In 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. Using the data make an appropriate choice from (a) to (d) as per the following guidelines :
In the matrix $$A = \begin{bmatrix}-5 & 20 \\2 & x \end{bmatrix}$$, what is the value of the x?
I. A is singular.
II. A is symmetric.
Is the quadniateral a square ?
I. All the sides of the quadrilateral are of equal length.
II. The diagonals of the quadrilateral are of equal length.
For positve integers x, y and z, is the product xyz even ?
I. x + y is odd.
II. x + y + z is divisible by 7.
What is the monthly salary of A ?
I. A gets 15% more than B and B gets 10% less than C.
II. Cās monthly salary is ā¹ 2,500,
Among the real numbers a and b, is b a rational number ?
I. a + b is a rational number.
II. a - b is a rational number.
How many persons are there in the library ?
I. If 3 persons leave the library, then the library has less than 8 persons.
II. If 3 persons enter the library, then it has more than 12 persons.
In the figure given below, what is the value $$\alpha + \beta + \gamma + \delta$$?
I. $$\alpha + \beta = \gamma + \delta$$
II. $$\theta + \phi = 90^\circ$$
If p(x) is a polynomial, is (x - 2) a factor of $$p(2x^2 - 1)$$?
I. x = 1 is a factor of p(x).
II. x - 7 is factor of p(x).