Loyola College Question Paper 2006

Loyola College B.Sc. Mathematics Nov 2006 Physics For Mathematics Question Paper PDF Download

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            LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034                                B.Sc. DEGREE EXAMINATION – MATHEMATICS

AC 03

THIRD SEMESTER – NOV 2006

PH 3100 – PHYSICS FOR MATHEMATICS

(Also equivalent to PHY 100)

 

 

Date & Time : 28-10-2006/9.00-12.00     Dept. No.                                                       Max. : 100 Marks

 

 

PART A

Answer ALL questions:                                                                 10 x 2 = 20 marks

 

  1. State Principle of Conservation of angular momentum.
  2. Give an expression for angular acceleration.
  3. State Newton’s law of Gravitation.
  4. What is parking orbit?
  5. Define Poisson’s ratio.
  6. Explain the term viscosity of a fluid.
  7. State the fundamental postulates of the special theory of relativity.
  8. Explain the term ‘frame of reference’.
  9. What are beats?  How are they produced?
  10. The driver of a car moving towards a factory with velocity 30 m/s sounds the horn with a frequency of 240 Hz.   Find the apparent frequency of sound heard by the watchman of the factory.

PART B

Answer any FOUR questions:                                                      4 x 7.5 = 30 marks

 

  1. Prove that the oscillation of a liquid in a U-tube is simple harmonic.
  2. Using Newton’s law of gravitation calculate (a) mass and density of earth (b) mass of sun [given G = 6.67 x 10-11 Nm2 Kg-2; Radius of  earth = 6.38 x 106 m and distance of earth from centre of the Sun = 1.5 x 1011
  3. Obtain Stoke’s law for the motion of body in a viscous medium from dimensional considerations. Also determine the Coefficient of viscosity of a liquid from Stoke’s formula.
  4. On the basis of Lorentz transformation, derive an expression for length contraction.
  5. Explain Doppler Effect. Derive a general expression for  the apparent frequency of a note when both the source and the listener are in motion.

 

PART C

Answer any FOUR questions:                                                    4 x 12.5 = 50 marks

 

  1. Explain simple harmonic motion and discuss its characteristics.  Derive Simple Harmonic equations by calculus.
  2. What is stationary satellite? Define escape velocity.  Show that the escape velocity from the surface of the earth is equal to 11 km/s.  Distinguish between orbital velocity and escape velocity.
  3. Define Young’s modulus, modulus of rigidity and Poisson’s ratio.  Show that the bulk modulus of elasticity K = Y / [3(1-2σ)].
  4. Describe Michelson-Morley experiment.  Discuss the results obtained.
  5. What is resonance?  Explain the resonance column find the velocity of sound in air.

 

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Loyola College B.Sc. Mathematics Nov 2006 Mechanics-II Question Paper PDF Download

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LOYOLA COLLEGE  ( AUTONOMOUS ) , CHENNAI – 600 034

BSc DEGREE EXAMINATION  -MATHEMATICS

V SEMESTER – NOVEMBER 2006

 

Date       :                                                                                                                  Max  : 100 Marks

Duration:                                                                                                                  Hours: 3 hours

————————————————————————————————————————-

SUB.CODE:MT5500                                                                                                                           SUB.NAME : MECHANICS-II

——————————————————————————————————————————————————————

 

Answer  ALL  the questions and each question carries 2 marks                     [  10 X 2  = 20  ]

 

01.State the cases of  non existence of center of gravity

02.State the forces which can be ignored in forming the equation of virtual work.

03.Define Neutral equilibrium with an example

04.Define Span of a Catenary

05.A particle is performing S.H.M. between points A and B. If the period of oscillation is

2p, show that the velocity at any point is a mean proportional between AP and BP.

06.Define Apse

07.If the angular velocity of a particle moving in a plane curve about a fixed origin is

constant, show that its transverse acceleration varies as radial velocity.

08.Find the M.I of a thin uniform rod.

09.Define radius of gyration.

10.State D’Alembert’s principle.

 

Answer any FIVE of the following                                                               [  5 X 8  = 40  ]

 

  1. A uniform solid right circular cylinder of height l and base radius r is sharpened at

one end like pencil. If the height of the resulting conical part be h, find the distance

through which the C.G is displaced, it being assumed that there is no shortening of the

cylinder.

 

12.Find the C.G. of a uniform hollow right circular cone.

 

13.A uniform chain, of length l, is to be suspended from two points A and B, in the same

horizontal line so that either terminal tension is n times that at the lowest point. Show

that the span AB must be

14.A uniform string hangs under gravity and it is such that the weight of each element of

it is proportional to the projection of it on a horizontal line. To determine the shape of

the string.

 

15.Show that the composition of 2 simple harmonic motions of the same period along 2

perpendicular lines is an ellipse.

 

16.A particle executing S.H.M in a straight line has velocities 8,7,4 at three points distant

one foot each other. Find the period.

 

17.Derive the radial and transverse components of velocity and acceleration.

 

  1. A circular disc of radius 5cms. Weighing 100 gms. is rotating about a tangent at the

rate of 6   turns per second. Find the frictional couple which will bring it to rest in one

minute

 

Answer any TWO of the following                                                                [  2 X 20  = 40  ]

 

19.i.Discuss the stability of a body rolling over a fixed body

ii.A body consisting of a cone and a hemisphere on the same base rests on a rough

horizontal table. Show that the greatest height of the cone so that the equilibrium may

be stable is  times the radius of the sphere.

 

20.i.State and prove the principle of virtual work for a system of coplanar forces acting on

a rigid body.

ii.A solid hemisphere is supported by a string fixed to a point on the rim and to a point

on a smooth vertical wall with which the curved surface of the hemisphere is in

contact. If  and are the inclination of the string and the plane base of the

hemisphere to the vertical, prove that

21.A point moves with uniform speed v along the curve r = a (1+ cosq ). Show that

  1. Its angular velocity w about pole is
  2. Radial component of acceleration is constant and equal to numerically

iii. Magnitude of resultant acceleration is

22.i.State and prove the theorem of parallel axes

  1. Find the moment of inertia of a hollow sphere.

 

 

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Loyola College B.Sc. Mathematics Nov 2006 Graphs, Diff. Equ., Matrices & Fourier Series Question Paper PDF Download

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             LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034  B.Sc. DEGREE EXAMINATION – MATHEMATICS

AA 02

FIRST SEMESTER – NOV 2006

         MT 1501 – GRAPHS, DIFF. EQU., MATRICES & FOURIER SERIES

 

 

Date & Time : 03-11-2006/1.00-4.00           Dept. No.                                                       Max. : 100 Marks

 

 

SECTION A

Answer ALL Questions.                                                                            (10 x 2 = 20)

  1. A firm producing poultry feeds finds that the total cost C(x) of producing x units is given by C(x) = 20x + 100. Management plans to charge $24 per unit for the feed. How many units must be sold for the firm to break even?
  2. Find the equation of the line passing through (2, 9) and (2, -9).
  3. Find the domain and range of the function f(x) = .
  4. Find the axis and vertex of the parabola y = x2 – 2x + 3.
  5. Reduce y = axn to the linear law.
  6. Solve the difference equation yx+2 – 8yx+1 + 15yx = 0.
  7. State Cayley Hamilton theorem.
  8. Find the determinant value of a matrix given its eigen values are 1, 2 and 3.
  9. Define periodic function. Give an example.
  10. Show that = 0, when n 0.

SECTION B

Answer ANY FIVE Questions.                                                         (5 x 8 = 40)

  1. The marginal cost for raising a certain type of fruit fly for a laboratory study is $12 per unit of fruit fly, while the cost to produce 100 units is $1500.

(a) Find the cost function C(x), given that it is linear.

(b) Find the average cost per unit to produce 50 units and 500 units.(4 + 4 marks)

 

  1. The profit P(x) from the sales of x units of pies is given by P(x) = 120x – x2. How many units of pies should be sold in order to maximize profit? What is the maximum profit? Draw the graph.
  2. Graph the functions (a) y = x2 – 2x – 15 , (b) f(x) = .

(4 + 4 marks)

  1. Fit a parabola y = a + bx + cx2 using method of group averages for the following data.

x          0          2          4          6          8          10

y          1          3          13        31        57        91

  1. Solve the difference equation yk+2 – 5yk+1 + 6yk = 6k.
  2. Find the eigen values and eigen vectors of A = .
  3. Using Cayley Hamilton theorem, find A-1 if A = .
  4. In (-), find the fourier series of periodicity 2for f(x) = .

SECTION C

Answer ANY TWO Questions.          (2 x 20 = 40)

  1. (a) Suppose that the price and demand for an item are related by p = 150 – 6x2, where p is the price and x is the number of items demanded. The price and supply are related by p = 10x2 + 2x, where x is the supply of the item. Find the equilibrium demand and equilibrium price.

(b) Fit a straight line by the method of least squares for the following data.

x          0          5          10        15        20        25

y          12        15        17        22        24        30        (10 + 10 marks)

  1. Solve the following difference equations.

(a) yn+2 – 3yn+1 + 2yn = 0, given y1 = 0, y2 = 8, y3 = -2.

(b) u(x+2) – 4u(x) = 9x2.                                                               (8 + 12 marks)

  1. Expand f(x) = x2, when -< x < , in a fourier series of periodicity 2. Hence deduce that

(i) .

(ii) .

(iii) .

  1. Diagonalize the matrix A = . Hence find A4.

 

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Loyola College B.Sc. Mathematics Nov 2006 Graph Theory Question Paper PDF Download

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             LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034  B.Sc. DEGREE EXAMINATION – MATHEMATICS

AA 08

FIFTH SEMESTER – NOV 2006

         MT 5400 – GRAPH THEORY

(Also equivalent to MAT 400)

 

 

Date & Time : 03-11-2006/9.00-12.00         Dept. No.                                                       Max. : 100 Marks

 

 

Part A

 

Answer all the questions. Each question carries 2 marks.

 

  1. Give an example of a regular graph of degree 0.
  2. The only regular graph of degree 1 is K2. True or false? Justify your answer.
  3. What is a self-complementary graph?
  4. What is the maximum degree of any vertex in a graph on 20 vertices?
  5. Show that the two graphs given below are not isomorphic.

 

 

 

  1. Give an example of a closed walk of even length which does not contain a cycle.
  2. Draw all non-isomorphic trees on 6 vertices.
  3. Give an example of a graph which has a cut vertex but does not have a cut edge.
  4. Define a block.
  5. Give an example of a bipartite graph which is non-planar.

 

Part B

Answer any 5 questions. Each question carries 8 marks.

 

  1. (a). Prove that in any graph,

(b). Draw the eleven non-isomorphic sub graphs on 4 vertices.                     (4+4)

  1. (a). Define the incidence and adjacency matrices of a graph. Write down the

adjacency matrix of the following graph:

(b). Let G be a (p, q)-graph all of whose vertices have degree k or k + 1. If G

has t vertices of degree k then show that t = p(k+1)-2q.                                                                                                                                       (4 + 4)

  1. Prove that the maximum number of edges among all graphs with p vertices, where p is odd, with no triangles is [p2 / 4], where [x] denotes the greatest integer not exceeding the real number x.
  2. (a). Let G be a k-regular bipartite graph with bipartition (X, Y) and k > 0. Prove

that

(b). Show that if G is disconnected then GC is connected.                (4 + 4)

 

  1. (a). Prove that any self – complementary graph has 4n or 4n+1 vertices.

(b).Prove that a graph with p vertices and  is connected.   (4 + 4)

 

  1. Prove that a graph G with at least two points is bipartite if and only if all its cycles are of even length.

 

  1. (a). Prove that a closed walk of odd length contains a cycle.

(b). Prove that every tree has a centre consisting of either one vertex or two

adjacent vertices.

  1. Let G be graph with with p ≥ 3 and, then prove that G is Hamiltonian.

 

Part C

 

Answer any 2 questions. Each question carries 20 marks.

 

  1. Let G1 be a (p1, q1)-graph and G2 a (p2, q2)-graph. Show that
  2. G1 x G2 is a (p1 p2, q1p2 + q2p1)-graph and
  3. G1[G2 ] is a (p1 p2, q1p22 + q2p1)-graph.

 

  1. Prove that the following statements are equivalent for a connected graph G.
  2. G is Eulerian.
  3. Every vertex of G has even degree.
  4. The set of edges of G can be partitioned into cycles.

 

  1. Let G be a (p, q)-graph. Prove that the following statements are equivalent.
  2. G is a tree.
  3. Any two vertices of G are joined by a unique path.
  4. G is connected and p = q + 1.
  5. G is acyclic and p = q + 1.

 

  1. (a). Obtain Euler’s formula relating the number of vertices, edges and faces of

a plane graph.

 

(b). Prove that every planar graph is 5-colourable.                             (10+10)

 

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Loyola College B.Sc. Mathematics Nov 2006 Formal Languages And Automata Question Paper PDF Download

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   LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034                          B.Sc. DEGREE EXAMINATION – MATHEMATICS

AA 12

FIFTH SEMESTER – NOV 2006

         MT 5404 – FORMAL LANGUAGES AND AUTOMATA

 

 

Date & Time : 06-11-2006/9.00-12.00         Dept. No.                                                       Max. : 100 Marks

 

 

 

PART A

Answer all questions. Each question carries two marks.                             10×2=20

  • Define context – sensitive language and give an example.
  • Write a grammar for the language L(G) = L={anbn / n1}.
  • Show that every context – free language is a context – sensitive language.
  • If L = { L={anb / n1}then find LR
  • Construct a grammar to generate the set of all strings over {a,b} beginning with a.
  • Define an unambiguous grammar.
  • Show that the grammar SSS, Sa, Sb is ambiguous.
  • Construct a DFA which can test whether a given positive integer is divisible by 5.
  • Define a non-deterministic finite automation.
  1. Construct a finite automation that accepts exactly those input strings of 0’s and 1’s that end in 00.

 

PART B

Answer any five questions. Each question carries 8 marks.                          5×8=40

  1. Prove that CSL is closed under union.
  2. Find a grammar generating L={anbncm/ n1, m0}
  3. Write a note on Chomskian hierarchy.
  4. Prove that L= {} is not a CFL.
  5. Prove that PSL is closed under star.
  6. Give an ambiguous and an unambiguous grammar to generate L={anbn / n1}.
  7. Give a deterministic finite automation accepting the set of all strings over {0,1} with three consecutive 1’s.
  8. Let G = ( N, T, P, S), N = {S, A},   T = {a,b},   P = { SaA,  A bS, Ab}. Find L(G). Also construct an NDFA accepting L(G).

 

 

 

 

PART C

Answer any two questions. Each question carries 20 marks.          2×20=40

 

  1. a) Write a note on the construction of CNF
  2. b) Write a grammar in CNF to generate L= {anbman/ n0, m1}              (5+15)

20     State and prove u-v theorem

21     Let M =  (K, I, , F) where K = {}, I = {a,b}, F = {}

.

Find the corresponding DFA.

22     i) Construct a DFA to accept all strings over {a,b} containing the substring   aabb.

  1. ii) Construct a DFA accepting all strings over {0,1} having even number of 0’s.

(10+10)

 

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Loyola College B.Sc. Mathematics Nov 2006 Alg.,Anal.Geomet. Cal. & Trign. – I Question Paper PDF Download

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             LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034  B.Sc. DEGREE EXAMINATION – MATHEMATICS

AA 01

FIRST SEMESTER – NOV 2006

                        MT 1500 – ALG.,ANAL.GEOMET. CAL. & TRIGN. – I

(Also equivalent to MAT 500)

 

 

Date & Time : 01-11-2006/1.00-4.00           Dept. No.                                                       Max. : 100 Marks

 

 

SECTION –A

Answer all:                                                                                    2 x 10 = 20

  

  1. If y = A emx+B e-mx , show that y2 = m2y.
  2. Write down the nth derivative of .
  3. If x = at2 and y = 2at , find .
  4. Prove that the sub tangent to the curve y = ax is of constant length.
  5. Determine the quadratic equation having 1+ as one of its roots.
  6. Calculate the sum of the cubes of the roots of equation x4+2x+3 = 0.
  7. Prove that cos ix = cosh x.
  8. Separate sin (x+iy) into real and imaginary parts.
  9. Define conjugate diameters.
  10. Write the angle between the asymptotes of the hyperbola

 

SECTION –B

Answer any five:                                                                              5x 8 = 40

 

  1. Find the nth derivative of .
  2. Find the angle at which the radius vector cuts the curve .
  3. Show that the parabolas and intersect at right

angles.

14 Solve the equation 6x4-13x3-35x2-x+3= 0 given that is a root of it.

 

  1. Solve the equation x4-2x3-21x2+22x+40= 0 given the roots are in A.P.

 

  1. Prove that cos 6ө in terms of sin ө.
  2. Prove that 32 sin6ө = 10 -15 cos2ө + 6 cos4ө -cos6ө.
  3. If P and D are extremities of conjugate diameters of an ellipse, prove that the locus of middle point of PD is .

 

 

SECTION –C

Answer any two:                                                                                  2x 20 = 40

 

  1. State and prove Leibnitz theorem and , prove that

.

 

20 a) Find the evolute of the parabola y2= 4ax.

  1. b) Prove that p-r equation of r= a(1+ cos ө) is p2 =  .

(10+10)

 

21 a) Find the real root of the equation  x3+6x-2 = 0.

  1. b) If a+b+c+d = 0 , prove that

.

(10+10)

 

22 a) Separate tan-1(x + iy) into real and imaginary parts.

 

  1. b) Derive the polar equation of a conic.

(10+10)

 

 

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Loyola College B.Sc. Economics April 2012 Advanced Statistical Methods Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.A., B.COM., DEGREE EXAMINATION – ECONOMICS & COMMERCE

THIRD SEMESTER – APRIL 2012

ST 3202/3200/4205/4200 – ADVANCED STATISTICAL METHODS

 

 

Date : 02-05-2012              Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

 

SECTION A

     Answer ALL questions.                                                                                           (10 X 2 = 20 marks)    

                                  

  1. State the axioms of the Probability .

 

  1. Write any four properties of normal distribution.
  2. Define conditional probability.
  3. State Type – I and Type – II error.

 

  1. What is standard normal Variable?
  2. State Central Limit Theorem.

7.What is null hypothesis?

  1. What is meant by independence of attributes?
  2. Distinguish between np chart and p chart.
  3. Distinguish between the control limits and tolerance limits.

 

SECTION B

     Answer any FIVE questions:                                                                              (5 X 8 = 40 Marks)

 

  1. 800 candidates of both sex appeared in an examination. The boys outnumbered the girls by 15 %

of  the total. The number of candidates who passed exceeded  the number failed by 480. Equal

number of boys and girls failed  in the examination. Prepare a 2×2 table and find the coefficient

of association and Comment.

 

  1. State and prove Baye’s theorem.
  2. A Sub-Committee of 6 members is to be formed out of a group consisting of 7

men and 4 women. Calculate the probability that the sub-committee will consist of

(1) exactly 2 women (2) at least 2 women.

  1. Two random samples of sizes 400 and 500 have mean 10.9 and 11.5 respectively. Can the samples be

regarded as drawn from the same population with variance 25?  Test at 1% level.

  1. What is Sampling Technique ? Explain different types of Sampling.

 

  1. In a survey of 200 boys, of which 75 intelligent, 40 had skilled fathers while 85 of the Unintelligent  boys has unskilled fathers. Do these figures support the hypothesis that skilled fathers have intelligent boys. Use Chi square –test of 5 % level.

 

 

  1. State the advantages and disadvantages of statistical quality control.

 

  1. The number of defects detected in 20 items are given below

Item No       :  1   2    3    4     5    6   7    8     9    10    11     12    13    14   15   16   17   18  19    20

No. of defects      :  2    0   4   1      0     0   8     1    2     0      6        0     2      1    0      3    2      1   0      2

Test whether the process is under control. Device a suitable scheme for future

 

SECTION   C                                  

Answer any TWO questions:                                                                                   (2 X 20  =  40 Marks)

19.(a) Given (ABC) = 137;   (αBC) = 261; (ABC) = 313; (Aβg) = 284; (Abr) = 417; (αBg) = 420;

(αbC)  =  490; (abg)  =  508; Find the frequencies (AB), (A) and N.                       (10)

 

19.(b) Two Urns contain respectively 10 white, 6 red and 9 black and 3 white 7 red and 15 black balls.  One ball is drawn from each Urn.  Find the probability that  (i)  Both balls are red   (ii)  Both balls are of the same colour.                                                                                                                             (10)

 

  1. (a) A Company has four production sections viz. S1, S2, S3 and S4 , which contribute 30%, 20%, 28%    and  22% of the total output. It was observed that those sections  respectively produced 1%, 2%, 3% and 4% defective units. If a unit is selected at  random and found to be defective, what is the probability that   the units so selected has  come from either S1 or S4.?                                         (10)

 

  1. (b) The customer accounts of a certain departmental store have an average balance of Rs.120 and a

standard deviation of Rs.40. Assuming that the account balances are normally distributed, find

  • What proportion of accounts is over Rs.150?
  • What proportion of accounts is between Rs.100 and Rs.150?
  • What proportion of accounts is between Rs.60 and Rs.90?                (10)

 

21.(a) A random samples of 400 men and 600 women were asked whether they would like to have a fly-over near their residence. 200 men and 325 women were in favor of it. Test the equality of proportion of men and women at 5% level.                                                                                  (10)

  1. (b) Value of a Variety in two samples are given below:
Sample I 5 6 8 1 12 4 3 9 6 10
Sample II 2 3 6 8 1 10 2 8 * *

 

 

 

Test the significance of the difference between the two sample means.                                            (10)

 

  1. Prepare a Two- way ANOVA on the data given below.

 

                                                         Treatment I

 

I II III
A 30 26 38
B 24 29 28
C 33 24 35
D 36 31 30
E 27 35 33

 

 

 

Treatment I I 

 

 

 

Use the coding method, subtracting 30 from the given numbers.                                                                                                                                                                                                                              (20)

 

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Loyola College B.Sc. Economics April 2012 Advanced Statistical Methods Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. B.Com., DEGREE EXAMINATION – ECO. & COMM.

FOURTH SEMESTER – APRIL 2012

ST 4205/4200/3202/3200 – ADVANCED STATISTICAL METHODS

 

 

Date : 19-04-2012              Dept. No.                                        Max. : 100 Marks

Time : 1:00 – 4:00

 

SECTION – A

Answer ALL the questions:                                                                                     (10 X 2 = 20)

 

  1. Write the formula for Yule’s Coefficient of partial association between A and B with C.
  2. What are the methods of association?
  3. State the addition theorem for two events.
  4. Define random variable.
  5. What is the difference between small sample and large sample test.
  6. Define type – II error.
  7. Write down the formula for F-test.
  8. Explain Error sum of squares.
  9. What are the various types of control charts?
  10. Give the control limits for R chart.

 

SECTION – B

Answer any FIVE of the following:                                                                        (5 X 8 = 40)

 

  1. Out of 5 lakh literates in a particular district of India, the number of criminals was 2000. Out       of 50 lakh illiterates in a particular in the same district, number of criminals was 80,000. On       the basis of these figures, do you find any association between illiteracy and criminality?

 

  1. For two attributes A and B, we have:

(AB)= 16, (A) = 36, (αβ) = 10, N = 70. Calculate Yule’s coefficient of association and          Colligation

 

  1. From the table given below, test whether the colour of son’s eyes is associated with that of father’s eyes by using chi-squares test at 5% level.

 

  Eyes Colour in Sons
 

Eyes Colour in

Fathers

   Not light Light
Not light 230 148
Light 151 471

 

 

 

 

 

 

 

  1. Explain the method of analysis of variance for One way classification.

 

  1. The following data refers to visual defects found during the inspection of the first 10 samples of size 50

Each from a lot of two-wheelers manufactured by an automobile company:

 

Sample No. 1 2 3 4 5 6 7 8 9 10
No. of Defectives 4 3 2 3 4 4 4 1 3 2

 

Draw the control chart for fraction defectives and state your conclusion.

  1. The following table shows the distribution of number of faulty units produced in a single       shift in a factory. The data is for 400 shifts.

 

No. of faults 0 1 2 3 4
No. of shifts 138 161 69 27 5

( value of e-1=0.3679)

Fit a Poisson distribution to the given data.

 

  1. There are 4 boys and 2 girls in room-I and 5 boys and 3 girls in room-II. A girl from one of       the two rooms laughed loudly. What is the probability that the girl who laughed was from       room-I and room-II.
  2. The height of ten children selected at random from a given locality had a mean 63.2 cms and variance 6.25 cms. Test at 5% level of significance the hypothesis that the children of the       given locality are on the average less than 65 cms in all.

 

SECTION – C

Answer any TWO of the following:                                                                     (2 X 20 = 40)

 

  1. a) Find the value of ’ K’ and also find Mean and Variance.
X 0 1 2 3
P(X) 1/8 3/8 K 1/8

 

 

 

 

  1. b) State and prove Multiplication theorem of probability.
  2. a) In a random sample of 500 persons from town A, 200 are found to be consumers of          wheat. In a sample of 400 from town B, 220 are found to be consumers of wheat. Do         these data reveal a significant difference between town A and town B as far as the          proportion of wheat consumers is concerned?
  3. b) The following data show weekly sales before and after recognition of the sales organization.

 

Sales before 14 18 13 19 15 14 16 18
Sales after 21 18 17 23 21 18 22 22

Test whether there is any significant difference in sales before and after recognition of the

Sample company.

 

 

 

  1. a) The following are the number of defects noted in the final inspection of 20 bales of woolen cloth:

3, 1, 2, 4, 2, 1, 3 ,5, 2 ,1, 5 , 9, 5, 6, 7, 3, 4, 2, 1,6.

Draw C-chart and state whether the process is under control or not.

 

  1. b) Draw the control chart for Mean and comment on the state of control from the given             data:
Sample number                Observations

  1              2                3
1 50 55 52
2 51 50 53
3 50 53 48
4 48 53 50
5 46 50 44
6 55 51 56

 

  1. The following table gives the yield on 20 sample plot under four varieties of seeds:

 

A B C D
20 18 25 24
21 20 28 30
23 17 22 28
16 15 28 25
20 25 32 28

 

 

 

 

 

 

 

Perform a One-way ANOVA, using 5% level of significance.

 

 

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Loyola College B.Sc. Corporate Sec. & Business Admin Nov 2012 Introduction To Statistics Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – CORPORATE SEC. & BUSINESS ADMIN.

THIRD SEMESTER – NOVEMBER 2012

ST 3105 – INTRODUCTION TO STATISTICS

 

 

Date : 07/11/2012             Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

 

SECTION – A

     Answer ALL questions:                                                                                            (10 x 2 = 20 marks)

 

  1. Distinguish between classification and tabulation.
  2. What are the different types of diagrams?
  3. State any two methods of probability sampling.
  4. State merits and demerits of mean
  5. Find the median of the following data:

84 , 91, 72 , 68, 87 ,78,

  1. Define dispersion. What are the measures of dispersion?
  2. The average rainfall of a city from Monday to Saturday is 0.3 inches. Due to heavy rainfall on Sunday the average rainfall of the week increased to 0.5 inches. Find the rainfall on Sunday.
  3. What are the properties of correlation coefficient.
  4. What are the various components of a time series?
  5. State Yule’s coefficient of variation.

                                                                        SECTION – B                                             

       Answer any FIVE questions:                                                                            (5 X 8  =  40 Marks)

 

  1. What are the limitations of statistics?
  2. Write short notes of the following:

(a)   Cluster Sampling   (b) Random sampling.

 

  1. The mean of 200 items is 60.Later on it was discovered that one of the observation with value 182 was wrongly taken as 82 . Find the correct mean.

 

  1. Calculate the harmonic mean for the following :
 x 10 12 14 16 18 20
F 7 9 10 4 3 6

 

  1. Compute mean deviation abut median from the following data:
X 0-10 10-20 20-30 30-40 40-50 50-60 60-70
F 8 12 17 14 9 7 4

 

  1. Calculate Karl Pearson`s coefficient of correlation from the following data:
Demand (kg) 95 96 98 110 115 125 130 140
Price (Rs.) 25 26 23 27 30 33 35 40

 

 

 

 

  1. Calculate the trend values for the following data using 3 yearly moving average
Year 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010
Sales 26 27 29 32 35 38 35 34 30 32

 

18.Out of 900 persons, 300 were literates and  400 had travelled beyond the limits of their district.100 of

the literates were among those who had not travelled.  Is there any relationship between literacy and

travelling?

                                                                   

SECTION – C                                   (2 X 20  =  40 Marks)

 

 

 Answer any TWO questions

 

19.(a) Draw a histogram and frequency polygon on the basis of the following data:

 

Mid value 18 25 32 39 46 53 60
Frequency 10 15 32 42 26 12 9

(10)

 

19.(b) Calculate the mean, median and mode from the following data and verify the empirical  relationship.

 

C.I 1-10 11-20 21-30 31-40 41-50 51-60 61-70 71-80 81-90 91-100
F 5 9 12 15 10 9 7 5 6 4

(10)

20.(a) The scores of two players A and B in 12 rounds are given below:

 

A 84 87 80 85 88 87 89 98 95 94 92 91
B 87 84 80 90 85 94 96 82 85 84 86 81

(10)

 

 

Identify the better player and the more consistent player.                                                       (10)

 

20.(b) From the following data  compute Bowley’s coefficient of skewness.

 

Marks 40 – 50 50 – 60 60 -70 70 – 80 80 – 90
No.of students 20 25 28 23 15

(10)

  1. Calculate Skewness and kurtosis for the following distribution and interpret them.
Marks 0-10 10-20 20-30 30-40 40-50 50-60
Frequency 10 15 20 27 14 12

 

 

 

(20)

22.(a) Fit a straight line trend for the following data by the method of least squares. Also estimate the trend value for  the  Year 2005.

Year 1996 1997 1998 1999 2000 2001
Production 12 10 14 15 16 20

 

 

 

 

(10)

22.(b) Calculate the seasonal indices from the following data using the simple average method.

 

Year 1stquarter 2ndquarter 3rdquarter 4thquarter
1974 72 68 80 70
1975 76 70 82 74
1976 74 66 84 80
1977 76 74 84 78
1978 78 74 86 82

 

 

 

 

 

 

(10)

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Loyola College B.Sc. Computer Science April 2003 Applicable Mathematics Question Paper PDF Download

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LOYOLA COLLEGE (Autonomous), chennai – 600 034

B.Sc.  degree examination – computer science

third semester -april 2003

cs  3100/ Csc 100   applicable   mathematics

07.04.2003                                                                              Max.: 100 Marks

9.00 – 12.00

 

PART –  A                                 (10 ´ 2 = 20 Marks)

Answer ALL the questions.

01.Show that .

  1. Find the rank of the matrix .
  2. Form a rational cubic equation, whose roots are 1, 3 -, 3 +.
  3. If sin (A+iB) = x + iy, prove that .
  4. State Euler’s theorem for a homogenous function f(x,y,z) of degree ‘n’.
  5. Examine the function f(x,y) = 1+ x2-y2 for maxima and minima.
  6. Evaluate .
  7. Find .
  8. Solve q = 2yp2.
  9. Find the solution of (D2 + 2D +1) y = 0

PART – B                              (5 ´ 8 = 40 Marks)

Answer ALL the questions.

11.      Find the sum to infinity of the series

(OR)

Verify Cayley -Hamilton theorem for the matrix .

 

 

 

  1. Find by Horner’s method the root of the equation x3-3x +1 = 0 which lies between 1 and 2, up to two decimal places.

(OR)

Expand sin3q cos5q inseries of sines of multiples of ‘q’.

  1. Find the radius of curvature at to the curve x3 + y3 =3axy.

(OR)

Using Lagrange’s multiplier method, find the minimum of the function

u = xyz subject to xy + yz +zx = a (x >0, y>0, z >0).

  1. By changing order of integration, evaluate.

(OR)

Integrate  with respect to ‘x’.

  1. Solve .

(OR)

Find the solution of (D2-3D +2)y = sin 3x.

 

PART – C                             (2 ´ 20 = 40 Marks)

Answer any two questions

  1. (a) Find the eigen values and eigen vectors of the matrix.
  • If tan log (x + iy) = a + ib, where a2 + b2 ¹1, show that

tan log  (x2 + y2) =.

  1. (a) Solve the reciprocal equation  6x6-35x5 + 56x4-56x2 35x-6 = 0
  • Investigate the maximum and minimum values of

4x2 + 6xy + 9y2 – 8x -24y + 4.

  1. (a) Solve p tan x + q tan y = tan z.
  • Evaluateover the positive quadrant of the circle

x2 + y2 = a2 .

 

 

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Loyola College B.Sc. Computer Science Nov 2006 Statistical Methods Question Paper PDF Download

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                        LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – COMPUTER SCIENCE

AK 05

THIRD SEMESTER – NOV 2006

CS 3201 – STATISTICAL METHODS

 

 

 

Date & Time : 31-10-2006/9.00-12.00   Dept. No.                                                       Max. : 100 Marks

 

 

 

SECTION A

Answer ALL the questions.                                                                                10 × 2 = 20

 

  1. Define Geometric Mean.
  2. Find the mode for the following distribution:

Class interval:  0-10     10-20   20-30   30-40   40-50   50-60   60-70

Frequency     :    5            8          7         12       28         20        10

  1. State the properties of regression lines.
  2. Write the application of chi-square test.
  3. Three coins are tossed. What is the probability of getting at least one head?
  4. What is the chance that a leap year selected at random will contain 53 Sundays?
  5. Find the expectation of the number on a die when thrown.
  6. If X and Y are two random variables, determine whether X and Y are independent for the following joint probability density function

.

  1. Find the moment generating function of Uniform distribution.
  2. Write the probability density function of Normal distribution.

 

SECTION B

 

Answer ALL the questions.                                                                                  5 × 8 = 40

 

  1. (a) Calculate the mean and median for the following frequency distribution.

Class interval:  0-8       8-16     16-24   24-32   32-40   40-48

Frequency     :   8           7          16        24         15        7

 

(or)

 

(b) Calculate the (i) Quartile deviation and (ii) Mean deviation from mean for the               following data.

Marks              :           0-10     10-20   20-30   30-40   40-50   50-60   60-70

No of students :            6            5          8          15       7           6          3

 

  1. (a) A problem in Statistics is given to five students whose chances of solving it are 1/6, 1/5, 1/4, 1/3 and 1/2 respectively. What is the probability that the problem is solved?

 

(or)

 

(b) A coin is tossed three times. Find the chances of throwing, (i) three heads (ii) two heads and one tail and (iii) head and tail alternatively.

 

 

 

 

 

  1. (a) A computer while calculating correlation coefficient between two variables X and Y from 25 pairs of observations obtained the following results : n = 25, ∑X = 125, ∑= 650, ∑Y = 100, ∑= 460, ∑XY = 508. It was however later discovered at the time of checking that he had copied down tow pairs as while the correct values are. Obtain the correct value of correlation coefficient.

(or)

 

(b) A random sample of students of XYZ University was selected and asked their opinion about ‘autonomous colleges’. The results are given below. The same number of each sex was included within each class-group. Test the hypothesis at 5% level that opinions are independent of the class groupings. (Given value of chi-square for 2, 3 degree of freedom are 5.991, 7.82 respectively)

 

class Favouring ‘autonomous colleges’ Opposed to ‘autonomous colleges’
B.A/B.Sc part I 120 80
B.A/B.Sc part II 130 70
B.A/B.Sc part III 70 30
M.A/M.Sc. 80 20

 

 

  1. (a) For the discrete joint distribution of two dimensional random variable (X, Y) given below, calculate E(X), E(Y), E(X+Y), E(XY). Examine the independence of variables X and Y.
X  \  Y 2 5
-1 .27 0
0 .08 .04
2 .16 .10
3 0 .35

(or)

 

(b) A random variable X has the following probability function:

X   : 0        1          2          3          4          5          6          7

P(X)    : 0  k          2k        2k        3k

(i) Find k (ii) Evaluate P(X<6),  and  (iii) determine the distribution function of X.

  1. (a) A coffee connoisseur claims that he can distinguish between a cup of instant coffee and a cup of percolator coffee 75% of the time. It is agreed that his claim will be accepted if he correctly identified at least 5 of the 6 cups. Find his chance of having the claim (i) accepted (ii) rejected when he does have the ability he claims.

 

(or)

 

(b) Define Exponential distribution. Find the mean and variance of the same.

 

 

 

 

 

 

SECTION C

 

Answer any TWO questions:                                                                              2 × 20 = 40

 

  1. (a) The first four moments of a distribution about the value 4 of the variable are -1.5, 17, -30 and 108. Find the moments about mean,, . Find also the moments about origin, coefficient of skewness and kurtosis.

(b) Obtain the equations of two lines of regression for the following data. Also obtain (i) the estimate of X for Y = 70 (ii) the estimate of Y for X = 71

X   :       65            66        67        67        68        69        70        72

Y   :       67            68        65        68        72        72        69        71                    (8+12)

 

  1. (a) Three groups of children contain respectively 3 girls and 1 boy, 2 girls and 2 boy and 1girl and 3 boys. One child is selected at random from each group. Show that the chance that the three selected consists of 1 girl and 2 boys is 13/32.

(b) (i)  State Baye’s Theorem .

(ii) In a bolt factory machines A, B and C manufacture respectively 25%, 35% and 40% of total. Of their output 5, 4, 2 percent are defective bolts. A bolt is drawn at random from the product and is found to be defective. What are the probabilities that it was manufactured by machines A, B and C?                                                    (8+12)

 

  1. (a) Two random variable X and Y have the following joint p.d.f.:

Find (i) Marginal p.d.f. of X and Y.

(ii) Conditional density functions.

(iii) Var(X) and Var(Y).

(iv) Covariance between X and Y.

(b) Find the mean and variance of Binomial distribution.                                   (12+8)

 

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Loyola College B.Sc. Computer Science Nov 2006 Software Engineering Question Paper PDF Download

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                       LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – COMPUTER SCIENCE

AK 09

FIFTH SEMESTER – NOV 2006

CS 5502 – SOFTWARE ENGINEERING

(Also equivalent to CSC 508)

 

 

Date & Time : 27-10-2006/9.00-12.00     Dept. No.                                                      Max. : 100 Marks

PART A

Answer all questions:                                                                              5 X 2 = 20

  1. Define software engineering.
  2. Define Function Point.
  3. What are the activities of Software Configuration Management?
  4. What is meant by software prototyping?
  5. Define Modality.
  6. Define DSSD.
  7. What is meant by data design?
  8. Define Coupling.
  9. What are the objectives of testing?
  10. Define Debugging.

PART B

Answer all questions:                                                                              5 X 8 = 40

  1. a) “ Software development can follow a classic life cycle”- How?

Or

  1. b) Explain in detail about the Boehm’s hierarchical model of empirical estimation.

 

  1. a) How risks are projected in the risk table?

Or

  1. b) What is meant by Software Configuration Item? Explain its baselines.
  1. a) Define the following with examples.
  1. i) Data Object ii) Attributes iii) Relationship iv) Cardinality and its types.

Or

  1. b) Explain the following analysis methods.
  2. i) JSD ii) SADT
  1. a) Explain the process of transforming Analysis to Design with suitable diagram.

Or

  1. b) Define Cohesion? Explain its types with the spectrum.
  2. a) Explain testing fundamentals.

Or

  1. b) Explain all the software quality factors stated by McCall’s.

PART C

      Answer any two questions:                                                                    2 X 20 = 40

 

  1. a) Discuss in detail Organizing a software team and communication and

coordination issues in software project planning.

  1. b) Explain phases of software requirement analysis.

 

  1. a) Explain the construction of Data Flow Diagram and its implementation to real

time system.

  1. b) State and explain the principles of effective software design.

 

  1. a) Explain the software characteristics that need to a testable software.
  2. b) Discuss in detail about the various software myths.

 

 

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Loyola College B.Sc. Computer Science Nov 2006 Resource Management Techniques Question Paper PDF Download

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                        LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – COMPUTER SCIENCE

AK 10

FIFTH SEMESTER – NOV 2006

                    CS 5503 – RESOURCE MANAGEMENT TECHNIQUES

(Also equivalent to CSC 509)

 

 

Date & Time : 30-10-2006/9.00-12.00   Dept. No.                                                       Max. : 100 Marks

 

 

SECTION A

Answer ALL the questions.                                                                                        (10 x 2 = 20)

 

  1. Define Basic Variables.
  2. Define an optimal solution.
  3. Find the Dual for the following

Maximize

Subject to

 

  1. Write down the route condition for the traveling salesman problem.
  2. Define total elapsed time and idle time.
  3. Explain planning and scheduling.
  4. Define critical path and total float.
  5. Explain optimistic time estimate.
  6. Define shortage cost and setup cost.
  7. Define present worth factor.

 

SECTION B

Answer ALL the questions.                                                                         (5 x 8 = 40)

 

  1. (a) A firm produces three products. These products are processed on three different machines. The time required to manufacture one unit of each of the three products and the daily capacity of the three machines are given in the table below:
Time per unit (minutes)
Machine Product 1 Product 2 Product 3 Machine capacity(min/day)
M1 2 3 2 440
M2 4 – 3 470
M3 2 5 – 430

It is required to determine the number of units to be manufactured for each product daily. The profit per unit for product 1, 2, and 3 is Rs.4, Rs.3, and Rs.6 respectively. It is assumed that all the amount produced are consumed in the market. Formulate the mathematical model for the problem and find it’s dual.

(or)

(b)Solve the following LPP by graphical method

Maximize

Subject to

 

 

 

  1. (a) The owner of a small machine shop has four mechanics available to assign jobs for the day. Five jobs are offered with expected profit for each mechanic on each job which are as follows:

Job

Mechanic A B C D E
1 62 78 50 101 82
2 71 84 61 73 59
3 87 92 111 71 81
4 48 64 87 77 80

Find by using the assignment method, the assignment of mechanics to the job that will result in a maximum profit. Which job should be declined?

 

(or)

(b) (i) Write the algorithm for processing n jobs on 3 machines.

(ii) Find the sequence that minimizes the total elapsed time required to complete the following task on the machines in the order 1-2-3. Find also the minimum total elapsed time (hrs) and the idle time on the machines.

Task A B C D E F G
Machine 1 3 8 7 4 9 8 7
Machine 2 4 3 2 5 1 4 3
Machine 3 6 7 5 11 5 6 12

 

  1. (a) Construct the network for the project whose activities are given below and compute the total, free and independent float for each activity and hence determine the critical path and the project duration.
Activity 1-2 1-3 1-5 2-3 2-4 3-4 3-5 3-6 4-6 5-6
Duration (days) 8 7 12 4 10 3 5 10 7 4

(or)

(b)  The following table shows the job of a network along with their time estimates.

Job 1-2 1-6 2-3 2-4 3-5 4-5 5-8 6-7 7-8
t0 1 2 2 2 7 5 3 5 8
tm 7 5 14 5 10 5 3 8 17
tp 13 14 26 8 19 17 9 29 32

Draw the project network and find the probability that the project is completed in 40 days. [given that].

 

  1. (a) The following time cost applies to a project. Use it to arrive at the network associated with completing the project in the minimum time at minimum cost.
                      Normal                Crash
Activity Time (days) Cost (Rs) Time (days) Cost (Rs)
1-2 2 800 1 1400
1-3 5 1000 2 2000
1-4 5 1000 3 1800
2-4 1 500 1 500
2-5 5 1500 3 2100
3-4 4 2000 3 3000
3-5 6 1200 4 1600
4-5 3 900 2 1600

(or)

 

 

 

(b)  (i) The demand for an item is 12,000 per year and shortages are allowed. If the unit cost is Rs. 15 and the holding cost is Rs. 20 per year per unit. Determine the optimum total yearly cost. The cost of placing one order is Rs. 6000 and the cost of one shortage is Rs. 100 per year (ii) Define lot-size inventories.

 

  1. (a) (i) A newspaper boy buys paper for 30 paise each and sells them for 70 paise. He cannot return unsold newspaper. Daily demand has the following distribution.
No of customers 23 24 25 26 27 28 29 30 31 32
Probability 0.01 0.03 0.06 0.10 0.20 0.25 0.15 0.10 0.05 0.05

If each boys demand is independent of the previous days how many papers should he order each day?

(ii) State the reasons for maintaining inventory.

 

(or)

 

(b) Let the value of the money be 10% per year and suppose that machine A is replaced after every 3 years whereas machine B is replaced after every 6 years. The yearly cost of both machines is given as under:

Age 1 2 3 4 5 6
Machine A 1000 200 400 1000 200 400
Machine B 1700 100 200 300 400 500

Determine which machine should be purchased?

 

SECTION C

Answer any TWO questions.                                                                       (2 x 20 = 40)

 

  1. (a) Use simplex method to solve the LPP

Maximize

Subject to

 

(b)  Find the optimal solution for the following transportation problem using Modi method.                                               Destination

1 2 3 4 Supply
1 14 56 48 27 70
2 82 35 21 81 47
3 99 31 71 63 93
Demand 70 35 45 60 210

 

 

Origin

 

        (10 + 10)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  1. (a) We have five jobs, each of which must go through the two machines A and B in the order AB. Processing times in hours are given in the table below.
Job 1 2 3 4 5
Machine A 3 8 5 7 4
Machine B 4 10 6 5 8

(c) the following data is pertaining to a project with normal time and crash time.

                      Normal                Crash
Activity Time (hrs) Cost (Rs) Time (hrs) Cost (Rs)
1-2 8 100 6 200
1-3 4 150 2 350
2-4 2 50 1 90
2-5 10 100 5 400
3-4 5 100 1 200
4-5 3 80 1 100

            (i)         If the indirect cost is Rs.100 per day find the least cost schedule.

(ii)        What is the minimum duration?                                                    (7 + 13)

 

  1. (a) Define Lead time and Reorder level.

(b) The annual demand for an item is 3200 units. The unit cost is Rs. 6/- and inventory carrying charges 25% per annum. If the cost of one procurement is    Rs. 150/- determine (i) Economic order quality (ii) time between two consecutive orders             (iii) number of order per year (iv) the optimal total cost.

(c) A taxi owner estimates from his past records that the costs per year for operating a taxi whose purchase price when new is Rs. 60,000 are as given below:

Age 1 2 3 4 5
Operating Cost (Rs) 10,000 12,000 15,000 18,000 20,000

After 5 years, the operating cost is Rs.6000k where k = 6, 7, 8, 9, 10 (k denoting age in years). If the resale value decreases by 10% of purchase price each year, what is the best replacement policy? Cost of the money is zero.                                        (4 + 8 + 8)

 

 

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Loyola College B.Sc. Computer Science Nov 2006 Programming In C Question Paper PDF Download

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                        LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – COMPUTER SCIENCE

AK 02

FIRST SEMESTER – NOV 2006

CS 1501 – PROGRAMMING IN C

 

 

Date & Time : 01-11-2006/1.00-4.00    Dept. No.                                                       Max. : 100 Marks

PART – A
Answer all the questions: (10 x 2 = 20)

 

  1. Mention the symbols used in flowchart.
  2. List any four library functions in C.
  3. Differentiate between getchar and gets function.
  4. What is the use of break statement?
  5. What is the use of return statement?
  6. Differentiate between strcmp() and strcpy().
  7. What is pointer? How do you declare a pointer variable?
  8. Differentiate between structure and arrays.
  9. What is a file?
  10. Write the syntax for opening and closing a file.

PART – B
Answer all the questions: (5 x 8 = 40)

 

11.a) i) Explain the problem definition phase with examples.

  1. ii) Explain any 4 data types in C.

(Or)

  1. b) Enumerate the various operators in C.

12.a)  Explain while and do-while and write programs demonstrating

those looping statements.

(Or)

  1. Write a C program to display the fibonacci series for n numbers.

13.a)  Explain the concept of ‘call by value’ and ‘call by reference’ with examples.

(Or)

  1. b) Write a C program to demonstrate any 4 string functions using switch case.
  2. a) Explain how pointers are used with arrays. Explain with an example.

(Or)

  1. b) Write a C program to enter student number, student name, and marks in two

subjects and calculate the total and average and display the same using

structures.

  1. a) Write a C program to enter employee number, employee name, basic pay

and store them in a file.

(Or)

  1. b) Explain the various input and output statements used in files.

PART – C
Answer any two questions: (2 x 20 = 40)

 

  1. a) Explain the steps that are involved in computer programming.
  2. b) Explain the different types of ‘if’ statements with examples.
  3. a) Write a C program to find the transpose of a given matrix.
  4. b) How will you pass arrays to functions? Explain with examples.
  5. a) How will you access a variable in a structure using pointers. Explain with

example.

  1. b) Explain External variables and static variables with examples.

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