MBA Exam

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

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MBA Other Question
SquareABCD has side length 6. Circle Q is tangent to sides AB and BC, and isexternally tangent to circle P. Circle P is tangent to sides CD and DA,and is externally tangent to circles O1 and O2. Circle O1 is tangent toside CD, circle O2 is tangent to side DA, and circles O1 and O2 areexternally tangent to each other and to circle P. If the radius ofcircle P is twice the radius of circle Q, and if circles O1 and O2 bothhave radius r, then r is (upto 2 places of decimal)

1) 0.29
2) 0.36
3) 0.47
4) 0.54
5) None of these
 333^555 + 555^333 is divisible by?

1) 2
2) 3
3) 37
4) 111
5) All of these