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Two statements are given, followed by four conclusions. 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: 1. Some men are Bengalis. 2. All women are Bengalis. Conclusions: I. No Bengali is a man. II. Some women are men. III. All women are men. IV. No woman is a man.?

LohaHridoy
  1. Both conclusions I and II follow.
  2. Either conclusion II or IV follows.
  3. Only conclusion I follows.
  4. Both conclusions I and IV follow

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1 Answers

AhmedNazir

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Option 2 : Either conclusion II or IV follows.

Statements:

1. Some men are Bengalis.

2. All women are Bengalis.

The least possible diagram for the given statements is as follows

[ alt="F2 Puja T 22-2-22 Savita D10" src="//storage.googleapis.com/tb-img/production/22/02/F2_Puja%20T_22-2-22_Savita_D10.png" style="width: 210px; height: 108px;">

Conclusions:

I. No Bengali is a man → False (Given some men are Bengalis to definitely some men are also Bengali so, this statement is not true)

II. Some women are men → False (It is possible but not definite)

The possible diagram is:

[ alt="F2 Puja T 22-2-22 Savita D11" src="//storage.googleapis.com/tb-img/production/22/02/F2_Puja%20T_22-2-22_Savita_D11.png" style=" width: 210px; height: 108px;">

III. All women are men → False (It is possible but not definite)

The possible diagram is:

[ alt="F2 Puja T 22-2-22 Savita D12" src="//storage.googleapis.com/tb-img/production/22/02/F2_Puja%20T_22-2-22_Savita_D12.png" style=" width: 202px; height: 140px;">

IV. No woman is a man → False (It is possible but not definite)

The possible diagram is:

[ alt="F2 Puja T 22-2-22 Savita D10" src="//storage.googleapis.com/tb-img/production/22/02/F2_Puja%20T_22-2-22_Savita_D10.png" style=" width: 210px; height: 108px;">

Conclusion II, III and IV are complementary pair

Hence, “Either conclusion II or IV follows”.

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