Question : Directions: In the following question, two statements are given followed by two or four conclusions, I, II, III and IV. You have to consider the 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 can be drawn from the given statements. Indicate your answer. Statements: All aeroplanes are trains. Some trains are chairs. Conclusions: I. Some aeroplanes are chairs. II. Some chairs are aeroplanes. III. Some chairs are trains. IV. Some trains are aeroplanes.
Option 1: Only conclusions I and II follow
Option 2: Only conclusions II and III follow
Option 3: Only conclusions III and IV follow
Option 4: None follows
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Correct Answer: Only conclusions III and IV follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some aeroplanes are chairs – From the Venn diagram, it is evident that there is no direct relation between aeroplanes and chairs. So, no definite relation can be drawn. Thus, this conclusion does not follow. Conclusion (II): Some chairs are aeroplanes – From the Venn diagram, it is evident that there is no direct relation between aeroplanes and chairs. So, no definite relation can be drawn. Thus, this conclusion does not follow. Conclusion (III): Some chairs are trains – From the Venn diagram, it is evident that two circles representing chairs and trains overlap each other and have a part of their area in common. So, from this, it can be concluded that some chairs are trains. Thus, this conclusion follows. Conclusion(IV): Some trains are aeroplanes – From the Venn diagram, it is evident that some parts of the circle representing the train lie inside the circle representing the aeroplane while some lie outside. So, from this, it can be concluded that some trains are aeroplanes. Thus, this conclusion follows.
So, only conclusions III and IV follow. Hence, the third option is correct.
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Question : Directions: Two statements are given followed by four conclusions, 1 to 4. 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: (a) Some skirts are benches. (b) No bench is a table. Conclusions: I. Some skirts are tables. II. some benches are skirts. III. All benches are skirts. IV. Some tables are skirts.
Option 1: Only I follows
Option 2: Only II follows
Option 3: Only II and IV follow
Option 4: Only I and III follow
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 teachers are engineers. All clerks are teachers. Conclusions: I. Some engineers are clerks. II. Some teachers are clerks. III. Some clerks are not engineers.
Option 1: Only conclusions I and III follow
Option 2: Only conclusions I and II follow
Option 3: All of the conclusions follow
Option 4: Only conclusions II and III follow
Question : Directions: Three statements are given, followed by four conclusions numbered I, II, III, and IV. 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 blue is red. Some green are red. All yellow is green. Conclusions: I. Some yellow are red. II. No yellow is red. III. Some green are blue. IV. No green is blue.
Option 1: Only conclusions I and IV follow
Option 4: None of the conclusions follow
Question : Directions: Three Statements are given followed by Four conclusions numbered I, II, III and IV. 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 curtains are pillows. No pillow is a bedsheet. Some curtains are bedsheets. Conclusions: I. No curtain is a bedsheet. II. No pillow is a curtain. III. Some bedsheets are curtains. IV. Some pillows are curtains.
Option 1: All conclusions follow
Option 2: Both conclusions II and III follow
Option 3: Both conclusions III and IV follow
Option 4: Both conclusions I and II follow
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 scissors are spoons. All spoons are plates. Conclusions: I. Some plates are spoons. II. Some spoons are scissors. III. Some plates are scissors.
Option 1: All of the conclusions follow
Option 3: Only conclusions I and II follow
Option 4: Only conclusions I and III follow
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