Download PTU I. K. Gujral Punjab Technical University (IKGPTU) B.Pharma (Bachelor of Pharmacy) 2020 December 3rd Sem 46221 Pharmaceutical Mathematics Previous Question Paper

Roll No.

Total No. of Pages : 03

Total No. of Questions : 24

B.Pharma (2012 to 2016) (Sem.?3)

PHARMACEUTICAL MATHEMATICS

Subject Code : BPHM-301

M.Code : 46221

Time : 3 Hrs. Max. Marks : 80

INST RUCT IONS T O CANDIDAT ES :

1 .

SECT ION-A is C OMPULSORY co nsisting of FIFT EEN questio ns carrying TWO

marks eac h.

2 .

SECT ION-B c ontains F IVE questions c arrying FIVE marks eac h and s tud ents

have to atte mpt ANY FOUR questio ns.

3 .

SECT ION-C contains FOUR q uestions carrying T EN marks eac h an d s tud ents

have to atte mpt ANY THREE q uestions.

SECTION-A

Solve the following :

1

4

3

1.

Define singular matrix and show that A =

6

8

5 is singular matrix.

2 8

6

1

3

5

2.

Without expanding show that the value of determinant is zero 2

6

10 .

31 11 38

7

0

3 0

3.

Find X and Y if X + Y =

and X ? Y =

.

2

5

0

3

4.

Find the length of an arc of a circle of radius 5 cm subtending a central angle measuring

15?.

sin A +sin 3A

5.

Prove

tan 2A.

cos A + cos 3A

6.

Find the differential coefficient of 6x + 1 w.r.t x by using first Principle.

7.

Differentiate the function (x + a)m (x + b)n.

1 | M - 4 6 2 2 1

( S 4 ) - 5 6 8

2

x 3x 4

8.

Integrate the function

.

x

dx

9.

Evaluate

.

x (1 x )

10. The mean of 100 students were found to be 40. Later on it was discovered that a score of

53 was misread as 83. Find the correct mean.

11. For a set of 10 observations, mean = 5, S.D = ?2 and C.V = 60%. Comment.

12. Is there any fallacy in the statement? The mean of a Binomial Distribution is 20 and its

standard deviation is 7.

13. Write relation between mean, median and mode.

14. Calculate the standard deviation of first 7 natural numbers.

15. During war 1 ship out of 9 was sunk on an average in making a certain voyage. What was

the probability that exactly 3 out of a convoy of 6 ships would arrive safely?

SECTION-B

2 1

1

6

4 6

16. If A =

, B

, C

verify (AB)C = A(BC).

3

4

3 4

3 5

1?

17. Prove tan 11

2 1.

4

18. Calculate the mean and standard deviation for the following distribution :

Marks :

20-30

30-40

40-50

50-60

60-70

70-80

80-90

No of students :

3

6

13

15

14

5

4

dy

2

3at

3at

19. Find

for the function in parametric form x

, y

.

dx

3

3

1 t

1 t

2

d y

dy

20. If y = a cos (log x) + b sin (log x) then show that 2

x

x

y 0.

2

dx

dx

2 | M - 4 6 2 2 1

( S 4 ) - 5 6 8

SECTION-C

21. Using Cramer's rule solve the following system of equations :

x ? y + 3z = 6

x + 3y ? 3z = ?4

5x + 3y + 3z = 10

22. In an examination taken by 500 candidates the average and standard deviation of marks

obtained (normally distributed) are 40% and 10%. Find approximate

a) How many will pass if 50% is fixed as a minimum?

b) What should be minimum if 350 candidates are to pass?

c) How many have scored above 60%?

(Given P (0 Z 1) = 0.3415, P (0 Z 2) = 0.4772, P (0.2) = 0.53)

23. a) Evaluate

x

e sin xdx

3x 1

b) Evaluate

dx

2

(x 2) (x 2)

24.

a) Differentiate

2

log (x 1 x ).

1

b) Prove that cos 20? cos 40? cos 60? cos 80? =

.

16

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.

3 | M - 4 6 2 2 1

( S 4 ) - 5 6 8

This post was last modified on 14 February 2021