CAT 2024 Slot 2 — DILR Question 22
Answer the following questions based on the information given below.
Eight gymnastics players numbered 1 through 8 underwent a training camp where they were coached by three coaches - Xena, Yuki, and Zara. Each coach trained at least two players. Yuki trained only even numbered players, while Zara trained only odd numbered players. After the camp, the coaches evaluated the players and gave integer ratings to the respective players trained by them on a scale of 1 to 7, with 1 being the lowest rating and 7 the highest.
The following additional information is known.
1. Xena trained more players than Yuki.
2. Player-1 and Player-4 were trained by the same coach, while the coaches who trained Player-2, Player-3 and Player-5 were all different.
3. Player-5 and Player-7 were trained by the same coach and got the same rating. All other players got a unique rating.
4. The average of the ratings of all the players was 4.
5. Player-2 got the highest rating.
6. The average of the ratings of the players trained by Yuki was twice that of the players trained by Xena and two more than that of the players trained by Zara.
7. Player-4's rating was double of Player-8's and less than Player-5's.
Who all were the players trained by Xena?
Answer & solution
- A
Player-1, Player-3, Player-4, Player-6
Player-1, Player-3, Player-4, Player-8
- C
Player-1, Player-3, Player-4
- D
Player-1, Player-4, Player-6, Player-8
Hard
From the coach assignment: P1 and P4 are Xena's (Clue 2), P3 goes to Xena once Zara is filled by P5 and P7, and P8 (even) joins Xena rather than Yuki so that Yuki's count stays below Xena's.
Final assignment:
| Coach | Players |
|---|---|
| Xena | P1, P3, P4, P8 |
| Yuki | P2, P6 |
| Zara | P5, P7 |
Core Xena players. P1, P4 (Clue 2) and P3 (since P5, P7 take Zara).
P8 joins Xena. P6 and P8 are even (Yuki or Xena). Yuki needs and Xena Yuki; sending P6 to Yuki and P8 to Xena gives |Xena| = 4 > |Yuki| = 2.