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 statements and decide which of the given assumptions is/are implicit in the statement.
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I. Cricket is world's most famous game.
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Davy: "Every pancake made by my mother is lip smacking."
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What did Jones, apparently, assume regarding Davy's statement?
Important Questions from Statements and Assumptions
Direction: A statement is given followed by two conclusions numbered I and II. Assuming that the given statement is true even if it seems to be at variance from commonly known facts, decide which of the given conclusions logically follow(s) from the given statement.
Statement:
In a football match between Team-X and Team-Y, the total number of goals scored by Team-Y was 5, out of which 3 goals were scored by the left footed player.
Assumption:
I. The left-footed player was adept at scoring goals.
II. 60% of the players in Team Y are left footed.
Consider the given statement and decide which of the given assumptions is implicit in the statement.
statement:
P advised Q, "Go to Mumbai via Jaipur ____ the shortest route"
Assumptions: I. P advises everybody.
II. Q wishes to go to Mumbai.
Read the given statement and assumptions carefully. Assuming that the information given in the statement is true, even if it appears to be at variance with commonly known facts, decide which of the given assumptions logically follow(s) from the statement.
Statement:
During exams, invigilators are not supposed to use mobile phones in the examination hall.
Assumptions:
I. Mobile disturbs students during examination.
II. Keeping mobiles switched off helps to improve their vigilance.
Consider the given statements and decide which of the given assumptions is/are implicit in the statement.
Statement:
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Assumptions:
I: The current staff is incompetent.
II: Business can only be expanded by always hiring new staff.
Read the given statement and conclusions carefully and decide which of the assumptions is implicit in the statement.
Statement:
"SAVE MONEY - BUY 1 GET 3" — Advertisement by a commercial brand.
Assumptions:
1. Brand sales increased profusely after the offer.
2. People are more attracted to buy if they are offered more than what they are already paying.
