GRE Exam Programming Functions

Let f be a real function defined by f(x) = ax^2+b. Which of the following is true if f(1) = 2 and f(2) = 5? Indicate all correct options. [x^2=x*x]
A. a = 2
B. b = -1
C. a = b
D. b = 1
E. a < b

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GRE Other Question

If the product of three numbers in GP is 27 and the sum of their product in pairs is 39, then which of the following are the numbers? Indicate all correct options.
A. 1
B. 2
C. 4
D. 3
E. 9
A circular logo is enlarged to fit the lid of a jar. The new diameter is 50 per cent larger than the original. By what percentage has the area of the logo increased?