MeansCAT Previous-Year Questions

5 previous-year questions on Means from CAT, with full solutions. Practise free — check answers as you go; sign in to save your progress.

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5 questions

Means · CAT PYQs

CAT 2023 Slot 1 · QA
Q1.

For some positive and distinct real numbers x, y and z if 1y+z is the arithmetic mean of 1x+z and 1x+y, then the relationship which will always hold true, is?

CAT 2018 Slot 2 · QA
Q2.

The arithmetic mean of x, y and z is 80, and that of x, y, z, u and v is 75, where u = (x + y)/2 and v = (y + z)/2. If x ≥ z, then the minimum possible value of x is

CAT 2017 Slot 1 · QA
Q3.

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:

CAT 2017 Slot 2 · QA
Q4.

If log (2a × 3b × 5c) is the arithmetic mean of log (22 × 33 × 5), log (26 × 3 × 57), and log (2 × 32 × 54), then a equals

CAT 2003 Slot 1 · QA
Passage / Data

Each question is followed by two statements, A and B. Answer each question using the following instructions

Choose 1 if the question can be answered by using one of the statements alone but not by using the other statement alone.
Choose 2 if the question can be answered by using either of the statements alone.
Choose 3 if the question can be answered by using both statements together but not by either statement alone.
Choose 4 if the question cannot be answered on the basis of the two statements.

Q5.

If the product of n positive real numbers is unity, then their sum is necessarily