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 x^{2} - 4x - log_{2}A = 0 are real and distinct if and only if

- A < \\frac{1}{16})
- A > \\frac{1}{8})
- A > \\frac{1}{16})
- A < \\frac{1}{8})

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For roots of any Quadratic equation to be real and distinct, D > 0

So, for x^{2} − 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 x ^{2} - 4x - log_{2}A = 0 are real and distinct if and only if" **

**Choice C** is the correct answer.

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