AP ICET 2017
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:
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.
Is the product of the integers a. b and c equals to 1?
I. $$a > 0, b > 0, c > 0$$
II. $$a + b + c = 3$$
Whatis the value of $$\frac{a^2}{b^2} + \frac{b^2}{c^2}$$?
I. $$a = 2c$$
II. $$\frac{a}{b} + \frac{b}{c} = 8$$
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".
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.
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.
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. $$b^n = 81.$$
With reference to the given figure, what is the value of c + d?
I. $$b + f = 80$$
II. $$a + b = 110$$
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. $$-3 < x < y$$
