In the following questions, 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.
In which quadrant the angle $$\theta$$ lies ?
I) $$\tan \frac{\theta}{2} + \cot \frac{\theta}{2} = -3$$
II) $$\sec \theta > 1$$
If the median of the set S is 19, what is the range of S?
I) S={18, 28, 11, $$x$$, 15, y }
II) Arithmetic mean of the elements of S is 20
$$x$$ and y are integers, $$x$$ is even and y is odd. Is the integer z odd?
I) $$xyz + 1$$ is odd
II) $$xy + yz + zx$$ is even
What is the area of the square?
I) The ratio of the length of a diagonal and the length of a side is $$\sqrt{2} : 1$$
II) The area of the circumcircle of the square is $$18 \pi cm^{2}$$
Is the square matrix A non singular ?
I) A is a 3$$\times$$3 matrix
II) The elements of A are distinct positive integers
What is the length of the rectangle R ?
I) Area of the rectangle R is 1200 sq. ft.
II) The cost of fencing the plot R along the side is Rs.56000 at the rate of Rs.400 per foot.
A, B, C, D are points on the circumference of a circle. What is the area of quadrilateral ABCD?
I) Radius of the circle is $$\frac{\sqrt{2}}{2}$$
II) ABCD is a square