MBA Exam

I-bots has developed a highly advanced prototype of robots. A major flaw in these robots is that they dismantle each other when they are together. Unaware of this fact, a new scientist in the organization places 6 of these robots together in a room and goes out for some work. The robots choose one amongst themselves to be dismantled first and all the robots simultaneously dismantle the chosen robot and then proceed to choose another one from the remaining and continue this way. In how much time will there only be one robot in working condition if a robot can dismantle another robot in two hours?

1) 4 hours
2) 3 hours 52 minutes
3) 3 hours 42 minutes
4) 4 hours 34 minutes

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MBA Other Question

A shop sells two kinds of rolls- egg roll and mutton roll. Onion, tomato, carrot, chilli sauce and tomato sauce are the additional ingredients. You can have any combination of additional ingredients, or have standard rolls without any additional ingredients subject to the following constraints:(a) You can have tomato sauce if you have an egg roll, but not if you have a mutton roll.(b) If you have onion or tomato or both you can have chilli sauce, but not otherwise.How many different rolls can be ordered according to these rules?

1) 21
2) 33
3) 36
4) 40
5) 42
1/a + 1/b + 1/c = 1, it is also given that a, b and c are positive integers; such that a ≤ b ≤ c, then which of the following can not be the sum of a,b and c of any solution?

1) 9
2) 10
3) 11
4) 12