Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Logic True-False Reasoning.
P,Q, R are statements such that if P is true then at least one of the following is correct (i) Q is true (ii) R is not true then
Logic
Relations
True-False
Answer: if both P and Q are true then R is true
B.Stat Objective Question 67
Challenges and Thrills of Pre-College Mathematics by University Press
P true gives (i) holds and (ii) do not hold that is Q true and R true
P true gives (i) do not hold and (ii) holds that is Q non true and R non true
then from given conditions when P true and first condition holds that is Q true then second condition do not hold that is R is true that is if both P and Q are true then R is true.