- Input a number to check for prime number or perfect number. Design a program to create a class perfect having two functions, one as prime(int a) another as perfect(int b)[A prime number has only two factors, 1 and itself.
A perfect numbers sum of factors is equal to the number. ]
Example 1:
INPUT
Enter number
7
OUTPUT:
It is a prime number
It is not a perfect number.
Example 2:
INPUT
Enter number
6
OUTPUT:
It is not a prime number
It is a perfect number.
2. Design a program to accept any number and print its Fibonacci series, where the number entered should be between 10 to 50 if the entered number is not inside the range then print relevant message.
Example 1:
INPUT
Enter number between 10 to 50
15
OUTPUT:
1, 1, 2, 3, 5, 8, 13
Example 2:
INPUT
Enter number
52
OUTPUT:
Invalid output
3. Design a program to create an array of integers, size should be entered by the user(between 5 to 20). And sort the array in ascending order. with any sorting technique [Bubble sort or selection sort]
Example 1:
INPUT
Enter number between 5 to 20
5
Enter numbers
23, 4, 58,32, 100
OUTPUT:
Array before sorting
23, 4, 58, 32, 100
Array after sorting
4,23,32,58,100
Example 2:
INPUT
Enter number between 5 to 20
32
OUTPUT:
Invalid Input
4. The International Standard Book Number (ISBN) is a unique numeric book identifier which is printed on every book. The ISBN is based upon a 10 digit code. The ISBN is legal if :
1 x digit1 + 2 x digit2 + 3 x digit4 + 4 x digit4 + 5 x digit5 + 6 x digit6 + 7 x digit7 + 8 x digit8 + 9 x digit9 +
10 x digit10 is divisible by 11.
Example: For an ISBN 1401601499
Sum = 1 x 1 + 2 x 4 + 3 x 0 + 4 x 1 + 5 x 6+ 6 x 0+ 7 x 1+ 8 x 4 + 9 x 9 + 10 x 9 = 253 which is divisible by 11.
Write a program to :
i) Input the ISBN code as a 10 – digit integer.
ii) If the ISBN is not a 10 digit integer, output the message, “Illegal ISBN” and terminate the program.
iii) If the number is 10-digit, extract the digits of the number and compute the sum as explained above. If the sum is divisible by 11, output the message, “Legal ISBN”. If the sum is not divisible by 11, output the message, “Illegal ISBN”.
