The missing number in the box is 3 7 52 5 11 126 ?

The missing number in the box is

3752
511126
?9107

is

6
18
26
36
This question was previously asked in
UPSC CAPF – 2012
The missing number in the box is 26.
Let the numbers in each row be a, b, and c. We need to find a pattern relating a, b, and c.
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.
This type of question tests pattern recognition and basic arithmetic operations (squaring and addition). The key is to identify the relationship between the given numbers in the sequence or table.