[Download PDF] TS ICET 2017 Paper with Solutions

Instructions

For the following questions answer them individually

Question 121

Observed from the top and foot of a tower 10 metres high the angles of elevation of the top of a second tower are $$30^\circ$$ and $$60^\circ$$ respectively. The height of the second tower (in metres)is

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Question 122

$$x + y + z \Rightarrow x^3 + y^3 + 3xyz =$$

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Question 123

How much is to be added to (x + 2)(x + 4)(x + 6)(x + 8) to make it a perfect square ?

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Question 124

f(x) is a polynomial that leaves remainders 6 and 4 respectively when divided by (x - 2) and (x - 3). The remainder of f(x) when divided by $$x^2 - 5x + 6$$ will be

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Question 125

If $$x^5 - 7x^4 + 9x^3 + 7x^2 - 10x = (x^2 - 1)g(x)$$, then one of the values of a such that g(a) = 0 is

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Question 126

$$\frac{10}{x + y} - \frac{9}{x - y} = 2; \frac{6}{x + y} + \frac{15}{x - y} = 8 \Rightarrow 2x + 3y =$$

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Question 127

$$\frac{xy}{x + y} = \frac{6}{5}, \frac{xy}{y - x} = 6 \Rightarrow (x, y) =$$

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Question 128

The sum of the integers between 1 and 200 which are divisible by both 3 and 7 is

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Question 129

The third and the fifth terms of a geometric progression are respectively the second and the eighth terms ofan arithmetic progression whosefirst term and the common difference are both equal to 16. The first term of the geometric progression is

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Question 130

If $$^{14}C_{r - 1}, ^{14}C_{r}, ^{14}C_{r + 1}$$ are in Arithmetic Progression, the possible value of r are

Video Solution

CAT Content

TS ICET 2017

Observed from the top and foot of a tower 10 metres high the angles of elevation of the top of a second tower are $$30^\circ$$ and $$60^\circ$$ respectively. The height of the second tower (in metres)is

$$x + y + z \Rightarrow x^3 + y^3 + 3xyz =$$

How much is to be added to (x + 2)(x + 4)(x + 6)(x + 8) to make it a perfect square ?

f(x) is a polynomial that leaves remainders 6 and 4 respectively when divided by (x - 2) and (x - 3). The remainder of f(x) when divided by $$x^2 - 5x + 6$$ will be

If $$x^5 - 7x^4 + 9x^3 + 7x^2 - 10x = (x^2 - 1)g(x)$$, then one of the values of a such that g(a) = 0 is

$$\frac{10}{x + y} - \frac{9}{x - y} = 2; \frac{6}{x + y} + \frac{15}{x - y} = 8 \Rightarrow 2x + 3y =$$

$$\frac{xy}{x + y} = \frac{6}{5}, \frac{xy}{y - x} = 6 \Rightarrow (x, y) =$$

The sum of the integers between 1 and 200 which are divisible by both 3 and 7 is

The third and the fifth terms of a geometric progression are respectively the second and the eighth terms ofan arithmetic progression whosefirst term and the common difference are both equal to 16. The first term of the geometric progression is

If $$^{14}C_{r - 1}, ^{14}C_{r}, ^{14}C_{r + 1}$$ are in Arithmetic Progression, the possible value of r are

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