The numbers \(2.745\) and \(2.735\) on rounding off to \(3\) significant figures will give respectively, 

1. \(2.75\) and \(2.74\) 2. \(2.74\) and \(2.73\)
3. \(2.75\) and \(2.73\) 4. \(2.74\) and \(2.74\)
Hint: Use the concept of rounding off the numbers.
 
Step: Round off the two numbers.
For the number \(2.745\), the third significant figure is \(5\), so we round up the second decimal place.
Therefore, \(2.745\) rounded to \(3\) significant figures is \(2.74.\)
For number \(2.735\), the third significant figure is \(5\), so if we round up the second decimal place.
Therefore, \(2.735\) rounded to \(3\) significant figure is \(2.74.\)
Hence, option (4) is the correct answer.