AP ICET 2012

Instructions

For the following questions answer them individually

Question 111

The Statement $$(p \rightarrow q) \rightarrow p$$ is equivalent to

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Question 112

The contrapositive of the statement $$p \rightarrow q$$

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Question 113

If the statement "$$\frac{1}{2}$$ is rational and $$\sqrt{3}$$ is irrational" is denoted by p, then which of the following statement represents $$\sim p$$?

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Question 114

If the number of elements in the sets A, B are respectively 5, 7, then the number of relations that can be defined from A to B is.

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Question 115

If $$f: R \rightarrow R$$ is a function satisfying the condition $$2f(x) - 3f \left(\frac{1}{x}\right) = x^2$$ for any $$x \neq 0$$, then f(3) =

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Question 116

If a set A has 8 elements, then the number of subsets of A having atmost 4 elements is

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Question 117

If a straight line is passing through the points (3, 3) and (7, 6), then the length of the portion of the line intercepted between the coordinate axes is

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Question 118

The equation of a straightline whose slope is 1 and X-intercept is 4, is

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Question 119

The foot of the perpendicular of the point (1, 2) on the line 3x + 4y = 1 is

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Question 120

$$\cos 208^\circ \sin 238^\circ + \sin 152^\circ \cos 122^\circ =$$

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