AP ICET 2017 Question Paper

Instructions

In questions numbered 1 to 20. a question is followed by data in the form of two statements labelled as I and Il. 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

If a is the average of the numbers 1. 2, 3 and x. then what is the value of a?
I. $$x = \frac{1}{2}(6a - x)$$
II. x is an integer.

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Question 12

Is the product of the integers a. b and c equals to 1?
I. $$a > 0, b > 0, c > 0$$
II. $$a + b + c = 3$$

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Question 13

Whatis the value of $$\frac{a^2}{b^2} + \frac{b^2}{c^2}$$?
I. $$a = 2c$$
II. $$\frac{a}{b} + \frac{b}{c} = 8$$

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Question 14

How many cylinders each with a radius 2" and height 6” can fit into the rectangular box?
I. The volume of the box is 230 cubic inches.
II. The length of the box is 3".

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Question 15

In the diagram given. $$\angle ABC = 90^\circ$$. Then what is the value of z?
I.The value of y is three times the value of z.
II.The value of x is half that of z.

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Question 16

A.B and C are digits between 0 and 9 inclusive. Then what is the value of B?


II.
A = 1

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Question 17

If a, b. c and d are integers. is the sum ab + cd an odd integer?
I.a and c are both even integers.
II.b is an even integer and d is an odd integer.

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Question 18

If $$a, b, m$$ and $$n$$ are distinct positive integers such that $$a^m = b^n$$, then what is the value of $$a + b + m + n$$
I. Each of $$a, b, m$$ and $$n$$ is less than 10.
II. $$b^n = 81.$$

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Question 19

With reference to the given figure, what is the value of c + d?
I. $$b + f = 80$$
II. $$a + b = 110$$

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Question 20

If $$x$$ and $$y$$ are both integers and their product $$xy < 0$$. what is the difference between $$x$$ and $$y$$?
I. $$x + y = 2$$
II. $$-3 < x < y$$

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