Mindyard | 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 15 offices less than J. How many offices does A have? 23, 20, 18, 5, 13

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 15 offices less than J.

How many offices does A have?

Options

Correct Answer :

Option A

Solution :

The correct option is 23.

Let's analyze the given information step-by-step to determine the arrangement and number of offices in each building.

1. Understanding the Layout:
- There are two parallel rows containing 6 buildings each.
- Row 1: A, B, C, D, E, F facing East.
- Row 2: J, K, L, M, N, O facing West.
- Facing directions:
- For Row 1 (East facing): "Right" is towards the bottom/south and "Left" is towards the top/north.
- For Row 2 (West facing): "Right" is towards the top/north and "Left" is towards the bottom/south.

2. Deducing Positions in Row 2:
- F has 22 offices and is second from either end in Row 1.
- The difference between offices of F and L is 5:

$| 22 - L | = 5$

Thus, L can have 17 or 27 offices. Since L has a prime number of offices, L must have 17 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 the number of buildings to the left of L.
- Placing L and M in Row 2 consistent with the rules gives:
Row 2 positions from Top to Bottom (1 to 6):
- Position 1 (Top): N
- Position 2: L (17 offices)
- Position 3: M
- Position 4: O
- Position 5: K (12 offices)
- Position 6 (Bottom): J

3. Deducing Positions in Row 1:
- Since K (which has 12 offices) is second to the left of J, J is at Position 6 and K is at Position 5.
- C is third to the right of B (so B is at Position 1 and C is at Position 4).
- D is at Position 6, F is at Position 2, E is at Position 5, and A is at Position 3.
- Row 1 positions from Top to Bottom (1 to 6):
- Position 1: B
- Position 2: F (22 offices)
- Position 3: A
- Position 4: C (16 offices)
- Position 5: E
- Position 6: D

4. Calculating the Number of Offices:
- L = 17
- K = 12
- Difference between K and L is equal to offices B has:

$B = 17 - 12 = 5$

- C = 16
- J has a perfect square number of offices and J > D.
- M has 15 offices less than J:

$M = J - 15$

- Since maximum offices is 28 and minimum is 5, J = 25 (since 25 is a perfect square between 5 and 28).
- Therefore:

$J = 25$

$M = 25 - 15 = 10$

- N has less offices than L (17). O has two offices less than N. Thus, N = 9 and O = 7.
- Difference between offices of O and A is equal to M (10):

$| A - O | = M$

$| A - 7 | = 10$

- Since the number of offices must be positive and valid:

$A = 7 + 10 = 23$

Hence, building A has 23 offices.

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