[Question]
"Consumer research aims at understanding whether users of some products also tend to consume other ones, or not. The following argument seeks to clarify some such relations: To start with, every loyal buyer of Paul Mitchell soap is a loyal buyer of Natural Bar soap or, otherwise, neither a loyal buyer of Natural Bar soap nor an occasional purchaser of Cetaphil soap. Now, being an occasional purchaser of Cetaphil soap is necessary for being a loyal buyer of Paul Mitchell soap. In consequence, being a loyal buyer of Paul Mitchell soap is sufficient for being a loyal buyer of Natural Bar soap.

[Answer]
valid

[Question]
"It is not always easy to see which chemicals are contained in our consumer products. The following argument pertains to this question: To begin with, being an ingredient of Aquablush is sufficient for being an ingredient of NARS Duo Eyeshadow. Moreover, whatever is neither an ingredient of Stop and Stare nor an ingredient of A.D LIPSTICK CHIC is an ingredient of Lash Tinsel Mascara or an ingredient of Aquablush.finally, everything that is an ingredient of Lash Tinsel Mascara is an ingredient of NARS Duo Eyeshadow, too. Therefore, whatever is not an ingredient of NARS Duo Eyeshadow is however an ingredient of Stop and Stare or an ingredient of A.D LIPSTICK CHIC.

[Answer]
valid

[Question]
"Is Titanium oxide an ingredient of my washing power? Which chemicals does my perfume contain? It is really difficult to keep track of all chemicals one is regularly exposed to. The following argument seeks to clarify some such relations: Every ingredient of Sahara Saphire is both an ingredient of Pink Lotion Soap and an ingredient of Brushless Mascara. Cocamide is an ingredient of Pink Lotion Soap. Therefore, Cocamide is an ingredient of Sahara Saphire.

[Answer]
invalid

[Question]
"Here comes a perfectly valid argument: First premise: Every expert of Real Madrid CF is a fan of F91 Dudelange. Second premise: Being a backer of SCR Altach is sufficient for being an expert of Real Madrid CF. So, necessarily, every backer of SCR Altach is a fan of F91 Dudelange.

[Answer]
valid

[Question]
"It is not always easy to see who is related to whom -- and in which ways. The following argument pertains to this question: First premise: Terry is a grandson of Ward. Second premise: Every grandson of Paul is an uncle of Earl and a grandson of Ward. We may conclude that Terry is a grandson of Paul.

[Answer]
invalid

[Question]
"Consumer research aims at understanding whether users of some products also tend to consume other ones, or not. The following argument seeks to clarify some such relations: To begin with, some regular consumer of AXE shampoo is not an occasional purchaser of Sexy Hair shampoo. Moreover, everyone who is a regular user of Nubian Heritage soap is an occasional purchaser of Sexy Hair shampoo, too. From this follows: Somebody is a regular consumer of AXE shampoo and not a regular user of Nubian Heritage soap.

[Answer]
valid

[Question]
"Here comes a perfectly valid argument: To start with, being an ingredient of Eye Definer Twig is necessary for being an ingredient of FACIAL SCRUB. Now, not being an ingredient of NARS Pressed Powder is sufficient for not being an ingredient of Eye Definer Twig. Therefore, being an ingredient of NARS Pressed Powder is necessary for being an ingredient of FACIAL SCRUB.

[Answer]
valid

[Question]
"It is not always easy to see who is related to whom -- and in which ways. The following argument pertains to this question: First premise: Being a workmate of Monte is necessary for not being an ancestor of Patrick. Second premise: Not being an ancestor of Nathan is sufficient for not being a workmate of Monte. It follows that being an ancestor of Nathan is necessary for not being an ancestor of Patrick.

[Answer]
valid

[Question]
"It is not always easy to see who is related to whom -- and in which ways. The following argument pertains to this question: Some classmate of Terri is a workmate of Dolores. Whoever is not a workmate of Dolores is an ancestor of Cheryl. So, necessarily, some ancestor of Cheryl is not a classmate of Terri.

[Answer]
invalid

