TS ICET 2018 Shift 2

Instructions

The 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

Is ab a rational number?
I. a is a rational number.
II. b is an irrational number.

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Question 12

If the perimeter of a rectangular hall is 80 feet, whatis its area?
I. The length of the hall is 25 feet.
II. The length of the hall is greater than its width.

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Question 13

What is the value of the integer $$x \geq 0 ?$$
I. $$16^x$$ is odd
II. $$15^x$$ is odd

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Question 14

Is $$x > y ?$$
I. $$2x + y = 9$$
II. $$\mid x - y \mid = 25$$

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Question 15

In the figure, is $$\overline{AB} = \overline{AC} ?$$
I. x + y = z
II. y = 180 - z

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Question 16

For $$a, b \epsilon R$$, if the number of positive integral divisors of the positive integer 4 ab is 3, then what is the value of b?
I. a = 5
II. a is a prime number.

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Question 17

What is the integer a?
I. $$\frac{1}{7} < \frac{1}{2 + a} \leq \frac{1}{2}$$
II. $$a^2 + 24 = 10a$$

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Question 18

How old is Raghu?
I. Today is his birth day.
II. One year after he will be twice as old as 10 years ago.

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Question 19

What is the value of the integer w?
I. w is a multiple of 3.
II. 420 < w < 425.

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Question 20

What percentage of students in the college receive scholarships?
I. The total number of students in the college is 2000.
II. The percentage of students that receive scholarships in the final year is 5% more than the students that receive scholarships in the first year.

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