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CAT 2025 Question Paper | Quant Slot 3

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 : If \( \left( x ^ { 2 } + \frac { 1 } { x ^ { 2 } } \right) = 25 \) and \( x > 0 \), then the value of \( \left( x ^ { 7 } + \frac { 1 } { x ^ { 7 } } \right) \) is

  1. \( 44859 \sqrt { 3 } \)
  2. \( 44856 \sqrt { 3 } \)
  3. \( 44853 \sqrt { 3 } \)
  4. \( 44850 \sqrt { 3 } \)

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Explanatory Answer

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The question is " If \( \left( x ^ { 2 } + \frac { 1 } { x ^ { 2 } } \right) = 25 \) and \( x > 0 \), then the value of \( \left( x ^ { 7 } + \frac { 1 } { x ^ { 7 } } \right) \) is "

Hence, the answer is '\( 44853 \sqrt { 3 } \)'

Choice 3 is the correct answer.

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