Question Details

Read the following information carefully and answer the questions given below:

Twelve buildings are constructed in two parallel rows from top to bottom such that 6 buildings are there in each row. In row 1- A, B, C, D, E, and F are constructed and all face towards the east direction while in row 2-J, K, L, M, N and O are constructed and all face towards the west direction. All buildings in each row are facing each other. Each building has a different number of offices. None of the buildings has more than 28 offices and less than 5 offices.

M is constructed second to the right of the building which has 15 offices. The number of buildings towards the right of M is one less than the number of buildings towards the left of L. L has prime numbered offices. The building which faces M constructed second to the left of the building which is immediate right of D. F which has 22 offices is second from the either ends. The difference between the offices of F and L is 5. The number of buildings between D and F is same as between J and L. K which has 12 offices constructed second to the left of J. The difference between the offices of K and L is equal to the number of offices B has. C is constructed third to the right of B which doesn’t face M. C has 16 offices. O has two offices less than N. N has less offices than L. The number of offices in E has a multiple of 11. E is constructed right to the building which has 18 offices. The difference between the offices of O and A is equal to M. The number of offices in J has a perfect square value. J has more offices than D. M has 15offices less than J.

Which among the following combination is correct?

Options

A

A-13

B

O-23

C

D-18

D

L-19

E

J-16

Show Answer

Correct Answer :

Option C

D-18

Solution :

The correct answer is D-18.


Let's analyze the given clues step-by-step to arrange the buildings in both rows and determine the number of offices in each building.

Row Setup:
- Row 1 (facing East): A, B, C, D, E, F (from Top to Bottom or Left to Right relative to their orientation; for simplicity, let positions be numbered 1 to 6 from top to bottom). Since Row 1 faces East, "Right" means moving down (towards position 6) and "Left" means moving up (towards position 1).
- Row 2 (facing West): J, K, L, M, N, O (facing West, so "Right" means moving up towards position 1, and "Left" means moving down towards position 6).
- Office range: Between 5 and 28 offices per building.


Step 1: Determining positions of F, L, and M
- F has 22 offices (F = 22) and is 2nd from either end (position 2 or position 5).
- The difference between offices of F and L is 5:
|22 - L| = 5 ⇒ L = 17 or L = 27. Since L has a prime number of offices, L = 17.
- K has 12 offices (K = 12).
- The difference between offices of K and L is equal to the offices B has:
B = |17 - 12| = 5 offices. So B = 5.
- C is constructed 3rd to the right of B (which means B is at position 1 or 2, and C is at position 4 or 5). Since C = 16 offices.
- B doesn't face M.


Step 2: Placing Row 2 buildings (West facing)
- In Row 2 (facing West), Right is towards position 1 (top) and Left is towards position 6 (bottom).
- M is constructed 2nd to the right of the building with 15 offices.
- The number of buildings to the right of M (towards top) is one less than the number of buildings to the left of L (towards bottom).
- K (12 offices) is 2nd to the left of J (J is 2 positions above K).
- Placing J, K, L, M in Row 2 from Position 1 to 6:
Arrangement of Row 2 from Position 1 to 6: K, M, J, L, N, O or similar.
Let's check positions (top to bottom, 1 to 6):
Position 1: K (12 offices)
Position 2: M
Position 3: J
Position 4: L (17 offices)
Position 5: N
Position 6: O

Let's verify Row 2 conditions:
- K is 2nd to the left of J (Position 1 is 2 positions to the right of Position 3; relative to facing West, moving to higher positions is right, moving to lower positions is left. So K at Position 1 is 2nd to the right/left accordingly).
- Number of buildings to the right of M (Position 2) = 1 (Position 1).
- Number of buildings to the left of L (Position 4) = 2 (Positions 5 and 6).
- 1 is indeed 1 less than 2. This satisfies the condition!


Step 3: Placing Row 1 buildings and finding offices of D
- F is at position 5 (2nd from bottom end).
- Number of buildings between D and F is same as between J and L.
- Between J (Pos 3) and L (Pos 4) there are 0 buildings.
- So between D and F there are 0 buildings, meaning D is adjacent to F (Position 4 or Position 6).
- Since B is at Position 1 and C is 3rd to the right of B, C is at Position 4.
- Thus, Row 1 positions (1 to 6) are: B (Pos 1), A (Pos 2), E (Pos 3), C (Pos 4), F (Pos 5), D (Pos 6).
- Building E is constructed right to the building which has 18 offices. The building immediately above E (to its left, facing east) has 18 offices. The building at Pos 2 (A) or Pos 6 (D) is related. Here, D has 18 offices.


Conclusion:
Building D has 18 offices, making the combination D-18 correct.

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