NIMCET 2012 — Reasoning PYQ

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Question

NIMCET 2012 — Reasoning PYQ

NIMCET | Reasoning | 2012

Directions : Read the following passage carefully and answer the questions.
Six boys A, B, C, D, E and F are marching in a line. They are arranged according to their heights, the tallest being at the back and the shortest in the front. F is between B and A.E is shorter than D but taller than C who is taller than A. E and F have two boys between them. A is not shortest among them.
Who is next to the shortest?

Choose the correct answer:

Explanation

1. Analyze the Height Relationship:

Based on the text:

$E < D$ (E is shorter than D)
$C < E$ (E is taller than C)
$A < C$ (C is taller than A)

Combining these, we get a partial chain: $A < C < E < D$ .

2. Incorporate the position of F:

"F is between B and A." This means the sequence is either B-F-A or A-F-B.
"E and F have two boys between them."

3. Test the Placement:

Since $A < C < E < D$ , the boys $C, E, D$ are definitely taller than $A$ . If we place $F$ and $E$ with two spots between them, let's try the only logical arrangement that fits all six:

If F is at position $2$ :
- There must be two boys between F (pos 2) and E (pos 5).
- So, E is at position $5$ .
- Since $F$ is between $B$ and $A$ , and $A$ is taller than $B$ (because "A is not shortest"), then B must be at $1$ and A must be at $3$ .
- This gives us: $B(1), F(2), A(3)$ .

4. Fill in the remaining spots:

We have positions $4$ and $6$ left for $C$ and $D$ .
Since $A < C < E < D$ , and $A$ is at $3$ , $E$ is at $5$ :
- C must be at position $4$ .
- D must be at position $6$ .

Final Height Order (Shortest to Tallest):

B (Shortest)
F
A
C
E
D (Tallest)

5. Answer the Question:

The shortest boy is B (position 1). The person "next to the shortest" is the one at position 2, which is F.

Conclusion:

F is next to the shortest.

Correct Option:

(d) F