AP ICET 2018 Question Paper Shift-1 (2nd May)

Instructions

In the following questions each question is followed bydata in the form of two statements labeled 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

Is the triangle with sides a, b and c equilateral?
I. $$a^2 = b^2 + c^2$$
II. $$a < b + c$$

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Question 12

How much amount is needed to fence the circularfield?
I. The radius of the field is half of its diameter.
II. The diameter of the field is 200 mts and the cost of fencing is Rs. 10 per meter.

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Question 13

In a triangle $$ABC, \angle B = 90^\circ$$. Then what is $$AB : BC : CA ?$$

I. $$\tan C = \frac{1}{2}$$

II. $$\sin^2 A + \cos^2 A = 1$$

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Question 14

What is the length of the train?
I. The train crosses a man standing onthe platformin 15 seconds.
II. The train crosses its own length in 25 seconds.

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Question 15

What is the slope of the line l in the xy - plane?
I. l passes through origin.
II. l passes through (1, 4)

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Question 16

What is the area of the triangle whose sides are a, b and C?
I. a + b = 14
II. b + c = 18

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Question 17

In how many days a piece of work can be completed by three men A, B and C?
I. Individually A and B can do the same amount of work in a day.
II. C can do double the amount of work than that of A.

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Question 18

What is the product of divisors of the natural number n?
I. $$d_1, d_2, ......... d_k$$ are all the positive divisors of n
II. n > 2

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Question 19

For real numbers x and y what is the value of x + 2y?
I. x > 0, y > 0
II. $$x^2 + 4y^2 + 4xy = 0$$

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Question 20

What is the ratio of the length to the diagonal of a rectangle whose dimensions are a and b?
I. $$4a^2 + 9b^2 = 12 ab$$
II. a > 0, b > 0

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