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CAT 2025 Question Paper | Quant Slot 1

CAT Previous Year Paper | CAT Quant Questions | Question 8

CAT 2025 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 8 : A value of \(c\) for which the minimum value of \(f(x)=x^2-4 c x+8 c\) is greater than the maximum value of \(g(x)=-x^2+3 c x-2 c\), is

  1. 2
  2. \(-\frac{1}{2}\)
  3. \(-2\)
  4. \(\frac{1}{2}\)

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The question is " A value of \(c\) for which the minimum value of \(f(x)=x^2-4 c x+8 c\) is greater than the maximum value of \(g(x)=-x^2+3 c x-2 c\), is "

Hence, the answer is '\(\frac{1}{2}\)'

Choice 4 is the correct answer.

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