Multiple choice

$(\text{In each of the following questions, two equations are given. You have to solve them and state the correct relationship-})$ $(\text{I. } x^3 - 468 = 1729 \qquad \text{II. } y^2 - 1733 + 1564 = 0 )$

  1. $\( x > y \)$
  2. $\( x \ge y \)$
  3. $\( x < y \)$
  4. $\( x \le y \)$
  5. $\( x = y \text{ or relationship can not be established} \)$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Equation I: x³ - 468 = 1729, so x³ = 1729 + 468 = 2197, therefore x = ∛2197 = 13. Equation II: y² - 1733 + 1564 = 0, so y² = 1733 - 1564 = 169, therefore y = ±13. Since x = 13 and y can be +13 or -13, we have x ≥ y (x equals or is greater than y). Option B is correct.

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