In the following question, select the missing number from the given series.
6 10 9
7 2 13
4 ? 8
- A9
- B8
- C6
- D7
Solution & Step-by-step Explanation
Let's check the column-wise or row-wise properties of the matrix.
Let's sum the numbers in each column:
Column 1: 6+7+4=17
Column 3: 9+13+8=30
No clear pattern.
Let's look at the row-wise sum:
Row 1: 6+10+9=25
Row 2: 7+2+13=22
Row 3: 4+x+8=12+x
Let's test an alternative relationship:
Sum of first and third column numbers=middle column function
Row 1: 6+9=15→15−5=10
Row 2: 7+13=20→20÷10=2? Not consistent.
Let's check the row sums pattern again:
Notice that:
Row 1 sum: 25
Row 2 sum: 22
The row sums are decreasing by 3 (25−3=22).
Following this sequence rule, the sum of Row 3 must be 22−3=19.
Therefore:
4+x+8=19
12+x=19
x=19−12=7
Hence, the missing value is 7.
Let's sum the numbers in each column:
Column 1: 6+7+4=17
Column 3: 9+13+8=30
No clear pattern.
Let's look at the row-wise sum:
Row 1: 6+10+9=25
Row 2: 7+2+13=22
Row 3: 4+x+8=12+x
Let's test an alternative relationship:
Sum of first and third column numbers=middle column function
Row 1: 6+9=15→15−5=10
Row 2: 7+13=20→20÷10=2? Not consistent.
Let's check the row sums pattern again:
Notice that:
Row 1 sum: 25
Row 2 sum: 22
The row sums are decreasing by 3 (25−3=22).
Following this sequence rule, the sum of Row 3 must be 22−3=19.
Therefore:
4+x+8=19
12+x=19
x=19−12=7
Hence, the missing value is 7.