In a marketing survey for products A, B, and C, 1,000 people were asked which of the products, if any...

[BTGmoderatorLU]

Source: GMAT Paper Tests

In a marketing survey for products A, B, and C, 1,000 people were asked which of the products, if any, they use. The three circular regions in the diagram above represent the numbers of people who use products A, B, and C, according to the survey results. Of the people surveyed, a total of 400 use A, a total of 400 use B, and a total of 450 use C. How many of the people surveyed use exactly one of the products?

A. 75
B. 100
C. 150
D. 250
E. 325

The OA is E

[Jay@ManhattanReview]

Source: GMAT Paper Tests

Untitled (1).png

In a marketing survey for products A, B, and C, 1,000 people were asked which of the products, if any, they use. The three circular regions in the diagram above represent the numbers of people who use products A, B, and C, according to the survey results. Of the people surveyed, a total of 400 use A, a total of 400 use B, and a total of 450 use C. How many of the people surveyed use exactly one of the products?

A. 75
B. 100
C. 150
D. 250
E. 325

The OA is E

Number of people who like only A = 400 – (125 + 125 + 75) = 75;
Number of people who like only B = 400 – (125 + 100 + 75) = 100;
Number of people who like only C = 450 – (125 + 100 + 75) = 150;

Number of people surveyed use exactly one of the products = 75 + 100 + 150 = 325

The correct answer: E

Hope this helps!

-Jay
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[Scott@TargetTestPrep]

Source: GMAT Paper Tests

Untitled (1).png

In a marketing survey for products A, B, and C, 1,000 people were asked which of the products, if any, they use. The three circular regions in the diagram above represent the numbers of people who use products A, B, and C, according to the survey results. Of the people surveyed, a total of 400 use A, a total of 400 use B, and a total of 450 use C. How many of the people surveyed use exactly one of the products?

A. 75
B. 100
C. 150
D. 250
E. 325

The OA is E

Solution:

Since 400 people use product A, 400 - 125 - 75 - 125 = 400 - 325 = 75 people use only product A.
Similarly, since 400 people use product B, 400 - 125 - 75 - 100 = 400 - 300 = 100 people use only product B. Finally, since 450 people use product C, 450 - 125 - 75 - 100 = 450 - 300 = 150 people use only product C. Therefore, 75 + 100 + 150 = 325 people use exactly one of the three products.

Answer: E