Question

A fruit stand carries at least one kind of the following kinds of fruit: figs, kiwis, oranges, pears, tangerines, and watermelons. The selection of fruits the stand carries is consistent with the following conditions:

Conditions:

Figs are carried if and only if kiwis are carried.
If oranges are carried, then pears are not carried.
If tangerines are carried, then watermelons are also carried.
What fruits must the stand carry together?
a) Figs and kiwis
b) Oranges and pears
c) Tangerines and watermelons
d) Pears and tangerines

Answer 1

The fruit stand must carry tangerines and watermelons together according to the given conditions, making option (c) the correct answer.

Step-by-step explanation:

The fruit stand must carry certain fruits together based on the given conditions:

• Figs are carried if and only if kiwis are carried.
• If oranges are carried, then pears are not carried.
• If tangerines are carried, then watermelons are also carried.

Therefore, regarding which fruits must the stand carry together, the answer is (c) tangerines and watermelons. According to the third condition, tangerines, if present, always come with watermelons. The other pairs cannot be determined as mandatory based on the conditions alone.