Question : Directions: Select the option that can replace the question mark (?) in the third row.
Row 1: 6, 4, 26
Row 2: 3, 7, 29
Row 3: 2, 6, ?
Option 1: 20
Option 2: 10
Option 3: 23
Option 4: 28
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Correct Answer: 20
Solution :
Given:
Row 1: 6, 4, 26
Row 2: 3, 7, 29
Row 3: 2, 6, ?
Divide the sum of the square of the first two numbers by 2 to get the third number –
In row 1: (6
2
+ 4
2
) ÷ 2 = (36 + 16) ÷ 2 = 52 ÷ 2 = 26
In row 2: (3
2
+ 7
2
) ÷ 2 = (9 + 49) ÷ 2 = 58 ÷ 2 = 29
Similarly, follow the same pattern in row 3: (2
2
+ 6
2
) ÷ 2 = (4 + 36) ÷ 2 = 40 ÷ 2 = 20
So, the required missing number is 20. Hence, the first option is correct.
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