What will come in the place of the question mark (?) in the following equation, if '+' and '-' are interchanged and 'x' and '÷' are interchanged?
43 ÷ 13 - 648 × 8 + 52 = ?
588
This problem requires us to solve a mathematical equation after interchanging specific arithmetic symbols according to given rules.
Understanding the Symbol Interchange
The problem states two rules for interchanging symbols:
- The '+' sign is interchanged with the '-' sign.
- The '×' sign is interchanged with the '÷' sign.
Applying the Symbol Changes
The original equation is:
43 ÷ 13 - 648 × 8 + 52 = ?
Let's apply the interchange rules to this equation:
43 ÷ 13becomes43 × 13- 648becomes+ 648× 8becomes÷ 8+ 52becomes- 52
After applying these interchanges, the new equation becomes:
43 × 13 + 648 ÷ 8 - 52 = ?
Solving the Modified Equation
We will now solve the new equation using the standard order of operations (BODMAS/PEMDAS), which stands for Brackets, Orders (powers/roots), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
Step 1: Perform Multiplication and Division
First, we handle the multiplication and division operations from left to right:
- Calculate
43 × 13:$$ 43 \times 13 = 559 $$
- Calculate
648 ÷ 8:$$ 648 \div 8 = 81 $$
Substituting these results back into the equation, we get:
559 + 81 - 52 = ?
Step 2: Perform Addition and Subtraction
Next, we perform the addition and subtraction operations from left to right:
- Calculate
559 + 81:$$ 559 + 81 = 640 $$
- Calculate
640 - 52:$$ 640 - 52 = 588 $$
Final Result
Therefore, the value that comes in place of the question mark (?) after interchanging the symbols is 588.
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.)
