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: x2 - 17x + 72 = 0. Find the value of x? Quantity II: y2 -13y + 40 =0. Find the value of y?

  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
D Correct answer
Explanation

Quantity I: x² - 17x + 72 = 0 factors to (x-8)(x-9) = 0, so x = 8 or 9. Quantity II: y² - 13y + 40 = 0 factors to (y-8)(y-5) = 0, so y = 8 or 5. Comparing values: x can be 8 or 9, y can be 8 or 5. When both are 8, they're equal; otherwise, x > y (9 > 8, 9 > 5, 8 > 5). So Quantity II ≤ Quantity I is correct.

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