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

Instructions

For the following questions answer them individually

TS ICET 2021 Shift-1 (20th Aug) - Question 121


Seen from the top of a tower 100 meters tall the angles of depression of two points A and B on the ground which are on the opposite sides of the tower are $$30^{\circ}$$ and $$60^{\circ}$$ respectively. The distance AB in meters is:

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TS ICET 2021 Shift-1 (20th Aug) - Question 122


If a polynominal in $$x$$ leaves remainder -2 and 19 when divided by $$(x + 3)$$ and $$(x - 4)$$ then the remainder it leaves when it is divided by $$x^{2} - x -12$$ is

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TS ICET 2021 Shift-1 (20th Aug) - Question 123


The roots of the equation $$\sqrt{6} x^{2} - 5x + \sqrt{6} = 0$$ are

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TS ICET 2021 Shift-1 (20th Aug) - Question 124


If $$(x - 5)$$ is a factor of the polynominal $$p(x)$$, then a factor of the polynomial $$p(x^{3} - 3)$$ is

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TS ICET 2021 Shift-1 (20th Aug) - Question 125


A number when divided by 5, leaves 3 as remainder. When the square of that number is divided by 5, then the remainder will be

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TS ICET 2021 Shift-1 (20th Aug) - Question 126


Three pens and four pencils cost Rs.18. Four pens and three pencils cost Rs.17. Then, the cost of 14 pens and 14 pencils (in rupees) is

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TS ICET 2021 Shift-1 (20th Aug) - Question 127


If $$\mid x - 2\mid + \mid x - 3\mid < 4$$, then the range of $$x$$ is

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TS ICET 2021 Shift-1 (20th Aug) - Question 128


The sum of n terms of a progression is $$S_{n} = 5n^{2} + 2n$$. Then, the $$n^{th}$$ term $$t_{n}$$?

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TS ICET 2021 Shift-1 (20th Aug) - Question 129


If the $$5^{th}$$ and $$9^{th}$$ terms of a Geometric Progression are $$\frac{1}{9}$$ and $$\frac{1}{729}$$, then the first term of that Geometric Progression is

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TS ICET 2021 Shift-1 (20th Aug) - Question 130


The coefficient of $$x^{7}$$ in the binomial expansion of $$\left(x^{3} - \frac{2}{x^{2}}\right)^{5}$$ is

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