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
The two expressions on either side of the equal sign will have the same value if two numbers on the left-hand side are interchanged and two signs on the right-hand side are interchanged.
What are those two numbers (not digits) and the two signs?
4 × 3 ÷ 6 + 2 - 8 = 10 + 2 × 3 ÷ 5 - 18
- At a banquet, every 2 people shared a cake, every 6 people shared a bowl of soup, and every 8 people shared a platter of fruit. There were a total of 42 items. How many people were present at the banquet?
If + means ×, × means −, − means ÷, and ÷ means +, what will be the value of the given expression?
24 – 4 + 18 × 3 ÷ 7
Which two signs need to be interchanged to make the following equation correct?
{(78 + 70) − (6 × 2))} ÷ 2 = 10Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
(87 * 63) * 6 * 1 * 5
Select the figure from among the given options that can replace the question mark (?) in the following series.
- If += -, - *, *= /, / = +; then,
what is 6+ (4*2)-3/1? - What will come in place of the question mark (?) in the following equation?
\(72\div9-15+4\times3=?\) If + means -, ÷ means +, - means x , and x means ÷ then,
what is \(35 \div 7 - 5 + 20\)?- If + = \(\times\), - = +, \(\times\) = \(\div\), / = -; then,
what is \((4+5) \times 2 - 3 \div 1\)?
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
