Multiple choice

In each of these questions, two equations (a) and (b) are given. You have to solve both the equations and choose the correct option. ( (a) x^{3} = -68921 ) ( (b) y^{2} = 7921 )

  1. $x > y$
  2. $x \le y$
  3. $x \ge y$
  4. $x < y$
  5. x = y or relationship between x and y can't be established

Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

For x³ = -68921, x = -41 (since 41³ = 68921 and cube root of negative is negative). For y² = 7921, y = ±89 (square root gives both positive and negative). Comparing x = -41 with y = 89 gives x < y, but comparing x = -41 with y = -89 gives x > y. Since the relationship changes, it cannot be established.