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CAT 2025 Question Paper | Quant Slot 2

CAT Previous Year Paper | CAT Quant Questions | Question 4

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 4 : Let \( f ( x ) = \frac { x } { ( 2 x - 1 ) } \) and \( g ( x ) = \frac { x } { ( x - 1 ) } \). Then, the domain of the function \( h ( x ) = f ( g ( x ) ) + g ( f ( x ) ) \) is all real numbers except

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

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The question is " Let \( f ( x ) = \frac { x } { ( 2 x - 1 ) } \) and \( g ( x ) = \frac { x } { ( x - 1 ) } \). Then, the domain of the function \( h ( x ) = f ( g ( x ) ) + g ( f ( x ) ) \) is all real numbers except "

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

Choice 1 is the correct answer.

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