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in Quantitative Aptitude
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I think here adjacent is implied !
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If adjacent is implied then we can answer the query using (1) and (3) only I think .

(1) CBE / EBC

(2) EB

(3) ADE / EDA

Now, If we take : CBE then ADE (Not feasible) so, only EDA

i.e. CBEDA ----> E is middle

Now, If we take : EBC then EDA (Not feasible) so, only ADE

i.e. ADEBC ----> E is middle

Hence, only (1) and (3) are sufficient !

Anything wrong above ?

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If adjacency is implied then it should be implied for both "to the right" as well as "between". So if we consider the second option which says B is in right of E then it means BE is there. Also if we consider the third statement which says D is in middle of A and E then ADE is there. Right of D can only be A or B not both. So second and third option are contradicting each other if we assume adjacency.
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