  # 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. 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 Question 13

# Is $$\frac{n}{18}$$ an integer ?I. $$6 \mid n$$II. $$9 \mid n$$ Question 14

# Is $$\triangle ABC$$ scalene?I. $$AB \neq BC$$II. $$\angle BAC \neq \angle BCA$$ 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. Question 16

# Is the quadrilateral ABCD a rectangle ?I. AB = CD, AD = BCII. AC = BD 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 $$180^\circ$$ 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. Question 19

# Are the roots of $$ax^2 + bx + c = 0 (a \neq 0)$$ real ?I. 4a + b = 0II. c = 5a Question 20

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