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?
36 B 17 D 59 C 224 A 7 = ?
Solving the Symbol Substitution Equation
This problem requires us to decode a mathematical equation where letters represent arithmetic operators. We need to substitute the given letters with their corresponding symbols and then solve the equation using the standard order of operations (BODMAS/PEMDAS).
Understanding the Symbol Substitutions
The problem provides the following mapping:
- 'A' represents '÷' (division)
- 'B' represents '×' (multiplication)
- 'C' represents '+' (addition)
- 'D' represents '−' (subtraction)
Applying Substitutions to the Equation
The given equation is: 36 B 17 D 59 C 224 A 7 = ?
Substituting the symbols based on the provided key, we get:
36 × 17 - 59 + 224 ÷ 7 = ?
Calculating the Result using Order of Operations (BODMAS/PEMDAS)
The BODMAS/PEMDAS rule dictates the order in which operations should be performed: Brackets/Parentheses, Orders/Exponents, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
- Division: First, calculate
224 ÷ 7.$$ 224 \div 7 = 32 $$
The equation now becomes:
36 × 17 - 59 + 32 = ? - Multiplication: Next, calculate
36 × 17.$$ 36 \times 17 = 612 $$
The equation now becomes:
612 - 59 + 32 = ? - Subtraction: Perform subtraction from left to right. Calculate
612 - 59.$$ 612 - 59 = 553 $$
The equation now becomes:
553 + 32 = ? - Addition: Finally, perform addition. Calculate
553 + 32.$$ 553 + 32 = 585 $$
Final Result
Therefore, the value that comes in place of the question mark (?) is 585.
Similar Questions
Which two numbers (not individual digits) should be interchanged to make the given equation correct?
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$12 \times 9 + 27 \div 3 - 5 = 60$
- Which two signs should be interchanged to make the given equation correct?
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[(48 - 2) ÷ 23] × 19 + 3 = ?
Which two numbers (not individual digits) should be interchanged to make the given equation correct?
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$56 \div 28 - 72 + 18 \times 6 = 60$- Which two signs should be interchanged to make the given equation correct?
$551 \div 19 - 16 \times 12 + 121 = 100$
Important Questions from Bodmas Rule
If 2945 ÷ 19 – 11 × 5 = 29 + a, find the value of a.
DIRECTIONS: What should come in place of the question mark (?) in the following question?
3800 - 22 × 1968 ÷ 48 = ? × 7
Solve: {7.88 × 2 + 2.4 × 5 - 242.4 ÷ 4 + [9.2 × 4 - 2.46 of 3 + (36.3 ÷ 3 - 1.42 × 2)]}
What will come in the place of question mark (?) in the given expression?
(420 ÷ 12 × 35 + 452- 152) = ?2
Evaluate: (13 × 8 - √81 × 6 + 1 ) ÷ (√49 + 72 - 18 × 2 + 19)
