Question

If $A+D=B+C,A+E=C+D,2C<A+E$ and $2A>B+D,$ then

• A. $A>B>C>D>E$
• B. $B>A>D>C>E$
• C. $D>B>C>A>E$
• D. $B>C>D>E>A$

Answer 1

Answer: (B)

$B>A>D>C>E$

$2C<A+E,A+E=C+D$
$\Rightarrow 2C<C+D\Rightarrow C<D$ $......\left(1\right)$
$A+D=B+C,C<D\Rightarrow A<B$ $......\left(2\right)$
$2A>B+D.A<B\Rightarrow A>D$ $......\left(3\right)$
$A+E=C+D,A>D\Rightarrow E<C$ $......\left(4\right)$