TS ICET 2020 Question Paper Shift-1 (30th Sep)

Instructions

For the following questions answer them individually

Question 121

Two boys A and B are opposite side of a tower of height 150mts. They measure the angle of elevation of top of the tower as $$30^{\circ}$$ and $$60^{\circ}$$. Then the distance between the boys (in mts)

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Question 122

If $$(x) = x^{2} + 6x + K_{1}$$ and $$g(x) = x^{2} + 5x + K_{2}$$ have common factor $$x - a =$$ then a =

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Question 123

The number of solutions of the equation
$$\sqrt{x^{2} - x + 1} + \frac{1}{\sqrt{x^{2} - x + 1}} = 2 -x^{2}$$

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Question 124

The remainder when $$21^{875}$$ is divided by 17 is

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Question 125

If $$x^{2} + 6x - k = 0$$ has distinct real roots, then k lies in the interval

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Question 126

If $$\frac{xy}{x+y}=\frac{35}{12}$$ and $$\frac{xy}{y-x} = \frac{35}{2}$$, then $$(x, y)=$$

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Question 127

The sum of at two digit number n and the number formed by reversing its digits is 99. When 5 is added to n then it becomes 5 less than 6 times the sum of digits of n. Then the number n is

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Question 128

A machine cost Rs.875000. If the value of the machine depreciates 15% of its cost in the first year, $$13\frac{1}{2}\%$$ of it cost in the second year, $$12\%$$ of its cost in the third year and so on, then its value at the end of 10 years is (in rupees)

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Question 129

If AM and GM of the two numbers are 34 and 16 respectively, the numbers are

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Question 130

If the $$21^{st}$$ and $$22^{nd}$$ terms in the expansion of $$(1 + x)^{44}$$ are equal, then $$x$$ =

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