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 ___.
Correct Answer :
E, A
Solution :
To find the correct answer, we will step-by-step determine the designations of all seven persons (A, B, C, D, E, F, and G).
First, let us list the seven designations in decreasing order of seniority:
1. MD (Senior-most)
2. CEO
3. SR. MGR
4. MGR
5. PO
6. Clerk
7. Typist (Junior-most)
Now, we apply the given clues one by one:
Clue 1: "The numbers of persons senior to A is same as the numbers of persons junior to A."
Since there are 7 positions, the middle position must be A's position. Therefore, A is MGR (Position 4).
Clue 2: "B is junior to A and just senior to C."
Since A is at position 4, B and C must occupy consecutive junior positions below A. Thus, the possible pairs for (B, C) are:
- Case A: B = PO (5) and C = Clerk (6)
- Case B: B = Clerk (6) and C = Typist (7)
Clue 3: "E is junior to A."
E must occupy one of the positions junior to A (positions 5, 6, or 7).
- In Case B, positions 6 and 7 are occupied by B and C. Therefore, there would be no position junior to A left for E. Thus, Case B is invalid.
- In Case A, B is at 5 and C is at 6. The only remaining position junior to A is position 7. Therefore, E is Typist (7).
Clue 4: "The numbers of persons junior to C is same as the numbers of persons designated between B and D."
- In our current valid arrangement (Case A), C is Clerk (6). The number of persons junior to C is 1 (which is E).
- Therefore, there must be exactly 1 person between B (5) and D. Since B is at 5, D must be at position 3. Thus, D is SR. MGR (3).
Clue 5: "At most one person between G and F. F is not the senior most."
The remaining positions are MD (1) and CEO (2), which must be filled by G and F.
Since F is not the senior-most, F cannot be MD (1). Therefore, F is CEO (2) and G is MD (1).
This satisfies the condition that there is at most one person (in this case, 0 persons) between G and F.
The final order from senior-most to junior-most is:
1. MD - G
2. CEO - F
3. SR. MGR - D
4. MGR - A
5. PO - B
6. Clerk - C
7. Typist - E
Now, we find the number of persons between F and B:
- F is at position 2 and B is at position 5. The number of persons between them is 2 (D and A).
Let us check the option E, A:
- E is at position 7 and A is at position 4. The number of persons between them is also 2 (B and C).
Thus, the number of persons between F and B is the same as the number of persons between E and A.
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