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^2 - 53x + 462 = 0) (b) (y^2 - 88y + 1932 = 0)

  1. x > y

  2. x ≤ y

  3. x ≥ 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
B Correct answer
Explanation

For x² - 53x + 462 = 0, factors are (x-42)(x-11) = 0, giving x = 42 or x = 11. For y² - 88y + 1932 = 0, factors are (y-42)(y-46) = 0, giving y = 42 or y = 46. When x = 42 and y = 42, we have x = y. When x = 11 and y = 42 or 46, we have x < y. Since x is never greater than y, x ≤ y is correct.

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