Question : Directions: Two statements are given, followed by two conclusions numbered I and II. 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: No plant is a tree. All ornaments are plants. Conclusions: I. No ornament is a tree. II. Some plants are ornaments.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Either conclusion I or II follows
Option 4: Both conclusions follow
Correct Answer: Both conclusions follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyze the conclusions – Conclusion (I): No ornament is a tree – Since all ornaments are plants and no plant is a tree. Thus, it can be concluded that no ornament is a tree. Conclusion (II): Some plants are ornaments – From the Venn diagram, it is evident that some parts of the circle representing plants lie inside the circle representing ornaments while some lie outside. Thus, it can be concluded that some plants are ornaments.
So, both conclusions follow. Hence, the fourth option is correct.
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Question : Directions: Two statements are given, followed by two conclusions numbered I and II. 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 plants are vegetables. Some plants are poisonous. Conclusions: I. All vegetables are poisonous. II. Some vegetables are plants.
Option 1: Neither conclusion I nor II follows
Option 2: Only conclusion I follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion II follows
Question : Directions: Two statements are given, followed by two conclusions numbered I and II. 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 bats are sticks. No stick is a ball. Conclusions: I. No bat is a ball. II. No ball is a bat.
Option 3: Only conclusion II follows
Option 4: Both conclusions I and II follow
Question : Directions: Two statements are given followed by two conclusions numbered I and II. 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 sixes are sevens. No seven is an eight. Conclusions: I. All eights are sixes. II. No eight is a six.
Option 4: Only conclusion I follows
Question : Directions: Two statements are given followed by two conclusions numbered I and II. 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 goods are services. No service is a delivery. Conclusions: I. No good is a delivery. II. Some goods are deliveries.
Option 2: Both conclusions I and II follow
Question : Directions: Two statements are given followed by two conclusions numbered I and II. 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 dogs are cats. No cat is a rat. Conclusions: I. Some rats are cats. II. Some dogs are rats.
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