Swaroop Garg

CAT Preparation Community 10y ago

If u, v, w and m are natural numbers such that $$u^m + v^m = w^m$$ , then which one of the following is true? A.m >= min(u, v, w) B. m >= max(u, v, w) C. m < min(u, v, w) D. None of the

3

Manu Jindal 10y ago

Hi Swaroop,
In the fist case, take m = 1, u = 1, v = 2, w = 3
Then m = minimum of {1,2,3}
In the second case take m = 2, u = 3,v=4, 2=5
mThe answer should be D

Swaroop Garg 10y ago

but how c would be eliminate??

Manu Jindal 10y ago

In C, Only less than option is given but m can also be equal to minimum

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