TS ICET 2014
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 the matrix $$A = \begin{bmatrix}-5 & 20 \\2 & -x \end{bmatrix}$$, what is the value of x ?
I. A is singular
II. A is symmetric
Is the quadrilateral a square ?
I. All the sides of the quadrilateral are of equal length.
II. The diagonals of the quadrilateral area 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. C's monthly salary is ₹ 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 of $$\alpha + \beta + \gamma + \delta ?$$
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 a factor of p(x).
