MBA Exam

Help me solve this:
If an unbiased coin is tossed four times, then the probability that the same face doesnot show up in any two consecutive trails is :

1) 1/16
2) 1/8
3) 3/8
4) 0
5) 7/8

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MBA Other Question

Within a rectangular courtyard of length 60 feet, a graveled path, 3 feet wide, is laid down along all the four sides. The cost of graveling the path is Rs 2 per sqft. If the path had been twice as wide, the gravek would have cost Rs 984 more. The width of the courtyard is : (Please explain also! I'm making some mistake at one of the steps..)

1) 24
2) 40
3) 45
4) 54
The sum of n terms of an arithmetic progression, starting with 11th term is directly proportional to n^2. The sum of two terms of the arithmetic progression is 0. Which of the following cant be either of these two terms?

1) 5th
2) 11th
3) 21th
4) 16th