Three statements are given, followed by four conclusions numbered I, II, III, IV. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: Some drums are violins Some violins are pianos All the pianos are flutes. Conclusions: I. Some flutes are violins. II. Some pianos are drums. III. No piano is drum. IV. Some violins are drums.?

LohaHridoy
  1. Both conclusions I and IV and either II or III follows
  2. Both conclusions II and III follow
  3. Both conclusions II and IV follow
  4. Both conclusions I and II follow

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AhmedNazir

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Option 1 : Both conclusions I and IV and either II or III follows

Statements:

Some drums are violins

Some violins are pianos

All the pianos are flutes.

The least possible diagram for the given statements is as follows

[ alt="F1 Madhuri SSC 14.05.2022 D37" src="//storage.googleapis.com/tb-img/production/22/05/F1_Madhuri_SSC_14.05.2022_D37.png" style="width: 258px; height: 94px;">

Conclusions:

I. Some flutes are violins → True (because some violins are pianos and all pianos are flutes so some flutes are also violins)

II. Some pianos are drums → False (there is no relationship given between drums and pianos so it may be possible but not defined)

III. No piano is drum → False (there is no relationship given between drums and pianos so it may be possible but not defined)

IV. Some violins are drums → True (because some violins are pianos so some pianos are also violins)

Here Conclusion II and III are complementary pairs.

Hence, “Both conclusions I and IV and either II or III follows".

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