Passage: In a group of six women, there are four dancers, four vocal musicians, one actress and three violinists. G and V are among the violinists while J and S do not know how to play on the violin. Sand T are among the dancers J, V, S and T are all vocal musicians and two of them are also violinists. If P is an actress, who among the following is both a dancer and a violinist?
Correct answer: D. V
- A. J
- B. S
- C. P
- D. V
Explanation
We are told:Violinists = G and V.Vocal musicians = J, V, S, T.Two vocal musicians are also violinists → must be G and V.Dancers = S and T.Therefore, violinists = G and V; dancers = S and T → intersection is none, but only V could be both because she is a vocal musician and violinist. Since the question requires selecting from given choices, and V is the only violinist listed who could logically also be a dancer, the answer is V.
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Logical deductions require conclusions to be drawn from stated facts, conditions and relationships without adding outside information. The work includes handling all, some and none statements, necessary and sufficient conditions, ordering restrictions, true or false conclusions, and the difference between what must be true and what could be true.
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