What will come in the place of the question mark (?) in the following equation if ‘+’ and ‘×‘ are interchanged and ‘−’ and ‘÷’ are interchanged?
95 − 19 × 4 + 6 ÷ 16 = ?

Question

Accepted Answer

Step 1: Understand the operator interchange:
- '+' and '×' are interchanged.
- '−' and '÷' are interchanged.

Original expression:
95 − 19 × 4 + 6 ÷ 16

After interchange:
Replace '−' with '÷'
Replace '×' with '+'
Replace '+' with '×'
Replace '÷' with '−'

So the expression becomes:
95 ÷ 19 + 4 × 6 − 16

Step 2: Evaluate the new expression following BODMAS:
- Division and multiplication first from left to right:
95 ÷ 19 = 5
4 × 6 = 24

Expression now:
5 + 24 − 16

Step 3: Perform addition and subtraction from left to right:
5 + 24 = 29
29 − 16 = 13

Step 4: Check the options:
The result is 13, but the options given are 13, 12, 14, 11.

Rechecking the operator interchange:
The problem states:
- '+' and '×' are interchanged
- '−' and '÷' are interchanged

Original: 95 − 19 × 4 + 6 ÷ 16
Interchanged:
'−' becomes '÷' => 95 ÷ 19
'×' becomes '+' => 19 + 4
'+' becomes '×' => 4 × 6
'÷' becomes '−' => 6 − 16

Wait, the above is incorrect because the operators are replaced in the original expression, not the operands.

Correct approach:
Original expression: 95 − 19 × 4 + 6 ÷ 16
Operators in order: '−', '×', '+', '÷'
Replace each operator:
'−' → '÷'
'×' → '+'
'+' → '×'
'÷' → '−'

So expression becomes:
95 ÷ 19 + 4 × 6 − 16

Evaluate:
95 ÷ 19 = 5
4 × 6 = 24
Expression: 5 + 24 − 16
5 + 24 = 29
29 − 16 = 13

So the answer is 13.

Therefore, the correct answer is option 1: 13.

Answer

Answer

Answer