312 + 6 x 8 - 21 ÷ 169 = ?
The problem asks us to find the value of the question mark (?) in the given equation after interchanging specific operators.
Interchanging Operators
The given equation is:
\(312 + 6 x 8 - 21 ÷ 169 = ?\)
The rules for interchanging operators are:
- '+' is interchanged with '÷'
- '-' is interchanged with 'x'
Applying these rules, the equation becomes:
\(312 ÷ 6 - 8 x 21 + 169 = ?\)
Solving the Transformed Equation
We solve the transformed equation using the standard order of operations (BODMAS/PEMDAS): Bracket, Order/Of, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
- Division: Calculate \(312 \div 6\).
\(312 \div 6 = 52\)
- Multiplication: Calculate \(8 \times 21\).
\(8 \times 21 = 168\)
- Substitute and Simplify: Substitute these results back into the equation.
\(52 - 168 + 169 = ?\)
- Subtraction: Calculate \(52 - 168\).
\(52 - 168 = -116\)
- Addition: Calculate \(-116 + 169\).
\(-116 + 169 = 53\)
Therefore, the value that comes in place of the question mark is 53.
Important Questions from Maths Operations
- If 37 D 18 E 84 F 21 = 51 and 57 D 28 E 90 F 15 = 79, then 14 D 17 E 8 F 4 = ?
- This question is based on the five, three-digit numbers given below.
(Left) 194 582 419 149 825 (Right)
(Example- 697 – First digit = 6, second digit = 9 and third digit = 7)
What will be the resultant if the third digit of the highest number is added to the second digit of the lowest number? - If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 4813576, what will be the difference between the highest and the lowest digits in the number thus formed?
- If '+' means '-', '-' means '×', '×' means '÷', '÷' means '+', then what will come in place of the question mark (?) in the following equation?
316 - 2 ÷ 37 + 436 × 4 = ? - If 1 is added to each odd digit and 1 is subtracted from each even digit in the number 21673458, what will be the product of the greatest and smallest digit in the new number thus formed?
