Question

7)
input | 15 | 12 | 8 | 16 | 9
output | 9 | 6 | | 10 | 3

Explanation:

Step1: Find the pattern

Let's check the relationship between input and output. For 15 (input) and 9 (output): \(15 - 9 = 6\)? No. Wait, \(15 - 6 = 9\)? Wait, 15 - 6 = 9? No. Wait, 15 - (15 - 9) = 9? No. Wait, 15 - 6 = 9? Wait, 12 - 6 = 6 (output). Oh! 15 - 6 = 9? Wait, 12 - 6 = 6? Wait, 12 - 6 = 6 (output). 15 - 6 = 9? Wait, 16 - 6 = 10? 16 - 6 = 10? Yes! 16 - 6 = 10. 9 - 6 = 3? Yes! 9 - 6 = 3. 12 - 6 = 6. 15 - 6 = 9. So the pattern is Output = Input - 6? Wait, 15 - 6 = 9 (correct). 12 - 6 = 6 (correct). 16 - 6 = 10 (correct). 9 - 6 = 3 (correct). So for input 8, output should be 8 - 6 = 2? Wait, no. Wait, wait, 15 - 9 = 6, 12 - 6 = 6, 16 - 10 = 6, 9 - 3 = 6. Oh! Input - Output = 6. So Input - Output = 6. So Output = Input - 6? Wait, 15 - 9 = 6, 12 - 6 = 6, 16 - 10 = 6, 9 - 3 = 6. Yes! So the formula is Output = Input - 6? Wait, no: 15 - 9 = 6, so Output = Input - 6? Wait, 15 - 6 = 9 (yes). 12 - 6 = 6 (yes). 16 - 6 = 10 (yes). 9 - 6 = 3 (yes). So for input 8, Output = 8 - 6 = 2? Wait, let's check again. Input 15, Output 9: 15 - 9 = 6. Input 12, Output 6: 12 - 6 = 6. Input 16, Output 10: 16 - 10 = 6. Input 9, Output 3: 9 - 3 = 6. So the difference between Input and Output is 6. So Output = Input - 6? Wait, 15 - 6 = 9 (correct). 12 - 6 = 6 (correct). 16 - 6 = 10 (correct). 9 - 6 = 3 (correct). So for input 8, Output = 8 - 6 = 2? Wait, 8 - 6 = 2. Let's confirm.

Step2: Calculate for input 8

Using the pattern Input - Output = 6, so Output = Input - 6? Wait, no: Input - Output = 6, so Output = Input - 6? Wait, 15 - 9 = 6, so Output = Input - 6? Wait, 15 - 6 = 9 (yes). 12 - 6 = 6 (yes). 16 - 6 = 10 (yes). 9 - 6 = 3 (yes). So for input 8, Output = 8 - 6 = 2? Wait, but let's check again. Wait, 8 - 2 = 6 (Input - Output = 6). Yes. So the missing output is 2.

Answer:

2