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CAT Previous Year Paper | CAT Quants Questions | Question 8

Number System questions are generally not very easy to have a crack at if you have not practiced the topic adequately. What better for practice than to solve the questions in the CAT previous year paper? This'll give you a glimpse of the difficulty level of questions, plus the googlies that the CAT exam can throw at you! Prepare yourself well and do not get caught off guard while attempting the CAT Question Paper this year. Start levelling up your CAT preparation online by starting your practice with this question!

Question 8 : What is the largest positive integer such that \\frac{n^2+7n+12}{n^2-n-12}) is also positive integer?

  1. 6
  2. 8
  3. 16
  4. 12

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Explanatory Answer

can be rewritten as
= 1 +
1 + = 1 +
n cannot be -3
has to be an integer
And this value has to be equal to 1, for n to be high
So,= 1
8 = n - 4
n = 12

The question is "What is the largest positive integer such that \\frac{n^2+7n+12}{n^2-n-12}) is also positive integer? "

Hence, the answer is 12

Choice D is the correct answer.


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