Multiple choice

Directions: The problem below consists of a question and two statements numbered I and II. Decide whether the data provided in the statements is sufficient to answer the question. Mark the answer as: (1) if the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question (2) if the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question (3) if the data either in statement I alone or in statement II alone is sufficient to answer the question (4) if the data in both statements I and II together is required to answer the question What will be the area of the rectangular plot in sq. metres? I. The length of that plot is 5/3 times its breadth. II. The length of a diagonal of that plot is 30 metres.

  1. (1)

  2. (2)

  3. (3)

  4. (4)
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

To find the area of a rectangle, you need length and breadth. Statement I gives the ratio L = 5/3*B. Statement II gives the diagonal sqrt(L^2 + B^2) = 30. Together, these allow solving for L and B, and thus the area.

AI explanation

Statement I gives the relationship between length and breadth as L = 5/3 times B. Statement II provides the diagonal length of 30 meters, which by the Pythagorean theorem means L squared plus B squared equals 900. Substituting the first equation into the second gives a single equation for B, and the area formula L times B can then be solved, requiring both statements together.

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