Solving Dance Class Combinations
The problem requires matching four girls (A, B, C, D) with four different dress colours (red, yellow, blue, white) and four dance forms (Chhau, Bharatanatyam, Manipuri, Kathak) based on given clues.
Step-by-Step Deduction
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Initial Assignments:
- Clue 6 states C wears a yellow dress. Clue 1 states the Kathak student wears yellow. Therefore, C learns Kathak and wears Yellow.
- Clue 2 states D wears a white dress.
- Clue 4 states A learns Manipuri.
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Determining D's Dance Form:
- D wears White (Clue 2).
- The Chhau dancer wears Red (Clue 3). Thus, D cannot be the Chhau dancer.
- C learns Kathak. Thus, D cannot be the Kathak dancer.
- A learns Manipuri. Thus, D cannot be the Manipuri dancer.
- The only remaining dance form for D is Bharatanatyam.
- This implies D learns Bharatanatyam and wears White. This aligns with Clue 5 (Bharatanatyam dancer is not in blue dress), as White is not Blue.
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Determining B's Dance Form and Colour:
- The dance forms assigned are Kathak (C), Manipuri (A), and Bharatanatyam (D). The only remaining dance form is Chhau. Therefore, B learns Chhau.
- Clue 3 states the Chhau dancer wears a red dress. Thus, B wears Red.
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Determining A's Colour:
- The colours assigned are Yellow (C), White (D), and Red (B). The only remaining colour is Blue.
- Therefore, A wears Blue.
Final Combinations Summary
| Girl | Dress Colour | Dance Form |
|---|---|---|
| A | Blue | Manipuri |
| B | Red | Chhau |
| C | Yellow | Kathak |
| D | White | Bharatanatyam |
Evaluating the Options
Based on the deduced combinations:
- Option 1: B - Red - Chhau. This matches our deduction for girl B.
- Option 2: D - White - Kathak. Incorrect. D is White but learns Bharatanatyam, not Kathak.
- Option 3: C - Yellow - Bharatanatyam. Incorrect. C is Yellow but learns Kathak, not Bharatanatyam.
- Option 4: A - Blue - Kathak. Incorrect. A is Blue but learns Manipuri, not Kathak.
Similar Questions
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