TS ICET 2021 Question Paper Shift-2 (19th Aug)

Instructions

For the following questions answer them individually

TS ICET 2021 Shift-2 (19th Aug) - Question 121


If the top of a 15 meter high tower makes an angle of depression of $$60^{circ}$$ with the bottom of an electric pole and an angle of depression of $$30^{circ}$$ with the top of the pole, then the height (in meters) of that electric pole is

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TS ICET 2021 Shift-2 (19th Aug) - Question 122


$$\sqrt{(x^{2} - 2x - 15)(x^{2} - 5x - 24)(x^{2} - 13x + 40)}$$

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TS ICET 2021 Shift-2 (19th Aug) - Question 123


If $$\left(3a-\frac{1}{b}\right)^{2}-8\left(3a-\frac{1}{b}\right)+16+\left(c+\frac{1}{b}-2a\right)\left(3a-\frac{1}{b}-4\right)=0$$, then

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TS ICET 2021 Shift-2 (19th Aug) - Question 124


A polynomial in $$x$$ leaves remainder -1 and 7, when it is divided by $$(x+ 1)$$ and $$(x - 3)$$ respectively. If the same polynomial is divided by $$x^{2} - 2x - 3$$ then the remainder is

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TS ICET 2021 Shift-2 (19th Aug) - Question 125


If the remainder when the polynomial $$7x^{3} - 8x^{2} + 9x - 10$$ is divided by $$x^{2} - x - 2$$ is $$ax + b$$, then a + b =

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TS ICET 2021 Shift-2 (19th Aug) - Question 126


A person has Rs.10 and Rs.20 notes in his purse. Total number of notes is 37. Total amount is Rs.510. Then the difference between the number of Rs.10 notes and Rs.20 notes is

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TS ICET 2021 Shift-2 (19th Aug) - Question 127


Five pens and six pencils cost Rs.28. Six pens and five pencils cost Rs.27. Now the cost (in Rupees) of each pen and each pencil respectively?

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TS ICET 2021 Shift-2 (19th Aug) - Question 128


The sum of all natural numbers between 1 and 100 which are multiples of 3 is

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TS ICET 2021 Shift-2 (19th Aug) - Question 129


If the $$5^{th}$$ term of a Geometric Progression is 7, then the product of the first 9 terms is

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TS ICET 2021 Shift-2 (19th Aug) - Question 130


If $$C_{0}, C_{1}, C_{2}, ... C_{n}$$, are binominal co-efficients of $$(1+x)^{n}=$$ then $$C_{0} - C_{1} + C_{2} + ... + C_{n}(-1)^{n}$$

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