Question Details

What will come in the place of the question mark (?) in the following equation, if '+' and '÷' are interchanged and '×' and '–' are interchanged?
1633+11÷22×5=?

Options

A

65

B

60

C

62

D

69

Show Answer

Correct Answer :

Option A

65

Solution :

The correct answer is 65 (Option 1).

We are given the mathematical equation:

1633+11÷22×5=?

According to the instructions, we need to interchange the signs as follows:
• '+' and '÷' are interchanged
• '×' and '–' are interchanged

Replacing the signs in the original equation, we get the new expression:

16×33÷11+225

Now, follow the BODMAS rule (Brackets, Orders, Division/Multiplication, Addition/Subtraction) to solve step-by-step:

Step 1: Perform Division
Divide 33 by 11:

33÷11=3

Substituting this back into the expression:

16×3+225

Step 2: Perform Multiplication
Multiply 16 by 3:

16×3=48

Substituting this value back into the expression:

48+225

Step 3: Perform Addition
Add 48 and 22:

48+22=70

Substituting this value back into the expression:

705

Step 4: Perform Subtraction
Subtract 5 from 70:

705=65

Thus, the value in place of the question mark (?) is 65.

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