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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.
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.
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 $$x + 2$$
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%
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
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
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. $$A + B + C = \pi$$
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
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
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
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