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? 14 A 30 B 45 C 15 D 9 = ?
27
To solve the given equation, we need to decode the symbols by replacing them with their respective arithmetic operations.
Identify the symbols and their corresponding operations:
- 'A' stands for division '÷'.
- 'B' stands for multiplication '×'.
- 'C' stands for addition '+'.
- 'D' stands for subtraction '−'.
Substitute the operations for their corresponding symbols in the equation:
Original Equation: \(14 \, A \, 30 \, B \, 45 \, C \, 15 \, D \, 9\\)
With Symbols Replaced: \(14 \, ÷ \, 30 \, × \, 45 \, + \, 15 \, - \, 9\\)
Apply the order of operations, also known as BODMAS/BIDMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction):
- First, perform the division: \(14 ÷ 30 = \dfrac{14}{30} = \dfrac{7}{15}\)
- Next, perform the multiplication: \(\dfrac{7}{15} × 45 = \dfrac{7 × 45}{15} = \dfrac{315}{15} = 21\)
- Then, perform the addition: \(21 + 15 = 36\)
- Finally, perform the subtraction: \(36 - 9 = 27\)
The result of the equation is 27, which matches the given correct answer choice.
Therefore, the correct answer is 27.
Similar Questions
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If ‘A’ stands for ‘+’, ‘B’ stands for ‘−’, ‘C’ stands for ‘×’ and ‘D’ stands for ‘÷’, then what will come in place of the question mark (?) in the following equation?
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What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘−’ are interchanged and ‘x’ and ‘÷’ are interchanged?
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What will come in place of the question mark (?) in the following equation if ‘+’ and ‘−’
are interchanged and ‘×’ and ‘÷’ are interchanged?
42 × 6 ÷ 7 − 35 + 19 = ?
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.)
