Question Statement:
(A)
(B)
(C)
(D)
\cdot and © are two operators on numbers p and q such that
pOq = p-q, and p©q= pxq
Then, (9 O (6 @ 7)) 0(7 0(60 5))=
40
-26
-33
-40
Options:
-
(A)
-
(B)
-
(C)
-
(D) \cdot and © are two operators on numbers p and q such that pOq = p-q, and p©q= pxq Then, (9 O (6 @ 7)) 0(7 0(60 5))= 40 -26 -33 -40
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2021 Q.4 / GA Q.4)**
**1. Physical Principles & Examination Context**:
- **Topic**: *General Aptitude* (`Verbal & Numerical Ability`) | **Section**: *General Aptitude*
- **Question Type**: **MCQ** | **Marks**: **1 Mark** | **Negative Marks**: **0.33**
- **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 **D**.
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