Instructions

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read the question and both the statements and -
Give answer a: if the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
Give answer b: if the data in statement H alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
Give answer c: if the data either in statement I alone or in statement II alone are sufficient to answer the question.
Give answer d: if the data even in both the statements I and H together are not sufficient to answer the question.
Give answer e: if the data in both the statements I and II together are necessary to answer the question.

Question 107

Area of a rectangle is equal to the area of a right angled triangle. What is the length of the rectangle ?
I. The base of the triangle is 40 cms.
II. The height of the triangle is 50 cms.

Solution

Let length of rectangle = $$l$$ and breadth = $$b$$

From I & II : Base = 40 cm and height = 50 cm

=> Area of triangle = $$\frac{1}{2} \times 40 \times 50$$

= $$20 \times 50 = 1000 cm^2$$

Also, area of rectangle = area of triangle

=> Area of rectangle = $$l \times b = 1000 cm^2$$

But, there is no relation between length and breadth, so we cannot find length of rectangle.

Thus, even both statements together are insufficient.


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