Directions : Study the following information carefully to answer the given…

2022

Directions : Study the following information carefully to answer the given questions:
Twenty-one persons have different designations i.e., CEO, MD, DGM, AGM, Manager and Clerk in a bank. The order of seniority is the same as given above i.e., CEO is the senior-most designation and Clerk is the junior-most designation. The number of persons working at any position is one more than its just senior post. For example- If three persons work as an AGM than four persons work as manager and so on.
P, T and W work at same post. S is senior to W. X is senior to U who does not designated as AGM. R and V work at same post. Neither B nor H work as manager but both work at same post. D, E and H work at same post but junior to Q and T. Q is junior to U. Same number of post is senior to Q and T. X is junior to N but senior to R. A, L and M work at same post. W does not work as Manager. R is neither Manager nor Clerk. Z and Y are senior to G and O.
Now these persons are transferred to different department i.e., HR, Marketing and Legal according to the given conditions below:
I. No transfer for top two posts and they become the leaders of HR, Marketing and Legal respectively according to the alphabetical series.
II. Persons whose name starts with a consonant which comes before M in the alphabetical series transfer to HR. III. Persons whose name starts with a consonant which comes after M in the alphabetical series transfer to Marketing.
IV. Rest will go to Legal department.

Who among the following is working with M?

  1. A.

    Z

  2. B.

    H

  3. C.

    W

  4. D.

    Y

  5. E.

    Both Z and Y

Show answer & explanation

Correct answer: E

Concept

In a designation-ranking puzzle, first fix the SIZE of every rank, then place people using the comparative clues. Here the rule "each post holds one more person than the post just senior to it" turns the 21 people into a fixed pyramid of seats; only once the seat-counts are known can the seniority comparisons be resolved into exact ranks.

Note on the wording: "working with M" here means sharing M's designation/post (the people seated at the same rank), exactly as the clues like "A, L and M work at same post" use the phrase. It is not about the later HR/Marketing/Legal department - that interpretation leaves no listed answer.

Step 1 - How many sit at each post

Let the senior-most post (CEO) hold k people. Then from CEO down to Clerk the posts hold k, k+1, k+2, k+3, k+4, k+5 people. Their sum is 6k + 15 = 21, so k = 1.

Seats per post, senior to junior:

  1. CEO - 1 seat

  2. MD - 2 seats

  3. DGM - 3 seats

  4. AGM - 4 seats

  5. Manager - 5 seats

  6. Clerk - 6 seats

Step 2 - Anchor the middle with the tied clues

  1. "Same number of posts are senior to Q and T" means Q and T share one rank.

  2. P, T, W share a post, so P, T, W and Q sit together; this block of 4 needs a 4-seat post, which is AGM (consistent with W not being a Manager).

  3. B and H share a post and neither is a Manager; D, E, H share a post too, so B, D, E, H form a block of 4 that is junior to Q and T - the 4-or-more-seat post below AGM that fits is the 6-seat Clerk rank.

Step 3 - Resolve the chain above and below

  1. X is junior to N but senior to R, and X is senior to U who is senior to Q (the AGM rank): so N takes the single CEO seat, with X above U and U above AGM.

  2. R is neither Manager nor Clerk, and R and V share a post; with X above R, the 3-seat DGM holds R, U and V.

  3. Only the 2-seat MD rank is left above DGM, taking X and S (S is senior to W), and N is CEO.

  4. A, L, M share a post, and Z and Y are senior to G and O. The people still unplaced fill Manager (5 seats) and Clerk (6 seats): Manager = A, L, M, Y, Z and Clerk = B, D, E, G, H, O.

Step 4 - Read off the answer

M sits at the Manager post, a 5-seat rank whose occupants are A, L, M, Y and Z. The colleagues sharing M's post therefore include both Y and Z, so among the choices the people working with M are Y and Z taken together.

Cross-check

The final seat-counts are CEO 1, MD 2, DGM 3, AGM 4, Manager 5, Clerk 6, summing to 21, and every clue holds: S above the AGM block, R neither Manager nor Clerk at DGM, B and H not Managers at Clerk, Z and Y above the Clerks G and O. The arrangement is unique, confirming the result.

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