AP ICET 25th July 2022 Shift-1

Instructions

In the following questions a question is followed by data in the fonn of two statements labelled as I and II. You have to decide whether the data given in the statement is sufficient to answer the questions.

Question 11

What is the angle A in the following figure?

I. $$C = 120^\circ$$
II. $$B = 87^\circ$$

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Question 12

What is the length of the train?
I. It crosses a pole in 10 seconds.
II. It crosses a bridge of length 100 m in 15 seconds.

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Question 13

What is the value of 'x'?
I. $$2x - 3y = 4$$
II. $$y^2 + 2y = -1$$

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Question 14

Is the set E infinite?
I. E is a set of natural nurnbers.
II. E is the set of priine divisors of 1 2 3 4 5 6 7

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Question 15

What is the integral value of 'x'?
I. $$12 < 3x - 3 < 18$$
II. $$6 < 3x - 3 < 27$$

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Question 16

What is the slope of the line L?
I. L passes through the point (1, 1).
II. L makes an angle $$45^\circ$$ with $$x - y = 0$$.

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Question 17

What is the ratio of $$5x + 3y : 10x + 2y$$?
I. $$x : y = 1 : 2$$
II. x, y are real numbers.

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Question 18

Find the volume of the right pyramid?
I. Base of the right pyramid is an equilateral triangle of side 4 cm.
II. Height of the pyramid is 8 cm.

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Question 19

A ladder is placed against a wall. At what. height above the ground does the ladder touch the wall?
I. The base of the ladder is at a distance of 10 feet from the wall.
II. The ladder makes same angle with the wall and the floor.

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Question 20

Is $$R_1$$ an equivalence relation?
I. $$R_1$$ is a relation on real numbers, R, defined by $$(a, b) \in R_1 \Leftrightarrow 2 + ab > 0$$ for all $$a, b \in R$$
II. $$R_1$$ is a symmetric relation.

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