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x + y + z + w = 17, where x, y and z are natural numbers and x ≥ 1, y ≥ 3, z ≥ 1 and w ≥ 2. What is the maximum value of (x - 1) (y + 3) (z - 1) (w - 2)

OA Not known.

- 17 Comments
- @hksparadox 216 or 256 ?. 11 Nov.
- AM GM is an issue when u deal with only natural numbers t.... 11 Nov.

AM GM is an issue when u deal with only natural numbers that too with constraints, try to put minimum value of each at first and then maximise it would be 216 @iimcat2015

Approach please:

- 5 Comments
- 999. 25 Oct.
- 999..... 25 Oct.

Has Aimcat 1607 been added to Missed Aimcats? Unable to find it in my Login

- yes. 12 Oct.
- @bluechip yes. 12 Oct.