Syllogism problems
- 1. Statements:
Based on the statements given below select the alternative conclusion which is true according to the given statements.
Conclusions:
I. All students in my class are bright.
II. Sarla is not bright.
Options- A. Sarla must work hard
- B. Sarla is not a student of my class
- C. Some students are not bright
- D. None?bright ones are not students Discuss
Correct Answer: Sarla is not a student of my class
Explanation:
All student of a particular class (without any exception) are bright. And, Sarla is not bright. Therefore, Sarla cannot be the student of that particular class.
- 2. Statement:
(a) All girls do not like to marry.
(b) Some girls do not marry.
Assumptions:
I. All girls like to marry.
II. All girls do not marry.
Options- A. I is valid
- B. II is valid
- C. Both I and II are valid
- D. Both I and II are invalid Discuss
Correct Answer: Both I and II are invalid
Explanation:
None of the assumptions is valid. Assumption II is re-statement of the first statement.
- 3. Statement:
(I) All cities are towns.
(II) Some cities are villages.
Conclusions:
(I) All villages are towns.
(II) No village is a town.
(III) Some villages are towns.
Options- A. Only conclusion (III) follows
- B. Only conclusion (1) follows
- C. Only conclusion (II) follows
- D. None of these Discuss
Correct Answer: Only conclusion (III) follows
Explanation:
(i) All cities are towns ? Universal Affirmative (A - type).
(ii) Some cities are villages ? Particular Affirmative (I - type).
(iii) No village is a town ? Universal Affirmative (E - type).
(iv) Some villages are not towns ? Particular Negative (O type).
Some villages are cities. ?All cities are towns.
I + A ?I - type of Conclusion "Some villages are towns".
This is Conclusion III.
- 4. Which one is true?
I. All players are not tall.
II. All basketball players are tall.
III. All tall people are players.
IV. Some players are tall.
Options- A. IV
- B. III.
- C. II.
- D. I. Discuss
Correct Answer: II.
Explanation:
Statements 1 and 4 are more or less similar.
All tall people cannot be players.
So, Statement 2 seems to be true.
- 5. 'All the members of the Tennis club are members of the Badminton club too." "No woman plays Badminton".
Options- A. Some women play Tennis
- B. No member of the Tennis club plays Badminton
- C. Some women are members of the Tennis club
- D. No woman is a member of the Tennis club Discuss
Correct Answer: No woman is a member of the Tennis club
Explanation:
No woman plays badminton. Therefore, no woman plays tennis.
- 6. Statements:
Some Indians are educated.
Educated men prefer small families.
Conclusions:
(I) All small families are educated.
(II) Some Indians prefer small families.
Options- A. Only I follows
- B. Only II follows
- C. Both I and II follow
- D. Neither I nor II follows Discuss
Correct Answer: Only II follows
Explanation:
First statement is Particular Affirmative (I-type).
Second statement is Universal Affirmative (A-type)
Both the statements are already aligned. Thus,
Some Indians are educated. ? All Educated men prefer small families.
We know that,
I + A ? I-type Conclusion. Therefore, our derived Conclusion would be: "Some Indians prefer small families.
Venn-diagrams
- 7. All men are mortal.
Ramu is a man.
Options- A. No man is mortal
- B. Ramu is mortal
- C. Ramu is immortal
- D. All men are immortal Discuss
Correct Answer: Ramu is mortal
Explanation:
All men (without exception) are mortal. And, Ramu is a man. Therefore, Ramu is mortal.
- 8. Statements:
(a) All poets are intelligent.
(b) All singers are intelligent.
Conclusions:
I. All singers are poets.
II. Some intelligent persons are not singers.
Options- A. Only conclusion I follows
- B. Only conclusion II follows
- C. Either conclusion I or II follows
- D. Neither conclusion I nor II follows Discuss
Correct Answer: Neither conclusion I nor II follows
Explanation:
Both the Premises are Universal Affirmative (A - type). These two Premises are not aligned. Now take the Converse of one of the Premises to align them.
- 9. 'All beggars are poor.'
If the above statement is true, which of the following conclusions can be drawn?
Options- A. All those who are poor are beggars.
- B. If A is rich, then A is not a beggar.
- C. If A is not rich, then A is not a beggar.
- D. If A is a beggar, then A is not rich. Discuss
Correct Answer: If A is a beggar, then A is not rich.
Explanation:
If A is a beggar, then A is not rich.
- 10. Statements:
(i) All radios sold in that shop are of high standard.
(ii) Some of Murphy radios are sold in that shop.
Inferences:
I. All radios of high standard are manufactured by Murphy company,
II. Some of the Murphy radios are of high standard.
III. None of the Murphy radios is of high standard.
IV. Some of the Murphy radios of high standard are sold in that shop.
Options- A. I and II inferences only
- B. II and IV inferences only
- C. I and III inferences only
- D. I and IV inferences only Discuss
Correct Answer: II and IV inferences only
Explanation:
Since some of Murphy radios are sold in that shop which sells high standard radios. Therefore, some of the Murphy radios are of high standard.
More in Verbal Reasoning:
Programming
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