A statement and its two conclusions - I and II are given. You have to follow the given statements is correct even if they seem to be at variance from commonly known facts. Statement: All belts are hot. All bolts are hot. Conclusions: I. At least some belts are bolts. II. All hot are belts. Decide which of the following options logically follows from the given conclusions. A. Only conclusion I follow. B. Only conclusion II follows. C. Both conclusions I and II follow. D. Neither conclusion I nor conclusion II follows.
A statement and its two conclusions - I and II are given. You have to follow the given statements is correct even if they seem to be at variance from commonly known facts. Statement: All belts are hot. All bolts are hot. Conclusions: I. At least some belts are bolts. II. All hot are belts. Decide which of the following options logically follows from the given conclusions. A. Only conclusion I follow. B. Only conclusion II follows. C. Both conclusions I and II follow. D. Neither conclusion I nor conclusion II follows. Correct Answer D
Given,
Statement:
All belts are hot.
All bolts are hot.
Conclusions:
I. At least some belts are bolts.
II. All hot are belts.
The least possible Venn diagram is as follows,
[ alt="F1 Aprajita Madhuri 25.02.2021 D3" src="//storage.googleapis.com/tb-img/production/21/02/F1_Aprajita_Madhuri_25.02.2021_D3.PNG" style="width: 159px; height: 135px;">
Conclusions:
I. At least some belts are bolts ⟶ False (From the Venn diagram we see it is possible but not definite.)
II. All hot are belts ⟶ False (From the Venn diagram we see it is possible but not definite.)
Hence, the correct answer is D.