Explanation:

Let’s analyze the pattern:

- 24 : 13

- 24 - 11 = 13

- 38 : ?

- Following the same pattern: 38 - 11 = 27

Now let’s look at the options:

- Option 1: 25 (38 - 25 = 13, doesn’t fit the pattern)

- Option 2: 17 (38 - 17 = 21, doesn’t fit the pattern)

- Option 3: 20 (38 - 20 = 18, doesn’t fit the pattern)

- Option 4: 23 (38 - 23 = 15, doesn’t fit the pattern)

But if we look at the pattern as the number is decreased by 11,

Correct answer should be 27 (since 38 - 11 = 27), but this is not in the options.

None of the options directly fit the clear pattern. Let’s try dividing as a pattern:

- 24 : 13 (if we try 24/2 = 12, close to 13, or 24/2 + 1)

- 24/2 + 1 = 12 + 1 = 13

So, next is 38/2 + 1 = 19 + 1 = 20

- Option 3: 20 is correct!

To summarize:

- Pattern is: divide by 2, then add 1.

- 24 : 13 (24/2 + 1 = 13)

- 38 : 20 (38/2 + 1 = 20)

- Option 1: 25 (Wrong)

- Option 2: 17 (Wrong)

- Option 3: 20 (Right)

- Option 4: 23 (Wrong)