32 ÷ 2 × 72 − 9 + 5 = ?
Equation Solving with Operator Interchange
The problem requires solving a mathematical equation after interchanging specific operators. The original equation is:
$32 ÷ 2 × 72 − 9 + 5 = ?$
Operator Interchange Rules
The following operator interchanges must be applied:
- '÷' is replaced by '−'
- '×' is replaced by '+'
- '−' is replaced by '÷'
- '+' is replaced by '×'
Applying Operator Changes
Applying these rules to the original equation yields the new equation:
$32 − 2 + 72 ÷ 9 × 5 = ?$
Solving the New Equation
The new equation is solved using the order of operations (BODMAS/PEMDAS):
- Division: First, perform the division.
$72 \div 9 = 8$
The equation becomes: $32 − 2 + 8 × 5$ - Multiplication: Next, perform the multiplication.
$8 \times 5 = 40$
The equation becomes: $32 − 2 + 40$ - Addition and Subtraction: Finally, perform addition and subtraction from left to right.
$32 - 2 = 30$
$30 + 40 = 70$
Final Result
After interchanging the operators and solving according to the order of operations, the value is 70.
Therefore, the value that comes in place of the question mark (?) is 70.
Similar Questions
- What will come in the place of the question mark (?) in the following equation, if '+' and '−' are interchanged and '×' and '÷' are interchanged?
65 × 5 − 19 ÷ 3 + 25 = ? - If 'A' stands for '÷', 'B' stands for '×', 'C' stands for '+' and 'D' stands for '−', what will come in place of the question mark (?) in the following equation?
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- Which two signs are to be interchanged to make the given equation correct?
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Important Questions from Mathematical Operations
What will come in the place of ‘?’ in the following equation if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged?
18 ÷ 9 + 24 × 3 − 16 = ?If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’, and ‘D’ stands for ‘−’, what will come in place of the question mark (?) in the following equation?
88 B 3 D 12 A 4 C 6 = ?Select the set in which the numbers are related in the same way as are the numbers of the given sets.
(NOTE: Operations should be performed on whole numbers without breaking down the numbers into their constituent digits. E.g., 13 – Operations on 13 such as adding/subtracting/multiplying, etc., to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Given sets:
(9, 21, 193)
(12, 15, 184)What will come in the place of the question mark (?) in the following equation, if ‘÷’ and ‘+’ are interchanged and ‘−’ and ‘×’ are interchanged?
44 ÷ 78 + 6 − 3 × 19 = ?Two sets of numbers are given below. In each set of numbers, certain mathematical operation(s) on the first number result(s) in the second number. Similarly, certain mathematical operation(s) on the second number result(s) in the third number and so on. Which of the given options follows the same set of operations as in the given sets?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
