AP ICET 2015

Instructions

In questions a 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. Using the data make an appropriate choice from (a) to (d) as per the following guidelines :

Question 11

At how many points do the two circles intersect ?
I. The radii of the two circles are equal.
II. The distance between their centres is 12 cms.

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Question 12

What is the share of A in a profit of ₹ 1,500 in that year ?
I. A’s capital is ₹ 5,000 more than that of B.
II. A and B are the only partners in the business.

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Question 13

For two sets A and B, what is $$n(A \cap B)$$ ?
I. n(A) = 6 and n(B - A) = 8
II. n(A - B) = 8 = n(B - A) and $$n(A \cup B) = 24$$

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Question 14

If ‘a’ is a positive integer, is it a prime number ?
I. It is odd number,
II. It is an even integer greater than 2.

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Question 15

If x and y are real numbers, what is the value of xy?
I. x + y = 16
II. $$x^2 + y^2 = 160$$

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Question 16

What is the value of $$\sin (2 \theta)$$ ?
I. $$tan \theta + \cot \theta = 3$$
II. $$(\cosec \theta + \cot \theta)(\cosec \theta - \cot \theta) = 1$$

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Question 17

What is the sum of the first 20 terms of the Anthmetic Progression ?
I. The sum of the first term and $$20^{th}$$ term of the AP is 120.
II. The common difference of the AP is 5.

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Question 18

What is the surface area of the cuboid ?
I. Ratio of its length to its breadth is 2 : 5.
II. Volume of the cuboid is 100 cu. units.

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Question 19

If ‘a’ is an integer, what is the value of a ?
I. $$a^2 = 9$$
II. $$a^2 + a = 6$$

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Question 20

If a and b are real numbers, is $$a^2 > b^2$$
I. a > b
II. a > 0

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