In what way can you use the input and output streams to enter and display the values?

What do you mean by library classes? Write any five library classes.

Write a menu-driven program to perform the following tasks by using the Switch case statement:

a)      To print the series:
       0, 3, 8, 15, 24, …………. to n terms. (value of ‘n’ is to be an input by the user)
b)      To find the sum of the series:
       S = 1/2 + 3/4 + 5/6 + 7/8 + ………… + 19/20

Write a menu-driven program to accept a number from the user and check whether it is a Prime number or an Automorphic number.

a)      Prime number: (A number is said to be prime if it is divisible by 1 and itself).
     Example: 3, 5, 7, 11 ……………..
b)      Automorphic number: (Automorphic number is the number, which is contained in the last digit (s) of it is square).
     Example: 25 is an Automorphic number as it is square is 625 and 25 is present as the last two digits.

Shasha Travels Pvt. Ltd. Gives the following discount to its customers:

Write a program to input the name and the amount of tickets for the customer. Calculate the discount and net amount to be paid. Display the output in the following format for each customer:

 (Assume that there are 15 customers, the first customer is given the serial number 1, the next customer 2, and so on).

   Write a menu-driven program to accept a number from the User and check whether it is a ‘BUZZ’ number or to accept any two numbers and print the ‘GCD’ of them.
a)      A ‘BUZZ’ number is a number that either ends with 7 or is divisible by 7.
b)      GCD (Greatest Common Divisor) of two integers is calculated by the continued division method. Divide the larger number by the smaller, the remainder then divides the previous divisor. The process is repeated till the remainder then zero. The divisor then results from the GCD.

Write a program to generate a triangle or an inverted triangle till n terms based upon the User’s triangle are displayed.

A class teacher wants to know the performance of the students of her class in Science (Physics, Chemistry, Biology). Write a program to accept marks in Physics, Chemistry and Biology of each student. Calculate the average and count how many of than have secured 90% or more (on average) in the class having 45 students. 

Write a Program to simulate a game of throwing dice 10 times, 100 times and 1000 times. Print the score obtained in each category.

A game of throwing dice is played between two players in which, each player throws a dice unless his score adds up to 20. A player is declared ‘Winner’ with the minimum number of throws. Write a program to perform the task given above.

     Some answer scripts with scores 0 to 99 awarded after marking are to be searched for finding:
a)      Number of answer scripts marked;
b)      Percentage of candidates getting 85 and above;
c)      Percentage of candidates getting 39 or less;
d)      Write a Java program to take the scores as inputs and then output the three quantities required.

   The Sum of the cubes of the natural numbers is given by the following formula:
1³ + 2³ + 3³ + ……….. + n³
       = [n (n+10)/2]²
It is intended to write a program to compute the value of S, where

S = 3³+ 4³+ 5³+ ……… + n³

a)    State :
a.       The variable whose value is to be taken as input.
b.      The variable whose value is to be obtained as input.
b)      Break up the processing job into four sequential steps and write those steps.
c)      Write a program in JAVA to find S.

A computerized ticket counter of an underground metro rail station charges for each ride at the following rate:

Write a program in Java, which takes as input the number of people of various age groups and prints a ticket. At the end of the journey, the program states the number of passenger of different age groups who travelled and the total amount receives as collection of fares.

A computer company has 96 employees who are divided into 4 grades as per their basic pay as the following:

 If the salary, which is the total of Basic, D.A. and H.R. is above Rs. 50,000 per annum then income tax at the rate of 30% of the annual salary exceeding Rs. 50,000 is deducted on monthly basic at source. Taking the name of the employee and the basic (monthly) pay as inputs a pay slip for each employee is to be printed. Write a program in Java to perform the job. 

   In an election, out of 1249 voters in a booth, only 861 voters used their franchise correctly. If five candidates are contesting, write a program in Java to find:
a)      The number of invalid and valid votes and
b)      The percentage of the valid votes received by each candidate.

On the basic sale, a pharmaceutical company announces the following new tariff of commission for their Medical Representatives and Distributors.

Write a program to accept monthly sales from 50 different representatives along with their distributors. Calculate their commissions and display the output in the given format:

     Write a program to find the sum of the given series:
a)      S = a + a²/2 + a³/3 + ………… + aⁿ/n
b)      S = a + a/2! + a/3! + ………… + a/n!
c)      S = a/2 + a/4 + a/8 + ……….. to n
d)      S = 1 - a/2 + 3 - a/4 + 5 - a/6 + ………….. to n
e)      S = a/2! - a/3! + a/4! + a/5! + …………. + a/20!
f)       S = (a+1) + (a+2) + (a+3) + ……………. + (a + n)
g)      S = a+1/3 + a+2/5 + a+3/7 + ……….. to n
h)      S = a/2 + a/5 + a/8 + a/11 + ………….. a/20
i)        S = 1/a +2/a² + 3/a³ + ………… n/aⁿ
j)        S = a¹ - a³/5 + a⁵/9 - a⁷/13 …………… to n

   Write a program in Java to find the sum of the given series:
a)      S = 9 + 99 + 89 + 7 + ………….. to n
b)      S = 1 + 1 + 2 + 3 + 5 + ……….. to n terms
c)      S = 2 – 4 + 6 – 8 + ………. to n
d)      S = (1*2) + (2*3) + ………. + (19*20)
e)      S = 1 + (1+2) + (1+2+3) + ……….. + (1+2+3+……. + n)
f)       S = 1 + (1*2) + 2 + (1*2*3) + 3 ………. + 9 + (1*2*3*………..10)
g)      S = 1! + 2! + 3! + 4! + …………. to n terms
h)      S = 1/2 + 2/3 + 3/4 + ……… to n terms
i)        S = 1 + 3/4 + 5/9 + ……… to n terms
j)        S = 2/3 - 4/5 + 6/7 - 8/9 + ………… to n

Write a program to accept two numbers and check whether they are twin prime or not.
[Hint: Twin prime numbers are the prime numbers whose difference is two. E.g.:(5,7),(11,13)……..]

Write a program to accept two numbers and find the Lowest Common Multiple (LCM) of the numbers.
[Hint: LCM = Product of two numbers/HCF]