If A denotes ‘addition’, B denotes ‘multiplication’, C denotes ‘subtraction’, and D denotes ‘division’, then what will be the value of the following expression?
46 C (6 A 7) B 5 A 24 D 6 B (27 D (9 D 3))

The correct answer is 17.

We begin by decoding the symbolic operators as given:

A → Addition (+)
B → Multiplication (×)
C → Subtraction (-)
D → Division (÷)

The original expression is:

46 C (6 A 7) B 5 A 24 D 6 B (27 D (9 D 3))

After substituting the real operators, it becomes:

46 - (6 + 7) × 5 + 24 ÷ 6 × (27 ÷ (9 ÷ 3))

Now we solve step-by-step, following the standard order of operations (innermost brackets first, then left to right):

Step 1: Solve the innermost bracket — (9 ÷ 3)

9 ÷ 3 = 3

Step 2: Solve the next bracket — (27 ÷ 3)

27 ÷ 3 = 9

Step 3: Solve the remaining bracket — (6 + 7)

6 + 7 = 13

The expression now looks like:

46 - 13 × 5 + 24 ÷ 6 × 9

Step 4: Perform all multiplications and divisions from left to right.

13 × 5 = 65

24 ÷ 6 = 4

4 × 9 = 36

The expression now looks like:

46 - 65 + 36

Step 5: Perform addition and subtraction from left to right.

46 - 65 = -19

-19 + 36 = 17

Therefore, the value of the expression is 17.