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 = ?
65
To solve the equation, we need to interchange the operators as per the given instructions and then calculate the expression. The instructions are:
- The '+' and '−' operators are interchanged.
- The '×' and '÷' operators are interchanged.
Given equation: \(42 \times 6 \div 7 - 35 + 19 = ?\)
The equation with the operators interchanged becomes:
\(42 \div 6 \times 7 + 35 - 19 = ?\)
We need to follow the BODMAS/BIDMAS rule (Brackets, Orders (i.e., powers and roots, etc.), Division and Multiplication (left-to-right), Addition and Subtraction (left-to-right)) to evaluate the expression.
- First, solve the division: \(42 \div 6 = 7\)
- Next, solve the multiplication: \(7 \times 7 = 49\)
- Then, perform the addition: \(49 + 35 = 84\)
- Finally, perform the subtraction: \(84 - 19 = 65\)
Therefore, the value of \(?\) in the expression is 65.
This matches the provided correct answer option, which is 65.
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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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.)
