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Bca first sem 2018 - failure is not the end
Bachelor of Computer Applications (BCA2020)
Mahatma Gandhi University
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QP CODE: 18103706 Reg No : ..................... Name : .....................
UNDERGRADUATE(CBCS) EXAMINATION, DECEMBER 2018
First Semester Common Course - EN1CCT01 - ENGLISH - FINE - TUNE YOUR ENGLISH (Common for all U Programmes) 2018 Admission Only B27AC Maximum Marks: 80 Time: 3 Hours Part A Answer any ten questions. Each question carries 2 marks.
Write two sentences containing adverb phrases
(a) He is not so clever___________________. (b) He ran so fast ________(complete with an adverb clause)
(a) There _____ an art exhibition in the college tomorrow. (b) There ______ four choices to the question. (Use the appropriate form of "be")
(a)The boy teased the dog. (b) My father will write a letter.(Turn the sentences into passive voice)
I have to reach the office (by 9,usually). (Insert adverb in suitable positions)
(a) I like to live in open air. (b) Neil Armstrong was first man to walk on moon. ( Insert article where necessary)
Write two animal cry words and use them in sentences of your own.
Use the following in sentences of your own to highlight their difference: carry out; carry over
Convert the following into their opposites by prefixation .(a) incline. (b) manage
Use the following in sentences of your own. (a) horse sense. (b) to go to the dogs
(a)He calls his mother everyday. (b) She knows how to knit. ( Negate the sentences)
(a)She doesn’t work in a hotel,? (b) You don’t like spicy food,_? ( Add question tag) (10×2=20) Part B Answer any six questions. Each question carries 5 marks.
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QP CODE: 18103823 Reg No : .....................
Name : .....................
B.Sc(CBCS)EXAMINATION, DECEMBER 2018
First Semester Core Course - CS1CRT02 - METHODOLOGY OF PROGRAMMING AND C LANGUAGE (Common to B Computer Applications Model III Triple Main, B Computer Science Model III, B Information Technology Model III, Bachelor of Computer Application) 2018 Admission only AD9C Maximum Marks: 80 Time: 3 Hours Part A Answer any ten questions. Each question carries 2 marks.
What is a low level language?
List out the characteristics of a good programming language.
Explain (i) Runtime error (ii) Logical error
What is a variable? What are the rules for naming a variable?
What are conditional operators?
Explain the use of puts() statement
What is the use of exit()?
What are the differences between arrays and structures?
Explain * operator and & operator with example.
What are actual parameters and formal parameters?
What is array of structure? Give example.
What is the advantage of using enumerated data type?
(10×2=20) Part B Answer any six questions. Each question carries 5 marks.
Explain Linker.
Draw a flowchart to find factorial of a number.
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Why do you mean by type modifier? What are the different type conversions possible in C? Explain with example
How switch statement is executed in C program? Give example.
Write a C program to perform the functions of arithmetic operations of a calculator using switch statement.
Write C program to sort a one dimensional array of integers in ascending or descending order based on users choice.
Explain the concept of pointer to array.
What is recursion? What are the advantages and disadvantages of recursion?
Explain the different dynamic memory allocation functions
(6×5=30) Part C Answer any two questions. Each question carries 15 marks.
Explain the following a) Factors for selecting a language. b) Control structures used in programming languages.
Explain different tokens in C language
Explain strings and its memory representation. Write a C program to count the number of vowels in a string
a) What are the different Storage classes in C? B) Write down the arithmetic operations with Pointers.
(2×15=30)
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Part B Answer any six questions. Each question carries 5 marks.
- Neither my brother nor I _______ gone to school (Insert the appropriate form of 'have') 2. Jerry is one of those students who __________ the homework because he leaves early (Insert the suitable form of 'miss') 3. Media ______ an important role in our daily decisions (Insert the suitable form of 'play') 4 Sheena or her brother _______ coming for the programme today (Insert the suitable form of 'be') 5. If you_____ hard,you will succeed. (Insert the suitable form of 'work')
Correct the following sentences.
- Are you going on train? 2 books are there in my table.
- I got your letter on last Friday.
- He is the taller among the two.
- She suffers insomnia.
Insert the past or the present perfect tense (whichever is correct) of the verb given at the end.
- We _______ to the theatre last evening (go)
- It ____ every day this week.(rain).
- It ______ me nearly an hour to get here this morning.(take)
- No one __________ from him for the past six months.(hear).
- We came here in 1935 and ________here ever since.(live)
Fill in the blanks with either the plain noun given at the end of the sentence, or the noun preceded by 'the'.
- Some coins are made of _____ and some of _______( silver, copper)
- ______ in that stream is not good for drinking.(water)
- Many great ships crossed _______(Atlantic Ocean)
- He came for an hour, but stayed all________(evening)
Write the correct form of the pronoun in the following sentences.
- We scored as many goals as (they,them)
- Rama and (I, me) were present at the meeting.
- It isn't for such as (they, them) to dictate to us.
- Let you and (I, me) try what we can do.
- Nobody but (he, him) was present.
Mention five animal-gait words and use them in sentences of your own.
Give the possible word that may be derived out of affixation in the following words.
- duty 2 3. music 4 5. institute
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List a few polite expressions.
Frame five alternative questions.
(6×5=30) Part C Answer any two questions. Each question carries 15 marks.
Write an applicatiton for the post of a Personal Secretary to the CM. Enclose your resume
A are the Panchayath Member of your Ward. Write a telephone conversation between you and the District Medical Officer of the General Hospital in your vicinity about holding a blood donation camp in your locality. B. Wrtie a short welcome speech that you, as the Panchayath Secretary of your ward, would deliver on the inauguration of the Blood Donation Camp.
Write an essay stating your views on the impact of social media on contemporary social events
A a letter to a friend describing how you spent your summer vacation. Write an essay on the influence of Tv on our Lives. (2×15=30)
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- Compute Sd for the following data:
Marks 10 20 30 40 50 60 No students 4 7 15 8 7 2
Explain how will you fit an exponential curve?
Find the correlation coefficient between X and Y from the following:
X 3 1 4 7 8 9 2 6 5 Y 4 2 3 6 5 8 1 7 9
State modern definition of probability are the properties of probability?
State addition theorem for two events and deduce the result for three events
An unbiased die is thrown the probability distribution for it.
A random variable X has the pdf f(x)= c/(1+x 2 ). Find the value of c
(6×5=30) Part C Answer any two questions. Each question carries 15 marks.
- Find mean,median for the following data and obtain mode graphically:
Marks 10-19 20-29 30-39 40-49 50-59 60- f 20 45 26 13 11 15
- Fit a straight line using the method of least squarers to the following data:
X 1 2 3 4 5 6 7 8 9 10 Y 52 58 65 70 75 81 87 95 102 108.
Given A,B,C are independent events. P(A)=0,P(B)=0 and P(C)=0.4 the probability for (a) all occuring (b)none occuring (c)Atleast one occuring (d)Exactly one occuring
Briefly explain mean ,variance and mgf of a random variable state their properties.
(2×15=30)
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QP CODE: 19101224 Reg No : .............. Name : ..............
B.Sc (CBCS) EXAMINATION, DECEMBER 2018 First Semester Complementary Course - MM1CMT03 - MATHEMATICS - DISCRETE MATHEMATICS (I) (Common to B Computer Science Model III, Bachelor of Computer Application) 2017 Admission (Reappearance) 219D3EDB Maximum Marks: 80 Time: 3 Ho Part A Answer any ten questions. Each question carries 2 marks.
Construct the truth table of
Name the rule of inference which is used in the arguement "If it rains today, then we will not have a Bar be que today" "If we do not have a Bar be que today, then we will have a Bar be que tomorrow" Therefore, "if it rains today then we will have a Bar be que tomorrow"
State Universal generalisation and existential instantiation
Let m be a positive integer. The integers a and b are congruent modulo m iff there is an integer k such that a = b+km
State Goldbach's conjecture.
Let m be a positive integer and let a, b and c be integers. If
Define a relation R from A to itself. Give an example.
Draw the diagraph of the relation R= {(1,1), (1,3), (2,1), (2,2), (2,4), (3,1), (3,4), (4,2),(4,3),(4,4) } on the set {1,2,3,4}.
Which elements of the Poset ({2,3,5,6,18,20,21}, / ) are maximal and which are minimal? (10× Part B Answer any six questions. Each question carries 5 marks.
Which of the following sentences are propositions? What are the truth values of those that are propositions? (a) Bosten is the capital of Massachusetts. (b) Answer this question. (c) 2+3=5 (d) x+2=1 (e) Today is Monday.
Determine whether is a Tautology.
Explain Quantifiers.
If n is a composite integer, then n has a prime divisor less than or equal to
Find all solutions of
p ∨ q → p ∧ q
Define power set. Write power set of a set containing three elements. Distinguish between increasing and strictly increasing functions. Define composition of two functions. Give an example also.
ac ≡ bc (mod m) and g c d(c, m) = 1, then a ≡ b(mod m)
(p ∨ q) ∧ (¬p ∨ r) → (q ∧ r)
Distinguish between arithmetic progression and geometric progression. Show that the set of odd positive integers is a countable set. √− n− x ≡ 2 mod 3 x ≡ 1 mod 4 x ≡ 3 mod 5
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QP CODE: 18103825 Reg No : ..................... Name : .....................
BCA DEGREE(CBCS)EXAMINATION, DECEMBER 2018
First Semester Bachelor of Computer Application Complementary Course - ST1CMT31 - BASIC STATISTICS AND INTRODUCTORY PROBABILITY THEORY 2018 Admission only C7F554E Maximum Marks: 80 Time: 3 Hours Part A Answer any ten questions. Each question carries 2 marks.
What are cumulative frequency curves?
What are partition values?
Find the range for the series 43, 25, 18, 29, 9, 69, 71.
What is curve fitting?
Write down the equation of a straight line by explaining the terms used.
Comment on the result: byx=-0 and bxy=0.
Distinguish between sure event and impossible event.
What is the probability of selecting a boy from a class containing 4 Boys and 3 girls?
What are prior probabilities?
What is cumulative probability function?
Find the expectation of X if f(x)=30x4 0≤x≤1.
Write down the formula for mean,SD and mgf of a continuous randomvariable.
(10×2=20) Part B Answer any six questions. Each question carries 5 marks.
- Draw a histogram and super impose on it the frequency polygon
Mid value 15 25 25 45 55 65 75 Frequency 9 25 38 35 18 12 5
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- Find mean and median for the following:
Class 0-10 10-20 20-30 30-40 40- f 12 17 22 18 11
Find coefficient of variation for the following 43,25,18,29,9,52,69,71,50,10.
What is a scatter diagram? From the scatter diagram how do you infer the nature of relationship between the variables?
How to identify the two regression lines?
Explain statistical regularity and frequency approach to probability
Define conditional probability and statistical independence.
From the following mass fuction ,obtain the value of c and distribution function
X 0 1 2 3 4 5 6 7 8 P(x) c 3c 5c 7c 9c 11c 13c 15c 17c
- Define the terms Expectation and Variance of discrete randomvariables.
(6×5=30) Part C Answer any two questions. Each question carries 15 marks.
- Find SD and coefficient of variation :
Class 10-15 15-20 20-25 25-30 30- frequency 5 20 47 38 10
- Calculate the coefficient of correlation from the following data:Also obtain the equations of the regression lines.
X 1 2 3 4 5 6 7 8 9 Y 9 8 10 12 11 13 14 16 15
A bag contains 8 balls,identical except for colour of which 5 are red and 3 white man draws two balls at random one after another with out replacement. What is the probability that (1) one of the ball drawn is white and other red (2) What would be the value of these probabilities if a ball drawn is replaced before another ball is drawn.
(a) State the properties of mathematical expectation (b)Find the expectation and variance of
f(x)=30x 4 (1-x) for 0<x< (2×15=30)
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Show that.
Show that the premises ' A student in the class has not read the book' and ' Everyone in this class passed the first exam' imply the conclusion ' Someone who passed the first exam has not read the book'.
What are the different set operations? Explain using Venn diagrams.
Define the identity function on a set A. Show that it is a bijection.
Let .Show that the collection of sets forms a partition of S the ordered pairs in the equivalence relation R produced by this partition.
Determine whether the posets with these Hasse Diagrams are lattices.
Solve the equation ,given that its roots are in AP.
Find the equation whose roots are the roots of the equation each diminished by 2. (6×5=30) Part C Answer any two questions. Each question carries 15 marks.
(a) Construct the truth table for the following compound propositions:
(b) Use truth table to establish which of the following statements are tautologies, which are contradictions and which are contingencies.
a) State and prove distributive laws for three sets b) Let R be the relation on the set of all people who have visited a particular Web page such that xRy if and only if person x and person y have followed the same set of links starting at this Web page (going from Web page to Web page until they stop using the Web. Show that R is an equivalence relation.
- Describe the terms Equivalence relation and Equivalence class.
- Let m be a positive integer with m > 1 that the relation is an equivalence relation.
a) Solve? b) Solve? (2×15=30)
¬∀x[P (x) → Q(x)] ≡ ∃x[P (x) ∧ ¬Q(x)]
S = {1, 2, 3, 4, 5, 6} A 1 = {1, 2, 3} , A 2 = {4, 5} and A 3 = {6}
x 3 − 6 x 2 + 13x − 10 = 0 x 4 − 5 x 3 + 7 x 2 − 17x + 11 = 0
(i)(p ↔ q) ⊕ (¬p ↔ ¬r) (ii)(p ⊕ q) → (p ∧ q).
(i)(p → q) ↔ (¬p ∨ q) (ii)(p ∧ ¬q) ∧ (¬p ∨ q) (iii)[(p → q) ∧ ¬p] → ¬q A, B, C
R = { (a, b) : a ≡ b (mod m) }
x 4 + 2 x 3 − 7 x 2 − 8x + 12 = 0 3 x 5 − 10 x 4 − 3 x 3 − 3 x 2 − 10x + 3 = 0
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QP CODE: 18103824 Reg No : ..................... Name : .....................
B.Sc(CBCS)EXAMINATION, DECEMBER 2018 First Semester Complementary Course - MM1CMT03 - MATHEMATICS - DISCRETE MATHEMATICS (I) (Common to B Computer Science Model III, Bachelor of Computer Application) 2018 Admission only A9D52F Maximum Marks: 80 Time: 3 Hours Part A Answer any ten questions. Each question carries 2 marks.
Construct the truth table of
Prove is a tautology.
Define Universal Quantifier. Give example.
Find 'a div m' and 'a mod m' when (a) a = 228, m = 119 (b) a = 9009, m = 223
Give an example of Public key Cryptography
Define linear congruences
List the ordered pairs in the relation R from A = {0,1,2,3,4} to {0,1,2,3} where (a,b) R if and only if (i) a = b (ii) a > b
Define a partition of a set.
What do you mean by Hasse diagram of a partial order? (10×2=20) Part B Answer any six questions. Each question carries 5 marks.
Show that are not logically equivalent.
State and prove hypothetical syllogism
Show that the premises " Everyone in this discrete mathematics class has taken a course in Computer Science " and " Marla is a student in this class " imply the conclusion " Marla has taken a courst in Computer Science"
p ⊕ p ∨ q
(p ∧ q) → (p ∨ q)
Define cartesian product of two sets. What is the Cartesian product A x B, if A = {a,b,c}and B = {1,2}
Distinguish between one - to- one and onto functions.
Find ∑ 100 k=50 k 2
∈
∃x[p(x) ∧ q(x)]and∃xp(x) ∧ ∃xq(x)
Find ∪∞ i=1 Ai and ∩∞ i=1 Ai for every positive integers i where Ai= [-i, i].
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Bca first sem 2018 - failure is not the end
Course: Bachelor of Computer Applications (BCA2020)
University: Mahatma Gandhi University
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