Multiple choice

In the given question two equations numbered (I) and (II) are given. You have to solve both the equations and give answer.(I. \quad 20p^2 – 17p + 3 = 0 ) (II. \quad 20q^2 – 9q + 1 = 0)

  1. If p > q

  2. If p < q

  3. If p ≥ q

  4. If p ≤ q

  5. If p = q or no relation between p and q can be established

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

For equation I: 20p² - 17p + 3 = 0 factors as (4p - 1)(5p - 3) = 0, giving p = 1/4 and p = 3/5. For equation II: 20q² - 9q + 1 = 0 factors as (4q - 1)(5q - 1) = 0, giving q = 1/4 and q = 1/5. When p = 3/5 and q = 1/5, p > q. When p = 1/4 and q = 1/4, p = q. Therefore p ≥ q is always true.