Question Details

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 = ?

Options

A

62

B

67

C

71

D

54

Show Answer

Correct Answer :

Option B

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:
154÷11+24×3-19=?

Now, we evaluate this expression step-by-step:

Step 1: Perform the Division
Divide 154 by 11:
154÷11=14
Substitute this back into the equation:
14+24×3-19=?

Step 2: Perform the Multiplication
Multiply 24 by 3:
24×3=72
Substitute this back into the equation:
14+72-19=?

Step 3: Perform the Addition and Subtraction
Add 14 and 72:
14+72=86
Now, subtract 19 from 86:
86-19=67

Thus, the value that comes in place of '?' is 67.

Therefore, the correct option is 67.

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