Directions Questions : In the following questions, select one alternative in which the third statement is implied by the first two statements.

All oranges are black. All figs are oranges. So all figs are black. Explanation: Analysis of Options: (a) All dogs are mad. All sick persons are mad. So all sick persons are dogs. Let be the set of mad things. and . Being in the same larger set ( ) does not mean one subset belongs to the other. The conclusion is Invalid . (b) All oranges are black. All figs are oranges. So all figs are black. Let be the set of black things, be oranges, and be figs. Premise 1: Premise 2: Using the transitive property: This means "All figs are black" is a Logically Valid conclusion. (c) All windows are dogs. Some doors are dogs. So all windows are doors. . There is an intersection between and . This does not prove that all windows are doors. The conclusion is Invalid . (d) No man can fly. No kite can fly. So all men are kites. Let be the set of things that can fly. and . Having a common

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