We want:

const addByEight = addBy(8);

const sum = addByEight(50);

And we need sum to be 58.

That means:

addBy(8) must return a function.

That returned function, when called with 50, must compute 8 + 50.

So addBy must be a higher-order function that returns another function capturing num1 and later using it with num2 (a closure).

Option A

const addBy = function(num1) {

return function(num2) {

return num1 + num2;

}

}

Step-by-step:

Call addBy(8):

num1 is 8.

The function returns an inner function: function(num2) { return num1 + num2; }.

So addByEight becomes this inner function, with num1 closed over as 8.

Then call addByEight(50):

num2 is 50.

The body computes num1 + num2, i.e., 8 + 50 = 58.

Therefore, with Option A in place:

const addByEight = addBy(8); // returns inner function

const sum = addByEight(50); // 58

So sum is 58. Option A is correct.

Option D (corrected)

const addBy = (num1) = > {

return function(num2) {

return num1 + num2;

}

}

This is essentially the same logic expressed with an arrow function for the outer function:

Call addBy(8):

num1 is 8.

Returns the inner function function(num2) { return num1 + num2; }.

Call addByEight(50):

num2 is 50.

Computes num1 + num2 → 8 + 50 = 58.

So again:

const addByEight = addBy(8); // inner function with num1 = 8

const sum = addByEight(50); // 58

Option D is also correct.

Thus, A and D are the two functions that satisfy the requirement.

Why B and C are incorrect

Option B:

const addBy = function(num1) {

return num1 * num2;

}

This does not return a function; it returns a value.

addBy(8) returns 8 * num2, but num2 is not defined in this scope, which would cause a ReferenceError.

Also, addByEight would be a number (if num2 existed), not a function, so addByEight(50) would fail.

Option C:

const addBy = (num1) = > num1 + num2;

Again, addBy returns a value, not a function.

addBy(8) returns 8 + num2, but num2 is not defined, so this is also invalid due to ReferenceError.

addByEight would be a number (or error), not a function.

Neither B nor C creates the required closure nor returns a function to be called later.

References / Study Guide concepts (no links):

Higher-order functions in JavaScript

Closures: inner functions capturing outer variables (num1)

Arrow functions vs function expressions

Returning functions from functions (function factories / currying)

Scope and ReferenceError when a variable is not defined