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 Math Help > Math Puzzles > 2004 Logic Quiz > Motor Club

# Academic Decathlon 2004 Logic Quiz

## Motor club survey  (700 points)

On a survey in a motor club, the members were asked whether they had a Mercedes, a Ford or a Jaguar.  The following was gleaned from the survey:  35 people said that they had a Mercedes and a jaguar; 47 said they had a Ford and a jaguar; 30 said they had a Ford and a Mercedes; 21 said they had all three cars.  The analyst concluded also that they had registered 113 Jaguars, 120 Mercedes and 77 Fords (no one owns more than one of any type).

Plot the numbers on the circles provided to answer the following questions:

A) How many people owned a Ford but nothing else?

B) How many people owned a Jaguar and a Ford but not a Mercedes?

C) How many people owned a Mercedes or a Ford?

D) How many owned a Ford or a Jaguar?

E) How many did not own a Ford?

F) How many owned a jaguar and a Mercedes but not a Ford?

G) How many owned a Mercedes or a Jaguar but not a Ford?