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    Question

    Study the following information carefully and answer the below questions. Ten persons namely –A, B, C, D, E, F, G, H, I, and J attend a seminar event in five different months viz.- January, April, July, September, December. Seminar in each month was scheduled on the 5thrd and 8th of the month. All the information is not necessary in the same order. The number of persons is attending a seminar after A is the same as the number of persons is attending the seminar before C. A attends seminar two months after B, who attends the seminar on an odd date. C and J attend the seminar in the same month. The number of persons is attending the seminar between J and B is the same as the number of persons is attending the seminar between A and I. The number of persons attending the seminar between F and C is one less than the number of persons is attending the seminar between H and G. F attends seminar three months before I, who attends seminar in one of the months has 31 days. G attends seminar on the 8th of the month but not in January. H and D attend seminars in the same month. At least two persons attend the seminar between E and A.

    Which of the following statement is/are not true?

    I) J attends the seminar just after C.

    II) Three persons attending the seminar between A and J.

    III) F and G attending the seminar in the same month.

    A Only III Correct Answer Incorrect Answer
    B Only II and III Correct Answer Incorrect Answer
    C Only I and II Correct Answer Incorrect Answer
    D Only I and III Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    The number of persons is attending a seminar after A is the same as the number of persons is attending the seminar before C.   A attends seminar two months after B, who attends the seminar on an odd date. C and J attend the seminar in the same month. We will have four cases: If B attends seminar on 5th January, then A will attend on 5th April. C will attend on 8 September and J will attend on 5th September. If B attends seminar on 5th April, then A will attend on 5th July. C will attend on 8 July but we do not have dates for J. If B attends seminar on 5th July, then A will attend on 5th September. C will attend on 8 April and J will attend on 5th April. If B attends seminar on 5th September, then A will attend on 5th December. C will attend on 8 January and J will attend on 5th January. The number of persons is attending the seminar between J and B is the same as the number of persons is attending the seminar between A and I.  In case 1, there are five person between B and J. So, I attends seminar on 5th December. In case 3, there is one person between B and J. So, I attends seminar on 5th December. In case 4, there are five person between B and J. So, I attends seminar on 5th April. F attends seminar three months before I, who attends seminar in one of the months has 31 days. Case 1 and 4 will get discarded as we know that I attends the seminar in December and F should have attended in September. In case 3, F attends seminar on 8 September. At least two persons attend the seminar between E and A. So, E attends seminar on 8 December. G attends seminar on the 8th of the month but not in January. Now it is clear that G attends the seminar on 8 July. The number of persons attending the seminar between F and C is one less than the number of persons is attending the seminar between H and G . H and D attend seminars in the same month. We know that three person are there between F and C. It means that there would have been four person between G and H. So, H and D attend seminar on 5th January and 8 January respectively. Final arrangement as shown below:

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