CAT 2025 Slot 2 Question Paper with Solutions – Page 5

All 68 questions of CAT 2025 Slot 2. Tap Show answer, or open the detailed solution (free login). Page 5 of 19.

CAT 2025 Slot 2 · QuantHard
If log₆₄(x²) + log₈(√y) + 3 log₅₁₂( √(y)z) = 4, where x, y and z are positive real numbers, then the minimum possible value of (x + y + z) is
  1. 36
  2. 48
  3. 96
  4. 24
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Answer: B. 48

CAT 2025 Slot 2 · QuantHard
Let a_n be the nth term of a decreasing infinite geometric progression.
If a₁ + a₂ + a₃ = 52 and a₁a₂ + a₂a₃ + a₃a₁ = 624, then the sum of this geometric progression is
  1. 54
  2. 60
  3. 63
  4. 57
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Answer: A. 54

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