What is the largest positive integer | Quantitative Aptitude –Quadratic Equation
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The question below is from previous year CAT question from CAT 2019 exam comes from CAT Quadratic Equation : What is the largest positive integer. Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:
CAT 2019 – Slot -2 - Question 5 - What is the largest positive integer
Q. 5: What is the largest positive integer n such that n^2+7n+12 / n^2-n-12 is also a positive integer?
1. 6
2. 16
3. 8
4. 12
Given, (n^2+ 7n+12)/(n^2-n-12 )=(n^2+ 3n+4n+12)/(n^2-4n +3n-12)=((n+3)(n+4))/(n-4)(n+3) =(n+4)/(n-4) is an integers From the option we can see largest possible value of n =12
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