value of \(100 \ \text{Delta} \ 5 \ \text{Beta} \ 10 \ \text{Alpha} \ 2 \ \text{Gamma} \ 3\)?
Solving the Coded Arithmetic Expression
This problem asks us to evaluate a mathematical expression where the standard arithmetic operations are represented by specific words: 'Alpha', 'Beta', 'Gamma', and 'Delta'. We need to substitute these words with their corresponding mathematical symbols and then calculate the result following the correct order of operations.
Decoding the Symbols
First, let's establish the mapping between the given words and the arithmetic operations:
- 'Alpha' represents addition ($+$)
- 'Beta' represents subtraction ($-$)
- 'Gamma' represents multiplication ($*$)
- 'Delta' represents division ($/$)
Substituting Symbols in the Expression
The given expression is: $100 Delta 5 Beta 10 Alpha 2 Gamma 3$.
Substituting the words with their corresponding mathematical symbols based on the definitions above, we get:
$100 / 5 - 10 + 2 * 3$
Applying the Order of Operations (BODMAS/PEMDAS)
To correctly evaluate the expression $100 / 5 - 10 + 2 * 3$, we must follow the standard order of operations (often remembered by the acronyms BODMAS or PEMDAS):
- Brackets / Parentheses
- Orders / Exponents
- Division and Multiplication (from left to right)
- Addition and Subtraction (from left to right)
Let's apply this to our expression:
- Division: Perform the division first. $100 \div 5 = 20$ The expression becomes: $20 - 10 + 2 * 3$
- Multiplication: Perform the multiplication next. $2 \times 3 = 6$ The expression becomes: $20 - 10 + 6$
- Subtraction: Perform subtraction from left to right. $20 - 10 = 10$ The expression becomes: $10 + 6$
- Addition: Perform the final addition. $10 + 6 = 16$
Final Result
After performing all the operations in the correct order, the value of the expression $100 Delta 5 Beta 10 Alpha 2 Gamma 3$ is 16.
Similar Questions
- If 5#3=8 and 7#2=9, then what is the value of 9#4?
If + means -, $\div$ means +, - means $\times$, and $\times$ means $\div$ then,
what is $18 \div 6 - 2 + 8$?If+means -,$\div$means+ , - means $\times$, and $\times$means $\div$, then, what is $30 - 5 + 10 \div 5$?
What will come in place of the question mark (?) in the following equation?
100 ÷ 10 – 7 + 2 × 6 = ?- If += -, - *, *= /, / = +; then,
what is 6+ (4*2)-3/1? If + means -, ÷ means +, - means ×, and × means ÷, then what is the value of the following expression?
15 - 4 ÷ 6 + 12 = ?
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what is (3+4)* 2-1/5?
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.)
