Necessary and sufficient conditions

Statement A: Overeating

Statement B: Put on weight

In the above example, the relation of A to B is

• Necessary condition but not sufficient condition

• Sufficient condition but not necessary condition

• Neither necessary nor sufficient

• Both necessary and sufficient

Statement A: deciding to raise your arm

Statement B: raising your arm

In the above example, the relation of A to B is ...

• Necessary but not sufficient condition

• Sufficient but necessary condition

• Neither necessary not sufficient

• Both necessary and sufficient

Statement A: Writing an essay

Statement B: Reading that essay

Q: In the above example, the relation of A to B is...

• Necessary but not sufficient condition

• Sufficient but not necessary condition

• Neither necessary nor sufficient condition

• Both necessary and sufficient condition

Statement A: Running

Statement B: Feeling fatigue

In the above example, the relation of A to B is ...

• Necessary but not sufficient condition

• sufficient but not necessary condition

• Neither necessary nor sufficient condition

• Both necessary and sufficient condition

Statement A: Plug pulled out of socket

Statement B: Radio not working

In the above example, the relation of statement A to B is ...

• Necessary but not sufficient condition

• Sufficient but not necessary condition

• Neither necessary not sufficient condition

• Both necessary and sufficient condition

Statement A: Plug inserted in socket

Statement B: Radio working

In the above example, the relation of A to B is ....

• Necessary but not sufficient condition

• Sufficient but not necessary condition

• Neither necessary not sufficient condition

• Both necessary and sufficient condition

Statement A: Rock hitting window

Statement B: Window breaking

In the above example, the relation of A to B is ....

• Necessary but not sufficient condition

• Sufficient but not necessary condition

• Neither necessary not sufficient condition

• Both necessary and sufficient condition