Reasoning: Syllogism Set 12

Direction (1-3): Each of the following questions consists of six statements followed by options consisting of three statements put together in a specific order. Choose the option that indices a combination where the third statement can be logically deduced from the first two statements and that option will be your answer.

1. I. Some orange is white.
   II. Some white is black.
   III. All black is orange.
   IV. Some green are blue.
   V. No blue is white.
   VI. All red are green.
   A) [IV, VI, V]
   B) [I, II, V]
   C) [II, III, I]
   D) [IV, V, VI]
   E) None is correct
   
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   Option C
   Some white is black., All black is orange. Gives Some orange is white.
   
2. I. Some red is green.
   II. All blue is black.
   III. Some blue is white.
   IV. Some red is white.
   V. Some black is blue.
   VI. Some white is black.
   A) [VI, IV, I]
   B) [II, III, VI]
   C) [I, II, IV]
   D) [I , V, III]
   E) None is correct
   
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   Option B
   All blue is black. and Some blue is white.
   Gives Some white is black.
   
3. I. No red is green.
   II. Some white is red.
   III. All blue is white.
   IV. Some green is blue.
   V. No white is black.
   VI. No blue is black.
   A) [I, II, V]
   B) [II, III, V]
   C) [I, IV, VI]
   D) [III, V, VI]
   E) None is correct
   
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   Option D

Direction (4-8): Each option contains some statements. Determine from which statements the given two conclusions follow.

4. Conclusions: All tiger is dog. No lion is cat.
   Statements:
   A) All lion is horse. No horse is cat. Some cat is dog. All dogs are tiger. Some tiger is monkey.
   B) All horse is monkey. Some monkey is dog. Some dog is cat. All cats are tiger. No tiger is lion.
   C) All tiger is cat. All cats are dog. Some lion is monkey. All monkeys are horse. No lion is dog.
   D) Some horse is monkey. All monkeys are cat. Some cat is lion. No lion is dog. All dogs are tiger.
   E) None.
   
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   Option C
5. Conclusions: Some pencil is eraser. No scale is pen.
   Statements:
   A) Some books are pencil. No pencil is scale. All erasers are scale. Some scales are pen. All pens are copy.
   B) All books are scale. All pens are pencil. Some pencils are eraser. All erasers are copy. No scale is pencil.
   C) Some books are pencil. All pencils are copy. No copy is pen. Some pen is eraser. No eraser is scale.
   D) Some books are pencil. No pencil is eraser. No eraser is copy. Some copy are scale. All scales are pen.
   E) None
   
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   Option B 
6. Conclusions: All white being green is a possibility. Some grey are not blue.
   STATEMENTS:
   A) Some blue are white. All white us grey. No grey is green.
   B) All blue are white. All white is grey. Some grey is green.
   C) All blue are white. No white is grey. Some grey is green.
   D) Some blue are white. Some white is grey. All grey is green.
   E) None
   
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   Option C
   
7. Conclusions: Some green are white. Some red are white.
   Statements:
   A) All white are yellow. All yellow are red. Some red are green.
   B) All white are yellow. Some yellow are red. All red are green.
   C) Some white are yellow. All yellow are red. All red are green
   D) All white are yellow. All yellow are red. Some red are green.
   E) None
   
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   Option C
   
8. Conclusions: Some red are not black, Some green are white.
   Statements:
   A) Some white are not black. All white are red. All red are green.
   B) All red are white. Some black are not white. Some red are green.
   C) All white are black. No black is red. No red are green.
   D) Some white are black. No black is red. Some red are green
   E) None
   
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   Option A
   
   

Direction (9-10): Statements are followed by 4 conclusions. Determine which conclusion(s) follow(s) from the given statements.

9. Statements: All H are G. Some G are D. No D is C. Some C are T.
   Conclusions:
   I. No C is G
   II. Some G are not C.
   III. All D are H is a possibility.
   IV. All D are T is a possibility.
   A) Only II, III and either I or IV follow.
   B) Only III follows
   C) All follows.
   D) Only II, III and IV follow
   E) None of these
   
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   Option D
   Explanation:
   I is not definite
   All G are C is not a possibility, so II follows.
   III is a possibility.
   IV is a possibility as
   
10. Statements: All B are F. Some H are F. All P are H. No J is F.
    Conclusions:
    I. All J being H is a possibility
    II. Some P are not J
    III. Some H are not J.
    IV. Some P are F
    A) Only II, III and IV follow.
    B) Only I and III follows
    C) All follows.
    D) Only I, III and IV follow
    E) None of these
    
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    Option B
    Explanation:
    I is a possibility as
    
    II – All P are J is a possibility, so II does not follow. (as seen in above venn, if all P are J, then also all statements agree, so it is a possibility)
    III – All H are J is not a possibility, so III follows. (if all H are J, some F will be J which is not possible)
    IV is not definite