CAT 2024 Question Paper | Quant Slot 3

CAT Previous Year Paper | CAT Quant Questions | Question 22

CAT 2024 Quant was dominated by Algebra followed by Arithmetic. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 22 The sum of all distinct real values of \(x\) that satisfy the equation \(10^x+\frac{4}{10^x}=\frac{81}{2}\), is

  1. \(2 \log _{10} 2\)
  2. \(3 \log _{10} 2\)
  3. \(4 \log _{10} 2\)
  4. \(\log _{10} 2\)

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Explanatory Answer


The question is "The sum of all distinct real values of \(x\) that satisfy the equation \(10^x+\frac{4}{10^x}=\frac{81}{2}\), is"

Hence, the answer is '\(2 \log _{10} 2\)'

Choice A is the correct answer.

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