Correct Answer: To increase the size of the logical volume 'lvtestvolume' by 5GB in an LVM setup, follow these steps. Firstly, create a new partition with a size of 5GB and change its partition type to '8e' (Linux LVM). This can be done using a partitioning tool like 'fdisk' or 'parted'. Once the partition is created, use the 'partprobe' command to instruct the operating system to re-read the partition table. Next, initialize the new partition as a physical volume using the 'pvcreate' command. Add this physical volume to your existing volume group 'test0' with the 'vgextend' command. Then, extend the logical volume 'lvtestvolume' by an additional 5GB using the 'lvextend' command with the '-r' option to automatically resize the filesystem. Verify the changes using the 'lvdisplay' command. Finally, you can use 'df -h' to check the updated size of the filesystem mounted on '/data'. This procedure ensures that the logical volume is appropriately resized, and the filesystem is adjusted to reflect the new size.