Each of the following questions is followed by two statements 1 If either of the statements I or II ...........

Math and Mental Ability Data Sufficiency

Each of the following questions is followed by two statements.

1.If either of the statements I or II alone but not the other is sufficient to answer the question.

2.If both the statements I or II alone are sufficient to answer the question.

3.If questions can be answered with the help of both statements together, but not with the help of either statement alone.

4.If question cannot be answered unless more information is provided.

What is the area of

I. an equilateral triangle of side 7 cm.

II a right angled triangle circumscribed by a circle of radius 5 cm.

Correct option:1

Solution:

The question is to find out area

Statement I gives information about an equilateral triangle with a side of 7 cm.

The area of an equilateral triangle can be calculated using the formula: \( \frac{\sqrt{3}}{4} \times \text{side}^2 \).

Statement 1 is sufficient to find the area.

Statement II is about a right-angled triangle circumscribed by a circle with a radius of 5 cm.

A right-angled triangle circumscribed by a circle implies the hypotenuse is the diameter.

This allows us to find side lengths with the Pythagorean theorem and calculate the area.

Statement is sufficient to find the area.

Hence either of the statements I or II alone but not the other is sufficient to answer the question.

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