What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘−’ are interchanged and ‘x’ and ‘÷’ are interchanged? 5 ÷ 3 + 15 x 5 − 3 = ?
15
To solve this problem, we need to replace the mathematical operators as specified in the question. Let's go through the steps:
- Identify the original equation: \(5 \div 3 + 15 \times 5 - 3 = ?\)
- According to the question, the operations are interchanged as follows:
- '+' becomes '-' and '-' becomes '+'
- '×' becomes '÷' and '÷' becomes '×'
- Applying these changes, the equation becomes: \(5 \times 3 - 15 \div 5 + 3\)
- Next, follow the order of operations (BODMAS/BIDMAS - Brackets, Orders/Indices, Division and Multiplication, Addition and Subtraction):
- First, handle multiplication and division from left to right:
- \(5 \times 3 = 15\)
- \(15 \div 5 = 3\)
- Substitution in the equation gives: \(15 - 3 + 3\)
- Proceed with addition and subtraction from left to right:
- \(15 - 3 = 12\)
- \(12 + 3 = 15\)
- First, handle multiplication and division from left to right:
Thus, the correct answer is 15.
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?
28 A 16 C 3 B 12 D 4 = ?
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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?
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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.)
