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    Question

    Study the following information carefully and answer the below questions. Nine person namely – Rohit, Rahul, Mohini, Tarun, Dishan, Heena, Kavya, Mohit and Ritik lives in eleven floored building in such a way that floor is marked 1, floor above it marked 2, and so on till floor marked 11. Each person likes different colour viz. Pink, Grey, Red, Yellow, White, Blue, Black, Green and orange. All the information are not necessary in same order. None of the adjacent floor are vacant. Heena lives on adjacent floor of the one who likes Green. Tarun doesn’t like Blue. Ritik lives at a gap of four floor above the one who likes Blue, who neither lives floor marked 1 nor on floor marked 4. _______ lives just below the one who likes Pink, who lives at a gap of two person above the one who likes Red. Mohini lives on odd numbered floor at a gap of three floor from Mohit, who lives just above the one who likes orange. Dishan and the one who likes Grey lives on adjacent floor. The one who likes ________ lives just below Ritik’s floor at a gap of three floor from Heena. At least four person lives between the one who likes Grey and Rahul, who doesn’t like Pink. Rohit lives on even numbered floor at a gap of two floors below the one who likes ______. Heena neither likes Blue nor lives adjacent to vacant floor. One person lives between Kavya and the one who likes Green. Rohit neither lives on floor marked 2 nor lives on floor adjacent to Ritik. ______ lives just above Rohit and likes Yellow. One person lives between Mohini and the one who likes White, who neither lives on top floor nor adjacent to Dishan. Tarun likes ______ and lives at a gap of two persons below the one who likes Yellow.

    Which pair of floors correctly represents vacant floors?

    A 4, 8 Correct Answer Incorrect Answer
    B 2, 6 Correct Answer Incorrect Answer
    C 3, 8 Correct Answer Incorrect Answer
    D 5, 8 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Ritik lives at a gap of four floor above the one who likes Blue, who neither lives floor marked 1 nor on floor marked 4,  The one who likes ________ lives just below Ritik’s floor at a gap of three floor from Heena, lets says P lives just below Ritik, Heena neither likes Blue nor lives adjacent to vacant floor, that means in case (1) Heena lives on floor marked 10 and the one who likes Blue lives on floor marked 2, in case (2) Heena lives on floor marked 11 and the one who likes Blue lives on floor marked 3, Heena lives on adjacent floor of the one who likes Green, that means in case (1a) the one who likes Green lives on floor marked 11, in case (1b) the one who likes Green lives on floor marked 9, in case (2) the one who likes Green lives on floor marked 10,  One person lives between Kavya and the one who likes Green, as none of the adjacent floor is vacant, thus in case (1a) Kavya lives on floor marked 9, in case (1b) Kavya lives on top floor, in case (1c) Kavya lives on floor marked 6, in case (2) Kavya lives on floor marked 7.Based on above given information we have: Again, we have:  Rohit lives on even numbered floor at a gap of two floors below the one who likes ______, lets says Q, Rohit neither lives on floor marked 2 nor lives on floor adjacent to Ritik, that means Rohit lives on floor marked 4. ______ lives just above Rohit and likes Yellow, lets says R likes Yellow and lives on floor marked 5, Tarun doesn’t like Blue., Tarun likes ______ and lives at a gap of two person below the one who likes Yellow, lets says Tarun likes S, that means in case (1a), case (1b), case (1c) &and case 2 is subdivided into two further cases case 2a and case 2b .in case (2a) Tarun lives on floor marked 1, in case (2b) Tarun lives on floor marked 2. One person lives between Mohini and the one who likes White, who neither lives on top floor nor adjacent to Dishan. Mohini lives on odd numbered floor at a gap of three floor from Mohit, who lives just above the one who likes orange, that means in case (1b) Mohini lives on floor marked 9, in case (1c) Mohini lives on floor marked 9, and case (1a), case (2a) & case (2b) is not valid. Based on above given information we have: Case (1a), case (2a) & case (2b) are not valid as Mohini lives on odd numbered floor at a gap of three floor from Mohit. Again, we have:  _______ lives just below the one who likes Pink, who lives at a gap of two person above the one who likes Red, that means in case (1b) & case (1c) Heena lives just below the one who likes Pink, Dishan and the one who likes Grey lives on adjacent floor. At least four person lives between the one who likes Grey and Rahul, who doesn’t like Pink, that means in case (1c) Dishan lives on floor marked 11 and case (1b) is not valid. As, only remaining colour is Black, thus the one who likes Black lives on floor marked 1. Based on above given information we have final arrangement as follow: Case (1b) is not valid as At least four person lives between the one who likes Grey and Rahul.

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