What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘–‘…
2024
What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘–‘ are interchanged and ‘×’ and ‘÷’ are interchanged?
4 ÷ 6 + 91 × 7 − 5 = ?
Answer: B. 16 — To solve this problem, we must first perform the required operator interchanges and then solve the resulting expression using the BODMAS rule (Brackets,…
- A.
21
- B.
16
- C.
12
- D.
17
Attempted by 2 students.
Show answer & explanation
Correct answer: B
To solve this problem, we must first perform the required operator interchanges and then solve the resulting expression using the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction).
Step-by-Step Solution
1. Interchange the Operators:
The original equation is: 4 ÷ 6 + 91 × 7 - 5 = ?
Interchange + with -
Interchange × with ÷
The new equation becomes:
4 × 6 - 91 ÷ 7 + 5
2. Apply BODMAS Rule:
Division: First, solve 91 ÷ 7
91 ÷ 7 = 13
The equation now is: 4 × 6 - 13 + 5
Multiplication: Next, solve 4 × 6
4 × 6 = 24
The equation now is: 24 - 13 + 5
Addition and Subtraction: Finally, perform the remaining operations from left to right:
24 - 13 = 11
11 + 5 = 16