The positive real numbers $a \times 10 ^ { - 3 } , b \times 10 ^ { - 2 }$ and $c \times 10 ^ { - 1 }$ are each in standard form, and $$\left( a \times 10 ^ { - 3 } \right) + \left( b \times 10 ^ { - 2 } \right) = \left( c \times 10 ^ { - 1 } \right)$$ Which of the following statements (I, II, III, IV) must be true? $$\begin{array} { l l }
\text { I } & a > 9 \\
\text { II } & b > 9 \\
\text { III } & a < c \\
\text { IV } & b < c
\end{array}$$ A I only B II only C I and II only D I and III only E I and IV only F II and III only G II and IV only H I, II, III and IV
& C
The positive real numbers $a \times 10 ^ { - 3 } , b \times 10 ^ { - 2 }$ and $c \times 10 ^ { - 1 }$ are each in standard form, and
$$\left( a \times 10 ^ { - 3 } \right) + \left( b \times 10 ^ { - 2 } \right) = \left( c \times 10 ^ { - 1 } \right)$$
Which of the following statements (I, II, III, IV) must be true?
$$\begin{array} { l l }
\text { I } & a > 9 \\
\text { II } & b > 9 \\
\text { III } & a < c \\
\text { IV } & b < c
\end{array}$$
A I only
B II only
C I and II only
D I and III only
E I and IV only
F II and III only
G II and IV only
H I, II, III and IV