Eight players — Arjun, Bhavna, Chetan, Divya, Esha, Farid, Gautam and Hina — took part in a single-elimination tennis tournament with four quarterfinal (QF) matches, two semifinal (SF) matches and one final. In each round, the loser is eliminated and the winner advances.
The results were as follows:
- QF1: Arjun defeated Bhavna.
- QF2: Divya defeated Chetan.
- QF3: Farid defeated Esha.
- QF4: Gautam defeated Hina.
- SF1: the winner of QF1 played the winner of QF2 — Arjun defeated Divya.
- SF2: the winner of QF3 played the winner of QF4 — Farid defeated Gautam.
- Final: Arjun defeated Farid to win the tournament.
The results were as follows:
- QF1: Arjun defeated Bhavna.
- QF2: Divya defeated Chetan.
- QF3: Farid defeated Esha.
- QF4: Gautam defeated Hina.
- SF1: the winner of QF1 played the winner of QF2 — Arjun defeated Divya.
- SF2: the winner of QF3 played the winner of QF4 — Farid defeated Gautam.
- Final: Arjun defeated Farid to win the tournament.
Question 1
Single correct option
Who won the tournament?
- A. Farid
- B. Divya
- C. Arjun
- D. Gautam
Show answer and solution
Answer: (C) Arjun
From the final result stated, Arjun defeated Farid in the final, so Arjun is the tournament champion.
Question 2
Single correct option
Which player lost to Arjun in the semifinal?
- A. Bhavna
- B. Divya
- C. Chetan
- D. Farid
Show answer and solution
Answer: (B) Divya
In SF1, the winner of QF1 (Arjun) played the winner of QF2 (Divya, who had beaten Chetan), and Arjun defeated Divya. So Divya is the player who lost to Arjun in the semifinal.
Question 3
Numerical answer
How many matches did Arjun play (and win) over the course of the entire tournament?
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Answer: 3
Arjun played and won three matches to become champion: the quarterfinal against Bhavna, the semifinal against Divya, and the final against Farid.
Question 4
Single correct option
Whom did Farid defeat in the semifinal to reach the final?
- A. Esha
- B. Hina
- C. Gautam
- D. Chetan
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Answer: (C) Gautam
In SF2, the winner of QF3 (Farid, who had beaten Esha) played the winner of QF4 (Gautam, who had beaten Hina), and Farid won that match. So Farid defeated Gautam in the semifinal.
Question 5
Numerical answer
How many of the eight players never played a match against Arjun at any stage of the tournament?
Show answer and solution
Answer: 4
Arjun's opponents across the tournament were Bhavna (QF), Divya (SF) and Farid (Final) — 3 players. Of the remaining 8−1(Arjun)−3(opponents) = 4 players (Chetan, Esha, Gautam, Hina), none ever faced Arjun, since Chetan and Esha were eliminated in the quarterfinals by Divya and Farid respectively, and Gautam and Hina never reached the final where Arjun played.
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