CAT - | PYQs + Solutions

CAT

Modern Math

Medium

$-\log _{2}(1 / 5)$

$\log _{2}(1 / 5)$

$-\log _{2}(1 / 3)$

$\log _{2}(1 / 3)$

✅ Correct Option: 4

Related questions:

CAT 2018 Slot 2

$\dfrac{1}{\log _{2} 100}-\dfrac{1}{\log _{4} 100}+\dfrac{1}{\log _{5} 100}-\dfrac{1}{\log _{10} 100}+\dfrac{1}{\log _{20} 100}-\dfrac{1}{\log _{25} 100}+\dfrac{1}{\log _{50} 100}= \ ?$

CAT 2021 Slot 3

For a real number $a$ , if $\frac{\log _{15} a+\log _{32} a}{\left(\log _{15} a\right)\left(\log _{32} a\right)}=4$ then a must lie in the range.

CAT 2024 Slot 2

If a, b and c are positive real numbers such that $a > 10 \ge b \ge c$ and $\frac{\log_8(a+b)}{\log_2 c} + \frac{\log_{27}(a - b)}{\log_3 c} = \frac{2}{3}$ , then the greatest possible integer value of a is

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