What will come in the place of question mark (?) in the following equation, if ‘+’ and ‘−‘ are interchanged and ‘×’ and ‘÷’ are interchanged? 99 ÷ 9 − 999 × 9 + 99 = ?
Given equation:
99 ÷ 9 − 999 × 9 + 99 = ?
Interchanging ‘+’ and ‘−’ and ‘×’ and ‘÷’:
The equation becomes:
99 × 9 + 999 ÷ 9 − 99 = ?
Following the BODMAS rule (Brackets, Of, Division, Multiplication, Addition, Subtraction), we solve the equation step-by-step:
- Division: \(999 ÷ 9 = 111\)
- Multiplication: \(99 × 9 = 891\)
- Addition: \(891 + 111 = 1002\)
- Subtraction: \(1002 - 99 = 903\)
Therefore, the solution to the equation is 903.
The core concept here involves understanding the order of operations (BODMAS/PEMDAS) and correctly applying the given interchanges of operators. Failing to follow the correct order of operations would lead to an incorrect answer. The interchange of operators significantly alters the calculation sequence. It's crucial to meticulously apply each step, ensuring accuracy in each arithmetic operation. A common mistake would be to perform the operations from left to right without considering the order of precedence defined by BODMAS. Misinterpreting the instruction to interchange operators could also lead to errors. The careful and sequential application of the modified operations, following BODMAS strictly, is key to reaching the correct solution. Applying these steps accurately demonstrates a clear understanding of mathematical operations and their order of precedence.
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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.)
