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
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Correct Answer: Both 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): No curtain is a bedsheet – From the Venn diagram, it is evident that the circles representing curtains and bedsheets overlap and have some parts of their area in common. So, it can be concluded that some curtains are bedsheets. Thus, this conclusion does not follow. Conclusion (II): No pillow is a curtain – From the Venn diagram, it is evident that the circles representing curtains and pillows overlap and have some parts of their area in common. So, it can be concluded that some pillows are curtains. Thus, this conclusion does not follow. Conclusion (III): Some bedsheets are curtains – From the Venn diagram, it is evident that the circles representing curtains and bedsheets overlap and have some parts of their area in common. So, it can be concluded that some bedsheets are curtains. Thus, this conclusion follows. Conclusion (IV): Some pillows are curtains – From the Venn diagram, it is evident that the circles representing curtains and pillows overlap and have some parts of their area in common. So, it can be concluded that some pillows are curtains. Thus, this conclusion follows.
So, both conclusions III and IV follow. Hence, the third 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: No sheet is a pillow. Some pillows are blankets. All blankets are rugs. Conclusions: I. Some pillows are rugs. II. All blankets can never be sheets. III. Some rugs are sheets.
Option 1: Only conclusion III follows
Option 2: Only conclusion II follows
Option 3: Only conclusions II and III follow
Option 4: Only conclusions I and II 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 2: Only conclusions I and II follow
Option 3: Only conclusions III and IV follow
Option 4: None of the conclusions 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: 1. All professors are males. 2. All males are smart. 3. Some males are professionals. Conclusions: I. No professional is smart. II. Some professionals are professors. III. Some smart are professionals. IV. All professors are smart.
Option 1: Only conclusion IV follows
Option 2: 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 telescopes are periscopes. Some telescopes are microscopes. Some telescopes are kaleidoscopes. Conclusions: I. Some kaleidoscopes are telescopes. II. Some microscopes are kaleidoscopes. III. Some microscopes are telescopes.
Option 2: Only conclusions I and III follow
Option 4: All the conclusions 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: No toy is beautiful. Some beautiful are actresses. All actresses are rich. Conclusions: I. No toy is rich. II. Some actresses are beautiful. III. Some actresses are rich.
Option 1: Only conclusions II and III follow
Option 3: All the conclusions follow
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