Directions (Q81): Read the given instructions carefully and answer the related…

2025

Directions (Q81): Read the given instructions carefully and answer the related question. A certain number of persons sit in a linear row and all face north. H sits third to the right of K. B sits five places away from K. At most three persons sit between B and G, who is an immediate neighbour of K. The number of persons who sit between G and O is two times the number of persons who sit between G and B. O sits fourth from the left end of the row. One person sits between O and V. As many persons sit to the left of V as sit to the right of M, who sits immediate left of H. Not more than three persons sit to the right of H.

Q81. How many persons sit between M and O?

  1. A.

    Ten

  2. B.

    Eleven

  3. C.

    Twelve

  4. D.

    Nine

  5. E.

    Other than those given as options

Attempted by 1 students.

Show answer & explanation

Correct answer: D

CONCEPT: In a single linear row where everyone faces north, "left" means a smaller seat number and "right" a larger one, counting from the left end. Anchor every clue to an absolute seat number using one strong fixed point, then place the rest relative to it. Two clue forms are decisive here: "as many sit to the left of X as to the right of Y" is an equation that links seat numbers, and the persons strictly between two seats a and b number |a - b| - 1.

APPLICATION (step by step):

  1. O is fourth from the left end, so O is at seat 4 (the strongest anchor).

  2. H sits third to the right of K, so H = K + 3. M sits immediately left of H, so M = H - 1 = K + 2.

  3. One person sits between O and V, so V is at seat 2 or seat 6. The clue "as many sit to the left of V as to the right of M" gives (V - 1) = (Total - M). With V = 6 the left count is 5, which would need 5 seats beyond M and overshoot the "not more than three to the right of H" limit; so V = 2, the left count is 1, and the Total = M + 1 = K + 3 = H. Hence H is the last seat of the row.

  4. Now fix K using the remaining clues. B is five places from K, so B = K - 5 or K + 5; G is an immediate neighbour of K, so G = K - 1 or K + 1, with at most three persons between B and G. Apply the proportion clue: persons between G and O = 2 x persons between G and B. The only seat number for K that satisfies all three together (with O at seat 4) is K = 12, which gives G = 11 and B = 7.

  5. Substituting back: H = K + 3 = 15 (the last seat, so Total = 15), and M = K + 2 = 14.

  6. Verify the proportion clue with these seats: persons between G (seat 11) and O (seat 4) = 6, persons between G (seat 11) and B (seat 7) = 3, and 6 = 2 x 3. Consistent, and the "not more than three to the right of H" limit holds since H is last.

RESULT: The final left-to-right order is _ V _ O _ _ B _ _ _ G K _ M H, with M at seat 14 and O at seat 4. The persons strictly between them number |14 - 4| - 1 = 9.

CROSS-CHECK: Recount independently - the seats lying strictly between seat 4 and seat 14 are seats 5 through 13, which is 9 seats, confirming the count of nine.

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