$34 + 43 - 17 \div 121 \times 11 = ?$
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
Select the set, from the given options, in which the numbers are related in the same way as are the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its 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.)
(6, 13, 78)
(5, 22, 110)
If + means -, - means ×, × means ÷, ÷ means +, then what will come in place of the question mark (?) in the following equation?
28 - 6 ÷ 4 + 14 × 14 = ?
In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Which numbers should replace X and Y so that the pattern followed by the two numbers on the left side of :: is the same as that on the right side of :: ?
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its 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.)
X : 649 :: 956 : Y
Which two numbers should be interchanged to make the given equation correct?
75 ÷ 5 + 15 × 4 - 17 × 3 + (60 ÷ 6) × 10 = 100
(Note: Interchange should be done of the entire number and not individual digits of a given number.)
If '+' means minus, '-' means multiplication, '÷' means plus, and 'x' means division, then solve the equation:
15 - 3 + 10 x 5 ÷ 5
