NIMCET 2008 — Reasoning PYQ

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Question

NIMCET 2008 — Reasoning PYQ

NIMCET | Reasoning | 2008

Mr. and Mrs. Birla and Mr. and Mrs. Tata competed in a chess tournament. Of the three games played
(I) In only the first game were the two players married to eah other.
(II) The men won two games and the women won one game.
(III) The Birlas won more games than the tatas.
(IV) Anyone who lost a game did not play a subsequent game.
Who did not lose a game?

Choose the correct answer:

Explanation

The Conditions in Simple Terms

Total Games: 3 (Iska matlab 3 log haarenge aur sirf 1 person undefeated rahega).
Rule (III): Birlas $>$ Tatas (Birlas ne 2 games jeete, Tatas ne 1).
Rule (II): Men = 2 wins, Women = 1 win.
Rule (IV): Jo haara, wo bahar (Out).

Step-by-Step Elimination Table

Game No.	Players	Winner	Logic / Rules Applied
Game 1	Mr. Tata vs Mrs. Tata	Mr. Tata	Rule (I): Spouses only in Game 1.
Game 2	Mr. Tata vs Mrs. Birla	Mrs. Birla	Rule (II): 1 Woman win needed. Birla win count starts.
Game 3	Mrs. Birla vs Mr. Birla	Mr. Birla	Rule (III): Birlas need 2 wins. Rule (II): Men need 2 wins.

Note: Upar wali table me ek error hai—Rule (I) ke hisaab se Game 3 me Birla vs Birla nahi ho sakta. Isliye correct sequence ye hoga:

The Correct Undefeated Sequence

Game 1 (Married Couple): Mr. Tata vs Mrs. Tata $\rightarrow$ Mrs. Tata wins.

(Tatas won 1, Women won 1)
Game 2: Mrs. Tata vs Mr. Birla $\rightarrow$ Mr. Birla wins.

(Birlas won 1, Men won 1, Mrs. Tata is out)
Game 3: Mr. Birla vs Mr. Tata (No, he lost) $\rightarrow$ Mr. Birla vs Mr. Tata is not possible.

Wait, simplified logic ye hai:

Tournament me 3 games hue aur 4 log the. Sirf ek hi banda aisa ho sakta hai jisne koi game nahi haara (The Final Winner).

Birlas ne 2 games jeete.
Men ne 2 games jeete.
In dono conditions ko satisfy karne wala common factor Mr. Birla hai.

Agar Mr. Birla Game 2 aur Game 3 dono jeet jata hai, toh wo 2 wins (Birla wins) aur 2 wins (Men wins) ka quota pura kar leta hai bina koi match haare.

Final Answer

Mr. Birla did not lose a game.

Correct Option: (a) Mr. Birla