TS ICET 20th August 2021 Shift-1

Instructions

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.

Question 11

What are the values of x, y and z ?
I) $$x : y : z = 1 : 2 : 5$$
II) $$x + y + z = 64$$

Video Solution

Question 12

In which quadrant the angle $$\theta$$ lies ?
I) $$\tan \frac{\theta}{2} + \cot \frac{\theta}{2} = -3$$
II) $$\sec \theta > 1$$

Video Solution

Question 13

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

Video Solution

Question 14

Who is the tallest person among a, b, c ?
I) a is taller than c
II) c is shorter than b

Video Solution

Question 15

$$x$$ 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

Video Solution

Question 16

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 $$18 \pi cm^{2}$$

Video Solution

Question 17

Is the square matrix A non singular ?
I) A is a 3$$\times$$3 matrix
II) The elements of A are distinct positive integers

Video Solution

Question 18

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.

Video Solution

Question 19

If $$If x \neq 0$$, is $$\frac{1}{x} > 1$$
I) $$\frac{x}{y} > y$$
II) $$x^{3} > x^{2}$$

Video Solution

Question 20

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

Video Solution

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TS ICET 20th August 2021 Shift-1

What are the values of x, y and z ?I) $$x : y : z = 1 : 2 : 5$$ II) $$x + y + z = 64$$

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

Who is the tallest person among a, b, c ?I) a is taller than cII) c is shorter than b

$$x$$ and y are integers, $$x$$ is even and y is odd. Is the integer z odd?I) $$xyz + 1$$ is oddII) $$xy + yz + zx$$ 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 matrixII) 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.

If $$If x \neq 0$$, is $$\frac{1}{x} > 1$$I) $$\frac{x}{y} > y$$II) $$x^{3} > x^{2}$$

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

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What are the values of x, y and z ?
I) $$x : y : z = 1 : 2 : 5$$
II) $$x + y + z = 64$$

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

Who is the tallest person among a, b, c ?
I) a is taller than c
II) c is shorter than b

$$x$$ 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.

If $$If x \neq 0$$, is $$\frac{1}{x} > 1$$
I) $$\frac{x}{y} > y$$
II) $$x^{3} > x^{2}$$

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