Comprehension
A multinational corporation is planning to establish new offices in five cities: A, B, C, D, and E, with a total budget of 150 million USD allocated for this expansion. To determine the fund allocation for each city, a composite score is calculated based on three key factors: Market Potential, Infrastructure, and Cost of Living. These factors are weighted at 40%, 35%, and 25%, respectively. City A has the highest market potential among the cities but scores lowest in infrastructure quality. City B ranks highest in infrastructure quality but has the highest cost of living. City C, despite having the lowest market potential, offers the lowest cost of living among the cities under consideration.
The composite score for each city is computed as a weighted average of its ratings on these factors, where ratings range from 1 to 10. The fund allocation for each city will be directly proportional to its composite score, reflecting its overall attractiveness for establishing new offices based on market potential, infrastructure quality, and cost of living considerations.
The composite score for each city is computed as a weighted average of its ratings on these factors, where ratings range from 1 to 10. The fund allocation for each city will be directly proportional to its composite score, reflecting its overall attractiveness for establishing new offices based on market potential, infrastructure quality, and cost of living considerations.
Question: 1
If the composite scores of cities A, B, and C are 7.2, 7.8, and 6.5 respectively, calculate the total fund allocation for these three cities.
If the composite scores of cities A, B, and C are 7.2, 7.8, and 6.5 respectively, calculate the total fund allocation for these three cities.
Updated On: Aug 20, 2024
- 105 million USD
- 112.5 million USD
- 120 million USD
- 127.5 million USD
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Total composite score for A, B, and C \(= 7.2 + 7.8 + 6.5 = 21.5\)
Total fund allocation for these cities = \(\left( \frac{21.5}{\text{Total composite score}} \right) \times 150 \text{ million USD}\)
Assuming equal weightage for all cities, total composite score
\(= 5 \times\) average composite score \(= 5 \times 7.2 = 36\)
Total fund allocation =\(\left( \frac{21.5}{36} \right) \times 150\) million USD = 112.5 million USD
Was this answer helpful?
0
0
Question: 2
If city D's fund allocation is 40 million USD and its composite score is 8, what is the composite score of city E, given that its fund allocation is 30 million USD?
If city D's fund allocation is 40 million USD and its composite score is 8, what is the composite score of city E, given that its fund allocation is 30 million USD?
Updated On: Aug 20, 2024
- 6
- 6.5
- 7
- 7.5
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Fund allocation is directly proportional to composite score.
Ratio of fund allocations for D and E = \(\frac{40}{30} = \frac{4}{3}\)
Ratio of composite scores for D and \(E = \frac{8}{x}\)
Equating the ratios: \(\frac{4}{3} = \frac{8}{x}\)
\(x = 2\times3 = 6\)
Was this answer helpful?
0
0
Question: 3
If the weightage for market potential is increased to 50%, and all other factors remain constant, would the total fund allocation for cities with above-average market potential:
If the weightage for market potential is increased to 50%, and all other factors remain constant, would the total fund allocation for cities with above-average market potential:
Updated On: Aug 20, 2024
- Increase
- Decrease
- Remain the same
- Cannot be determined
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Increasing the weightage of market potential would increase the composite score for cities with above-average market potential, leading to a higher fund allocation for them.
Was this answer helpful?
0
0
Question: 4
If a new factor, "Talent Availability," is introduced with a weightage of 15%, how would this affect the calculation of composite scores and fund allocation?
If a new factor, "Talent Availability," is introduced with a weightage of 15%, how would this affect the calculation of composite scores and fund allocation?
Updated On: Aug 20, 2024
- Composite scores would increase, fund allocation would increase for all cities.
- Composite scores would decrease, fund allocation would decrease for all cities.
- Composite scores would change, fund allocation distribution might change.
- Composite scores would remain unchanged, fund allocation would remain unchanged.
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Introducing a new factor would recalculate the composite scores for all cities, potentially changing their relative rankings and fund allocations.
Was this answer helpful?
0
0
Question: 5
If the average cost of living in city A is 20% higher than in city C, and the infrastructure score of city A is 2 points lower than city C, then which of the following statements is definitely true?
If the average cost of living in city A is 20% higher than in city C, and the infrastructure score of city A is 2 points lower than city C, then which of the following statements is definitely true?
Updated On: Aug 20, 2024
- City A has a higher market potential than city C
- City A has a lower composite score than city C.
- City A has a higher fund allocation than city C.
- None of the above
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
The information provided is insufficient to determine the relationship between the composite scores and fund allocations of city A and city C.
Was this answer helpful?
0
0
Top Questions on Data Interpretation
- In a class of 40 students, the ratio of boys to girls is 3:2. The average marks scored by boys is 42, and that by girls is 46. What is the average marks scored by the whole class?
- CUET (UG) - 2024
- General Aptitude
- Data Interpretation
- The monthly salary for a person who follows the same expense pattern, but has a petrol expense of Rs 500 p.m., is:
- VITEEE - 2024
- General Aptitude
- Data Interpretation
- Let \(P\) be the partial order defined on the set \(\{1, 2, 3, 4\}\) as follows: \[ P = \{(x, x) \mid x \in \{1, 2, 3, 4\}\} \cup \{(1, 2), (3, 2), (3, 4)\} \] The number of total orders on \(\{1, 2, 3, 4\}\) that contain \(P\) is ...........\_\_\_.
- GATE CS - 2024
- General Aptitude
- Data Interpretation
- When six unbiased dice are rolled simultaneously, the probability of getting all distinct numbers (i.e., \( 1, 2, 3, 4, 5, \) and \( 6 \)) is
- GATE CS - 2024
- General Aptitude
- Data Interpretation
- Let \( A \) be the adjacency matrix of a simple undirected graph \( G \). Suppose \( A \) is its own inverse. Which one of the following statements is always TRUE?
- GATE CS - 2024
- General Aptitude
- Data Interpretation
View More Questions
Questions Asked in CAT exam
- The sum of all real values of $k$ for which $(\frac{1}{8})^k \times (\frac{1}{32768})^{\frac{4}{3}} = \frac{1}{8} \times (\frac{1}{32768})^{\frac{k}{3}}$ is
- CAT - 2024
- Logarithms
- When $10^{100}$ is divided by 7, the remainder is ?
- CAT - 2024
- Basics of Numbers
- In September, the incomes of \(K\), \(A\), and \(V\) are in the ratio \(8:6:5\). They rent a house, contributing \(15\%\), \(12\%\), and \(18\%\) of their respective incomes. In October, the rent remains the same, but the salaries of \(K\), \(A\), and \(V\) increase by \(10\%\), \(12\%\), and \(15\%\), respectively. What percentage of their total income is paid as house rent in October? (Round to the nearest percentage.)
- CAT - 2024
- Percentages
- There are four numbers such that average of first two numbers is 1 more than the first number, average of first three numbers is 2 more than average of first two numbers, and average of first four numbers is 3 more than average of first three numbers. Then, the difference between the largest and the smallest numbers, is
- CAT - 2024
- Averages
- Sam can complete a job in 20 days when working alone. Mohit is twice as fast as Sam and thrice as fast as Ayana in the same job. They undertake a job with an arrangement where Sam and Mohit work together on the first day, Sam and Ayana on the second day, Mohit and Ayana on the third day, and this three-day pattern is repeated till the work gets completed. Then, the fraction of total work done by Sam is
- CAT - 2024
- Time and Work
View More Questions