Question : Directions: Three statements are given followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All D is V. Some S is D. No W is S. Conclusions: I. Some W is not D. II. Some V is S. III. Some D is S.
Option 1: Only Conclusion III follows
Option 2: Conclusions I, II, and III follow
Option 3: Both Conclusions II and III follow
Option 4: Only Conclusion I follows
Correct Answer: Both Conclusions II and III follow
Solution : The possible Venn diagram, according to the given statements is as follows
Let's analyse the conclusions – Conclusion (I): Some W is not D – It is a possibility that the circle representing W is completely overlapped by the circle that represents D. But, this is not definite. So, this conclusion does not follow. Conclusion (II): Some V is S – From the Venn diagram, it is evident that the two circles representing V and S overlap and have a part of their area in common. So, it can be concluded that some V is S. Conclusion (III): Some D is S – From the Venn diagram, it is evident that the two circles representing D and S overlap and have a part of their area in common. So, it can be concluded that some D is S.
So, both conclusions II and III follow. Hence, the third option is correct.
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Question : Directions: Two statements are given, followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All plums are pomegranates. Some plums are lemons. Conclusions: I. Some pomegranates are lemons. II. No lemon is a pomegranate. III. Some pomegranates are plums.
Option 1: Only conclusion III follows
Option 2: Only conclusion I follows
Option 3: Only conclusions I and III follow
Option 4: Only conclusions I and II follow
Question : Directions: Three statements are given, followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: Some Sofas are Chair. Some Chairs are Tables. All Tables are Beds. Conclusions: (I) Some Sofas are Tables. (II) Some Chairs are Beds. (III) Some Beds are Sofas.
Option 1: Both Conclusions II and III follow
Option 2: Only Conclusion I follows
Option 3: Both Conclusions I and III follow
Option 4: Only Conclusion II follows
Question : Directions: Three statements are given followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: Some elephants are fishes. No fish is a tiger. All deer are tigers. Conclusions: I. Some elephants are deer. II. No elephant is a tiger. III. No deer is a fish.
Option 2: Both conclusions I and III follow
Option 3: Both conclusions I and II follow
Option 4: Only conclusion II follows
Question : Directions: Three statements are given followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All valleys are mountains. No sea is a mountain. Some plains are seas. Conclusions: I. Some valleys are plains. II. No plain is a mountain. III. No sea is a valley.
Option 1: Only conclusion II follows
Option 2: Only conclusion III follows
Option 3: Only conclusion I follows
Option 4: Both conclusions I and II follow
Question : Directions: Three statements are given followed by Three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All plains are mountains. No sea is a mountain. Some valleys are seas. Conclusions: I. Some valleys are plains. II. No valley is a mountain. III. No sea is a plain.
Option 2: Only conclusion II follows
Option 4: Only conclusion I follows
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