The sentence with similar meaning He jogged a lot in his youth - He ...
a) was used to jog a lot
b) got used to jog a lot
c) is used to jog a lot
d) used not to jog a lot
e) used to jog a lot
f) didnt use to jog a lot
g) wouldnt jog a lot
h) will jog a lot

e) used to jog a lot.

Объяснение:

Because it's an action in the past --> in his youth (в его молодости)

Constuction "used to"

Может быть как "Used to (do smth)" и "Didn't use to (do smth)". Мы не можем использовать "Didn't" т.к. в предложении сказно, что он бегал много.

Поэтому He used to jog a lot.