3.4 Quiz Necessary and Sufficient Conditions


1. "Adam will get honors if he gets a B." According to this sentence

a) Getting a B is necessary for Adam to receive honors.
b) Getting a B is sufficient for Adam to receive honors.
c) Getting a B is necessary and sufficient for Adam to recieve honors.
d) Getting a B is neither necessary nor sufficient for Adam to receive honors.
2. "Adam will get honors if he gets a B." According to this sentence

a) Adam not receiving honors is necessary for him receiving a B.
b) Adam not receiving honors is sufficient for him receiving a B.
c) Adam not receiving honors is necessary and sufficient for him receiving a B.
d) Adam not receiving honors is neither necessary nor sufficient for him receiving a B.
3. The contrapositive of "If Betty gets a B, then she will receive honors" is

a) If Betty does not get a B, then she will not receive honors.
b) If Betty receives honors, then she got a B.
c) If Betty does not receive honors, then she did not get a B.
4. Being blue is a _____condition for being a color.

a) necessary
b) sufficient
c) necessary and sufficient
d) neither necessary nor sufficient
5. Being colorless is a _______for being blue.

a) necessary
b) sufficient
c) necessary and sufficient
d) neither necessary nor sufficient
6. According to the sentence, "All ravens are black",

a) being black is a necessary condition for being a raven.
b) bieng black is a sufficient condition for being a raven.
c) being black is a necessay and sufficient condition for being a raven.
d) is neither necessary nor sufficient for being a raven.
7. According to the sentence, "All ravens are black",

a) not being a raven is a necessary condition for not being black.
b) not being a raven is a sufficient condition for not being black.
c) not being a raven is a necessary and sufficient condition for not being black.
d) not being a raven is neither a necessary nor sufficient condition for not being black.
8. According to the sentence, "Candy-O will come top in her class only if all the other students die",

a) Candy-O coming top in her class is necessary for all the other students dying.
b) Candy-O coming top in her class is sufficient for all the other students dying.
c) Candy-O coming top in her class is necessary and sufficient for all the other students dying.
d) Candy-O coming top in her class is neither necessary nor sufficient for all the other students dying.
9. According to the sentence, "Darlene will be at the meeting unless she gets stuck in traffic"

a) Not getting stuck in traffic is necessary for Darlene to be a the meeting.
b) Not getting stuck in traffic is sufficient for Darlene to be a the meeting.
c) Not getting stuck in traffic is necessary and sufficient for Darlene to be a the meeting.
d) Not getting stuck in traffic is neither necessary nor sufficient for Darlene to be a the meeting.
10. According to the sentence, "Darlene will be at the meeting unless she gets stuck in traffic"

a) Darlene not being at the meeting is necessary for her getting stuck in traffic.
b) Darlene not being at the meeting is sufficient for her getting stuck in traffic.
c) Darlene not being at the meeting is necessary and sufficient for her getting stuck in traffic.
d) Darlene not being at the meeting is neither necessary nor sufficient for her getting stuck in traffic.
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