turkey-yks 2017 Q12

turkey-yks · Other · lys1-math Number Theory Properties of Integer Sequences and Digit Analysis

Three-digit natural numbers $ADB$, $ADC$, $DAA$, $DAD$ $$\begin{aligned}& \mathrm{ADB} < \mathrm{DAA} \\& \mathrm{DAD} < \mathrm{ADC}\end{aligned}$$ satisfy the inequalities.\ Accordingly, which of the following orderings is correct?\ A) A $=$ D $<$ B $<$ C\ B) C $<$ A $=$ B $<$ D\ C) D $<$ A $=$ B $<$ C\ D) B $<$ A $=$ D $<$ C\ E) C $<$ A $=$ D $<$ B

Three-digit natural numbers $ADB$, $ADC$, $DAA$, $DAD$
$$\begin{aligned}& \mathrm{ADB} < \mathrm{DAA} \\& \mathrm{DAD} < \mathrm{ADC}\end{aligned}$$
satisfy the inequalities.\
Accordingly, which of the following orderings is correct?\
A) A $=$ D $<$ B $<$ C\
B) C $<$ A $=$ B $<$ D\
C) D $<$ A $=$ B $<$ C\
D) B $<$ A $=$ D $<$ C\
E) C $<$ A $=$ D $<$ B

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