The numbers 2.745 and 2.735 on rounding off to 3 significant figures will give

Options

A. 2.75 and 2.74
B. 2.74 and 2.73
C. 2.75 and 2.73
D. 2.74 and 2.74

Explanation

To solve the problem of rounding the numbers 2.745 and 2.735 to 3 significant figures, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the Numbers**: We have two numbers to round: 2.745 and 2.735.

2. **Rounding 2.745**:
- We need to round this number to 3 significant figures.
- The first three significant figures in 2.745 are 2, 7, and 4.
- The next digit after these three figures is 5.
- According to rounding rules, if the digit following the last significant figure (in this case, 4) is 5, we check the digit before it (which is 4).
- Since 4 is even, we do not increase the last significant figure.
- Therefore, 2.745 rounded to 3 significant figures is **2.74**.

3. **Rounding 2.735**:
- Now, we round this number to 3 significant figures.
- The first three significant figures in 2.735 are 2, 7, and 3.
- The next digit after these three figures is again 5.
- We check the digit before it (which is 3).
- Since 3 is odd, we increase the last significant figure (which is 3) by 1.
- Therefore, 2.735 rounded to 3 significant figures is **2.74**.

4. **Final Result**: Both numbers, when rounded to 3 significant figures, give us **2.74**.

### Conclusion:
Thus, the rounded values of 2.745 and 2.735 to 3 significant figures are both **2.74**.