Friday, 30 November 2012

Mr. Sherlock Holmes,

CHAPTER IV.

What John Rance Had To Tell

It was one o’clock when we left No. 3, Lauriston
Gardens. Sherlock Holmes led me to the
nearest telegraph office, whence he dispatched a
long telegram. He then hailed a cab, and ordered
the driver to take us to the address given us by
Lestrade.
“There is nothing like first hand evidence,” he
remarked; “as a matter of fact, my mind is entirely
made up upon the case, but still we may as well
learn all that is to be learned.”
“You amaze me, Holmes,” said I. “Surely you
are not as sure as you pretend to be of all those
particulars which you gave.”
“There’s no room for a mistake,” he answered.
“The very first thing which I observed on arriving
there was that a cab had made two ruts with its
wheels close to the curb. Now, up to last night, we
have had no rain for a week, so that those wheels
which left such a deep impression must have been
there during the night. There were the marks of
the horse’s hoofs, too, the outline of one of which
was far more clearly cut than that of the other
three, showing that that was a new shoe. Since
the cab was there after the rain began, and was
not there at any time during the morning—I have
Gregson’s word for that—it follows that it must

have been there during the night, and, therefore,
that it brought those two individuals to the house.”
“That seems simple enough,” said I; “but how
about the other man’s height?”
“Why, the height of a man, in nine cases out
of ten, can be told from the length of his stride.
It is a simple calculation enough, though there is
no use my boring you with figures. I had this fellow’s
stride both on the clay outside and on the
dust within. Then I had a way of checking my calculation.
When a man writes on a wall, his instinct
leads him to write about the level of his own eyes.
Now that writing was just over six feet from the
ground. It was child’s play.”
“And his age?” I asked.
“Well, if a man can stride four and a-half feet
without the smallest effort, he can’t be quite in
the sere and yellow. That was the breadth of a
puddle on the garden walk which he had evidently
walked across. Patent-leather boots had
gone round, and Square-toes had hopped over.
There is no mystery about it at all. I am simply
applying to ordinary life a few of those precepts
of observation and deduction which I advocated
in that article. Is there anything else that puzzles
you?”
“The finger nails and the Trichinopoly,” I suggested.
“The writing on the wall was done with a
man’s forefinger dipped in blood. My glass allowed
me to observe that the plaster was slightly
scratched in doing it, which would not have been
the case if the man’s nail had been trimmed. I
gathered up some scattered ash from the floor. It
was dark in colour and flakey—such an ash as is
only made by a Trichinopoly. I have made a special
study of cigar ashes—in fact, I have written a
monograph upon the subject. I flatter myself that
I can distinguish at a glance the ash of any known
brand, either of cigar or of tobacco. It is just in
such details that the skilled detective differs from
the Gregson and Lestrade type.”
“And the florid face?” I asked.
“Ah, that was a more daring shot, though I
have no doubt that I was right. You must not ask
me that at the present state of the affair.”
I passed my hand over my brow. “My head
is in a whirl,” I remarked; “the more one thinks
of it the more mysterious it grows. How came
these two men—if there were two men—into an
empty house? What has become of the cabman
who drove them? How could one man compel another
to take poison? Where did the blood come
from? What was the object of the murderer, since
robbery had no part in it? How came the woman’s
ring there? Above all, why should the second
man write up the German word RACHE before
decamping? I confess that I cannot see any possible
way of reconciling all these facts.”
My companion smiled approvingly.
“You sum up the difficulties of the situation
succinctly and well,” he said. “There is much that
is still obscure, though I have quite made up my
mind on the main facts. As to poor Lestrade’s discovery
it was simply a blind intended to put the
police upon a wrong track, by suggesting Socialism
and secret societies. It was not done by a German.
The A, if you noticed, was printed somewhat
after the German fashion. Now, a real German invariably
prints in the Latin character, so that we
may safely say that this was not written by one, but
by a clumsy imitator who overdid his part. It was
simply a ruse to divert inquiry into a wrong channel.
I’m not going to tell you much more of the
case, Doctor. You know a conjuror gets no credit
when once he has explained his trick, and if I show
you too much of my method of working, you will
come to the conclusion that I am a very ordinary
individual after all.”
“I shall never do that,” I answered; “you have
brought detection as near an exact science as it ever
will be brought in this world.”
My companion flushed up with pleasure at my
words, and the earnest way in which I uttered
them. I had already observed that he was as sensitive
to flattery on the score of his art as any girl
could be of her beauty.
“I’ll tell you one other thing,” he said. “Patentleathers
and Square-toes came in the same cab,
and they walked down the pathway together as
friendly as possible—arm-in-arm, in all probability.
When they got inside they walked up and
down the room—or rather, Patent-leathers stood
still while Square-toes walked up and down. I
could read all that in the dust; and I could read
that as he walked he grew more and more excited.
That is shown by the increased length of his
strides. He was talking all the while, and working
himself up, no doubt, into a fury. Then the tragedy
occurred. I’ve told you all I know myself now, for
the rest is mere surmise and conjecture. We have
a good working basis, however, on which to start.
We must hurry up, for I want to go to Halle’s concert
to hear Norman Neruda this afternoon.”
This conversation had occurred while our cab
had been threading its way through a long succession
of dingy streets and dreary by-ways. In

the dingiest and dreariest of them our driver suddenly
came to a stand. “That’s Audley Court in
there,” he said, pointing to a narrow slit in the line
of dead-coloured brick. “You’ll find me here when
you come back.”
Audley Court was not an attractive locality.
The narrow passage led us into a quadrangle
paved with flags and lined by sordid dwellings.
We picked our way among groups of dirty children,
and through lines of discoloured linen, until
we came to Number 46, the door of which was
decorated with a small slip of brass on which the
name Rance was engraved. On enquiry we found
that the constable was in bed, and we were shown
into a little front parlour to await his coming.
He appeared presently, looking a little irritable
at being disturbed in his slumbers. “I made my
report at the office,” he said.
Holmes took a half-sovereign from his pocket
and played with it pensively. “We thought that we
should like to hear it all from your own lips,” he
said.
“I shall be most happy to tell you anything I
can,” the constable answered with his eyes upon
the little golden disk.
“Just let us hear it all in your own way as it
occurred.”
Rance sat down on the horsehair sofa, and knitted
his brows as though determined not to omit
anything in his narrative.
“I’ll tell it ye from the beginning,” he said.
“My time is from ten at night to six in the morning.
At eleven there was a fight at the ‘White
Hart’; but bar that all was quiet enough on the
beat. At one o’clock it began to rain, and I met
Harry Murcher—him who has the Holland Grove
beat—and we stood together at the corner of Henrietta
Street a-talkin’. Presently—maybe about two
or a little after—I thought I would take a look
round and see that all was right down the Brixton
Road. It was precious dirty and lonely. Not a
soul did I meet all the way down, though a cab or
two went past me. I was a strollin’ down, thinkin’
between ourselves how uncommon handy a four
of gin hot would be, when suddenly the glint of
a light caught my eye in the window of that same
house. Now, I knew that them two houses in Lauriston
Gardens was empty on account of him that
owns them who won’t have the drains seed to,
though the very last tenant what lived in one of
them died o’ typhoid fever. I was knocked all in a
heap therefore at seeing a light in the window, and
I suspected as something was wrong. When I got
to the door—”
“You stopped, and then walked back to the garden
gate,” my companion interrupted. “What did
you do that for?”
Rance gave a violent jump, and stared at Sherlock
Holmes with the utmost amazement upon his
features.
“Why, that’s true, sir,” he said; “though how
you come to know it, Heaven only knows. Ye see,
when I got up to the door it was so still and so
lonesome, that I thought I’d be none the worse for
some one with me. I ain’t afeared of anything on
this side o’ the grave; but I thought that maybe it
was him that died o’ the typhoid inspecting the
drains what killed him. The thought gave me a
kind o’ turn, and I walked back to the gate to see
if I could see Murcher’s lantern, but there wasn’t
no sign of him nor of anyone else.”
“There was no one in the street?”
“Not a livin’ soul, sir, nor as much as a dog.
Then I pulled myself together and went back and
pushed the door open. All was quiet inside,
so I went into the room where the light was aburnin’.
There was a candle flickerin’ on the mantelpiece—
a red wax one—and by its light I saw—”
“Yes, I know all that you saw. You walked
round the room several times, and you knelt down
by the body, and then you walked through and
tried the kitchen door, and then—”
John Rance sprang to his feet with a frightened
face and suspicion in his eyes. “Where was you
hid to see all that?” he cried. “It seems to me that
you knows a deal more than you should.”
Holmes laughed and threw his card across the
table to the constable. “Don’t get arresting me for
the murder,” he said. “I am one of the hounds and
not the wolf; Mr. Gregson or Mr. Lestrade will answer
for that. Go on, though. What did you do
next?”
Rance resumed his seat, without however losing
his mystified expression. “I went back to
the gate and sounded my whistle. That brought
Murcher and two more to the spot.”
“Was the street empty then?”
“Well, it was, as far as anybody that could be
of any good goes.”
“What do you mean?”
The constable’s features broadened into a grin.
“I’ve seen many a drunk chap in my time,” he said,
“but never anyone so cryin’ drunk as that cove. He
was at the gate when I came out, a-leanin’ up ag’in
the railings, and a-singin’ at the pitch o’ his lungs
about Columbine’s New-fangled Banner, or some
such stuff. He couldn’t stand, far less help.”

“What sort of a man was he?” asked Sherlock
Holmes.
John Rance appeared to be somewhat irritated
at this digression. “He was an uncommon drunk
sort o’ man,” he said. “He’d ha’ found hisself in
the station if we hadn’t been so took up.”
“His face—his dress—didn’t you notice them?”
Holmes broke in impatiently.
“I should think I did notice them, seeing that
I had to prop him up—me and Murcher between
us. He was a long chap, with a red face, the lower
part muffled round—”
“That will do,” cried Holmes. “What became
of him?”
“We’d enough to do without lookin’ after him,”
the policeman said, in an aggrieved voice. “I’ll wager
he found his way home all right.”
“How was he dressed?”
“A brown overcoat.”
“Had he a whip in his hand?”
“A whip—no.”
“He must have left it behind,” muttered my
companion. “You didn’t happen to see or hear a
cab after that?”
“No.”
“There’s a half-sovereign for you,” my companion
said, standing up and taking his hat. “I am
afraid, Rance, that you will never rise in the force.
That head of yours should be for use as well as
ornament. You might have gained your sergeant’s
stripes last night. The man whom you held in your
hands is the man who holds the clue of this mystery,
and whom we are seeking. There is no use of
arguing about it now; I tell you that it is so. Come
along, Doctor.”
We started off for the cab together, leaving our
informant incredulous, but obviously uncomfortable.
“The blundering fool,” Holmes said, bitterly, as
we drove back to our lodgings. “Just to think of his
having such an incomparable bit of good luck, and
not taking advantage of it.”
“I am rather in the dark still. It is true that the
description of this man tallies with your idea of
the second party in this mystery. But why should
he come back to the house after leaving it? That is
not the way of criminals.”
“The ring, man, the ring: that was what he
came back for. If we have no other way of catching
him, we can always bait our line with the ring. I
shall have him, Doctor—I’ll lay you two to one that
I have him. I must thank you for it all. I might
not have gone but for you, and so have missed
the finest study I ever came across: a study in
scarlet, eh? Why shouldn’t we use a little art jargon.
There’s the scarlet thread of murder running
through the colourless skein of life, and our duty is
to unravel it, and isolate it, and expose every inch
of it. And now for lunch, and then for Norman
Neruda. Her attack and her bowing are splendid.
What’s that little thing of Chopin’s she plays so
magnificently: Tra-la-la-lira-lira-lay.”
Leaning back in the cab, this amateur bloodhound
carolled away like a lark while I meditated
upon the many-sidedness of the human mind.

A Study In Scarlet

CHAPTER II.

The Science Of Deduction

We met next day as he had arranged, and inspected
the rooms at No. 221b, Baker Street, of
which he had spoken at our meeting. They consisted
of a couple of comfortable bed-rooms and
a single large airy sitting-room, cheerfully furnished,
and illuminated by two broad windows.
So desirable in every way were the apartments,
and so moderate did the terms seem when divided
between us, that the bargain was concluded upon
the spot, and we at once entered into possession.
That very evening I moved my things round from
the hotel, and on the following morning Sherlock
Holmes followed me with several boxes and portmanteaus.
For a day or two we were busily employed
in unpacking and laying out our property
to the best advantage. That done, we gradually began
to settle down and to accommodate ourselves
to our new surroundings.
Holmes was certainly not a difficult man to live
with. He was quiet in his ways, and his habits
were regular. It was rare for him to be up after ten
at night, and he had invariably breakfasted and
gone out before I rose in the morning. Sometimes
he spent his day at the chemical laboratory, sometimes
in the dissecting-rooms, and occasionally in
long walks, which appeared to take him into the
lowest portions of the City. Nothing could exceed
his energy when the working fit was upon him;
but now and again a reaction would seize him, and
for days on end he would lie upon the sofa in the
sitting-room, hardly uttering a word or moving a
muscle from morning to night. On these occasions
I have noticed such a dreamy, vacant expression in
his eyes, that I might have suspected him of being
addicted to the use of some narcotic, had not the
temperance and cleanliness of his whole life forbidden
such a notion.
As the weeks went by, my interest in him and
my curiosity as to his aims in life, gradually deepened
and increased. His very person and appearance
were such as to strike the attention of the
most casual observer. In height he was rather over
six feet, and so excessively lean that he seemed to
be considerably taller. His eyes were sharp and
piercing, save during those intervals of torpor to
which I have alluded; and his thin, hawk-like nose
gave his whole expression an air of alertness and
decision. His chin, too, had the prominence and
squareness which mark the man of determination.
His hands were invariably blotted with ink and
A Study In Scarlet
stained with chemicals, yet he was possessed of extraordinary
delicacy of touch, as I frequently had
occasion to observe when I watched him manipulating
his fragile philosophical instruments.
The reader may set me down as a hopeless
busybody, when I confess how much this man
stimulated my curiosity, and how often I endeavoured
to break through the reticence which he
showed on all that concerned himself. Before pronouncing
judgment, however, be it remembered,
how objectless was my life, and how little there
was to engage my attention. My health forbade me
from venturing out unless the weather was exceptionally
genial, and I had no friends who would
call upon me and break the monotony of my daily
existence. Under these circumstances, I eagerly
hailed the little mystery which hung around my
companion, and spent much of my time in endeavouring
to unravel it.
He was not studying medicine. He had himself,
in reply to a question, confirmed Stamford’s
opinion upon that point. Neither did he appear to
have pursued any course of reading which might
fit him for a degree in science or any other recognized
portal which would give him an entrance
into the learned world. Yet his zeal for certain
studies was remarkable, and within eccentric limits
his knowledge was so extraordinarily ample
and minute that his observations have fairly astounded
me. Surely no man would work so hard
or attain such precise information unless he had
some definite end in view. Desultory readers are
seldom remarkable for the exactness of their learning.
No man burdens his mind with small matters
unless he has some very good reason for doing so.
His ignorance was as remarkable as his knowledge.
Of contemporary literature, philosophy and
politics he appeared to know next to nothing.
Upon my quoting Thomas Carlyle, he inquired
in the naivest way who he might be and what he
had done. My surprise reached a climax, however,
when I found incidentally that he was ignorant of
the Copernican Theory and of the composition of
the Solar System. That any civilized human being
in this nineteenth century should not be aware that
the earth travelled round the sun appeared to be to
me such an extraordinary fact that I could hardly
realize it.
“You appear to be astonished,” he said, smiling
at my expression of surprise. “Now that I do
know it I shall do my best to forget it.”
“To forget it!”
“You see,” he explained, “I consider that a
man’s brain originally is like a little empty attic,
and you have to stock it with such furniture as
you choose. A fool takes in all the lumber of every
sort that he comes across, so that the knowledge
which might be useful to him gets crowded out, or
at best is jumbled up with a lot of other things so
that he has a difficulty in laying his hands upon it.
Now the skilful workman is very careful indeed as
to what he takes into his brain-attic. He will have
nothing but the tools which may help him in doing
his work, but of these he has a large assortment,
and all in the most perfect order. It is a mistake to
think that that little room has elastic walls and can
distend to any extent. Depend upon it there comes
a time when for every addition of knowledge you
forget something that you knew before. It is of the
highest importance, therefore, not to have useless
facts elbowing out the useful ones.”
“But the Solar System!” I protested.
“What the deuce is it to me?” he interrupted
impatiently; “you say that we go round the sun.
If we went round the moon it would not make a
pennyworth of difference to me or to my work.”
I was on the point of asking him what that
work might be, but something in his manner
showed me that the question would be an unwelcome
one. I pondered over our short conversation,
however, and endeavoured to draw my deductions
from it. He said that he would acquire
no knowledge which did not bear upon his object.
Therefore all the knowledge which he possessed
was such as would be useful to him. I enumerated
in my own mind all the various points upon which
he had shown me that he was exceptionally wellinformed.
I even took a pencil and jotted them
down. I could not help smiling at the document
when I had completed it. It ran in this way—
Sherlock Holmes—his limits.
1. Knowledge of Literature.—Nil.
2. Philosophy.—Nil.
3. Astronomy.—Nil.
4. Politics.—Feeble.
5. Botany.—Variable. Well up in belladonna,
opium, and poisons generally. Knows nothing
of practical gardening.
6. Geology.—Practical, but limited. Tells at a
glance different soils from each other. After
walks has shown me splashes upon his
trousers, and told me by their colour and
consistence in what part of London he had
received them.
7. Chemistry.—Profound.
8. Anatomy.—Accurate, but unsystematic.
11
A Study In Scarlet
9. Sensational Literature.—Immense. He appears
to know every detail of every horror
perpetrated in the century.
10. Plays the violin well.
11. Is an expert singlestick player, boxer, and
swordsman.
12. Has a good practical knowledge of British
law.
When I had got so far in my list I threw it into
the fire in despair. “If I can only find what the
fellow is driving at by reconciling all these accomplishments,
and discovering a calling which needs
them all,” I said to myself, “I may as well give up
the attempt at once.”
I see that I have alluded above to his powers
upon the violin. These were very remarkable,
but as eccentric as all his other accomplishments.
That he could play pieces, and difficult
pieces, I knew well, because at my request he
has played me some of Mendelssohn’s Lieder, and
other favourites. When left to himself, however, he
would seldom produce any music or attempt any
recognized air. Leaning back in his arm-chair of an
evening, he would close his eyes and scrape carelessly
at the fiddle which was thrown across his
knee. Sometimes the chords were sonorous and
melancholy. Occasionally they were fantastic and
cheerful. Clearly they reflected the thoughts which
possessed him, but whether the music aided those
thoughts, or whether the playing was simply the
result of a whim or fancy was more than I could
determine. I might have rebelled against these exasperating
solos had it not been that he usually
terminated them by playing in quick succession a
whole series of my favourite airs as a slight compensation
for the trial upon my patience.
During the first week or so we had no callers,
and I had begun to think that my companion was
as friendless a man as I was myself. Presently,
however, I found that he had many acquaintances,
and those in the most different classes of society.
There was one little sallow rat-faced, dark-eyed fellow
who was introduced to me as Mr. Lestrade,
and who came three or four times in a single
week. One morning a young girl called, fashionably
dressed, and stayed for half an hour or more.
The same afternoon brought a grey-headed, seedy
visitor, looking like a Jew pedlar, who appeared
to me to be much excited, and who was closely
followed by a slipshod elderly woman. On another
occasion an old white-haired gentleman had
an interview with my companion; and on another
a railway porter in his velveteen uniform. When
any of these nondescript individuals put in an appearance,
Sherlock Holmes used to beg for the use
of the sitting-room, and I would retire to my bedroom.
He always apologized to me for putting me
to this inconvenience. “I have to use this room as a
place of business,” he said, “and these people are
my clients.” Again I had an opportunity of asking
him a point blank question, and again my delicacy
prevented me from forcing another man to confide
in me. I imagined at the time that he had some
strong reason for not alluding to it, but he soon
dispelled the idea by coming round to the subject
of his own accord.
It was upon the 4th of March, as I have good
reason to remember, that I rose somewhat earlier
than usual, and found that Sherlock Holmes had
not yet finished his breakfast. The landlady had
become so accustomed to my late habits that my
place had not been laid nor my coffee prepared.
With the unreasonable petulance of mankind I
rang the bell and gave a curt intimation that I was
ready. Then I picked up a magazine from the table
and attempted to while away the time with it,
while my companion munched silently at his toast.
One of the articles had a pencil mark at the heading,
and I naturally began to run my eye through
it.
Its somewhat ambitious title was “The Book of
Life,” and it attempted to show how much an observant
man might learn by an accurate and systematic
examination of all that came in his way.
It struck me as being a remarkable mixture of
shrewdness and of absurdity. The reasoning was
close and intense, but the deductions appeared to
me to be far-fetched and exaggerated. The writer
claimed by a momentary expression, a twitch of a
muscle or a glance of an eye, to fathom a man’s
inmost thoughts. Deceit, according to him, was an
impossibility in the case of one trained to observation
and analysis. His conclusions were as infallible
as so many propositions of Euclid. So startling
would his results appear to the uninitiated that until
they learned the processes by which he had arrived
at them they might well consider him as a
necromancer.
“From a drop of water,” said the writer, “a logician
could infer the possibility of an Atlantic or
a Niagara without having seen or heard of one or
the other. So all life is a great chain, the nature
of which is known whenever we are shown a single
link of it. Like all other arts, the Science of
Deduction and Analysis is one which can only be
acquired by long and patient study nor is life long
enough to allow any mortal to attain the highest
A Study In Scarlet
possible perfection in it. Before turning to those
moral and mental aspects of the matter which
present the greatest difficulties, let the enquirer begin
by mastering more elementary problems. Let
him, on meeting a fellow-mortal, learn at a glance
to distinguish the history of the man, and the trade
or profession to which he belongs. Puerile as such
an exercise may seem, it sharpens the faculties of
observation, and teaches one where to look and
what to look for. By a man’s finger nails, by his
coat-sleeve, by his boot, by his trouser knees, by
the callosities of his forefinger and thumb, by his
expression, by his shirt cuffs—by each of these
things a man’s calling is plainly revealed. That
all united should fail to enlighten the competent
enquirer in any case is almost inconceivable.”
“What ineffable twaddle!” I cried, slapping the
magazine down on the table, “I never read such
rubbish in my life.”
“What is it?” asked Sherlock Holmes.
“Why, this article,” I said, pointing at it with
my egg spoon as I sat down to my breakfast. “I
see that you have read it since you have marked it.
I don’t deny that it is smartly written. It irritates
me though. It is evidently the theory of some armchair
lounger who evolves all these neat little paradoxes
in the seclusion of his own study. It is not
practical. I should like to see him clapped down
in a third class carriage on the Underground, and
asked to give the trades of all his fellow-travellers.
I would lay a thousand to one against him.”
“You would lose your money,” Sherlock
Holmes remarked calmly. “As for the article I
wrote it myself.”
“You!”
“Yes, I have a turn both for observation and for
deduction. The theories which I have expressed
there, and which appear to you to be so chimerical
are really extremely practical—so practical that I
depend upon them for my bread and cheese.”
“And how?” I asked involuntarily.
“Well, I have a trade of my own. I suppose
I am the only one in the world. I’m a consulting
detective, if you can understand what that is.
Here in London we have lots of Government detectives
and lots of private ones. When these fellows
are at fault they come to me, and I manage
to put them on the right scent. They lay all the evidence
before me, and I am generally able, by the
help of my knowledge of the history of crime, to
set them straight. There is a strong family resemblance
about misdeeds, and if you have all the details
of a thousand at your finger ends, it is odd if
you can’t unravel the thousand and first. Lestrade
is a well-known detective. He got himself into a
fog recently over a forgery case, and that was what
brought him here.”
“And these other people?”
“They are mostly sent on by private inquiry
agencies. They are all people who are in trouble
about something, and want a little enlightening. I
listen to their story, they listen to my comments,
and then I pocket my fee.”
“But do you mean to say,” I said, “that without
leaving your room you can unravel some knot
which other men can make nothing of, although
they have seen every detail for themselves?”
“Quite so. I have a kind of intuition that way.
Now and again a case turns up which is a little
more complex. Then I have to bustle about and see
things with my own eyes. You see I have a lot of
special knowledge which I apply to the problem,
and which facilitates matters wonderfully. Those
rules of deduction laid down in that article which
aroused your scorn, are invaluable to me in practical
work. Observation with me is second nature.
You appeared to be surprised when I told
you, on our first meeting, that you had come from
Afghanistan.”
“You were told, no doubt.”
“Nothing of the sort. I knew you came from
Afghanistan. From long habit the train of thoughts
ran so swiftly through my mind, that I arrived at
the conclusion without being conscious of intermediate
steps. There were such steps, however. The
train of reasoning ran, ‘Here is a gentleman of a
medical type, but with the air of a military man.
Clearly an army doctor, then. He has just come
from the tropics, for his face is dark, and that is
not the natural tint of his skin, for his wrists are
fair. He has undergone hardship and sickness, as
his haggard face says clearly. His left arm has been
injured. He holds it in a stiff and unnatural manner.
Where in the tropics could an English army
doctor have seen much hardship and got his arm
wounded? Clearly in Afghanistan.’ The whole
train of thought did not occupy a second. I then remarked
that you came from Afghanistan, and you
were astonished.”
“It is simple enough as you explain it,” I said,
smiling. “You remind me of Edgar Allen Poe’s
Dupin. I had no idea that such individuals did
exist outside of stories.”
Sherlock Holmes rose and lit his pipe. “No
doubt you think that you are complimenting me
in comparing me to Dupin,” he observed. “Now,
A Study In Scarlet
in my opinion, Dupin was a very inferior fellow.
That trick of his of breaking in on his friends’
thoughts with an apropos remark after a quarter of
an hour’s silence is really very showy and superficial.
He had some analytical genius, no doubt; but
he was by no means such a phenomenon as Poe
appeared to imagine.”
“Have you read Gaboriau’s works?” I asked.
“Does Lecoq come up to your idea of a detective?”
Sherlock Holmes sniffed sardonically. “Lecoq
was a miserable bungler,” he said, in an angry
voice; “he had only one thing to recommend him,
and that was his energy. That book made me positively
ill. The question was how to identify an
unknown prisoner. I could have done it in twentyfour
hours. Lecoq took six months or so. It might
be made a text-book for detectives to teach them
what to avoid.”
I felt rather indignant at having two characters
whom I had admired treated in this cavalier style.
I walked over to the window, and stood looking
out into the busy street. “This fellow may be very
clever,” I said to myself, “but he is certainly very
conceited.”
“There are no crimes and no criminals in these
days,” he said, querulously. “What is the use of
having brains in our profession? I know well that
I have it in me to make my name famous. No
man lives or has ever lived who has brought the
same amount of study and of natural talent to
the detection of crime which I have done. And
what is the result? There is no crime to detect, or,
at most, some bungling villany with a motive so
transparent that even a Scotland Yard official can
see through it.”
I was still annoyed at his bumptious style of
conversation. I thought it best to change the topic.
“I wonder what that fellow is looking for?” I
asked, pointing to a stalwart, plainly-dressed individual
who was walking slowly down the other
side of the street, looking anxiously at the numbers.
He had a large blue envelope in his hand,
and was evidently the bearer of a message.
“You mean the retired sergeant of Marines,”
said Sherlock Holmes.
“Brag and bounce!” thought I to myself. “He
knows that I cannot verify his guess.”
The thought had hardly passed through my
mind when the man whom we were watching
caught sight of the number on our door, and ran
rapidly across the roadway. We heard a loud
knock, a deep voice below, and heavy steps ascending
the stair.
“For Mr. Sherlock Holmes,” he said, stepping
into the room and handing my friend the letter.
Here was an opportunity of taking the conceit
out of him. He little thought of this when he made
that random shot. “May I ask, my lad,” I said, in
the blandest voice, “what your trade may be?”
“Commissionaire, sir,” he said, gruffly. “Uniform
away for repairs.”
“And you were?” I asked, with a slightly malicious
glance at my companion.
“A sergeant, sir, Royal Marine Light Infantry,
sir. No answer? Right, sir.”
He clicked his heels together, raised his hand
in a salute, and was gone.

A Study In Scarlet


Mr. Sherlock Holmes

 

CHAPTER I.

In the year 1878 I took my degree of
Doctor of Medicine of the University of
London, and proceeded to Netley to go
through the course prescribed for surgeons
in the army. Having completed my studies
there, I was duly attached to the Fifth Northumberland
Fusiliers as Assistant Surgeon. The regiment
was stationed in India at the time, and before
I could join it, the second Afghan war had broken
out. On landing at Bombay, I learned that my
corps had advanced through the passes, and was
already deep in the enemy’s country. I followed,
however, with many other officers who were in the
same situation as myself, and succeeded in reaching
Candahar in safety, where I found my regiment,
and at once entered upon my new duties.
The campaign brought honours and promotion
to many, but for me it had nothing but misfortune
and disaster. I was removed from my brigade and
attached to the Berkshires, with whom I served at
the fatal battle of Maiwand. There I was struck
on the shoulder by a Jezail bullet, which shattered
the bone and grazed the subclavian artery.
I should have fallen into the hands of the murderous
Ghazis had it not been for the devotion and
courage shown by Murray, my orderly, who threw
me across a pack-horse, and succeeded in bringing
me safely to the British lines.
Worn with pain, and weak from the prolonged
hardships which I had undergone, I was removed,
with a great train of wounded sufferers, to the base
hospital at Peshawar. Here I rallied, and had already
improved so far as to be able to walk about
the wards, and even to bask a little upon the verandah,
when I was struck down by enteric fever,
that curse of our Indian possessions. For months
my life was despaired of, and when at last I came
to myself and became convalescent, I was so weak
and emaciated that a medical board determined
that not a day should be lost in sending me back
to England. I was dispatched, accordingly, in the
troopship Orontes, and landed a month later on
Portsmouth jetty, with my health irretrievably ruined,
but with permission from a paternal government
to spend the next nine months in attempting
to improve it.
I had neither kith nor kin in England, and was
therefore as free as air—or as free as an income
of eleven shillings and sixpence a day will permit
a man to be. Under such circumstances, I naturally
gravitated to London, that great cesspool into

which all the loungers and idlers of the Empire are
irresistibly drained. There I stayed for some time
at a private hotel in the Strand, leading a comfortless,
meaningless existence, and spending such
money as I had, considerably more freely than I
ought. So alarming did the state of my finances
become, that I soon realized that I must either
leave the metropolis and rusticate somewhere in
the country, or that I must make a complete alteration
in my style of living. Choosing the latter alternative,
I began by making up my mind to leave
the hotel, and to take up my quarters in some less
pretentious and less expensive domicile.
On the very day that I had come to this conclusion,
I was standing at the Criterion Bar, when
some one tapped me on the shoulder, and turning
round I recognized young Stamford, who had
been a dresser under me at Bart’s. The sight of a
friendly face in the great wilderness of London is
a pleasant thing indeed to a lonely man. In old
days Stamford had never been a particular crony
of mine, but now I hailed him with enthusiasm,
and he, in his turn, appeared to be delighted to
see me. In the exuberance of my joy, I asked him
to lunch with me at the Holborn, and we started
off together in a hansom.
“Whatever have you been doing with yourself,
Watson?” he asked in undisguised wonder, as we
rattled through the crowded London streets. “You
are as thin as a lath and as brown as a nut.”
I gave him a short sketch of my adventures,
and had hardly concluded it by the time that we
reached our destination.
“Poor devil!” he said, commiseratingly, after he
had listened to my misfortunes. “What are you up
to now?”
“Looking for lodgings,” I answered. “Trying to
solve the problem as to whether it is possible to
get comfortable rooms at a reasonable price.”
“That’s a strange thing,” remarked my companion;
“you are the second man to-day that has
used that expression to me.”
“And who was the first?” I asked.
“A fellow who is working at the chemical laboratory
up at the hospital. He was bemoaning himself
this morning because he could not get someone
to go halves with him in some nice rooms
which he had found, and which were too much
for his purse.”
“By Jove!” I cried, “if he really wants someone
to share the rooms and the expense, I am the very

man for him. I should prefer having a partner to
being alone.”
Young Stamford looked rather strangely at me
over his wine-glass. “You don’t know Sherlock
Holmes yet,” he said; “perhaps you would not care
for him as a constant companion.”
“Why, what is there against him?”
“Oh, I didn’t say there was anything against
him. He is a little queer in his ideas—an enthusiast
in some branches of science. As far as I know
he is a decent fellow enough.”
“A medical student, I suppose?” said I.
“No—I have no idea what he intends to go in
for. I believe he is well up in anatomy, and he is a
first-class chemist; but, as far as I know, he has
never taken out any systematic medical classes.
His studies are very desultory and eccentric, but
he has amassed a lot of out-of-the way knowledge
which would astonish his professors.”
“Did you never ask him what he was going in
for?” I asked.
“No; he is not a man that it is easy to draw out,
though he can be communicative enough when the
fancy seizes him.”
“I should like to meet him,” I said. “If I am to
lodge with anyone, I should prefer a man of studious
and quiet habits. I am not strong enough yet
to stand much noise or excitement. I had enough
of both in Afghanistan to last me for the remainder
of my natural existence. How could I meet this
friend of yours?”
“He is sure to be at the laboratory,” returned
my companion. “He either avoids the place for
weeks, or else he works there from morning to
night. If you like, we shall drive round together
after luncheon.”
“Certainly,” I answered, and the conversation
drifted away into other channels.
As we made our way to the hospital after leaving
the Holborn, Stamford gave me a few more
particulars about the gentleman whom I proposed
to take as a fellow-lodger.
“You mustn’t blame me if you don’t get on with
him,” he said; “I know nothing more of him than
I have learned from meeting him occasionally in
the laboratory. You proposed this arrangement, so
you must not hold me responsible.”
“If we don’t get on it will be easy to part company,”
I answered. “It seems to me, Stamford,” I
added, looking hard at my companion, “that you
have some reason for washing your hands of the

matter. Is this fellow’s temper so formidable, or
what is it? Don’t be mealy-mouthed about it.”
“It is not easy to express the inexpressible,”
he answered with a laugh. “Holmes is a little
too scientific for my tastes—it approaches to coldbloodedness.
I could imagine his giving a friend a
little pinch of the latest vegetable alkaloid, not out
of malevolence, you understand, but simply out
of a spirit of inquiry in order to have an accurate
idea of the effects. To do him justice, I think that
he would take it himself with the same readiness.
He appears to have a passion for definite and exact
knowledge.”
“Very right too.”
“Yes, but it may be pushed to excess. When
it comes to beating the subjects in the dissectingrooms
with a stick, it is certainly taking rather a
bizarre shape.”
“Beating the subjects!”
“Yes, to verify how far bruises may be produced
after death. I saw him at it with my own
eyes.”
“And yet you say he is not a medical student?”
“No. Heaven knows what the objects of his
studies are. But here we are, and you must
form your own impressions about him.” As he
spoke, we turned down a narrow lane and passed
through a small side-door, which opened into a
wing of the great hospital. It was familiar ground
to me, and I needed no guiding as we ascended the
bleak stone staircase and made our way down the
long corridor with its vista of whitewashed wall
and dun-coloured doors. Near the further end a
low arched passage branched away from it and led
to the chemical laboratory.
This was a lofty chamber, lined and littered
with countless bottles. Broad, low tables were scattered
about, which bristled with retorts, test-tubes,
and little Bunsen lamps, with their blue flickering
flames. There was only one student in the room,
who was bending over a distant table absorbed in
his work. At the sound of our steps he glanced
round and sprang to his feet with a cry of pleasure.
“I’ve found it! I’ve found it,” he shouted to my
companion, running towards us with a test-tube in
his hand. “I have found a re-agent which is precipitated
by hoemoglobin, and by nothing else.” Had
he discovered a gold mine, greater delight could
not have shone upon his features.
“Dr. Watson, Mr. Sherlock Holmes,” said Stamford,
introducing us.
“How are you?” he said cordially, gripping
my hand with a strength for which I should

hardly have given him credit. “You have been in
Afghanistan, I perceive.”
“How on earth did you know that?” I asked in
astonishment.
“Never mind,” said he, chuckling to himself.
“The question now is about hoemoglobin. No
doubt you see the significance of this discovery of
mine?”
“It is interesting, chemically, no doubt,” I answered,
“but practically—”
“Why, man, it is the most practical medicolegal
discovery for years. Don’t you see that it
gives us an infallible test for blood stains. Come
over here now!” He seized me by the coat-sleeve
in his eagerness, and drew me over to the table at
which he had been working. “Let us have some
fresh blood,” he said, digging a long bodkin into
his finger, and drawing off the resulting drop of
blood in a chemical pipette. “Now, I add this small
quantity of blood to a litre of water. You perceive
that the resulting mixture has the appearance of
pure water. The proportion of blood cannot be
more than one in a million. I have no doubt, however,
that we shall be able to obtain the characteristic
reaction.” As he spoke, he threw into the vessel
a few white crystals, and then added some drops
of a transparent fluid. In an instant the contents
assumed a dull mahogany colour, and a brownish
dust was precipitated to the bottom of the glass jar.
“Ha! ha!” he cried, clapping his hands, and
looking as delighted as a child with a new toy.
“What do you think of that?”
“It seems to be a very delicate test,” I remarked.
“Beautiful! beautiful! The old Guiacum test
was very clumsy and uncertain. So is the microscopic
examination for blood corpuscles. The latter
is valueless if the stains are a few hours old.
Now, this appears to act as well whether the blood
is old or new. Had this test been invented, there
are hundreds of men now walking the earth who
would long ago have paid the penalty of their
crimes.”
“Indeed!” I murmured.
“Criminal cases are continually hinging upon
that one point. A man is suspected of a crime
months perhaps after it has been committed. His
linen or clothes are examined, and brownish stains
discovered upon them. Are they blood stains, or
mud stains, or rust stains, or fruit stains, or what
are they? That is a question which has puzzled
many an expert, and why? Because there was no
reliable test. Now we have the Sherlock Holmes’
test, and there will no longer be any difficulty.”

His eyes fairly glittered as he spoke, and he put
his hand over his heart and bowed as if to some applauding
crowd conjured up by his imagination.
“You are to be congratulated,” I remarked, considerably
surprised at his enthusiasm.
“There was the case of Von Bischoff at Frankfort
last year. He would certainly have been hung
had this test been in existence. Then there was
Mason of Bradford, and the notorious Muller, and
Lefevre of Montpellier, and Samson of new Orleans.
I could name a score of cases in which it
would have been decisive.”
“You seem to be a walking calendar of crime,”
said Stamford with a laugh. “You might start a paper
on those lines. Call it the ‘Police News of the
Past.’ ”
“Very interesting reading it might be made,
too,” remarked Sherlock Holmes, sticking a small
piece of plaster over the prick on his finger. “I have
to be careful,” he continued, turning to me with a
smile, “for I dabble with poisons a good deal.” He
held out his hand as he spoke, and I noticed that it
was all mottled over with similar pieces of plaster,
and discoloured with strong acids.
“We came here on business,” said Stamford, sitting
down on a high three-legged stool, and pushing
another one in my direction with his foot. “My
friend here wants to take diggings, and as you
were complaining that you could get no one to go
halves with you, I thought that I had better bring
you together.”
Sherlock Holmes seemed delighted at the idea
of sharing his rooms with me. “I have my eye on a
suite in Baker Street,” he said, “which would suit
us down to the ground. You don’t mind the smell
of strong tobacco, I hope?”
“I always smoke ‘ship’s’ myself,” I answered.
“That’s good enough. I generally have chemicals
about, and occasionally do experiments.
Would that annoy you?”
“By no means.”
“Let me see—what are my other shortcomings.
I get in the dumps at times, and don’t open my
mouth for days on end. You must not think I am
sulky when I do that. Just let me alone, and I’ll
soon be right. What have you to confess now? It’s
just as well for two fellows to know the worst of
one another before they begin to live together.”
I laughed at this cross-examination. “I keep a
bull pup,” I said, “and I object to rows because
my nerves are shaken, and I get up at all sorts of
ungodly hours, and I am extremely lazy. I have
another set of vices when I’m well, but those are
the principal ones at present.”

“Do you include violin-playing in your category
of rows?” he asked, anxiously.
“It depends on the player,” I answered. “A
well-played violin is a treat for the gods—a badlyplayed
one—”
“Oh, that’s all right,” he cried, with a merry
laugh. “I think we may consider the thing as settled—
that is, if the rooms are agreeable to you.”
“When shall we see them?”
“Call for me here at noon to-morrow, and we’ll
go together and settle everything,” he answered.
“All right—noon exactly,” said I, shaking his
hand.
We left him working among his chemicals, and
we walked together towards my hotel.
“By the way,” I asked suddenly, stopping and
turning upon Stamford, “how the deuce did he
know that I had come from Afghanistan?”

My companion smiled an enigmatical smile.
“That’s just his little peculiarity,” he said. “A good
many people have wanted to know how he finds
things out.”
“Oh! a mystery is it?” I cried, rubbing my
hands. “This is very piquant. I am much obliged
to you for bringing us together. ‘The proper study
of mankind is man,’ you know.”
“You must study him, then,” Stamford said, as
he bade me good-bye. “You’ll find him a knotty
problem, though. I’ll wager he learns more about
you than you about him. Good-bye.”
“Good-bye,” I answered, and strolled on to my
hotel, considerably interested in my new acquaintance.

BCA 205 Fundamentals of Digital Systems Model Question Paper (2007 Admission onwards)mg university


Time : 3 hrs Max Marks : 75

                                         Part A

                           Answer any ten questions.

1. Explain the concept of base of a number system. Give examples. What is the significance of binary number system in designing computer memory?
2. Explain the significance of complements in binary number system. Distinguish between 1’s complement and 2’s complement.
3. State and prove De-Morgan’s theorem.
4. Write short note on BCD number system using the principle of BCD addition, perform 26 + 37
5. Write short note on the concept of universal gates. Why NAND gate is called a universal gate/
6. Write short note on the Min terms and Max terms. What do you mean by SOP and POS?
7. What is a flip flop? Why flip flops are considered to be the building block of computer memory?
8. With the help of a neat diagram, explain the working of an RS flip flop.
9. Explain the concept of half adders, explain the need for full adder.
10. What is a register? Explain different methods of data input to registers.
11. Compare and contradict synchronous and asynchronous counters.
12. Explain the concept of parity in data transfer. (3x 10 = 30 marks)

Part B

Answer All Questions

13. Convert the following (327.30)10 = ( )2 = ( )8 = ( )16
OR
14. Using the principle of 1’s or 2’s complement perform
(i) (63)10 – (27)10
(ii) (36)10 – (68)10
(iii) (101101)2 – (10101)2
15 Simplify using K- map (i) Y = Σ (0,3,7,9,11,13)
m
(ii) Y = Σ (1,3,6,7,9,15) + Σ (2,8,12)
m d
OR
16. (i) State and prove distributive property of Boolean Algebra.
(ii) Draw the circuit diagram of XOR gates. How it is implemented using
NAND gates?
(iii) Explain the significance of duality theorem.
17. Explain the working of JK flip flops with a neat diagram. Explain its advantage over RS flip flop.
OR
18. (i) Write short notes on encoders and decoders.
(ii) Explain the working principle of multiplexers.
19. (i) Explain the need for registers. Explain the significance of MAR and MDR
in data storage.
(ii) Explain the organization of RAM by taking 64 K 8 bit system as an
example.
OR
20. (i) What are the important classification of read only memories?
(ii) Compare and contradict the working of SRAM and DRAM.
21. Explain the need for data transfer. What are the possible errors in data transfer? How hamming codes are useful in detection of errors in data transfer?
OR
22. What do you mean by A to D and D to A converters? Explain A to D converters
in detail with the help of a neat diagram
( 5x 9 =45 marks

BCA 204 DATA STRUCTURES Model Question Paper (2007 Admission onwards)mg university


Time : 3 hrs Marks: 75

                                     Part A

                    (Answer any 10 Questions)

1. Define data structures
2. What is the complexity of algorithms?
3. What is a sparse matrix?
4. What is the use of stack in real life?
5. What is a dequeue?
6. What is garbage collection?
7. Explain dynamic data structures.
8. What is Binary Tree? Explain with example.
9. Explain inverted files
10. Explain tree traversal.
11. Explain Multi stacks
12. What is compaction? 10*3=30 marks

                           Part B

              (Answer all questions)

13. a)What is an array? What is Bubble sort? Explain with example
or
b)Explain Binary search and Linear Search
14. a)What is a Stack? Explain the algorithm to create and delete items in stacks.
or
b)What is a queue? Explain the algorithm to create and delete items in queue
15. a)What is linked list? Explain insertion and deletion of items in linked list using pointers.
or
b)Explain circular linked list with example
16. a)What is a tree? Explain the various traversing methods in trees
or
b)What is multi threaded binary trees? Explain with example.
17 a)Explain various file organizations
or
b)What is Linked file organization? Explain inverted files and hashing.
5*9=45 marks

BCA 203 ACCOUNTING AND BUSINESS DATA PROCESSING IN COBOL Model Question Paper of mg university (2007 Admission onwards)


Time : 3 hrs Marks: 75

                                       Part A

                       (Answer any 10 Questions)

1. What are the different functions and objectives of accounting?.
2. What are the different types of account and explain the rule for debit and credit.
3. Distinguish between trial balance and balance sheet
4. What is a cash book?.
5. Explain Bank Reconciliation statement.
6. What are literals?.
7. Discuss the ON SIZE ERROR option
8. Explain the rule associated with MOVE statements in COBOL
9. What is meant by picture clause?.
10. Explain COMPUTE verb.
11. Discuss RENAMES clause with example
12. Explain GO TO DEPENDING ON clause in COBOL (10x3 = 30 marks)

                                  PART B

                    (Answer all Questions)

13. What are the different subsidiary books?. Explain Each. (9 marks)
OR
14. From the following transactions, prepare the journal, post them into
ledger accounts and balance the accounts. (9 marks)
2008 Dec 1 Raju started business with capital Rs.25000/-
2 Purchased furniture for Rs. 2500/-
3. Bought goods on credit from Mr.Venu for Rs.4000/-
14. Sold goods to Mr.Sunil for Rs 2500/-
15. Received Cash from Sunil Rs. 1500/-
18. Purchased goods for cash Rs 6000/-
27. Goods Sold for cash Rs. 4000/-
28. Rent Paid Rs. 600/-
31. Paid Mr.Venu Rs 1500/- on account
15. From the following trial balance of Mr.Agarwal as on 31st December 2003
Prepare Final Accounts.
Particulars Debit Credit
Buildings 5000
Plant and Machinery 10,000
Capital 45,000
House-hold Expense 5000
Purchases 80,000
Cash at bank 10,000
Sales 1,05,000
Return 10,000 8,000
Stock 16,000
Salaries 2,000
Rent 800
Taxes and Insurance 400
Customers and Suppliers a/c 15,200 12,000
Bills Receivable and Payable 4,800 3,000
Commission received 600
Interest received 200
Investments 6,000
Carriage 2,000
Printing and Stationary 1,000
Advertisement 600
Cash in hand 5,000
________ ________
1,73,800 1,73,800
======= =======
Adjustments
a) Closing Stock valued at Rs.25, 000
b) Depreciate Plant and Machinery at 5% and building at 3%
c) Outstanding liabilities where salary Rs.400 and Rent Rs.300
d) Insurance Prepaid to the extend of Rs.150
e) Make a Provision for doubtful debts at 5%
f) Write off Rs.300 as bad debts. (9 marks)
OR
16. Prepare a Cash Book from the following:-
01-05-2007 Opening Balance 36,000
02-05-2007 Paid to petty cashier 5,000
03-05-2007 Sold Goods for cash 3,500
03-05-2007 Paid to Arun 7,500
05-05-2002 Received cash from Robert 9,000
08-05-2007 Received cheque from javed 12,000
10-05-2007 Purchased goods for cash 5,000
10-05-2007 Paid rent by cheque 5,000
15-05-2007 Sold goods for cash 7,500
16-05-2007 Purchased stationary for cash 2,000
18-05-2007 Sold Goods for cash 13,500
19-05-2007 Withdrew cash for personal use 3,000
25-05-2007 Paid Salaries 18,000 (9 marks)
17. Explain the structure of a COBOL program ( 9 marks)
OR
18. a) What are figurative constants. Explain with examples (5 marks)
b) Write a COBOL program to calculate the Simple Interest using the formula Simple
Interest = Principal Amount * No or Year * Rate of Interest (4 marks)
19 Explain the arithmetic verbs in COBOL. (9 marks)
OR
20 An institution decided to increase the pay of employees as follows.
For pay <= Rs.5000 , 15% increase
Pay <=1500, 10% increase
Pay >1500, No increase
Write a COBOL program which accept, employee no, name and Basic Pay and to
display the increased pay as per the above rule. (9 marks)
21. Describe SORT and MERGE verbs in COBOL with syntax and examples.(9 marks)
OR
22. An inventory file consists of following details: Item code, description, quantity on
hand and price. Write a COBOL program to print a Reorder report contains details of
item in which quantity on hand is less than 400 units. (9 marks

Second semester BCA Degree Examination 202 DISCRETE MATHEMATICS Model Question Paper (2007 Admission onwards)mg university


Time: 3Hrs Maximum marks:75

                                     PART A

                      Answer any Ten questions

1.Define a partial order relation with an example
2.Prove that the union of transitive relation is not transitive.
3.State the principle of mathematical induction
4.Write inclusion and exclusion principle for 2 sets and for three sets
5. State the first five laws of Boolean algebra
6.State the Demorgan’s laws for the propositions.
7.Write the two classic rules of inference in propositional calculus
8. Define the quantifiers used in predicate calculus with examples.
9 Define with example (a) spanning tree (b) planar graphs
10.What is the principle of optimality.
11.What are the different types of tree searching ?
12.Prove that the graph K 3,3 is not coplanar.
(3*10=30 marks)

                                   PART B

                      (Answer all Questions)

13(a)Define a relation R on N by x R y = (x-y) is divisible by 5. Prove that R is an
Equivalence relation (5 marks)
(b)Let the functions f and g be defined by f(x)=2x+1 and g(x)=x2-2.
Compute fog and gof (4 marks)
OR
14.Explain the Hamming codes. (9 marks)
15(a)Find the number of ways that 12 students can be partitioned into three teams ,so that
each team contains four students? (4 marks)
(b)In how many ways ,a party of 4 or more can be selected from 10 persons?
(5 marks)
OR
16(a)5 men and 4 women are to be seated in a row. Find the number of arrangements if
no two women are to sit next to each other (4 marks)
(b)Prove that nCr-1 + nCr. = (n+1)Cr (5 marks)
17(a)Check whether ( P→ Q )→(( P v R )→(Q v R ) is a tautology or not (5 marks)
 (b)Explain reductio ad absurdum method with an example (4 marks)
OR
18(a) Show that R→S can be derived from premises P→ (Q→ S)., ┐(RvP) and Q
(5marks)
(b) Construct the truth table for ( (p → q ) ٨ ( q → r ) ) →( p → r) (4marks)
19(a)Explain the rules for converting predicate calculus (6 marks)
(b)Express the statement in symbolic form
“If all men are giants then everything is a man only if everything is a giant (3marks)
OR
20(a) Explain the resolution principle in predicate calculus (5 marks)
(b)Prove that ( ב x ) P(x) ٨ ( ב x ) Q(x) will not imply ( ٧x)( P(x) ٨ Q(x) ) (4marks)
21 (a) State and prove Euler’s theorem for Euler cycles (9 marks)
OR
22. Explain Warshall’s algorithm and Floyd’s algorithm (9 marks)

First Semester BCA Degree Examinations BCA 105 Problem Solving and Programming in C (2007 Admission onwards)mg university


Time : 3 hrs Marks: 75

                                      PART A

(Answer any Ten questions, Each question carries 3 marks)

1. Describe the features of a good computer program.
2. What is meant by type casting?. Explain.
3. List out the precedence of arithmetic, relational and logical operators.
4. Distinguish between do ..while and while statement
5. What will be the value of k,y,z(all integer variables) after executing the following statements (i) y+=(--y)x2/k++ (2) (k>2)?,y+=k++,z-=k-- on the assumption that the initial value of k=2,y=3,z=1
6. Explain how an array differs from a structure
7. Briefly explain any three string functions available in string.h
8. What is a user defined function?. What advantages it offers in programming.
9. Write a function to swap the content of two memory locations using pointers.
10. Explain with an example the use of enum data type in C programming.
11. Discuss the working of a C program using command line arguments.
12. Explain preprocessor directive statements.

                                        PART B

( Answer all questions, Each question carries 9 marks)

13. Distinguish algorithm and flowchart. Write an algorithm and draw a flowchart to find the number of negative numbers, zeros and positive numbers from a list of n given numbers.
OR
14. Write short note on the following
i) Structured programming
ii) Top-down programming approach
iii) Bottom-up programming approach
15. Explain in detail the fundamental data types in terms of key word, size
in bytes, range of number it can occupy and format specifier etc
OR
16. What is a mixed mode expression?. Explain how it will be evaluated with
an example program illustrating truncation effect.
17.Write a program to sort an array of integers in ascending order and to
print the position of an integer in the sorted sequence.
OR
18. Write a program to manipulate a string in the following way
i) To count no of words on the assumption that a blank space separate two words.
ii) No of times a given alphabet occurs.
iii) Replace the first letter of all words in upper case
19. Explain the concept of array of structure. With an example illustrate the passing of a structure variable into a function.
OR
20. What is a recursive function?. Write a recursive function to find the nth
power of a number. Using this function write a program to sum the series
1 + x+x2+x3+………….for the first 20 terms.
21. Discuss the advantages of using pointers in programming. Explain pointer
arithmetic and how an array can be referenced using a pointer to the array.
OR
22. Explain any three file manipulation functions in C language.

First Semester BCA Degree Examinations BCA 104 Introduction to Computers (2007 Admission onwards)mg university


Time : 3 hrs Maximum : 75 marks

                                            PART A

(Answer any Ten questions, Each question carries 3 marks)

1. Distinguish between hardware and software.
2. List out advantages of high level languages.
3. Why ROM is necessary for a computer system ?
4. What is OCR ?
5. What is meant by refresh rate of a monitor ?
6. What is the difference between impact and non impact printers ?
7. What is meant by an instruction cycle ?
8. What is a Cache Memory ?
9. What is booting ?
10. What is formatting ?
11. Define an operating system
12. What are Computer Viruses ?

                                      PART B

( Answer all questions, Each question carries 9 marks)

13. With a neat sketch explain the various parts of a Computer System ?
OR
14. Explain the advantages and disadvantages of different categories of Computer Languages.
15. Explain various optical input devices
OR
16. Explain the various factors that affect the display of a monitor.
17. Explain the different types of character representation schemes used in computer
OR
18. Discuss the various factors affecting the processing speed of a computer system
19. Explain how does OS find data on a disk
OR
20. Explain how data is written into and read from a CD – ROM
 21. Explain the major uses of interest
OR
22. Discuss the threats to hardware and data in a computer system

First Semester BCA Degree Examinations BCA 103 PROBABILITY &STATISTICS (2007 Admission onwards)mg university


Time : 3 hrs Marks: 75

                                             PART A

(Answer any Ten questions, Each question carries 3 marks) )

1. What is primary data?
2. Define Simple Random Sampling.
3. Define Pie-Diagram.
4. What is Coefficient of variation.
5. Define random experiment.
6. What is conditional Probability.
7. Define correlation.
8. What is regression Coefficient.
9. What is trend.
10. Define seasonal variation.
11. Define Median
12. What is Histogram

                                        PART B

( Answer all questions, Each question carries 9 marks)

13. Explain different methods of sampling
OR
14. What are the different methods of collecting data?
15. Draw ogive for the following data
Class: 0-10 10-20 20-30 30-40 40-50
Frequency: 5 7 13 8 3
OR
16. Find Mean, Median and Mode
Class: 0-9 10-19 20-29 30-39
Frequency: 5 10 15 5
17. State & Prove Bayes theorem
OR
18. A problem in statistics is given to 3 students Their chances of solving this
problem are 1/3,2/3, 1/3 respectively what is the probability that the problem
will be solved.
19. Find rank, Correlation Coefficient
X : 22 25 18 25 26 22
Y :28 29 25 28 29 30
OR
20. Find regression lines
X: 1 3 5 7 9
Y: 2 4 6 8 10
21. Explain different components of time series
OR
22. Find trend line equation & trend values
Year: 1990 91 92 93 94 95
Values: 50 52 48 55 57 60

First Semester BCA Degree Examination BCA 102 Mathematics (2007 Admission onwards) mg university

Time : 3 hrs Marks: 7

                                                Part               

     (Answer any TEN questions, each question carries 3 marks)

1. Define a)conjugate of a matrix b) hermitian matrix
2. Prove that 1+a 1 1
1 1+b 1 = abc(1+1/a +1/b+1/c)
1 1 1+c
3. What is a singular matrix ? Give an example.
4. Derive the partial differential equation
z = ( x + a )( y + b)
5. Find d 2 y / d x2 when x=a(t-sint) , y=a(1+cost)
6. Differentiate e tan¯ 1 x with respect to cos ¯ ¹x
7. If y=a cos(logx)+b sin (logx), prove that x2 y2+x y1+y =0
8. State the Drichlet’s conditions of the Fourier series
9. Find the Laplaces transform of sin 2 3t
10. State the convolution theorem
11. Let A= 1 2 and f(x) = x2 – 3x+4 Find f(A)
2 2
12. If L{f(t)}= f(s), then prove that L{eatf(t) }=f(s-a)

                                             PART B

                                  ( Answer all questions )

13. Examine whether the following system of equations are consistent, if so, solve
2x – y + 2z =8 , 3x + 2y - 2z = -1 , 5x + 3y - 3z = 3 (9 marks)
OR
5 3 3
14. Find A-1 where A = 2 6 -3 and hence solve the equations
8 -3 -2
5x+3y + 3z = 48 ,2x + 6y -3z = 18 ,8x -3y – 2z = 21 (9 marks)
15. (a) Find the nth derivative log(9x2-4) (4 marks)
(b) If y=sin-1x, prove that (1-x2) y n+2 – (2n+1)xy n+1 – n2yn=0 (5 marks)
OR
16. (a) Find the nth derivative of (10x-21)/(2x-3)(2x+5) (4 marks)
(b) If y=[x+√(1+x2)]m, prove that (1+x2)y n+2+(2n+1)xy n+1+(n2-m2)yn=0
(5 marks)
17. Solve (a) ( x 2 - y 2-z 2)p+2xyz =2xz
(b) p tanx+q tany = tant (9marks)
OR
18. a)Form the partial differentiate equation
z = f (xy/z) (4 marks)
b)Solve ( y + z )p+(z+x)q = x+y (5 marks)
19. Find a fourier series to represent x – x 2 from x = - Π to x = Π (9 marks)
OR
20. Explain f(x) = x sinx, 0 < x < 2Π ,as a fourier series (9 marks)
21. (a) Find the Laplace transform of (1-et )/t (4 marks)
(b) Find the Inverse laplace transform of s/(s+a) 2 (5 marks)
OR
22. Using convolution theorem, find the inverse Laplace Transforms
( a )1/s (s2+4) (b) s2 / (s 2+ 4)2 (9 marks)