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Search & Filtering

1.    The manager of a supermarket collected the data of 25 customers on a certain date. Out of them 5 purchased Biscuits, 10 purchased Milk, 8 purchased Fruits, 6 purchased both Milk and Fruits.

Let B represents the randomly selected customer purchased Biscuits, M represents the randomly selected customer purchased Milk and F represents the randomly selected customer purchased Fruits.

Represent the given information in a Venn diagram. Use that Venn diagram to answer the following questions.

a)       Find the probability that a randomly selected customer either purchased Biscuits or Milk.

b)      Show that the events “The randomly selected customer purchased Milk” and “The randomly selected customer purchased Fruits” are independent.



You have five 10.0 F capacitors. Show all possible connections of all five capacitors to produce an equivalent capacitance of


a. 50.0 F

b. .5 F

c. 35 F​


Write a program in C++ that reads some text entered through the keyboard till the end of 

file (eof) character is entered. The words in the text are written to different text files as per 

the following conditions:

• The words beginning with any of the lowercase vowels (a, e, i, o, u) are written to 

a file fileV.txt.

• The words beginning with a digit (0 – 9) are written to a file fileD.txt.

• All other words are written to a file fileRest.txt.


What happens when a long, straight conductor is moved through a uniform magnetic field at constant velocity? Assume that the conductor moves perpendicular to the field.

why the dilution process is accompanied by energy absorption?


Using visual studio (C#) to create a program, name it PRGYOURNAMEFA1, that implements a search and replace function recursively. Your program should allow a user to enter a string , a substring to be replaced in the entered string and a character/s to replace the found substring


Program Structure


1. A main class that implements the logic of the program – name this class TestSearchReplace


2. Add a class named SearchReplace to the main class with two methods, including:


a. SearchSubstring()- return method


b. ReplaceSubString() - void method


The two method should be called using an object in the main class. DONT CREATE THE TWO METHODS IN THE MAIN CLASS


Sample Output



Give the inverse, converse and contrapositive for each of the following propositions.

a) If x + y = 1 then x2 + y2 ≥ 1

b) If 2 + 2 = 4 then 3 + 3 = 8


Determine whether the following are propositions. Give the truth value of the propositions.

a) Asia is the largest of the Earth’s seven continents.

b) 4 + x = 5

c) 2 * 3 = 5

d) Answer this question

e) The human heart is shaped like an upside-down pear and is located slightly to the left of center inside the chest cavity


Convert the following hexadecimal numbers to decimal numbers.

a) DE516

b) 2AB.416

Create a program using C# that implements the stream ciphers Cryptographic method . A stream cipher method inputs digits, bits, or characters and encrypts the stream of data. The onetime pad is an example of a stream cipher.


In this formative you have been requested to create an application that will work as the One-time pad (OTP), also called Vernam-cipher or the perfect cipher. This is a crypto algorithm where plaintext is combined with a random key and generate a ciphertext.



Marks allocation


1. The programme should received a string " How are you Isaac " - 10


2. The programme should generate an OTP of the length of the string entered "How are you Isaac "- 10


3. The program should Generate a Ciphertext based on the above example- 30



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