B. com. questions paper 2009 2016

This is year-wise questions on Mathematics of previous years from 2009-2016 for B.Com. III year Students under University of Calcutta.

1. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992

2. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992

3. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
8584992992
3

4. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
4

5. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
5
2016
ADVANCED BUSINESS MATHEMATICS –HONOURS
Sixth Paper
Full Marks –50
The figures in the margin indicate full marks
Candidates are required to give their answers in their own words as far as practicable.
Group –A   



. )( Evaluate . 5.0)( and 3.0)( with eventst independen twoare and If
).( of value thefind ,
4
1
)( and
3
1
)( ,
2
1
If (e)
. and of value thefind equal are
5 3
5 1
and
5
1 3
If (d)
.4 when
d
Find
.53 of derivative thefind definition Using(c)
. )2()(2 is of aluefor what v ,432 If (b)
.
1
function theof definition ofdomain theFind
answer.your for reasons Give ? When .
2
4
and 2Given (a)
2
2
2
2
2
2
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: questions following the Answer 1.
Or
Or
Or
2016
5 2

6. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
6
Group –B
Or
Or
6
6
6
6
2016
 
4
32
723
: methodmatrix by equations following theSolve (d)
. 0

that show , 0 If
22
22
22
that Show (c)
0. that show Hence . that show , If (b)
cost? marginal toequal is
costat which output theFind .
3
1
10300 Rs. ofcost totalaat output of units produces firmA
numbers. thefind greatest, isnumber theofproduct the
If number. second the twiceisnumber theseoffirst and 180 is sum egiven whos are numbers Three (a)
222
3
2
2
32
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xxxx
nmnm
: followings the Answer 2.
6
6
Or

7. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
7.
1513
1
lim (ii) ,
5
73
lim (i)
: following theEvaluate (e)
. 3order ofmatrix unit theis where
, 23 such that find then and , that show ,
5 3 1-
5- 3- 1
5 3 1-
If
. 4
32
723
: methodmatrix by equations following theSolve (d)
2
1
23
24
22
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xx
x
xx
xx
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xx
Or
6
6
3+3
2016

8. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
8 
.
1
)82(
(ii)
3252
(i)
:oneany Evaluate )b(
black. is one and whiteis oney that probabilit thefind bag,each fromdrawn is ball one If
balls.black 5 and white3 contains bagAnother balls.black 2 and white4 contains bag One
committee. in themajority a bemay ladies that the
yprobabilit theFind ladies. 4 andmen 6 from formed be tois members 5 of committeeA )a(
: followings Answer the .3
2
dx
xx
x
xx
dx



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
Group –C
Or
6
6
4
2016
* * *

9. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
9
2015
ADVANCED BUSINESS MATHEMATICS –HONOURS
Sixth Paper
Full Marks –50
The figures in the margin indicate full marks
Candidates are required to give their answers in their own words as far as practicable.
Group –A  
 
   
     
 
12. when for solve ,836152 If
. of principlefirst by the derivative theFind (e)
.
3
0
2
and 023 where Find (d)
. find then
2
1
and
5
2
,
4
1
If
1 ii ;0 i
results following thefrom drawyou can conclusion what , and events For two (c)
273
672

function following theof definition ofdomain theFind (b)
.2 of value thefind , 2352 If
.1 that show then , If (a)
23
2
2
2
2
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: questions following the Answer 1.
Or
Or
Or
2015
5 2

10. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
10
Group –B
Or
Or
3+3
6
6
2015 





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14923
742
632
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.222
1
1
1
that Show (c)
. find Hence 3.order ofmatrix
identity theis andmatrix Null zero theis where,23that verify ,
200
422
201
If
3.order ofmatrix
Null zero theis where, that show ,
531
531
531
and
431
541
532
If (b)
321
65
lim ii ,
2
37
lim i
: following theEvaluate (a)
2
2
2
1
2
2
2
2
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: followings the Answer 2.
6
6

11. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
11
Group –B
Or
3
6
2015  

minima? respectivetheir attain cost variableaverage andcost marginal thewilloutput of levelAt what
.5105
10
1
where Rs. ofcost totalaat output of tonnes produces firmA
value.minimum its than less is
364
of valuemaximum that theshow ,2 If (e)
.0 that show then ,
1
2
and
1
1
If ii
. that show then ,4 and 14 If i (d)
23
2
2
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t
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x
y
dx
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3
6

12. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
12 

 
?colour same of same of
aredrawn balls twoy that theprobabilit theis What made. is ball a of draw second a then and
treplacemen with bag thefromdrawn is ball One balls.black 4 and white5 contains bagA
? Sundays 53contain willdays 366year -leap ay that probabilit theis What )b(
11
(ii)
34
22
(i)
:oneany Evaluate )a(
: followings Answer the .3
2
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xx
dx
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dxx
Group –C
4
6
6
2015
* * *
Or

13. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
13
2014
ADVANCED BUSINESS MATHEMATICS –HONOURS
Sixth Paper
Full Marks –50
The figures in the margin indicate full marks
Candidates are required to give their answers in their own words as far as practicable.
Group –A  

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43 Evaluate
2
2
Evaluate (e)
.
2
3
2
1
21
that show ,
21
43
matrix aFor
. that prove
11
21
and
43
12
matrices For two (d)
interval.any in function increasingan is 12364function that theProve
that prove , If (c)
. where, Find (b)
.1
1
that prove then , If (a)
32
2
1
23
22
22
2
: questions following the Answer 1.
Or
Or
2014
5 2
Or

14. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
14
Group –B
Or
3+3
6
6
2014 
 
 
   

.33 ; 872 ; 53
: rule sCramer'by Solve (e)
0.
111
111
111
where of value theFind
3.order ofmatrix identity theis and
matrix Null zero theis where,23 that verify ,
200
422
201
If (d)

maximum. isproduct their that so parts in two 20 Divide (c)
.01 that prove then ,1log If
. that show then ,4 and 1 4 If (b)
2
37
lim ii ,
54
27
lim i
32
152
lim ii ,
4
5232
lim i
: following theEvaluate (a)
2
2
2
22
2
63
3
2
2
30
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: followings the Answer 2.
6
6
Or
Or
6
3+3

15. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
15 

12log4log

: Evaluate )e(
2

 xxx
dx
Group –C
2014
* * * 
 
 
 axis. and ,513by bounded area theFind )d(
. that show , If )c(
log1
(ii)
151
(i)
: Evaluate )b(
.3 find ,1233 If )a(
: followings Answer the .3
2
e
0 2
2
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xxxy
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ba
bx
a
ab
ax
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dx
xx
xdx
xfxxxf

16. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
16
2013
ADVANCED BUSINESS MATHEMATICS –HONOURS
Sixth Paper
Full Marks –50
The figures in the margin indicate full marks
Candidates are required to give their answers in their own words as far as practicable.
Group –A  

 
  
. that prove then ,
32
10
If
. that show ,
11
11
and
11
11
If (e)
43 ii ,
23
i
Evaluate (d)
.12in decreases 113464 that Show (c)
.2 that prove , If (b)
.12 when for solve ,836152 If
.0 ,
1
find ,
1
1
If (a)
2
3
23
222
23
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: questions following the Answer 1.
Or
2013
5 2
Or

17. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
17
Group –B
Or
6
3+3
3+3
2013 
 

.whether verify ,
413
101
312
and
113
321
210
matrix theIf (e)
value.maximum itsan greater th is
1
of valueminimum that theProve (d)
. that prove , If
.0 that prove , If (c)
11
lim ii ,
23
65
lim i
4
23
lim ii ,
41
3
lim i
: following theEvaluate (b)
.
111
1
111
111
111
that Prove
.33 ; 432 ; 42
: rule sCramer'by Solve (a)
3
3
2
2
2
2
2
0
2
2
1
3
2
3
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: followings the Answer 2.
6
6
Or
Or
6
6
6

18. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
18
Group –C
2013
* * *


   
 
.44 curves by the boundedregion theof area theFind )c(
21
: Evaluate )b(
.1 that prove , If )a( 4.
.
log
1
log
1
(ii)
121
15
(i)
: Evaluate )b(
.
11
that show ,
1
1
If )a(
: followings Answer the .3
22
2
e
2 22
2
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xx
dx
yfyfxxxf
dx
xx
dx
xx
x
xy
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x
x
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ee
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




19. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
19
2012
ADVANCED BUSINESS MATHEMATICS –HONOURS
Sixth Paper
Full Marks –50
The figures in the margin indicate full marks
Candidates are required to give their answers in their own words as far as practicable.
Group –A  
 

 

 

 
  . find ,321 and ,
3
2
1
If
. of value thefind ,
50
45
and
20
22
If (e)
1
53
ii ,
1
i
Evaluate (d)
. of points stationary thefind ,10243 If (c)
.function for the theoremsEuler'Verify (b)
. find then ,235log If
.1 find ,5233 If (a)
3
2
2
23
22
33
2
2
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Or
2012
5 2
Or

20. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
20
Group –B
Or
6
3+3
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21. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
21
Group –C
2012
* * * 
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

22. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
22
2011
ADVANCED BUSINESS MATHEMATICS –HONOURS
Sixth Paper
Full Marks –50
The figures in the margin indicate full marks
Candidates are required to give their answers in their own words as far as practicable.
Group –A  
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2011
5 2
Or

23. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
23
Group –B
2011 
  . find , If (ii)
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24. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
24
Group –C
2011
* * *
 
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25. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
25
2010
ADVANCED BUSINESS MATHEMATICS –HONOURS
Sixth Paper
Full Marks –50
The figures in the margin indicate full marks
Candidates are required to give their answers in their own words as far as practicable.
Group –A  
 
. of value thefind 1, If (e)
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1
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412
320
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541
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: questions following the Answer 1.
Or
2010
5 2

26. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
26
Group –B
2010 
 

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27. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
27
Group –C
2010
* * *2.order ofmatrix identity an is where,34 that show then ,
21
12
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28. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
28
2009
ADVANCED BUSINESS MATHEMATICS –HONOURS
Sixth Paper
Full Marks –50
The figures in the margin indicate full marks
Candidates are required to give their answers in their own words as far as practicable.
Group –A 

 

 
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1
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: questions following the Answer 1.
Or
2009
5 2

29. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
29
Group –B
2009 
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Or

30. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
30
Group –C
2009
* * * 

   

. and of value thefind , 4
2
lim If (iii)
annually. 5% compounded beinginterest of rate thehence, years 7 commence toannumper
79.20 Rs. ofy aperpetuitor years 10for last to150 Rs. ofannuity an :option better is Which (ii)
function.cost theof range and definition ofdomain
theFind per week. units 600 oflimit capacity a hasfactory The . 12500equation
by thegiven output weekly its offunction a isper week factory a of cost totalThe (i) )b(
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values.minimum and maximum the
down Writeminimum.or maximum a has 1function the, of aluesfor what v Find (i) )a(
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


31. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
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will be available at download links soon.
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Published shortly.
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32. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
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33. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
33
2009 -2016

34. Year Paper -
[C. U.]
B. Com.
III year
Advance Business Mathematics
8584992992
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2009 -2016