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CAT 2025 Question Paper | Quant Slot 2

CAT Previous Year Paper | CAT Quant Questions | Question 8

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 8 : Let \( a _ { n } \) be the \( n ^ { \text {th } } \) term of a decreasing infinite geometric progression. If \( a _ { 1 } + a _ { 2 } + a _ { 3 } = 52 \) and \( a _ { 1 } a _ { 2 } + a _ { 2 } a _ { 3 } + a _ { 3 } a _ { 1 } = 624 \), then the sum of this geometric progression is

  1. \( 63 \)
  2. \( 60 \)
  3. \( 54 \)
  4. \( 57 \)

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The answer is '\( 54 \)'

Choice 3 is the correct answer.

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