Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
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: All villas are buildings. Some buildings are apartments. Conclusions: (I) All buildings are villas. (II) Some villas are not apartments.
Only conclusion I follows
Neither conclusion I nor II follows
Only conclusion II follows
Both conclusions I and II follow
Neither conclusion I nor II follows
Use Venn diagram visualization: 'All V are B' means circle V is inside circle B; 'Some B are A' means circle A overlaps with B. Since V is inside B, A could overlap with V, or remain completely outside V, making specific conclusions about V and A impossible without more info.
Use Venn diagram visualization: 'All V are B' means circle V is inside circle B; 'Some B are A' means circle A overlaps with B. Since V is inside B, A could overlap with V, or remain completely outside V, making specific conclusions about V and A impossible without more info.
Analyze Statement 1
All villas are buildings: This means the set of 'Villas' is a subset of 'Buildings'. In a Venn diagram, draw a smaller circle for Villas entirely inside a larger circle for Buildings.
Analyze Statement 2
Some buildings are apartments: This means there is an intersection between the circle for 'Buildings' and the circle for 'Apartments'.
Evaluate Conclusion I
Conclusion I states 'All buildings are villas'. This is incorrect because we only know that all villas are buildings, not that the reverse is true (a portion of buildings might not be villas).
Evaluate Conclusion II
Conclusion II states 'Some villas are not apartments'. In our Venn diagram, the 'Apartments' circle could overlap with the 'Villas' circle or only with the part of 'Buildings' that is outside 'Villas'. Since there is no definite link between Villas and Apartments, we cannot conclude anything specific about their non-relation.
A: Wrong because Conclusion I is false; C: Wrong because Conclusion II is not definitely true; D: Wrong because neither conclusion is logically certain.
B is correct because neither of the conclusions follows logically from the given premises; Conclusion I is an invalid conversion of 'All A are B', and Conclusion II is a possibility but not a necessity.
In Syllogism questions, if a conclusion is only 'possible' but not 'certain' across all possible valid diagrams, it is considered false in formal logic.
Get instant step-by-step AI explanations, full shift Previous Year Papers (SSC GD, RRB, SSC JE), and regional rank analysis on the official Examoogle App.
Free Download тАв 100K+ Aspirants