The given equation is: 5 + 3 × 2 ÷ 10 − 5 = ?

We are given that '+' and '×' are interchanged and '−' and '÷' are interchanged. Therefore, the equation becomes:

5 × 3 + 2 ÷ 10 ÷ 5 = ?

Following the order of operations (PEMDAS/BODMAS), we perform the division first:

2 ÷ 10 = 0.2

0.2 ÷ 5 = 0.04

Now the equation becomes:

5 × 3 + 0.04 = ?

Performing multiplication next:

5 × 3 = 15

Finally, we perform addition:

15 + 0.04 = 15.04

Since 15.04 is not among the options, let's reconsider the order of operations. While generally division precedes addition, the interchanging of operators creates an ambiguity that needs careful consideration. A strict left-to-right approach, given the lack of explicit parentheses, might be necessary here:

5 × 3 = 15

15 + 2 = 17

17 ÷ 10 = 1.7

1.7 ÷ 5 = 0.34

This still does not give us a result in the options. Let's try another approach: Since we are interchanging operators, we'll follow the order of operations strictly after applying the interchange:

5 × 3 + 2 ÷ 10 ÷ 5 = ?

Following the BODMAS rule after the interchange:

• First, we perform the multiplications: \(5 \times 3 = 15\)
• Then, we perform the divisions from left to right: \(2 \div 10 = 0.2\), \(0.2 \div 5 = 0.04\)
• Finally, we perform the addition: \(15 + 0.04 = 15.04\)

Considering the given options, there seems to be a discrepancy in the question or the provided options. However, considering the closest option, 15 is a plausible answer if the question is interpreted ambiguously or contains an error.