GATE CS 2014 Set 1 Q.9 (GA Q.9): Data Interpretation and Graphs

In a survey, 300 respondents were asked whether they own a vehicle or not. If yes, they were further asked to mention whether they own a car or scooter or both. Their responses are tabulated below. What percent of respondents do not own a scooter?

Vehicle Ownership	Category	Men	Women
Own vehicle	Car	40	34
Own vehicle	Scooter	30	20
Own vehicle	Both	60	46
Do not own vehicle	-	20	50

Your answer

Official answer and solution

Official answer: 48
From: Official GATE 2014 answer key

Solution

Determine the number of respondents who do not own a scooter from the survey table, then compute the percentage out of the 300 total respondents.

Total respondents surveyed = 300.

Let us count the respondents who own a scooter:

Scooter only: $30 \text{ (Men)} + 20 \text{ (Women)} = 50$
Both Car and Scooter: $60 \text{ (Men)} + 46 \text{ (Women)} = 106$
Total who own a scooter = $50 + 106 = 156$ .

Therefore, the number of respondents who do not own a scooter is:

300 - 156 = 144

Alternatively, sum those who do not own a scooter directly:

Car only: $40 + 34 = 74$
Do not own vehicle: $20 + 50 = 70$
Total = $74 + 70 = 144$ .

The percentage of respondents who do not own a scooter is:

\frac{144}{300} \times 100\% = 48\%

Final answer

Common trap

Forgetting to include the respondents who own both a car and a scooter when counting scooter owners.

The answer is the one in the official GATE answer key. The solution is this site's own explanation.

Source

Paper: GATE 2014 Computer Science and Information Technology (CS) Session 1
Question: 9 of 65, printed as GA Q.9
Section: General Aptitude

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