Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All rhombuses are tangents. All chords are tangents. Conclusions: I. Some rhombuses being chords is a possibility. II. Some tangents are rhombuses.
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All rhombuses are tangents. All chords are tangents. Conclusions: I. Some rhombuses being chords is a possibility. II. Some tangents are rhombuses. Correct Answer Both conclusions I and II follow
The least possible Venn diagram for the given statements is as follows:
Conclusion:
I) Some rhombuses being chords is a possibility → True (As all rhombuses are tangents. So, some rhombuses being chords is definite true.)
II) Some tangents are rhombuses → True (As all rhombuses are tangents and all chords are tangents, so some tangents are rhombuses is definite true.)
Hence, the correct answer is "Both conclusions I and II follows".