There are five persons A, B, C, D, E..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep."> There are five persons A, B, C, D, E..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep." /> There are five persons A, B, C, D, E..." - Step-by-step solution, answer key, and detailed explanation on MCA Prep." />

Question 87

Logical Reasoning Puzzles Easy

Direction: Questions are based on the following:<br /> There are five persons A, B, C, D, E standing on six steps numbered 1, 2, 3, 4, 5 and 6 from the bottom. At most one person is standing on each step. The step number, on which A is standing, is two less than that of C. Step number on which B is standing is one more than that of D.<br /> 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?

(A) 3
(B) 4
(C) 5
(D) 6
✓ Correct Answer: Option B Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Quick Solution

This puzzle can be solved with a quick, direct deduction using the specific conditions given in the second part of the question.


1. Use the Main Clues to Find A's Position

  • The question provides a specific condition to start with: "C is standing on Step 6".
  • We also have a general rule from the initial description: "The step number, on which A is standing, is two less than that of C". This can be written as the equation: A = C - 2.

By substituting C's definite position (6) into the rule, we can directly find A's position:

A = 6 - 2
A = 4

This immediately tells us that A must be standing on Step 4.


2. Verification (Optional)

We can quickly check if this is consistent with the other rules to confirm our answer:

  • The clue "two steps in between A and D" means their step numbers are 3 apart. If A is on 4, D must be on step 1.
  • The clue "B is one more than D" means if D is on 1, B must be on step 2.
  • The final positions are C=6, A=4, B=2, D=1. This is a valid arrangement with no conflicts.


Final Answer: A must be standing on step 4.

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