MBA Exam

Let f(x) = ax^2 + bx + c where a, b and c are constants. If the maximum of f(x) occurs at x = 1/3, then which of the following is necessarily equal to f(0)?

1) f(2/3)
2) f(-2/3)
3) -f(2/3)
4) -f(-2/3)

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MBA Other Question
n^2 has 11 factors less than n. In how many ways can n^3 can be written as a product of 2 distinct no.

1) 8
2) 16
3) 17
4) 33
 The number 1234567890123456789012...890 is 4000 digits long. First you remove all the digits in the odd number of places starting at the leftmost places. Next you remove the digits in the odd number of places in the remaining 2000 digits. You perform the same operation until only one digit remains. What digit is last to be removed?

1) 2
2) 4
3) 6
4) 8