What will come in place of the question mark (?) in the following equation if ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘+’ and ‘÷’ means ‘−’? (280 + 10 × 20) − 8 ÷ 6 = ?
Given the equation:
(280 + 10 × 20) − 8 ÷ 6 = ?
We are given the following substitutions:
- + means ÷
- − means ×
- × means +
- ÷ means −
Substituting these values into the equation, we get:
(280 ÷ 10 + 20) × 8 − 6 = ?
Following the order of operations (division before addition, then multiplication before subtraction), we calculate as follows:
- \(280 ÷ 10 = 28\)
- \(28 + 20 = 48\)
- \(48 × 8 = 384\)
- \(384 − 6 = 378\)
Therefore, the solution to the equation is 378.
The step-by-step breakdown ensures clarity and accuracy in solving the problem using the given substitutions. The order of operations is strictly adhered to, avoiding common errors in mathematical computations. Each step is clearly explained, facilitating a thorough understanding of the solution process. This approach is crucial for mastering mathematical problem-solving techniques and ensuring consistent accuracy.
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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.)
