Multiple choice

The following questions are accompanied by two statements (I) and (II). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. (a) Statement (I) alone is sufficient to answer the question but statement (II) alone is not sufficient to answer the questions. (b) Statement (II) alone is sufficient to answer the question but statement (I) alone is not sufficient to answer the question. (c) Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question. (d) Either statement (I) or statement (II) by itself is sufficient to answer the question. (e) Statements (I) and (II) taken together are not sufficient to answer the question. Ratio between length and breadth of rectangle 'X' is 7 : 4. Find area of a square 'Y'? I . length of rectangle 'X' is two times of radius of circle, whose area is 616 cm2. II . Perimeter of rectangle 'X' is 20 cm more than perimeter of square 'Y'.

  1. A

  2. B

  3. C

  4. D

  5. E

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I gives the length of rectangle X, which allows finding the breadth and area of X. Statement II relates the perimeter of X to the perimeter of Y. Both are needed to find the area of Y.

AI explanation

From statement I, using the circle area formula of pi times r squared equals 616, we find the radius is 14 cm. This makes the rectangle length 28 cm, and with the 7:4 ratio, the breadth is 16 cm. We still need the perimeter of square Y, so statement II provides the equation of 88 equals 4 times the side of Y plus 20, yielding a square side of 17 cm. Both statements are necessary to find the square's area.