Problem 1

The price of a commodity, which is currently at $100, goes up to $101 in a day. The next day the price comes back to $100. The percentage and dollar returns for the commodity are:

 a) same
 b) different
 c) same depending on how you compute the returns
 d) the percentage return is half of the dollar return;

Explain your answer.

Problem 2

A apple at temperature 38F is removed from the fridge and kept in a room at temperature 68F and allowed to warm according to the equation:

where, is a constant term, is the temperature of the pizza and is the temperature of the surrounding (room). If it takes two hours for the apple to reach a temperature of 60F then how much longer will it take for its temperature to reach 65F?

a)   1.513 hours
b)   2.881 hours
c)   3.483 hours
d)   None of the above

Problem 3

A apple whose diameter (the length of the pizza from end to end) is 10 inches is consumed by 3 persons. What should be the diameter of the pizza that would be consumed by 10 persons?

a) 8.95 inches
b) 12.56 inches
c) 15.27 inches
d) none of the above

( Hint : you can assume the pizza to be perfectly circular in shape and the area of the pizza should be equal to the number of people that are consuming it )

Problem 4

A butterfly flapping its wings over the amazon basin can, in theory, cause a tornado in Florida. This simple sentence mathematically implied:

a) a non-linear system (governed by a non-linear equation) exhibits a singularity
    around the origin;
b) the outcome of a non-linear system (governed by a non-linear equation)
     depends strongly on the initial conditions of the system;
c) every non-linear system (governed by a non-linear equation) can be reduced
     to a linear system given the equation of a straight line;
d) None of the above;

Problem 5

The output of two computer programs called ROT 1 and ROT 3 are given by a sequence of nine letters:

ROT 1: f   g   h   i   j   k   l   m   n  

ROT 3: h   i   j   k   l   m   n   o   p

What would be the output of the program ROT 7.

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