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 statement is true?

Options

A

M has the least number of offices

B

A is constructed fourth to the right of E

C

D faces the building constructed adjacent to L

D

N has more offices than B

E

J and K are constructed adjacent to each other

Show Answer

Correct Answer :

Option D

N has more offices than B

Solution :

The correct answer is N has more offices than B.


Step-by-Step Explanation and Seating Arrangement:


Let's analyze the given instructions to arrange the 12 buildings in two parallel rows facing each other and determine the number of offices in each building.


1. Understanding the Rows and Directions:

Row 1: Buildings A, B, C, D, E, and F facing East (from top to bottom, "right" means moving down towards south/bottom, and "left" means moving up towards north/top).

Row 2: Buildings J, K, L, M, N, and O facing West (from top to bottom, "right" means moving up towards north/top, and "left" means moving down towards south/bottom).

• Number of offices in each building ranges between 5 and 28 (inclusive).


2. Analyzing Row 2 (Facing West):

• F (with 22 offices) is second from either end in Row 1.

• F has 22 offices. Since the difference between the offices of F and L is 5, L can have 22 - 5 = 17 or 22 + 5 = 27 offices. L has a prime number of offices, so L has 17 offices.

• K has 12 offices. The difference between offices of K and L is |12-17|=5. So, B has 5 offices.

• M is second to the right of the building with 15 offices. The number of buildings to the right of M is one less than to the left of L.

• Evaluating positions from top to bottom (Positions 1 to 6):

- Row 2 arrangement from position 1 to 6 (North to South / Top to Bottom): L, K, O, J, M, N.

- Positions check for Row 2 (facing West, where Right is Top/Up, Left is Bottom/Down):

• L is at Position 1 (Top). Left of L (down) has 5 buildings.

• Number of buildings right of M = 5 - 1 = 4 buildings. So M is at Position 5.

• The building with 15 offices is at Position 3 (O has 15 offices? Let's check below).

• K (12 offices) is second to the left of J (Position 4). So K is at Position 2.

• Thus, Row 2 buildings in positions 1 to 6 are: L, K, O, J, M, N.


3. Determining Offices for Row 2:

• L = 17 offices (Prime number).

• K = 12 offices.

• J: J's offices are a perfect square value, greater than D, and J = M + 15. Since maximum offices is 28, J must be 25 (as 25 - 15 = 10, perfect square 25 ⊢ 52). Thus, J has 25 offices.

• M = 25 - 15 = 10 offices.

• N and O: N has less offices than L (17). O has 2 offices less than N. From the clue, building at position 3 has 15 offices, so N = 15 offices and O = 13 offices.

• Thus, offices in Row 2: L(17), K(12), O(13), J(25), M(10), N(15).


4. Analyzing Row 1 (Facing East):

• Row 1 facing East (Right is South/Down, Left is North/Up).

• C is third to the right of B (so B is at Position 1, C is at Position 4).

• C has 16 offices.

• B has 5 offices and does not face M (M is at Position 5, B is at Position 1).

• Number of buildings between J and L in Row 2 is 2 (between pos 1 and pos 4). So buildings between D and F is also 2. Since F is second from an end (Position 2), D must be at Position 5.

• E is to the right of the building with 18 offices. E is at Position 6, A is at Position 3 (with 18 offices).

• E has offices in a multiple of 11 (max 28), so E has 22 offices (or 11 offices, matching constraints).

• Difference between O (13) and A (18) is |13 - 18| = 5, which matches details.

• Thus, Row 1 buildings from top to bottom (1 to 6) are: B(5), F(22), A(18), C(16), D, E.


5. Comparing Offices of N and B:

• Offices in N = 15

• Offices in B = 5

• Clearly, N (15 offices) has more offices than B (5 offices).


Therefore, the statement "N has more offices than B" is TRUE.

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