Question
If '+' represents '\(\times\)', '-' represents '+', '\(\times\)' represents '\(\div\)' and '\(\div\)' represents '-', then find the value of the following expression.
\(6 \div 8 \times 2 - 4\)
This question was previously asked in
RRB ALP 2018 CBT 2 Fitter Question Paper (21-Jan-2019) (Shift 3)
The correct answer is
6
Expression Simplification with Operator Substitution
The problem requires evaluating a mathematical expression after replacing the operators based on a given set of rules.
Operator Substitution Rules
The given substitution rules are:
- '+' represents '\(\\times\)'
- '-' represents '+'
- '\(\\times\)' represents '\(\\div\)'
- '\(\\div\)' represents '-'
Applying the Substitution
The original expression is: \(6 \)\div\( 8 \)\times\( 2 - 4\)
Applying the substitution rules yields the new expression:
\(6 - 8 \)\div\( 2 + 4\)
Evaluating the New Expression
We evaluate the new expression \(6 - 8 \)\div\( 2 + 4\) using the standard order of operations (BODMAS/PEMDAS):
- Division: First, perform the division: \(8 \div 2 = 4\). The expression becomes \(6 - 4 + 4\).
- Subtraction: Next, perform the subtraction from left to right: \(6 - 4 = 2\). The expression becomes \(2 + 4\).
- Addition: Finally, perform the addition: \(2 + 4 = 6\).
Therefore, the value of the expression after substitution is 6.
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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?
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