Instructions

In the following questions each 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 1

What is the perimeter of the rectangle?

I. The area of the rectangle is 168 cm$$^2$$

II. Length of a diagonal is 25 cm.

Question 2

What is the remainder when the polynomial $$P(x)$$ is divided by $$x - 5$$?

I. The remainder is $$x + 3$$ when $$P(x)$$ is divided by $$x^2 - 3x - 10$$

II. The remainder is 1 when $$P(x)$$ is divided by $$x + 2$$

Question 3

What is the cost price of each pen?

I. If 4 pens are old for Rs. 244, then the percentage of profit is 22

II. 4 pens are sold at a profit of 18%

Question 4

What is the number of elements in the set $$A \cup B$$?

I. Number of elements in $$A \cap B = 5$$

II. Number of elements of B which are not in A is 17

Question 5

What is the number of sides of a regular polygon?

I. The sum of the angles subtended by the sides of the polygon at the centre is $$2 \pi$$ radians

II. The number of diagonals of the polygon is 35

Question 6

If A, B, C are the angles and a, b, c are lengths of the sides opposites to them respectively, then, is the triangle ABC equilateral?

I. $$\frac{a}{\cos A} = \frac{b}{\cos B} = \frac{c}{\cos C}$$

II. $$A + B + C = \pi$$

Question 7

What is the rate of compound interest?

I. Interest for the first two year's is Rs. 3801

II. Interest for the second year alone is Rs. 1991

Question 8

What is the area of the path around a rectangular field?

I. Rectangular field has area 190 m$$^2$$

II. The width of the path is 2m

Question 10

What is the first term of the Geometric Progression?

I. Product of $$3^{rd}$$ and $$7^{th}$$ terms is 6400

II. $$5^{th}$$ term is 80