Multiple choice

In each question two equations numbered I and II are given. You have to solve both the equations and mark the appropriate answer. (I) (x^{2}-49x+594=0) (II) (y^{2}-58y+837=0)

  1. If x > y

  2. If x ≥ y

  3. If x < y

  4. If x ≤ y

  5. If x = y or no relation can be established between x and y.

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

Solving (I): x² - 49x + 594 = 0 gives x = 27, 22 (factors 27 and 22). Solving (II): y² - 58y + 837 = 0 gives y = 27, 31 (factors 27 and 31). Maximum x value is 27, minimum y value is 27. Since all x values (27, 22) are less than or equal to all y values (27, 31), x ≤ y is correct.