For this section, many methods are given. They however contain errors. Some errors are syntax error while others are logical error. The main method contains test that will execute the two other methods and verify if they work properly.

The method isPrime checks if the number received as an argument is a prime number. A prime number is a number bigger then $1$ that can only be divided by $1$ or itself.

The Fibonacci method takes a number as argument and returns the value at this position in the Fibonacci series. In the Fibonacci series, each number is the sum of the two preceding position in the series. The position $0$ has the value $0$ and the position $1$ has the value $1.$ This table describes the series:

position $0123456789$

Value $0112358132134$

public class Q$5\{$

public static void main$($String$[]$ args$)\{$

boolean$[]$ test $=$ new boolean$[8]$;

$//$test for isPrime

test$[0]=($isPrime$(0)==$ false$)$;

test$[1]=($isPrime$(2)==$ true$)$;

test$[2]=($isPrime$(7)==$ true$)$;

test$[3]=($isPrime$(15)==$ false$)$;

test$[4]=($getFibonacci$(1)==1)$;

test$[5]=($getFibonacci$(3)==2)$;

test$[6]=($getFibonacci$(5)==5)$;

test$[7]=($getFibonacci$(8)==21)$;

boolean testFlag$=$true;

for $($int i $=0$; i $<$ test.length; i$++)\{$

if$($test$[$i$])\{$

System.out.println$("$test $"+$ i $+"$ passed"$)$;

$\}$ else $\{$

System.out.println$("$test $"+$ i $+"$ failed"$)$;

testFlag $=$ false;

$\}$

$\}$

if$($testFlag $)\{$

System.out.println$("$All tests are successful"$)$;

$\}$ else $\{$

System.out.println$("$Not all tests are successful"$)$;

$\}$

$\}$

$//$method that determines if the number x is prime

public static boolean isPrime$($int x$)\{$

boolean prime $=$ true;

if$($x $<)\{$

prime $=$ ;

$\}$

if$($x$==)\{$

prime $=$ ;

$\}$

int i $=2$;

while$($prime && x $<$ i$)\{$

if$($x $\%$ i $==0)\{$

prime $=$ false;

$\}$

i$++$;

$\}$

return prime;

$\}$

$//$returns the fibonacci number at the position in parameter

public static int getFibonacci$($int position$)\{$

int num $=0$;

int num$2=1$;

int fibonacci $=0$;

if $($position $==)\{$

fibonacci $=0$;

$\}$ else if $($position $==1)\{$

fibonacci $=$ ;

$\}$ else $\{$

for $($int i $=2$; ; $)\{$

fibonacci $=$ ;

num $=$ num$2$;

num$2=$ fibonacci;

$\}$

$\}$

return num;

$\}$

$\}$

You need to correct the code above until all tests pass successfully and that you get the following output message: