What will come in place of the question mark (?) in the following equation, if…
2024
What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged?
321 – 371 ÷ 22 + 216 × 6 = ?
- A.
7848
- B.
7884
- C.
8747
- D.
8447
Attempted by 2 students.
Show answer & explanation
Correct answer: D
To solve this problem, we must first perform the required operator interchanges and then follow the order of operations (BODMAS/PEMDAS).
Step 1: Interchange the Operators
Given the equation: 321 - 371 ÷ 22 + 216 * 6 = ?
Following the instructions:
Interchange '+' and '-'
Interchange 'x' and '÷'
The new equation becomes:
321 + 371 * 22 - 216 ÷ 6 = ?
Step 2: Apply the Order of Operations
We must follow the BODMAS rule (Division, Multiplication, Addition, Subtraction).
Division: 216 ÷ 6 = 36
Equation becomes: 321 + 371 * 22 - 36
Multiplication: 371 * 22 = 8162
Equation becomes: 321 + 8162 - 36
Addition: 321 + 8162 = 8483
Subtraction: 8483 - 36 = 8447