MBA Exam

Appu and Gappu both start running around a circular racetrack in the same direction, each of them going at a constant speed. Appu is on bicycle and Gappu is on foot. Appu goes all the way around the track and catches up with Gappu. The moment he meets Gappu, he turns around and heads back towards the starting point while Gappu keeps going on his path.
When Appu reaches the starting point he again meets Gappu who is just finishing his first round.
The ratio of the speeds of appu and gappu?pls post the aaproach

1) 1+root(2) : 1
2) 2:1
3) 3:1
4) 4:1
5) NOT

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MBA Other Question
‘a’ and ‘b’ are the roots of the equation 2x^2 – 7x – 10 = 0, where
a > b. If Zn = a^n – b^n for n > 0, then
find the value of 2Z6 - 10Z4/ Z5.

1) 6
2) 7
3) 12
4) 14
 There were two escalators (moving stairways) in a mall, with the same number of steps, the first one moving up and the second moving down at the same speed. Ram and Sameer walk up the first escalator at their respective uniform speeds. Ram took 2 steps in the time that Sameer took one. Ram and Sameer reached the top of the escalator after taking 30 steps and 20 steps respectively. Ram then started to walk down the second escalator. At the same time, Tarun started to walk up the second escalator at twice Ram's speed. How many steps would Tarun take before meeting Sameer?

1) 20
2) 24
3) 40
4) 48