A=(1/31+1/32+...+1/40)+(1/41+1/42+...+1/50)+(1/51+1/52+...+1/60)
1/31>1/40
1/32>1/40
...
1/40=1/40
=>1/31+1/32+...+1/40>10/40=1/4
1/41>1/50
1/42>1/50
...
1/50=1/50
=>1/41+1/42+...+1/50>10/50=1/5
1/51>1/60
1/52>1/60
...
1/60=1/60
=>1/51+1/52+...+1/60>10/60=1/6
=>A>1/4+1/5+1/6=37/60>7/12