Statements: A>B, D≤E, C≥F=G, B≤C=D Conclusions: I. B≥G II. E≥G
2026
Statements:
A>B, D≤E, C≥F=G, B≤C=D
Conclusions:
I. B≥G
II. E≥G
- A.
Conclusion I follows
- B.
Conclusion II follows
- C.
Both Conclusions follows
- D.
None follows
Attempted by 520 students.
Show answer & explanation
Correct answer: B
Given statements:
A > B
D ≤ E
C ≥ F = G
B ≤ C = D
Conclusions to test:
Conclusion I: B ≥ G
Conclusion II: E ≥ G
Reasoning:
From C ≥ F = G we get F = G and hence C ≥ G.
From B ≤ C = D we get C = D and B ≤ C.
From C = D and D ≤ E we deduce C ≤ E.
Combining C ≥ G and C ≤ E gives E ≥ G.
Conclusion
Conclusion II (E ≥ G) follows, as shown above.
Conclusion I (B ≥ G) does not follow. A counterexample satisfying all given statements is: G = 5, C = D = 6, B = 1, E = 7; here B ≥ G is false while all original statements hold.