Multiple choice

In the following questions, two equations I and II are given. You have to solve both the equations and give answer. (I: x^2 - 12x + 35 = 0 ) (II: y^2 - 8y + 15 = 0)

  1. X > Y

  2. X ≥ Y

  3. X < Y

  4. X ≤ Y

  5. X = Y or the relation cannot be established
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Equation I: x² - 12x + 35 = 0 factors to (x - 5)(x - 7) = 0, so x = 5 or 7. Equation II: y² - 8y + 15 = 0 factors to (y - 3)(y - 5) = 0, so y = 3 or 5. Comparing all combinations: if x = 5, it equals y when y = 5 but is greater than y = 3; if x = 7, it's greater than both y values. So X is always ≥ Y, meaning X ≥ Y is correct.

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