All birds are wings.
Some wings are feathers.
Some feathers are birds.
Analyzing the Statements
We are given three statements:
- Statement 1: All birds are wings. (Logically: B ⊆ W)
- Statement 2: Some wings are feathers. (Logically: W ∩ F ≠ ∅)
- Statement 3: Some feathers are birds. (Logically: F ∩ B ≠ ∅)
The task is to find which of the options is NOT implicitly stated or logically derivable from these three statements.
Evaluating the Options
Let's examine each option based on the premises:
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Option 1: Some birds are feathers.
This statement (B ∩ F ≠ ∅) is directly given by Statement 3 (Some feathers are birds). Therefore, this assumption is implicit.
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Option 2: All wings are birds.
This statement (W ⊆ B) means that the set of wings is a subset of the set of birds. Statement 1 says the opposite (B ⊆ W), meaning birds are a subset of wings. These two cannot both be true unless birds and wings are the exact same set. However, W ⊆ B is not logically derived from B ⊆ W and W ∩ F ≠ ∅. Therefore, this assumption is NOT implicit.
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Option 3: Some birds are wings and feathers.
This means there exists something that is a bird, a wing, and a feather (B ∩ W ∩ F ≠ ∅). Since Statement 1 establishes that all birds are wings (B ⊆ W), this simplifies to finding if there exists something that is a bird and a feather (B ∩ F ≠ ∅). As established in Option 1, this is directly implied by Statement 3. Therefore, this assumption is implicit.
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Option 4: Some feathers are wings.
This statement (F ∩ W ≠ ∅) is logically equivalent to Statement 2 (Some wings are feathers). Therefore, this assumption is implicit.
Conclusion on Implicit Assumption
Based on the analysis, the statement "All wings are birds" is the only option that is not implicitly derivable from the given three statements. The other options are either explicitly stated or direct logical consequences.
Similar Questions
Consider the given statement and decide which of the given assumptions is/are implicit in the statement.
Statement:
An advertisement states that XYZ paints should be used to decorate houses.
Assumptions:
1. People want to decorate their house.
2. Only XYZ paints can make houses decorative.
Consider the given statement and decide which of the given assumptions is/are implicit in the statement.
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“Drop the mail in the mailbox”, said John to his assistant.
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I. I aspire to be a professional.
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If you want good education for kids admit them to private schools.
Assumptions:
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Important Questions from Statements and Assumptions
You have to decide which of these assumptions is/are implicit in the statement, considering the statement and the assumptions that follow it.
Statement:
I like the soldiers.
I want to become a soldier.
Assumptions:
I) I am not a soldier.
II) I am a soldier.
Read the following passages and answer the question follows. Your answers to these items should be based on the passages only.
Many people in India feel that if we cut our defence expenditure on weapon-building, we can create a climate of peace with our neighbours, subsequently reducing the conflict or creating a no-war situation. People who proclaim such ideas are either the victims of war or the propagators of false argument.
With reference to the above passage, which of the following is the most valid assumption?
Consider the given statement and decide which of the given assumptions is (are) implicit.
Statement :
“Successful people are happy in life."
Assumptions :
1. Those that are unhappy are not successful
2. Most of the times success in one’s endeavours gives happiness.
In this question, a statement is followed by two assumptions:
Statements: Though he is fat yet he runs fast.
Assumptions:
I. Fat people have weak muscles.
II. Fat people generally cannot run fast.
Then which of the answer is correct?
Consider the given statement and decide which of the given assumptions is implicit in the statement.
Statement:
Television is correctly called the Idiot box.
Assumptions:
1. People who watch television are idiots.
2. People who do not watch television are intelligent.
