TS ICET 2015

Instructions

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

What is $$x_1 + x_2 + x_3 + x_4 + x_5 ?$$
I. $$x_3 = 20$$
II. $$x_1, x_2, x_3, x_4, x_5$$ are in arithmetic progression.

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Question 12

What is the average of a -3, b + 4, c - 5 and 6?
I. a, b, c are positive integers.
II. a + b + c = 100

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Question 13

Is $$\frac{n}{18}$$ an integer ?
I. $$6 \mid n$$
II. $$9 \mid n$$

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Question 14

Is $$\triangle ABC$$ scalene?
I. $$AB \neq BC$$
II. $$\angle BAC \neq \angle BCA$$

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Question 15

With how many zeroes does the number a = 16 ! end ?
I. $$5^3 \mid a. 5^4 \mid a$$
II. a is an even number.

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Question 16

Is the quadrilateral ABCD a rectangle ?
I. AB = CD, AD = BC
II. AC = BD

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Question 17

If P, A, B are three points on a circle, what is $$\angle APB ?$$
I. AB is the diameter of the circle.
II. The sum of the angles of $$\triangle APB$$ is $$180^\circ$$

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Question 18

Is the number n divisible by 2 ?
I. The sum of the digits is divisible by 2.
II. The digit in the units place is divisible by 2.

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Question 19

Are the roots of $$ax^2 + bx + c = 0 (a \neq 0)$$ real ?
I. 4a + b = 0
II. c = 5a

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Question 20

What is the area of the rectangle ABCD ?
I. E is the midpoint of AB
II. Area of the $$\triangle CDE$$ is 50 $$cm^2$$

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