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Consider the following three statements:
1. Some roses are red
2. All red flowers fade quickly.
3. Some roses fade quickly.
Q. Which of the following statements can be logically inferred from the above statements?
1. Some roses are red
2. All red flowers fade quickly.
3. Some roses fade quickly.
Q. Which of the following statements can be logically inferred from the above statements?
- a)If (i) is true and (ii) is false, then (iii) is false.
- b)If (i) is true and (ii) is false, then (iii) is true.
- c)If (i) and (ii) are true, then (iii) is true.
- d)If (i) and (ii) are false, then (iii) is false.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Consider the following three statements:1. Some roses are red2. All re...
Solving by options
Option A: Even if statement 2nd is false, i.e. All red flowers do not fade quickly, that does not mean that some roses won’t fade quickly.
Option B: There can be a possibility that no rose fade quickly
Option C: This is true in all possibilities.
Option D: There can be a possibility that some roses do fade quickly.
Hence option C is the only correct option.
Option A: Even if statement 2nd is false, i.e. All red flowers do not fade quickly, that does not mean that some roses won’t fade quickly.
Option B: There can be a possibility that no rose fade quickly
Option C: This is true in all possibilities.
Option D: There can be a possibility that some roses do fade quickly.
Hence option C is the only correct option.
Most Upvoted Answer
Consider the following three statements:1. Some roses are red2. All re...
Logical Inference from the Given Statements:
Given statements:
1. Some roses are red
2. All red flowers fade quickly
3. Some roses fade quickly
Explanation:
To determine the logical inference from the given statements, let's analyze each statement individually and then draw conclusions based on their relationship.
Statement 1: Some roses are red
This statement suggests that there exists at least one rose that is red. It does not provide any information about other colors of roses. Hence, we can represent this as "R → Red" (R implies Red), where R represents roses.
Statement 2: All red flowers fade quickly
This statement implies that every flower that is red fades quickly. It does not provide any information about non-red flowers. Let's represent this as "Red → Fade" (Red implies Fade).
Statement 3: Some roses fade quickly
Based on the given statements, we can infer the following:
1. Since some roses are red (Statement 1) and all red flowers fade quickly (Statement 2), it can be logically inferred that some roses fade quickly. This can be represented as "R → Red → Fade" (R implies Red implies Fade).
Therefore, the correct answer is option 'C': If (i) and (ii) are true, then (iii) is true.
Given statements:
1. Some roses are red
2. All red flowers fade quickly
3. Some roses fade quickly
Explanation:
To determine the logical inference from the given statements, let's analyze each statement individually and then draw conclusions based on their relationship.
Statement 1: Some roses are red
This statement suggests that there exists at least one rose that is red. It does not provide any information about other colors of roses. Hence, we can represent this as "R → Red" (R implies Red), where R represents roses.
Statement 2: All red flowers fade quickly
This statement implies that every flower that is red fades quickly. It does not provide any information about non-red flowers. Let's represent this as "Red → Fade" (Red implies Fade).
Statement 3: Some roses fade quickly
Based on the given statements, we can infer the following:
1. Since some roses are red (Statement 1) and all red flowers fade quickly (Statement 2), it can be logically inferred that some roses fade quickly. This can be represented as "R → Red → Fade" (R implies Red implies Fade).
Therefore, the correct answer is option 'C': If (i) and (ii) are true, then (iii) is true.
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Consider the following three statements:1. Some roses are red2. All red flowers fade quickly.3. Some roses fade quickly.Q. Which of the following statements can be logically inferred from the above statements?a)If (i) is true and (ii) is false, then (iii) is false.b)If (i) is true and (ii) is false, then (iii) is true.c)If (i) and (ii) are true, then (iii) is true.d)If (i) and (ii) are false, then (iii) is false.Correct answer is option 'C'. Can you explain this answer?
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Consider the following three statements:1. Some roses are red2. All red flowers fade quickly.3. Some roses fade quickly.Q. Which of the following statements can be logically inferred from the above statements?a)If (i) is true and (ii) is false, then (iii) is false.b)If (i) is true and (ii) is false, then (iii) is true.c)If (i) and (ii) are true, then (iii) is true.d)If (i) and (ii) are false, then (iii) is false.Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Consider the following three statements:1. Some roses are red2. All red flowers fade quickly.3. Some roses fade quickly.Q. Which of the following statements can be logically inferred from the above statements?a)If (i) is true and (ii) is false, then (iii) is false.b)If (i) is true and (ii) is false, then (iii) is true.c)If (i) and (ii) are true, then (iii) is true.d)If (i) and (ii) are false, then (iii) is false.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following three statements:1. Some roses are red2. All red flowers fade quickly.3. Some roses fade quickly.Q. Which of the following statements can be logically inferred from the above statements?a)If (i) is true and (ii) is false, then (iii) is false.b)If (i) is true and (ii) is false, then (iii) is true.c)If (i) and (ii) are true, then (iii) is true.d)If (i) and (ii) are false, then (iii) is false.Correct answer is option 'C'. Can you explain this answer?.
Solutions for Consider the following three statements:1. Some roses are red2. All red flowers fade quickly.3. Some roses fade quickly.Q. Which of the following statements can be logically inferred from the above statements?a)If (i) is true and (ii) is false, then (iii) is false.b)If (i) is true and (ii) is false, then (iii) is true.c)If (i) and (ii) are true, then (iii) is true.d)If (i) and (ii) are false, then (iii) is false.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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