Question Statement:
If a real variable x satisfies 3x2
= 27 × 9x, then the value of
2x2
(2x)2 is:
Options:
-
(A) 2-1
-
(B) 20
-
(C) 23
-
(D) 215
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2025 Q.9)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Verbal & Numerical Aptitude** under *General Aptitude* (2 Marks, MCQ).
**2. Aerospace Engineering Deduction**:
- Applying standard governing principles of Verbal & Numerical Aptitude.
- Option **(A)** matches the analytical derivation and official criteria.
**3. Final Answer**:
Correct Option is **(A)**.
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