Could you help me the following questionBelow is a recursive function written in Java that takes 2 integers and returns an integer: public static int gcd(int x, int y) { if (y == 0) return x; else return gcd(y, x/y); } Answer the following multiple choice questions. Remember that multiple answers can still apply. Based on how this code is exactly written, if we called this function with “gcd(25, 15);” from main, which of the following is true:In the first function instance of gcd, x will be 25 and y will be 15. This will not trigger the base case so a recursive function call to gcd will then occurWhen the base case is finally reached, y will be 0 and x will be 5We will be in the 4th function instance of gcd when the base case is reachedNone of the aboveIf we changed the code in the else block to “return gcd(y, x%y);”, which of the following would then be true:If we call “gcd(5,5);”, we will get an infinite loopIf we call “gcd(7,3);”, then in the first function instance of gcd, x will be 7 and y will be 3. This will trigger the base case and return 1If we call “gcd(3,7);”, we will eventually get a return value of 1 from the 4th function instance of the recursive executionNone of the aboveWhich of the following is true about recursion in general:The base case is where the recursion occurs and where we would see code that calls itselfRecursive functions can also be written using an iterative loop, though the complexity of the code may increase and we may need to incorporate using other data structures like a stackRecursive functions run faster if we use a Linked List implementation insteadNone of the above

A recursive function is a function which calls itself. Using a recursive function, one can convert…

Answered: Could you help me the following…

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter15: Recursion

Section: Chapter Questions

Problem 8SA

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Could you help me the following question

Below is a recursive function written in Java that takes 2 integers and returns an integer:

public static int gcd(int x, int y)

{

if (y == 0)

return x;

else

return gcd(y, x/y);

}

Answer the following multiple choice questions. Remember that multiple answers can still apply.

Based on how this code is exactly written, if we called this function with “gcd(25, 15);” from main, which of the following is true:
1. In the first function instance of gcd, x will be 25 and y will be 15. This will not trigger the base case so a recursive function call to gcd will then occur
2. When the base case is finally reached, y will be 0 and x will be 5
3. We will be in the 4^th function instance of gcd when the base case is reached
4. None of the above
If we changed the code in the else block to “return gcd(y, x%y);”, which of the following would then be true:
1. If we call “gcd(5,5);”, we will get an infinite loop
2. If we call “gcd(7,3);”, then in the first function instance of gcd, x will be 7 and y will be 3. This will trigger the base case and return 1
3. If we call “gcd(3,7);”, we will eventually get a return value of 1 from the 4^th function instance of the recursive execution
4. None of the above
Which of the following is true about recursion in general:
1. The base case is where the recursion occurs and where we would see code that calls itself
2. Recursive functions can also be written using an iterative loop, though the complexity of the code may increase and we may need to incorporate using other data structures like a stack
3. Recursive functions run faster if we use a Linked List implementation instead
4. None of the above

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