Ria, Sia, Gia, and Mia went to a college party with Taksh, Ashk, Vansh, and…

2024

Ria, Sia, Gia, and Mia went to a college party with Taksh, Ashk, Vansh, and Karan. All were supposed to dance there.

Ria did not dance with Taksh or Vansh.

Gia knew only disco dance, and Ashk and Vansh did not know disco.

Mia and Vansh are bitter enemies and won’t dance with each other.

Given a choice, Ashk won’t dance with Mia.

Karan’s partner is Gia.

Who was Mia’s dance partner?

  1. A.

    Taksh

  2. B.

    Ashk

  3. C.

    Karan

  4. D.

    Vansh

Attempted by 320 students.

Show answer & explanation

Correct answer: A

Representation (quick deductions)

Gia ↔ Karan (given).

Gia can’t dance with Ashk/Vansh (they don’t know disco). Consistent with (1).

Now remaining boys for Ria, Sia, Mia: Taksh, Ashk, Vansh.

Ria did not dance with Taksh or Vansh ⇒ Ria ↔ Ashk.

Left for Sia and Mia: Taksh and Vansh.

Mia won’t dance with Vansh and Ashk wouldn’t choose Mia anyway ⇒ Mia ↔ Taksh.

Then Sia ↔ Vansh (by elimination).

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