In a recent comprehensive survey of 500 employees, a company examined commuting preferences and the factors influencing transportation choices to work. The survey identified four main modes of transportation: Car, Bus, Bicycle, and Walking. Each mode revealed distinct reasons cited by employees for their preferences. Among respondents, 40% favored commuting by Car. Key reasons included convenience and speed (60%), comfort (30%), and flexibility (10%). 25% of employees preferred the Bus. Reasons for choosing this mode included cost-effectiveness (50%), environmental concerns (30%), and availability (20%). Bicycle commuting was preferred by 20% of the surveyed employees. Reasons included health benefits (40%), environmental concerns (30%), and cost-effectiveness (30%). The remaining employees chose Walking as their preferred mode. They cited proximity to work (50%), health benefits (30%), and environmental concerns (20%) as their primary reasons.
Question: 1
How many employees prefer Walking as their mode of transportation?
Given that 40% prefer Car, 25% prefer Bus, 20% prefer Bicycle. Remaining preference for Walking can be calculated as: Walking=100%−(40%+25%+20%)=15% Therefore, 15% of 500 employees prefer Walking: Number of employees=0.15×500=75 (B) 75
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Question: 2
What number of Car users cited comfort as their reason for choosing this mode of transportation?
From the data, 30% of Car users cited comfort as their reason: Percentage of Car users citing comfort = 30% Percentage of Car users = 40% Number of Cars users citing comfort = 30% of 40% of 500 = 60 (C) 60
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Question: 3
If 20 employees who originally preferred Bus decide to switch to Bicycle due to health concerns, how many employees now prefer Bicycle?
Initially, 25% of employees prefer Bus, which is 25% of 500: Number of employees preferring Bus = 0.25×500 =125 After 20 employees switch from Bus to Bicycle: Number of employees preferring Bicycle = 125+20 = 145 (D) 145
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Question: 4
Among employees who prefer Bus, what is the ratio of those who cited cost-effectiveness to those who cited environmental concerns?
Among Bus users, 50% cited cost-effectiveness and 30% cited environmental concerns: Ratio of cost-effectiveness to environmental concerns =\(\frac{50\%}{30\%}\) =\(\frac{5}{3}\) =5:3
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Question: 5
If 120 employees cited health benefits as a reason for their commuting choice, what percentage of those who preferred either Bicycle or Walking cited health benefits as their reason
Number of employees who preferred Bus: 25% of 500 employees = \(0.25 \times 500\) = 125 employees Number of employees who preferred Bicycle: 20% of 500 employees = \(0.20 \times 500\) = 100 employees Total number of employees preferring Bus or Bicycle: = 125 (Bus) + 100 (Bicycle) = 225 employees Percentage of total respondents: = \(\bigg(\frac{225 }{ 500}\bigg) \times 100% \)= 45