Aspire Faculty ID #16596 · Topic: NIMCET 2008 · Just now
NIMCET 2008

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 $S$ goes to the new office, which of the following is true?

Solution

If $S$ is selected:

$V$ cannot go (condition iii)

$U$ cannot go (condition iv)

Remaining secretaries must include $T$ and $W$.
Since $T$ is selected, $R$ cannot go (condition ii).

Thus $R$ cannot go and $W$ must go.

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