Q 39. Statement and Arguments

Consider two Statement and a Question:

1. Statement-1: Each of A and D is heavier than each of B, E and F, but none of them is the heaviest.
2. Statement-2: A is heavier than D, but is lighter than C.
Question: Who is the heaviest among A, B, C, D and E?

Which one of the following is correct in respect of the Statements and the Question?

a) Statement-1 alone is sufficient to answer the Question
b) Statement-2 alone is sufficient to answer the Question
c) Both Statement-1 and Statement-2 are required to answer the Question
d) Neither Statement-1 alone nor Statement-2 alone is sufficient to answer the Question
Answer: a
Practice This Question in Exam Mode

  •   Statement 1:
  •   A & D > B, E, F
  •   But none is the Heaviest.
  •   So, among A, B, C, D and E
  •   it should be C> A, D>B, E
  •   Thus this statement alone is sufficient to give the answer.
  •   Statement 2 is not answering the status of E and B. thus this alone cannot give the answer.
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Q 47. Statement and Arguments

Consider two Statements and a Question:

1. Statement-1: The last day of the month is a Wednesday.
2. Statement-2: The third Saturday of the month was the seventeenth day. 
Question: What day is the fourteenth of the given month? 
Which one of the following is correct in respect of the Statements and the Question?

a) Statement-1 alone is sufficient to answer the Question
b) Statement-2 alone is sufficient to answer the Question
c) Both Statement-1 and Statement-2 are required to answer the Question
d) Neither Statement-1 alone nor Statement-2 alone is sufficient to answer the Question
Answer: b
Practice This Question in Exam Mode

  •   Since we do not know which month exactly, we are talking about, statement 1 alone cannot alone answer the question.
  •   But as we know 17th day of the month i.e., Saturday we can easily decide 14th day of the same month i.e. 3rd before Saturday i.e., Wednesday. Thus, statement 2 alone is sufficient.
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Q 17. Statement and Arguments

Two Statements S1 and S2 are given below followed by a question:

S1: In a book of 51 pages, there are not more than two diagrams on any page.

S2: On each page, there is at least one diagram.

Question: Are there more than 100 diagrams in this book? 

Which one of the following is correct in respect of the above Statements and the Question?

a) Both S1 and S2 together are sufficient but neither S1 alone nor S2 alone is sufficient
b) S1 alone is sufficient
c) S1 and S2 together are not sufficient
d) S2 alone is sufficient
Answer: c
Practice This Question in Exam Mode

If we use the two statements together, then we know that there are 51 pages in the book. Every page must have 1 or 2 images.

So, maximum possible images in the book = 51 × 2 = 102

And the minimum possible images in the book = 51 × 1 = 51

But we still cannot answer whether there are more than 100 figures in the book. So, even S1 and S2 together are not sufficient to answer the question. 

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Q 28. Statement and Arguments

Two Statements S1 and S2 are given below with regard to four numbers P, Q, R and S followed by a Question: 
S1: R is greater than P as well as Q. 
S2: S is not the largest one. 
Question: Among four numbers P, Q, R and S, which one is the largest? 
Which one of the following is correct in respect of the above Statements and the Question?

a) S1 alone is sufficient to answer the Question.
b) S2 alone is sufficient to answer the Question.
c) S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.
d) S1 and S2 together are not sufficient to answer the Question.
Answer: c
Practice This Question in Exam Mode

Option C: S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.
   ● Statement S1: R is greater than P as well as Q.  
           ○ From this statement alone, we know that R > P and R > Q. However, we do not have any information about how R compares to S. Therefore, S1 alone is not sufficient to determine which number is the largest.
     ● Statement S2: S is not the largest one.  
           ○ This statement alone tells us that S is not the largest, but it does not provide any information about the relative sizes of P, Q, and R. Therefore, S2 alone is not sufficient to determine which number is the largest.
     ● Combining S1 and S2:  
           ○ From S1, we know R > P and R > Q.
           ○ From S2, we know S is not the largest.
           ○ Combining these, we can conclude that R must be the largest because it is greater than both P and Q (from S1), and S cannot be the largest (from S2).
     Therefore, both statements together are sufficient to determine that R is the largest number, but neither statement alone is sufficient. Hence, the correct answer is Option C.
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Q 29. Statement and Arguments

Two Statements S1 and S2 are given below followed by a Question:
S1: n is a prime number. 
S2: n leaves a remainder of 1 when divided by 4.
Question: If n is a unique natural number between 10 and 20, then what is n?
Which one of the following is correct in respect of the above Statements and the Question?

a) S1 alone is sufficient to answer the Question.
b) S2 alone is sufficient to answer the Question.
c) S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.
d) S1 and S2 together are not sufficient to answer the Question.
Answer: d
Practice This Question in Exam Mode

  It’s given that n is a unique natural number between 10 and 20.

  According to S1, n is a prime number.

  So, our number n may be: 11, 13, 17 or 19

  According to S2, on dividing n by 4 we get a remainder of 1. So, n can be: 13, 17

  Either of the two statements alone is not sufficient to answer the question.

  Even if we read both the statements together, we do not get a unique value of n. Instead, we end up with two possible values of n, i.e. 13 & 17.

  So, we can say that even S1 and S2 together are not sufficient to answer the question.

  Hence, option (d) is the answer.

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Q 30. Statement and Arguments

Two Statements S1 and S2 are given below with regard to two numbers followed by a Question: 
S1: Their product is 21. 
S2: Their sum is 10. 
Question: What are the two numbers? 
Which one of the following is correct in respect of the above Statements and the Question?

a) S1 alone is sufficient to answer the Question.
b) S2 alone is sufficient to answer the Question.
c) S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.
d) S1 and S2 together are not sufficient to answer the Question.
Answer: c
Practice This Question in Exam Mode

  According to S1, the product of numbers is 21.

  So, numbers can be: (3, 7) or (1, 21)

  According to S2, sum of numbers is 10.

  So, numbers can be: (1, 9), (2, 8), (3, 7), (4, 6) or (5, 5)

  Either of the two statements alone is not sufficient to answer the question.

  If we read both the statements together, we can see that the required two numbers with product of 21 and sum of 10 are  (3, 7)

  Hence, we can say that both S1 and S2 together are sufficient to answer the question.

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Q 9. Statement and Arguments

With reference to the above information, which one among the following statements must be true?

a) Some supporters of party Y' did not agree for the alliance with the 'party X'.
b) There is at least one supporter of 'party Y' who knew some supporters of 'party X' as a friend.
c) No supporters of 'party X supported Z's campaign strategy.
d) No supporters of 'party X' knew 2.
Answer: b
Practice This Question in Exam Mode

The line “but some of them had friends in ‘party Y’” clearly indicates statement (b) is correct.
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Q 10. Statement and Arguments

With reference to the above information, consider the following statements:
 1. Some supporters of 'party X' knew Z.
 2. Some supporters of 'party X', who opposed Z's campaign strategy, knew Z.
 3. No supporters of 'party X' supported Z's campaign strategy.
 Which of the statements given above is/are not correct?

a) 1 only
b) 2 and 3 only
c) 3 only
d) 1, 2 and 3
Answer: c
Practice This Question in Exam Mode

Option C: 3 only
     ● Statement 1: "Some supporters of 'party X' knew Z."  
       This statement is not necessarily incorrect. It is possible for some supporters of 'party X' to know Z, so this statement could be correct.
     ● Statement 2: "Some supporters of 'party X', who opposed Z's campaign strategy, knew Z."  
       This statement is also not necessarily incorrect. It is possible for some supporters of 'party X' to both oppose Z's campaign strategy and know Z, so this statement could be correct.
     ● Statement 3: "No supporters of 'party X' supported Z's campaign strategy."  
       This statement is definitive and claims that none of the supporters of 'party X' supported Z's campaign strategy. If there is any evidence or possibility that at least one supporter of 'party X' supported Z's campaign strategy, then this statement would be incorrect.
     Since the question asks for the statement(s) that are not correct, and only statement 3 is definitively incorrect based on the given options, the correct answer is Option C: 3 only.
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Q 15. Statement and Arguments

Consider the following:
Statement: Good voice is a natural gift but one has to keep practising to improve and excel well in the field of music.
Conclusions: 
I. Natural gifts need nurturing and care. 
II. Even though one's voice is not good, one can keep practising.
Which one of the following is correct in respect of the above statement and conclusions?

a) Only conclusion I follows from the statement.
b) Only conclusion II follows from the statement.
c) Either conclusion I or conclusion II follows from the statement.
d) Neither conclusion I nor conclusion II follows from the statement.
Answer: a
Practice This Question in Exam Mode

Option A: Only conclusion I follows from the statement.
     ● Statement Analysis: The statement mentions that having a good voice is a natural gift, but it also emphasizes the importance of practice to improve and excel in music. This implies that even natural talents require effort and dedication to be fully developed.  
     ● Conclusion I: "Natural gifts need nurturing and care."  
           ○ This conclusion logically follows from the statement. The statement suggests that even though a good voice is a natural gift, it requires practice (nurturing and care) to improve and excel. Therefore, Conclusion I is supported by the statement.
     ● Conclusion II: "Even though one's voice is not good, one can keep practising."  
           ○ The statement does not address the scenario of someone without a good voice. It specifically talks about those who have a natural gift (a good voice) and the need for practice. Therefore, Conclusion II introduces an idea not covered by the statement and does not logically follow from it.
     ● Conclusion: Based on the analysis, only Conclusion I logically follows from the statement, making Option A the correct choice.  
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Q 44. Statement and Arguments

Consider the given statement and the two conclusions that follow:
Statement: Morning walk is good for health.
Conclusions: 
1. All healthy people go for morning walk. 
2. Morning walk is essential for maintaining good health. 
What is/are the valid conclusion/conclusions?

a) 1 only
b) 2 only
c) Both 1 and 2
d) Neither 1 nor 2
Answer: d
Practice This Question in Exam Mode

  •   If “Morning walk is good for health”, it cannot mean that “All healthy people go for morning walk”.
  •   Morning walk is not the essential requirement.
  •   Hence, the correct answer is option (d)
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Q 18. Statement and Arguments

Consider the following statements:
 1. The rate of population growth is increasing in the country
 2. The death rate is declining faster in the country compared to birth rate
 3. The birth rate is declining faster in the country compared to death rate
 4. Rural-urban migration is taking place regularly in the country
 Which one of the following conclusions may be true in the light of the above facts?

a) The rate of population growth is increasing due to rural-urban migration
b) The rate of population growth is increasing due to decline in death rate only
c) The rate of population growth is increasing due to increase in birth rate only
d) The rate of population growth is increasing due to faster decline in death rate than in birth rate
Answer: d
Practice This Question in Exam Mode

  •   Option (a) is wrong.
  •   Option (c) is wrong as per given statements.
  •   Option (b) is incomplete.
  •   Hence, option (d) is best.
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Q 19. Statement and Arguments

Geeta: Naresh has become a better boxer since he started meditation. Radha: Impossible A boxer's most important asset is his aggressiveness. Radha's statement reflects her belief that

a) meditation tends to make a person less aggressive.
b) meditation has little or no effect on the person who practises it.
c) Naresh was a poor boxer earlier because he was not aggressive enough.
d) Naresh would not have taken to meditation as he was a boxer.
Answer: a
Practice This Question in Exam Mode

Radha did not accept the argument that a person becomes a better boxer after meditation. The reason for this is that, a boxer, according to her, should be aggressive. This indicates that Radha believes that meditation makes a person less aggressive.
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Q 56. Statement and Arguments

Consider the following statements:
 1. Some claim to have seen UFOS (Unidentified Flying Objects).
 2. Life on other heavenly bodies is considered to be a possibility.
 3. Voyage to space is now an established fact.
 From the above statements, it may be concluded that:

a) UFOs are heavenly bodies
b) UFOs are sent from other heavenly bodies
c) Some living species in other heavenly bodies are more intelligent than man
d) Nothing definite can be said about the UFOS
Answer: d
Practice This Question in Exam Mode

from the given statements, it may be concluded that nothing definite can be said about the UFOs.
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Q 9. Statement and Arguments

Consider the following statements:
 1. A primary group is relatively smaller in size.
 2. Intimacy is an essential characteristic of a primary group.
 3. A family may be an example of a primary group.
 In the light of the above statements, which one of the following is true?

a) All families are primary groups.
b) All primary groups are families.
c) A group of smaller size is always a primary group.
d) Members of a primary group know each other intimately.
Answer: d
Practice This Question in Exam Mode

Option (a) is incorrect because statement 3 says that a family may be an example of primary group and not that all families are. (b) is incorrect because we are told by statement 3 that a family may be a primary group and nothing about all primary groups. (c) is also incorrect because Statement 1 says that a primary group is relatively smaller in size and not whether it is actually small or not (d) is correct, Statement 2 tells us that intimacy is an essential characteristic of a primary group which means that the members of a primary group know each other intimately.

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Q 19. Statement and Arguments

During the last summer vacation, Ankit went to a summer camp where he took part in hiking, swimming and boating. This summer, he is looking forward to a music camp where he hopes to sing, dance and learn to play the guitar. Based on the above information, four conclusions, as given below, have been made. Which one of these logically follows from the information given above?

a) Ankit's parents want him to play the guitar.
b) Ankit prefers music to outdoor activities.
c) Ankit goes to some type of camp every summer.
d) Ankit likes to sing and dance.
Answer: d
Practice This Question in Exam Mode

Option D: Ankit likes to sing and dance.
         ○ The passage provides information about Ankit's activities during two different summer camps. Last summer, he participated in hiking, swimming, and boating, which are outdoor activities. This summer, he is looking forward to a music camp where he hopes to sing, dance, and learn to play the guitar.
     ● Option A: There is no information provided about Ankit's parents' desires or preferences, so this conclusion does not logically follow from the given information.  
     ● Option B: While Ankit is looking forward to a music camp this summer, there is no explicit comparison made between his preference for music and outdoor activities. Therefore, this conclusion cannot be logically drawn from the information provided.  
     ● Option C: Although Ankit attended a summer camp last year and plans to attend another this year, there is no information confirming that he goes to a camp every summer. Thus, this conclusion is not supported by the given information.  
     ● Option D: The passage states that Ankit hopes to sing and dance at the music camp. This indicates an interest or liking for these activities, making this conclusion logically follow from the information provided.  
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Q 21. Statement and Arguments

Ten new TV shows started in January – 5 sitcoms, 3 drama and 2 news magazines. By April, only seven of the new shows were still on, five of them being sitcoms. Based on the above information, four conclusions, as given below, have been made. Which one of these logically follows from the information given above?

a) Only one news magazine show is still on.
b) Only one of the drama shows is still on.
c) At least one discontinued show was a drama.
d) Viewers prefer sitcoms over drama.
Answer: c
Practice This Question in Exam Mode

Option C: At least one discontinued show was a drama.
     ● Statement Analysis:  
           ○ Initially, there were 10 new TV shows: 5 sitcoms, 3 dramas, and 2 news magazines.
           ○ By April, 7 shows were still on, and 5 of these were sitcoms.
     ● Logical Deduction:  
           ○ Since 5 sitcoms are still on, all the sitcoms that started in January are still airing.
           ○ This leaves 2 shows that are still on, which must be from the drama or news magazine categories.
           ○ Originally, there were 3 drama shows and 2 news magazines. Since only 2 non-sitcom shows are still on, at least one of the drama shows must have been discontinued.
     ● Option Analysis:  
       ● Option A: Only one news magazine show is still on.  
             ○ This is possible but not certain, as both news magazines could still be on.
       ● Option B: Only one of the drama shows is still on.  
             ○ This is possible but not certain, as two drama shows could still be on.
       ● Option C: At least one discontinued show was a drama.  
             ○ This logically follows because with 5 sitcoms still on, at least one of the remaining 3 drama shows must have been discontinued.
       ● Option D: Viewers prefer sitcoms over drama.  
             ○ This is an assumption and not a logical conclusion based solely on the given information.
     ● Conclusion: The only conclusion that logically follows from the given information is that at least one discontinued show was a drama, making Option C the correct answer.  
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Q 22. Statement and Arguments

Read the passage given above and the two statements that follow (given on the basis of the passage):
 1. The Christian-businessman speaks Gujarati.
 2. The Gujarati-speaking doctor is a Muslim.
 Which of the above statements is/are correct conclusion/conclusions?

a) 1 only
b) 2 only
c) Both 1 and 2
d) Neither 1 nor 2
Answer: c
Practice This Question in Exam Mode

Option C: Both 1 and 2
         ○ To determine the correct conclusion(s), we need to analyze the passage provided. However, since the passage is not included in the question, we must rely on logical reasoning based on the statements given.
     ● Statement 1: "The Christian-businessman speaks Gujarati." This statement suggests that there is a businessman who is both Christian and speaks Gujarati. Without additional context from the passage, we cannot definitively conclude this statement is true or false. However, if the passage supports this claim, then it would be correct.  
     ● Statement 2: "The Gujarati-speaking doctor is a Muslim." This statement indicates that there is a doctor who speaks Gujarati and is also a Muslim. Again, without the passage, we cannot independently verify this statement. But if the passage provides evidence for this claim, then it would be correct.  
         ○ Since the question states that the correct answer is option C: Both 1 and 2, we can infer that the passage must contain information supporting both statements as correct conclusions. Therefore, both statements are considered correct based on the passage.
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Q 23. Statement and Arguments

Consider the following statement: "Though quite expensive, television is not a luxury item, as one can learn many things through television." Which one of the following is a valid inference from the above statement?

a) All expensive things are regarded as luxury.
b) All essential things for learning are not luxury.
c) Television is essential for learning.
d) Television is not a luxury item.
Answer: d
Practice This Question in Exam Mode

Option D: Television is not a luxury item.
     ● Statement Analysis: The given statement is "Though quite expensive, television is not a luxury item, as one can learn many things through television." This statement suggests that despite the high cost, television is not considered a luxury because it serves an educational purpose.  
     ● Option Analysis:  
       ● Option A: "All expensive things are regarded as luxury." This is not a valid inference because the statement explicitly mentions that television, despite being expensive, is not a luxury item. Therefore, not all expensive things are regarded as luxury.  
       ● Option B: "All essential things for learning are not luxury." The statement does not provide enough information to generalize about all essential learning tools. It only discusses television specifically.  
       ● Option C: "Television is essential for learning." The statement does not claim that television is essential for learning, only that it is a medium through which one can learn many things.  
       ● Option D: "Television is not a luxury item." This directly aligns with the statement provided, which explicitly states that television is not a luxury item.  
     ● Conclusion: Based on the analysis, the valid inference from the statement is that television is not a luxury item, making Option D the correct answer.  
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Q 39. Statement and Arguments

Examine the following statements:
 1. I watch TV only if I am bored.
 2. I am never bored when I have my brother's company.
 3. Whenever I go to the theatre I take my brother along.
 Which one of the following conclusions is valid in the context of the above statements?

a) If I am bored, I watch TV.
b) If I am bored, I seek my brother's company.
c) If I am not with my brother, then I watch TV.
d) If I am not bored, I do not watch TV.
Answer: d
Practice This Question in Exam Mode

Option D: If I am not bored, I do not watch TV.
Let's analyze each statement and the options:
     ● Statement 1: "I watch TV only if I am bored."  
       This implies that being bored is a necessary condition for watching TV. In logical terms, if I watch TV, then I am bored. The contrapositive of this statement is: If I am not bored, then I do not watch TV.
     ● Statement 2: "I am never bored when I have my brother's company."  
       This means that having my brother's company ensures that I am not bored.
     ● Statement 3: "Whenever I go to the theatre I take my brother along."  
       This implies that if I am at the theatre, my brother is with me, which means I am not bored (based on Statement 2).
     Now, let's evaluate the options:
     ● Option A: "If I am bored, I watch TV."  
       This is not necessarily true. Statement 1 only establishes that being bored is a necessary condition for watching TV, not a sufficient one. There could be other activities I engage in when bored.
     ● Option B: "If I am bored, I seek my brother's company."  
       This is not supported by any of the statements. While having my brother's company ensures I am not bored, it does not imply that I seek his company when bored.
     ● Option C: "If I am not with my brother, then I watch TV."  
       This is incorrect. The absence of my brother does not necessarily mean I will watch TV. There could be other activities I engage in when not with my brother.
     ● Option D: "If I am not bored, I do not watch TV."  
       This is the contrapositive of Statement 1 and is logically valid. If I am not bored, then the necessary condition for watching TV is not met, so I do not watch TV.
     Therefore, the valid conclusion is Option D: If I am not bored, I do not watch TV.
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Q 63. Statement and Arguments

Consider the following statements:
 1. All machines consume energy.
 2. Electricity provides energy.
 3. Electrically operated machines are cheap to maintain.
 4. Electrically operated machines do not cause pollution.
 Which one of the following inferences can be drawn from the above statements?

a) All machines are run by electric energy.
b) There is no form of energy other than electricity.
c) Most machines are operated on electric energy.
d) Electrically operated machines are preferable to use.
Answer: d
Practice This Question in Exam Mode

Option D: Electrically operated machines are preferable to use.
     ● Statement 1: All machines consume energy.  
       This statement establishes that machines require energy to function, but it does not specify the type of energy.
     ● Statement 2: Electricity provides energy.  
       This statement indicates that electricity is a source of energy, but it does not imply that it is the only source.
     ● Statement 3: Electrically operated machines are cheap to maintain.  
       This suggests a cost advantage of using electrically operated machines.
     ● Statement 4: Electrically operated machines do not cause pollution.  
       This implies an environmental benefit of using electrically operated machines.
     Analysis of Options:
     ● Option A: All machines are run by electric energy.  
       This cannot be inferred because the statements do not claim that all machines use electric energy; they only highlight the benefits of electrically operated machines.
     ● Option B: There is no form of energy other than electricity.  
       This is incorrect as the statements do not exclude other forms of energy; they only mention electricity as a source.
     ● Option C: Most machines are operated on electric energy.  
       This cannot be concluded from the given statements as they do not provide information about the proportion of machines using electric energy.
     ● Option D: Electrically operated machines are preferable to use.  
       This is the most logical inference based on the given statements. The advantages mentioned in statements 3 and 4 (cost-effectiveness and lack of pollution) suggest that electrically operated machines are preferable.
     Therefore, the correct inference is that electrically operated machines are preferable to use, making Option D the correct answer.
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Q 48. Statement and Arguments

Consider the following argument. "In order to be a teacher one must graduate from college. All poets are poor Some Mathematicians are poets. No college graduate is poor." Which one of the following is not a valid conclusion regarding the above argument?

a) Some Mathematicians are not teachers.
b) Some teachers are not Mathematicians.
c) Teachers are not poor.
d) Poets are not teachers.
Answer: b
Practice This Question in Exam Mode

Instead of using Venn diagrams and spending time, simply use logic to solve this. Since teachers can only be college graduates and since no college graduates are poor, so C is correct. Moreover, since poets are poor, no poet can be a teacher. Also, since some mathematicians are also poets (and poor) they can’t be teachers. So, A is also correct. B can not be said with absolute certainty. Hence B is incorrect and the answer.
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