$34 + 43 - 17 \div 121 \times 11 = ?$
Solving the Equation with Operator Interchange
This problem involves solving a mathematical equation where specific operators need to be interchanged before calculation. The original equation is:
$$34 + 43 - 17 \div 121 \times 11 = ?$$
The rules for interchanging operators are:
- '+' is interchanged with '-'.
- 'x' is interchanged with '÷'.
Applying Operator Interchange
Let's rewrite the equation by applying these interchange rules:
- The '+' sign becomes '-'.
- The '-' sign becomes '+'.
- The '÷' sign becomes 'x'.
- The 'x' sign becomes '÷'.
The modified equation becomes:
$$34 - 43 + 17 \times 121 \div 11 = ?$$
Step-by-Step Calculation of the Modified Equation
We will solve the modified equation using the standard order of operations (BODMAS/PEMDAS: Brackets, Orders, Division/Multiplication, Addition/Subtraction).
Step 1: Perform Multiplication and Division (from left to right)
First, we handle the multiplication and division part: '$17 \times 121 \div 11$'.
- Calculate the multiplication: $17 \times 121 = 2057$.
- Now perform the division: $2057 \div 11 = 187$.
So, the equation simplifies to:
$$34 - 43 + 187 = ?$$
Step 2: Perform Addition and Subtraction (from left to right)
Now, we perform the subtraction and addition from left to right.
- First, the subtraction: $34 - 43 = -9$.
- Next, the addition: $-9 + 187 = 178$.
Final Result
Therefore, the value that will come in place of the question mark (?) is 178.
The final answer is 178.
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.)
