NIMCET 2009 Question Paper with solutions

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Question : 52 of 120

Marks: +1, -0

If

A+B=C+D,

B+D=2 A,

D+E>A+B

,

C+D>A+E

, then which of the following is true?

$D > B > E > A > C$
$A > B > D > E > C$
$A > D > B > E > C$
$A > D > B > E > C$

Solution:

A+B=C+D

...(i)

B+D=2 A

....(ii)

D+E>A+B

....(iii)

C+D > A+E

.....(iv)
From Eqs. (i) and (iv),

A+B > A+E ⇒ B>E

From Eqs. (i) and (iii),

D+E>C+D ⇒ E>C

⇒ \;\; B > E > C

By putting in Eq. (i), we get

A < D

⇒ \;\; D>A>B>E>C

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