What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘–’ are interchanged and also ‘×’ and ‘÷’ are interchanged?
154 × 11 − 24 ÷ 3 + 19 = ?
Correct Answer :
67
Solution :
To solve the given equation, we need to apply the specified interchanges of operators and then evaluate the expression using the BODMAS/PEMDAS rule (Bracket, Of, Division, Multiplication, Addition, Subtraction).
The given equation is:
154 × 11 − 24 ÷ 3 + 19 = ?
According to the problem description, we must make the following interchanges:
1. '+' and '–' are interchanged (i.e., + becomes −, and − becomes +).
2. '×' and '÷' are interchanged (i.e., × becomes ÷, and ÷ becomes ×).
Applying these interchanges to the original equation, we get the new equation:
Now, we evaluate this expression step-by-step:
Step 1: Perform the Division
Divide 154 by 11:
Substitute this back into the equation:
Step 2: Perform the Multiplication
Multiply 24 by 3:
Substitute this back into the equation:
Step 3: Perform the Addition and Subtraction
Add 14 and 72:
Now, subtract 19 from 86:
Thus, the value that comes in place of '?' is 67.
Therefore, the correct option is 67.
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