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 apples are bananas. Some mangoes are apples. Conclusions: (I) Some mangoes are bananas. (II) Some bananas are apples.
Option 1: Either conclusion I or II follow
Option 2: Neither conclusion I nor II follow
Option 3: Only conclusion II follows
Option 4: Only conclusion I follows
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Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some mangoes are bananas – From the given Venn diagram, there is no definite relation between mango and banana or no overlapping between them. Therefore, this conclusion is false. Conclusion (II): Some bananas are apples – From the given Venn diagram, the circle of bananas intersects with the circle of apples and has a common area between them. Therefore, this conclusion is true.
So, only conclusion II follows. 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: 1. All apples are mangoes. 2. Some bananas are mangoes. Conclusions: I. Some mangoes are bananas. II. Some mangoes are apples. III. No mango is an apple.
Option 1: Only conclusions I and III follow
Option 2: Either conclusion I or III follows
Option 3: Only 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: Some vehicles are helicopters. All helicopters are cars. Conclusions: I. All vehicles are cars. II. Some vehicles are cars.
Option 1: Neither conclusion I nor II follows
Option 2: Only conclusion II follows
Option 3: Only conclusion I 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: Some tasks are jobs. No job is a duty. Conclusions: I. All tasks can never be duties. II. Some tasks are duties.
Option 2: 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 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
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: Some carpenters are singers. All singers are doctors. Conclusions: I. No doctor is a carpenter. II. Some doctors are singers. III. Some carpenters are doctors.
Option 1: All of the conclusions follow
Option 3: Only conclusion III follows
Option 4: Only conclusions II and III follow
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