Multiple choice

Directions: The question given below is followed by information given in statements I, II and III. You have to consider the information in all three statements and decide the information in which statement is not required to answer the question and therefore, can be dispensed with. What is the cost of a rectangular sheet? I. The length of the rectangle is 12 m and breadth is two third of its length. II. Perimeter of rectangle is 40 m. III. The cost of rectangular sheet of 200 m2 is Rs. 90.

  1. Only I

  2. Only II

  3. Only I and II

  4. Only I or II or III

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

To find the cost of the sheet, we need the area and the rate per square meter. Statement I gives dimensions (area), and Statement III gives the cost for a specific area. Statement II (perimeter) is redundant because area is already determined by length and breadth.

AI explanation

To find the cost, we need the area of the sheet and the cost per unit area. Statement III provides the rate of Rs. 90 per 200 m2, but to find the total cost, we still need the area of the specific sheet. The area can be found using statement I alone, because the length is 12 m and the breadth is 2/3 of 12, which gives an area of 96 m2. Statement II only gives the perimeter as 40 m, which combined with statement I creates a redundant pair since the length and breadth are already fully determined, so statement II can be dispensed with. The result is Only II.

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