What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged?

164 – 173 ÷ 110 + 140 × 5 = ?

Question

What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged?

164 – 173 ÷ 110 + 140 × 5 = ?

Accepted Answer

Let's analyze the problem step by step:

Given: 164 – 173 ÷ 110 + 140 × 5 = ?

Interchange:
- ‘+’ and ‘–’ are interchanged
- ‘×’ and ‘÷’ are interchanged

So, replace the operators:
- ‘–’ becomes ‘+’
- ‘÷’ becomes ‘×’
- ‘+’ becomes ‘–’
- ‘×’ becomes ‘÷’

Rewrite the equation with the new operators:

Original: 164 – 173 ÷ 110 + 140 × 5
After interchange: 164 + 173 × 110 – 140 ÷ 5

Now, apply BODMAS (order of operations):
1. Multiplication and Division first:
   - 173 × 110 = 19030
   - 140 ÷ 5 = 28

2. Now substitute back:
   - 164 + 19030 – 28

3. Addition and Subtraction from left to right:
   - 164 + 19030 = 19194
   - 19194 – 28 = 19166

Wait, let's check the operator mapping again:

Given mapping:
- ‘–’ → ‘+’
- ‘÷’ → ‘×’
- ‘+’ → ‘–’
- ‘×’ → ‘÷’

So, the equation:
164 – 173 ÷ 110 + 140 × 5
becomes:
164 + 173 × 110 – 140 ÷ 5

But the options do not match 19166 (which is option 3). Let's check the calculation again:

173 × 110 = 19030
140 ÷ 5 = 28
164 + 19030 = 19194
19194 – 28 = 19166

So, option 3 (19166) matches our calculation, but the correct answer should be marked as option 3, not option 4. Let's double-check the mapping and calculation:

- 164 – 173 ÷ 110 + 140 × 5
- ‘–’ → ‘+’
- ‘÷’ → ‘×’
- ‘+’ → ‘–’
- ‘×’ → ‘÷’

So, the equation becomes:
164 + 173 × 110 – 140 ÷ 5

Order:
1. 173 × 110 = 19030
2. 140 ÷ 5 = 28
3. 164 + 19030 = 19194
4. 19194 – 28 = 19166

Thus, the correct answer is option 3: 19166.

However, the answer key in the question marks option 4 as correct. But based on the step-by-step calculation, option 3 is correct.

Final answer: Option 3 (19166).

Answer

Answer

Answer