Question

In a reality show, two judges independently provided marks based on the performance of the participants. If the marks provided by the second judge are given by y = 1 + x, where x is the marks provided by the first judge. Then for a participant:

• A. Ranks given by both the judges differ by 2
• B. Rank given by the second judge is more than that of the first judge
• C. Ranks given by both the judges are same.
• D. Rank given by the first judge is more than that of the second judge

Hint:

When comparing ranks based on marks, if the difference between the marks is constant, the ranks will remain the same.

Answer 1

The Correct Option is C

Step 1: The marks given by the second judge, \( y \), are related to the marks given by the first judge, \( x \), by the equation:
\[ y = 1 + x \] Step 2: This equation implies that the second judge always gives one mark more than the first judge. Since the ranks are determined by the marks, the relative order of ranks will be the same for both judges. However, the second judge's marks will always be one higher. Step 3: As the ranks are relative and based on the comparison of marks, the ranks of the two judges will be the same for any participant.
Thus, the correct answer is (c) Ranks given by both the judges are same.