`{:(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):}`
`MK : (169)/(121) :: JH : ?`

Options

A. `(100)/(64)`
B. `(100)/(81)`
C. `(64)/(120)`
D. `(81)/(100)`

Explanation

To solve the analogy MK : (169)/(121) :: JH : ?, we need to follow these steps:

### Step 1: Identify the numerical values for the letters in MK
- M corresponds to the 13th letter of the alphabet.
- K corresponds to the 11th letter of the alphabet.

### Step 2: Calculate the squares of the numerical values
- For M (13):
\[ 13^2 = 169 \]
- For K (11):
\[ 11^2 = 121 \]

### Step 3: Form the ratio for MK
- The ratio for MK is:
\[ \frac{169}{121} \]

### Step 4: Identify the numerical values for the letters in JH
- J corresponds to the 10th letter of the alphabet.
- H corresponds to the 8th letter of the alphabet.

### Step 5: Calculate the squares of the numerical values for JH
- For J (10):
\[ 10^2 = 100 \]
- For H (8):
\[ 8^2 = 64 \]

### Step 6: Form the ratio for JH
- The ratio for JH is:
\[ \frac{100}{64} \]

### Step 7: Simplify the ratio if necessary
- The ratio \(\frac{100}{64}\) can be simplified:
\[ \frac{100 \div 4}{64 \div 4} = \frac{25}{16} \]

### Final Answer
Thus, the answer for JH is:
\[ \frac{100}{64} \text{ or } \frac{25}{16} \]

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