diff --git a/asterixdb/asterix-algebra/src/main/java/org/apache/asterix/optimizer/rules/am/BTreeAccessMethod.java b/asterixdb/asterix-algebra/src/main/java/org/apache/asterix/optimizer/rules/am/BTreeAccessMethod.java
index 4b6fc36..164a505 100644
--- a/asterixdb/asterix-algebra/src/main/java/org/apache/asterix/optimizer/rules/am/BTreeAccessMethod.java
+++ b/asterixdb/asterix-algebra/src/main/java/org/apache/asterix/optimizer/rules/am/BTreeAccessMethod.java
@@ -570,8 +570,9 @@
             if (lowKeyLimits[0] == null && lowKeyLimits[i] != null || lowKeyLimits[0] != null && lowKeyLimits[i] == null
                     || highKeyLimits[0] == null && highKeyLimits[i] != null
                     || highKeyLimits[0] != null && highKeyLimits[i] == null) {
-                numSecondaryKeys--;
+                numSecondaryKeys = i;
                 primaryIndexPostProccessingIsNeeded = true;
+                break;
             }
         }
 
diff --git a/asterixdb/asterix-app/src/test/resources/optimizerts/queries/open-index-non-enforced/btree-composite-key-non-enforced/btree-composite-key-non-enforced-04.sqlpp b/asterixdb/asterix-app/src/test/resources/optimizerts/queries/open-index-non-enforced/btree-composite-key-non-enforced/btree-composite-key-non-enforced-04.sqlpp
new file mode 100644
index 0000000..583dc72
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/optimizerts/queries/open-index-non-enforced/btree-composite-key-non-enforced/btree-composite-key-non-enforced-04.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+* Description  : Index selection for non-enforced indexes.
+* Expected Res : Success
+*/
+drop dataverse test if exists;
+create dataverse test;
+use test;
+
+create dataset TestOpen(c_id int64 not unknown) open type primary key c_id;
+
+create index idx_xyz on TestOpen(c_x:string, c_y:int64, c_z:string);
+
+select value t.c_value
+from TestOpen t
+where c_x = "x2" AND c_y > 1 AND c_z = "z2";
\ No newline at end of file
diff --git a/asterixdb/asterix-app/src/test/resources/optimizerts/results/open-index-non-enforced/btree-composite-key-non-enforced/btree-composite-key-non-enforced-04.plan b/asterixdb/asterix-app/src/test/resources/optimizerts/results/open-index-non-enforced/btree-composite-key-non-enforced/btree-composite-key-non-enforced-04.plan
new file mode 100644
index 0000000..f7c87c1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/optimizerts/results/open-index-non-enforced/btree-composite-key-non-enforced/btree-composite-key-non-enforced-04.plan
@@ -0,0 +1,17 @@
+-- DISTRIBUTE_RESULT  |PARTITIONED|
+  -- ONE_TO_ONE_EXCHANGE  |PARTITIONED|
+    -- STREAM_PROJECT  |PARTITIONED|
+      -- STREAM_SELECT  |PARTITIONED|
+        -- ASSIGN  |PARTITIONED|
+          -- STREAM_PROJECT  |PARTITIONED|
+            -- ONE_TO_ONE_EXCHANGE  |PARTITIONED|
+              -- BTREE_SEARCH  |PARTITIONED|
+                -- ONE_TO_ONE_EXCHANGE  |PARTITIONED|
+                  -- STABLE_SORT [$$29(ASC)]  |PARTITIONED|
+                    -- ONE_TO_ONE_EXCHANGE  |PARTITIONED|
+                      -- STREAM_PROJECT  |PARTITIONED|
+                        -- ONE_TO_ONE_EXCHANGE  |PARTITIONED|
+                          -- BTREE_SEARCH  |PARTITIONED|
+                            -- ONE_TO_ONE_EXCHANGE  |PARTITIONED|
+                              -- ASSIGN  |PARTITIONED|
+                                -- EMPTY_TUPLE_SOURCE  |PARTITIONED|
\ No newline at end of file
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/open-index-non-enforced/index-selection/btree-index-composite-key-04/btree-index-composite-key-04.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/open-index-non-enforced/index-selection/btree-index-composite-key-04/btree-index-composite-key-04.1.ddl.sqlpp
new file mode 100644
index 0000000..dea0b9c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/open-index-non-enforced/index-selection/btree-index-composite-key-04/btree-index-composite-key-04.1.ddl.sqlpp
@@ -0,0 +1,29 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+* Description  : Index selection for non-enforced indexes.
+* Expected Res : Success
+*/
+drop dataverse test if exists;
+create dataverse test;
+use test;
+
+create dataset TestOpen(c_id int64 not unknown) open type primary key c_id;
+
+create index idx_xyz on TestOpen(c_x:string, c_y:int64, c_z:string);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/open-index-non-enforced/index-selection/btree-index-composite-key-04/btree-index-composite-key-04.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/open-index-non-enforced/index-selection/btree-index-composite-key-04/btree-index-composite-key-04.2.update.sqlpp
new file mode 100644
index 0000000..2b7580d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/open-index-non-enforced/index-selection/btree-index-composite-key-04/btree-index-composite-key-04.2.update.sqlpp
@@ -0,0 +1,35 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into TestOpen ({
+    "c_id": 1,
+    "c_x": "x1",
+    "c_y": 1,
+    "c_z": "z1",
+    "c_value": 1
+});
+insert into TestOpen ({
+    "c_id": 2,
+    "c_x": "x2",
+    "c_y": 2,
+    "c_z": "z2",
+    "c_value": 2
+});
\ No newline at end of file
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/open-index-non-enforced/index-selection/btree-index-composite-key-04/btree-index-composite-key-04.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/open-index-non-enforced/index-selection/btree-index-composite-key-04/btree-index-composite-key-04.3.query.sqlpp
new file mode 100644
index 0000000..9bd5957
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/open-index-non-enforced/index-selection/btree-index-composite-key-04/btree-index-composite-key-04.3.query.sqlpp
@@ -0,0 +1,24 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select value t.c_value
+from TestOpen t
+where c_x = "x2" AND c_y > 1 AND c_z = "z2";
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/open-index-non-enforced/index-selection/btree-index-composite-key-04/btree-index-composite-key-04.3.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/open-index-non-enforced/index-selection/btree-index-composite-key-04/btree-index-composite-key-04.3.adm
new file mode 100644
index 0000000..d8263ee
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/open-index-non-enforced/index-selection/btree-index-composite-key-04/btree-index-composite-key-04.3.adm
@@ -0,0 +1 @@
+2
\ No newline at end of file
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/testsuite_sqlpp.xml b/asterixdb/asterix-app/src/test/resources/runtimets/testsuite_sqlpp.xml
index f127fbd..06ccf56 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/testsuite_sqlpp.xml
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/testsuite_sqlpp.xml
@@ -6639,6 +6639,11 @@
           <output-dir compare="Text">btree-index-composite-key-03</output-dir>
         </compilation-unit>
       </test-case>
+      <test-case FilePath="open-index-non-enforced/index-selection">
+        <compilation-unit name="btree-index-composite-key-04">
+          <output-dir compare="Text">btree-index-composite-key-04</output-dir>
+        </compilation-unit>
+      </test-case>
       <test-case FilePath="open-index-non-enforced/correlated-index-selection">
         <compilation-unit name="btree-index-01">
           <output-dir compare="Text">btree-index-01</output-dir>