Select the number that will come in the place of the question mark(?), if '+' and ' - ' are interchanged and 'x' and '÷' are interchanged? 42 x 7 ÷ 13 - 67 + 13 = ?
132
To solve this question, we need to follow the given instructions: interchange '+' and '−', and interchange '×' and '÷'. The given equation is:
42 × 7 ÷ 13 − 67 + 13 = ?
After interchanging the signs, the equation becomes:
42 ÷ 7 × 13 + 67 − 13 = ?
Now, we follow the order of operations (BODMAS/PEMDAS): Division first, then multiplication, then addition, and finally subtraction.
- Division: 42 ÷ 7 = 6
- Multiplication: 6 × 13 = 78
- Addition: 78 + 67 = 145
- Subtraction: 145 − 13 = 132
Therefore, the answer is 132.
The step-by-step solution demonstrates the correct application of the BODMAS rule after the interchanging of the arithmetic operators. The order of operations dictates that division and multiplication should be done before addition and subtraction. The intermediate steps showcase how each operation is performed sequentially, leading to the final correct answer. Careful attention to the order of operations is crucial for solving arithmetic expressions correctly, especially when dealing with multiple operations of different priorities. Understanding the concept of BODMAS/PEMDAS is fundamental for solving many mathematical problems.
Important Questions from Maths Operations
- If 37 D 18 E 84 F 21 = 51 and 57 D 28 E 90 F 15 = 79, then 14 D 17 E 8 F 4 = ?
- This question is based on the five, three-digit numbers given below.
(Left) 194 582 419 149 825 (Right)
(Example- 697 – First digit = 6, second digit = 9 and third digit = 7)
What will be the resultant if the third digit of the highest number is added to the second digit of the lowest number? - If 1 is added to each odd digit and 2 is subtracted from each even digit in the number 4813576, what will be the difference between the highest and the lowest digits in the number thus formed?
- If '+' means '-', '-' means '×', '×' means '÷', '÷' means '+', then what will come in place of the question mark (?) in the following equation?
316 - 2 ÷ 37 + 436 × 4 = ? - If 1 is added to each odd digit and 1 is subtracted from each even digit in the number 21673458, what will be the product of the greatest and smallest digit in the new number thus formed?
