[Download PDF] TS ICET 2021 Question Paper Shift-1 (20th Aug) Paper with Solutions

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 1

Find the values of x and y.
I) $$2x + 3y = -2$$
II) $$-x - \frac{3y}{2} = 1$$

Video Solution

Question 2

What is the value of $$\cos^{2} \theta - \sin^{2} \theta$$?
I) $$\sin^{2} \theta = \frac{7}{25}$$
II) $$\theta$$ lies in first quadrant

Video Solution

Question 3

A is a non-empty set and R,S are two relations defined on A. Is R $$\cap$$ S a reflexive relation?
I) R and S are reflexive relations
II) R is symmetric relation

Video Solution

Question 4

R is a relation defined on A, where A is the set {a,b,c,d,e}.
Is R symmetric?
I) $$R \subseteq A \times A$$
II) $$R = \left\{(x,y) \mid x \ is \ vowel \ and \ y = e \right\}$$

Video Solution

Question 5

How many colors have been used to paint the outer surface of the cube?
I) Each face of the cube is painted using only one color, and no two adjacent faces have the same color.
II) At least two pairs of opposite faces have the same color.

Video Solution

Question 6

Is 5 a root of the poly1101nial $$p(x)$$?
I) $$p\left(p\left(p(7)\right)\right) \neq 0$$
II) $$p(7) = 21$$ and $$p(21) = 5$$

Video Solution

Question 7

What is the value of the positive two digit number?
I) The number is six times the sum of its digits.
II) The number obtained by reversing the digits is less than the original number by nine.

Video Solution

Question 8

What will be the population in the city A in 2025?
I) In 2020 the population of the city A was 10 million.
II) In 2015 the population of the city A was much less than that of 2020.

Video Solution

Question 9

If a and b are two digit numbers that share the same digits except in reverse order, then what is the sum of a and b ?
I) a - b = 45
II) The difference between the two digits in each number is 5

Video Solution

Question 10

Is $$\frac{1}{a_{1}},\frac{1}{a_{2}},\frac{1}{a_{3}} ...$$ a Geometric Progression?
I) $$a_{1},a_{2},a_{3}$$.....is an Arithmetic Progression.
II) $$a_{1},a_{2},a_{3}$$.....is a Geometic Progression..

Video Solution

CAT Content

TS ICET 2021 Question Paper Shift-1 (20th Aug)

TS ICET 2021 Question Paper Shift-1 (20th Aug)

Find the values of x and y.I) $$2x + 3y = -2$$II) $$-x - \frac{3y}{2} = 1$$

What is the value of $$\cos^{2} \theta - \sin^{2} \theta$$?I) $$\sin^{2} \theta = \frac{7}{25}$$II) $$\theta$$ lies in first quadrant

A is a non-empty set and R,S are two relations defined on A. Is R $$\cap$$ S a reflexive relation?I) R and S are reflexive relationsII) R is symmetric relation

R is a relation defined on A, where A is the set {a,b,c,d,e}. Is R symmetric?I) $$R \subseteq A \times A$$II) $$R = \left\{(x,y) \mid x \ is \ vowel \ and \ y = e \right\}$$

How many colors have been used to paint the outer surface of the cube?I) Each face of the cube is painted using only one color, and no two adjacent faces have the same color.II) At least two pairs of opposite faces have the same color.

Is 5 a root of the poly1101nial $$p(x)$$?I) $$p\left(p\left(p(7)\right)\right) \neq 0$$II) $$p(7) = 21$$ and $$p(21) = 5$$

What is the value of the positive two digit number?I) The number is six times the sum of its digits.II) The number obtained by reversing the digits is less than the original number by nine.

What will be the population in the city A in 2025?I) In 2020 the population of the city A was 10 million.II) In 2015 the population of the city A was much less than that of 2020.

If a and b are two digit numbers that share the same digits except in reverse order, then what is the sum of a and b ?I) a - b = 45II) The difference between the two digits in each number is 5

Is $$\frac{1}{a_{1}},\frac{1}{a_{2}},\frac{1}{a_{3}} ...$$ a Geometric Progression?I) $$a_{1},a_{2},a_{3}$$.....is an Arithmetic Progression.II) $$a_{1},a_{2},a_{3}$$.....is a Geometic Progression..

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Find the values of x and y.
I) $$2x + 3y = -2$$
II) $$-x - \frac{3y}{2} = 1$$

What is the value of $$\cos^{2} \theta - \sin^{2} \theta$$?
I) $$\sin^{2} \theta = \frac{7}{25}$$
II) $$\theta$$ lies in first quadrant

A is a non-empty set and R,S are two relations defined on A. Is R $$\cap$$ S a reflexive relation?
I) R and S are reflexive relations
II) R is symmetric relation

R is a relation defined on A, where A is the set {a,b,c,d,e}.
Is R symmetric?
I) $$R \subseteq A \times A$$
II) $$R = \left\{(x,y) \mid x \ is \ vowel \ and \ y = e \right\}$$

How many colors have been used to paint the outer surface of the cube?
I) Each face of the cube is painted using only one color, and no two adjacent faces have the same color.
II) At least two pairs of opposite faces have the same color.

Is 5 a root of the poly1101nial $$p(x)$$?
I) $$p\left(p\left(p(7)\right)\right) \neq 0$$
II) $$p(7) = 21$$ and $$p(21) = 5$$

What is the value of the positive two digit number?
I) The number is six times the sum of its digits.
II) The number obtained by reversing the digits is less than the original number by nine.

What will be the population in the city A in 2025?
I) In 2020 the population of the city A was 10 million.
II) In 2015 the population of the city A was much less than that of 2020.

If a and b are two digit numbers that share the same digits except in reverse order, then what is the sum of a and b ?
I) a - b = 45
II) The difference between the two digits in each number is 5

Is $$\frac{1}{a_{1}},\frac{1}{a_{2}},\frac{1}{a_{3}} ...$$ a Geometric Progression?
I) $$a_{1},a_{2},a_{3}$$.....is an Arithmetic Progression.
II) $$a_{1},a_{2},a_{3}$$.....is a Geometic Progression..