Consider the given statements and decide which of the given assumptions is/are implicit the statements. Statements: Some Benches are Nails. All Benches and Nails are Metal. Some Woods are Nails. Assumptions: A. Some Woods are only Metal. B. Some Woods are only Benches. C. Some Benches are Woods. D. Some Metal are Woods.?

LohaHridoy
  1. C
  2. A
  3. D
  4. B

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AhmedNazir

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Option 3 : D

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

[ alt="F3 Savita Railways 6-5-22 D25" src="//storage.googleapis.com/tb-img/production/22/05/F3_Savita_Railways_6-5-22_D25.png" style="width: 248px; height: 117px;">

Assumptions:

A. Some Woods are only Metal → False (it is possible but not definite)

B. Some Woods are only Benches → False (it is possible but not definite)

C. Some Benches are Woods → False (it is possible but not definite)

D. Some Metal are Woods → True (As All Benches and Nails are Metal and Some Woods are Nails so, Some Metal are Woods is implicit)

∴ Here, from the given statements, "Some Metal are Woods" is implicit.

Hence, the correct answer is "Some Metal are Woods".

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