Question:
Select the missing number from the given 3×3 matrix:
| 6 | 8 | 7 |
| 36 | 64 | 49 |
| 42 | 72 | ? |
दिए गए 3×3 आव्यूह (मैट्रिक्स) में लुप्त संख्या ज्ञात करें:
| 6 | 8 | 7 |
| 36 | 64 | 49 |
| 42 | 72 | ? |
Options:
- 56
- 54
- 58
- 60
- 56
- 54
- 58
- 60
Correct Answer: a)
Explanation:
Looking column-wise:
Column 1: \(6 + 36 = 42\) (or \(6^2 + 6 = 42\))
Column 2: \(8 + 64 = 72\) (or \(8^2 + 8 = 72\))
Column 3: Row 1 + Row 2 = \(7 + 49 = 56\) (or \(7^2 + 7 = 56\)).
Hence, the missing number is 56 (Option a).
स्तंभवार देखने पर:
स्तंभ 1: \(6 + 36 = 42\)
स्तंभ 2: \(8 + 64 = 72\)
स्तंभ 3: \(7 + 49 = 56\)
अतः लुप्त संख्या 56 है (विकल्प a)।