TEASER - 11
HOUSE CATEGORY
In a particular locality, large number of residential houses were to be constructed in different sizes. Due to certain problems only few houses of different sizes, scattered haphazardly, could be constructed initially. While making allotment, the completed houses were graded and grouped in A, B, C and D category as per their sizes in ascending order, where A is smallest and D is largest house. Whether the categorization of houses in A, B, C & D pattern was a full proof method?
(a) Yes
(b) No
THE EXPLANATION:
The grading of houses are generally done either in ascending order, where A is at bottom or in descending order where A is at top. But there is an anomaly in this system, especially if more houses of different sizes are yet to be constructed.
Unidirectional (one way expansion) growth pattern:
In A, B, C and D grading system, A is a starting point or dead end. As alphabets are not available prior to A, growth is not assumed prior to A. Alphabets are available only beyond D hence growth is assumed beyond D only. Therefore this type of grading or categorization is unidirectional or one way expandable.
If houses are required to be constructed in sizes smaller than A (in case of ascending order) or bigger than A (in case of descending order) it will not be possible to assign category in same series, therefore unidirectional pattern has the danger of running out of alphabets for new houses and bidirectional pattern would be preferred.
HOUSES NAMED (NUMBERED) FROM BEGINNING OF A SERIES LEAVING NO NUMBERS AT BEGINNING
Bi-directional (two way expansion) growth pattern:
In a bidirectional grading nomenclature (categories), the grading is done with no dead end. For example house categories can be named as J, K, L and M so that plenty of alphabets are made available at either end for future expansion of houses at both end.
However, if houses are required to be constructed in the middle (in- between) of the series, say between K and L we will again run out of alphabets, as no gap is left in-between, therefore a multi-directional pattern would be most suitable to accommodate all possibility of future expansion.
HOUSES NAMED (NUMBERED) FROM MIDDLE OF SEIRES LEAVING NUMBERS AT BOTH ENDS
Multi-expansion growth pattern:
In uni-directional or bi-directional pattern, middle (in-between) expansion is not possible. What would happen if houses are required to be constructed in the middle of series say between J and K? Two things can be done to accommodate middle expansion:
(i) Sufficient gaps can be created in bi-directional series such as D, F, K and P or
(ii) A second series can be added to the first series. Like J(1), J(2), K(1), K(2) and so on.
HOUSES NAMED (NUMBERED) WITH GAPS LEAVING NUMBERS BETWEEN TWO HOUSES
Since more houses are yet to be constructed and also because original plan of construction of new houses may change in terms of size depending on requirement, the nomenclature of the categories of houses (already completed) shall have to be in such a way to accommodate future houses without disturbing the existing series of categories, otherwise we will end up having multiple series with confusing and chaotic house addresses within same locality.
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