Question

In Crescentville, there are exactly five record stores, whose names are abbreviated S, T, V, X, and Z. Each of the five stores carries at least one of four distinct types of music: folk, jazz, opera, and rock. None of the stores carries any other type of music. The following conditions must hold:

Conditions:

Store S carries jazz if and only if store Z carries rock.
Store V carries folk if and only if store X carries opera.
Store T carries jazz if store X carries rock.
Which store carries folk?
a) S
b) T
c) V
d) Z

Answer 1

Based on the conditions provided, store V in Crescentville carries folk music, as it is the only store that matches the criteria given.

Step-by-step explanation:

The student's question pertains to which store in Crescentville carries folk music, given a set of specific conditions. According to the conditions provided: Store S carries jazz if and only if store Z carries rock. Store V carries folk if and only if store X carries opera. Store T carries jazz if store X carries rock. These conditions create a logical scenario where we can deduce which store carries folk.

Since the condition states that store V carries folk if and only if store X carries opera, we can conclude that the answer to the question is store V. There are no conditions that contradict this possibility, and it directly adheres to the given condition.