Comprehension
The game of Chango is a game where two people play against each other; one of them wins and the other loses, i.e., there are no drawn Chango games.12 players participated in a Chango championship. They were divided into four groups: Group A consisted of Aruna, Azul, and Arif; Group B consisted of Brinda, Brij, and Biju; Group C consisted of Chitra, Chetan, and Chhavi; and Group D consisted of Dipen, Donna, and Deb.
Players within each group had a distinct rank going into the championship. The players have NOT been listed necessarily according to their ranks. In the group stage of the game, the second and third ranked players play against each other, and the winner of that game plays against the first ranked player of the group. The winner of this second game is considered as the winner of the group and enters a semi-final.
The winners from Groups A and B play against each other in one semi-final.
while the winners from Groups C and D play against each other in the other semi-final. The winners of the two semi-finals play against each other in the final to decide the winner of the championship.
It is known that:
1. Chitra did not win the championship.
2. Aruna did not play against Arif. Brij did not play against Brinda.
3. Aruna, Biju, Chitra, and Dipen played three games each, Azul and Chetan played two games each, and the remaining players played one game each.
Question: 1

Who among the following was DEFINITELY NOT ranked first in his/her group?

Updated On: Jul 22, 2025
  • Dipen
  • Aruna
  • Brij
  • Chitra
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The Correct Option is A

Solution and Explanation

To identify who was definitely not ranked first in their group, we need to assess the given information and understand the ranking and match patterns.

Let's break down the explanations for each player: 

  • Aruna: Did not play against Arif, meaning she was not ranked first as the first-ranked player only plays against the winner of the second and third player match.
  • Brij: Did not play against Brinda, suggesting he could have been ranked first but not conclusively known from this alone.
  • Chitra: Did not win the championship, but nothing suggests she was not first in her group.
  • Dipen: Played three games, which indicates he consistently won his games starting from the second rank, proving he was not initially the first-ranked player.

Of these, Dipen is clearly not ranked first in his group, as he participated in three games, indicating he started as a lower rank and won his way to the semi-final.

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Question: 2

Which of the following pairs must have played against each other in the championship?

Updated On: Jul 22, 2025
  • Deb, Donna
  • Azul, Biju
  • Donna, Chetan
  • Chitra, Dipen
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The Correct Option is D

Solution and Explanation

The question involves identifying which pair must have played against each other in the Chango championship based on given information. Here's the logical reasoning process:

1. The Chango championship involves 12 players divided into four groups, A to D. Each group's format is:

  • The second and third-ranked players play each other.
  • The winner then plays against the top-ranked player of the group.
  • The group winner advances to the semi-finals.

2. Known facts: 

  • Aruna never played Arif and Brij never played Brinda.
  • Aruna, Biju, Chitra, and Dipen played three games each.
  • Azul and Chetan played two games each, and everyone else played one game.

3. Analyzing the Groups:

  • Group A: Aruna, Azul, Arif. Since Aruna didn’t play Arif, Azul plays against Arif. Aruna then plays the winner. Aruna wins the group and reaches the semi-final.
  • Group B: Brinda, Brij, Biju. Since Brij didn’t play Brinda, Biju plays against Brinda. Biju then plays Brij. If Biju played three games, he won the group, so Biju goes to the semi-final.
  • Group C: Chitra, Chetan, Chhavi. Chitra and Chetan play against each other; then Chitra plays against Chhavi, winning the group and advancing to the semi-final (since Chitra played three games).
  • Group D: Dipen, Donna, Deb. Dipen and Donna play; then, Dipen plays Deb, wins, and reaches the semi-final (as Dipen also played three games).

4. Semi-Finals:

  • Group A winner Aruna vs. Group B winner Biju.
  • Group C winner Chitra vs. Group D winner Dipen.

5. Conclusion: Given Chitra did not win the championship and all logical deductions, Chitra and Dipen must have played in the semi-finals.

Therefore, the answer is the pair that must have played against each other: Chitra and Dipen.

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Question: 3

Who won the championship?

Updated On: Jul 22, 2025
  • Chitra
  • Aruna
  • Brij
  • Cannot be determined
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The Correct Option is B

Solution and Explanation

The problem involves determining the winner of a championship in the game of Chango, using the given constraints and information about players and match structure. Let's break down the solution step-by-step:

Step 1: Determine Initial Matches

Within each group, the second and third ranked players compete. The winners then play the first ranked player.

Group Matches

  • Group A: Aruna, Azul, Arif
  • Group B: Brij, Brinda, Biju
  • Group C: Chitra, Chetan, Chhavi
  • Group D: Dipen, Donna, Deb

Step 2: Analyze Participation

According to the information, Aruna, Biju, Chitra, and Dipen played three games each. Azul and Chetan played two games each, and the rest played one game each.

Step 3: Apply Constraints to Determine Winners

  1. Aruna did not play against Arif, which means Arif was ranked third and likely lost the initial match, eliminating him from reaching Aruna in the group match.
  2. Brij did not play against Brinda, implying they were the first and third in their group or both in initial matches and lost earlier.
  3. Chitra didn't win the championship, eliminating her as the champion. It confirms she merely reached the semi-final.

Step 4: Assign Semi-Finalists

  • Group A: Aruna is likely the winner since she played 3 games and had to reach the finals.
  • Group B: Biju won the group, playing 3 games (1 in group, 1 semi-final, 1 final).
  • Group C: Chitra won her group but lost in the final/semi-final stage.
  • Group D: Dipen won the group reaching the semi-final stage (3 games).

Step 5: Determine the Championship Winner

The semi-final winners are Aruna and Dipen. As Aruna played 3 games and is the only one fitting all constraints and winning all her matches, we conclude she won the championship.

Conclusion: The winner of the championship is Aruna.
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Question: 4

Who among the following did NOT play against Chitra in the championship?

Updated On: Jul 22, 2025
  • Aruna
  • Chetan
  • Dipen
  • Biju
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The Correct Option is D

Solution and Explanation

To determine who did NOT play against Chitra in the championship, we analyze the given information and follow these steps:

  1. According to the group information, Chitra is in Group C with Chetan and Chhavi. The second and third ranked players in the group play against each other and the winner plays against the first ranked player. 
  2. Within Group C:
    • Since Chitra played three games and Chetan played two, Chitra is likely the first ranked player. Chetan and Chhavi play first, and then the winner plays Chitra.
    • Thus, Chitra plays against both Chetan and the winner between Chetan and Chhavi, which directly or indirectly means Chitra played against Chetan regardless of the outcome.
  3. In Group D, we have Dipen, Donna, and Deb:
    • Similar logic applies. Let's assume, Dipen won his group by playing against Deb and Donna (or vice-versa), and went to the semi-finals.
  4. From the semi-final structure, Chitra plays against the winner of Group D, which includes Dipen, indicating that Chitra did play against Dipen.
  5. Thus, by elimination and knowing Biju is in Group B and Aruna is in Group A, Chitra never plays against anyone from Group A or B directly.

Since the semi-final matches do not cross with Group B (Biju's group), Chitra did NOT play against Biju. Hence, the correct answer is Biju.

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