MBA Exam

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

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MBA Other Question

a person draws a card from a pack of 52, replaces it & shuffles it. he continues doing it until he draws a heart. what is the prob that he has to make 3 trials ?plz explain

1) 9/64
2) 3/64
3) 5/64
4) 1/64
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.