Multiple choice

In each of the following questions, two equations are given. You have to solve them and give answers- $(I) P = \sqrt{x} + 90 \quad (II) Q = 12$

  1. If P < Q

  2. If P ≤ Q

  3. If P > Q

  4. If P ≥ Q

  5. If P = Q or relationship cannot be established.

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

Equation (I) states P = √x + 90, but x is not specified. If x is negative, P is undefined. If x = 0, P = 90. If x > 0, P > 90. Equation (II) states Q = 12. Since the value of x is unknown and P can be undefined or greater than 12 depending on x, the relationship between P and Q cannot be established. Therefore, option E is correct.