Final answer:
The number of electric-field lines is proportional to the magnitude of the charge. Since +20 nC is four times +5 nC, there should be 20 electric-field lines for the +20 nC charge.
Step-by-step explanation:
In physics, the number of electric-field lines that emanate from a charge is proportional to the magnitude of that charge. Considering that there are 5 electric-field lines for a +5 nC charge, for a +20 nC charge, which is four times greater, the number of electric-field lines should also be four times greater. Therefore, there should be 20 field lines coming out of a +20 nC charge, which corresponds to option d in the multiple-choice question provided.