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      Question

      Which of the following combination of person meet with

      C? Study the following information carefully and answer the below questions. Nine friends namely – A, B, C, D, E, F, G, H and I attend a meeting. Each person likes different number viz. 2, 4, 8, 10, 12, 14, 16, 20 and 24. They meet with each other but in a particular way. The one who likes prime number do not meet with the one who likes non-prime number and vice-versa. All person meet with at least one person. The one who likes 20 meet with A. A likes 4 but doesn’t meet with E. H likes perfect square number and meet with atleast two persons. The one who likes 24 meet with B. G likes 10 and meet with all the person. Sum of numbers liked by I and B is 26. D meet with the one who likes 14 but not with E. The one who meet with D also meet with B. A meet with two persons but not with H. C neither likes 12 nor meet with I. The one who likes 12 meet with the one who likes lowest number. Person who likes perfect square number meet with at least two persons. E Meet with H but doesn’t likes 20. I meet with one person.
      A I and F Correct Answer Incorrect Answer
      B G and I Correct Answer Incorrect Answer
      C D and G Correct Answer Incorrect Answer
      D G, I and F Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Person who likes perfect square number meet with at least two persons. H likes perfect square number and meet with only two person, that means we have two possible number for H, in case (1) H likes 8, in case (2) H likes 14. E Meet with H but doesn’t likes 20, that means H also meet with E. G likes 10 and meet with all the person, that means G meet with all the person likes prime number. I meet with one person. Sum of numbers liked by I and B is 26, that means only possible combination is (8, 16), as the one who likes perfect square number, must meet with at least two persons and I meet with only one person, thus I likes 16 and B likes 8.  Based on above given information  Case (1) is not valid as B likes 8. Again, we have: The one who likes 20 meet with A. A likes 4 but doesn’t meet with E. As, E doesn’t like 20, that means E must likes 24. The one who likes 24 meet with B, that means E meet with B. A meet with two persons but not with H. D meet with the one who likes 14 but not with E, that means D likes 20 and meet with H. C neither likes 12 nor meet with I, as only remaining persons are those who likes prime number, that means C likes 2 and F likes 12. The one who meet with D also meet with B. As, H meet with atleast two persons and E doesn’t meet with D, thus A meet with B. The one who likes 12 meet with the one who likes lowest number, that means F meet with C. Based on above given information we have final arrangement as follow:

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