If $855÷15-k+32\times 5=1152÷16\times 111÷37$, then the value of k is:

The correct answer is 1.

We need to solve the equation:

$855÷15-k+32\times 5=1152÷16\times 111÷37$

We follow the BODMAS rule — Multiplication and Division are performed before Addition and Subtraction, and among equal-priority operations (like ÷ and ×), we work left to right.

Step 1: Simplify the Left-Hand Side (LHS)

First, handle all multiplication and division from left to right:

$855÷15=57$
$32\times 5=160$

So the LHS becomes:

$57-k+160=217-k$

Step 2: Simplify the Right-Hand Side (RHS)

Again, work left to right through the multiplications and divisions:

$1152÷16=72$
$72\times 111=7992$
$7992÷37=216$

Step 3: Set LHS = RHS and solve for k

$217-k=216$

$k=217-216$

$k=1$

Therefore, the value of k = 1.