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Oct2021 bca first sem - failure is not the end
Bachelor of Computer Applications (BCA2020)
Mahatma Gandhi University
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QP CODE: 21102624 Reg No : .....................
Name : .....................
BCA DEGREE(CBCS)EXAMINATIONS, OCTOBER 2021
First Semester
Bachelor of Computer Application
Complementary Course - ST1CMT31 - BASIC STATISTICS AND INTRODUCTORY
PROBABILITY THEORY
2017 Admission Onwards E26EA3FD Time: 3 Hours Max. Marks : 80 Part A Answer any ten questions. Each question carries 2 marks.
What is a frequency curve?
What are functions of an average?
Find SD of the data 4, 7, 2, 6, 9, 11, 12.
Write down the regression equation of X on Y.
What is the relation between the regression coefficients when there is perfect correlation?
When correlation coefficient is one, what is the nature of the regression lines?
Explain discrete and continuous sample space.
What is relative frequency definition of probability?
State addition theorem for any two events.
What are the properties of probability mass functions?
If f(x) =2x for 0.
Can a random variable X .have the following probability density : f(x) = x, 0. (10×2=20) Part B Answer any six questions. Each question carries 5 marks.
Draw a histogram for the following data:
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Class 0-10 10-20 20-40 40-70 70-100 100- frequency 7 14 28 34 18 2
- How will you calculate range for frequency distributions?
- How is coefficient of variation differ from standard deviation?
- Explain how will you fit a straight line using least square principle.
- Find Karl Pearson's coefficient of correlation and P
X 12 20 15 22 18 24 20 12 Y 30 35 28 36 29 39 30 25
Probability that a patient is correctly diagnosed is 0.4 a patient is correctly diagnosed he will survive is 0. What is the probability that a patient is correctly diagnosed and survived?
State and prove multiplication theorem for two events the result for three events.
Find E(X) and V(X) for f(1)=1/4, f(2)=1/2 and f(3)=1/4.
Explain moment generating function of a continuous random variable by stating its important properties. (6×5=30) Part C Answer any two questions. Each question carries 15 marks.
The following table gives the age distribution of 542 workers ina company Q 1 ,Q 3 ,D 4 and P 27
Age 20-30 30-40 40-50 50-60 60-70 70-80 80- No workers 3 61 132 153 140 51 2
- Explain least square principle in curve fitting and explain how will you fit a straight line using this method.
- State and prove Baye's theorem.
- Briefly explain mean ,variance and mgf of a random variable state their properties. (2×15=30)
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Show that are logically equivalent.
Let a and b are integers and let m be a positive integer then
What are the solutions of the linear congruence
Draw the directed graph that represent each of the following relations. 1.{(a,a), (a,b), (b,c), (c,b), (c,d), (d,a), (d,b)} 2.{(a,b), (b,a), (b,b), (c,a), (c,b), (c,c)}
Let A = Set of all words in English language. The relation R on A is defined by a R b if and only if the words a & b starts with the same alphabet. Show that R is an equivalence relation. (6×5=30) Part C Answer any two questions. Each question carries 15 marks.
(a) Show that the hypothesis "if you send me an e- mail message ,then Iwill finish writting the programme " ." if you do not send me an e- mail message then I will go to sleep early" and if I go to sleep early then I will wake up feeling refreshed'. lead to the conclution "If I do not finish writing the programme then I will wake up feeling refreshed." (b) Show that the premises " A student in this class has not read the book" and " Every one in this class passed the first exam " imply the conclution " Someone who passed the first exam has not read the book".
Define One to One and Onto functions. How can we use these functions to find cardinality of sets. Illustrate with any two examples.
State and prove Chinese Remainder Theorem.
Show that 'divides / ' is a partial order on the set of integers. Draw a Hasse diagram when '/' on set {1,2,3,4,6,8,12} (2×15=30)
∀x(p(x) ∧ q(x))and∀xp(x) ∧ ∀xq(x) Draw the graph of the function f(x) =⌊ 2 x + 1⌋. Show that the set of all integers is a countable set. a ≡ b(modm) iff a mod m = b mod m 3 x ≡ 4(mod 7)
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QP CODE: 21102622 Reg No : .....................
Name : .....................
B/BCA DEGREE(CBCS)EXAMINATIONS, OCTOBER 2021
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) 2017 Admission Onwards 2D0E4A Time: 3 Hours Max. Marks : 80 Part A Answer any ten questions. Each question carries 2 marks.
List out any three factors for selecting a programming language.
Draw a flow chart to find the average of three numbers.
List the three control structures with atleast one example for each.
Differentiate between keywords and identifiers.
What are different storage class specifers in C?
Explain the use of printf() statement.
Draw the flow chart showing the execution of while loop in C.
How a matrix can be declared in C?
Differentiate between array of pointers and pointers to array.
Write the commonly used library functions in C.
What is external variable?
What is dynamic memory allocation? (10×2=20) Part B Answer any six questions. Each question carries 5 marks.
Discuss about various programming languages with its advantages and limitations.
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QP CODE: 21102505 Reg No : .....................
Name : .....................
UNDER GRADUATE ( CBCS)EXAMINATIONSS, OCTOBER 2021
First Semester
Common Course - EN1CCT01 - ENGLISH - FINE - TUNE YOUR ENGLISH
Common for all UG Programmes 2017 Admission Onwards 5D1F0F Time: 3 Hours Max. Marks : 80 Part A Answer any ten questions. Each question carries 2 marks.
- A boy stood on the burning deck.(Identify the subject.) B. Early bird catches the worm.(Identify the predicate.)
- A boy moved swiftly. B. You can buy it everywhere. (Underline the adverb in each of the sentences)
- A. Our neighbour, besides three others ______ standing in the queue. B. The man, along with his three dogs _____ taking a stroll in the park. (Use the appropriate auxilary to complete the given sentences)
- A. I ____________twenty next Saturday. B. It __________Christmas in a week from now. (Fill in the blanks in both the sentences using the simple future tense form of "be")
- A. John remained inactive. B Mary said is true. (Identify the kind of adjective)
- A is __________ useful metal. B. He is not ____honourable man. ( Fill in the blanks with suitable articles.)
- A. Every man, naturally wishes ___________distinction. B. The holy tree is associated __________scenes of goodwill and rejoicing. (Fill in the blanks using the appropriate prepositions).
- Bring out the meaning of the given idioms by using them in sentences of your own. A. an apple of discord. B. sour grapes
- Explain the difference between the following expressions. pass out; stand out
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Choose the apropriate noun suffix for the given words ( 'ant','or', 'age','ee') 1 2. account 3 4. drain
Give a couple of polite expressions to conclude a telephone conversation.
Frame two 'wh' questions. (10×2=20) Part B Answer any six questions. Each question carries 5 marks.
Repalce the adverbs (given in italics) by adverb clauses. 1. They rested at sunset. He speaks powerfully. 3. Sit somewhere. 4. The door was suspiciously open. 5. He worked persistently.
Correct the following sentences. 1. These are my sisters books. 2. The group fought between themselves. 3. He gave me a few advice. 4. The sceneries here are extremely beautiful. 5. All possible means have been tried.
Rewrite the following sentences in passive form. 1. He will finish the work in a fortnight. 2. They elected him president. 3. We compelled the enemy to surrender. 4. The young man spoiled the game. 5. You won't gain anything by fretting.
Explain the difference in meaning between the given pairs of sentences. 1. a. She made a good meal; b. She had a good meal. 2. a. She is always making complaints, b. She is always having complaints.
Form the adverbs from the given adjectives. 1. Clever 2. Wise 3. Kind 4. Single 5. Happy
- Heavy 7. Quick 8. Beautiful 9. Loud 10. Patient
What are demonstrative pronouns? Give examples.
Give five popularly used expressions with animal words.
Convert into negative form. 1. They have arrived already. 2 knows English. 3. He is still there. 4. He does his work carefully 5. The information is reliable.
Frame five rhetorical questions. (6×5=30) Part C Answer any two questions. Each question carries 15 marks.
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QP CODE: 21102407 Reg No : .....................
Name : .....................
B/BCA DEGREE(CBCS)EXAMINATIONS, OCTOBER 2021
First Semester
Core Course - CS1CRT01 - COMPUTER FUNDAMENTALS AND DIGITAL
PRINCIPLES
(Common to B Computer Applications Model III Triple Main, Bachelor of Computer Application) 2017 Admission Onwards C6717A Time: 3 Hours Max. Marks : 80 Part A Answer any ten questions. Each question carries 2 marks.
- Why most standard keyboards are called 'QWERTY' keyboards?
- List the four factors we should consider when comparing monitors.
- What is LAN?
- What is a web browser?
- Convert (127)10 to octal.
- What are the rules for BCD addition?
- Explain how NAND gate act as AND gate?
- Demorganize the expression f=((AB)'(CD+E'F)+((AB)'+(CD)'))
- Define Parity.
- Draw the truth table of a R-S flip flop
- Draw the truth table of half adder.
- What is the need of encoder? (10×2=20) Part B Answer any six questions. Each question carries 5 marks.
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Explain any two optical input devices.
Which are the different types of PC operating System?
Explain the working of Internet.
How to represent decimal numbers 0 to 15 in 4-bit binary form.
Perform the Subtraction using 2’s complement method (a) 00111010 - 00011011 (b) 00010010 - 111101111
Convert the following SOP expression to an equivalent POS expression. A’B’C’ + A’BC’ + A’BC + AB’C + ABC
Draw Kmap and simplify the following boolean expression f(A,B,C,D)=∏M(0,2,5,7,8,10,13,15)
Differentiate between Multiplexer and Demultiplexer.
Write short note on JK flip flop. (6×5=30) Part C Answer any two questions. Each question carries 15 marks.
Explain about the essential computer hardwares.
Explain the binary addition and subtraction processes with suitable example.
Explain the different logic gates with truth table and logic diagram.
With neat diagrams explain the working of following types of shift registers (a) Serial-in, Serial-out (b) Serial-in, parallel-out (c ) Parallel-in, Parallel-out (2×15=30)
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Oct2021 bca first sem - failure is not the end
Course: Bachelor of Computer Applications (BCA2020)
University: Mahatma Gandhi University
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