Title: DILR 2021 Slot 3: Data Interpretation and Logical Reasoning Solutions for Indian Games
1. Data Interpretation (Case Study: National Games Participation)
Problem Statement:
A survey was conducted to analyze the participation of five Indian games (Cricket, Chess, Badminton, Table Tennis, and Kabaddi) across four regions (North, South, East, West). The data is presented in two tables:
Table 1: Total Participants (in thousands)
| Game | North | South | East | West |
|--------------|-------|-------|------|-------|
| Cricket | 120 | 95 | 80 | 150 |
| Chess | 50 | 60 | 70 | 40 |
| Badminton | 80 | 75 | 65 | 90 |
| Table Tennis | 45 | 55 | 60 | 50 |
| Kabaddi | 30 | 35 | 25 | 30 |
Table 2: Average Age of Participants (years)
| Game | North | South | East | West |
|--------------|-------|-------|------|-------|
| Cricket | 28 | 32 | 30 | 25 |
| Chess | 45 | 48 | 50 | 42 |
| Badminton | 35 | 38 | 40 | 33 |
| Table Tennis | 28 | 30 | 32 | 27 |
| Kabaddi | 22 | 25 | 20 | 24 |
Questions:
Which region has the highest average participation across all games?
Identify the game with the lowest total participants in the West.
Solution:
Average Participation Calculation:
North: ( \frac{120+50+80+45+30}{5} = 78 )
South: ( \frac{95+60+75+55+35}{5} = 73 )
East: ( \frac{80+70+65+60+25}{5} = 65 )
West: ( \frac{150+40+90+50+30}{5} = 90 )
Answer: West (90,000 participants).
Lowest Total Participants in West:
Compare West column in Table 1: Kabaddi (30,000) is the lowest.
Answer: Kabaddi.
2. Logical Reasoning (Case Study: Game Tournament Rankings)
Problem Statement:
Five players (A, B, C, D, E) participated in a Chess tournament. The rankings are determined by the following conditions:
A is not last.
B is above C.
D is below E.
C is not first.
E is not second.
Questions:
Who is third?
If D is fourth, who is first?
Solution:
Step-by-Step Elimination:
From Condition 2: B > C.
From Condition 3: E > D.
From Condition 4: C 鈮?1st.
From Condition 5: E 鈮?2nd.
From Condition 1: A 鈮?5th.
Possible rankings (1st to 5th):
E > B > A > C > D (satisfies all conditions).
Answer:
Third place: A.
If D is 4th, rankings become E > B > C > D > A (but A cannot be last; contradiction).
Adjust to E > B > A > C > D (valid). Third place: A.
Final Answers:
Data Interpretation:
West
Kabaddi
Logical Reasoning:
A
E (if D is 4th, rankings: E > B > A > C > D)
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