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CAT 2025 Question Paper | Quant Slot 2

CAT Previous Year Paper | CAT Quant Questions | Question 14

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 14 : The set of all real values of \( x \) for which \( \left( x ^ { 2 } - | x + 9 | + x \right) > 0 \), is

  1. \( ( - \infty , - 9 ) \cup ( 9 , \infty ) \)
  2. \( ( - \infty , - 3 ) \cup ( 3 , \infty ) \)
  3. \( ( - 9 , - 3 ) \cup ( 3 , \infty ) \)
  4. \( ( - \infty , - 9 ) \cup ( 3 , \infty ) \)

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Explanatory Answer

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The question is " The set of all real values of \( x \) for which \( \left( x ^ { 2 } - | x + 9 | + x \right) > 0 \), is "

Hence, the answer is '\( ( - \infty , - 3 ) \cup ( 3 , \infty ) \)'

Choice 2 is the correct answer.

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