2.Statements: All the harmoniums are instruments. All the instruments are flutes. Conclusions: 1.All the flutes are instruments. 2.All the harmoniums are flutes.Choices:- Only (1) conclusion follows Only (2) conclusion follows Either (1) or (2) follows Neither (1) nor (2) follows
Question
2.Statements: All the harmoniums are instruments. All the instruments are flutes. Conclusions: 1.All the flutes are instruments. 2.All the harmoniums are flutes.Choices:- Only (1) conclusion follows Only (2) conclusion follows Either (1) or (2) follows Neither (1) nor (2) follows
Solution
The correct answer is "Only (2) conclusion follows".
Here's the step-by-step reasoning:
Statement 1: All the harmoniums are instruments. This means that if something is a harmonium, it is also an instrument.
Statement 2: All the instruments are flutes. This means that if something is an instrument, it is also a flute.
From these two statements, we can infer that if something is a harmonium, it is also a flute. Therefore, conclusion 2 (All the harmoniums are flutes) follows.
However, we cannot infer that all flutes are instruments. While all instruments are flutes, there could be flutes that are not instruments. Therefore, conclusion 1 (All the flutes are instruments) does not follow.
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