TS ICET 23rd May 2019 Shift-1

Instructions

In questions numbered 1 to 20, a question is followed by data in the form of two statements labeled as I and II. You must decide whetherthe data given in the statements are sufficient to answer the questions. Using the data make an appropriate choice from(1) to (4) as perthe following guidelines:

Question 1

Howmany teachers teach Physics?
I. There are 11 teachers who teach Mathematics or Physics
II. Of these 11 teachers 7 teach Mathematics and 3 teach both Mathematics and Physics

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Question 2

Is the line PQ parallel to X-axis?
I. Coordinates of P are (4, 5)
II. Coordinates of Q are (2, 3)

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Question 3

Whatis sumofinterior angles of the polygon?
I. Polygonis a closed figure
II. The polygonhas7 sides

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Question 4

For integers a and b is $$(a^3 + b^3)^{\frac{1}{3}}$$ an integer?
I. $$a^3 + b^3$$ is an even integer
II. $$a^3 + b^3$$ is equal to the volume of a box with dimensions 12cm, 18cm and 125cm

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Question 5

ABC Dissquare inscribed in a circle. What is the area of the square?
I. Radius of that circle is 1 unit
II. The centerofthat circle is (0. 0)

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Question 6

Amongthe five rivers $$R_1, R_2, R_3, R_4 and R_5$$ whichoneis the short river?
I. $$R_3$$ is the longest river and $$R_1$$ shorter than $$R_2$$ but longer than $$R_3$$.
II. $$R_4$$ is a little shorter than $$R_2$$ and a little longer than $$R_1$$.

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Question 7

Is the positive integer 7 a multiple of 175?
I. 125 divides n
II. 35 divides n

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Question 8

Whatis the integral value of x ?
I. 10 < x < 20
II. 10 < 9 x + 1 < 20

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Question 9

Is N divisible by 48?
I. $$N = (a - 4)((a -3)(a - 2)(a - 1), a \geq 5$$
II. N is divisible by 8 and 6

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Question 10

Are x and y rational numbers?
I. x + yis a rational number
II. x y is a rational number

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