Level 1

1.

Write a program to print the sum of two numbers entered by user by defining your own method.

Answer

```
import java.util.*;
class Ans{
public static void Sum(){
Scanner s = new Scanner(System.in);
int x,y;
System.out.println("Enter a number");
x = s.nextInt();
System.out.println("Enter the another number");
y = s.nextInt();
System.out.println("Sum is "+(x+y));
}
public static void main(String[] args) {
Sum();
}
}
```

2.

Define a method that returns the product of two numbers entered by user.

3.

Write a program to print the circumference and area of a circle of radius entered by user by defining your own method.

Answer

```
import java.util.*;
class Ans{
public static void Circle(){
Scanner s = new Scanner(System.in);
int radius;
System.out.println("Enter the radius");
radius = s.nextInt();
System.out.println("Circumference is "+(2*3.14*radius)+" and area is "+(3.14*radius*radius));
}
public static void main(String[] args) {
Circle();
}
}
```

4.

Define two methods to print the maximum and the minimum number respectively among three numbers entered by user.

5.

Define a program to find out whether a given number is even or odd.

6.

A person is elligible to vote if his/her age is greater than or equal to 18. Define a method to find out if he/she is elligible to vote.

7.

Define a method to find out if number is prime or not.

Answer

```
import java.util.*;
class Ans{
public static boolean isPrime(int x){
boolean prime = true;
if(x>1){
for(int i = 2;i<x;i++){
if(x%i==0){
prime = false;
break;
}
}
}
else{
prime = false;
}
return prime;
}
public static void main(String[] args) {
System.out.println(isPrime(5));
System.out.println(isPrime(10));
}
}
```

8.

Write a program which will ask the user to enter his/her marks (out of 100). Define a method that will display grades according to the marks entered as below:

Marks Grade

91-100 AA

81-90 AB

71-80 BB

61-70 BC

51-60 CD

41-50 DD

<=40 Fail

Marks Grade

91-100 AA

81-90 AB

71-80 BB

61-70 BC

51-60 CD

41-50 DD

<=40 Fail

9.

Write a program to print the factorial of a number by defining a method named 'Factorial'.

Factorial of any number n is represented by n! and is equal to 1*2*3*....*(n-1)*n. E.g.-

4! = 1*2*3*4 = 24

3! = 3*2*1 = 6

2! = 2*1 = 2

Also,

1! = 1

0! = 0

Factorial of any number n is represented by n! and is equal to 1*2*3*....*(n-1)*n. E.g.-

4! = 1*2*3*4 = 24

3! = 3*2*1 = 6

2! = 2*1 = 2

Also,

1! = 1

0! = 0

Answer

```
import java.util.*;
class Ans{
public static int fact(int x){
if(x == 0 || x == 1){
return 1;
}
else{
return fact(x-1)*x;
}
}
public static void main(String[] args) {
System.out.println(fact(5));
System.out.println(fact(10));
System.out.println(fact(1));
System.out.println(fact(0));
}
}
```

Level 2

1.

Print the multiplication table of 15 using recursion.

Answer

```
import java.util.*;
class Ans{
public static void table(int x, int y){
if(y != 1){
table(x,y-1);
}
System.out.println(x*y);
}
public static void main(String[] args) {
table(15, 10);
}
}
```

2.

Define a method to print the prime factors of a number.

3.

Using recursion, define a method to know nth term of a Fibonacci series.

Nth term of Fibonacci series is

F(n) = F(n-1)+(n-2)

F(0) = 0

F(1) = 1

F(2) = F(1)+(0) = 1+0 = 1

F(3) = F(2)+(1) = 1+1 = 2

F(4) = F(3)+(2) = 2+1 = 3

Nth term of Fibonacci series is

F(n) = F(n-1)+(n-2)

F(0) = 0

F(1) = 1

F(2) = F(1)+(0) = 1+0 = 1

F(3) = F(2)+(1) = 1+1 = 2

F(4) = F(3)+(2) = 2+1 = 3

Answer

```
import java.util.*;
class Ans{
public static int fib(int x){
if(x == 0){
return 0;
}
else if(x==1){
return 1;
}
else{
return fib(x-1)+fib(x-2);
}
}
public static void main(String[] args) {
System.out.println(fib(0));
System.out.println(fib(1));
System.out.println(fib(2));
System.out.println(fib(3));
System.out.println(fib(4));
}
}
```

4.

Define a method named 'perfect' that determines if parameter number is a perfect number. Use this function in a program that determines and prints all the perfect numbers between 1 and 1000.

[An integer number is said to be "perfect number" if its factors, including 1(but not the number itself), sum to the number. E.g., 6 is a perfect number because 6=1+2+3].

[An integer number is said to be "perfect number" if its factors, including 1(but not the number itself), sum to the number. E.g., 6 is a perfect number because 6=1+2+3].

5.

Define a method to calculate power of a number raised to other i.e. a^{b} using recursion where the numbers 'a' and 'b' are to be entered by the user

Answer

```
import java.util.*;
class Ans{
public static int pow(int a, int b){
if(b==1){
return a;
}
else{
return(a*pow(a,b-1));
}
}
public static void main(String[] args) {
int a,b;
Scanner s = new Scanner(System.in);
System.out.println("Enter the value of a and b for a^b");
a = s.nextInt();
b = s.nextInt();
System.out.println(pow(a,b));
}
}
```

6.

Write a program that takes as input your gross salary and your total saving and uses another function named taxCalculator() to calculate your tax. The taxCalculator()
function takes as parameters the gross salary as well as the total savings amount. The
tax is calculated as follows:

(a) The savings is deducted from the gross income to calculate the taxable income. Maximum deduction of savings can be Rs. 100,000, even though the amount can be more than this.

(b) For up to 100,000 as taxable income the tax is 0 (Slab 0); beyond 100,000 to 200,000 tax is 10% of the difference above 100,000 (Slab 1); beyond 200,000 up to 500,000 the net tax is the tax calculated from Slab 0 and Slab 1 and then 20% of the taxable income exceeding 200,000 (Slab 2); if its more than 500,000, then the tax is tax from Slab 0, Slab 1, Slab 2 and 30% of the amount exceeding 500,000.

(a) The savings is deducted from the gross income to calculate the taxable income. Maximum deduction of savings can be Rs. 100,000, even though the amount can be more than this.

(b) For up to 100,000 as taxable income the tax is 0 (Slab 0); beyond 100,000 to 200,000 tax is 10% of the difference above 100,000 (Slab 1); beyond 200,000 up to 500,000 the net tax is the tax calculated from Slab 0 and Slab 1 and then 20% of the taxable income exceeding 200,000 (Slab 2); if its more than 500,000, then the tax is tax from Slab 0, Slab 1, Slab 2 and 30% of the amount exceeding 500,000.

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