Statement and Conclusion problems
- 1. All windows are doors. No door is wall Conclusions: 1. No window is wall 2. No Wall is door
Options- A. Only 1 follows
- B. Only 2 follows
- C. Either 1 or 2 follows
- D. Both 1 and 2 follow Also asked in: GRE
Correct Answer: Both 1 and 2 follow
Explanation:
Since both the premises are universal and one premise is negative, the conclusion must be universal negative. Also, the conclusion should not contain the middle term. So, 1 follows.
However, 2 is the converse of the second premise and thus it also holds.
- 2. Artists are generally whimsical. Some of them are frustrated. Frustrated people are prone to be drug addicts. Based on these statements which of the following conclusions is true?
Options- A. All frustrated people are drug addicts
- B. Frustrated people are whimsical
- C. All drug addicts are artists
- D. Some artists may be drug addicts Also asked in: CAT, GATE, GRE, Bank Clerk, Bank PO, Project Manager, Software Architect, Bank Exams
Correct Answer: Some artists may be drug addicts
- 3. Some boys are men. No man is black Conclusions: 1. Some boys are not black 2. Some men are boys
Options- A. Only 1 follows
- B. Only 2 follows
- C. Either 1 or 2 follows
- D. Neither 1 nor 2 follows Also asked in: GRE
Correct Answer: Only 1 follows
Explanation:
Since one premise is negative , the conclusion must be negative. so 2 does not follow and only 1 follows
- 4. All snakes are trees. Some trees are roads. All roads are mountains. Conclusions: 1. Some mountains are snakes 2. Some roads are snakes 3. Some mountains are trees
Options- A. Only 1 follows
- B. Only 2 follows
- C. Only 3 follows
- D. Both 1 and 2 follow Discuss
Correct Answer: Only 3 follows
Explanation:
All snakes are trees. Some trees are roads.
Since the middle term is not distributed even once in the premises,so no conclusion follows
Some trees are roads. All roads are mountains
Since one primise is particular,the conclusion must be particularand should'nt contain the middle term. So,it follows that 'Some trees are mountains'. 3 is the converse of this statement and so it holds.
All snakes are trees. Some trees are mountains.
Since the middle term is not distributed even once in the preises, so no definite conclusion follows
- 5. Some blades are hammers. Some hammers are knives. Some knives are axes. Conclusions: 1. Some axes are hammers 2. Some knives are blades 3. Some axes are blades
Options- A. None follows
- B. Only 1 follows
- C. Only 2 follows
- D. Only 3 follows Discuss
Correct Answer: None follows
Explanation:
Since each combination has of premises has 2 particular premises, so no defenite conclusion follows
- 6. Some mountains are hillocks. Some mountains are rivers. Some mountains are valleys. Conclusions: 1. All mountains are either hillocks or rivers or valleys 2. No valley is river 3. Some river are valleys
Options- A. None follows
- B. Only 1 follows
- C. Only 2 and 3 follow
- D. Only 3 follows Discuss
Correct Answer: Only 2 and 3 follow
Explanation:
2 and 3 are the satements involving the extreme terms of the last 2 premises and form a complementary pair. Thus either 2 or 3 follows
- 7. Some hills are rivers. Some rivers are desrets. All desrets are roads. Conclusions: 1. Some roads are rivers 2. Some roads are hills 3. Some deserts are hills
Options- A. None follows
- B. Only 1 follows
- C. Only 1 and 2 follows
- D. All follow Discuss
Correct Answer: Only 1 follows
Explanation:
Some hills are rivers. Some rivers are deserts.
Since both the premises are particular, no defenite conclusion follows.
Some rivers are deserts. All deserts are roads
Since one premise is particular,the conclusion must be particular and should'nt contain the middle term. Since it follows that 'Some rivers are roads'. 1 is the converse of this conclusion and so it holds.
- 8. Some tapes are discs. Some discs are cassettes. Some cassettes are songs Conclusions: 1. Some songs are discs 2. Some cassettes are tapes 3. Some songs are tapes 4. No song is a disc
Options- A. Only either 1 or 4 follows
- B. Only either 2 or 4 follows
- C. Only 3 and 4 follow
- D. Only 3 and either 2 or 4 follows Discuss
Correct Answer: Only either 1 or 4 follows
Explanation:
Since each combiantion of premise contain 2 particular premises, no definite conclusion can be drawn. However, 1 and 4 involve the extreme terms of 2nd and 3rd premises and form a complementary pair. Thus either 1 or 4 follows.
- 9. Some blankets are beds. Some pillows are blankets. All beds are pillows Conclusions: 1. Some blankets are pillows 2. Some pillows are beds 3. Some beds are blankets
Options- A. Only either 1 or 2 follows
- B. Only 1 and either 2 or 3 follows
- C. Only 3 and either 1 or 2 follows
- D. All 1 ,2 and 3 follow Discuss
Correct Answer: All 1 ,2 and 3 follow
Explanation:
1 is the converse of 2nd premise,2 is the converse of 3rd premiseand 3 is the converse of 1st premise and such, all the 3 follow
- 10. Find which of the two conclusions I and II given below is/are definitely true from the the given statements. Statements: I > W > T > N, I = F = G = C Conclusions: I. W > I II. C > N
Options- A. Only Conclusion I is true
- B. Only Conclusion II is true
- C. Both conclusions I & II are true
- D. Neither conclusion I nor II is true Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, TOEFL, Bank Clerk, Bank PO
Correct Answer: Only Conclusion II is true
Explanation:
From the given Statements :
1. I > W > T > N
2. F = G = C
Conclusions are :
I. W > I (False)
II. C > N (True)
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