TS ICET 2020 Question Paper Shift-2 (30th Sep)

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

If A is a square matrix, what is det A?
(I) det 5A = 45
(II) det 10A = 360

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Question 12

How old is Rakesh now?
(I) Seven years ago. Rakesh was older than Suresh by eight years.
(II) Presently Rakesh is thrice as old as Suresh.

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Question 13

Find the cost of two benches and three chairs?
(I) The cost of 5 benches, 10 chairs is Rs. 17500.
(II) The cost of benches, 11 chairs is Rs.27500.

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Question 14

Find the value of $$\frac{x{3} + y{3}}{x + y}$$
(I) $$x = \frac{4}{y}$$
(II) $$x^{2} + y^{2} = 12$$

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Question 15

Find the volume of the cone C
(I) Height of C $$>$$ radius of C
(II) Volume of the cylinder, whose radius and height are same and C, is 300 $$cm^{3}$$.

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Question 16

What is the number of elements in the set A?
(I) Number of elements in A $$\cup$$ B is 35.
(II) Number of elements in B - A is 7
(Here B is also a set)

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Question 17

What is the value of $$\cos^{4} \theta + \sec^{4} \theta$$ ?
(I) $$\sin^{2} \theta + \cos^{2} \theta = 1$$
(II) $$\cos \theta + \sec \theta = 2$$

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Question 18

What is cost price of the article?
(I) It is sold for Rs.X at a loss of 20%.
(II) If it is sold for Rs.(X + 50) the profit would have been 10%.

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Question 19

If a set X has 22 elements and A is a subset of X, then what is the number of subsets of X that ate disjoint from A?
(I) Set A has less than 10 elements.
(II) The largest subset of X disjoint from A has 14 elements.

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Question 20

What is the value of $$y$$?
(I) $$x = 2y + z$$.
(II) $$x = (y - 1)^{3}$$ and $$x = 8$$.

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