NIMCET 2013 — Reasoning PYQ

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Question

NIMCET 2013 — Reasoning PYQ

NIMCET | Reasoning | 2013

If there are two steps in between the steps on which $A$ and $D$ are standing and $C$ is standing on Step $6$ , $A$ must be standing on which of the following steps?

Choose the correct answer:

Explanation

Solving

Step 1: Use the fixed constraints from the main direction

$A = C - 2$
$B = D + 1$

Step 2: Apply the condition $C = 6$

If $C = 6$ , then $A = 6 - 2 = 4$ .
So, $A$ is on Step $4$ .

Step 3: Verify the "two steps in between $A$ and $D$ " condition

The number of steps between two positions $x$ and $y$ is given by $|x - y| - 1$ .
Here, $A = 4$ . Let's find $D$ :
- Case 1: $D$ is below $A$ .
  
  $4 - D - 1 = 2 \implies 3 - D = 2 \implies D = 1$
  
  If $D = 1$ , then $B = D + 1 = 2$ . (This is Possible).
- Case 2: $D$ is above $A$ .
  
  $D - 4 - 1 = 2 \implies D - 5 = 2 \implies D = 7$
  
  (Not possible as there are only $6$ steps).

Conclusion: Since $C = 6$ directly dictates that $A = 6 - 2$ , $A$ must be on Step $4$ .