TS ICET 2018 Shift 2

Instructions

The question is followed by data in the form of two statements labelled as I and II. You must decide whether the data given in the Statements are sufficient to answer the questions.

Question 1

What is the area of the circle P?
I. Diameter of circle Q = 6 cm
II. Radius of the circle Q is twice the radius of circle P

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Question 2

What is the value of xy?
I. $$x^2 = 4$$
II. $$y^2 = 9$$

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Question 3

Is x positive?
I. $$xy = 6$$
II. $$xy^2 = 12$$

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Question 4

What is the value of $$r^2 + s$$?
I. $$t - u = 8$$
II. $$r^2t - su + st - r^2u = 24$$

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Question 5

If p and q are positive real number, is the product of pq > 1?
I. q > 1
II. P < 1

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Question 6

When n and m are real numbers, what is the value of n?
I. 3n - m = 1
II. n + m = 23

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Question 7

What is the value of $$\frac{2p + 3q}{3p + 2q}?$$
I. $$\frac{p}{q} = \frac{2}{5}$$
II. p and q are positive numbers

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Question 8

Is ab = cd?
I. a : b = c : d
II. a, b, c, d are in an arithmetic progression

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Question 9

For the function $$f : R \rightarrow R$$, is $$f\left(-\frac{1}{2}\right) = f\left(\frac{1}{2}\right) = f(2) ?$$
I. $$f(x) = \begin{cases}-x & for & x < 0\\x & for & x \geq 0\end{cases}$$
II. $$f(x) = \begin{cases}-x & for & x < 0\\x & for & 0 \leq x \leq 1\\\frac{1}{x} & for & x > 1\end{cases}$$

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Question 10

What is the surface area of the rectangular solid Y ?
I. The dimensions of one face of Y are 2 and 3.
II. The volume of Y is 12.

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