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 ropes are chains. All chains are strings. Conclusions: (I) All strings are ropes. (II) All ropes are strings.
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 positive statements with 'All A are B' and 'All B are C', the inner-to-outer universal statement (All A are C) is always valid, while the reverse (All C are A) is a possibility but not definitively true.
In positive statements with 'All A are B' and 'All B are C', the inner-to-outer universal statement (All A are C) is always valid, while the reverse (All C are A) is a possibility but not definitively true.
Analyze Statement 1
All ropes are chains (Ropes subset Chains). This establishes that the entire set of ropes lies inside chains.
Analyze Statement 2
All chains are strings (Chains subset Strings). This establishes that the entire set of chains lies inside strings.
Combine Statements
By transitivity, since all ropes are inside chains and all chains are inside strings, all ropes are inside strings (All ropes are strings тЖТ Conclusion II follows). Conclusion I (All strings are ropes) is invalid because going from outer to inner is not universally true.
B: Conclusion (I) is false because going from outer set (strings) to inner set (ropes) does not hold universally. C: Both cannot follow since conclusion I is false. D: Conclusion II definitely follows by transitivity.
A is correct because combining 'All ropes are chains' and 'All chains are strings' yields the valid universal deduction 'All ropes are strings' (Conclusion II), whereas 'All strings are ropes' (Conclusion I) is invalid.
In universal syllogisms ('All A are B'), direct reading from inner to outer ('All A are B') is always true, while reverse reading ('All B are A') only holds true in cases of exact equivalence ('All A are all B').
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