In the following question, select the number which can be placed at the sign of question mark (?) from the given alternatives.8 9 5 44 5 ? 6 43 12 7 3 44
10
The grid is read one row at a time, and in every row the fourth (last) number is produced from the first three by a single fixed operation that we must first identify.
Testing Row 1: \(8 + 9 + 5 = 22\), and \(22 \times 2 = 44\), which is exactly the last entry of that row.
Confirming on Row 3: \(12 + 7 + 3 = 22\), and again \(22 \times 2 = 44\), matching its last entry, so the rule "last number = twice the sum of the first three" is consistent.
Running that rule in reverse for Row 2, the first three numbers must sum to half of the row's fourth number, that is to \(21\).
So \(5 + ? + 6 = 21\), which gives \(? = 21 - 11 = 10\).
A quick sanity check on the options confirms the choice: only \(? = 10\) keeps the first three numbers of the row summing to the required value.
The key idea is to detect the constant relation between the row's last entry and the other three, then apply it backwards to solve for the missing number.
Hence the number that replaces the question mark is 10.
Similar Questions
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Important Questions from Missing Number in Matrix
Select the missing number from the given responses:
1
216
343
8
125
512
27
64
?
35
401
1575
Following is a matrix of certain entries. The entries follow a certain trend row-wise. Choose the missing entry (?) accordingly.
7B 10A 3C 3C 9B 6A 10A 13C ? Study the given pattern carefully and select the number that can replace the question mark (?) in it.
116 160 ? 3 8 13 7 4 2 Find the missing number from the given responses in the following question.
9 6 8 5 8 4 7 4 ? 11 2 7 In the following question, from the given alternatives, select the number that comes in place of the question mark (?).
16
8
13
17
12
23
21
15
19
162
105
?
