Modern Maths CAT 2025 Slot 2 Actual Questions

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

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