Question 91
For a–e say whether the conclusion necessarily follows from the premises. Interpret “false” as not entailed, not necessarily a proved negation. Treat nouns as abstract set labels, ignoring real-world plausibility.
a. Some yellowfish are blue. Some redfish are gold. Some goldfish are red. Some blackfish are red. Some bluefish are yellow. Therefore some blackfish are gold.
b. Some peanuts are widgets. Some widgets are bad. Some peanuts are books. All books are good. Some bananas are widgets. Some widgets are good. Bananas are neither good nor bad. Therefore some peanuts are good.
c. Some puzzles are slips. Some politicians are slips. All puzzles are liars. Some puzzles are flowers. All politicians are flowers. Therefore some politicians are liars.
d. Some jokes are blanks. Some blanks are curtains. Some pennies are curtains. Therefore some blanks are pennies.
e. Some buttons are hats. All dollars are red. Some buttons are black. All hats are red. No dollars are buttons. Therefore some buttons are red.
a. Some yellowfish are blue. Some redfish are gold. Some goldfish are red. Some blackfish are red. Some bluefish are yellow. Therefore some blackfish are gold.
b. Some peanuts are widgets. Some widgets are bad. Some peanuts are books. All books are good. Some bananas are widgets. Some widgets are good. Bananas are neither good nor bad. Therefore some peanuts are good.
c. Some puzzles are slips. Some politicians are slips. All puzzles are liars. Some puzzles are flowers. All politicians are flowers. Therefore some politicians are liars.
d. Some jokes are blanks. Some blanks are curtains. Some pennies are curtains. Therefore some blanks are pennies.
e. Some buttons are hats. All dollars are red. Some buttons are black. All hats are red. No dollars are buttons. Therefore some buttons are red.