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
Correct Answer: Only conclusion III follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyze the conclusions – Conclusion I: Some valleys are plains – From the Venn diagram, it is evident that there is no definite relation between valleys and plains. Thus, this conclusion does not follow. Conclusion II: No plain is a mountain – From the Venn diagram, it is evident that there is no definite relation between plains and mountains. Thus, this conclusion does not follow. Conclusion III: No sea is a valley – Since all valleys are mountains and no mountain is a sea. Thus, it can be concluded that no sea is a valley.
So, the only conclusion III follows. Hence, the second option is correct.
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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 1: Only conclusion III follows
Option 2: Only conclusion II follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion I 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 4: Only conclusion II follows
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 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: All elephants are fishes. No fish is a tiger. Some deer are elephants. Conclusions: I. Some fishes are deer. II. No elephant is a deer. III. Some tigers are fishes.
Option 1: Both conclusions I and III follow.
Option 2: Only conclusion II follows.
Option 3: Both conclusions I and II follow.
Option 4: Only conclusion I follows.
Question : Directions: In the following question, two statements are given followed by three conclusions I, II, and III. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements. Statements: No cup is plate. All plates are spoons. Conclusions: I. Some cups are spoons. II. Some spoons are plates. III. Some plates are spoons.
Option 4: Only conclusions II and III follow
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