Samson challenges his companions with a puzzle that breaks the traditional rules of such games. Instead of drawing on common knowledge or shared reality, he builds his challenge around a completely hidden, personal experience unknown to anyone else [ביאור שטיינזלץ]. The puzzle presents a surprising contradiction in nature: from a creature known to prey and consume others comes food, and from something fierce and powerful comes something sweet [מצודת דוד]. The secret answer is the predatory lion from whose carcass Samson had earlier scraped sweet honey.
Because the challenge is based on a private event rather than a familiar tale, the Philistines are entirely unable to solve it. For the first three days of the feast, the men put in genuine intellectual effort, searching and investigating for an answer. However, once they fail to make any progress, they realize the answer is an impossible secret and abandon their attempts to solve it fairly [מלבי״ם].
Having given up on their intellect, the men spend the following days consulting and plotting a deceptive workaround to uncover the truth [אברבנאל]. They decide to use Samson's wife to coax the secret out of him. They wait until the seventh day of the feast to approach her, because it is only on this final day that she officially becomes his wife. Before this point, she would not have had the standing or power to demand his personal secrets [מלבי״ם].
When the men finally confront her, they demand that she extract the solution from Samson, threatening to burn her and her father's house to the ground if she fails. In making this violent threat, they ironically seal her tragic fate, as she and her father's household are eventually burned in exactly this manner [אברבנאל].