AP ICET 2018 Question Paper Shift-2 (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 integer p a prime number?
I. 2p has exactly 3 factors
II. p is an even number

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Question 12

Is $$\mid 15 - m \mid + \mid m - 15 \mid > 15 ?$$
I. $$m > 6$$
II. $$m < 7$$

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Question 13

For a positive real number x, is $$x^3 = 125?$$
I. $$x > 4$$
II. $$x < 6$$

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Question 14

What is the area of the rectangle ABCD?
I. The circumference of the rectangle is 24 cm.
II. The sides of the rectangle are in the ratio 1 : 2

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Question 15

What is the cost of each table?
I. 2 tables and 2 chairs cost Rs 10,000/-
II. 3 chairs and 3 tables cost Rs 15,000/-

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Question 16

What is the two digit number xy?
I. xy is a multiple of 97
II. x + y = 6

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Question 17

TA and TB are tangents to a circle from an external point T. Whatis the length of the chord AB?
I. Radius of the circle is 6 cm
II. AT = 8 cm

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Question 18

What is the sum of the two integers a and b?
I. LCM of {a, b} = 576
II. HCF {a, b} = 4

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Question 19

What is the value of $$\theta$$?

I. The matrix $$\begin{bmatrix}\tan \theta & 1 \\1 & 1 \end{bmatrix}$$

II.  $$0 < \theta < \frac{\pi}{2}$$

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Question 20

For three non empty sets A, B and C, what is $$n(A \cup B \cup C)$$?
I. $$n(A \cup B) = 64$$
II. $$n(B \cup C) = 124$$

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