Which two signs should be interchanged to make the given equation correct?
5 + 156 − 12 × 15 ÷ 15 = 185

To determine which two signs should be interchanged to make the given equation correct, let us test the options step-by-step using the standard order of operations (BODMAS/PEMDAS rule: Brackets, Orders, Division/Multiplication, Addition/Subtraction).

The original equation is:
$5+156-12\times 15÷15=185$

The correct option to interchange is ÷ and −.

Let us interchange the signs ÷ and − in the given equation:
Replace − with ÷ and ÷ with −.

The new equation becomes:
$5+156÷12\times 15-15=185$

Now, let us evaluate the Left Hand Side (LHS) step-by-step:

Step 1: Perform Division
Divide 156 by 12:
$156÷12=13$

Substitute this back into the equation:
$5+13\times 15-15$

Step 2: Perform Multiplication
Multiply 13 by 15:
$13\times 15=195$

Substitute this back into the equation:
$5+195-15$

Step 3: Perform Addition
Add 5 and 195:
$5+195=200$

Substitute this back into the equation:
$200-15$

Step 4: Perform Subtraction
Subtract 15 from 200:
$200-15=185$

Since the Left Hand Side (185) is equal to the Right Hand Side (185), interchanging ÷ and − makes the equation correct.

Hence, the correct answer is ÷ and −.