Which of the following statement(s) is/are true?
I. `(11//13) gt (16//19)`
II. `(4//11) gt (3//8)`

Options

A. Only I
B. Only II
C. Both I and II
D. Neither I nor II

Answer

To solve the question, we need to evaluate the two statements provided and determine if they are true or false.

### Step 1: Evaluate the first statement `(11/13) > (16/19)`

1. Calculate the value of \( \frac{11}{13} \):
\[ \frac{11}{13} \approx 0.8462 \]

2. Calculate the value of \( \frac{16}{19} \):
\[ \frac{16}{19} \approx 0.8421 \]

3. Compare the two values:
\[ 0.8462 > 0.8421 \]
Therefore, the first statement is **true**.

### Step 2: Evaluate the second statement `(4/11) > (3/8)`

1. Calculate the value of \( \frac{4}{11} \):
\[ \frac{4}{11} \approx 0.3636 \]

2. Calculate the value of \( \frac{3}{8} \):
\[ \frac{3}{8} = 0.375 \]

3. Compare the two values:
\[ 0.3636 < 0.375 \]
Therefore, the second statement is **false**.

### Conclusion:

- The first statement is true.
- The second statement is false.

Thus, the correct answer is that only the first statement is true.