Multiple choice

What is the cost of flooring a rectangular hall? Statement I: The difference between the length and breadth of the rectangle is 5 cm. Statement II: The perimeter of the rectangular hall is 50 cm $Statement III: The cost of flooring (100 cm^2) area is Rs. 1000$

  1. Either statement III alone or statements I and II together are sufficient.

  2. Only statement III is sufficient.

  3. Only statement I and III is sufficient.

  4. Statement I, II, and III together are sufficient.

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

We need all three statements: From II, perimeter = 50, so 2(l+b)=50, l+b=25. From I, l-b=5. Solving: l=(25+5)/2=15, b=(25-5)/2=10. Area = 15×10=150 sq.cm. From III, cost of 100 sq.cm is 1000, so rate = 1000/100=10 per sq.cm. Total cost = 150×10=1500. All three statements together are necessary and sufficient.

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