Concept:
The coagulation (precipitation) of a colloidal solution by an electrolyte is governed by the Hardy-Schulze Rule. Colloidal particles carry a specific electric charge (either positive or negative), and to coagulate them, an ion of the opposite charge must be added.
Coagulation is caused by the ion having a charge opposite to that of the colloidal particles. For example, a negatively charged sol (like As2S3) is coagulated by cations (Na+, Ba2+, Al3+), while a positively charged sol (like Fe(OH)3) is coagulated by anions (Cl-, SO42-). Therefore, the sign of the charge determines if the ion will be effective at all.
According to the Hardy-Schulze rule, the greater the valency (magnitude of charge) of the coagulating ion, the greater is its power to cause precipitation.
For a negatively charged sol, the coagulating power follows the order:
Al3+ > Ba2+ > Na+
Conclusion: Since both the sign (to ensure opposition) and the magnitude (to determine strength) are critical, option (b) is correct.