Gate Exam

The trapezoidal rule for integration gives exact result when the integrand is a polynomial
of degree
(a) 0 but not 1
(b) 1 but not 0
(c) 0 or 1
(d) 2

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Gate Other Question

Let f: A - B be a function, and let E and F be subsets of A. Consider the following
statements about images.
Si:f(EuF)=f(E) uf(F)
S2:f(EnF)=f(E) nf(F)
Which of the following is true about Si and S2?
(a) Only Si is correct
(b) Only S2 is correct
(c) Both Si and S2 are correct
(d) None of Si and S2 is correct The minimum number of colours required to colour the vertices of a cycle with n nodes in
such a way that no two adjacent nodes have the same colour is
(a) 2
(b) 3
(c) 4
(d) n_2[+2