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 building has the maximum offices?

Options

A

L

B

Building adjacent to D

C

A

D

The one which is constructed immediate right of F

E

J

Show Answer

Correct Answer :

Option E

J

Solution :

To determine which building has the maximum number of offices, let's analyze the given information step-by-step to deduce the positions and number of offices for each building.

1. Understanding the Layout:

• Row 1 (Facing East): A, B, C, D, E, F
• Row 2 (Facing West): J, K, L, M, N, O

2. Calculating the Number of Offices:

F: Given directly as 22 offices.
L: The difference between the offices of F and L is 5, and L has a prime number of offices.
|22-L|=5L=17 (since 17 is prime).
K: Given directly as 12 offices.
B: The difference between K and L equals B's offices.
B=17-12=5 offices.
C: Given directly as 16 offices.
J & M: The number of offices in J is a perfect square, J has more offices than D, and no building has more than 28 offices or less than 5 offices. Since M has 15 offices less than J (M=J-15), and M5, we have J20.
The only perfect square between 20 and 28 is 25.
Therefore, J = 25 offices and M = 10 offices.

Summary of Office Counts:

• J = 25
• F = 22
• L = 17
• C = 16
• K = 12
• M = 10
• B = 5

Comparing all calculated building values, J has the highest number of offices (25 offices).

The correct option is J.

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