Study the following information carefully and answer the question given below:…

2022

Study the following information carefully and answer the question given below:

Nine persons attend an event one after another. At most two persons attend the event before G. Three persons attend the event between C and G. Two persons attend the event between C and B. One person attends the event between B and K, and K attends after B. F attends the event just before L. There are as many persons who attend before L as there are who attend after H. E attends the event exactly between B and K. D attends the event before E.

How many persons attend the event between D and the one who attends just before K?

Answer: E. None of theseConceptLinear-arrangement puzzles are solved by anchoring the most constrained clue first, then layering the remaining clues onto fixed reference points. Each…

  1. A.

    Three

  2. B.

    Four

  3. C.

    Five

  4. D.

    One

  5. E.

    None of these

Attempted by 4 students.

Show answer & explanation

Correct answer: E

Concept

Linear-arrangement puzzles are solved by anchoring the most constrained clue first, then layering the remaining clues onto fixed reference points. Each clue gives either a fixed gap ("X persons between") or a fixed direction ("after / just before"). "N persons between two people" means their positions differ by N+1; "just before" means an adjacent pair with no gap; and a "between" clue can be read in either direction unless an order is also stated.

Application

Number the nine slots 1 (first to attend) to 9 (last). Apply the clues in order of how much they pin down:

  1. At most two persons attend before G, so G occupies slot 1, 2 or 3 — no later than the 3rd slot.

  2. Three persons sit between C and G, so the C–G gap spans 4 slots. If G were at slot 1 or 2, C would land at slot 5 or 6, but then no later clue can be satisfied consistently; only G at slot 3 with C at slot 7 fits every remaining clue.

  3. Two persons sit between C and B, so the C–B gap is 3. With C at slot 7, B must be at slot 4 (slot 10 does not exist).

  4. One person sits between B and K with K after B, so K is two slots after B: K at slot 6.

  5. E sits exactly between B (4) and K (6), so E is at slot 5; D attends before E, and the remaining early slot places D at slot 2.

  6. F is just before L (adjacent), and “as many before L as after H” fixes the ends: H at slot 1, F at slot 8, L at slot 9.

This gives the unique seating:

Slot

1

2

3

4

5

6

7

8

9

Person

H

D

G

B

E

K

C

F

L

Answer

The person just before K (slot 6) is the one at slot 5, namely E. D is at slot 2. The persons sitting strictly between slot 2 and slot 5 are at slots 3 and 4 — that is G and B, a count of two.

Cross-check

Re-verify the two boundary clues against the final order: persons before L = 8 and persons after H = 8 (equal, as required), and E (slot 5) is the exact midpoint of B (slot 4) and K (slot 6). The required count is two persons. Since two is not listed among Three, Four, Five or One, the correct choice is “None of these.”

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