Question

An administrator must assign parking spaces to six new employees: Robertson, Souza, Togowa, Vaughn, Xu, and Young. Each of the six employees must be assigned one of the following parking spaces: #1, #2, #3, #4, #5, #6. The following rules govern the assignment of parking spaces:

Conditions:

Togowa must be assigned an odd-numbered parking space.
Robertson must be assigned either parking space #2 or #4.
Young cannot be assigned an even-numbered parking space.
Which parking space is assigned to Young?
a) #1
b) #3
c) #5
d) #6

Answer 1

Young cannot be assigned an even-numbered parking space. Since parking spaces #1, #3, and #5 are the only odd-numbered spaces, and Togowa must take one of them, Young must be assigned either space #1, #3, or #5.

Step-by-step explanation:

The administrator needs to assign parking spaces following specific rules. To determine which parking space is assigned to Young, we must apply the rules outlined in the question:

• Togowa must be assigned an odd-numbered space.
• Robertson must be assigned either space #2 or #4.
• Young cannot be assigned an even-numbered space.

Given these conditions, we know that Togowa takes one odd-numbered space, and Robertson takes one of the two even-numbered spaces specified. Since there are only three odd-numbered spaces (#1, #3, #5), and Togowa will occupy one, that leaves two odd-numbered spaces for Young. However, one of these spaces could also be taken by another employee since only Young's restriction is known to us. Therefore, we can't assign space #6 to Young, as it is even-numbered and violates the condition set for Young's assignment.

Since Young can only be assigned to an odd space, the options are #1, #3, or #5.