diff --git a/linked_list/01A-find-nth-value.rb b/linked_list/01A-find-nth-value.rb
index 8eb2709..9b62141 100644
--- a/linked_list/01A-find-nth-value.rb
+++ b/linked_list/01A-find-nth-value.rb
@@ -3,13 +3,51 @@
 #
 # Notice that this problem has no assumptions that we had in the earlier problem.
 
+require_relative 'linked_list'
+require "minitest/autorun"
+
 def value_of_nth_node(ll, n)
+  current_node = ll.head
+  (n-1).times do
+    return "Input too large" if !(current_node.next)
+    current_node = current_node.next 
+  end
+  return current_node.value
 end
 
+class TestValueOfNthNode < Minitest::Test 
+  def setup
+    @long_linked_list = LinkedList.new
+    (1..100).each do |i|
+      @long_linked_list.insert(i)
+    end
+    @medium_linked_list = LinkedList.new
+    20.downto(1).each do |j|
+      @medium_linked_list.insert(j)
+    end
+    @short_linked_list = LinkedList.new
+    @short_linked_list.insert(1)
+  end
 
-require "minitest/autorun"
+  def test_first_node_of_long_linked_list
+    assert_equal 100, value_of_nth_node(@long_linked_list, 1)
+  end
 
-class TestValueOfNthNode < Minitest::Test
-  def setup
+  def test_last_node_of_long_linked_list
+    assert_equal 1, value_of_nth_node(@long_linked_list, 100)
+  end
+
+  def test_middle_node_of_long_linked_list
+    assert_equal 46, value_of_nth_node(@long_linked_list, 55)
+  end
+
+  def test_first_node_of_short_linked_list
+    assert_equal 1, value_of_nth_node(@short_linked_list, 1)
+  end
+  
+  def test_nth_node_of_medium_linked_list
+    assert_equal 15, value_of_nth_node(@medium_linked_list, 15)
+    assert_equal 20, value_of_nth_node(@medium_linked_list, 20)
+    assert_equal "Input too large", value_of_nth_node(@medium_linked_list, 21)
   end
 end
diff --git a/linked_list/02-find-nth-from-last.rb b/linked_list/02-find-nth-from-last.rb
index 2f17c82..5d74e31 100644
--- a/linked_list/02-find-nth-from-last.rb
+++ b/linked_list/02-find-nth-from-last.rb
@@ -3,6 +3,53 @@
 #
 # Notice that this problem has no assumptions that we had in the earlier problem.
 
-def find_nth_from_last(ll, n)
+require_relative 'linked_list'
+require "minitest/autorun"
 
+def length_of_linked_list(ll, n)
+  current_node = ll.head
+  return 0 if !(current_node)
+  len = 1
+  while !!(current_node.next)
+    len += 1
+    current_node = current_node.next
+  end
+
+
+  return "Input too large" if n > len
+  current_node = ll.head
+  (len - n).times do
+    current_node = current_node.next
+  end
+
+  return current_node.value
 end
+
+class TestValueOfNthNode < Minitest::Test 
+  def setup
+    @long_linked_list = LinkedList.new
+    (1..100).each do |i|
+      @long_linked_list.insert(i)
+    end
+    @short_linked_list = LinkedList.new
+    @short_linked_list.insert(1)
+    @new_linked_list = LinkedList.new
+  end
+
+  def test_length_of_long_linked_list
+    assert_equal 100, length_of_linked_list(@long_linked_list, 100)
+  end
+
+  def test_length_of_short_linked_list
+    assert_equal 1, length_of_linked_list(@short_linked_list, 1)
+  end
+
+  def test_length_of_new_linked_list
+    assert_equal 0, length_of_linked_list(@new_linked_list, 0)
+  end
+
+  def test_nth_from_last_of_long_linked_list
+    assert_equal 45, length_of_linked_list(@long_linked_list, 45)
+    assert_equal "Input too large", length_of_linked_list(@long_linked_list, 120)
+  end
+end
\ No newline at end of file
diff --git a/linked_list/03-find-intersection-of-two-linked-lists.rb b/linked_list/03-find-intersection-of-two-linked-lists.rb
index 9f57c9a..32e12e9 100644
--- a/linked_list/03-find-intersection-of-two-linked-lists.rb
+++ b/linked_list/03-find-intersection-of-two-linked-lists.rb
@@ -1,5 +1,7 @@
-# Given 2 linked lists ll1 and ll2 that intersect, you need to find the value of the node of intersection.
-# Write a method that takes 2 linked lists as arguments and return the value of the intersection node
+# Given 2 linked lists ll1 and ll2 that intersect, you need to find the 
+# value of the node of intersection.
+# Write a method that takes 2 linked lists as arguments and return the
+# value of the intersection node
 
 require_relative 'linked_list'
 
diff --git a/linked_list/04-find-start-of-circular-linked-list.rb b/linked_list/04-find-start-of-circular-linked-list.rb
index cb6706f..c15f059 100644
--- a/linked_list/04-find-start-of-circular-linked-list.rb
+++ b/linked_list/04-find-start-of-circular-linked-list.rb
@@ -1,8 +1,46 @@
-# Write a method that takes a circular linked list as argument and returns the zero-based-index of the start of loop of linked list.
-#
+# Write a method that takes a circular linked list as argument and returns 
+# the zero-based-index of the start of loop of linked list.
 # Assume that the linked list is circular.
 # Circular linked list is a linked list of the shape 9
 
-def find_index_of_start_of_loop(ll)
+require_relative 'linked_list'
+require "minitest/autorun"
 
+def find_start_of_loop(ll)
+  fast_runner = ll.head
+  slow_runner = ll.head
+  while !!(fast_runner.try(:next).try(:next)) 
+    fast_runner = fast_runner.next.next
+    slow_runner = slow_runner.next
+    if fast_runner == slow_runner
+      fast_runner = ll.head
+      while (fast_runner != slow_runner)
+        slow_runner = slow_runner.next
+        fast_runner = fast_runner.next
+      end
+
+      return fast_runner.value
+    end
+  end
+end
+
+class TestJointLocation < Minitest::Test 
+  def setup
+    @circular_linked_list = LinkedList.new
+    20.downto(1).each do |i|
+      @circular_linked_list.insert(i)
+    end
+    current_node = @circular_linked_list.head
+    older_node = nil
+    while !!(current_node.next)
+      older_node = current_node if current_node.value == 5
+      current_node = current_node.next
+    end
+    current_node.next = older_node
+    return @circular_linked_list
+  end
+
+  def test_linked_list_is_infinite
+    assert_equal 5, find_start_of_loop(@circular_linked_list)
+  end
 end
diff --git a/linked_list/linked_list.rb b/linked_list/linked_list.rb
index 4710f66..f00b17d 100644
--- a/linked_list/linked_list.rb
+++ b/linked_list/linked_list.rb
@@ -34,5 +34,4 @@ def delete
   end
 end
 
-class TestLinkedList < Minitest::Test
-end
+