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If 17x + 20y = 2017 and x and y are positive integers, what is the maximum value of (x+y)?
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If 17x + 20y = 2017 and x and y are positive integers, what is the max...
Given Equation:
17x + 20y = 2017

Constraints:
- x and y are positive integers

Finding Maximum Value of (x+y):

Step 1: Identify the General Solution:
- To find the maximum value of (x+y), we need to find the possible values of x and y that satisfy the given equation while maximizing the sum (x+y).
- We can start by finding the general solution to the equation 17x + 20y = 2017.

Step 2: Determine the Maximum Value:
- By analyzing the equation, we can see that the coefficients of x and y are relatively prime (17 and 20).
- Using the Extended Euclidean Algorithm, we can find a particular solution to the equation and then generate all other solutions.
- After finding the solutions, we need to check for positive integer values of x and y.
- We can then calculate the sum (x+y) for each valid solution and determine the maximum value.

Step 3: Finalize the Maximum Value:
- By following the steps outlined above, we can determine the maximum value of (x+y) that satisfies the given equation and the constraints provided.
- This maximum value represents the optimal combination of x and y that yield the highest possible sum while meeting all the conditions.
By carefully analyzing the equation, applying mathematical techniques, and considering the constraints, we can efficiently determine the maximum value of (x+y) for the given scenario.
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Group QuestionAnswer the following question based on the information given below.India’s GDP per capita (in terms of purchasing power parity) almost doubled between 2007 and 2016, from $3,587 to $6,599. Growth slowed after the 2008 crisis, hitting a decade low in 2012-2013. But if anything, this provided the country with the opportunity to rethink its policies and engage more firmly in the reforms necessary to improve its competitiveness. Growth rebounded in 2014, and in 2015 surpassed that of China.India’s overall competitiveness score was rather stagnant between 2007 and 2014, and the country slipped down the rankings in the Global Competitiveness Report as others made improvements.However, improvements since 2014 have seen it climb to 39th in this year’s edition of the report - up from 48th in 2007-2008. Its overall score improved by 0.19 points in that time.Improvements in health, primary education and infrastructurecontributed most to this improvement - although this is partly explained by the relatively large weight these “basic requirements” components have until now been given in factor-driven economies, each accounting for 15% of the final score.Improvements in infrastructure were small and faltering until 2014, when the government increased public investment and accelerated approval procedures to attract private resources. Macroeconomic conditions - the third-biggest positive contributor - followed a similar path: the recent slump in commodity prices has helped India to keep inflation below its target of 5%, while rebalancing its current account and decreasing its public deficit. Another improvement over the past decade has been increased market size (the adoption of new PPP estimates by the IMF in 2014 also contributed to the upward increase in the measure of market size used in the GCI).In other areas, India has not yet recovered to 2007 levels, with the biggest shortfall coming in financial market development - this pillar taking 0.03 points off India’s 2016 score in comparison to 2007 (a reduced pillar score of 0.52 points, multiplied by a pillar weight of 6%). The Reserve Bank of India has helped increase financial market transparency, shedding light on the large amounts of non-performing loans previously not reported on the balance sheets of Indian banks. However, the banks have not yet found a way to sell these assets, and in some cases need large recapitalizations.The efficiency of the goods market has also deteriorated, as India failed to address long-running problems such as different local sales and value added taxes (this is set to finally change as of 2017 if the Central GST and Integrated GST bills currently in parliament are fully implemente d). Another area of concern is India’s stagnating performance in technological readiness, a pillar on which it scores one full point lower than any other. These three pillars will be key for India to prosper in its next stage of development, when it will no longer be possible to base its competitiveness on low-cost, abundant labour. Higher education and training has also shown no improvement.The statement- “Growth rebounded in 2014, and last year surpassed that of China.” implies

Indias GDP per capita (in terms of purchasing power parity) almost doubled between 2007 and 2016, from $3,587 to $6,599. Growth slowed after the 2008 crisis, hitting a decade low in 2012-2013. But if anything, this provided the country with the opportunity to rethink its policies and engage more firmly in the reforms necessary to improve its competitiveness. Growth rebounded in 2014, and in 2015 surpassed that of China.Indias overall competitiveness score was rather stagnant between 2007 and 2014, and the country slipped down the rankings in the Global Competitiveness Report as others made improvements.However, improvements since 2014 have seen it climb to 39th in this years edition of the report - up from 48th in 2007-2008. Its overall score improved by 0.19 points in that time.Improvements in health, primary education and infrastructurecontributed most to this improvement - although this is partly explained by the relatively large weight these basic requirements components have until now been given in factor-driven economies, each accounting for 15% of the final score.Improvements in infrastructure were small and faltering until 2014, when the government increased public investment and accelerated approval procedures to attract private resources. Macroeconomic conditions - the third-biggest positive contributor - followed a similar path: the recent slump in commodity prices has helped India to keep inflation below its target of 5%, while rebalancing its current account and decreasing its public deficit. Another improvement over the past decade has been increased market size (the adoption of new PPP estimates by the IMF in 2014 also contributed to the upward increase in the measure of market size used in the GCI).In other areas, India has not yet recovered to 2007 levels, with the biggest shortfall coming in financial market development - this pillar taking 0.03 points off Indias 2016 score in comparison to 2007 (a reduced pillar score of 0.52 points, multiplied by a pillar weight of 6%). The Reserve Bank of India has helped increase financial market transparency, shedding light on the large amounts of non-performing loans previously not reported on the balance sheets of Indian banks. However, the banks have not yet found a way to sell these assets, and in some cases need large recapitalizations.The efficiency of the goods market has also deteriorated, as India failed to address long-running problems such as different local sales and value added taxes (this is set to finally change as of 2017 if the Central GST and Integrated GST bills currently in parliament are fully implemente d). Another area of concern is Indias stagnating performance in technological readiness, a pillar on which it scores one full point lower than any other. These three pillars will be key for India to prosper in its next stage of development, when it will no longer be possible to base its competitiveness on low-cost, abundant labour. Higher education and training has also shown no improvement.Q. The statement- Growth rebounded in 2014, and last year surpassed that of China. implies

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If 17x + 20y = 2017 and x and y are positive integers, what is the maximum value of (x+y)?
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If 17x + 20y = 2017 and x and y are positive integers, what is the maximum value of (x+y)? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about If 17x + 20y = 2017 and x and y are positive integers, what is the maximum value of (x+y)? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 17x + 20y = 2017 and x and y are positive integers, what is the maximum value of (x+y)?.
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