Title: CAT 2017 Slot 1 QA - Sample Solution for an Indian Context Scenario
Content: Quantitative Ability (QA) Answer Key with Explanation
Question Statement
An Indian state's tourism department releases data on annual游客 growth in two cities: Mumbai and Jaipur. In 2016, Mumbai attracted 2.5 million tourists, while Jaipur had 1.8 million. In 2017, Mumbai saw a 12% increase, and Jaipur recorded a 20% growth. However, due to a monsoon delay, Mumbai's growth slowed by 5% in 2018. Calculate the ratio of tourists in 2018 between Jaipur and Mumbai, and determine which city now has the highest tourist inflow.
Solution
Step 1: Calculate 2017 Tourist Counts
Mumbai 2017:
( 2,500,000 \times 1.12 = 2,800,000 ) tourists.
Jaipur 2017:
( 1,800,000 \times 1.20 = 2,160,000 ) tourists.
Step 2: Adjust Mumbai's 2018 Growth
The 2018 growth for Mumbai is reduced by 5% of its 2017 growth rate:
( 12% - 5% = 7% ).
Mumbai 2018:
( 2,800,000 \times 1.07 = 2,996,000 ) tourists.
Step 3: Assume Jaipur's 2018 Growth
Assume Jaipur maintains its 2017 growth rate (20%) for simplicity.
Jaipur 2018:
( 2,160,000 \times 1.20 = 2,592,000 ) tourists.
Step 4: Compute Ratio (Jaipur:Mumbai)
( \text{Ratio} = \frac{2,592,000}{2,996,000} = \frac{1296}{1498} \approx 0.864 ).
Step 5: Compare Tourist Inflows
Mumbai 2018: 2,996,000 tourists.
Jaipur 2018: 2,592,000 tourists.
Conclusion: Mumbai retains higher tourist inflow despite slower growth.
Answer Key
Ratio: ( \frac{1296}{1498} ) (simplified to ( \frac{648}{749} )).
Leading City: Mumbai.
Notes
This is a hypothetical QA question tailored to reflect CAT exam patterns and Indian context.
Actual CAT 2017 Slot 1 QA questions may differ; verify with official sources for precise answers.
Reference: CAT Official Answer Key (if available) or standard QA problem-solving frameworks.
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