Question

Chetan invited five friends—Ritwik, Avantika, Darshan, Parul and Shweta. Each gifted Chetan a different item: jacket, watch, shirt, video game, headphone. In return, Chetan gave each a different item: goggles, bag, pen, mobile case, diary.
[2pt] i) Avantika gifted the shirt and did not receive a bag.
ii) Shweta did not gift the headphone but received the mobile case.
iii) Neither Ritwik nor Darshan gifted the jacket; whoever gifted it received the goggles.
iv) The video-game giver received a diary or a bag.
v) Darshan did not gift a watch but received a pen.
vi) Shweta did not gift a video game and Ritwik did not receive a diary.
Who gifted the watch?

• A. Shweta
• B. Darshan
• C. Ritwik
• D. Parul

Hint:

In two-way assignment puzzles, lock any “person unique return” pairs first; then use the “not this” constraints and the one-to-one nature to finish by elimination.

Answer 1

The Correct Option is A

Step 1: Place the sure facts.
Avantika \(\rightarrow\) shirt (i) and \(\neq\) bag (return).
Shweta \(\rightarrow\) return mobile case, gift \(\neq\) headphone (ii) and \(\neq\) video game (vi).
Darshan \(\rightarrow\) return pen, gift \(\neq\) watch (v).

Step 2: Find the jacket giver.
From (iii) Ritwik \(\neq\) jacket and Darshan \(\neq\) jacket; Avantika already shirt.
So the jacket is by Parul \(\Rightarrow\) Parul’s return \(=\) goggles (iii).

Step 3: Identify the video-game giver from the return gift rule.
Only returns left to host the rule (iv) “diary or bag” are: bag and diary.
- Avantika cannot take bag (i), so she could take diary—but she didn’t gift the video game (she already gifted shirt).
- Shweta has mobile case, Parul has goggles, Darshan has pen.
Thus the only candidate who can satisfy (iv) is Ritwik with return \(=\) bag (since Ritwik \(\neq\) diary by (vi)).
\(\Rightarrow\) Ritwik gifted the video game.

Step 4: Finish by elimination.
Remaining gifts are watch and headphone for \{Shweta, Darshan\}.
Darshan \(\neq\) watch (v) \(\Rightarrow\) Darshan \(\rightarrow\) headphone.
Therefore \(\boxed{\text{Shweta\ gifted\ the\ watch}}\).