Question Details

Consider the following pattern of numbers:


8101513
6574
4688
61116?

What is the number at ? in the above pattern ?

Options

A

17

B

19

C

21

D

23

Show Answer

Correct Answer :

Option A

17

Solution :

The correct answer is 17.

To find the pattern, let us examine each column carefully. The table is arranged as follows:

Row 1: 8   10   15   13
Row 2: 6     5     7     4
Row 3: 4     6     8     8
Row 4: 6   11   16   ?

The governing rule for each column is:

Row 4 = Row 1 - Row 2 + Row 3

Let us verify this rule across the first three columns:

Column 1:
8-6+4=6   ✓ (matches Row 4, Column 1)

Column 2:
10-5+6=11   ✓ (matches Row 4, Column 2)

Column 3:
15-7+8=16   ✓ (matches Row 4, Column 3)

The rule is confirmed consistently across all three columns. Now we apply it to Column 4 to find the missing value:

Column 4:
13-4+8=17

Therefore, the missing number ? is 17.

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