Hi,
14 C is neither quasi-convex nor convex.
22 D is 0.696.
Rest seems fine. This paper was solved in some haste so got few wrong answers.
In 8, use a2 + b2 + c2 + 2ab + 2bc + 2ca = 1+ 2A = (a+b+c)^2 >= 0 => A>=-1/2.
In 19, cases would be (1) squares have four neighbours. (2) three neighbours and (3) two neighbours.
In 21, check that f(x1+x2) = f(x1)+f(x2) and it is homogeneous of degree 1.
Q5 is based on Chinese remainder theorem, exact solution is time consuming. Best way is to check individual options.
In Q. 21, with the following equations
f(x, y) = (x + 2y, x −y, −2x + 3y) and g(x, y) = (x + 1, y + 2), why aren't both linear transformations? Any addition, subtraction, multiplication or division can be considered as a linear operator, or am I missing something here?
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