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CAT 2020 Slot 3 · DILR · Games and Tournaments · easy

CAT 2020 Slot 3 DILR: Quiz Show Elimination Rounds

Six contestants — Aman, Bina, Chirag, Divya, Esha and Farid — took part in a quiz show with four rounds. In every round each contestant earns (or loses, if negative) some points. After Rounds 1, 2 and 3, the contestant with the lowest cumulative score (total points earned so far) is eliminated; the remaining contestants proceed to the next round. After Round 4, no one is eliminated — the contestant among the last three with the highest cumulative score is declared the winner.

Points scored by each contestant in each round they played:

| Contestant | Round 1 | Round 2 | Round 3 | Round 4 |
|---|---|---|---|---|
| Aman | 15 | 10 | 20 | 15 |
| Bina | 10 | 8 | 12 | — |
| Chirag | 20 | -5 | — | — |
| Divya | 5 | — | — | — |
| Esha | 25 | 15 | 5 | 30 |
| Farid | 12 | 18 | 10 | 18 |

(A "—" means the contestant had already been eliminated before that round.)

Question 1

Single correct option

Which contestant was eliminated after Round 1?
  1. A. Bina
  2. B. Chirag
  3. C. Divya
  4. D. Farid
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Answer: (C) Divya

After Round 1, cumulative scores equal Round-1 points: Aman 15, Bina 10, Chirag 20, Divya 5, Esha 25, Farid 12. The lowest is Divya (5), so Divya is eliminated.

Question 2

Numerical answer

What was Chirag's cumulative score at the point he got eliminated?
Show answer and solution

Answer: 15

After Round 2 (Divya already eliminated), cumulative scores: Aman 15+10=25, Bina 10+8=18, Chirag 20-5=15, Esha 25+15=40, Farid 12+18=30. The lowest is Chirag (15), so he is eliminated with a cumulative score of 15.

Question 3

Single correct option

Who won the quiz show?
  1. A. Aman
  2. B. Esha
  3. C. Farid
  4. D. Bina
Show answer and solution

Answer: (B) Esha

After Round 3 (from cumulative 25,18,40,30 for Aman,Bina,Esha,Farid): Aman 25+20=45, Bina 18+12=30, Esha 40+5=45, Farid 30+10=40. Lowest is Bina (30), eliminated. Final three enter Round 4 with 45, 45, 40. After Round 4: Aman 45+15=60, Esha 45+30=75, Farid 40+18=58. Esha has the highest final score (75) and wins.

Question 4

Numerical answer

What was the winning margin, i.e., the difference between the winner's and the runner-up's final cumulative scores?
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Answer: 15

Final cumulative scores: Aman 60, Esha 75, Farid 58. Winner Esha (75), runner-up Aman (60). Margin = 75-60 = 15.

Question 5

Single correct option

Which two contestants had equal cumulative scores at the end of Round 3?
  1. A. Aman and Esha
  2. B. Aman and Farid
  3. C. Esha and Farid
  4. D. Bina and Farid
Show answer and solution

Answer: (A) Aman and Esha

At the end of Round 3, cumulative scores were Aman 45, Bina 30 (eliminated), Esha 45, Farid 40. Aman and Esha were tied at 45.
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