New 55% Off on All Courses - Enroll Now! Click Here

    Question

    Study the following information carefully and answer the given questions below. Certain number of persons are sitting around the circular table having circumference 306m, in such a way that some are facing center while some are facing away from center. They are seating at consecutive multiple of ‘3’ in clockwise direction. Three person sits between X and N, who neither sits adjacent to G nor sits adjacent to W. L and A sits facing in same direction. X and N sits facing in same direction but opposite to H. Two person sits between O and E. A sits immediate left of E and is four places away from W. F neither sits adjacent to N nor sits facing same direction with Q. N sits 39m right of Q, who doesn’t sits adjacent to O but sits facing center. W neither sits adjacent to G nor sits adjacent to L. E sits 51m left of G. X sits third to right of L. F sits 21m right of J. Not more than four person sits between L and H, when counted left of H. X sits immediate left of O.

    What is the position of O with respect to

    W?
    A Second to right Correct Answer Incorrect Answer
    B Ninth to left Correct Answer Incorrect Answer
    C Fourth to Right Correct Answer Incorrect Answer
    D Either A or B Correct Answer Incorrect Answer
    E Can’t be determined Correct Answer Incorrect Answer

    Solution

    We have circumference of the circular table = 306m. Person sits at consecutive multiple of 3. Thus, (3 + 6 + 9 + 12 + 15 + …….. + 3N) = 306 Similarly, if we take 3 common from both side, we have: (1 + 2 + 3 + 4 + 5 + …… + N) = 102 We know that, sum of N consecutive numbers = N (N + 1)/2 Thus, N (N + 1)/2 = 102 We have: Case 1: If N = 14, then (14 x 15)/2 = 105, which is more than the given value. Case 2: If N = 13, then (13 x 14)/2 = 91, which is less than the given value. That means total number of person in the circle are either 13 or less than 13. Again, for 13 number of person: Circumference = (3 + 6 + 9 + 12 + …………. + 39) = 273, which is less than the given circumference. Thus, we have possibility that counting starts from 6, then we have: Circumference = (6 + 9 + 12 + 15 + ………………. + 42) = 312. Which is more than given circumference, thus there must be less 13 persons. Again, for 12 person Circumference = (3 + 6 + 9 + 12 + …………. + 36) = 234, which is less than the given circumference. Thus, we have possibility that counting starts from 6, then we have: Circumference = (6 + 9 + 12 + 15 + ………………. + 39) = 270, which is still less than the given circumference, Thus, we have possibility that counting starts from 9, then we have: Circumference = (9 + 12 + 15 + ………………. + 42) = 306 That, means we have 12 person in the circle and counting starts from 9 in clockwise direction.  N sits 39m right of Q, who doesn’t sits adjacent to O but sits facing center, that means we have two possible combination for distance to be 39m, i.e. (18 + 21) & 39, that means in case (1) one person sits between N and Q, in case (2) no person sits between N and Q. Three person sits between X and N, who neither sits adjacent to G nor sits adjacent to W. X sits immediate left of O. Two person sits between O and E. E sits 51m left of G, only two such combinations are possible (24, 27) & (42, 9), that means in case (1) O sits facing away from center and E sits (42 + 9)q left of G and case (2) is not valid. Based on above given information we have: Case (2) is not valid as E sits 51m left of G. Again, we have: A sits immediate left of E and is four places away from W. W neither sits adjacent to G nor sits adjacent to L, that means in case (1a) E sits facing away from center and W sits adjacent to X, in case (1b) E sits facing center and W sits adjacent to N. X sits third to right of L.L and A sits facing in same direction, that means in case (1a) L sits facing away from center, in case (1b) L sits facing towards center. F sits 21m right of J. F neither sits adjacent to N nor sits facing same direction with Q, since only such possible combination are (9 + 12)q & 21m, that means in case (1a) J sits facing center and F sits facing away from center and case (1b) is not valid. Not more than four person sits between L and H, when counted left of That means H sits facing away from center and sits immediate right of O. X and N sits facing in same direction but opposite to H, since H sits facing away from center, that means X and N sits facing center. Based on above given information we have final arrangement as follow: Case (1b) is not valid as F sits 21m right of J.

    Practice Next

    Relevant for Exams: