Question : Directions: Select the option that can replace the question mark (?) in the second row.
Row 1: 5, 6, 2, 4, 81
Row 2: 1, 3, 2, 4, ?
Row 3: 2, 3, 1, 5, 39
Option 1: 30
Option 2: 52
Option 3: 40
Option 4: 73
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Correct Answer: 30
Solution :
Given:
Row 1: 5, 6, 2, 4, 81
Row 2: 1, 3, 2, 4, ?
Row 3: 2, 3, 1, 5, 39
The sum of the square of the first four numbers equals the fifth number –
In row 1: 5
2
+ 6
2
+ 2
2
+ 4
2
= 25 + 36 + 4 + 16 = 81
In row 3: 2
2
+ 3
2
+ 1
2
+ 5
2
= 4 + 9 + 1 + 25 = 39
Similarly, follow the same pattern in row 2: 1
2
+ 3
2
+ 2
2
+ 4
2
= 1 + 9 + 4 + 16 = 30
So, the required missing number is 30. Hence, the first option is correct.
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