Multiple choice

Passage

Directions: The question given below is followed by three statements (A), (B) and (C). You have to determine which statement(s) is/are sufficient/necessary to answer the question. Mark your answer as per these codes: (a) (A) and (B) together are sufficient. (b) Either (A) or (B) is sufficient. (c) Only (B) is sufficient. (d) Either (B) alone or (A) and (C) together are sufficient. (e) All are necessary to answer the given question.

The cost of flooring a rectangular plot is Rs. 30 per square metre and its area is 1/3rd the area of a circular field. What will be the total cost of flooring the rectangular plot? (A) The length of the rectangular plot is 42 m. (B) The diameter of the circular field is 42 m. (C) The breadth of the rectangular plot is 3 less than 1/3rd of its length.

  1. a

  2. b

  3. c

  4. d

  5. e
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

To find the cost, we need the area of the rectangular plot. We know Area_rect = 1/3 * Area_circle. Statement (B) gives the diameter of the circle, allowing us to find its area. Statement (A) gives the length of the rectangle. With area and length, we can find the breadth. Statement (C) provides a relationship between length and breadth. Using (B) and (C) is sufficient, or (A) and (B) is sufficient.

AI explanation

The total cost is found by multiplying the area of the rectangular plot by 30, and statement B alone provides the circular area needed to find this rectangular area. Using statement A and statement C also provides the length and breadth of the rectangle, which yields the area directly without needing the circle's dimensions. Therefore, either statement B alone or statements A and C together are sufficient to answer the question. The result is either statement B alone or statements A and C together are sufficient.

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