Question

The following question is accompanied by three statements (A), (B) and (C). You have to determine which statement(s) is/are sufficient/necessary to answer the question.
Find the length of the side of a square.
A. Total cost of flooring the square is Rs.1,000 at the rate of Rs.40 per square meter.
B. A rectangle whose perimeter is 20 m is equal to the perimeter of the square.
C. A square of area equal to 50 sq. m can be made on the diagonal of the given square.

• A. Any of them
• B. Any two of them
• C. Either B or C only
• D. Either A or B only

Answer 1

Answer: (D)

Either A or B only

Answer 2

Let's analyze the statements:
Statement A: The total cost of flooring the square is Rs. 1,000 at Rs. 40 per square meter. This allows us to calculate the area of the square and, subsequently, the length of its side.
Statement B: A rectangle with a perimeter of 20 m equals the perimeter of the square. This relates the perimeter of the rectangle to the square but doesn't provide the side length directly.
Statement C: A square with an area of 50 sq. m can be made on the diagonal of the square, but this does not directly give the length of the side of the original square.
Combinations:
1. Any single statement : None provides enough information on their own.
2. Any two statements : Still not sufficient to find the length of the side.
3. B and C together : Does not provide enough information.
4. A and B together : Statement A provides the area, and B relates the perimeters, helping us find the side length.
So, the correct option is (D) : Either A or B only is sufficient to determine the length of the side of the square.