If '$' means 'addition', '@' means 'subtraction', '#' means 'multiplication', and '&' means 'division'. What will be the value of the following expression? 54 & 6 # 2 $ 8 @ 4
Expression Evaluation with Symbol Substitution
The question asks to evaluate an arithmetic expression where symbols represent mathematical operations. We need to substitute the symbols with their corresponding operators and then solve the expression using the order of operations (BODMAS/PEMDAS).
Symbol Mapping
First, let's define the mapping provided:
- $ means addition ($+$)
- $@$ means subtraction ($-$)
- $#$ means multiplication ($*$)
- $&$ means division ($/$)
Expression Transformation
The given expression is: $54 & 6 # 2 $ 8 @ 4$
Substituting the symbols with their operators, we get:
$54 / 6 * 2 + 8 - 4$
Calculation using BODMAS/PEMDAS
We follow the order of operations (Division, Multiplication, Addition, Subtraction):
- Division: Calculate $54 / 6$. $54 \div 6 = 9$ The expression becomes: $9 * 2 + 8 - 4$
- Multiplication: Calculate $9 * 2$. $9 \times 2 = 18$ The expression becomes: $18 + 8 - 4$
- Addition: Calculate $18 + 8$. $18 + 8 = 26$ The expression becomes: $26 - 4$
- Subtraction: Calculate $26 - 4$. $26 - 4 = 22$
Final Result
The value of the expression $54 & 6 # 2 $ 8 @ 4$ is 22.
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.)
