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Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and decide which conclusion(s) logically follow(s) from the given statements. Statements: Some files are photos. All photos are pictures. Conclusions: (I) No pictures are files. (II) Some pictures are files.
Only conclusion (II) follows
Only conclusion (I) follows
Both conclusions (I) and (II) follow
Neither conclusion (I) nor (II) follows
Only conclusion (II) follows
In syllogisms, 'Some' is always contained within 'All'. Since all photos are pictures, and some files are photos, those specific files must also be pictures.
In syllogisms, 'Some' is always contained within 'All'. Since all photos are pictures, and some files are photos, those specific files must also be pictures.
Analyze Premises
Statement 1: Some files are photos. Statement 2: All photos are pictures. This creates a link where files overlap with photos, and all those photos are inside the 'pictures' category.
Evaluate Conclusion (I)
'No pictures are files' is false because there is a direct intersection between files and photos, and those photos are pictures, meaning some pictures must be files.
Evaluate Conclusion (II)
'Some pictures are files' is true because the files that are photos are necessarily part of the pictures group due to the second statement.
Conclusion (I) is wrong because it contradicts the positive relationship established by the intersection. Only Conclusion (II) logically follows from the premises.
A is correct because when some files are photos and all photos are pictures, it logically necessitates that some pictures are files (the portion of files that are also photos).
Always draw a Venn diagram for syllogisms; look for the common term (photos) to bridge the relationship between the others (files and pictures).