Equal sized circular regions are shaded in a square sheet of paper of 1 cm side
length. Two cases, case M and case N, are considered as shown in the figures
below. In the case M, four circles are shaded in the square sheet and in the case
N, nine circles are shaded in the square sheet as shown.
What is the ratio of the areas of unshaded regions of case M to that of case N?
case M case N
Options:
(A) 2 : 3
(B) 1 : 1
(C) 3 : 2
(D) 2 : 1
Official Answer Key:
A
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2022 Q.10)**
**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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