What will come in place of the question mark (?) in the following equation if '+' and 'x' are interchanged and '-' and '÷' are interchanged?
5 + 3 × 2 ÷ 10 − 5 = ?
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.
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What is the profession of B?
