AP ICET 2017 Shift 2 Paper

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Note:
In questions numbered 1 to 20, 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. Using the data make an appropriate choice from (1) to (4) as per the following guidelines:

Question : 2 of 200

Marks: +1, -0

Is the positive real number "a" rational?
I. The area of a rectangle is "a" sq. units.
II. The area of the circle with radius 4 cm is a square centimeters.

if the statement I alone is sufficient to answer the question.
if the statement II alone is sufficient to answer the question.
if both the statements I and II are sufficient to answer the question but neither statement alone is not sufficient.
if both the statements I and II together are not sufficient to answer the question and additional data is required.

Validate

Solution:

I.Area of a rectangle may or may not be a rational number.
e.g.

a=6√2

is irrational
a = 6 is rational.
Hence, I alone is not sufficient.
II. Area of circle

a=πr^2=16π

Since π is irrational and 16 is rational 16π is irrational.
Hence, II alone is sufficient.

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