正解：

Solution:
[root@node1 ~]# mkdir /home/managers
[root@node1 ~]# chgrp sysmgrs /home/managers
[root@node1 ~]# chmod 2770 /home/managers
# Verification
[root@node1 ~]# ll -d /home/managers

正解：

See the solution below in Explanation.
Explanation:
Solution:
* Create the destination directory if needed:
mkdir -p /root/tomfiles
* Find and copy:
find / -type f -user tom -exec cp -pvf {} /root/tomfiles/ \;
Detailed Explanation:
* find / searches the whole filesystem.
* -type f restricts results to files.
* -user tom matches owner tom.
* -exec cp -pvf copies each file with verbose and force options.
* mkdir -p is added as a safe preparation step.

正解：

See the solution below in Explanation.
Explanation:
Solution:
dnf install -y autofs
mkdir -p /shares
echo "/shares /etc/auto.shares" > > /etc/auto.master
echo "projects -fstype=nfs,rw server1:/srv/nfs/projects" > /etc/auto.shares
systemctl enable --now autofs
ls /shares/projects
Detailed Explanation:
* /etc/auto.master defines the main map.
* /etc/auto.shares defines the indirect mount entry.
* The mount happens on demand when /shares/projects is accessed.
* RHEL 10 file-system documentation includes AutoFS for on-demand mounts. ( Red Hat
Documentation )

正解：

See the solution below in Explanation.
Explanation:
Solution:
groupadd admin
mkdir -p /common/admin
chgrp admin /common/admin
chmod 2770 /common/admin
Detailed Explanation:
* groupadd admin creates the group.
* chgrp admin assigns the group ownership.
* 2770 means:
* 2 = SGID
* 7 = owner rwx
* 7 = group rwx
* 0 = others no access
* This is a standard shared group-admin directory design.