TS ICET 20th August 2021 Shift-1

Instructions

For the following questions answer them individually

Question 111

The statement $$p \wedge(\sim q)\rightarrow$$ p is a _____

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Question 112

Consider the following statement,
p: A is good at mathematics
q: A is good at English
for the statement p $$\rightarrow$$ q, the statement
'A is good in mathematics and A is not good in English" is

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Question 113

In a town of 840 persons, 450 persons read Hindi newspaper, 300 read English newspaper and 200 both. Then the number of persons who read neither Hindi nor English news paper is

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Question 114

If a set A has 4 elements, and the number of binary relations on A which are anti symmetric is $$2^{\alpha} \times 3^{\beta}$$, then $$\alpha + \beta = $$

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Question 115

Let $$f : R \rightarrow R$$ be defined as $$f(x) =3x^{2} - 7$$ for all $$x \epsilon R$$ then f is

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Question 116

A line makes intercept -3 from on the y-axis and has slope is $$\frac{3}{5}$$. Then, its equation is

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Question 117

The points $$(p + 1, 1), (2p + 1, 3)$$ and $$(2p + 2, 2p)$$ lie on the same straight line only if $$p =$$

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Question 118

If $$\tan \alpha = \cot \beta = 1$$ and $$\alpha, \beta$$ are both acute angles, then the value of $$2\alpha + \beta$$
is

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Question 119

If $$13 \sin \theta = 12$$ and $$\theta$$ acute, then $$\frac{cosec \theta + \cot \theta}{\tan \theta + \sec \theta} =$$

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Question 120

$$\frac{1+\sin \theta + \cos \theta}{1+\sin \theta - \cos \theta} =$$

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