There is a path around a square field Find the area of the square field Statement I Width of path ar...........

Quantitative Aptitude(IBPS CL) Data Sufficiency

Direction: Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.

There is a path around a square field.

Find the area of the square field.

Statement I: Width of path around the square field is 2 m.

Statement II: Total area of the path is 136 m².

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.

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.

The data either in statement I alone or in statement II alone is sufficient to answer the question.

The data given in both statements I and II together are not sufficient to answer the question.

The data given in both statements I and II together are necessary to answer the question.

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Explanation:

Let the side of the square be a m.
Statement I:
Width of path around the square field = 2 m
Statement I alone is not sufficient to answer the question.
Statement II:
Total area of the path = 136 m²
Statement I alone is not sufficient to answer the question.
Both statement I and statement II:
(a + 4)² – a² = 136
⇒ a² + 16 + 2a – a² = 136
⇒ 2a = 120
⇒ a = 60 m
Area of the square field = 602 = 3600 m²
Both statement I and statement II together are necessary to answer the question.