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The office staff of XYZ Corporation presently consists of three bookkeepers, P, Q, R and 5 secretaries
S, T, U, V, W. The management is planning to open a new office in another city using 2 bookkeepers
and 3 secretaries of the present staff. To do so they plan to separate certain individuals who don‟t
function well together. The following guidelines were established to set up the new office:
(i) Bookkeepers P and R are constantly finding fault with one another and should not be sent
together to the new office as a team.
(ii) R and T function well alone but not as a team, they should be separated.
(iii) S and V have not been on speaking terms and shouldn‟t go together.
(iv) Since S and U have been competing for promotion they shouldn‟t be a team. 

If $R$ is sent to the new office, which member of the staff cannot go with $R$?






Solution

From the conditions: $R$ cannot go with $P$ $R$ cannot go with $T$ Among the given options, only $S$ is indirectly restricted through combinations. But $S$ causes conflict when paired with $U$ or $V$, not $R$. However, selecting $S$ with $R$ may force invalid secretary combinations. Thus $S$ cannot be safely included with $R$.


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