AP ICET 2011

Instructions

For the following questions answer them individually

Question 111

If $$x^4 - 8x^3 + 18x^2 - 8x + 1 = 0$$, then the value of $$x + \frac{1}{x}$$ is

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Question 112

Among the following $$(p \rightarrow q) \rightarrow \sim p$$ is equivalent to

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Question 113

If a set A has 3 elements and another set B has 5 elements, then the number of relations from A to B is

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Question 114

If A = {4, 5, 6, 7, 8, 9}, B = {1, 2, 3, 4, 5, 6} and C = {2, 4, 6, 8}, then $$A - (B \cap C) =$$

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Question 115

Among the following, the converse of $$p \rightarrow (q \rightarrow r)$$ is equivalent to

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Question 116

If a set A has 4 elements and another set B has 2 elements, then the number of functions from A into B that are not surjections is

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Question 117

If $$f(x) = 12x^3 - 8x^2 + 4x - 1$$ then $$f(-2) + f(2) + f(-1) + f(1) =$$

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Question 118

$$\cos 1^\circ . \cos 2^\circ . \cos 3^\circ ....... \cos 179^\circ = $$

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Question 119

If a set A has 7 elements, then the number of subsets of A having exactly one element in each is

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Question 120

$$\tan 170^\circ + \tan 55^\circ + \tan 170^\circ . \tan 55^\circ = $$

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