Logical Reasoning · Logic
Syllogisms: placement practice questions
30 moderate questions in the pattern of campus placement tests. Pick an option to check your answer, then open the step-by-step solution.
Q1Reasoning · SyllogismsModerate
Statements: All buses are cars. Some buses are trains.
Conclusions: I. No buses are cars. II. Some cars are not buses.
Solution
'No buses are cars.' does not follow: a diagram can satisfy both statements while it is false.
'Some cars are not buses.' does not follow: a diagram can satisfy both statements while it is false.
Answer: (D) Neither I nor II follows
Q2Reasoning · SyllogismsModerate
Statements: Some lakes are rivers. All ponds are lakes.
Conclusions: I. No rivers are ponds. II. Some rivers are ponds.
Solution
'No rivers are ponds.' does not follow: a diagram can satisfy both statements while it is false.
'Some rivers are ponds.' does not follow: a diagram can satisfy both statements while it is false.
The two conclusions are a complementary pair (one of them must be true), so either I or II follows.
Answer: (C) Either I or II follows
Q3Reasoning · SyllogismsModerate
Statements: Some cars are buses. Some trains are buses.
Conclusions: I. All buses are trains. II. All cars are trains.
Solution
'All buses are trains.' does not follow: a diagram can satisfy both statements while it is false.
'All cars are trains.' does not follow: a diagram can satisfy both statements while it is false.
Answer: (D) Neither I nor II follows
Q4Reasoning · SyllogismsModerate
Statements: All phones are laptops. All tablets are laptops.
Conclusions: I. Some phones are not laptops. II. All laptops are phones.
Solution
'Some phones are not laptops.' does not follow: a diagram can satisfy both statements while it is false.
'All laptops are phones.' does not follow: a diagram can satisfy both statements while it is false.
Answer: (D) Neither I nor II follows
Q5Reasoning · SyllogismsModerate
Statements: Some teachers are doctors. No singers are teachers.
Conclusions: I. Some doctors are singers. II. No doctors are singers.
Solution
'Some doctors are singers.' does not follow: a diagram can satisfy both statements while it is false.
'No doctors are singers.' does not follow: a diagram can satisfy both statements while it is false.
The two conclusions are a complementary pair (one of them must be true), so either I or II follows.
Answer: (C) Either I or II follows
Q6Reasoning · SyllogismsModerate
Statements: No boxes are chairs. Some boxes are bags.
Conclusions: I. Some bags are chairs. II. No bags are boxes.
Solution
'Some bags are chairs.' does not follow: a diagram can satisfy both statements while it is false.
'No bags are boxes.' does not follow: a diagram can satisfy both statements while it is false.
Answer: (D) Neither I nor II follows
Q7Reasoning · SyllogismsModerate
Statements: Some queens are kings. Some queens are rulers.
Conclusions: I. Some kings are rulers. II. No kings are rulers.
Solution
'Some kings are rulers.' does not follow: a diagram can satisfy both statements while it is false.
'No kings are rulers.' does not follow: a diagram can satisfy both statements while it is false.
The two conclusions are a complementary pair (one of them must be true), so either I or II follows.
Answer: (C) Either I or II follows
Q8Reasoning · SyllogismsModerate
Statements: All books are pens. All tables are books.
Conclusions: I. No pens are books. II. No tables are books.
Solution
'No pens are books.' does not follow: a diagram can satisfy both statements while it is false.
'No tables are books.' does not follow: a diagram can satisfy both statements while it is false.
Answer: (D) Neither I nor II follows
Q9Reasoning · SyllogismsModerate
Statements: No cats are dogs. Some birds are dogs.
Conclusions: I. No cats are birds. II. Some cats are birds.
Solution
'No cats are birds.' does not follow: a diagram can satisfy both statements while it is false.
'Some cats are birds.' does not follow: a diagram can satisfy both statements while it is false.
The two conclusions are a complementary pair (one of them must be true), so either I or II follows.
Answer: (C) Either I or II follows
Q10Reasoning · SyllogismsModerate
Statements: Some teachers are doctors. All teachers are singers.
Conclusions: I. All singers are teachers. II. Some singers are doctors.
Solution
'All singers are teachers.' does not follow: a diagram can satisfy both statements while it is false.
'Some singers are doctors.' is true in every possible diagram, so it follows.
Answer: (B) Only conclusion II follows
Q11Reasoning · SyllogismsModerate
Statements: No stones are bricks. All walls are stones.
Conclusions: I. Some walls are bricks. II. No walls are bricks.
Solution
'Some walls are bricks.' does not follow: a diagram can satisfy both statements while it is false.
'No walls are bricks.' is true in every possible diagram, so it follows.
Answer: (B) Only conclusion II follows
Q12Reasoning · SyllogismsModerate
Statements: No buses are cars. Some trains are buses.
Conclusions: I. No trains are cars. II. Some trains are cars.
Solution
'No trains are cars.' does not follow: a diagram can satisfy both statements while it is false.
'Some trains are cars.' does not follow: a diagram can satisfy both statements while it is false.
The two conclusions are a complementary pair (one of them must be true), so either I or II follows.
Answer: (C) Either I or II follows
Q13Reasoning · SyllogismsModerate
Statements: No cups are plates. Some bowls are plates.
Conclusions: I. No bowls are cups. II. Some bowls are cups.
Solution
'No bowls are cups.' does not follow: a diagram can satisfy both statements while it is false.
'Some bowls are cups.' does not follow: a diagram can satisfy both statements while it is false.
The two conclusions are a complementary pair (one of them must be true), so either I or II follows.
Answer: (C) Either I or II follows
Q14Reasoning · SyllogismsModerate
Statements: No shirts are caps. All shoes are caps.
Conclusions: I. Some shirts are shoes. II. No shirts are shoes.
Solution
'Some shirts are shoes.' does not follow: a diagram can satisfy both statements while it is false.
'No shirts are shoes.' is true in every possible diagram, so it follows.
Answer: (B) Only conclusion II follows
Q15Reasoning · SyllogismsModerate
Statements: All mangoes are apples. No mangoes are fruits.
Conclusions: I. No apples are fruits. II. No mangoes are apples.
Solution
'No apples are fruits.' does not follow: a diagram can satisfy both statements while it is false.
'No mangoes are apples.' does not follow: a diagram can satisfy both statements while it is false.
Answer: (D) Neither I nor II follows
Q16Reasoning · SyllogismsModerate
Statements: All doctors are teachers. No teachers are singers.
Conclusions: I. Some singers are doctors. II. Some singers are teachers.
Solution
'Some singers are doctors.' does not follow: a diagram can satisfy both statements while it is false.
'Some singers are teachers.' does not follow: a diagram can satisfy both statements while it is false.
Answer: (D) Neither I nor II follows
Q17Reasoning · SyllogismsModerate
Statements: All apples are mangoes. Some mangoes are fruits.
Conclusions: I. No fruits are apples. II. Some fruits are apples.
Solution
'No fruits are apples.' does not follow: a diagram can satisfy both statements while it is false.
'Some fruits are apples.' does not follow: a diagram can satisfy both statements while it is false.
The two conclusions are a complementary pair (one of them must be true), so either I or II follows.
Answer: (C) Either I or II follows
Q18Reasoning · SyllogismsModerate
Statements: No shirts are caps. No caps are shoes.
Conclusions: I. All caps are shoes. II. No shoes are caps.
Solution
'All caps are shoes.' does not follow: a diagram can satisfy both statements while it is false.
'No shoes are caps.' is true in every possible diagram, so it follows.
Answer: (B) Only conclusion II follows
Q19Reasoning · SyllogismsModerate
Statements: All cups are plates. No plates are bowls.
Conclusions: I. Some plates are not bowls. II. No cups are bowls.
Solution
'Some plates are not bowls.' is true in every possible diagram, so it follows.
'No cups are bowls.' is true in every possible diagram, so it follows.
Answer: (C) Both I and II follow
Q20Reasoning · SyllogismsModerate
Statements: Some doctors are teachers. No teachers are singers.
Conclusions: I. Some teachers are not doctors. II. No singers are teachers.
Solution
'Some teachers are not doctors.' does not follow: a diagram can satisfy both statements while it is false.
'No singers are teachers.' is true in every possible diagram, so it follows.
Answer: (B) Only conclusion II follows
Q21Reasoning · SyllogismsModerate
Statements: All books are pens. Some tables are books.
Conclusions: I. No tables are pens. II. Some tables are pens.
Solution
'No tables are pens.' does not follow: a diagram can satisfy both statements while it is false.
'Some tables are pens.' is true in every possible diagram, so it follows.
Answer: (B) Only conclusion II follows
Q22Reasoning · SyllogismsModerate
Statements: Some shirts are caps. All caps are shoes.
Conclusions: I. No shirts are shoes. II. Some shirts are shoes.
Solution
'No shirts are shoes.' does not follow: a diagram can satisfy both statements while it is false.
'Some shirts are shoes.' is true in every possible diagram, so it follows.
Answer: (B) Only conclusion II follows
Q23Reasoning · SyllogismsModerate
Statements: All pens are books. All books are tables.
Conclusions: I. Some pens are books. II. Some tables are pens.
Solution
'Some pens are books.' is true in every possible diagram, so it follows.
'Some tables are pens.' is true in every possible diagram, so it follows.
Answer: (C) Both I and II follow
Q24Reasoning · SyllogismsModerate
Statements: Some flowers are roses. No flowers are plants.
Conclusions: I. No plants are flowers. II. Some plants are roses.
Solution
'No plants are flowers.' is true in every possible diagram, so it follows.
'Some plants are roses.' does not follow: a diagram can satisfy both statements while it is false.
Answer: (A) Only conclusion I follows
Q25Reasoning · SyllogismsModerate
Statements: All cups are plates. No bowls are plates.
Conclusions: I. No plates are bowls. II. Some cups are bowls.
Solution
'No plates are bowls.' is true in every possible diagram, so it follows.
'Some cups are bowls.' does not follow: a diagram can satisfy both statements while it is false.
Answer: (A) Only conclusion I follows
Q26Reasoning · SyllogismsModerate
Statements: All planets are stars. Some moons are planets.
Conclusions: I. Some planets are stars. II. No moons are planets.
Solution
'Some planets are stars.' is true in every possible diagram, so it follows.
'No moons are planets.' does not follow: a diagram can satisfy both statements while it is false.
Answer: (A) Only conclusion I follows
Q27Reasoning · SyllogismsModerate
Statements: All pens are books. Some books are tables.
Conclusions: I. Some tables are books. II. Some tables are pens.
Solution
'Some tables are books.' is true in every possible diagram, so it follows.
'Some tables are pens.' does not follow: a diagram can satisfy both statements while it is false.
Answer: (A) Only conclusion I follows
Q28Reasoning · SyllogismsModerate
Statements: Some pens are books. No books are tables.
Conclusions: I. Some books are pens. II. No pens are tables.
Solution
'Some books are pens.' is true in every possible diagram, so it follows.
'No pens are tables.' does not follow: a diagram can satisfy both statements while it is false.
Answer: (A) Only conclusion I follows
Q29Reasoning · SyllogismsModerate
Statements: All rivers are lakes. No ponds are lakes.
Conclusions: I. Some rivers are not ponds. II. All lakes are rivers.
Solution
'Some rivers are not ponds.' is true in every possible diagram, so it follows.
'All lakes are rivers.' does not follow: a diagram can satisfy both statements while it is false.
Answer: (A) Only conclusion I follows
Q30Reasoning · SyllogismsModerate
Statements: All kings are queens. No queens are rulers.
Conclusions: I. Some rulers are not queens. II. All queens are rulers.
Solution
'Some rulers are not queens.' is true in every possible diagram, so it follows.
'All queens are rulers.' does not follow: a diagram can satisfy both statements while it is false.
Answer: (A) Only conclusion I follows