If PIPE is written as 169165, then what is the last digit of SWAN ?

Options

A. 5
B. 6
C. 4
D. 3

Answer

To solve the problem, we need to determine how the letters in the word "PIPE" correspond to the numbers 16, 169, and 165, and then apply the same logic to the word "SWAN."

### Step-by-Step Solution:

1. **Identify the Position of Each Letter in the Alphabet:**
- The English alphabet positions are as follows:
- A = 1
- B = 2
- C = 3
- ...
- P = 16
- I = 9
- E = 5
- S = 19
- W = 23
- A = 1
- N = 14

2. **Translate the Letters of "PIPE":**
- P = 16
- I = 9
- P = 16
- E = 5
- Therefore, "PIPE" translates to 16, 9, 16, 5.

3. **Observe the Pattern in the Numbers:**
- The numbers for "PIPE" are given as 16, 169, 165.
- It appears that the first number is simply the position of P (16), the second number combines the position of P and I (16 and 9), and the third number combines P, I, and E (16, 9, and 5).

4. **Translate the Letters of "SWAN":**
- S = 19
- W = 23
- A = 1
- N = 14
- So, "SWAN" translates to 19, 23, 1, 14.

5. **Combine the Numbers for "SWAN":**
- Following the same pattern, we can create the numbers:
- First number: 19 (for S)
- Second number: 19 and 23 (for S and W) = 1923
- Third number: 19, 23, and 1 (for S, W, and A) = 19231
- Fourth number: 19, 23, 1, and 14 (for S, W, A, and N) = 192314

6. **Identify the Last Digit of the Final Number:**
- The last digit of 192314 is 4.

### Conclusion:
The last digit of "SWAN" is **4**.