Question : Directions: In the following question, two statements are given followed by two conclusions I and II. 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: All hens are cocks. No cock is black. Conclusions: I. All cocks are hens. II. No hen is black.
Option 1: Only conclusion I is valid
Option 2: Only conclusion II is valid
Option 3: Both the conclusions are valid
Option 4: Both the conclusions are invalid
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Correct Answer: Only conclusion II is valid
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All cocks are hens – According to the Venn diagram, the circle of hens is completely inside the circle of cocks, therefore some cocks are hens is true but all cocks are hens is incorrect. Conclusion (II): No hen is black – According to the Venn diagram, no cocks are black and the circle of the hen is completely inside the circle of cocks, therefore, no hen is black is the correct conclusion.
So, the only conclusion II is the valid conclusion. Hence, the second 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 conclusions logically follow(s) from the statements. Statements: Some pink are black Some blue are pink Conclusions: I. All blue is black II. All pink is black
Option 1: Only conclusion I follows
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion II follows
Option 4: Either conclusion I or 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 buses are cars No jeep is a car Conclusions: I. No car is a jeep II. No jeep is a bus
Option 1: Only conclusion II follows
Option 3: Both conclusions I and II follows
Option 4: Only conclusion I follows
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Option 4: Both the conclusions 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 tasks are jobs. No job is a duty. Conclusions: I. All tasks can never be duties. II. Some tasks are duties.
Option 1: Neither conclusion I nor II follows
Option 2: Either conclusion I or II follows
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: Some fans are hammers. All hammers are fish. Conclusions: I. No fan is a fish. II. Some fans are fishes.
Option 2: Neither conclusion I nor II follow
Option 3: Both conclusions I and II follow
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