$8 + 5 \div 40 - 4 \times 17 = ?$
Equation Solving with Operator Interchange
The problem requires solving the given equation after interchanging specific arithmetic operators.
Original Equation: $8 + 5 \div 40 - 4 \times 17 = ?$
Operator Interchanges
The rules for interchanging operators are:
- '+' is interchanged with '×'
- '−' is interchanged with '÷'
- '×' is interchanged with '+'
- '÷' is interchanged with '−'
Applying Operator Changes
Applying these interchanges to the original equation, we get the new equation:
$8 \times 5 - 40 \div 4 + 17 = ?$Solving the New Equation
We solve the new equation using the standard order of operations (BODMAS/PEMDAS):
- Division: First, perform the division: $40 \div 4 = 10$ The equation becomes: $8 \times 5 - 10 + 17 = ?$
- Multiplication: Next, perform the multiplication: $8 \times 5 = 40$ The equation becomes: $40 - 10 + 17 = ?$
- Subtraction: Perform the subtraction: $40 - 10 = 30$ The equation becomes: $30 + 17 = ?$
- Addition: Finally, perform the addition: $30 + 17 = 47$
Therefore, the value in place of the question mark (?) is 47.
Similar Questions
- What will come in the place of the question mark (?) in the following equation, if '+' and '−' are interchanged and '×' and '÷' are interchanged?
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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.)
