TS ICET 2014

Instructions

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.

Question 11

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

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Question 12

What is the value of a + b ?
I. $$a \neq b$$
II. $$a^2 - b^2 - a - b$$

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Question 13

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.

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Question 14

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.

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Question 15

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.

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Question 16

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.

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Question 17

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.

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Question 18

In the figure given below, what is the value of $$\alpha + \beta + \gamma + \delta ?$$
I. $$\alpha + \beta = \gamma + \delta$$
II. $$\theta + \phi = 90^\circ$$

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Question 19

How much is $$(x + y) : (x - y) ?$$
I. x : y = 3 : 2
II. x > 0, y > 0

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Question 20

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).

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