<p>Which number should come in place of the question mark (?) in the following chart :</p> <table border="1" cellpadding="0" cellspacing="0" style="width: 100px;"> <tbody> <tr> <td> <p style="text-align: center;">1</p> </td> <td> <p style="text-align: center;">7</p> </td> <td> <p style="text-align: center;">9</p> </td> </tr> <tr> <td> <p style="text-align: center;">2</p> </td> <td> <p style="text-align: center;">14</p> </td> <td> <p style="text-align: center;">?</p> </td> </tr> <tr> <td style="width: 30px;"> <p style="text-align: center;">3</p> </td> <td style="width: 30px;"> <p style="text-align: center;">105</p> </td> <td style="width: 30px;"> <p style="text-align: center;">117</p> </td> </tr> </tbody> </table>
To find the missing number, we need to determine the logical rule that connects the numbers in the grid. The pattern in this chart operates vertically within each column.
The number in the third row of each column is calculated by multiplying the numbers from the first and second rows, and then adding the number from the first row again.
The formula is: Row 3 = (Row 1 × Row 2) + Row 1
Let's check this rule for the completed columns:
The rule is consistent.
Now, we apply the same rule to the third column to find the missing number in the second row (let's call it 'x').
Row 1 value = 9
Row 2 value = x
Row 3 value = 117
Using the formula: (9 × x) + 9 = 117
9x = 117 - 9
9x = 108
x = 108 / 9
x = 12
The number that should come in place of the question mark is 12.
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