Consider the following functions for non-zero positive integers, p and q.
f(p, q) = p × p × p × … … … × pᇣᇧᇧᇧᇧᇧᇧᇤᇧᇧᇧᇧᇧᇧᇥ
terms
= p; f(p, 1) = p
g(p, q) = p⫶⫶⫶(౫౦ ౪ ౪౨ౣ౩)
; g(p, 1) = p
Which one of the following options is correct based on the above?
Options:
(A) f(2,2) = g(2,2)
(B) f(g(2,2), 2) < f൫2, g(2,2)൯
(C) g(2,1) ≠ f(2,1)
(D) f(3,2) > g(3,2)
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2022 Q.8)**
**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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