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 combination is correct?
- A.
A-13
- B.
O-23
- C.
D-18
- D.
L-19
- E.
J-16
Show answer & explanation
Correct answer: C
Concept.
This is an office-allotment puzzle: each named building holds a distinct, whole number of offices within a fixed band (at least 5, at most 28). The way to crack such a puzzle is not to guess seats but to translate every numeric hint into an equation or an inequality, anchor on the values that are stated outright, then propagate the constraints until each building's office count is forced. The 'which combination is correct' question is then answered purely from the resolved office counts — the row/seat layout is not needed to settle it.
Application — fix the office counts step by step.
Given outright: one building holds 22, one holds 12, one holds 16.
L is prime and differs from the 22-office building by 5, so L is 17 or 27; only 17 is prime — hence L = 17.
The gap between the 12-office building and L equals B's count: |12 − 17| = 5, so B = 5.
The perfect-square building is 25 (9 is too small once its dependent value goes negative), and M is 15 fewer than it, giving 25 and M = 10.
The multiple-of-11 building is 11 (22 is already used), fixing that value at 11.
One building trails another by 2, that lower one is 2 below the 17-office building's neighbour, and a difference of 10 ties two more counts together; combined with the requirement that a 15-office and an 18-office building must both exist, the remaining counts are forced: 23, 18, 15, 13.
Resolving every building gives a single consistent set of office counts:
A = 23, B = 5, C = 16, D = 18, E = 11, F = 22
J = 25, K = 12, L = 17, M = 10, N = 15, O = 13
Cross-check. Every clue holds against this set: the prime, the perfect square, the multiple of 11, each stated difference, the 15- and 18-office anchors, and the all-distinct rule — and exactly one assignment survives, so the office counts are unique. Testing the offered pairings against it, the only pairing whose building genuinely carries the stated office count is the one matching D with 18, since D resolves to 18 offices.