Question

Chetan invited five friends—Ritwik, Avantika, Darshan, Parul and Shweta. Each gifted him a different item (jacket, watch, shirt, video game, headphone). In return, Chetan gave each a different item (goggles, bag, pen, mobile case, diary). The facts are:
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; the jacket-giver 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.
Which among the following combination is correct?

• A. Avantika – Bag
• B. Ritwik – Video Game
• C. Ritwik – Diary
• D. Parul – Watch

Hint:

When one gift is tied to a specific return (e.g., “jacket \(\Rightarrow\) goggles”), place it first. Then assign the remaining by checking who cantake each leftover return under all “not this” constraints.

Answer 1

The Correct Option is B

Step 1: Fix direct assignments.
Avantika \(\rightarrow\) shirt, return \(\neq\) bag (i).
Shweta \(\rightarrow\) return mobile case, gift \(\neq\) headphone, \(\neq\) video game (ii, vi).
Darshan \(\rightarrow\) return pen, gift \(\neq\) watch (v). Step 2: Find the jacket-giver and their return.
From (iii) Ritwik \(\neq\) jacket and Darshan \(\neq\) jacket; Avantika already shirt.
\(\Rightarrow\) Parul must have gifted the jacket and hence received goggles (iii). Step 3: Use the video-game return rule.
By (iv), the video-game giver received diary or bag.
Ritwik \(\neq\) diary (vi) \(\Rightarrow\) if he is the video-game giver, he must get bag.
Check remaining returns: Shweta has mobile case, Parul has goggles, Darshan has pen, Avantika cannot take bag (i) \(\Rightarrow\) bag fits only Ritwik.
Thus \(\boxed{\text{Ritwik gifted the video game and received the bag}}\). Step 4: Eliminate other options.
(A) Avantika–Bag contradicts (i).
(C) Ritwik–Diary contradicts (vi).
(D) Parul–Watch contradicts Step 2 (Parul gifted jacket). \[ \boxed{\text{Correct combination: Ritwik – Video Game.}} \]