Multiple choice

Passage

In the given questions, two quantities are given, one as ‘Quantity 1’ and another as ‘Quantity 2’. You have to determine relationship between two quantities and choose the appropriate option:

Quantity I: The diagonal of the square is 24√2 cm. The area of the square is? Quantity II: The perimeter of the square is 96 cm. Then the area of the square is?

  1. Quantity I> Quantity II

  2. Quantity I< Quantity II

  3. Quantity II ≥ Quantity I

  4. Quantity II ≤ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Quantity I: Diagonal = 24√2 cm. For a square, diagonal = a√2, so a = 24 cm. Area = a² = 576 cm². Quantity II: Perimeter = 96 cm, so 4a = 96 and a = 24 cm. Area = a² = 576 cm². Both quantities equal 576 cm², so the relationship is 'Quantity I = Quantity II' (or E: cannot be established when E means equal).

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