diff --git a/jquery/jquery-tests.ts b/jquery/jquery-tests.ts
index d3e4b72bd3..fbee85509f 100644
--- a/jquery/jquery-tests.ts
+++ b/jquery/jquery-tests.ts
@@ -1061,6 +1061,9 @@ function test_each() {
     $.each({ name: "John", lang: "JS" }, function (k, v) {
         alert("Key: " + k + ", Value: " + v);
     });
+    $.each([{a: 1}, {a: 2}, {a: 3}], function (i, o) {
+        alert("Index #" + i + ": " + o.a);
+    });
     $('li').each(function (index) {
         alert(index + ': ' + $(this).text());
     });
@@ -1550,11 +1553,12 @@ function test_grep() {
         return (n != 5 && i > 4);
     });
     $("p").text(arr.join(", "));
-    arr = jQuery.grep(arr, function (a) { return a != 9; });
+    var arr2 = jQuery.grep(arr, function (a) { return a != 9; });
     $("span").text(arr.join(", "));
     $.grep([0, 1, 2], function (n, i) {
         return n > 0;
     }, true);
+    var arr3 = $.grep(["a", "b", "c"], function (n, i) { return n !== "b"; });
 }
 
 function test_has() {
@@ -1693,6 +1697,9 @@ function test_inArray() {
     $spans.eq(1).text(jQuery.inArray(4, arr));
     $spans.eq(2).text(jQuery.inArray("Karl", arr));
     $spans.eq(3).text(jQuery.inArray("Pete", arr, 2));
+
+    var arr2: number[] = [1, 2, 3, 4];
+    $spans.eq(1).text(jQuery.inArray(4, arr2));
 }
 
 function test_index() {
@@ -2195,7 +2202,7 @@ function test_map() {
         return (a > 50 ? a - 45 : null);
     });
     var array = [0, 1, 52, 97];
-    array = $.map(array, function (a, index) {
+    var array2 = $.map(array, function (a, index) {
         return [a - 45, index];
     });
 }
@@ -2207,6 +2214,7 @@ function test_merge() {
     var first = ['a', 'b', 'c'];
     var second = ['d', 'e', 'f'];
     $.merge($.merge([], first), second);
+    var z = $.merge([0, 1, 2], ['a', 'b', 'c']);
 }
 
 function test_prop() {
diff --git a/jquery/jquery.d.ts b/jquery/jquery.d.ts
index c04e1b1b24..1513959a84 100644
--- a/jquery/jquery.d.ts
+++ b/jquery/jquery.d.ts
@@ -292,19 +292,17 @@ interface JQueryStatic {
     contains(container: Element, contained: Element): boolean;
 
     each(collection: any, callback: (indexInArray: any, valueOfElement: any) => any): any;
-    each(collection: any[], callback: (indexInArray: any, valueOfElement: any) => any): any;
     each(collection: JQuery, callback: (indexInArray: number, valueOfElement: HTMLElement) => any): any;
-    each(collection: string[], callback: (indexInArray: number, valueOfElement: string) => any): any;
-    each(collection: number[], callback: (indexInArray: number, valueOfElement: number) => any): any;
+    each<T>(collection: T[], callback: (indexInArray: number, valueOfElement: T) => any): any;
 
     extend(target: any, ...objs: any[]): Object;
     extend(deep: bool, target: any, ...objs: any[]): Object;
 
     globalEval(code: string): any;
 
-    grep(array: any[], func: any, invert?: bool): any[];
+    grep<T>(array: T[], func: (elementOfArray: T, indexInArray: number) => boolean, invert?: bool): T[];
 
-    inArray(value: any, array: any[], fromIndex?: number): number;
+    inArray<T>(value: T, array: T[], fromIndex?: number): number;
 
     isArray(obj: any): boolean;
     isEmptyObject(obj: any): boolean;
@@ -316,10 +314,11 @@ interface JQueryStatic {
 
     makeArray(obj: any): any[];
 
-    map(array: any[], callback: (elementOfArray: any, indexInArray: any) => any): any[];
+    map<T, U>(array: T[], callback: (elementOfArray: T, indexInArray: number) => U): U[];
     map(array: any, callback: (elementOfArray: any, indexInArray: any) => any): any;
 
-    merge(first: any[], second: any[]): any[];
+    merge<T>(first: T[], second: T[]): T[];
+    merge<T,U>(first: T[], second: U[]): any[];
 
     noop(): any;