Can a measure be reliable but not valid, or vice versa (valid but not reliable)?

Within 250 words elaborate also use reference(s). 

Imagine that your local grocery store has a scale at the exit door that people can weigh themselves on as they exit the stor. Every Tuesday at 5 pm in your time zone you pass by the scale and weigh yourself. Each week the scale tells you the same thing: it registers your weight as 5 pounds heavier than you know your true weight to be. Other patrons step on the scale and report the same result (that the scales shows them as 5 pounds heavier than their true weight).

Is the scale reliable?
Is the scale valid?
Why or why not?

Can a measure be reliable but not valid, or vice versa (valid but not reliable)?

Support your assertions with evidence from your text (e.g., the definitions of reliability and validity).

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