Download PTU (I.K. Gujral Punjab Technical University Jalandhar (IKGPTU) ) B.Pharma (Bachelor of Pharmacy) 2020 March 3rd Sem [46125] Pharmaceutical Mathematics Previous Question Paper
Roll No. Total No. of Pages : 03
Total No. of Questions : 10
B.Pharmacy (Sem.?3)
PHARMACEUTICAL MATHEMATICS
Subject Code : (PHM-233)
M.Code : [46125]
Time : 3 Hrs. Max. Marks : 80
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of FIFTEEN questions carrying TWO
marks each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3. SECTION-C contains FOUR questions carrying TEN marks each and students
have to attempt any THREE questions.
SECTION-A
1. Answer the following :
a) Evaluate the determinant
102 18 36
1 3 4
17 3 6
.
b) Find the adjoint of a matrix of order 2 whose elements are given by a
ij
= 3i + j
c) For any two square matrices A and B, Is AB = BA? Justify your answer.
d) Find the value of tan 75?.
e) Evaluate the limit
2
0
lim( sin 5)
x
x x
?
? ?
f) Show that
1 sin A
1 sin A
?
?
= sec A + tan A.
g) Find the derivative of the function f (x) =
2
x
e sin x w.r.t. x.
h) If log (xy) = cos x, find
dy
dx
.
i) Evaluate log x dx
?
.
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1 | M- (46125) (S4)- 2761
Roll No. Total No. of Pages : 03
Total No. of Questions : 10
B.Pharmacy (Sem.?3)
PHARMACEUTICAL MATHEMATICS
Subject Code : (PHM-233)
M.Code : [46125]
Time : 3 Hrs. Max. Marks : 80
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of FIFTEEN questions carrying TWO
marks each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3. SECTION-C contains FOUR questions carrying TEN marks each and students
have to attempt any THREE questions.
SECTION-A
1. Answer the following :
a) Evaluate the determinant
102 18 36
1 3 4
17 3 6
.
b) Find the adjoint of a matrix of order 2 whose elements are given by a
ij
= 3i + j
c) For any two square matrices A and B, Is AB = BA? Justify your answer.
d) Find the value of tan 75?.
e) Evaluate the limit
2
0
lim( sin 5)
x
x x
?
? ?
f) Show that
1 sin A
1 sin A
?
?
= sec A + tan A.
g) Find the derivative of the function f (x) =
2
x
e sin x w.r.t. x.
h) If log (xy) = cos x, find
dy
dx
.
i) Evaluate log x dx
?
.
2 | M- (46125) (S4)- 2761
j) Solve the integral
cos x
dx
x
?
.
k) Find the mean and variance for first n natural numbers.
l) Define Binomial distribution.
m) What are the measures of dispersion?
n) Six coins are tossed 6400 times. Using the Poisson distribution, find the approximate
probability of getting six heads r times.
o) If X is a normal variate with mean 30 and S.D. 5. Find P (26 ? X ? 40).
SECTION-B
2. Prove that
sec8 1 tan8
sec4 1 tan 2
? ? ?
?
? ? ?
.
3. Differentiate
2
2
( 3)( 4)
3 4 5
x x
x x
? ?
? ?
with respect to x.
4. Solve the integral
2
(1 )
x
xe
dx
x ?
?
.
5. Find the inverse of the matrix
1 3 3
1 4 3
1 3 4
? ?
? ?
? ?
? ?
? ?
.
6. Calculate mean, variance and standard deviation of the following frequency distribution :
Classes : 1-10 10-20 20-30 30-40 40-50 50-60
Frequency : 11 29 18 4 5 3
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1 | M- (46125) (S4)- 2761
Roll No. Total No. of Pages : 03
Total No. of Questions : 10
B.Pharmacy (Sem.?3)
PHARMACEUTICAL MATHEMATICS
Subject Code : (PHM-233)
M.Code : [46125]
Time : 3 Hrs. Max. Marks : 80
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of FIFTEEN questions carrying TWO
marks each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3. SECTION-C contains FOUR questions carrying TEN marks each and students
have to attempt any THREE questions.
SECTION-A
1. Answer the following :
a) Evaluate the determinant
102 18 36
1 3 4
17 3 6
.
b) Find the adjoint of a matrix of order 2 whose elements are given by a
ij
= 3i + j
c) For any two square matrices A and B, Is AB = BA? Justify your answer.
d) Find the value of tan 75?.
e) Evaluate the limit
2
0
lim( sin 5)
x
x x
?
? ?
f) Show that
1 sin A
1 sin A
?
?
= sec A + tan A.
g) Find the derivative of the function f (x) =
2
x
e sin x w.r.t. x.
h) If log (xy) = cos x, find
dy
dx
.
i) Evaluate log x dx
?
.
2 | M- (46125) (S4)- 2761
j) Solve the integral
cos x
dx
x
?
.
k) Find the mean and variance for first n natural numbers.
l) Define Binomial distribution.
m) What are the measures of dispersion?
n) Six coins are tossed 6400 times. Using the Poisson distribution, find the approximate
probability of getting six heads r times.
o) If X is a normal variate with mean 30 and S.D. 5. Find P (26 ? X ? 40).
SECTION-B
2. Prove that
sec8 1 tan8
sec4 1 tan 2
? ? ?
?
? ? ?
.
3. Differentiate
2
2
( 3)( 4)
3 4 5
x x
x x
? ?
? ?
with respect to x.
4. Solve the integral
2
(1 )
x
xe
dx
x ?
?
.
5. Find the inverse of the matrix
1 3 3
1 4 3
1 3 4
? ?
? ?
? ?
? ?
? ?
.
6. Calculate mean, variance and standard deviation of the following frequency distribution :
Classes : 1-10 10-20 20-30 30-40 40-50 50-60
Frequency : 11 29 18 4 5 3
3 | M- (46125) (S4)- 2761
SECTION-C
7. Prove that
2 2
2 2 2 2 2
2 2
4
a bc ac c
a ab b ac a b c
ab b bc c
?
? ?
?
.
8. a) A set of 8 symmetrical coins was tossed 256 times and the frequencies of throws
observed were as follows :
No. of heads 0 1 2 3 4 5 6 7 8
Frequency of throws 2 6 24 63 64 50 36 10 1
Fit a binomial distribution to above data :
b) Write properties of Normal distribution curve.
9. a) If y = x
sin x
+ (sin x)
x
= 7, then find
dy
dx
.
b) Show that
0 0
3 cosec 20 sec20 = 4 ? .
10. a) Solve the integral
( 1)( 2)( 3)
x
dx
x x x ? ? ?
?
.
b) Find the values of a and b, so that the function defined by
5 2,
( ) 2 10
21 10
x
f x ax b x
x
? ?
?
? ? ? ?
?
?
?
?
is a continuous function.
NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any
page of Answer Sheet will lead to UMC against the Student.
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This post was last modified on 22 March 2020