AP ICET 2011

Instructions

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.

Question 11

How many brothers does A have ?
I. A’s father has four children.
II. A is the only daughter of her parents.

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Question 12

Inthe right-angled $$\triangle ABC$$ what is $$\angle A ?$$
I. $$\angle B = 30^\circ$$
II. $$\angle A + \angle C > 90^\circ$$

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Question 13

What is the perimeter of the circular sector ?
I. The angle of the sector is $$\frac{\pi}{3}$$
II. The area of the sector is $$6 \pi$$ square units.

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Question 14

Is the product a.b an irrational number?
I. a is an irrational number.
II. b is an irrational number.

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Question 15

Is the value of x unique ?
I. $$x < 0$$
II. $$x^2 = 16$$

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Question 16

Is $$x > y ?$$
I. $$5^x = 25^y$$
II. $$y = -2$$

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Question 17

What is the area of $$\triangle ABC ?$$
I. $$\angle ABC = 60^\circ$$
II. $$AB = BC = CA = 4$$

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Question 18

What is the average of a, b, c and d ?
I. a, b, c and d are primes.
II. a, b, c and d lie in {10, 11, 12, ......., 20}

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Question 19

Is $$\triangle ABC$$ right-angled ?
I. A lies on the circle with BC as a diameter.
II. A, B and C lie on a circle.

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Question 20

What is the value of V ?
I. V is the volume of a cylinder
II. The cylinder is of height h units.

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