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.

How many persons designated between D and C?

Options

A

Two

B

Three

C

Four

D

One

E

None of these

Show Answer

Correct Answer :

Option A

Two

Two

Solution :

To find the number of persons designated between D and C, let us analyze the given information step-by-step to determine the unique ordering of the seven designations from senior-most to junior-most.

The designations in decreasing order of seniority are:
1. MD (Senior-most)
2. CEO
3. SR. MGR
4. MGR
5. PO
6. Clerk
7. Typist (Junior-most)

Step 1: Determine A's designation.
We are told that the number of persons senior to A is the same as the number of persons junior to A. Since there are seven positions, the middle position is the 4th position. Therefore, A must be the MGR (with 3 persons senior to him and 3 persons junior to him).

Step 2: Place B and C.
B is junior to A and just senior to C. Since A is at position 4 (MGR), the positions junior to A are PO (5), Clerk (6), and Typist (7). Since B is just senior to C, they must occupy consecutive positions junior to A. The only consecutive positions remaining junior to A are:
Case 1: B is PO (5) and C is Clerk (6).
Case 2: B is Clerk (6) and C is Typist (7).

Step 3: Analyze the condition: "The number of persons junior to C is same as the number of persons designated between B and D."
Let's test both cases:
- If Case 2 is true: C is Typist (7). The number of persons junior to C is 0. This means the number of persons designated between B (Clerk, 6) and D must be 0. Thus, D would have to be adjacent to B, meaning D is either PO (5) or Typist (7). But C is already Typist (7), so D must be PO (5). Let's see if this configuration fits the remaining clues: remaining designations for E, F, G are MD (1), CEO (2), SR. MGR (3). E is junior to A (MGR), which is a contradiction because the only positions junior to A are PO, Clerk, Typist, which are occupied by D, B, C respectively. Thus, Case 2 is invalid.
- If Case 1 is true: B is PO (5) and C is Clerk (6). The number of persons junior to C (Clerk) is 1 (the Typist). Therefore, the number of persons designated between B (PO) and D must also be 1. Since B is at position 5 (PO), D must be at position 3 (SR. MGR) so that there is exactly one person (MGR, position 4) between them.

Step 4: Place the remaining persons.
Currently, we have:
1. MD: [Vacant]
2. CEO: [Vacant]
3. SR. MGR: D
4. MGR: A
5. PO: B
6. Clerk: C
7. Typist: [Vacant]

We are given that E is junior to A. The only vacant position junior to A is Typist (7). Therefore, E must be the Typist.
Now, the vacant positions are MD (1) and CEO (2). The remaining persons to place are F and G. We are told "F is not the senior most," which means F cannot be the MD (1). Thus, F must be the CEO (2), and G must be the MD (1).
We also check the condition: "At most one person between G and F." Here G is MD (1) and F is CEO (2), so there are 0 persons between them, which satisfies the condition.

The final designations are:
1. MD: G
2. CEO: F
3. SR. MGR: D
4. MGR: A
5. PO: B
6. Clerk: C
7. Typist: E

Step 5: Answer the question.
We need to find the number of persons designated between D (SR. MGR, position 3) and C (Clerk, position 6). The persons between them are A (MGR) and B (PO). Therefore, there are exactly two persons (A and B) designated between D and C.

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