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CAT 2017 Slot 1 — QA Question 21

MeansEasy

Suppose, log3x = log12y = a, where x, y are positive numbers. If G is the geometric mean of x and y, and log6G is equal to:

Answer & solution

  • A

    √a

  • B

    2a

  • C

    a/2

  • a

Solution

log3x = a ⇒ x = 3a.

log12y = a ⇒ y = 12a.

∴ xy = 36a and √(xy) = G = 6a.

∴ log6G = a.

Hence, option (d).

CAT 2017 Slot 1 QA Q21: Suppose, log 3 x = log 12 y = a, where x, y are positive numbers. If G is the geometric mean of x and y, and l — Solution | TheCATExam