`{:(A , B , C , D , E , F , G , H , I , J , K , L , M , N , O , P , Q , R ,S , T ,U , V , W ,X , Y , Z), (1 ,2 , 3 , 4 ,5, 6 , 7,8,9,10 , 11 , 12, 13, 14, 15 , 16 , 17 , 18 , 19, 20 , 21 ,22 , 23 , 24 , 25 , 26):}`
`M xx N : 13 xx 14 : : F xx R : ?`

Options

A. `7 xx 9`
B. `5 xx 17`
C. `14 xx 15`
D. `6 xx 18`

Answer

To solve the problem, we need to find the value that corresponds to the expression "F xx R" based on the analogy provided.

### Step-by-Step Solution:

1. **Understanding the Given Information**:
- We have two pairs of letters and their corresponding numerical values:
- M corresponds to 13
- N corresponds to 14
- We need to find the value of "F xx R".

2. **Identifying the Values for F and R**:
- From the given set of letters and numbers:
- F corresponds to the 6th letter of the alphabet, which is 6.
- R corresponds to the 18th letter of the alphabet, which is 18.

3. **Setting Up the Ratio**:
- The first pair is M xx N = 13 xx 14.
- The second pair is F xx R = 6 xx 18.
- We need to find the relationship between these pairs.

4. **Calculating the Value for F xx R**:
- We can express the ratio as follows:
- M/N = 13/14
- F/R = 6/18
- To find the value of F xx R, we can set up a proportion:
- (M/N) = (F/R)
- (13/14) = (6/x) where x is the unknown we need to find.

5. **Cross-Multiplying to Solve for x**:
- Cross-multiplying gives us:
- 13 * x = 6 * 14
- 13x = 84
- x = 84 / 13
- x = 6.46 (approximately).

6. **Conclusion**:
- Thus, the value corresponding to "F xx R" is approximately 6.46.

### Final Answer:
The value that corresponds to "F xx R" is approximately 6.46.