Question Details

Directions (91-95): Study the following information carefully and answer the questions given below:

Seven persons ( A-G) work in the same organization on seven different designations (MD, CEO, SR. MGR, MGR, PO, Clerk and Typist ) but not necessarily in the same order. The designations are in the decreasing order such that MD is the senior-most position and Typist is the junior-most position.

The numbers of persons senior to A is same as the numbers of persons junior to A. B is junior to A and just senior to C. E is junior to A. The numbers of persons junior to C is same as the numbers of persons designated between B and D. At most one person between G and F. F is not the senior most.

The numbers of persons between F and B is same as the numbers of persons between ___ and ___.

Options

A

G, F

B

E, A

C

B, C

D

A, F

E

None of these

Show Answer

Correct Answer :

Option B

E, A

E, A

Solution :

To solve this puzzle, we first list the seven designations in decreasing order of seniority (from senior-most to junior-most):
1. MD (Senior-most)
2. CEO
3. SR. MGR
4. MGR
5. PO
6. Clerk
7. Typist (Junior-most)

Let us analyze the clues step-by-step to place the seven persons (A, B, C, D, E, F, G) into these positions:

Step 1: Position of A
The clue states: "The number of persons senior to A is same as the number of persons junior to A."
Since there are 7 positions in total, A must occupy the exact middle position (4th position).
Therefore, A is MGR.

Step 2: Position of B and C
The clue states: "B is junior to A and just senior to C."
Since A is 4th, the positions junior to A are 5th (PO), 6th (Clerk), and 7th (Typist).
Since B is just senior to C, they must occupy consecutive positions. The only consecutive positions junior to A are:
Case 1: B is 5th (PO) and C is 6th (Clerk).
Case 2: B is 6th (Clerk) and C is 7th (Typist).

Step 3: Analyze "The numbers of persons junior to C is same as the numbers of persons designated between B and D"
Let us test Case 1: B is 5th (PO) and C is 6th (Clerk).
- The number of persons junior to C (who is 6th) is 1 (the 7th position).
- Thus, the number of persons between B (5th) and D must be 1.
- This means D could be in 3rd position (SR. MGR). Let's check: between 3rd and 5th, there is exactly 1 person (4th). This works.
- (D cannot be 7th because that would mean 1 person between 5th and 7th, but C is at 6th and B and D would have 1 person (C) between them. But that would make D 7th, which is junior to C, so C wouldn't have only 1 person junior to him if Typist is D. Wait, if D is 7th, number of junior to C (6th) is 1 (which is D). The number of persons between B (5th) and D (7th) is 1 (which is C). This also mathematically matches. But let's check further.)
Let us test Case 2: B is 6th (Clerk) and C is 7th (Typist).
- The number of persons junior to C (7th) is 0.
- Thus, the number of persons between B (6th) and D must be 0.
- This means D must be adjacent to B, so D would be 5th (PO) since C is 7th.
- Let's check E: "E is junior to A". If B is 6th, C is 7th, and D is 5th, there are no remaining positions junior to A for E to occupy. So Case 2 is invalid.
Therefore, Case 1 is correct: B is PO (5th) and C is Clerk (6th).

Step 4: Placing D and E
- In Case 1, C is 6th, so the number of persons junior to C is 1 (the person at 7th position).
- The number of persons between B (5th) and D must be 1.
- If D is 3rd (SR. MGR), the person between B (5th) and D (3rd) is A (4th). This gives exactly 1 person between them.
- If D were 7th (Typist), the person between B (5th) and D (7th) is C (6th). This also gives exactly 1 person between them. Let us check if D can be 7th: if D is 7th, then E (who is junior to A) must occupy one of the positions junior to A. The positions junior to A (4th) are 5th (B), 6th (C), and 7th (D). Since all three junior positions are filled by B, C, and D, there is no place for E junior to A.
- Thus, D cannot be 7th. D must be 3rd: D is SR. MGR (3rd).
- Since E must be junior to A, and the only remaining position junior to A is 7th (Typist), we have: E is Typist (7th).

Step 5: Placing G and F
The remaining empty positions are 1st (MD) and 2nd (CEO).
- The clue states: "F is not the senior most." Thus, F cannot be 1st (MD).
- Therefore, F is CEO (2nd).
- This leaves the 1st position for G: G is MD (1st).
- Let's verify the condition: "At most one person between G and F." Since G is 1st and F is 2nd, there are 0 persons between them, which satisfies "at most one".

Final Arrangement:
1. MD: G
2. CEO: F
3. SR. MGR: D
4. MGR: A
5. PO: B
6. Clerk: C
7. Typist: E

Answering the Question:
- F is at position 2 (CEO) and B is at position 5 (PO).
- The number of persons between F and B is 2 (which are D and A at positions 3 and 4).
- Now let us check the given options to find which pair has exactly 2 persons between them:
- For Option (B) "E, A": E is at position 7 (Typist) and A is at position 4 (MGR). The number of persons between E and A is 2 (which are B and C at positions 5 and 6).
Since the number of persons between F and B is equal to the number of persons between E and A, the correct option is E, A.

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