There are 600 Kabaddi players. Of them, 4% wear a knee band on one leg only. Of the remaining players, 25% wear knee bands on both legs. How many players do not wear a knee band at all?

Introduction / Context:
This problem combines percentages and stepwise counting to determine how many players do not use knee bands. It describes a situation where some players wear a band on one leg, some on both legs, and we are asked to find those with none. This is a practical style question that tests careful reading and sequential application of percentage calculations.

Given Data / Assumptions:

• Total number of Kabaddi players = 600.
• 4% of the players wear a knee band on one leg only.
• Of the remaining players after removing those with one leg band, 25% wear knee bands on both legs.
• We must find the number of players who do not wear any knee band.

Concept / Approach:
First, we compute the number of players with a band on one leg using 4% of the total. We subtract these from the total to get the remaining players. Next, we take 25% of this remaining group as players who wear knee bands on both legs. We then subtract both of these groups from the total to find the players with no band. It is important to note that the 25% is applied to the remaining group, not the original total.

Step-by-Step Solution:
Step 1: Total players = 600. Step 2: Players with a knee band on one leg = 4% of 600. Step 3: 4% of 600 = 0.04 * 600 = 24 players. Step 4: Remaining players after removing one leg band group = 600 - 24 = 576. Step 5: Of these 576 players, 25% wear bands on both legs. Step 6: Players with bands on both legs = 25% of 576 = 0.25 * 576 = 144. Step 7: Total players with at least one band = players with one leg band + players with both leg bands = 24 + 144 = 168. Step 8: Players with no knee band = Total players - players with at least one band = 600 - 168 = 432. Step 9: Therefore, 432 players do not wear any knee band.

Verification / Alternative check:
We can check the percentage of players wearing any band. 168 out of 600 players wear at least one knee band, which is 168 / 600 = 0.28 or 28%. That means 72% of players do not wear a knee band. 72% of 600 is 0.72 * 600 = 432, which matches the earlier calculation, confirming that our result is consistent.

Why Other Options Are Wrong:
426, 428, 415, and 420 do not match the computed count of 432. If any of these values were used, the implied total number of players with knee bands would not match the given percentages when working backward. Only 432 is consistent with both the 4% and 25% conditions applied in sequence.

Common Pitfalls:
A frequent mistake is to take 25% of the original 600 instead of the remaining 576 after removing the one leg band players. Another error is to misinterpret the phrase "of the remaining" and simply add 4% and 25% of the total, which leads to incorrect counts. Students may also confuse the number of bands with the number of players; remember that the question is about players, not individual knee bands.

Final Answer:
The number of players who do not wear a knee band is 432.