Multiple choice

Following question consists a question and two statements numbered I and II. You have to decide whether the data provided in the statements are sufficient to answer the question or not. What is the cost of the flooring rectangular hall? (I) The ratio of length and breadth of the hall is 3 : 4. (II) Difference of diagonal and perimeter of the hall is 36 cm and cost of flooring is Rs 15 per square meter.

  1. Only II

  2. Only I

  3. I and II

  4. Any one of the two.

  5. None of these.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Statement I alone gives only ratio (3:4), insufficient for area or cost. Statement II: Let dimensions be l and b. Diagonal = sqrt(l^2 + b^2), Perimeter = 2(l+b). Difference = 36. Combined with ratio 3:4, we can solve: let l=3x, b=4x. Diagonal = 5x, Perimeter = 14x, 14x-5x=9x=36, so x=4. Area = 12×16 = 192 sq cm. Both statements needed. Answer C is correct.

Keep practicing — related questions