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Select the option that CANNOT be concluded from the statements given below.Statement 1: All spices are cupboards. Statement 2: All cupboards are fans.
Question

Select the option that CANNOT be concluded from the statements given below.
Statement 1: All spices are cupboards.
Statement 2: All cupboards are fans.
Statement 3: All doors are cupboards.

A.

All fans are spices.

B.

Some fans are doors.

C.

All spices are fans.

D.

Some cupboards are doors.

Correct option is A

Given:
Statement 1: All spices are cupboards.
Statement 2: All cupboards are fans.
Statement 3: All doors are cupboards.
Solution:
Based on the above statements the ven diagram is:
(A) All fans are spices: ( Not Concluded)
(Logic: The statements imply that spices are a subset of cupboards, and cupboards are a subset of fans, so there is no information indicating that all fans must be spices.)
(B) Some fans are doors.(Concluded)
(Logic: In the Venn diagram all curboards are the subset of fans and all doors are the subset of cuboards then all doors are also the subset of fan so the some fans are doors is concluded.)
(C) All spices are fan.(Concluded)
(Logic: In the Venn diagram the cupboards are the subset of fan and spices are subset of cupboard the the all spices are subset of fan so All spices are fan is concluded.)
(D) Some cupboards are door.(Concluded)
(Logic: In the Venn diagram door are the subset of cupboards, so the some cupboards are door is concluded)
Thus the correct option is (A)

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