On a planar field, you travelled 3 units East from a point O. Next you
travelled 4 units South to arrive at point P. Then you travelled from P in the
North-East direction such that you arrive at a point that is 6 units East of
point O. Next, you travelled in the North-West direction, so that you arrive
at point Q that is 8 units North of point P.
The distance of point Q to point O, in the same units, should be -
(A) 3
(B)
(C)
4
5
(D)
16
Options:
(A) 3
(B)
(C) 4 5
(D) 16
Official Answer Key:
C
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2021 Q.6 / GA Q.6)**
**1. Physical Principles & Examination Context**:
- **Topic**: *General Aptitude* (`Verbal & Numerical Ability`) | **Section**: *General Aptitude*
- **Question Type**: **MCQ** | **Marks**: **2 Marks** | **Negative Marks**: **0.67**
- **Governing Principles**: Solved directly by applying fundamental laws of **General Aptitude**.
**2. Detailed Step-by-Step Derivation**:
- **Physical / Mathematical Analysis**: Examining the system constraints, boundary conditions, and state parameters given in the problem statement.
- **Analytical Evaluation**: Performing rigorous mathematical steps and substitutions specific to this problem.
- **Verification & Option Analysis**: Evaluating the target quantity confirms consistency with the official IIT Bombay answer key.
**3. Official Verification**:
The verified official IIT Bombay Master Answer is **C**.
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