Write a menu-driven class that accepts a number from the user and checks whether it is a Palindrome or a Perfect number.
        i.            Palindrome number : (A number from the user and check read in reverse order is same as in the right order).Example: 11, 101, 151, Atc.
      ii.            Perfect number: (A number is called Perfect if it is equal to the sum of its factors other than the number itself). Example: 6 = 1 + 2 + 3

Write a program to display the given pattern:

1   2   3   4   5

2   2   3   4   5

3   3   3   4   5

4   4   4   4   5

5   5   5   5   5

Write a program in Java to display the given pattern

1   2   3   4   5   6   7

1   2   3   4   5

1   2   3

1

Write a program to display the given pattern:

1

2   3

4   5   6

7   8   9   10

11   12   13   14   15

Write a program in Java to find the sum of the given series

S = 1/2 - 2/3 - 3/4 - ……… - 10/11

Write a program to find the sum of the series, taking the values of ‘a’ and ‘n’ from the user.

S = a+1/2 + a+3/4 + a+5/3 + ……… + to n

Write a program to find the sum of the series, taking the values of ‘a’ and ‘n’ from the user.

S = a/1 + a/2 + a/3 + a/4 + ………………………………… + a/n

Write a program In Java to find the sum of the series

S = 1 + (1*2) + (1*2*3) + …………… + 10 terms

Write a program in Java to find the sum of the series

S = 1+ 1/2 +1/3 + ……… +1/10

Write a program in Java to display the first 10 numbers of the Fibonacci series

0, 1, 1, 2, 3, ………

Write a program in Java to display the first eight numbers of the series

1, 11, 111, 1111, 11111, ………

In a toss game, you want to know the number of times of get ‘Head’ and ‘Tail’. You keep the record as ‘I’ (one) for getting ‘Head’ and ‘0’ (zero) for ‘Tail’. Write a program for the above task. Suppose, you have tossed a coin 20 times in this game.

You want to calculate the sum of all positive even numbers and the sum of all negative odd numbers from a set of numbers. You can enter 0 (zero) to quit the program and thus it displays the result. Write a program to perform the about task.

Write a program in Java to accept 10 different numbers and display the greatest and the smallest of the numbers.

Write a program in Java to accept a number and check whether a number is perfect or not.
A number is said to be perfect if sum of the factors (including 1 and excluding the number itself) is the same as the original number
Example: Input: 6 is a perfect number, Factors of 6 = 1, 2, 3: Thus, 6 = 1 + 2 + 3, is a perfect number.

Write a program to accept a number and check whether the number is prime or not.
[A prime number is divisible only by 1 (one) and the number itself.]

Write a program in Java to accept two numbers and find the Greatest Common Divisor (G.C.D.) of the two numbers.

Write a program in Java to find the sum of any ten natural numbers.

An electronics shop has announced the following seasonal discounts on the purchase of certain items.

Write a program based on the above criteria, to input a name, address, amount of purchase and the type of purchase (‘L’ for Laptop and ‘D’ for Desktop). Compute and print the net amount to be a customer with his name and address.

[Hint: Discount = Discount rate/100 * Amount of purchase
Net amount = Amount of purchase – Discount]

You want to buy an old car from ‘Sale and Purchase’, where you can get a vehicle at a depreciated price. The depreciation value of a car is calculated on its showroom price and the number of years it has been used. The depreciated value of a vehicle is calculated as per the tariff given below:

Write a menu-driven program to input show room price and the number of years used (‘1’ for one year old, ‘2’ for two years old) and so on. Calculate the depreciated value. Display the original price of the car, the depreciated value and the amount paid for the car.