MBA Exam

Ram takes 30 seconds to move down in a moving escalator (moving downward). He takes thrice the time to move up the same escalator. In how much time does the escalator take him down?

1) 1 min. 30 sec.
2) 45 sec.
3) 1 min. 45 sec.
4) 1 min 15 sec.

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MBA Other Question

Let Z = {1, 11, 111, 1111, ..., 11111 up to 55 times} and T be a subset of Z such that the sum of no two elements of T is divisible by 3. The maximum possible number of elements in T is

1) 18
2) 19
3) 20
4) 37
Out
of 100 schools in a town, the number of schools having a playground was
30, and all these schools had neither a library nor a laboratory. The
number of schools having a laboratory only was twice the number of those
having a library only. The number of schools having a laboratory as
well as a library was one-fourth the number of those having a laboratory
only. The number of schools having either a laboratory or a library or
both was 35.
How many schools had none of the three, viz. laboratory, library or playground?

1) 20
2) 5
3) 30
4) 35
5) 40