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Data Interpretation Question on Statements and Inferences

If the length of a rectangle is increased by 5 cm and the breadth is decreased by 5 cm, area of the rectangle remained same. What are the dimensions of the given rectangle?
Statement 1: If the length is decreased by 12 cm and the breadth increased by 8 cm, even then the area is unaltered
Statement 2: Breadth of the rectangle is 4 less than twice its length
Directions: This question has a problem and two statements numbered (1) and (2) giving certain information. You have to decide if the information given in the statements is sufficient for answering the problem. Indicate your answer

A

statement (1) alone is sufficient to answer the question

B

statement (2) alone is sufficient to answer the question

C

both the statements together are needed to answer the question

D

either statement (1) alone or statement (2) alone is sufficient to answer the question

E

neither statement (1) nor statement (2) suffices to answer the question

Answer

either statement (1) alone or statement (2) alone is sufficient to answer the question

Explanation

Solution

The correct answer is option (D): either statement (1) alone or statement (2) alone is sufficient to answer the question