Question

What is the area of a square ABCD ?
Statement I. The perimeter of the square is 16 cm.
Statement II. The difference between the length of side CD and the sum of the lengths of side AB and CD is 4 cms.

• A. If the data in statement I alone are sufficient to answer the question,while the data in statement II alone not sufficient to answer the question;
• B. If the data in statement II alone are sufficient to answer the question,while the data in statement I all are not sufficient to answer the question;
• C. If the data either in statement I alone or in statement II alone are sufficient to answer the question;
• D. If the data even in both statements I and II together are not sufficient to answer the question;
• E. If the data in both statements I and II together are necessary to answer the question.

Answer 1

The correct option is C If the data either in statement I alone or in statement II alone are sufficient to answer the question;

Both the statements are independently sufficient.

As Statement I gives the side of the square, since side of a square=perimeter/4( perimeter=4*a) .

Again, statement II gives information about the length of the side AB. If we have information about the length of the side of a square.

We can easily find the area of the square by squaring the side( area=a*a).

Hence the data either in statement I alone or in statement II alone are sufficient to answer the question.

Hence option C is correct.