If for any pair of two positive integers $M$ and $N,$ their arithmetic mean $A(M,N)$ is defined as

If for any pair of two positive integers $M$ and $N,$ their arithmetic mean $A(M,N)$ is defined as $\dfrac{M+N}2$ while their geometric mean $G(M,N)$ is defined as $\sqrt{MN},$ is $M$ larger than $N?$

(1) $A(G(M,N),M)=M$

(2) $A(M,N)-G(M,N)=0$

Answer: D

Source: GMAT Club Tests

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