What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged?
110 × 10 – 175 ÷ 5 + 29 = ?
Correct Answer :
857
Solution :
The correct option is 857 (Option 2).
To find the value that replaces the question mark (?), we need to modify the given equation by interchanging the operators as specified:
• '+' and '–' are interchanged.
• '×' and '÷' are interchanged.
Given Equation:
110 × 10 – 175 ÷ 5 + 29 = ?
Modified Equation:
Replacing '×' with '÷', '–' with '+', '÷' with '×', and '+' with '–', we get:
110 ÷ 10 + 175 × 5 – 29 = ?
Now, apply the BODMAS / PEMDAS rule (Division, Multiplication, Addition, Subtraction):
Step 1: Perform Division
The equation becomes:
11 + 175 × 5 – 29
Step 2: Perform Multiplication
The equation becomes:
11 + 875 – 29
Step 3: Perform Addition
The equation becomes:
886 – 29
Step 4: Perform Subtraction
Thus, the value of the question mark (?) is 857.
Access expert-curated educational resources and study materials—completely free.
Create, conduct, and manage professional online assessments with Mindyard. Perfect for teachers and institutes.
Copyright © 2026 Mindyard. All Rights Reserved.