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CAT 2025 Question Paper | Quant Slot 3

CAT Previous Year Paper | CAT Quant Questions | Question 15

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 15 : For real values of \( x \), the range of the function \( f ( x ) = \frac { 2 x - 3 } { 2 x ^ { 2 } + 4 x - 6 } \) is

  1. \( \left( - \infty , \frac { 1 } { 8 } \right] \cup [ 1 , \infty ) \)
  2. \( \left( - \infty , \frac { 1 } { 8 } \right] \cup \left[ \frac { 1 } { 2 } , \infty \right) \)
  3. \( \left( - \infty , \frac { 1 } { 4 } \right] \cup \left[ \frac { 1 } { 2 } , \infty \right) \)
  4. \( \left( - \infty , \frac { 1 } { 4 } \right] \cup [ 1 , \infty ) \)

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The question is " For real values of \( x \), the range of the function \( f ( x ) = \frac { 2 x - 3 } { 2 x ^ { 2 } + 4 x - 6 } \) is "

Hence, the answer is '\( \left( - \infty , \frac { 1 } { 8 } \right] \cup \left[ \frac { 1 } { 2 } , \infty \right) \)'

Choice 2 is the correct answer.

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