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    Question

    In the given question, a set of conclusions is given. There are five options comprising of three or more statements. You need to choose the option that contains the set of statements from which the given conclusions logically follow.

    At least some singers are dancers. Some dancers are not lyricist.

    A No singer is a lyricist. All dancers are performers. All performers are singers. Correct Answer Incorrect Answer
    B No dancer is a performer. Some performers are singers. All singers are lyricist. Correct Answer Incorrect Answer
    C Some dancers are singers. No singer is a lyricist. At least some performers are singers. Correct Answer Incorrect Answer
    D Few dancers are lyricist. Some singer is a lyricist. All performers are singers. Correct Answer Incorrect Answer
    E Both 1st and 3rd. Correct Answer Incorrect Answer

    Solution

    All dancers are performers(A) + All performers are singers(A) ⇒ All dancers are singers(A) ⇒ Some dancers are singers(I) ⇒ conversion ⇒ Some singers are dancers(I). All dancers are performers (A) + All performers are singers(A) ⇒ All dancers are singers(A) + No singer is a lyricist (E) ⇒ Some dancers are not lyricist (O). Hence, option 1 is correct. Some dancers are singers ⇒ conversion ⇒ Some singers are dancers(I). Some dancers are singers(I) + . No singer is a lyricist(E) ⇒ Some dancers are not lyricist (O). Hence, option3 is also correct. By elimination method - By option 2, we get, No + some = no definite conclusion between singer and dancer. Hence it is eliminated. By option 4, some + some = no definite conclusion can be drawn between singer and dancer. Hence it is eliminated. By option 1 and 3, the conclusion can be drawn. Hence answer is both 1 and 3.

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