Three statements are given, followed by four conclusions numbered I, II, Ill and IV. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows from the statements. Statements: All cats are birds. Some tigers are cats. All bees are tigers. Conclusions: I. All bees are birds. II. Some bees are birds. III. Some birds are tigers. IV. All tigers are birds.

Three statements are given, followed by four conclusions numbered I, II, Ill and IV. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows from the statements. Statements: All cats are birds. Some tigers are cats. All bees are tigers. Conclusions: I. All bees are birds. II. Some bees are birds. III. Some birds are tigers. IV. All tigers are birds. Correct Answer Only conclusion III follows

The least possible Venn diagram is:

[ src="//storage.googleapis.com/tb-img/production/22/02/D1_PujaT_Madhuri_18.02.2022_D38.png" style="white-space: pre-wrap; margin-left: 0px; margin-top: 0px; width: 167px; height: 74px;">

Conclusions:

I. All bees are birds → False (it is possible but not definite, as no direct relation between them)

II. Some bees are birds → False (it is possible but not definite, as no direct relation between them)

III. Some birds are tigers → True (as all cats are birds and some tigers are cats, so the part of the cat that is a tiger is also a bird)

IV. All tigers are birds → False (it is possible but not definite, as shown in the diagram above)

Hence, only conclusion III follows.

Related Questions