Find the value of given expression
`80 div [48-[56- (60 - 36 div 12 xx4)}]` =
(a)5
(b)8
(c)4
(d)2

Options

A. 5
B. 8
C. 4
D. 2

Answer

To solve the expression `80 div [48 - [56 - (60 - 36 div 12 x 4)]]`, we will follow the BODMAS/BIDMAS rule, which stands for Brackets, Orders (i.e., powers and square roots, etc.), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

Let's break it down step by step:

### Step 1: Solve the innermost bracket
We start with the innermost expression:
`(60 - 36 div 12 x 4)`

First, we perform the division:
- `36 div 12 = 3`

Now substitute this back into the expression:
- `60 - 3 x 4`

Next, we perform the multiplication:
- `3 x 4 = 12`

Now substitute this back:
- `60 - 12 = 48`

### Step 2: Substitute back into the next bracket
Now we have:
`80 div [48 - [56 - 48]]`

Next, we solve the next bracket:
- `56 - 48 = 8`

Now substitute this back:
`80 div [48 - 8]`

### Step 3: Solve the outer bracket
Now we simplify the outer bracket:
- `48 - 8 = 40`

Now substitute this back:
`80 div 40`

### Step 4: Perform the final division
Now we perform the division:
- `80 div 40 = 2`

### Final Answer
The value of the expression is **2**.

Thus, the correct option is **(d) 2**.

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