If RACE is coded as 4793, FACTis coded as 1795 and FORCE Is coded as 16493, then what is the code of REACT?

Options

A. 43759
B. 43975
C. 43579
D. 43795

Answer

To solve the problem, we need to determine the code for the word "REACT" based on the given coding for the words "RACE," "FACT," and "FORCE."

### Step-by-Step Solution:

1. **Identify the Codes for Each Letter:**
- From the coding of "RACE" as 4793:
- R = 4
- A = 7
- C = 9
- E = 3
- From the coding of "FACT" as 1795:
- F = 1
- A = 7 (already known)
- C = 9 (already known)
- T = 5
- From the coding of "FORCE" as 16493:
- F = 1 (already known)
- O = 6
- R = 4 (already known)
- C = 9 (already known)
- E = 3 (already known)

2. **Compile the Codes:**
- We have the following codes:
- R = 4
- A = 7
- C = 9
- E = 3
- F = 1
- T = 5
- O = 6

3. **Code for the Word "REACT":**
- Now we will use the codes we found to encode the letters in "REACT":
- R = 4
- E = 3
- A = 7
- C = 9
- T = 5

4. **Combine the Codes:**
- Putting it all together, we get:
- R (4), E (3), A (7), C (9), T (5) → The code for "REACT" is 43795.

5. **Final Answer:**
- The code for "REACT" is **43795**.