16 = 0
3) x4 – 8x3 + 36x2 – 36x + 16 = 0
4) Can’t be determined