AP ICET 2012 Question Paper

Instructions

A questionis 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 11

What are the coordinates of the point M?
I. M is a point on the y-axis
II. M is a point such that MP is parallel to the Sarin, where P is (3, -4)

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Question 12

If a, b, c, d is a geometric progression what is the value of $$\frac{b}{c}$$
I. The production of a and d is 24
II. The common ratio of the geometric progression is 2

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Question 13

Does the point P (x, y) lie in the first quadrant?
I. $$x + y \geq 4$$
II. $$xy < -4$$

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Question 14

What are the values of a and b?
I. a : b = 7 : 3, b > 0
II. 2a : 6 = 6 : 11, a > 0

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Question 15

How many elements are in the set $$B = \left\{n \epsilon Z: f(n) \leq 5\right\}$$
I. $$f:Z \rightarrow Z$$ is given by $$f(n) = \mid 2n - 1 \mid$$ for $$n \epsilon Z$$
II. $$f: Z \rightarrow Z$$ is into

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Question 16

Is the set E infinite?
I. Econtains natural numbers
II. E is the set of prime divisors of 1234567

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Question 17

Is b > a?
I. x + 3 is a factor of $$x^6 - 27^b$$
II. x - 2 is a factor of $$x^2 - 4a^b$$

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Question 18

What is the value of $$\sin^4 \theta + \cosec^4 \theta$$?
I. $$\sin \theta + \cosec \theta = 2$$
II. $$sec^2 \theta = 1 + \tan^2 \theta$$

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Question 19

For integers a and b is $$\left(a^3 + b^3\right)^{\frac{1}{3}}$$ an integer?
I. $$a^3 + b^3$$ is an even integer
II. $$a^3 + b^3$$ is equal to the volume of a box with dimensions 12 cm, 18 cm and 125 cms.

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Question 20

What is the cost price of the item?
I. It is sold for ₹s at a loss of 10%
II. If it is sold for ₹(s + 50) the profit will be 5%

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