Direction : Read the following information carefully and answer the questions…
2021
Direction : 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?
- A.
L
- B.
Building adjacent to D
- C.
A
- D.
The one which is constructed immediate right of F
- E.
J
Show answer & explanation
Correct answer: E
Concept
In an arrangement puzzle that assigns each building a different office count, the office numbers are fixed not by position but by the numeric clues attached to them: a clue may give an exact value, a relationship ("15 less than"), or a property (prime, perfect square, multiple of a number). The reliable method is to pin every numeric fact independently, convert each property into the small set of values it allows inside the permitted range, eliminate using the other clues, and only then compare the totals.
Application
The permitted range for every building is 5 to 28 offices, all distinct. Pin the values one clue at a time:
Direct values are given: F = 22, K = 12, C = 16.
L is prime and differs from F by 5, so L is 22 - 5 = 17 or 22 + 5 = 27. Only 17 is prime, so L = 17.
E is a multiple of 11 within 5-28, leaving 11 or 22. Since 22 already belongs to F, E = 11.
B equals the difference between K and L: |12 - 17| = 5, so B = 5.
J is a perfect square within 5-28: the candidates are 9, 16 and 25. M is 15 less than J, and M must be at least 5, which forces J to be at least 20. The only perfect square that large is 25, so J = 25 and M = 25 - 15 = 10.
The remaining buildings are bounded below 25: N is less than L = 17, O = N - 2 (both under 17), A is tied to O by |O - A| = M = 10 (so A is at most 24), and D is less than J. None of these can reach 25.
Cross-check
Collecting the totals: J = 25, F = 22, L = 17, C = 16, K = 12, E = 11, M = 10, B = 5, with N, O, A and D all capped below 25. The single largest value is J = 25, and it is forced uniquely by the perfect-square clue combined with M being at least 5. Hence the building with the maximum number of offices is J.