The missing number in the box is
| 3 | 7 | 52 |
| 5 | 11 | 126 |
| ? | 9 | 107 |
is
[amp_mcq option1=”6″ option2=”18″ option3=”26″ option4=”36″ correct=”option3″]
This question was previously asked in
UPSC CAPF – 2012
Row 1: (3, 7, 52)
Row 2: (5, 11, 126)
Row 3: (?, 9, 107)
Observing the pattern: The third number (c) appears to be related to the squares of the first two numbers (a and b). Let’s test the pattern: c = b^2 + a.
Row 1: 7^2 + 3 = 49 + 3 = 52. This matches the third number.
Row 2: 11^2 + 5 = 121 + 5 = 126. This also matches the third number.
Applying this pattern to the third row: Let the missing number be x.
9^2 + x = 107
81 + x = 107
x = 107 – 81
x = 26.