Statements: Some mangoes are yellow. Some tixo are mangoes. Conclusions: Some…
2026
Statements: Some mangoes are yellow. Some tixo are mangoes. Conclusions: Some mangoes are green. Tixo is a yellow.
Answer: D. Neither (1) nor (2) follows — Answer: Neither conclusion follows. Given statements: Some mangoes are yellow. Some tixo are mangoes. Conclusions to test: Some mangoes are green. Tixo is a…
- A.
Only (1) conclusion follows
- B.
Only (2) conclusion follows
- C.
Either (1) or (2) follows
- D.
Neither (1) nor (2) follows
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Correct answer: D
Answer: Neither conclusion follows.
Given statements:
Some mangoes are yellow.
Some tixo are mangoes.
Conclusions to test:
Some mangoes are green.
Tixo is a yellow.
Analysis:
The conclusion 'Some mangoes are green' does not follow because the premises make no statement about green mangoes. Counterexample: all mangoes could be yellow and none green, which satisfies the premises but makes the conclusion false.
The conclusion 'Tixo is a yellow' does not follow because even though some mangoes are yellow and some tixo are mangoes, those two 'some' subsets may be different. Counterexample: the yellow mangoes could be one subset of mangoes while the tixo that are mangoes belong to a different, non-yellow subset. This satisfies the premises but shows the conclusion is not guaranteed.
Therefore, neither conclusion is necessarily true given the statements.