PGDBA 2022 Question Paper | Quant

PGDBA Previous Year Paper | PGDBA Quant Questions | Question 15

CAT 2022 Quant was dominated by Arithmetic followed by Algebra. 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 : Consider the function \( f : \mathbb { R } \rightarrow \mathbb { R } \) defined by \[ f ( x ) = \max \left\{ x , x ^ { 2 } \right\} - \min \left\{ x , x ^ { 2 } \right\} \] Then \( f \) is differentiable

  1. everywhere except \( x = 0 \)
  2. everywhere except \( x = 0 \) and \( x = - 1 \)
  3. everywhere except \( x = 0 \) and \( x = 1 \)
  4. everywhere except \( x = 0 , x = 1 \) and \( x = - 1 \)

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The answer is 'everywhere except \( x = 0 \) and \( x = 1 \)'

Choice C is the correct answer.

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