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If \(a, b,\) and \(c\) represent the number of unique digits in the decimal representation of \(\dfrac1{2^6\times 5^2},\dfrac1{2^3\times 5^3},\dfrac1{2^2\times 5^5}\) respectively, which of the following is true?
A) \(a>b>c\)
B) \(a=2b+c\)
C) \(a=4(c-b)\)
D) \(a=b^2+c^2+2\)
E) \(a^2=2(b^2+c^2)\)
Answer: E
Source: e-GMAT
A) \(a>b>c\)
B) \(a=2b+c\)
C) \(a=4(c-b)\)
D) \(a=b^2+c^2+2\)
E) \(a^2=2(b^2+c^2)\)
Answer: E
Source: e-GMAT
