3.5 Quiz Necessary and Sufficient Conditions


1. According to the sentence, "All ravens are black",

a) Being a raven is a necessary condition for being black.
b) Being a raven is a neither a necessary nor sufficient condition for being black.
c) Being a raven is a sufficient condition for being black.
d) Being a raven is a necessary and sufficient condition for being black.
2. According to the sentence, "Darlene will be at the meeting unless she gets stuck in traffic"

a) Getting stuck in traffic is sufficient for Darlene to be a the meeting.
b) Getting stuck in traffic is neither necessary nor sufficient for Darlene to be a the meeting.
c) Getting stuck in traffic is necessary for Darlene to be a the meeting.
d) Getting stuck in traffic is necessary and sufficient for Darlene to be a the meeting.
3. According to the sentence, "Darlene will be at the meeting unless she gets stuck in traffic"

a) Getting stuck in traffic is neither necessary nor sufficient for Darlene not being at the meeting.
b) Getting stuck in traffic is necessary and sufficient for Darlene not being at the meeting.
c) Getting stuck in traffic is necessary for Darlene not being at the meeting.
d) Getting stuck in traffic is sufficient for Darlene not being at the meeting.
4. According to the sentence, "Candy-O will come top in her class only if all the other students die",

a) All the other students dying is sufficient for Candy-O to come top in her class.
b) All the other students dying is necessary for Candy-O to come top in her class.
c) All the other students dying is necessary and sufficient for Candy-O to come top in her class.
d) All the other students dying is neither necessary nor sufficient for Candy-O to come top in her class.
5. According to the sentence, "Candy-O will come top in her class only if all the other students die",

a) All the other students not dying is sufficient for Candy-O not coming top in her class.
b) All the other students not dying is neither necessary nor sufficient for Candy-O not coming top in her class.
c) All the other students not dying is necessary and sufficient for Candy-O not coming top in her class.
d) All the other students not dying is necessary for Candy-O not coming top in her class.
6. "Adam will get honors if he gets a B." According to this sentence

a) Adam not receiving honors is necessary and sufficient for him not receiving a B.
b) Adam not receiving honors is sufficient for him not receiving a B.
c) Adam not receiving honors is necessary for him not receiving a B.
d) Adam not receiving honors is neither necessary nor sufficient for him not receiving a B.
7. "Adam will get honors if he gets a B." According to this sentence

a) Adam receiving honors is necessary for him getting a B.
b) Adam receiving honors is necessary and sufficient for him getting a B.
c) Adam receiving honors is neither necessary nor sufficient for him getting a B.
d) Adam receiving honors is sufficient for him getting a B.
8. Being a color is a _____condition for being blue.

a) necessary and sufficient
b) sufficient
c) neither necessary nor sufficient
d) necessary
9. Being colorless is a _______for being not blue.

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

a) If Betty does not receive honors, then she did not get a B.
b) If Betty does not get a B, then she will not receive honors.
c) If Betty receives honors, then she did not get a B.
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