Three statements are given followed by four conclusions numbered I, II, III and IV. Assuming that the statements are true even if they seem to be at variance from commonly known facts, decide which of the conclusions logically follows from the statements. Statements: 1. All carpets are beds. 2. Some tables are carpets. 3. All pillows are tables. Conclusions: I. All pillows are beds. II. Some pillows are beds. III. Some beds are tables. IV. All tables are beds.?

LohaHridoy
  1. Only conclusion III follows.
  2. Conclusions I and II both follow.
  3. Conclusions II and III both follow.
  4. Only conclusion I follows.

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AhmedNazir

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Option 1 : Only conclusion III follows.

The least possible Venn diagram for the given statements is as follows :

[ alt="F3 Puja T 10-3-22 Savita D10" src="//storage.googleapis.com/tb-img/production/22/03/F3_Puja%20T_10-3-22_Savita_D10.png" style="width: 243px; height: 103px;">

Conclusions​:

I. All pillows are beds → False (No direct relation given hence, false)

II. Some pillows are beds → False (No direct relation given hence, false)

III. Some beds are tables → True (All carpets are beds and Some tables are carpets so, Some beds are tables is true)

IV. All tables are beds → False (No direct relation given hence, false)

Thus, the correct answer is "Only conclusion III follows".

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