MBA Exam

A parking lot has 16 spaces in a row. Twelve cars arrive, each of which requires one parking space, and their drivers chose spaces at random from among the available spaces. Batman then arrives in his Batmobile (his car), which requires 2 adjacent spaces. What is the probability that he is able to park?

1) 137/280
2) 143/280
3) 11/28
4) 17/28
5) None of the above

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MBA Other Question

A string of certain length is cut at random at 4points. Find the probability that the 5 pieces that result, can be the 5 sides of a pentagon

1) I do not have OA, please post approach.....
If a^2 = b^3 = c^5 = d^6, then log(base)d (abc) =

1) 28/9
2) 31/5
3) 34/5
4) None of these
5) maaf kar bhai