333.
In each
question, there are five sentences/paragraphs.
The sentence/paragraph labelled A is in its
correct place.
A. Today complex numbers have such wide
spread practical use - from electrical
engineering to aeronautics - that few people
would expect the story behind their
derivation to be filled with adventure and
enigma. But such is the 2000-year-old
history of one of mathematics' most
elusive numbers, the square root of minus
one, also known as i.
B. By the time of Descartes, a theoretical
use for these elusive square roots - now
called 'imaginary numbers' - was
suspected, but efforts to solve them led
to intense, bitter debates.
C. In the first century, the mathematicianengineer
Heron of Alexandria encountered
i in a separate project, but fudged the
arithmetic; medieval mathematicians
stumbled upon the concept while grappling
with the meaning of negative
numbers, but dismissed their square roots
as nonsense.
D. In 1878, when two brothers stole a mathematical
papyrus from the ancient Egyptian
burial site in the Valley of Kings,
they led scholars to the earliest known
occurrence of the square root of a negative
number. The papyrus offered a specific
numerical example of how to calculate
the volume of a truncated square pyramid,
which implied the need for i.
E. The notorious i finally won acceptance
and was put to use in complex analysis
and theoretical physics in Napoleonic
times.
1) CBDE 2) CBED
3) CDBE 4) DBEC
5) DCBE