Solve the problem.
-A certain part of a metropolitan area has a palindromic, 5-digit area code, say abcde, satisfying these conditions:
a, b and $c$ are all multiples of two and are all less than 8 ;
$a \neq b$ but $a + b = 6$;
$c \neq d$ but $a + c = 12$;
$\mathrm { e } \neq \mathrm { b }$ or $\mathrm { d }$;
$b + d \neq 4$.
Determine the area code.
A) 60606
B) 44244
C) 24842
D) 42024

Question

Solve the problem.
-A certain part of a metropolitan area has a palindromic, 5-digit area code, say abcde, satisfying these conditions: 
a, b and $c$ are all multiples of two and are all less than 8 ;
$a \neq b$ but $a + b = 6$;
$c \neq d$ but $a + c = 12$;
$\mathrm { e } \neq \mathrm { b }$ or $\mathrm { d }$;
$b + d \neq 4$.
Determine the area code.
A) 60606
B) 44244
C) 24842
D) 42024

Quizplus · Accepted Answer

The only choice that satisfies all the given conditions is 60606.

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