CAT Exam

Let f(x) = x^3 + p*x^2 + q*x + r, where p, q and r are natural numbers. If f(0) and f(–1) are both odd, then which of the
following is/are definitely true?

I. f(x) = 0 cannot have any integer roots.
II. f(x) = 0 has three distinct integer roots.
III.Roots of f(x) = 0 are imaginary.

A) Only II B ) I and III C) Only I D) Only III

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CAT Other Question

find the 2nd last digit of 48^300 Kamesh is taller than Raj but not as tall as Somesh. Somesh is shorter than Rajeev who is not as tall as subhash. Who is the tallest in the group