In this article, we adjust the Kuk randomized response model for collecting information on a sensitive characteristic for increased protection and efficiency by making use of forced "yes" and forced "no" responses. We first describe Kuk's model and then the proposed adjustment to Kuk's model. Next, by means of a simulation study, we compare the efficiency of the adjusted Kuk model relative to the pioneer Kuk model while maintaining at least equal protection of respondents.