ipjugaad bca 3rd sem mathematics paper 2012
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7/23/2019 Ipjugaad BCA 3rd Sem Mathematics Paper 2012
http://slidepdf.com/reader/full/ipjugaad-bca-3rd-sem-mathematics-paper-2012 1/2
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4x,
+
6x,
..za,.,
6x,
+
5x,
2150,
r,,
+
5x,
>
130,
xr,xr'I.
-'-
I-
t (Zl
(b)
Use
Simplex
Method
to
solve the
foliowing
L.P.P.:-
*
Maxz=4xr+l1xz,
?n,
b
subject
to
Lxr*x2150,Zxr+Sxr<100,
2x, +3xr<90,
x,
>0
and
x,
>0'
(8|
Q2
{a)
Solve
the following
L.P.P.;- l8l
Max
z=5xr-4xz+3x., #
subject
to
Lxr+x,r*6xr=)9,
6xr+Sxr+laxr<76,
lxr-3x,
+6xr350,
xt,
x2,
.ro
)
0.
(b)
Use
dualify
to
solve
the
following
L.P.P":-
.Max
z=Zxr*x2,
t*.,
S
Subject
to
constraints:
x,
+
2x,
<
l0
,
x, * x, 3
6
.
xt;
xr>0.
"1
P"''
(a)
{
National
Oil
Company
Transporation
cost
per
below:-
x,
-
x, S2
,
xr'2x,
1l
,
(71
(NOC)
has
three
refineries
and
four
depots.
ton,
capacities
and
requirements
are
given
/
Sr
frz
Ile
D+
capeq4rtlqspJ
Rr
Rz
R.e
5
8
L2
7
6
10
13
14
I
10
14
1J
ii
700
400
800
R.eouireraem,t
200
600
?OG 40s
Determine
optimal
allocatir:n
of
output"
(b)
If
the
matrix
elements
represent
the unit
transporation
tirnes,
{(
(81
solve
1q+
(a)
Solve
the
following
assignment
problems:
ABCD
/[r
4 6 3l
rrls
7 rc
el
rulq
s
11
7l
-tt
ryls
7 8
sl
{8}
Dsce*rr*en-2G1?
Nlaxirmutm
Marks
JVote;
Attempt
Paper Code:
BCA2OL
Subj ect
:
I,/I
athematie
s
?
the
foliowins
transporate
problern:
-
F'rorrt
To
Dr
Dz
Ds
S+
Available
0r
Oo
0:
L0
1
1.)
o
7
L4
2A
I
L6
1i
20
18
25
-
)
Required
't
ft
r.*
s
1b
10
45
P,T.O.
Tnrap
Spnaesrsn
Time
:
3
Hours
IPJugaad
7/23/2019 Ipjugaad BCA 3rd Sem Mathematics Paper 2012
http://slidepdf.com/reader/full/ipjugaad-bca-3rd-sem-mathematics-paper-2012 2/2
I.2-I
(Lr)
Solve
the
follorving assignment
problems:-
ABCDE
62
78 50
101 82
7L 84
61
73
5q
87
q2
ili 71
81
48
64 87
77
80
(a)
The
score
c,btained
i:y
tu'o
batsmen
follorvs:-
A and
B in
10
matches
are
{6}
17l
1
c
J
4
,,";
..
I
f
rrr
-'
I
J,
Qs
(a)
Girre
thai
the median value
is
46,
find tire
missing
frequencies
for
the
Deterraine
Mid value
15
2CI
25
30
35
4G
45 50
55
Frequency
z
4n
19
14
.)
U 4
6
1 1
Cum
f
-)
24
,12
57
60
64
70
71
/2
{8}
:r.
(b
Q6
Determine
rn'ho
is
more
consistetlt.
(b)
Expialn
with
examples
the
foiion
irrg:-
(i)
Quartile
(ii)
Deciles
{iii)
Percentiies
Deterrnirie
Pearson's
Coefficien
solco
x
150
I
rtll
148
L52
154
Y 55
o+ 63
65
67
(bi
Two ranclom
variai:ie
have
the
regression
lines
3x+2y=)$ and6x*y=31.
Find
the
mean
values
between
these
lines.
(a)
Find
the
equation
of
the lines
of
regression
based
data:-
{e}
Q7
of
a
's
Coeffici
rrelatiori
for
the
follou'ing
data:-
(8|
Q8
-,vith
equaticn
arid
the
angles
17l
on the
fcrliowing
17l
(bi
A
TJ-epiir*an
finds that
tiie
time
spent
on
his
.jobs
has
an
exponential
d.istribution
v;ith
mear:
30
minutes.
If
he repairs
sets
in
the order
in which
they
r,ralne in
and
if the
arrival
of
sets
is
appraximatel;,
Poisson
r,vith an
a\rerage
rate
of
1o
per
8
hour
da5r.
what is
repairmar:'s
expectecl
iciii:
time
each
day?
I{ow'
many.iobs
are
aheacl
of
the
average
set
jl-lst
brcught
in?
(81
w
%*-1h,"
d'{
,
i.J'
t
rtl
i
\
i ..
-..
...,.
,*
/#
q
-,1
t,^*,*,.-.lo*
'
"a:
#-i.
("*
n
{
llowins
incomplete
lrequenc
distribution:-
17
Class
10-20
20-30
30-40
40-50
50,60
60-70
70-80
Total
f
,,12
30
'
"l't{
65 ^r
J L8
229
for the foll:wing
data:
I
A 30
44 66
62
60
,1
^
1
80
46
2A
38
B 34
46 70
38
A;2
60
34
45
30
x
4
a
A
a
4 2
v
2
J
2
4
4
t rAf'*
.*.1 I
I
t' u*.*."
ii
************
IPJugaad