diff --git a/jquery.validation/jquery.validation-tests.ts b/jquery.validation/jquery.validation-tests.ts
index b8f7a16ae..0096db974 100644
--- a/jquery.validation/jquery.validation-tests.ts
+++ b/jquery.validation/jquery.validation-tests.ts
@@ -140,12 +140,12 @@ function test_validate() {
         }
     });
     $(".selector").validate({
-        highlight: function (element, errorClass, validClass) {
+        highlight: function (element: HTMLInputElement, errorClass, validClass) {
             $(element).addClass(errorClass).removeClass(validClass);
             $(element.form).find("label[for=" + element.id + "]")
                            .addClass(errorClass);
         },
-        unhighlight: function (element, errorClass, validClass) {
+        unhighlight: function (element: HTMLInputElement, errorClass, validClass) {
             $(element).removeClass(errorClass).addClass(validClass);
             $(element.form).find("label[for=" + element.id + "]")
                            .removeClass(errorClass);
diff --git a/jquery/jquery-tests.ts b/jquery/jquery-tests.ts
index 0a935ce44..8ea41f2c1 100644
--- a/jquery/jquery-tests.ts
+++ b/jquery/jquery-tests.ts
@@ -2372,7 +2372,7 @@ function test_EventIsCallable() {
     var ev = jQuery.Event('click');
 }
 
-$.when($.ajax("/my/page.json")).then((a,b,c) => a.asdf); // is type JQueryPromise<any>
+$.when($.ajax("/my/page.json")).then((a?,b?,c?) => a.asdf); // is type JQueryPromise<any>
 $.when("asdf", "jkl;").done((x,y) => x.length + y.length, (x,y) => x.length + y.length);
 
 var f1 = $.when("fetch"); // Is type JQueryPromise<string>
diff --git a/q/Q-tests.ts b/q/Q-tests.ts
index 21fc95138..22f33506e 100644
--- a/q/Q-tests.ts
+++ b/q/Q-tests.ts
@@ -23,7 +23,7 @@ Q.delay(8, 1000).then(x => x.toExponential());
 Q.delay(Q("asdf"), 1000).then(x => x.length);
 Q.delay("asdf", 1000).then(x => x.length);
 
-var eventualAdd = Q.promised((a: number, b: number) => a + b);
+var eventualAdd = Q.promised((a?: number, b?: number) => a + b);
 eventualAdd(Q(1), Q(2)).then(x => x.toExponential());
 
 var eventually = function (eventually) {
@@ -90,7 +90,7 @@ Q.all(promiseArray).then(nums => nums.map(num => num.toPrecision(2)).join(','));
 
 Q.all<number>(myNums).then(nums => nums.map(Math.round));
 
-Q.fbind((dateString) => new Date(dateString), "11/11/1991")().then(d => d.toLocaleDateString());
+Q.fbind((dateString?: string) => new Date(dateString), "11/11/1991")().then(d => d.toLocaleDateString());
 
 Q.when(8, num => num + "!");
 Q.when(Q(8), num => num + "!").then(str => str.split(','));
diff --git a/q/Q.d.ts b/q/Q.d.ts
index 31537423f..4d7a7ce4f 100644
--- a/q/Q.d.ts
+++ b/q/Q.d.ts
@@ -106,14 +106,14 @@ declare module Q {
     export function nsend<T>(nodeModule: any, functionName: string, ...args: any[]): Promise<T>;
     export function nmcall<T>(nodeModule: any, functionName: string, ...args: any[]): Promise<T>;
 
-    export function all<T>(promises: any[]): Promise<T[]>;
     export function all<T>(promises: IPromise<T>[]): Promise<T[]>;
+    export function all<T>(promises: any[]): Promise<T[]>;
     
-    export function allSettled<T>(promises: any[]): Promise<PromiseState<T>[]>;
     export function allSettled<T>(promises: IPromise<T>[]): Promise<PromiseState<T>[]>;
+    export function allSettled<T>(promises: any[]): Promise<PromiseState<T>[]>;
 
-    export function allResolved<T>(promises: any[]): Promise<Promise<T>[]>;
     export function allResolved<T>(promises: IPromise<T>[]): Promise<Promise<T>[]>;
+    export function allResolved<T>(promises: any[]): Promise<Promise<T>[]>;
 
     export function spread<U>(promises: any[], onFulfilled: (...args: any[]) => IPromise<U>, onRejected: (reason: any) => IPromise<U>): Promise<U>;
     export function spread<U>(promises: any[], onFulfilled: (...args: any[]) => IPromise<U>, onRejected: (reason: any) => U): Promise<U>;