Reasoning: Syllogism Set 14

Direction (1-3): Each option contains some statements. Determine from which statements the given two conclusions follow.

1. Conclusions:
   I. Some Abraham are Virat.
   II. Some Gayle are not Kohli.
   Statements:
   A) Some kohli is gayle. No gayle is virat. Some virat are Abraham.
   B) No kohli is virat. Some virat is gayle. Some gayle is Abraham.
   C) Some Abraham are gayle. All gayle is virat. No virat is kohli.
   D) All Abraham is gayle. No gayle is virat. All virat is kohli.
   E) None is correct
   
   View Answer

   Option C
   Explanation: In C) For I. Some+ All= Some=> Some Abraham are virat.
   For II. All+ No=No => No gayle is Kohli. Hence Some gayle are not kohli is also true.
    
2. Conclusions:
   I. No kite is sky
   II. Some thread are fly
   Statements:
   A) No fly is sky. Some kite is fly. All sky is thread.
   B) All kite is sky. No fly is sky. All fly is thread.
   C) All sky is fly. All kite is thread. No fly is kite.
   D) All kite is fly. Some thread is kite. No fly is sky.
   E) None is correct
   
   View Answer

   Option D
   Explanation: in D) for II. Some thread is kite + All kite is fly = Some + All= Some=> Some thread is fly
   For I. All kite is fly + No fly is sky. => All+ N0 = No=> No kite is sky.
    
3. Conclusions:
   I. Some bulk are book
   II. No cook is auto
   Statements:
   A) Some bulk is auto. Some auto is book. No book is cook.
   B) All cook is book. All auto is bulk. No book is auto.
   C) Some bulk is cook. All cook is book. No book is auto.
   D) All book is cook. No bulk is cook. All bulk is auto
   E) None is correct
   
   View Answer

   Option C
   Explanation: In C) For I. Some bulk is cook. All cook is book. => Some + All= Some=> Some bulk is book.
   For II. All + No = No=> No cook is auto

Direction (4-6): In which of the following options 4^th statement follows from the 1^st three statement?

4. A) Some hope are fight. No dollar is time. All first are time. All hope are dollar
   B) All hope are time. No dollar is time. All dollar is first. Some hope are not first.
   C) No first is time. Some first is hope. All hope is dollar. Some dollar are not time.
   D) All first is hope. Some hope is time. All time is dollar. Some first is time.
   E) None is correct
   
   View Answer

   Option C
   Explanation: In C) Using reverse (a) + (b) + (c) and solving in the order (b)+(c) i.e
   No time is first + [Some first is hope + All hope is dollar]=> No time is first + Some first is dollar => Some dollar are not time.
    
5. A) All company is graduate. No graduate is grow. No grow is pass. No company is pass.
   B) Some graduate is pass. All pass is grow. All grow is company. Some graduate is company
   C) Some grow is pass. No graduate is pass. All graduate is company. Some grow is not company.
   D) All pass is grow. All grow is graduate. Some graduate is company. Some pass is company
   E) None is correct
   
   View Answer

   Option B
   Explanation: Some+All+All = Some=> Some graduate is company.
    
6. A) Some real are not sector. All real are sector. No estate is frame. Some sector are not estate.
   B) Some real are estate. Some estate is sector. No frame is sector. Some real is frame.
   C) All real are estate. Some sector are not estate. Some sector are frame. Some sector are not real.
   D) All frame are sector. No sector is estate. All estate is real. Some frame are not real.
   E) None is correct
   
   View Answer

   Option C
   Explanation: Using the exceptional case II. i.e All A is B+ Some C is not B=> Some C is not A. We can find that in C) 4^th follows .from All real are estate. Some sector are not estate

Direction (7-9): In the following question, a set of four statements is followed by five conclusions, one of which DEFINITELY DOES NOT FOLLOW (or is not a possibility of occurrence). Choose that conclusion as the answer.

7. Statements:
   Some green are red
   No yellow is orange.
   Some pink are green
   All red is yellow.
   
   A) Some pink are red
   B) Some green are yellow.
   C) All red being orange is a possibility
   D) All yellow being red is a possibility
   E) No orange is red
   
   View Answer

   Option C
   Explanation: Using statement: All red is yellow. + No yellow is orange. => All+No= No=> No red is orange. Hence All red being orange is not possible. So C) is definitely False.
    
8. Statements:
   Some good are tax
   Some rate is deal
   All tax is less.
   No less is rate.
   
   A) Some good are not rate
   B) No tax is rate
   C) Some less are deal
   D) Some good are rate
   E) All deal being less is a possibility
   
   View Answer

   Option E
   Explanation: For E) No less is rate. + Some rate is deal => No + Some= Some not reversed=> Some deal are not less => when some deal are not less Then All deal cannot be less. Hence E) is definitely false.
    
9. Statements:
   No night is day.
   All night is noon
   No evening is summer.
   Some evening is noon.
   
   A) All day being noon is a possibility
   B) Some night are evening
   C) All night are summer is a possibility
   D) All noon are summer is a possibility
   E) Some noon are day
   
   View Answer

   Option D
   Explanation: In D) using reverse(c) + (d) => No summer is evening + Some evening is noon=> No+ Some= Some not reversed > Some noon is not summer. Hence D) is definitely false.

Directions: Which of the following options if included in the statement will make the given conclusion true?

10. Some theme is pink. + __________ + No orange is green
    Conclusion: Some theme are not green
    (i) Some pink is orange
    (ii) No pink is orange
    (iii) All pink is orange
    A) Only (i)
    B) Only (ii)
    C) Only (iii)
    D) Either (ii) or (iii)
    E) Either (i) or (iii)
    
    View Answer

    Option C
    Explanation: Some + No+ No= No conclusion
    Some + Some + No= No conclusion
    Some+ All+ No= Some Not.
    So to get a definite conclusion we need All pink is orange.