CAT 2019 Question Paper | Quants Slot 2

CAT Previous Year Paper | CAT Quants Questions | Question 19

Are Logarithm questions leaving you jittery? Are these questions making you feel that your online CAT Preparation is not upto the mark? Worry not! The best way to go about conquering questions like these is to practice more and more. You will find a good repository of questions in the CAT previous year paper which will help you come face to face with the difficulty level of questions in the CAT Question Paper. Based on how well you can solve these questions without having to look at the solution provided you can rejig your preparation strategy. The best part is that you don't even need to flip the tabs to practice these questions. Start right here with this beautiful Logarithms question from CAT 2019 Question Paper.

Question 19 : If x is a real number ,then \\sqrt{log_{e}\frac{4x - x^2}{3}}) is a real number if and only if

  1. -3 ≤ x ≤ 3
  2. 1 ≤ x ≤ 2
  3. 1 ≤ x ≤ 3
  4. -1 ≤ x ≤ 3

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Explanatory Answer

It is given that, is a real number
Therefore, ≥ 0
≥ 1
≥ 3
- 4x + 3 ≤ 0
−1) (x-3) ≤ 0
x [1,3]

The question is "If x is a real number ,then \\sqrt{log_{e}\frac{4x - x^2}{3}}) is a real number if and only if"

Hence, the answer is 1 ≤ x ≤ 3

Choice C is the correct answer.


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