If U, V, W and m are natural numbers such that Um + Vm = Wm, then which of the following is true?
Explanation:
Taking m = 1, we have,
U1 + V1 = W1
The least values of U and V are 1 and 1.
∴ Least value of W = 2
Also, taking m = 2, we have,
U2 + V2 = W2
The least values of U and V are 3 and 4 (not necessarily in that order).
∴ Least value of W = 5
∴ m is always less than Max(U, V, W).
Hence, option (c).
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