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CAT Previous Year Paper | CAT Quants Questions | Question 13

The trickier questions under Logarithms have confused the best of us! The best way to get out of this continuous loop of confusion is to practice a lot of questions, especially from CAT previous year paper. They'll help you understand the importance of various topics and how you can alter your CAT preparation online strategy based on the pattern and the difficulty level of questions of the CAT exam. Don't put this off for later! Start solving these questions right now with this beautiful question from CAT 2019 Question Paper.

Question 13 : Let A be a real number. Then the roots of the equation x2 - 4x - log2A = 0 are real and distinct if and only if

  1. A < \\frac{1}{16})
  2. A > \\frac{1}{8})
  3. A > \\frac{1}{16})
  4. A < \\frac{1}{8})

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Explanatory Answer

For roots of any Quadratic equation to be real and distinct, D > 0
So, for x2 − 4x - = 0,
D = (-4)2 - (4 x 1 x (-)) > 0
16 + 4 > 0
4 + > 0
> -4
A >
A >


The question is "Let A be a real number. Then the roots of the equation x2 - 4x - log2A = 0 are real and distinct if and only if"

Hence, the answer is \\frac{1}{16})

Choice C is the correct answer.

 

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