6 + 3 ÷ 48 − 4 × 25 = ?
Equation Analysis With Operator Interchange
This solution details solving the equation after interchanging operators based on the given rules.
Original Equation
The initial equation is:
$6 + 3 ÷ 48 − 4 × 25 = ?$
Operator Interchange Rules
The specified rules for interchanging operators are:
- '+' becomes '÷'
- '÷' becomes '+'
- '−' becomes '×'
- '×' becomes '−'
Transformed Equation
Applying these rules transforms the equation to:
$6 ÷ 3 + 48 × 4 − 25 = ?$
Solving the Transformed Equation
Using the BODMAS/PEMDAS order of operations:
- Division: Calculate $6 ÷ 3$ which equals 2. ($6 \div 3 = 2$)
- Multiplication: Calculate $48 × 4$ which equals 192. ($48 \times 4 = 192$)
- Substitution: The equation simplifies to $2 + 192 − 25$.
- Addition: Calculate $2 + 192$ which equals 194. ($2 + 192 = 194$)
- Subtraction: Calculate $194 − 25$ which equals 169. ($194 - 25 = 169$)
The calculation yields 169. The correct answer, as provided, is Option D.
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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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.)
