TS ICET 2021 Question Paper Shift-1 (20th Aug)

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

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

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

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 $$\alpha + \beta = $$

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

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

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

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

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

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