NIMCET 2007 — Reasoning PYQ

To find out who is sitting in the exact center, let us map out the positions from Left to Right based on the given conditions. Let the positions be represented linearly.

Step 1: Analyze the first statement

"Father is to the left of son but to the right of grandfather."

• Since the Father is to the left of the Son, the arrangement looks like:

  $$\text{Father}\to \text{Son}$$

• Since the Father is also to the right of the Grandfather, the Grandfather must be placed to the left of the Father:

  $$\text{Grandfather}\to \text{Father}\to \text{Son}$$

Step 2: Analyze the second statement

"Mother is in right of daughter but left of grandfather."

• Since the Mother is to the left of the Grandfather, we place her directly before him:

  $$\text{Mother}\to \text{Grandfather}$$

• Since the Mother is to the right of the Daughter, the Daughter must be at the leftmost position:

  $$\text{Daughter}\to \text{Mother}$$

Step 3: Combine both arrangements

Now, combining both relational strings together, we get the complete linear order from left to right:

$$\text{Daughter}\to \text{Mother}\to \text{Grandfather}\to \text{Father}\to \text{Son}$$

Step 4: Identify the person in the center

There are a total of $5$ family members. The position of the center element is calculated as:

$$\text{Center Position}=\frac{5+1}{2}=3^{\text{rd}}\text{ position}$$

Looking at our final sequence, the person at the $3^{\text{rd}}$ position is the Grandfather.

Correct Answer:

The correct option is (b) Grandfather.